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Oliphant et al. +Maintainer-Email: NumPy Developers +License-Expression: BSD-3-Clause AND 0BSD AND MIT AND Zlib AND CC0-1.0 +License-File: LICENSE.txt +License-File: numpy/_core/include/numpy/libdivide/LICENSE.txt +License-File: numpy/_core/src/common/pythoncapi-compat/COPYING +License-File: numpy/_core/src/highway/LICENSE +License-File: numpy/_core/src/multiarray/dragon4_LICENSE.txt +License-File: numpy/_core/src/npysort/x86-simd-sort/LICENSE.md +License-File: numpy/_core/src/umath/svml/LICENSE +License-File: numpy/fft/pocketfft/LICENSE.md +License-File: numpy/linalg/lapack_lite/LICENSE.txt +License-File: numpy/ma/LICENSE +License-File: numpy/random/LICENSE.md +License-File: numpy/random/src/distributions/LICENSE.md +License-File: numpy/random/src/mt19937/LICENSE.md +License-File: numpy/random/src/pcg64/LICENSE.md +License-File: numpy/random/src/philox/LICENSE.md +License-File: numpy/random/src/sfc64/LICENSE.md +License-File: numpy/random/src/splitmix64/LICENSE.md +Classifier: Development Status :: 5 - Production/Stable +Classifier: Intended Audience :: Science/Research +Classifier: Intended Audience :: Developers +Classifier: Programming Language :: C +Classifier: Programming Language :: Python +Classifier: Programming Language :: Python :: 3 +Classifier: Programming Language :: Python :: 3.11 +Classifier: Programming Language :: Python :: 3.12 +Classifier: Programming Language :: Python :: 3.13 +Classifier: Programming Language :: Python :: 3.14 +Classifier: Programming Language :: Python :: 3 :: Only +Classifier: Programming Language :: Python :: Implementation :: CPython +Classifier: Topic :: Software Development +Classifier: Topic :: Scientific/Engineering +Classifier: Typing :: Typed +Classifier: Operating System :: Microsoft :: Windows +Classifier: Operating System :: POSIX +Classifier: Operating System :: Unix +Classifier: Operating System :: MacOS +Project-URL: homepage, https://numpy.org +Project-URL: documentation, https://numpy.org/doc/ +Project-URL: source, https://github.com/numpy/numpy +Project-URL: download, https://pypi.org/project/numpy/#files +Project-URL: tracker, https://github.com/numpy/numpy/issues +Project-URL: release notes, https://numpy.org/doc/stable/release +Requires-Python: >=3.11 +Description-Content-Type: text/markdown + +

+ +


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Tests can then be run after installation with: + + python -c "import numpy, sys; sys.exit(numpy.test() is False)" + +Code of Conduct +---------------------- + +NumPy is a community-driven open source project developed by a diverse group of +[contributors](https://numpy.org/teams/). The NumPy leadership has made a strong +commitment to creating an open, inclusive, and positive community. Please read the +[NumPy Code of Conduct](https://numpy.org/code-of-conduct/) for guidance on how to interact +with others in a way that makes our community thrive. + +Call for Contributions +---------------------- + +The NumPy project welcomes your expertise and enthusiasm! + +Small improvements or fixes are always appreciated. If you are considering larger contributions +to the source code, please contact us through the [mailing +list](https://mail.python.org/mailman/listinfo/numpy-discussion) first. + +Writing code isn’t the only way to contribute to NumPy. 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You can +ask on the mailing list or here, on GitHub, by opening a new issue or leaving a +comment on a relevant issue that is already open. + +Our preferred channels of communication are all public, but if you’d like to +speak to us in private first, contact our community coordinators at +numpy-team@googlegroups.com or on Slack (write numpy-team@googlegroups.com for +an invitation). + +We also have a biweekly community call, details of which are announced on the +mailing list. You are very welcome to join. + +If you are new to contributing to open source, [this +guide](https://opensource.guide/how-to-contribute/) helps explain why, what, +and how to successfully get involved. diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/RECORD b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/RECORD new file mode 100644 index 0000000000000000000000000000000000000000..52a29cf9134671dde567882b73502ca58a13c907 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/RECORD @@ -0,0 +1,1533 @@ +../../../bin/f2py,sha256=bPugoHfzFWA92GMAMJZc61XBI--lQ7rHSav3e8oai0o,252 +../../../bin/numpy-config,sha256=jVjnbaSTxF50e1ULbodJsSU8FXaEbqIIB63oirEZY9U,252 +numpy-2.4.6.dist-info/INSTALLER,sha256=zuuue4knoyJ-UwPPXg8fezS7VCrXJQrAP7zeNuwvFQg,4 +numpy-2.4.6.dist-info/METADATA,sha256=sILFLMvjuIC64XfDUXG1LtbJR_OtceN2Lycj9gpBHeA,6608 +numpy-2.4.6.dist-info/RECORD,, 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a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/LICENSE.txt b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/LICENSE.txt new file mode 100644 index 0000000000000000000000000000000000000000..029edda290588ba5cc924f6544076473c2119407 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/LICENSE.txt @@ -0,0 +1,935 @@ +Copyright (c) 2005-2025, NumPy Developers. +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + + * Redistributions in binary form must reproduce the above + copyright notice, this list of conditions and the following + disclaimer in the documentation and/or other materials provided + 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IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING +FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS +IN THE SOFTWARE. + +dragon4.c|h h contains a modified version of Ryan Juckett's Dragon4 +implementation, obtained from https://www.ryanjuckett.com, +which has been ported from C++ to C and which has +modifications specific to printing floats in numpy. + +Ryan Juckett's original code was under the Zlib license; he gave numpy +permission to include it under the MIT license instead. diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/_core/src/npysort/x86-simd-sort/LICENSE.md b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/_core/src/npysort/x86-simd-sort/LICENSE.md new file mode 100644 index 0000000000000000000000000000000000000000..3e32165ed474ee2b9877a6716beceb0271643b5a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/_core/src/npysort/x86-simd-sort/LICENSE.md @@ -0,0 +1,28 @@ +BSD 3-Clause License + +Copyright (c) 2022, Intel. All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + +1. Redistributions of source code must retain the above copyright notice, this + list of conditions and the following disclaimer. + +2. Redistributions in binary form must reproduce the above copyright notice, + this list of conditions and the following disclaimer in the documentation + and/or other materials provided with the distribution. + +3. Neither the name of the copyright holder nor the names of its + contributors may be used to endorse or promote products derived from + this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +DISCLAIMED. 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IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/fft/pocketfft/LICENSE.md b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/fft/pocketfft/LICENSE.md new file mode 100644 index 0000000000000000000000000000000000000000..c3a4c06a92d024e12ab76ce6b20eae815979552e --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/fft/pocketfft/LICENSE.md @@ -0,0 +1,25 @@ +Copyright (C) 2010-2018 Max-Planck-Society +All rights reserved. + +Redistribution and use in source and binary forms, with or without modification, +are permitted provided that the following conditions are met: + +* Redistributions of source code must retain the above copyright notice, this + list of conditions and the following disclaimer. +* Redistributions in binary form must reproduce the above copyright notice, this + list of conditions and the following disclaimer in the documentation and/or + other materials provided with the distribution. +* Neither the name of the copyright holder nor the names of its contributors may + be used to endorse or promote products derived from this software without + specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND +ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED +WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +DISCLAIMED. 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All rights + reserved. +Copyright (c) 2000-2013 The University of California Berkeley. All + rights reserved. +Copyright (c) 2006-2013 The University of Colorado Denver. All rights + reserved. + +$COPYRIGHT$ + +Additional copyrights may follow + +$HEADER$ + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + +- Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + +- Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer listed + in this license in the documentation and/or other materials + provided with the distribution. + +- Neither the name of the copyright holders nor the names of its + contributors may be used to endorse or promote products derived from + this software without specific prior written permission. + +The copyright holders provide no reassurances that the source code +provided does not infringe any patent, copyright, or any other +intellectual property rights of third parties. The copyright holders +disclaim any liability to any recipient for claims brought against +recipient by any third party for infringement of that parties +intellectual property rights. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/ma/LICENSE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/ma/LICENSE new file mode 100644 index 0000000000000000000000000000000000000000..b41aae0c89a0f2486843d395f972db759c73c4b8 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/ma/LICENSE @@ -0,0 +1,24 @@ +* Copyright (c) 2006, University of Georgia and Pierre G.F. Gerard-Marchant +* All rights reserved. +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions are met: +* +* * Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* * Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in the +* documentation and/or other materials provided with the distribution. +* * Neither the name of the University of Georgia nor the +* names of its contributors may be used to endorse or promote products +* derived from this software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND ANY +* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED +* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +* DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY +* DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES +* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND +* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. \ No newline at end of file diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/LICENSE.md b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/LICENSE.md new file mode 100644 index 0000000000000000000000000000000000000000..a6cf1b17e99725556ac56ce3661498df1ee2276a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/LICENSE.md @@ -0,0 +1,71 @@ +**This software is dual-licensed under the The University of Illinois/NCSA +Open Source License (NCSA) and The 3-Clause BSD License** + +# NCSA Open Source License +**Copyright (c) 2019 Kevin Sheppard. All rights reserved.** + +Developed by: Kevin Sheppard (, +) +[http://www.kevinsheppard.com](http://www.kevinsheppard.com) + +Permission is hereby granted, free of charge, to any person obtaining a copy of +this software and associated documentation files (the "Software"), to deal with +the Software without restriction, including without limitation the rights to +use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies +of the Software, and to permit persons to whom the Software is furnished to do +so, subject to the following conditions: + +Redistributions of source code must retain the above copyright notice, this +list of conditions and the following disclaimers. + +Redistributions in binary form must reproduce the above copyright notice, this +list of conditions and the following disclaimers in the documentation and/or +other materials provided with the distribution. + +Neither the names of Kevin Sheppard, nor the names of any contributors may be +used to endorse or promote products derived from this Software without specific +prior written permission. + +**THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +CONTRIBUTORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH +THE SOFTWARE.** + + +# 3-Clause BSD License +**Copyright (c) 2019 Kevin Sheppard. All rights reserved.** + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + +1. Redistributions of source code must retain the above copyright notice, + this list of conditions and the following disclaimer. + +2. Redistributions in binary form must reproduce the above copyright notice, + this list of conditions and the following disclaimer in the documentation + and/or other materials provided with the distribution. + +3. Neither the name of the copyright holder nor the names of its contributors + may be used to endorse or promote products derived from this software + without specific prior written permission. + +**THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE +LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF +THE POSSIBILITY OF SUCH DAMAGE.** + +# Components + +Many parts of this module have been derived from original sources, +often the algorithm's designer. Component licenses are located with +the component code. diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/distributions/LICENSE.md b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/distributions/LICENSE.md new file mode 100644 index 0000000000000000000000000000000000000000..31576ba4b1f26876cae13c0e08b6c7a81b4f8521 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/distributions/LICENSE.md @@ -0,0 +1,61 @@ +## NumPy + +Copyright (c) 2005-2017, NumPy Developers. +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + +* Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + +* Redistributions in binary form must reproduce the above + copyright notice, this list of conditions and the following + disclaimer in the documentation and/or other materials provided + with the distribution. + +* Neither the name of the NumPy Developers nor the names of any + contributors may be used to endorse or promote products derived + from this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + + +## Julia + +The ziggurat methods were derived from Julia. + +Copyright (c) 2009-2019: Jeff Bezanson, Stefan Karpinski, Viral B. Shah, +and other contributors: + +https://github.com/JuliaLang/julia/contributors + +Permission is hereby granted, free of charge, to any person obtaining +a copy of this software and associated documentation files (the +"Software"), to deal in the Software without restriction, including +without limitation the rights to use, copy, modify, merge, publish, +distribute, sublicense, and/or sell copies of the Software, and to +permit persons to whom the Software is furnished to do so, subject to +the following conditions: + +The above copyright notice and this permission notice shall be +included in all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE +LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION +OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION +WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. \ No newline at end of file diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/mt19937/LICENSE.md b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/mt19937/LICENSE.md new file mode 100644 index 0000000000000000000000000000000000000000..f65c3d46e62406a38d984cd0551fe38a298b2d7f --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/mt19937/LICENSE.md @@ -0,0 +1,61 @@ +# MT19937 + +Copyright (c) 2003-2005, Jean-Sebastien Roy (js@jeannot.org) + +The rk_random and rk_seed functions algorithms and the original design of +the Mersenne Twister RNG: + + Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, + All rights reserved. + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions + are met: + + 1. Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + + 2. Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + + 3. The names of its contributors may not be used to endorse or promote + products derived from this software without specific prior written + permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER +OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, +EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR +PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF +LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING +NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +Original algorithm for the implementation of rk_interval function from +Richard J. Wagner's implementation of the Mersenne Twister RNG, optimised by +Magnus Jonsson. + +Constants used in the rk_double implementation by Isaku Wada. + +Permission is hereby granted, free of charge, to any person obtaining a +copy of this software and associated documentation files (the +"Software"), to deal in the Software without restriction, including +without limitation the rights to use, copy, modify, merge, publish, +distribute, sublicense, and/or sell copies of the Software, and to +permit persons to whom the Software is furnished to do so, subject to +the following conditions: + +The above copyright notice and this permission notice shall be included +in all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS +OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. +IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY +CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, +TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE +SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. \ No newline at end of file diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/pcg64/LICENSE.md b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/pcg64/LICENSE.md new file mode 100644 index 0000000000000000000000000000000000000000..7aac7a51c96abdd62bbec2bf9a2b518c868743ec --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/pcg64/LICENSE.md @@ -0,0 +1,22 @@ +# PCG64 + +## The MIT License + +PCG Random Number Generation for C. + +Copyright 2014 Melissa O'Neill + +Permission is hereby granted, free of charge, to any person obtaining +a copy of this software and associated documentation files (the "Software"), +to deal in the Software without restriction, including without limitation +the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS +FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR +COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER +IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN +CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/philox/LICENSE.md b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/philox/LICENSE.md new file mode 100644 index 0000000000000000000000000000000000000000..9738e44de3b4b7c76d33c8980573577bb83cb828 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/philox/LICENSE.md @@ -0,0 +1,31 @@ +# PHILOX + +Copyright 2010-2012, D. E. Shaw Research. +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + +* Redistributions of source code must retain the above copyright + notice, this list of conditions, and the following disclaimer. + +* Redistributions in binary form must reproduce the above copyright + notice, this list of conditions, and the following disclaimer in the + documentation and/or other materials provided with the distribution. + +* Neither the name of D. E. Shaw Research nor the names of its + contributors may be used to endorse or promote products derived from + this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/sfc64/LICENSE.md b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/sfc64/LICENSE.md new file mode 100644 index 0000000000000000000000000000000000000000..21dd604afe16c2ce8d192a1d5fca9aec6702afee --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/sfc64/LICENSE.md @@ -0,0 +1,27 @@ +# SFC64 + +## The MIT License + +Adapted from a C++ implementation of Chris Doty-Humphrey's SFC PRNG. + +https://gist.github.com/imneme/f1f7821f07cf76504a97f6537c818083 + +Copyright (c) 2018 Melissa E. O'Neill + +Permission is hereby granted, free of charge, to any person obtaining a +copy of this software and associated documentation files (the "Software"), +to deal in the Software without restriction, including without limitation +the rights to use, copy, modify, merge, publish, distribute, sublicense, +and/or sell copies of the Software, and to permit persons to whom the +Software is furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING +FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER +DEALINGS IN THE SOFTWARE. diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/splitmix64/LICENSE.md b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/splitmix64/LICENSE.md new file mode 100644 index 0000000000000000000000000000000000000000..3c4d73b920f6eb58c5fa18144962bf8956601b35 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy-2.4.6.dist-info/licenses/numpy/random/src/splitmix64/LICENSE.md @@ -0,0 +1,9 @@ +# SPLITMIX64 + +Written in 2015 by Sebastiano Vigna (vigna@acm.org) + +To the extent possible under law, the author has dedicated all copyright +and related and neighboring rights to this software to the public domain +worldwide. This software is distributed without any warranty. + +See . \ No newline at end of file diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy.libs/libgfortran-040039e1-0352e75f.so.5.0.0 b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy.libs/libgfortran-040039e1-0352e75f.so.5.0.0 new file mode 100644 index 0000000000000000000000000000000000000000..32aeee9a92e063a830909443ffa10a61f8eb4896 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy.libs/libgfortran-040039e1-0352e75f.so.5.0.0 @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:c6090048eccc763522c12ef016f81da6b627cb3a044f55cf0479a839c41c0980 +size 2833617 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy.libs/libquadmath-96973f99-934c22de.so.0.0.0 b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy.libs/libquadmath-96973f99-934c22de.so.0.0.0 new file mode 100644 index 0000000000000000000000000000000000000000..4e1eb5101254f9fcebd5d9b3fec1f6413b0f931c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy.libs/libquadmath-96973f99-934c22de.so.0.0.0 @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:6ed5137f412781ad7863439fb543613f620b43c32b63292a0029246162f5bbc6 +size 250985 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy.libs/libscipy_openblas64_-32a4b2a6.so b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy.libs/libscipy_openblas64_-32a4b2a6.so new file mode 100644 index 0000000000000000000000000000000000000000..9c276e99bcd4aca775f3596ac083adb6abdb126d --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy.libs/libscipy_openblas64_-32a4b2a6.so @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:05c9f9eb89ee68a4b9d673184fa91c99587e736392c0c2d49180a8aa5303d080 +size 25409073 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/_polytypes.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/_polytypes.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b5a603b6ca85a751eaef3f6912b943cdb9cb60d8 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/_polytypes.pyi @@ -0,0 +1,501 @@ +# ruff: noqa: PYI046 + +from collections.abc import Sequence +from typing import ( + Any, + Literal, + NoReturn, + Protocol, + Self, + SupportsIndex, + SupportsInt, + TypeAlias, + TypeVar, + overload, + type_check_only, +) + +import numpy as np +import numpy.typing as npt +from numpy._typing import ( + _ArrayLikeComplex_co, + # array-likes + _ArrayLikeFloat_co, + _ArrayLikeNumber_co, + _ComplexLike_co, + _FloatLike_co, + # scalar-likes + _IntLike_co, + _NestedSequence, + _NumberLike_co, + _SupportsArray, +) + +_T = TypeVar("_T") +_T_contra = TypeVar("_T_contra", contravariant=True) +_ScalarT = TypeVar("_ScalarT", bound=np.number | np.bool | np.object_) + +# compatible with e.g. int, float, complex, Decimal, Fraction, and ABCPolyBase +@type_check_only +class _SupportsCoefOps(Protocol[_T_contra]): + def __eq__(self, x: object, /) -> bool: ... + def __ne__(self, x: object, /) -> bool: ... + def __neg__(self, /) -> Self: ... + def __pos__(self, /) -> Self: ... + def __add__(self, x: _T_contra, /) -> Self: ... + def __sub__(self, x: _T_contra, /) -> Self: ... + def __mul__(self, x: _T_contra, /) -> Self: ... + def __pow__(self, x: _T_contra, /) -> Self | float: ... + def __radd__(self, x: _T_contra, /) -> Self: ... + def __rsub__(self, x: _T_contra, /) -> Self: ... + def __rmul__(self, x: _T_contra, /) -> Self: ... + +_Series: TypeAlias = np.ndarray[tuple[int], np.dtype[_ScalarT]] + +_FloatSeries: TypeAlias = _Series[np.floating] +_ComplexSeries: TypeAlias = _Series[np.complexfloating] +_ObjectSeries: TypeAlias = _Series[np.object_] +_CoefSeries: TypeAlias = _Series[np.inexact | np.object_] + +_FloatArray: TypeAlias = npt.NDArray[np.floating] +_ComplexArray: TypeAlias = npt.NDArray[np.complexfloating] +_ObjectArray: TypeAlias = npt.NDArray[np.object_] +_CoefArray: TypeAlias = npt.NDArray[np.inexact | np.object_] + +_Tuple2: TypeAlias = tuple[_T, _T] +_Array1: TypeAlias = np.ndarray[tuple[Literal[1]], np.dtype[_ScalarT]] +_Array2: TypeAlias = np.ndarray[tuple[Literal[2]], np.dtype[_ScalarT]] + +_AnyInt: TypeAlias = SupportsInt | SupportsIndex + +_CoefObjectLike_co: TypeAlias = np.object_ | _SupportsCoefOps[Any] +_CoefLike_co: TypeAlias = _NumberLike_co | _CoefObjectLike_co + +# The term "series" is used here to refer to 1-d arrays of numeric scalars. +_SeriesLikeBool_co: TypeAlias = _SupportsArray[np.dtype[np.bool]] | Sequence[bool | np.bool] +_SeriesLikeInt_co: TypeAlias = _SupportsArray[np.dtype[np.integer | np.bool]] | Sequence[_IntLike_co] +_SeriesLikeFloat_co: TypeAlias = _SupportsArray[np.dtype[np.floating | np.integer | np.bool]] | Sequence[_FloatLike_co] +_SeriesLikeComplex_co: TypeAlias = _SupportsArray[np.dtype[np.number | np.bool]] | Sequence[_ComplexLike_co] +_SeriesLikeObject_co: TypeAlias = _SupportsArray[np.dtype[np.object_]] | Sequence[_CoefObjectLike_co] +_SeriesLikeCoef_co: TypeAlias = _SupportsArray[np.dtype[np.number | np.bool | np.object_]] | Sequence[_CoefLike_co] + +_ArrayLikeCoefObject_co: TypeAlias = _CoefObjectLike_co | _SeriesLikeObject_co | _NestedSequence[_SeriesLikeObject_co] +_ArrayLikeCoef_co: TypeAlias = npt.NDArray[np.number | np.bool | np.object_] | _ArrayLikeNumber_co | _ArrayLikeCoefObject_co + +_Line: TypeAlias = np.ndarray[tuple[int], np.dtype[_ScalarT]] + +@type_check_only +class _FuncLine(Protocol): + @overload + def __call__(self, /, off: _ScalarT, scl: _ScalarT) -> _Line[_ScalarT]: ... + @overload + def __call__(self, /, off: int, scl: int) -> _Line[np.int_]: ... + @overload + def __call__(self, /, off: float, scl: float) -> _Line[np.float64]: ... + @overload + def __call__(self, /, off: complex, scl: complex) -> _Line[np.complex128]: ... + @overload + def __call__(self, /, off: _SupportsCoefOps[Any], scl: _SupportsCoefOps[Any]) -> _Line[np.object_]: ... + +@type_check_only +class _FuncFromRoots(Protocol): + @overload + def __call__(self, /, roots: _SeriesLikeFloat_co) -> _FloatSeries: ... + @overload + def __call__(self, /, roots: _SeriesLikeComplex_co) -> _ComplexSeries: ... + @overload + def __call__(self, /, roots: _SeriesLikeCoef_co) -> _ObjectSeries: ... + +@type_check_only +class _FuncBinOp(Protocol): + @overload + def __call__(self, /, c1: _SeriesLikeBool_co, c2: _SeriesLikeBool_co) -> NoReturn: ... + @overload + def __call__(self, /, c1: _SeriesLikeFloat_co, c2: _SeriesLikeFloat_co) -> _FloatSeries: ... + @overload + def __call__(self, /, c1: _SeriesLikeComplex_co, c2: _SeriesLikeComplex_co) -> _ComplexSeries: ... + @overload + def __call__(self, /, c1: _SeriesLikeCoef_co, c2: _SeriesLikeCoef_co) -> _ObjectSeries: ... + +@type_check_only +class _FuncUnOp(Protocol): + @overload + def __call__(self, /, c: _SeriesLikeFloat_co) -> _FloatSeries: ... + @overload + def __call__(self, /, c: _SeriesLikeComplex_co) -> _ComplexSeries: ... + @overload + def __call__(self, /, c: _SeriesLikeCoef_co) -> _ObjectSeries: ... + +@type_check_only +class _FuncPoly2Ortho(Protocol): + @overload + def __call__(self, /, pol: _SeriesLikeFloat_co) -> _FloatSeries: ... + @overload + def __call__(self, /, pol: _SeriesLikeComplex_co) -> _ComplexSeries: ... + @overload + def __call__(self, /, pol: _SeriesLikeCoef_co) -> _ObjectSeries: ... + +@type_check_only +class _FuncPow(Protocol): + @overload + def __call__(self, /, c: _SeriesLikeFloat_co, pow: _IntLike_co, maxpower: _IntLike_co | None = ...) -> _FloatSeries: ... + @overload + def __call__(self, /, c: _SeriesLikeComplex_co, pow: _IntLike_co, maxpower: _IntLike_co | None = ...) -> _ComplexSeries: ... + @overload + def __call__(self, /, c: _SeriesLikeCoef_co, pow: _IntLike_co, maxpower: _IntLike_co | None = ...) -> _ObjectSeries: ... + +@type_check_only +class _FuncDer(Protocol): + @overload + def __call__( + self, + /, + c: _ArrayLikeFloat_co, + m: SupportsIndex = 1, + scl: _FloatLike_co = 1, + axis: SupportsIndex = 0, + ) -> _FloatArray: ... + @overload + def __call__( + self, + /, + c: _ArrayLikeComplex_co, + m: SupportsIndex = 1, + scl: _ComplexLike_co = 1, + axis: SupportsIndex = 0, + ) -> _ComplexArray: ... + @overload + def __call__( + self, + /, + c: _ArrayLikeCoef_co, + m: SupportsIndex = 1, + scl: _CoefLike_co = 1, + axis: SupportsIndex = 0, + ) -> _ObjectArray: ... + +@type_check_only +class _FuncInteg(Protocol): + @overload + def __call__( + self, + /, + c: _ArrayLikeFloat_co, + m: SupportsIndex = 1, + k: _FloatLike_co | _SeriesLikeFloat_co = [], + lbnd: _FloatLike_co = 0, + scl: _FloatLike_co = 1, + axis: SupportsIndex = 0, + ) -> _FloatArray: ... + @overload + def __call__( + self, + /, + c: _ArrayLikeComplex_co, + m: SupportsIndex = 1, + k: _ComplexLike_co | _SeriesLikeComplex_co = [], + lbnd: _ComplexLike_co = 0, + scl: _ComplexLike_co = 1, + axis: SupportsIndex = 0, + ) -> _ComplexArray: ... + @overload + def __call__( + self, + /, + c: _ArrayLikeCoef_co, + m: SupportsIndex = 1, + k: _CoefLike_co | _SeriesLikeCoef_co = [], + lbnd: _CoefLike_co = 0, + scl: _CoefLike_co = 1, + axis: SupportsIndex = 0, + ) -> _ObjectArray: ... + +@type_check_only +class _FuncVal(Protocol): + @overload + def __call__(self, /, x: _FloatLike_co, c: _SeriesLikeFloat_co, tensor: bool = True) -> np.floating: ... + @overload + def __call__(self, /, x: _NumberLike_co, c: _SeriesLikeComplex_co, tensor: bool = True) -> np.complexfloating: ... + @overload + def __call__(self, /, x: _ArrayLikeFloat_co, c: _ArrayLikeFloat_co, tensor: bool = True) -> _FloatArray: ... + @overload + def __call__(self, /, x: _ArrayLikeComplex_co, c: _ArrayLikeComplex_co, tensor: bool = True) -> _ComplexArray: ... + @overload + def __call__(self, /, x: _ArrayLikeCoef_co, c: _ArrayLikeCoef_co, tensor: bool = True) -> _ObjectArray: ... + @overload + def __call__(self, /, x: _CoefLike_co, c: _SeriesLikeObject_co, tensor: bool = True) -> _SupportsCoefOps[Any]: ... + +@type_check_only +class _FuncVal2D(Protocol): + @overload + def __call__(self, /, x: _FloatLike_co, y: _FloatLike_co, c: _SeriesLikeFloat_co) -> np.floating: ... + @overload + def __call__(self, /, x: _NumberLike_co, y: _NumberLike_co, c: _SeriesLikeComplex_co) -> np.complexfloating: ... + @overload + def __call__(self, /, x: _ArrayLikeFloat_co, y: _ArrayLikeFloat_co, c: _ArrayLikeFloat_co) -> _FloatArray: ... + @overload + def __call__(self, /, x: _ArrayLikeComplex_co, y: _ArrayLikeComplex_co, c: _ArrayLikeComplex_co) -> _ComplexArray: ... + @overload + def __call__(self, /, x: _ArrayLikeCoef_co, y: _ArrayLikeCoef_co, c: _ArrayLikeCoef_co) -> _ObjectArray: ... + @overload + def __call__(self, /, x: _CoefLike_co, y: _CoefLike_co, c: _SeriesLikeCoef_co) -> _SupportsCoefOps[Any]: ... + +@type_check_only +class _FuncVal3D(Protocol): + @overload + def __call__( + self, + /, + x: _FloatLike_co, + y: _FloatLike_co, + z: _FloatLike_co, + c: _SeriesLikeFloat_co, + ) -> np.floating: ... + @overload + def __call__( + self, + /, + x: _NumberLike_co, + y: _NumberLike_co, + z: _NumberLike_co, + c: _SeriesLikeComplex_co, + ) -> np.complexfloating: ... + @overload + def __call__( + self, + /, + x: _ArrayLikeFloat_co, + y: _ArrayLikeFloat_co, + z: _ArrayLikeFloat_co, + c: _ArrayLikeFloat_co, + ) -> _FloatArray: ... + @overload + def __call__( + self, + /, + x: _ArrayLikeComplex_co, + y: _ArrayLikeComplex_co, + z: _ArrayLikeComplex_co, + c: _ArrayLikeComplex_co, + ) -> _ComplexArray: ... + @overload + def __call__( + self, + /, + x: _ArrayLikeCoef_co, + y: _ArrayLikeCoef_co, + z: _ArrayLikeCoef_co, + c: _ArrayLikeCoef_co, + ) -> _ObjectArray: ... + @overload + def __call__( + self, + /, + x: _CoefLike_co, + y: _CoefLike_co, + z: _CoefLike_co, + c: _SeriesLikeCoef_co, + ) -> _SupportsCoefOps[Any]: ... + +@type_check_only +class _FuncVander(Protocol): + @overload + def __call__(self, /, x: _ArrayLikeFloat_co, deg: SupportsIndex) -> _FloatArray: ... + @overload + def __call__(self, /, x: _ArrayLikeComplex_co, deg: SupportsIndex) -> _ComplexArray: ... + @overload + def __call__(self, /, x: _ArrayLikeCoef_co, deg: SupportsIndex) -> _ObjectArray: ... + @overload + def __call__(self, /, x: npt.ArrayLike, deg: SupportsIndex) -> _CoefArray: ... + +_AnyDegrees: TypeAlias = Sequence[SupportsIndex] + +@type_check_only +class _FuncVander2D(Protocol): + @overload + def __call__(self, /, x: _ArrayLikeFloat_co, y: _ArrayLikeFloat_co, deg: _AnyDegrees) -> _FloatArray: ... + @overload + def __call__(self, /, x: _ArrayLikeComplex_co, y: _ArrayLikeComplex_co, deg: _AnyDegrees) -> _ComplexArray: ... + @overload + def __call__(self, /, x: _ArrayLikeCoef_co, y: _ArrayLikeCoef_co, deg: _AnyDegrees) -> _ObjectArray: ... + @overload + def __call__(self, /, x: npt.ArrayLike, y: npt.ArrayLike, deg: _AnyDegrees) -> _CoefArray: ... + +@type_check_only +class _FuncVander3D(Protocol): + @overload + def __call__( + self, + /, + x: _ArrayLikeFloat_co, + y: _ArrayLikeFloat_co, + z: _ArrayLikeFloat_co, + deg: _AnyDegrees, + ) -> _FloatArray: ... + @overload + def __call__( + self, + /, + x: _ArrayLikeComplex_co, + y: _ArrayLikeComplex_co, + z: _ArrayLikeComplex_co, + deg: _AnyDegrees, + ) -> _ComplexArray: ... + @overload + def __call__( + self, + /, + x: _ArrayLikeCoef_co, + y: _ArrayLikeCoef_co, + z: _ArrayLikeCoef_co, + deg: _AnyDegrees, + ) -> _ObjectArray: ... + @overload + def __call__( + self, + /, + x: npt.ArrayLike, + y: npt.ArrayLike, + z: npt.ArrayLike, + deg: _AnyDegrees, + ) -> _CoefArray: ... + +_FullFitResult: TypeAlias = Sequence[np.inexact | np.int32] + +@type_check_only +class _FuncFit(Protocol): + @overload + def __call__( + self, + /, + x: _SeriesLikeFloat_co, + y: _ArrayLikeFloat_co, + deg: int | _SeriesLikeInt_co, + rcond: float | None = ..., + full: Literal[False] = False, + w: _SeriesLikeFloat_co | None = ..., + ) -> _FloatArray: ... + @overload + def __call__( + self, + x: _SeriesLikeFloat_co, + y: _ArrayLikeFloat_co, + deg: int | _SeriesLikeInt_co, + rcond: float | None, + full: Literal[True], + /, + w: _SeriesLikeFloat_co | None = ..., + ) -> tuple[_FloatArray, _FullFitResult]: ... + @overload + def __call__( + self, + /, + x: _SeriesLikeFloat_co, + y: _ArrayLikeFloat_co, + deg: int | _SeriesLikeInt_co, + rcond: float | None = ..., + *, + full: Literal[True], + w: _SeriesLikeFloat_co | None = ..., + ) -> tuple[_FloatArray, _FullFitResult]: ... + @overload + def __call__( + self, + /, + x: _SeriesLikeComplex_co, + y: _ArrayLikeComplex_co, + deg: int | _SeriesLikeInt_co, + rcond: float | None = ..., + full: Literal[False] = False, + w: _SeriesLikeFloat_co | None = ..., + ) -> _ComplexArray: ... + @overload + def __call__( + self, + x: _SeriesLikeComplex_co, + y: _ArrayLikeComplex_co, + deg: int | _SeriesLikeInt_co, + rcond: float | None, + full: Literal[True], + /, + w: _SeriesLikeFloat_co | None = ..., + ) -> tuple[_ComplexArray, _FullFitResult]: ... + @overload + def __call__( + self, + /, + x: _SeriesLikeComplex_co, + y: _ArrayLikeComplex_co, + deg: int | _SeriesLikeInt_co, + rcond: float | None = ..., + *, + full: Literal[True], + w: _SeriesLikeFloat_co | None = ..., + ) -> tuple[_ComplexArray, _FullFitResult]: ... + @overload + def __call__( + self, + /, + x: _SeriesLikeComplex_co, + y: _ArrayLikeCoef_co, + deg: int | _SeriesLikeInt_co, + rcond: float | None = ..., + full: Literal[False] = False, + w: _SeriesLikeFloat_co | None = ..., + ) -> _ObjectArray: ... + @overload + def __call__( + self, + x: _SeriesLikeComplex_co, + y: _ArrayLikeCoef_co, + deg: int | _SeriesLikeInt_co, + rcond: float | None, + full: Literal[True], + /, + w: _SeriesLikeFloat_co | None = ..., + ) -> tuple[_ObjectArray, _FullFitResult]: ... + @overload + def __call__( + self, + /, + x: _SeriesLikeComplex_co, + y: _ArrayLikeCoef_co, + deg: int | _SeriesLikeInt_co, + rcond: float | None = ..., + *, + full: Literal[True], + w: _SeriesLikeFloat_co | None = ..., + ) -> tuple[_ObjectArray, _FullFitResult]: ... + +@type_check_only +class _FuncRoots(Protocol): + @overload + def __call__(self, /, c: _SeriesLikeFloat_co) -> _Series[np.float64]: ... + @overload + def __call__(self, /, c: _SeriesLikeComplex_co) -> _Series[np.complex128]: ... + @overload + def __call__(self, /, c: _SeriesLikeCoef_co) -> _ObjectSeries: ... + +_Companion: TypeAlias = np.ndarray[tuple[int, int], np.dtype[_ScalarT]] + +@type_check_only +class _FuncCompanion(Protocol): + @overload + def __call__(self, /, c: _SeriesLikeFloat_co) -> _Companion[np.float64]: ... + @overload + def __call__(self, /, c: _SeriesLikeComplex_co) -> _Companion[np.complex128]: ... + @overload + def __call__(self, /, c: _SeriesLikeCoef_co) -> _Companion[np.object_]: ... + +@type_check_only +class _FuncGauss(Protocol): + def __call__(self, /, deg: SupportsIndex) -> _Tuple2[_Series[np.float64]]: ... + +@type_check_only +class _FuncWeight(Protocol): + @overload + def __call__(self, /, x: _ArrayLikeFloat_co) -> npt.NDArray[np.float64]: ... + @overload + def __call__(self, /, x: _ArrayLikeComplex_co) -> npt.NDArray[np.complex128]: ... + @overload + def __call__(self, /, x: _ArrayLikeCoef_co) -> _ObjectArray: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/chebyshev.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/chebyshev.py new file mode 100644 index 0000000000000000000000000000000000000000..55b48b9058484a82910da2aaf4e7207bec36769c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/chebyshev.py @@ -0,0 +1,2001 @@ +""" +==================================================== +Chebyshev Series (:mod:`numpy.polynomial.chebyshev`) +==================================================== + +This module provides a number of objects (mostly functions) useful for +dealing with Chebyshev series, including a `Chebyshev` class that +encapsulates the usual arithmetic operations. (General information +on how this module represents and works with such polynomials is in the +docstring for its "parent" sub-package, `numpy.polynomial`). + +Classes +------- + +.. autosummary:: + :toctree: generated/ + + Chebyshev + + +Constants +--------- + +.. autosummary:: + :toctree: generated/ + + chebdomain + chebzero + chebone + chebx + +Arithmetic +---------- + +.. autosummary:: + :toctree: generated/ + + chebadd + chebsub + chebmulx + chebmul + chebdiv + chebpow + chebval + chebval2d + chebval3d + chebgrid2d + chebgrid3d + +Calculus +-------- + +.. autosummary:: + :toctree: generated/ + + chebder + chebint + +Misc Functions +-------------- + +.. autosummary:: + :toctree: generated/ + + chebfromroots + chebroots + chebvander + chebvander2d + chebvander3d + chebgauss + chebweight + chebcompanion + chebfit + chebpts1 + chebpts2 + chebtrim + chebline + cheb2poly + poly2cheb + chebinterpolate + +See also +-------- +`numpy.polynomial` + +Notes +----- +The implementations of multiplication, division, integration, and +differentiation use the algebraic identities [1]_: + +.. math:: + T_n(x) = \\frac{z^n + z^{-n}}{2} \\\\ + z\\frac{dx}{dz} = \\frac{z - z^{-1}}{2}. + +where + +.. math:: x = \\frac{z + z^{-1}}{2}. + +These identities allow a Chebyshev series to be expressed as a finite, +symmetric Laurent series. In this module, this sort of Laurent series +is referred to as a "z-series." + +References +---------- +.. [1] A. T. Benjamin, et al., "Combinatorial Trigonometry with Chebyshev + Polynomials," *Journal of Statistical Planning and Inference 14*, 2008 + (https://web.archive.org/web/20080221202153/https://www.math.hmc.edu/~benjamin/papers/CombTrig.pdf, pg. 4) + +""" # noqa: E501 +import numpy as np + +from . import polyutils as pu +from ._polybase import ABCPolyBase + +__all__ = [ + 'chebzero', 'chebone', 'chebx', 'chebdomain', 'chebline', 'chebadd', + 'chebsub', 'chebmulx', 'chebmul', 'chebdiv', 'chebpow', 'chebval', + 'chebder', 'chebint', 'cheb2poly', 'poly2cheb', 'chebfromroots', + 'chebvander', 'chebfit', 'chebtrim', 'chebroots', 'chebpts1', + 'chebpts2', 'Chebyshev', 'chebval2d', 'chebval3d', 'chebgrid2d', + 'chebgrid3d', 'chebvander2d', 'chebvander3d', 'chebcompanion', + 'chebgauss', 'chebweight', 'chebinterpolate'] + +chebtrim = pu.trimcoef + +# +# A collection of functions for manipulating z-series. These are private +# functions and do minimal error checking. +# + +def _cseries_to_zseries(c): + """Convert Chebyshev series to z-series. + + Convert a Chebyshev series to the equivalent z-series. The result is + never an empty array. The dtype of the return is the same as that of + the input. No checks are run on the arguments as this routine is for + internal use. + + Parameters + ---------- + c : 1-D ndarray + Chebyshev coefficients, ordered from low to high + + Returns + ------- + zs : 1-D ndarray + Odd length symmetric z-series, ordered from low to high. + + """ + n = c.size + zs = np.zeros(2 * n - 1, dtype=c.dtype) + zs[n - 1:] = c / 2 + return zs + zs[::-1] + + +def _zseries_to_cseries(zs): + """Convert z-series to a Chebyshev series. + + Convert a z series to the equivalent Chebyshev series. The result is + never an empty array. The dtype of the return is the same as that of + the input. No checks are run on the arguments as this routine is for + internal use. + + Parameters + ---------- + zs : 1-D ndarray + Odd length symmetric z-series, ordered from low to high. + + Returns + ------- + c : 1-D ndarray + Chebyshev coefficients, ordered from low to high. + + """ + n = (zs.size + 1) // 2 + c = zs[n - 1:].copy() + c[1:n] *= 2 + return c + + +def _zseries_mul(z1, z2): + """Multiply two z-series. + + Multiply two z-series to produce a z-series. + + Parameters + ---------- + z1, z2 : 1-D ndarray + The arrays must be 1-D but this is not checked. + + Returns + ------- + product : 1-D ndarray + The product z-series. + + Notes + ----- + This is simply convolution. If symmetric/anti-symmetric z-series are + denoted by S/A then the following rules apply: + + S*S, A*A -> S + S*A, A*S -> A + + """ + return np.convolve(z1, z2) + + +def _zseries_div(z1, z2): + """Divide the first z-series by the second. + + Divide `z1` by `z2` and return the quotient and remainder as z-series. + Warning: this implementation only applies when both z1 and z2 have the + same symmetry, which is sufficient for present purposes. + + Parameters + ---------- + z1, z2 : 1-D ndarray + The arrays must be 1-D and have the same symmetry, but this is not + checked. + + Returns + ------- + + (quotient, remainder) : 1-D ndarrays + Quotient and remainder as z-series. + + Notes + ----- + This is not the same as polynomial division on account of the desired form + of the remainder. If symmetric/anti-symmetric z-series are denoted by S/A + then the following rules apply: + + S/S -> S,S + A/A -> S,A + + The restriction to types of the same symmetry could be fixed but seems like + unneeded generality. There is no natural form for the remainder in the case + where there is no symmetry. + + """ + z1 = z1.copy() + z2 = z2.copy() + lc1 = len(z1) + lc2 = len(z2) + if lc2 == 1: + z1 /= z2 + return z1, z1[:1] * 0 + elif lc1 < lc2: + return z1[:1] * 0, z1 + else: + dlen = lc1 - lc2 + scl = z2[0] + z2 /= scl + quo = np.empty(dlen + 1, dtype=z1.dtype) + i = 0 + j = dlen + while i < j: + r = z1[i] + quo[i] = z1[i] + quo[dlen - i] = r + tmp = r * z2 + z1[i:i + lc2] -= tmp + z1[j:j + lc2] -= tmp + i += 1 + j -= 1 + r = z1[i] + quo[i] = r + tmp = r * z2 + z1[i:i + lc2] -= tmp + quo /= scl + rem = z1[i + 1:i - 1 + lc2].copy() + return quo, rem + + +def _zseries_der(zs): + """Differentiate a z-series. + + The derivative is with respect to x, not z. This is achieved using the + chain rule and the value of dx/dz given in the module notes. + + Parameters + ---------- + zs : z-series + The z-series to differentiate. + + Returns + ------- + derivative : z-series + The derivative + + Notes + ----- + The zseries for x (ns) has been multiplied by two in order to avoid + using floats that are incompatible with Decimal and likely other + specialized scalar types. This scaling has been compensated by + multiplying the value of zs by two also so that the two cancels in the + division. + + """ + n = len(zs) // 2 + ns = np.array([-1, 0, 1], dtype=zs.dtype) + zs *= np.arange(-n, n + 1) * 2 + d, r = _zseries_div(zs, ns) + return d + + +def _zseries_int(zs): + """Integrate a z-series. + + The integral is with respect to x, not z. This is achieved by a change + of variable using dx/dz given in the module notes. + + Parameters + ---------- + zs : z-series + The z-series to integrate + + Returns + ------- + integral : z-series + The indefinite integral + + Notes + ----- + The zseries for x (ns) has been multiplied by two in order to avoid + using floats that are incompatible with Decimal and likely other + specialized scalar types. This scaling has been compensated by + dividing the resulting zs by two. + + """ + n = 1 + len(zs) // 2 + ns = np.array([-1, 0, 1], dtype=zs.dtype) + zs = _zseries_mul(zs, ns) + div = np.arange(-n, n + 1) * 2 + zs[:n] /= div[:n] + zs[n + 1:] /= div[n + 1:] + zs[n] = 0 + return zs + +# +# Chebyshev series functions +# + + +def poly2cheb(pol): + """ + Convert a polynomial to a Chebyshev series. + + Convert an array representing the coefficients of a polynomial (relative + to the "standard" basis) ordered from lowest degree to highest, to an + array of the coefficients of the equivalent Chebyshev series, ordered + from lowest to highest degree. + + Parameters + ---------- + pol : array_like + 1-D array containing the polynomial coefficients + + Returns + ------- + c : ndarray + 1-D array containing the coefficients of the equivalent Chebyshev + series. + + See Also + -------- + cheb2poly + + Notes + ----- + The easy way to do conversions between polynomial basis sets + is to use the convert method of a class instance. + + Examples + -------- + >>> from numpy import polynomial as P + >>> p = P.Polynomial(range(4)) + >>> p + Polynomial([0., 1., 2., 3.], domain=[-1., 1.], window=[-1., 1.], symbol='x') + >>> c = p.convert(kind=P.Chebyshev) + >>> c + Chebyshev([1. , 3.25, 1. , 0.75], domain=[-1., 1.], window=[-1., ... + >>> P.chebyshev.poly2cheb(range(4)) + array([1. , 3.25, 1. , 0.75]) + + """ + [pol] = pu.as_series([pol]) + deg = len(pol) - 1 + res = 0 + for i in range(deg, -1, -1): + res = chebadd(chebmulx(res), pol[i]) + return res + + +def cheb2poly(c): + """ + Convert a Chebyshev series to a polynomial. + + Convert an array representing the coefficients of a Chebyshev series, + ordered from lowest degree to highest, to an array of the coefficients + of the equivalent polynomial (relative to the "standard" basis) ordered + from lowest to highest degree. + + Parameters + ---------- + c : array_like + 1-D array containing the Chebyshev series coefficients, ordered + from lowest order term to highest. + + Returns + ------- + pol : ndarray + 1-D array containing the coefficients of the equivalent polynomial + (relative to the "standard" basis) ordered from lowest order term + to highest. + + See Also + -------- + poly2cheb + + Notes + ----- + The easy way to do conversions between polynomial basis sets + is to use the convert method of a class instance. + + Examples + -------- + >>> from numpy import polynomial as P + >>> c = P.Chebyshev(range(4)) + >>> c + Chebyshev([0., 1., 2., 3.], domain=[-1., 1.], window=[-1., 1.], symbol='x') + >>> p = c.convert(kind=P.Polynomial) + >>> p + Polynomial([-2., -8., 4., 12.], domain=[-1., 1.], window=[-1., 1.], ... + >>> P.chebyshev.cheb2poly(range(4)) + array([-2., -8., 4., 12.]) + + """ + from .polynomial import polyadd, polymulx, polysub + + [c] = pu.as_series([c]) + n = len(c) + if n < 3: + return c + else: + c0 = c[-2] + c1 = c[-1] + # i is the current degree of c1 + for i in range(n - 1, 1, -1): + tmp = c0 + c0 = polysub(c[i - 2], c1) + c1 = polyadd(tmp, polymulx(c1) * 2) + return polyadd(c0, polymulx(c1)) + + +# +# These are constant arrays are of integer type so as to be compatible +# with the widest range of other types, such as Decimal. +# + +# Chebyshev default domain. +chebdomain = np.array([-1., 1.]) + +# Chebyshev coefficients representing zero. +chebzero = np.array([0]) + +# Chebyshev coefficients representing one. +chebone = np.array([1]) + +# Chebyshev coefficients representing the identity x. +chebx = np.array([0, 1]) + + +def chebline(off, scl): + """ + Chebyshev series whose graph is a straight line. + + Parameters + ---------- + off, scl : scalars + The specified line is given by ``off + scl*x``. + + Returns + ------- + y : ndarray + This module's representation of the Chebyshev series for + ``off + scl*x``. + + See Also + -------- + numpy.polynomial.polynomial.polyline + numpy.polynomial.legendre.legline + numpy.polynomial.laguerre.lagline + numpy.polynomial.hermite.hermline + numpy.polynomial.hermite_e.hermeline + + Examples + -------- + >>> import numpy.polynomial.chebyshev as C + >>> C.chebline(3,2) + array([3, 2]) + >>> C.chebval(-3, C.chebline(3,2)) # should be -3 + -3.0 + + """ + if scl != 0: + return np.array([off, scl]) + else: + return np.array([off]) + + +def chebfromroots(roots): + """ + Generate a Chebyshev series with given roots. + + The function returns the coefficients of the polynomial + + .. math:: p(x) = (x - r_0) * (x - r_1) * ... * (x - r_n), + + in Chebyshev form, where the :math:`r_n` are the roots specified in + `roots`. If a zero has multiplicity n, then it must appear in `roots` + n times. For instance, if 2 is a root of multiplicity three and 3 is a + root of multiplicity 2, then `roots` looks something like [2, 2, 2, 3, 3]. + The roots can appear in any order. + + If the returned coefficients are `c`, then + + .. math:: p(x) = c_0 + c_1 * T_1(x) + ... + c_n * T_n(x) + + The coefficient of the last term is not generally 1 for monic + polynomials in Chebyshev form. + + Parameters + ---------- + roots : array_like + Sequence containing the roots. + + Returns + ------- + out : ndarray + 1-D array of coefficients. If all roots are real then `out` is a + real array, if some of the roots are complex, then `out` is complex + even if all the coefficients in the result are real (see Examples + below). + + See Also + -------- + numpy.polynomial.polynomial.polyfromroots + numpy.polynomial.legendre.legfromroots + numpy.polynomial.laguerre.lagfromroots + numpy.polynomial.hermite.hermfromroots + numpy.polynomial.hermite_e.hermefromroots + + Examples + -------- + >>> import numpy.polynomial.chebyshev as C + >>> C.chebfromroots((-1,0,1)) # x^3 - x relative to the standard basis + array([ 0. , -0.25, 0. , 0.25]) + >>> j = complex(0,1) + >>> C.chebfromroots((-j,j)) # x^2 + 1 relative to the standard basis + array([1.5+0.j, 0. +0.j, 0.5+0.j]) + + """ + return pu._fromroots(chebline, chebmul, roots) + + +def chebadd(c1, c2): + """ + Add one Chebyshev series to another. + + Returns the sum of two Chebyshev series `c1` + `c2`. The arguments + are sequences of coefficients ordered from lowest order term to + highest, i.e., [1,2,3] represents the series ``T_0 + 2*T_1 + 3*T_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Chebyshev series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Array representing the Chebyshev series of their sum. + + See Also + -------- + chebsub, chebmulx, chebmul, chebdiv, chebpow + + Notes + ----- + Unlike multiplication, division, etc., the sum of two Chebyshev series + is a Chebyshev series (without having to "reproject" the result onto + the basis set) so addition, just like that of "standard" polynomials, + is simply "component-wise." + + Examples + -------- + >>> from numpy.polynomial import chebyshev as C + >>> c1 = (1,2,3) + >>> c2 = (3,2,1) + >>> C.chebadd(c1,c2) + array([4., 4., 4.]) + + """ + return pu._add(c1, c2) + + +def chebsub(c1, c2): + """ + Subtract one Chebyshev series from another. + + Returns the difference of two Chebyshev series `c1` - `c2`. The + sequences of coefficients are from lowest order term to highest, i.e., + [1,2,3] represents the series ``T_0 + 2*T_1 + 3*T_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Chebyshev series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Of Chebyshev series coefficients representing their difference. + + See Also + -------- + chebadd, chebmulx, chebmul, chebdiv, chebpow + + Notes + ----- + Unlike multiplication, division, etc., the difference of two Chebyshev + series is a Chebyshev series (without having to "reproject" the result + onto the basis set) so subtraction, just like that of "standard" + polynomials, is simply "component-wise." + + Examples + -------- + >>> from numpy.polynomial import chebyshev as C + >>> c1 = (1,2,3) + >>> c2 = (3,2,1) + >>> C.chebsub(c1,c2) + array([-2., 0., 2.]) + >>> C.chebsub(c2,c1) # -C.chebsub(c1,c2) + array([ 2., 0., -2.]) + + """ + return pu._sub(c1, c2) + + +def chebmulx(c): + """Multiply a Chebyshev series by x. + + Multiply the polynomial `c` by x, where x is the independent + variable. + + + Parameters + ---------- + c : array_like + 1-D array of Chebyshev series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Array representing the result of the multiplication. + + See Also + -------- + chebadd, chebsub, chebmul, chebdiv, chebpow + + Examples + -------- + >>> from numpy.polynomial import chebyshev as C + >>> C.chebmulx([1,2,3]) + array([1. , 2.5, 1. , 1.5]) + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + # The zero series needs special treatment + if len(c) == 1 and c[0] == 0: + return c + + prd = np.empty(len(c) + 1, dtype=c.dtype) + prd[0] = c[0] * 0 + prd[1] = c[0] + if len(c) > 1: + tmp = c[1:] / 2 + prd[2:] = tmp + prd[0:-2] += tmp + return prd + + +def chebmul(c1, c2): + """ + Multiply one Chebyshev series by another. + + Returns the product of two Chebyshev series `c1` * `c2`. The arguments + are sequences of coefficients, from lowest order "term" to highest, + e.g., [1,2,3] represents the series ``T_0 + 2*T_1 + 3*T_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Chebyshev series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Of Chebyshev series coefficients representing their product. + + See Also + -------- + chebadd, chebsub, chebmulx, chebdiv, chebpow + + Notes + ----- + In general, the (polynomial) product of two C-series results in terms + that are not in the Chebyshev polynomial basis set. Thus, to express + the product as a C-series, it is typically necessary to "reproject" + the product onto said basis set, which typically produces + "unintuitive live" (but correct) results; see Examples section below. + + Examples + -------- + >>> from numpy.polynomial import chebyshev as C + >>> c1 = (1,2,3) + >>> c2 = (3,2,1) + >>> C.chebmul(c1,c2) # multiplication requires "reprojection" + array([ 6.5, 12. , 12. , 4. , 1.5]) + + """ + # c1, c2 are trimmed copies + [c1, c2] = pu.as_series([c1, c2]) + z1 = _cseries_to_zseries(c1) + z2 = _cseries_to_zseries(c2) + prd = _zseries_mul(z1, z2) + ret = _zseries_to_cseries(prd) + return pu.trimseq(ret) + + +def chebdiv(c1, c2): + """ + Divide one Chebyshev series by another. + + Returns the quotient-with-remainder of two Chebyshev series + `c1` / `c2`. The arguments are sequences of coefficients from lowest + order "term" to highest, e.g., [1,2,3] represents the series + ``T_0 + 2*T_1 + 3*T_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Chebyshev series coefficients ordered from low to + high. + + Returns + ------- + [quo, rem] : ndarrays + Of Chebyshev series coefficients representing the quotient and + remainder. + + See Also + -------- + chebadd, chebsub, chebmulx, chebmul, chebpow + + Notes + ----- + In general, the (polynomial) division of one C-series by another + results in quotient and remainder terms that are not in the Chebyshev + polynomial basis set. Thus, to express these results as C-series, it + is typically necessary to "reproject" the results onto said basis + set, which typically produces "unintuitive" (but correct) results; + see Examples section below. + + Examples + -------- + >>> from numpy.polynomial import chebyshev as C + >>> c1 = (1,2,3) + >>> c2 = (3,2,1) + >>> C.chebdiv(c1,c2) # quotient "intuitive," remainder not + (array([3.]), array([-8., -4.])) + >>> c2 = (0,1,2,3) + >>> C.chebdiv(c2,c1) # neither "intuitive" + (array([0., 2.]), array([-2., -4.])) + + """ + # c1, c2 are trimmed copies + [c1, c2] = pu.as_series([c1, c2]) + if c2[-1] == 0: + raise ZeroDivisionError # FIXME: add message with details to exception + + # note: this is more efficient than `pu._div(chebmul, c1, c2)` + lc1 = len(c1) + lc2 = len(c2) + if lc1 < lc2: + return c1[:1] * 0, c1 + elif lc2 == 1: + return c1 / c2[-1], c1[:1] * 0 + else: + z1 = _cseries_to_zseries(c1) + z2 = _cseries_to_zseries(c2) + quo, rem = _zseries_div(z1, z2) + quo = pu.trimseq(_zseries_to_cseries(quo)) + rem = pu.trimseq(_zseries_to_cseries(rem)) + return quo, rem + + +def chebpow(c, pow, maxpower=16): + """Raise a Chebyshev series to a power. + + Returns the Chebyshev series `c` raised to the power `pow`. The + argument `c` is a sequence of coefficients ordered from low to high. + i.e., [1,2,3] is the series ``T_0 + 2*T_1 + 3*T_2.`` + + Parameters + ---------- + c : array_like + 1-D array of Chebyshev series coefficients ordered from low to + high. + pow : integer + Power to which the series will be raised + maxpower : integer, optional + Maximum power allowed. This is mainly to limit growth of the series + to unmanageable size. Default is 16 + + Returns + ------- + coef : ndarray + Chebyshev series of power. + + See Also + -------- + chebadd, chebsub, chebmulx, chebmul, chebdiv + + Examples + -------- + >>> from numpy.polynomial import chebyshev as C + >>> C.chebpow([1, 2, 3, 4], 2) + array([15.5, 22. , 16. , ..., 12.5, 12. , 8. ]) + + """ + # note: this is more efficient than `pu._pow(chebmul, c1, c2)`, as it + # avoids converting between z and c series repeatedly + + # c is a trimmed copy + [c] = pu.as_series([c]) + power = int(pow) + if power != pow or power < 0: + raise ValueError("Power must be a non-negative integer.") + elif maxpower is not None and power > maxpower: + raise ValueError("Power is too large") + elif power == 0: + return np.array([1], dtype=c.dtype) + elif power == 1: + return c + else: + # This can be made more efficient by using powers of two + # in the usual way. + zs = _cseries_to_zseries(c) + prd = zs + for i in range(2, power + 1): + prd = np.convolve(prd, zs) + return _zseries_to_cseries(prd) + + +def chebder(c, m=1, scl=1, axis=0): + """ + Differentiate a Chebyshev series. + + Returns the Chebyshev series coefficients `c` differentiated `m` times + along `axis`. At each iteration the result is multiplied by `scl` (the + scaling factor is for use in a linear change of variable). The argument + `c` is an array of coefficients from low to high degree along each + axis, e.g., [1,2,3] represents the series ``1*T_0 + 2*T_1 + 3*T_2`` + while [[1,2],[1,2]] represents ``1*T_0(x)*T_0(y) + 1*T_1(x)*T_0(y) + + 2*T_0(x)*T_1(y) + 2*T_1(x)*T_1(y)`` if axis=0 is ``x`` and axis=1 is + ``y``. + + Parameters + ---------- + c : array_like + Array of Chebyshev series coefficients. If c is multidimensional + the different axis correspond to different variables with the + degree in each axis given by the corresponding index. + m : int, optional + Number of derivatives taken, must be non-negative. (Default: 1) + scl : scalar, optional + Each differentiation is multiplied by `scl`. The end result is + multiplication by ``scl**m``. This is for use in a linear change of + variable. (Default: 1) + axis : int, optional + Axis over which the derivative is taken. (Default: 0). + + Returns + ------- + der : ndarray + Chebyshev series of the derivative. + + See Also + -------- + chebint + + Notes + ----- + In general, the result of differentiating a C-series needs to be + "reprojected" onto the C-series basis set. Thus, typically, the + result of this function is "unintuitive," albeit correct; see Examples + section below. + + Examples + -------- + >>> from numpy.polynomial import chebyshev as C + >>> c = (1,2,3,4) + >>> C.chebder(c) + array([14., 12., 24.]) + >>> C.chebder(c,3) + array([96.]) + >>> C.chebder(c,scl=-1) + array([-14., -12., -24.]) + >>> C.chebder(c,2,-1) + array([12., 96.]) + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + cnt = pu._as_int(m, "the order of derivation") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of derivation must be non-negative") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + c = np.moveaxis(c, iaxis, 0) + n = len(c) + if cnt >= n: + c = c[:1] * 0 + else: + for i in range(cnt): + n = n - 1 + c *= scl + der = np.empty((n,) + c.shape[1:], dtype=c.dtype) + for j in range(n, 2, -1): + der[j - 1] = (2 * j) * c[j] + c[j - 2] += (j * c[j]) / (j - 2) + if n > 1: + der[1] = 4 * c[2] + der[0] = c[1] + c = der + c = np.moveaxis(c, 0, iaxis) + return c + + +def chebint(c, m=1, k=[], lbnd=0, scl=1, axis=0): + """ + Integrate a Chebyshev series. + + Returns the Chebyshev series coefficients `c` integrated `m` times from + `lbnd` along `axis`. At each iteration the resulting series is + **multiplied** by `scl` and an integration constant, `k`, is added. + The scaling factor is for use in a linear change of variable. ("Buyer + beware": note that, depending on what one is doing, one may want `scl` + to be the reciprocal of what one might expect; for more information, + see the Notes section below.) The argument `c` is an array of + coefficients from low to high degree along each axis, e.g., [1,2,3] + represents the series ``T_0 + 2*T_1 + 3*T_2`` while [[1,2],[1,2]] + represents ``1*T_0(x)*T_0(y) + 1*T_1(x)*T_0(y) + 2*T_0(x)*T_1(y) + + 2*T_1(x)*T_1(y)`` if axis=0 is ``x`` and axis=1 is ``y``. + + Parameters + ---------- + c : array_like + Array of Chebyshev series coefficients. If c is multidimensional + the different axis correspond to different variables with the + degree in each axis given by the corresponding index. + m : int, optional + Order of integration, must be positive. (Default: 1) + k : {[], list, scalar}, optional + Integration constant(s). The value of the first integral at zero + is the first value in the list, the value of the second integral + at zero is the second value, etc. If ``k == []`` (the default), + all constants are set to zero. If ``m == 1``, a single scalar can + be given instead of a list. + lbnd : scalar, optional + The lower bound of the integral. (Default: 0) + scl : scalar, optional + Following each integration the result is *multiplied* by `scl` + before the integration constant is added. (Default: 1) + axis : int, optional + Axis over which the integral is taken. (Default: 0). + + Returns + ------- + S : ndarray + C-series coefficients of the integral. + + Raises + ------ + ValueError + If ``m < 1``, ``len(k) > m``, ``np.ndim(lbnd) != 0``, or + ``np.ndim(scl) != 0``. + + See Also + -------- + chebder + + Notes + ----- + Note that the result of each integration is *multiplied* by `scl`. + Why is this important to note? Say one is making a linear change of + variable :math:`u = ax + b` in an integral relative to `x`. Then + :math:`dx = du/a`, so one will need to set `scl` equal to + :math:`1/a`- perhaps not what one would have first thought. + + Also note that, in general, the result of integrating a C-series needs + to be "reprojected" onto the C-series basis set. Thus, typically, + the result of this function is "unintuitive," albeit correct; see + Examples section below. + + Examples + -------- + >>> from numpy.polynomial import chebyshev as C + >>> c = (1,2,3) + >>> C.chebint(c) + array([ 0.5, -0.5, 0.5, 0.5]) + >>> C.chebint(c,3) + array([ 0.03125 , -0.1875 , 0.04166667, -0.05208333, 0.01041667, # may vary + 0.00625 ]) + >>> C.chebint(c, k=3) + array([ 3.5, -0.5, 0.5, 0.5]) + >>> C.chebint(c,lbnd=-2) + array([ 8.5, -0.5, 0.5, 0.5]) + >>> C.chebint(c,scl=-2) + array([-1., 1., -1., -1.]) + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + if not np.iterable(k): + k = [k] + cnt = pu._as_int(m, "the order of integration") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of integration must be non-negative") + if len(k) > cnt: + raise ValueError("Too many integration constants") + if np.ndim(lbnd) != 0: + raise ValueError("lbnd must be a scalar.") + if np.ndim(scl) != 0: + raise ValueError("scl must be a scalar.") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + c = np.moveaxis(c, iaxis, 0) + k = list(k) + [0] * (cnt - len(k)) + for i in range(cnt): + n = len(c) + c *= scl + if n == 1 and np.all(c[0] == 0): + c[0] += k[i] + else: + tmp = np.empty((n + 1,) + c.shape[1:], dtype=c.dtype) + tmp[0] = c[0] * 0 + tmp[1] = c[0] + if n > 1: + tmp[2] = c[1] / 4 + for j in range(2, n): + tmp[j + 1] = c[j] / (2 * (j + 1)) + tmp[j - 1] -= c[j] / (2 * (j - 1)) + tmp[0] += k[i] - chebval(lbnd, tmp) + c = tmp + c = np.moveaxis(c, 0, iaxis) + return c + + +def chebval(x, c, tensor=True): + """ + Evaluate a Chebyshev series at points x. + + If `c` is of length `n + 1`, this function returns the value: + + .. math:: p(x) = c_0 * T_0(x) + c_1 * T_1(x) + ... + c_n * T_n(x) + + The parameter `x` is converted to an array only if it is a tuple or a + list, otherwise it is treated as a scalar. In either case, either `x` + or its elements must support multiplication and addition both with + themselves and with the elements of `c`. + + If `c` is a 1-D array, then ``p(x)`` will have the same shape as `x`. If + `c` is multidimensional, then the shape of the result depends on the + value of `tensor`. If `tensor` is true the shape will be c.shape[1:] + + x.shape. If `tensor` is false the shape will be c.shape[1:]. Note that + scalars have shape (,). + + Trailing zeros in the coefficients will be used in the evaluation, so + they should be avoided if efficiency is a concern. + + Parameters + ---------- + x : array_like, compatible object + If `x` is a list or tuple, it is converted to an ndarray, otherwise + it is left unchanged and treated as a scalar. In either case, `x` + or its elements must support addition and multiplication with + themselves and with the elements of `c`. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree n are contained in c[n]. If `c` is multidimensional the + remaining indices enumerate multiple polynomials. In the two + dimensional case the coefficients may be thought of as stored in + the columns of `c`. + tensor : boolean, optional + If True, the shape of the coefficient array is extended with ones + on the right, one for each dimension of `x`. Scalars have dimension 0 + for this action. The result is that every column of coefficients in + `c` is evaluated for every element of `x`. If False, `x` is broadcast + over the columns of `c` for the evaluation. This keyword is useful + when `c` is multidimensional. The default value is True. + + Returns + ------- + values : ndarray, algebra_like + The shape of the return value is described above. + + See Also + -------- + chebval2d, chebgrid2d, chebval3d, chebgrid3d + + Notes + ----- + The evaluation uses Clenshaw recursion, aka synthetic division. + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + if isinstance(x, (tuple, list)): + x = np.asarray(x) + if isinstance(x, np.ndarray) and tensor: + c = c.reshape(c.shape + (1,) * x.ndim) + + if len(c) == 1: + c0 = c[0] + c1 = 0 + elif len(c) == 2: + c0 = c[0] + c1 = c[1] + else: + x2 = 2 * x + c0 = c[-2] + c1 = c[-1] + for i in range(3, len(c) + 1): + tmp = c0 + c0 = c[-i] - c1 + c1 = tmp + c1 * x2 + return c0 + c1 * x + + +def chebval2d(x, y, c): + """ + Evaluate a 2-D Chebyshev series at points (x, y). + + This function returns the values: + + .. math:: p(x,y) = \\sum_{i,j} c_{i,j} * T_i(x) * T_j(y) + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars and they + must have the same shape after conversion. In either case, either `x` + and `y` or their elements must support multiplication and addition both + with themselves and with the elements of `c`. + + If `c` is a 1-D array a one is implicitly appended to its shape to make + it 2-D. The shape of the result will be c.shape[2:] + x.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points ``(x, y)``, + where `x` and `y` must have the same shape. If `x` or `y` is a list + or tuple, it is first converted to an ndarray, otherwise it is left + unchanged and if it isn't an ndarray it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term + of multi-degree i,j is contained in ``c[i,j]``. If `c` has + dimension greater than 2 the remaining indices enumerate multiple + sets of coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional Chebyshev series at points formed + from pairs of corresponding values from `x` and `y`. + + See Also + -------- + chebval, chebgrid2d, chebval3d, chebgrid3d + """ + return pu._valnd(chebval, c, x, y) + + +def chebgrid2d(x, y, c): + """ + Evaluate a 2-D Chebyshev series on the Cartesian product of x and y. + + This function returns the values: + + .. math:: p(a,b) = \\sum_{i,j} c_{i,j} * T_i(a) * T_j(b), + + where the points `(a, b)` consist of all pairs formed by taking + `a` from `x` and `b` from `y`. The resulting points form a grid with + `x` in the first dimension and `y` in the second. + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars. In either + case, either `x` and `y` or their elements must support multiplication + and addition both with themselves and with the elements of `c`. + + If `c` has fewer than two dimensions, ones are implicitly appended to + its shape to make it 2-D. The shape of the result will be c.shape[2:] + + x.shape + y.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points in the + Cartesian product of `x` and `y`. If `x` or `y` is a list or + tuple, it is first converted to an ndarray, otherwise it is left + unchanged and, if it isn't an ndarray, it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term of + multi-degree i,j is contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional Chebyshev series at points in the + Cartesian product of `x` and `y`. + + See Also + -------- + chebval, chebval2d, chebval3d, chebgrid3d + """ + return pu._gridnd(chebval, c, x, y) + + +def chebval3d(x, y, z, c): + """ + Evaluate a 3-D Chebyshev series at points (x, y, z). + + This function returns the values: + + .. math:: p(x,y,z) = \\sum_{i,j,k} c_{i,j,k} * T_i(x) * T_j(y) * T_k(z) + + The parameters `x`, `y`, and `z` are converted to arrays only if + they are tuples or a lists, otherwise they are treated as a scalars and + they must have the same shape after conversion. In either case, either + `x`, `y`, and `z` or their elements must support multiplication and + addition both with themselves and with the elements of `c`. + + If `c` has fewer than 3 dimensions, ones are implicitly appended to its + shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape. + + Parameters + ---------- + x, y, z : array_like, compatible object + The three dimensional series is evaluated at the points + ``(x, y, z)``, where `x`, `y`, and `z` must have the same shape. If + any of `x`, `y`, or `z` is a list or tuple, it is first converted + to an ndarray, otherwise it is left unchanged and if it isn't an + ndarray it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term of + multi-degree i,j,k is contained in ``c[i,j,k]``. If `c` has dimension + greater than 3 the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the multidimensional polynomial on points formed with + triples of corresponding values from `x`, `y`, and `z`. + + See Also + -------- + chebval, chebval2d, chebgrid2d, chebgrid3d + """ + return pu._valnd(chebval, c, x, y, z) + + +def chebgrid3d(x, y, z, c): + """ + Evaluate a 3-D Chebyshev series on the Cartesian product of x, y, and z. + + This function returns the values: + + .. math:: p(a,b,c) = \\sum_{i,j,k} c_{i,j,k} * T_i(a) * T_j(b) * T_k(c) + + where the points ``(a, b, c)`` consist of all triples formed by taking + `a` from `x`, `b` from `y`, and `c` from `z`. The resulting points form + a grid with `x` in the first dimension, `y` in the second, and `z` in + the third. + + The parameters `x`, `y`, and `z` are converted to arrays only if they + are tuples or a lists, otherwise they are treated as a scalars. In + either case, either `x`, `y`, and `z` or their elements must support + multiplication and addition both with themselves and with the elements + of `c`. + + If `c` has fewer than three dimensions, ones are implicitly appended to + its shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape + y.shape + z.shape. + + Parameters + ---------- + x, y, z : array_like, compatible objects + The three dimensional series is evaluated at the points in the + Cartesian product of `x`, `y`, and `z`. If `x`, `y`, or `z` is a + list or tuple, it is first converted to an ndarray, otherwise it is + left unchanged and, if it isn't an ndarray, it is treated as a + scalar. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree i,j are contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points in the Cartesian + product of `x` and `y`. + + See Also + -------- + chebval, chebval2d, chebgrid2d, chebval3d + """ + return pu._gridnd(chebval, c, x, y, z) + + +def chebvander(x, deg): + """Pseudo-Vandermonde matrix of given degree. + + Returns the pseudo-Vandermonde matrix of degree `deg` and sample points + `x`. The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., i] = T_i(x), + + where ``0 <= i <= deg``. The leading indices of `V` index the elements of + `x` and the last index is the degree of the Chebyshev polynomial. + + If `c` is a 1-D array of coefficients of length ``n + 1`` and `V` is the + matrix ``V = chebvander(x, n)``, then ``np.dot(V, c)`` and + ``chebval(x, c)`` are the same up to roundoff. This equivalence is + useful both for least squares fitting and for the evaluation of a large + number of Chebyshev series of the same degree and sample points. + + Parameters + ---------- + x : array_like + Array of points. The dtype is converted to float64 or complex128 + depending on whether any of the elements are complex. If `x` is + scalar it is converted to a 1-D array. + deg : int + Degree of the resulting matrix. + + Returns + ------- + vander : ndarray + The pseudo Vandermonde matrix. The shape of the returned matrix is + ``x.shape + (deg + 1,)``, where The last index is the degree of the + corresponding Chebyshev polynomial. The dtype will be the same as + the converted `x`. + + """ + ideg = pu._as_int(deg, "deg") + if ideg < 0: + raise ValueError("deg must be non-negative") + + x = np.array(x, copy=None, ndmin=1) + 0.0 + dims = (ideg + 1,) + x.shape + dtyp = x.dtype + v = np.empty(dims, dtype=dtyp) + # Use forward recursion to generate the entries. + v[0] = x * 0 + 1 + if ideg > 0: + x2 = 2 * x + v[1] = x + for i in range(2, ideg + 1): + v[i] = v[i - 1] * x2 - v[i - 2] + return np.moveaxis(v, 0, -1) + + +def chebvander2d(x, y, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y)``. The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (deg[1] + 1)*i + j] = T_i(x) * T_j(y), + + where ``0 <= i <= deg[0]`` and ``0 <= j <= deg[1]``. The leading indices of + `V` index the points ``(x, y)`` and the last index encodes the degrees of + the Chebyshev polynomials. + + If ``V = chebvander2d(x, y, [xdeg, ydeg])``, then the columns of `V` + correspond to the elements of a 2-D coefficient array `c` of shape + (xdeg + 1, ydeg + 1) in the order + + .. math:: c_{00}, c_{01}, c_{02} ... , c_{10}, c_{11}, c_{12} ... + + and ``np.dot(V, c.flat)`` and ``chebval2d(x, y, c)`` will be the same + up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 2-D Chebyshev + series of the same degrees and sample points. + + Parameters + ---------- + x, y : array_like + Arrays of point coordinates, all of the same shape. The dtypes + will be converted to either float64 or complex128 depending on + whether any of the elements are complex. Scalars are converted to + 1-D arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg]. + + Returns + ------- + vander2d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg[1]+1)`. The dtype will be the same + as the converted `x` and `y`. + + See Also + -------- + chebvander, chebvander3d, chebval2d, chebval3d + """ + return pu._vander_nd_flat((chebvander, chebvander), (x, y), deg) + + +def chebvander3d(x, y, z, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y, z)``. If `l`, `m`, `n` are the given degrees in `x`, `y`, `z`, + then The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (m+1)(n+1)i + (n+1)j + k] = T_i(x)*T_j(y)*T_k(z), + + where ``0 <= i <= l``, ``0 <= j <= m``, and ``0 <= j <= n``. The leading + indices of `V` index the points ``(x, y, z)`` and the last index encodes + the degrees of the Chebyshev polynomials. + + If ``V = chebvander3d(x, y, z, [xdeg, ydeg, zdeg])``, then the columns + of `V` correspond to the elements of a 3-D coefficient array `c` of + shape (xdeg + 1, ydeg + 1, zdeg + 1) in the order + + .. math:: c_{000}, c_{001}, c_{002},... , c_{010}, c_{011}, c_{012},... + + and ``np.dot(V, c.flat)`` and ``chebval3d(x, y, z, c)`` will be the + same up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 3-D Chebyshev + series of the same degrees and sample points. + + Parameters + ---------- + x, y, z : array_like + Arrays of point coordinates, all of the same shape. The dtypes will + be converted to either float64 or complex128 depending on whether + any of the elements are complex. Scalars are converted to 1-D + arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg, z_deg]. + + Returns + ------- + vander3d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg[1]+1)*(deg[2]+1)`. The dtype will + be the same as the converted `x`, `y`, and `z`. + + See Also + -------- + chebvander, chebvander3d, chebval2d, chebval3d + """ + return pu._vander_nd_flat((chebvander, chebvander, chebvander), (x, y, z), deg) + + +def chebfit(x, y, deg, rcond=None, full=False, w=None): + """ + Least squares fit of Chebyshev series to data. + + Return the coefficients of a Chebyshev series of degree `deg` that is the + least squares fit to the data values `y` given at points `x`. If `y` is + 1-D the returned coefficients will also be 1-D. If `y` is 2-D multiple + fits are done, one for each column of `y`, and the resulting + coefficients are stored in the corresponding columns of a 2-D return. + The fitted polynomial(s) are in the form + + .. math:: p(x) = c_0 + c_1 * T_1(x) + ... + c_n * T_n(x), + + where `n` is `deg`. + + Parameters + ---------- + x : array_like, shape (M,) + x-coordinates of the M sample points ``(x[i], y[i])``. + y : array_like, shape (M,) or (M, K) + y-coordinates of the sample points. Several data sets of sample + points sharing the same x-coordinates can be fitted at once by + passing in a 2D-array that contains one dataset per column. + deg : int or 1-D array_like + Degree(s) of the fitting polynomials. If `deg` is a single integer, + all terms up to and including the `deg`'th term are included in the + fit. For NumPy versions >= 1.11.0 a list of integers specifying the + degrees of the terms to include may be used instead. + rcond : float, optional + Relative condition number of the fit. Singular values smaller than + this relative to the largest singular value will be ignored. The + default value is ``len(x)*eps``, where eps is the relative precision of + the float type, about 2e-16 in most cases. + full : bool, optional + Switch determining nature of return value. When it is False (the + default) just the coefficients are returned, when True diagnostic + information from the singular value decomposition is also returned. + w : array_like, shape (`M`,), optional + Weights. If not None, the weight ``w[i]`` applies to the unsquared + residual ``y[i] - y_hat[i]`` at ``x[i]``. Ideally the weights are + chosen so that the errors of the products ``w[i]*y[i]`` all have the + same variance. When using inverse-variance weighting, use + ``w[i] = 1/sigma(y[i])``. The default value is None. + + Returns + ------- + coef : ndarray, shape (M,) or (M, K) + Chebyshev coefficients ordered from low to high. If `y` was 2-D, + the coefficients for the data in column k of `y` are in column + `k`. + + [residuals, rank, singular_values, rcond] : list + These values are only returned if ``full == True`` + + - residuals -- sum of squared residuals of the least squares fit + - rank -- the numerical rank of the scaled Vandermonde matrix + - singular_values -- singular values of the scaled Vandermonde matrix + - rcond -- value of `rcond`. + + For more details, see `numpy.linalg.lstsq`. + + Warns + ----- + RankWarning + The rank of the coefficient matrix in the least-squares fit is + deficient. The warning is only raised if ``full == False``. The + warnings can be turned off by + + >>> import warnings + >>> warnings.simplefilter('ignore', np.exceptions.RankWarning) + + See Also + -------- + numpy.polynomial.polynomial.polyfit + numpy.polynomial.legendre.legfit + numpy.polynomial.laguerre.lagfit + numpy.polynomial.hermite.hermfit + numpy.polynomial.hermite_e.hermefit + chebval : Evaluates a Chebyshev series. + chebvander : Vandermonde matrix of Chebyshev series. + chebweight : Chebyshev weight function. + numpy.linalg.lstsq : Computes a least-squares fit from the matrix. + scipy.interpolate.UnivariateSpline : Computes spline fits. + + Notes + ----- + The solution is the coefficients of the Chebyshev series `p` that + minimizes the sum of the weighted squared errors + + .. math:: E = \\sum_j w_j^2 * |y_j - p(x_j)|^2, + + where :math:`w_j` are the weights. This problem is solved by setting up + as the (typically) overdetermined matrix equation + + .. math:: V(x) * c = w * y, + + where `V` is the weighted pseudo Vandermonde matrix of `x`, `c` are the + coefficients to be solved for, `w` are the weights, and `y` are the + observed values. This equation is then solved using the singular value + decomposition of `V`. + + If some of the singular values of `V` are so small that they are + neglected, then a `~exceptions.RankWarning` will be issued. This means that + the coefficient values may be poorly determined. Using a lower order fit + will usually get rid of the warning. The `rcond` parameter can also be + set to a value smaller than its default, but the resulting fit may be + spurious and have large contributions from roundoff error. + + Fits using Chebyshev series are usually better conditioned than fits + using power series, but much can depend on the distribution of the + sample points and the smoothness of the data. If the quality of the fit + is inadequate splines may be a good alternative. + + References + ---------- + .. [1] Wikipedia, "Curve fitting", + https://en.wikipedia.org/wiki/Curve_fitting + + Examples + -------- + + """ + return pu._fit(chebvander, x, y, deg, rcond, full, w) + + +def chebcompanion(c): + """Return the scaled companion matrix of c. + + The basis polynomials are scaled so that the companion matrix is + symmetric when `c` is a Chebyshev basis polynomial. This provides + better eigenvalue estimates than the unscaled case and for basis + polynomials the eigenvalues are guaranteed to be real if + `numpy.linalg.eigvalsh` is used to obtain them. + + Parameters + ---------- + c : array_like + 1-D array of Chebyshev series coefficients ordered from low to high + degree. + + Returns + ------- + mat : ndarray + Scaled companion matrix of dimensions (deg, deg). + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) < 2: + raise ValueError('Series must have maximum degree of at least 1.') + if len(c) == 2: + return np.array([[-c[0] / c[1]]]) + + n = len(c) - 1 + mat = np.zeros((n, n), dtype=c.dtype) + scl = np.array([1.] + [np.sqrt(.5)] * (n - 1)) + top = mat.reshape(-1)[1::n + 1] + bot = mat.reshape(-1)[n::n + 1] + top[0] = np.sqrt(.5) + top[1:] = 1 / 2 + bot[...] = top + mat[:, -1] -= (c[:-1] / c[-1]) * (scl / scl[-1]) * .5 + return mat + + +def chebroots(c): + """ + Compute the roots of a Chebyshev series. + + Return the roots (a.k.a. "zeros") of the polynomial + + .. math:: p(x) = \\sum_i c[i] * T_i(x). + + Parameters + ---------- + c : 1-D array_like + 1-D array of coefficients. + + Returns + ------- + out : ndarray + Array of the roots of the series. If all the roots are real, + then `out` is also real, otherwise it is complex. + + See Also + -------- + numpy.polynomial.polynomial.polyroots + numpy.polynomial.legendre.legroots + numpy.polynomial.laguerre.lagroots + numpy.polynomial.hermite.hermroots + numpy.polynomial.hermite_e.hermeroots + + Notes + ----- + The root estimates are obtained as the eigenvalues of the companion + matrix, Roots far from the origin of the complex plane may have large + errors due to the numerical instability of the series for such + values. Roots with multiplicity greater than 1 will also show larger + errors as the value of the series near such points is relatively + insensitive to errors in the roots. Isolated roots near the origin can + be improved by a few iterations of Newton's method. + + The Chebyshev series basis polynomials aren't powers of `x` so the + results of this function may seem unintuitive. + + Examples + -------- + >>> import numpy.polynomial.chebyshev as cheb + >>> cheb.chebroots((-1, 1,-1, 1)) # T3 - T2 + T1 - T0 has real roots + array([ -5.00000000e-01, 2.60860684e-17, 1.00000000e+00]) # may vary + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) < 2: + return np.array([], dtype=c.dtype) + if len(c) == 2: + return np.array([-c[0] / c[1]]) + + # rotated companion matrix reduces error + m = chebcompanion(c)[::-1, ::-1] + r = np.linalg.eigvals(m) + r.sort() + return r + + +def chebinterpolate(func, deg, args=()): + """Interpolate a function at the Chebyshev points of the first kind. + + Returns the Chebyshev series that interpolates `func` at the Chebyshev + points of the first kind in the interval [-1, 1]. The interpolating + series tends to a minmax approximation to `func` with increasing `deg` + if the function is continuous in the interval. + + Parameters + ---------- + func : function + The function to be approximated. It must be a function of a single + variable of the form ``f(x, a, b, c...)``, where ``a, b, c...`` are + extra arguments passed in the `args` parameter. + deg : int + Degree of the interpolating polynomial + args : tuple, optional + Extra arguments to be used in the function call. Default is no extra + arguments. + + Returns + ------- + coef : ndarray, shape (deg + 1,) + Chebyshev coefficients of the interpolating series ordered from low to + high. + + Examples + -------- + >>> import numpy.polynomial.chebyshev as C + >>> C.chebinterpolate(lambda x: np.tanh(x) + 0.5, 8) + array([ 5.00000000e-01, 8.11675684e-01, -9.86864911e-17, + -5.42457905e-02, -2.71387850e-16, 4.51658839e-03, + 2.46716228e-17, -3.79694221e-04, -3.26899002e-16]) + + Notes + ----- + The Chebyshev polynomials used in the interpolation are orthogonal when + sampled at the Chebyshev points of the first kind. If it is desired to + constrain some of the coefficients they can simply be set to the desired + value after the interpolation, no new interpolation or fit is needed. This + is especially useful if it is known apriori that some of coefficients are + zero. For instance, if the function is even then the coefficients of the + terms of odd degree in the result can be set to zero. + + """ + deg = np.asarray(deg) + + # check arguments. + if deg.ndim > 0 or deg.dtype.kind not in 'iu' or deg.size == 0: + raise TypeError("deg must be an int") + if deg < 0: + raise ValueError("expected deg >= 0") + + order = deg + 1 + xcheb = chebpts1(order) + yfunc = func(xcheb, *args) + m = chebvander(xcheb, deg) + c = np.dot(m.T, yfunc) + c[0] /= order + c[1:] /= 0.5 * order + + return c + + +def chebgauss(deg): + """ + Gauss-Chebyshev quadrature. + + Computes the sample points and weights for Gauss-Chebyshev quadrature. + These sample points and weights will correctly integrate polynomials of + degree :math:`2*deg - 1` or less over the interval :math:`[-1, 1]` with + the weight function :math:`f(x) = 1/\\sqrt{1 - x^2}`. + + Parameters + ---------- + deg : int + Number of sample points and weights. It must be >= 1. + + Returns + ------- + x : ndarray + 1-D ndarray containing the sample points. + y : ndarray + 1-D ndarray containing the weights. + + Notes + ----- + The results have only been tested up to degree 100, higher degrees may + be problematic. For Gauss-Chebyshev there are closed form solutions for + the sample points and weights. If n = `deg`, then + + .. math:: x_i = \\cos(\\pi (2 i - 1) / (2 n)) + + .. math:: w_i = \\pi / n + + """ + ideg = pu._as_int(deg, "deg") + if ideg <= 0: + raise ValueError("deg must be a positive integer") + + x = np.cos(np.pi * np.arange(1, 2 * ideg, 2) / (2.0 * ideg)) + w = np.ones(ideg) * (np.pi / ideg) + + return x, w + + +def chebweight(x): + """ + The weight function of the Chebyshev polynomials. + + The weight function is :math:`1/\\sqrt{1 - x^2}` and the interval of + integration is :math:`[-1, 1]`. The Chebyshev polynomials are + orthogonal, but not normalized, with respect to this weight function. + + Parameters + ---------- + x : array_like + Values at which the weight function will be computed. + + Returns + ------- + w : ndarray + The weight function at `x`. + """ + w = 1. / (np.sqrt(1. + x) * np.sqrt(1. - x)) + return w + + +def chebpts1(npts): + """ + Chebyshev points of the first kind. + + The Chebyshev points of the first kind are the points ``cos(x)``, + where ``x = [pi*(k + .5)/npts for k in range(npts)]``. + + Parameters + ---------- + npts : int + Number of sample points desired. + + Returns + ------- + pts : ndarray + The Chebyshev points of the first kind. + + See Also + -------- + chebpts2 + """ + _npts = int(npts) + if _npts != npts: + raise ValueError("npts must be integer") + if _npts < 1: + raise ValueError("npts must be >= 1") + + x = 0.5 * np.pi / _npts * np.arange(-_npts + 1, _npts + 1, 2) + return np.sin(x) + + +def chebpts2(npts): + """ + Chebyshev points of the second kind. + + The Chebyshev points of the second kind are the points ``cos(x)``, + where ``x = [pi*k/(npts - 1) for k in range(npts)]`` sorted in ascending + order. + + Parameters + ---------- + npts : int + Number of sample points desired. + + Returns + ------- + pts : ndarray + The Chebyshev points of the second kind. + """ + _npts = int(npts) + if _npts != npts: + raise ValueError("npts must be integer") + if _npts < 2: + raise ValueError("npts must be >= 2") + + x = np.linspace(-np.pi, 0, _npts) + return np.cos(x) + + +# +# Chebyshev series class +# + +class Chebyshev(ABCPolyBase): + """A Chebyshev series class. + + The Chebyshev class provides the standard Python numerical methods + '+', '-', '*', '//', '%', 'divmod', '**', and '()' as well as the + attributes and methods listed below. + + Parameters + ---------- + coef : array_like + Chebyshev coefficients in order of increasing degree, i.e., + ``(1, 2, 3)`` gives ``1*T_0(x) + 2*T_1(x) + 3*T_2(x)``. + domain : (2,) array_like, optional + Domain to use. The interval ``[domain[0], domain[1]]`` is mapped + to the interval ``[window[0], window[1]]`` by shifting and scaling. + The default value is [-1., 1.]. + window : (2,) array_like, optional + Window, see `domain` for its use. The default value is [-1., 1.]. + symbol : str, optional + Symbol used to represent the independent variable in string + representations of the polynomial expression, e.g. for printing. + The symbol must be a valid Python identifier. Default value is 'x'. + + .. versionadded:: 1.24 + + """ + # Virtual Functions + _add = staticmethod(chebadd) + _sub = staticmethod(chebsub) + _mul = staticmethod(chebmul) + _div = staticmethod(chebdiv) + _pow = staticmethod(chebpow) + _val = staticmethod(chebval) + _int = staticmethod(chebint) + _der = staticmethod(chebder) + _fit = staticmethod(chebfit) + _line = staticmethod(chebline) + _roots = staticmethod(chebroots) + _fromroots = staticmethod(chebfromroots) + + @classmethod + def interpolate(cls, func, deg, domain=None, args=()): + """Interpolate a function at the Chebyshev points of the first kind. + + Returns the series that interpolates `func` at the Chebyshev points of + the first kind scaled and shifted to the `domain`. The resulting series + tends to a minmax approximation of `func` when the function is + continuous in the domain. + + Parameters + ---------- + func : function + The function to be interpolated. It must be a function of a single + variable of the form ``f(x, a, b, c...)``, where ``a, b, c...`` are + extra arguments passed in the `args` parameter. + deg : int + Degree of the interpolating polynomial. + domain : {None, [beg, end]}, optional + Domain over which `func` is interpolated. The default is None, in + which case the domain is [-1, 1]. + args : tuple, optional + Extra arguments to be used in the function call. Default is no + extra arguments. + + Returns + ------- + polynomial : Chebyshev instance + Interpolating Chebyshev instance. + + Notes + ----- + See `numpy.polynomial.chebinterpolate` for more details. + + """ + if domain is None: + domain = cls.domain + xfunc = lambda x: func(pu.mapdomain(x, cls.window, domain), *args) + coef = chebinterpolate(xfunc, deg) + return cls(coef, domain=domain) + + # Virtual properties + domain = np.array(chebdomain) + window = np.array(chebdomain) + basis_name = 'T' diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/chebyshev.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/chebyshev.pyi new file mode 100644 index 0000000000000000000000000000000000000000..1cfb27829b2e58509b6726333c355b08f31d791d --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/chebyshev.pyi @@ -0,0 +1,180 @@ +from _typeshed import ConvertibleToInt +from collections.abc import Callable, Iterable +from typing import ( + Any, + ClassVar, + Concatenate, + Final, + Literal as L, + Self, + TypeVar, + overload, +) + +import numpy as np +import numpy.typing as npt +from numpy._typing import _IntLike_co + +from ._polybase import ABCPolyBase +from ._polytypes import ( + _Array1, + _Array2, + _CoefSeries, + _FuncBinOp, + _FuncCompanion, + _FuncDer, + _FuncFit, + _FuncFromRoots, + _FuncGauss, + _FuncInteg, + _FuncLine, + _FuncPoly2Ortho, + _FuncPow, + _FuncRoots, + _FuncUnOp, + _FuncVal, + _FuncVal2D, + _FuncVal3D, + _FuncVander, + _FuncVander2D, + _FuncVander3D, + _FuncWeight, + _Series, + _SeriesLikeCoef_co, +) +from .polyutils import trimcoef as chebtrim + +__all__ = [ + "chebzero", + "chebone", + "chebx", + "chebdomain", + "chebline", + "chebadd", + "chebsub", + "chebmulx", + "chebmul", + "chebdiv", + "chebpow", + "chebval", + "chebder", + "chebint", + "cheb2poly", + "poly2cheb", + "chebfromroots", + "chebvander", + "chebfit", + "chebtrim", + "chebroots", + "chebpts1", + "chebpts2", + "Chebyshev", + "chebval2d", + "chebval3d", + "chebgrid2d", + "chebgrid3d", + "chebvander2d", + "chebvander3d", + "chebcompanion", + "chebgauss", + "chebweight", + "chebinterpolate", +] + +_NumberOrObjectT = TypeVar("_NumberOrObjectT", bound=np.number | np.object_) +_CoefScalarT = TypeVar("_CoefScalarT", bound=np.number | np.bool | np.object_) + +def _cseries_to_zseries(c: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ... +def _zseries_to_cseries(zs: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ... +def _zseries_mul(z1: npt.NDArray[_NumberOrObjectT], z2: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ... +def _zseries_div(z1: npt.NDArray[_NumberOrObjectT], z2: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ... +def _zseries_der(zs: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ... +def _zseries_int(zs: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ... + +poly2cheb: Final[_FuncPoly2Ortho] = ... +cheb2poly: Final[_FuncUnOp] = ... + +chebdomain: Final[_Array2[np.float64]] = ... +chebzero: Final[_Array1[np.int_]] = ... +chebone: Final[_Array1[np.int_]] = ... +chebx: Final[_Array2[np.int_]] = ... + +chebline: Final[_FuncLine] = ... +chebfromroots: Final[_FuncFromRoots] = ... +chebadd: Final[_FuncBinOp] = ... +chebsub: Final[_FuncBinOp] = ... +chebmulx: Final[_FuncUnOp] = ... +chebmul: Final[_FuncBinOp] = ... +chebdiv: Final[_FuncBinOp] = ... +chebpow: Final[_FuncPow] = ... +chebder: Final[_FuncDer] = ... +chebint: Final[_FuncInteg] = ... +chebval: Final[_FuncVal] = ... +chebval2d: Final[_FuncVal2D] = ... +chebval3d: Final[_FuncVal3D] = ... +chebgrid2d: Final[_FuncVal2D] = ... +chebgrid3d: Final[_FuncVal3D] = ... +chebvander: Final[_FuncVander] = ... +chebvander2d: Final[_FuncVander2D] = ... +chebvander3d: Final[_FuncVander3D] = ... +chebfit: Final[_FuncFit] = ... +chebcompanion: Final[_FuncCompanion] = ... +chebroots: Final[_FuncRoots] = ... +chebgauss: Final[_FuncGauss] = ... +chebweight: Final[_FuncWeight] = ... +def chebpts1(npts: ConvertibleToInt) -> np.ndarray[tuple[int], np.dtype[np.float64]]: ... +def chebpts2(npts: ConvertibleToInt) -> np.ndarray[tuple[int], np.dtype[np.float64]]: ... + +# keep in sync with `Chebyshev.interpolate` (minus `domain` parameter) +@overload +def chebinterpolate( + func: np.ufunc, + deg: _IntLike_co, + args: tuple[()] = (), +) -> npt.NDArray[np.float64 | np.complex128 | np.object_]: ... +@overload +def chebinterpolate( + func: Callable[[npt.NDArray[np.float64]], _CoefScalarT], + deg: _IntLike_co, + args: tuple[()] = (), +) -> npt.NDArray[_CoefScalarT]: ... +@overload +def chebinterpolate( + func: Callable[Concatenate[npt.NDArray[np.float64], ...], _CoefScalarT], + deg: _IntLike_co, + args: Iterable[Any], +) -> npt.NDArray[_CoefScalarT]: ... + +class Chebyshev(ABCPolyBase[L["T"]]): + basis_name: ClassVar[L["T"]] = "T" # pyright: ignore[reportIncompatibleMethodOverride] + domain: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] + window: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] + + @overload + @classmethod + def interpolate( + cls, + func: Callable[[npt.NDArray[np.float64]], _CoefSeries], + deg: _IntLike_co, + domain: _SeriesLikeCoef_co | None = None, + args: tuple[()] = (), + ) -> Self: ... + @overload + @classmethod + def interpolate( + cls, + func: Callable[Concatenate[npt.NDArray[np.float64], ...], _CoefSeries], + deg: _IntLike_co, + domain: _SeriesLikeCoef_co | None = None, + *, + args: Iterable[Any], + ) -> Self: ... + @overload + @classmethod + def interpolate( + cls, + func: Callable[Concatenate[npt.NDArray[np.float64], ...], _CoefSeries], + deg: _IntLike_co, + domain: _SeriesLikeCoef_co | None, + args: Iterable[Any], + ) -> Self: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite.py new file mode 100644 index 0000000000000000000000000000000000000000..c6007d19df7f1ac62a0e3618f184ac7a69d39497 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite.py @@ -0,0 +1,1738 @@ +""" +============================================================== +Hermite Series, "Physicists" (:mod:`numpy.polynomial.hermite`) +============================================================== + +This module provides a number of objects (mostly functions) useful for +dealing with Hermite series, including a `Hermite` class that +encapsulates the usual arithmetic operations. (General information +on how this module represents and works with such polynomials is in the +docstring for its "parent" sub-package, `numpy.polynomial`). + +Classes +------- +.. autosummary:: + :toctree: generated/ + + Hermite + +Constants +--------- +.. autosummary:: + :toctree: generated/ + + hermdomain + hermzero + hermone + hermx + +Arithmetic +---------- +.. autosummary:: + :toctree: generated/ + + hermadd + hermsub + hermmulx + hermmul + hermdiv + hermpow + hermval + hermval2d + hermval3d + hermgrid2d + hermgrid3d + +Calculus +-------- +.. autosummary:: + :toctree: generated/ + + hermder + hermint + +Misc Functions +-------------- +.. autosummary:: + :toctree: generated/ + + hermfromroots + hermroots + hermvander + hermvander2d + hermvander3d + hermgauss + hermweight + hermcompanion + hermfit + hermtrim + hermline + herm2poly + poly2herm + +See also +-------- +`numpy.polynomial` + +""" +import numpy as np + +from . import polyutils as pu +from ._polybase import ABCPolyBase + +__all__ = [ + 'hermzero', 'hermone', 'hermx', 'hermdomain', 'hermline', 'hermadd', + 'hermsub', 'hermmulx', 'hermmul', 'hermdiv', 'hermpow', 'hermval', + 'hermder', 'hermint', 'herm2poly', 'poly2herm', 'hermfromroots', + 'hermvander', 'hermfit', 'hermtrim', 'hermroots', 'Hermite', + 'hermval2d', 'hermval3d', 'hermgrid2d', 'hermgrid3d', 'hermvander2d', + 'hermvander3d', 'hermcompanion', 'hermgauss', 'hermweight'] + +hermtrim = pu.trimcoef + + +def poly2herm(pol): + """ + poly2herm(pol) + + Convert a polynomial to a Hermite series. + + Convert an array representing the coefficients of a polynomial (relative + to the "standard" basis) ordered from lowest degree to highest, to an + array of the coefficients of the equivalent Hermite series, ordered + from lowest to highest degree. + + Parameters + ---------- + pol : array_like + 1-D array containing the polynomial coefficients + + Returns + ------- + c : ndarray + 1-D array containing the coefficients of the equivalent Hermite + series. + + See Also + -------- + herm2poly + + Notes + ----- + The easy way to do conversions between polynomial basis sets + is to use the convert method of a class instance. + + Examples + -------- + >>> from numpy.polynomial.hermite import poly2herm + >>> poly2herm(np.arange(4)) + array([1. , 2.75 , 0.5 , 0.375]) + + """ + [pol] = pu.as_series([pol]) + deg = len(pol) - 1 + res = 0 + for i in range(deg, -1, -1): + res = hermadd(hermmulx(res), pol[i]) + return res + + +def herm2poly(c): + """ + Convert a Hermite series to a polynomial. + + Convert an array representing the coefficients of a Hermite series, + ordered from lowest degree to highest, to an array of the coefficients + of the equivalent polynomial (relative to the "standard" basis) ordered + from lowest to highest degree. + + Parameters + ---------- + c : array_like + 1-D array containing the Hermite series coefficients, ordered + from lowest order term to highest. + + Returns + ------- + pol : ndarray + 1-D array containing the coefficients of the equivalent polynomial + (relative to the "standard" basis) ordered from lowest order term + to highest. + + See Also + -------- + poly2herm + + Notes + ----- + The easy way to do conversions between polynomial basis sets + is to use the convert method of a class instance. + + Examples + -------- + >>> from numpy.polynomial.hermite import herm2poly + >>> herm2poly([ 1. , 2.75 , 0.5 , 0.375]) + array([0., 1., 2., 3.]) + + """ + from .polynomial import polyadd, polymulx, polysub + + [c] = pu.as_series([c]) + n = len(c) + if n == 1: + return c + if n == 2: + c[1] *= 2 + return c + else: + c0 = c[-2] + c1 = c[-1] + # i is the current degree of c1 + for i in range(n - 1, 1, -1): + tmp = c0 + c0 = polysub(c[i - 2], c1 * (2 * (i - 1))) + c1 = polyadd(tmp, polymulx(c1) * 2) + return polyadd(c0, polymulx(c1) * 2) + + +# +# These are constant arrays are of integer type so as to be compatible +# with the widest range of other types, such as Decimal. +# + +# Hermite +hermdomain = np.array([-1., 1.]) + +# Hermite coefficients representing zero. +hermzero = np.array([0]) + +# Hermite coefficients representing one. +hermone = np.array([1]) + +# Hermite coefficients representing the identity x. +hermx = np.array([0, 1 / 2]) + + +def hermline(off, scl): + """ + Hermite series whose graph is a straight line. + + + + Parameters + ---------- + off, scl : scalars + The specified line is given by ``off + scl*x``. + + Returns + ------- + y : ndarray + This module's representation of the Hermite series for + ``off + scl*x``. + + See Also + -------- + numpy.polynomial.polynomial.polyline + numpy.polynomial.chebyshev.chebline + numpy.polynomial.legendre.legline + numpy.polynomial.laguerre.lagline + numpy.polynomial.hermite_e.hermeline + + Examples + -------- + >>> from numpy.polynomial.hermite import hermline, hermval + >>> hermval(0,hermline(3, 2)) + 3.0 + >>> hermval(1,hermline(3, 2)) + 5.0 + + """ + if scl != 0: + return np.array([off, scl / 2]) + else: + return np.array([off]) + + +def hermfromroots(roots): + """ + Generate a Hermite series with given roots. + + The function returns the coefficients of the polynomial + + .. math:: p(x) = (x - r_0) * (x - r_1) * ... * (x - r_n), + + in Hermite form, where the :math:`r_n` are the roots specified in `roots`. + If a zero has multiplicity n, then it must appear in `roots` n times. + For instance, if 2 is a root of multiplicity three and 3 is a root of + multiplicity 2, then `roots` looks something like [2, 2, 2, 3, 3]. The + roots can appear in any order. + + If the returned coefficients are `c`, then + + .. math:: p(x) = c_0 + c_1 * H_1(x) + ... + c_n * H_n(x) + + The coefficient of the last term is not generally 1 for monic + polynomials in Hermite form. + + Parameters + ---------- + roots : array_like + Sequence containing the roots. + + Returns + ------- + out : ndarray + 1-D array of coefficients. If all roots are real then `out` is a + real array, if some of the roots are complex, then `out` is complex + even if all the coefficients in the result are real (see Examples + below). + + See Also + -------- + numpy.polynomial.polynomial.polyfromroots + numpy.polynomial.legendre.legfromroots + numpy.polynomial.laguerre.lagfromroots + numpy.polynomial.chebyshev.chebfromroots + numpy.polynomial.hermite_e.hermefromroots + + Examples + -------- + >>> from numpy.polynomial.hermite import hermfromroots, hermval + >>> coef = hermfromroots((-1, 0, 1)) + >>> hermval((-1, 0, 1), coef) + array([0., 0., 0.]) + >>> coef = hermfromroots((-1j, 1j)) + >>> hermval((-1j, 1j), coef) + array([0.+0.j, 0.+0.j]) + + """ + return pu._fromroots(hermline, hermmul, roots) + + +def hermadd(c1, c2): + """ + Add one Hermite series to another. + + Returns the sum of two Hermite series `c1` + `c2`. The arguments + are sequences of coefficients ordered from lowest order term to + highest, i.e., [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Hermite series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Array representing the Hermite series of their sum. + + See Also + -------- + hermsub, hermmulx, hermmul, hermdiv, hermpow + + Notes + ----- + Unlike multiplication, division, etc., the sum of two Hermite series + is a Hermite series (without having to "reproject" the result onto + the basis set) so addition, just like that of "standard" polynomials, + is simply "component-wise." + + Examples + -------- + >>> from numpy.polynomial.hermite import hermadd + >>> hermadd([1, 2, 3], [1, 2, 3, 4]) + array([2., 4., 6., 4.]) + + """ + return pu._add(c1, c2) + + +def hermsub(c1, c2): + """ + Subtract one Hermite series from another. + + Returns the difference of two Hermite series `c1` - `c2`. The + sequences of coefficients are from lowest order term to highest, i.e., + [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Hermite series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Of Hermite series coefficients representing their difference. + + See Also + -------- + hermadd, hermmulx, hermmul, hermdiv, hermpow + + Notes + ----- + Unlike multiplication, division, etc., the difference of two Hermite + series is a Hermite series (without having to "reproject" the result + onto the basis set) so subtraction, just like that of "standard" + polynomials, is simply "component-wise." + + Examples + -------- + >>> from numpy.polynomial.hermite import hermsub + >>> hermsub([1, 2, 3, 4], [1, 2, 3]) + array([0., 0., 0., 4.]) + + """ + return pu._sub(c1, c2) + + +def hermmulx(c): + """Multiply a Hermite series by x. + + Multiply the Hermite series `c` by x, where x is the independent + variable. + + + Parameters + ---------- + c : array_like + 1-D array of Hermite series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Array representing the result of the multiplication. + + See Also + -------- + hermadd, hermsub, hermmul, hermdiv, hermpow + + Notes + ----- + The multiplication uses the recursion relationship for Hermite + polynomials in the form + + .. math:: + + xP_i(x) = (P_{i + 1}(x)/2 + i*P_{i - 1}(x)) + + Examples + -------- + >>> from numpy.polynomial.hermite import hermmulx + >>> hermmulx([1, 2, 3]) + array([2. , 6.5, 1. , 1.5]) + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + # The zero series needs special treatment + if len(c) == 1 and c[0] == 0: + return c + + prd = np.empty(len(c) + 1, dtype=c.dtype) + prd[0] = c[0] * 0 + prd[1] = c[0] / 2 + for i in range(1, len(c)): + prd[i + 1] = c[i] / 2 + prd[i - 1] += c[i] * i + return prd + + +def hermmul(c1, c2): + """ + Multiply one Hermite series by another. + + Returns the product of two Hermite series `c1` * `c2`. The arguments + are sequences of coefficients, from lowest order "term" to highest, + e.g., [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Hermite series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Of Hermite series coefficients representing their product. + + See Also + -------- + hermadd, hermsub, hermmulx, hermdiv, hermpow + + Notes + ----- + In general, the (polynomial) product of two C-series results in terms + that are not in the Hermite polynomial basis set. Thus, to express + the product as a Hermite series, it is necessary to "reproject" the + product onto said basis set, which may produce "unintuitive" (but + correct) results; see Examples section below. + + Examples + -------- + >>> from numpy.polynomial.hermite import hermmul + >>> hermmul([1, 2, 3], [0, 1, 2]) + array([52., 29., 52., 7., 6.]) + + """ + # s1, s2 are trimmed copies + [c1, c2] = pu.as_series([c1, c2]) + + if len(c1) > len(c2): + c = c2 + xs = c1 + else: + c = c1 + xs = c2 + + if len(c) == 1: + c0 = c[0] * xs + c1 = 0 + elif len(c) == 2: + c0 = c[0] * xs + c1 = c[1] * xs + else: + nd = len(c) + c0 = c[-2] * xs + c1 = c[-1] * xs + for i in range(3, len(c) + 1): + tmp = c0 + nd = nd - 1 + c0 = hermsub(c[-i] * xs, c1 * (2 * (nd - 1))) + c1 = hermadd(tmp, hermmulx(c1) * 2) + return hermadd(c0, hermmulx(c1) * 2) + + +def hermdiv(c1, c2): + """ + Divide one Hermite series by another. + + Returns the quotient-with-remainder of two Hermite series + `c1` / `c2`. The arguments are sequences of coefficients from lowest + order "term" to highest, e.g., [1,2,3] represents the series + ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Hermite series coefficients ordered from low to + high. + + Returns + ------- + [quo, rem] : ndarrays + Of Hermite series coefficients representing the quotient and + remainder. + + See Also + -------- + hermadd, hermsub, hermmulx, hermmul, hermpow + + Notes + ----- + In general, the (polynomial) division of one Hermite series by another + results in quotient and remainder terms that are not in the Hermite + polynomial basis set. Thus, to express these results as a Hermite + series, it is necessary to "reproject" the results onto the Hermite + basis set, which may produce "unintuitive" (but correct) results; see + Examples section below. + + Examples + -------- + >>> from numpy.polynomial.hermite import hermdiv + >>> hermdiv([ 52., 29., 52., 7., 6.], [0, 1, 2]) + (array([1., 2., 3.]), array([0.])) + >>> hermdiv([ 54., 31., 52., 7., 6.], [0, 1, 2]) + (array([1., 2., 3.]), array([2., 2.])) + >>> hermdiv([ 53., 30., 52., 7., 6.], [0, 1, 2]) + (array([1., 2., 3.]), array([1., 1.])) + + """ + return pu._div(hermmul, c1, c2) + + +def hermpow(c, pow, maxpower=16): + """Raise a Hermite series to a power. + + Returns the Hermite series `c` raised to the power `pow`. The + argument `c` is a sequence of coefficients ordered from low to high. + i.e., [1,2,3] is the series ``P_0 + 2*P_1 + 3*P_2.`` + + Parameters + ---------- + c : array_like + 1-D array of Hermite series coefficients ordered from low to + high. + pow : integer + Power to which the series will be raised + maxpower : integer, optional + Maximum power allowed. This is mainly to limit growth of the series + to unmanageable size. Default is 16 + + Returns + ------- + coef : ndarray + Hermite series of power. + + See Also + -------- + hermadd, hermsub, hermmulx, hermmul, hermdiv + + Examples + -------- + >>> from numpy.polynomial.hermite import hermpow + >>> hermpow([1, 2, 3], 2) + array([81., 52., 82., 12., 9.]) + + """ + return pu._pow(hermmul, c, pow, maxpower) + + +def hermder(c, m=1, scl=1, axis=0): + """ + Differentiate a Hermite series. + + Returns the Hermite series coefficients `c` differentiated `m` times + along `axis`. At each iteration the result is multiplied by `scl` (the + scaling factor is for use in a linear change of variable). The argument + `c` is an array of coefficients from low to high degree along each + axis, e.g., [1,2,3] represents the series ``1*H_0 + 2*H_1 + 3*H_2`` + while [[1,2],[1,2]] represents ``1*H_0(x)*H_0(y) + 1*H_1(x)*H_0(y) + + 2*H_0(x)*H_1(y) + 2*H_1(x)*H_1(y)`` if axis=0 is ``x`` and axis=1 is + ``y``. + + Parameters + ---------- + c : array_like + Array of Hermite series coefficients. If `c` is multidimensional the + different axis correspond to different variables with the degree in + each axis given by the corresponding index. + m : int, optional + Number of derivatives taken, must be non-negative. (Default: 1) + scl : scalar, optional + Each differentiation is multiplied by `scl`. The end result is + multiplication by ``scl**m``. This is for use in a linear change of + variable. (Default: 1) + axis : int, optional + Axis over which the derivative is taken. (Default: 0). + + Returns + ------- + der : ndarray + Hermite series of the derivative. + + See Also + -------- + hermint + + Notes + ----- + In general, the result of differentiating a Hermite series does not + resemble the same operation on a power series. Thus the result of this + function may be "unintuitive," albeit correct; see Examples section + below. + + Examples + -------- + >>> from numpy.polynomial.hermite import hermder + >>> hermder([ 1. , 0.5, 0.5, 0.5]) + array([1., 2., 3.]) + >>> hermder([-0.5, 1./2., 1./8., 1./12., 1./16.], m=2) + array([1., 2., 3.]) + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + cnt = pu._as_int(m, "the order of derivation") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of derivation must be non-negative") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + c = np.moveaxis(c, iaxis, 0) + n = len(c) + if cnt >= n: + c = c[:1] * 0 + else: + for i in range(cnt): + n = n - 1 + c *= scl + der = np.empty((n,) + c.shape[1:], dtype=c.dtype) + for j in range(n, 0, -1): + der[j - 1] = (2 * j) * c[j] + c = der + c = np.moveaxis(c, 0, iaxis) + return c + + +def hermint(c, m=1, k=[], lbnd=0, scl=1, axis=0): + """ + Integrate a Hermite series. + + Returns the Hermite series coefficients `c` integrated `m` times from + `lbnd` along `axis`. At each iteration the resulting series is + **multiplied** by `scl` and an integration constant, `k`, is added. + The scaling factor is for use in a linear change of variable. ("Buyer + beware": note that, depending on what one is doing, one may want `scl` + to be the reciprocal of what one might expect; for more information, + see the Notes section below.) The argument `c` is an array of + coefficients from low to high degree along each axis, e.g., [1,2,3] + represents the series ``H_0 + 2*H_1 + 3*H_2`` while [[1,2],[1,2]] + represents ``1*H_0(x)*H_0(y) + 1*H_1(x)*H_0(y) + 2*H_0(x)*H_1(y) + + 2*H_1(x)*H_1(y)`` if axis=0 is ``x`` and axis=1 is ``y``. + + Parameters + ---------- + c : array_like + Array of Hermite series coefficients. If c is multidimensional the + different axis correspond to different variables with the degree in + each axis given by the corresponding index. + m : int, optional + Order of integration, must be positive. (Default: 1) + k : {[], list, scalar}, optional + Integration constant(s). The value of the first integral at + ``lbnd`` is the first value in the list, the value of the second + integral at ``lbnd`` is the second value, etc. If ``k == []`` (the + default), all constants are set to zero. If ``m == 1``, a single + scalar can be given instead of a list. + lbnd : scalar, optional + The lower bound of the integral. (Default: 0) + scl : scalar, optional + Following each integration the result is *multiplied* by `scl` + before the integration constant is added. (Default: 1) + axis : int, optional + Axis over which the integral is taken. (Default: 0). + + Returns + ------- + S : ndarray + Hermite series coefficients of the integral. + + Raises + ------ + ValueError + If ``m < 0``, ``len(k) > m``, ``np.ndim(lbnd) != 0``, or + ``np.ndim(scl) != 0``. + + See Also + -------- + hermder + + Notes + ----- + Note that the result of each integration is *multiplied* by `scl`. + Why is this important to note? Say one is making a linear change of + variable :math:`u = ax + b` in an integral relative to `x`. Then + :math:`dx = du/a`, so one will need to set `scl` equal to + :math:`1/a` - perhaps not what one would have first thought. + + Also note that, in general, the result of integrating a C-series needs + to be "reprojected" onto the C-series basis set. Thus, typically, + the result of this function is "unintuitive," albeit correct; see + Examples section below. + + Examples + -------- + >>> from numpy.polynomial.hermite import hermint + >>> hermint([1,2,3]) # integrate once, value 0 at 0. + array([1. , 0.5, 0.5, 0.5]) + >>> hermint([1,2,3], m=2) # integrate twice, value & deriv 0 at 0 + array([-0.5 , 0.5 , 0.125 , 0.08333333, 0.0625 ]) # may vary + >>> hermint([1,2,3], k=1) # integrate once, value 1 at 0. + array([2. , 0.5, 0.5, 0.5]) + >>> hermint([1,2,3], lbnd=-1) # integrate once, value 0 at -1 + array([-2. , 0.5, 0.5, 0.5]) + >>> hermint([1,2,3], m=2, k=[1,2], lbnd=-1) + array([ 1.66666667, -0.5 , 0.125 , 0.08333333, 0.0625 ]) # may vary + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + if not np.iterable(k): + k = [k] + cnt = pu._as_int(m, "the order of integration") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of integration must be non-negative") + if len(k) > cnt: + raise ValueError("Too many integration constants") + if np.ndim(lbnd) != 0: + raise ValueError("lbnd must be a scalar.") + if np.ndim(scl) != 0: + raise ValueError("scl must be a scalar.") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + c = np.moveaxis(c, iaxis, 0) + k = list(k) + [0] * (cnt - len(k)) + for i in range(cnt): + n = len(c) + c *= scl + if n == 1 and np.all(c[0] == 0): + c[0] += k[i] + else: + tmp = np.empty((n + 1,) + c.shape[1:], dtype=c.dtype) + tmp[0] = c[0] * 0 + tmp[1] = c[0] / 2 + for j in range(1, n): + tmp[j + 1] = c[j] / (2 * (j + 1)) + tmp[0] += k[i] - hermval(lbnd, tmp) + c = tmp + c = np.moveaxis(c, 0, iaxis) + return c + + +def hermval(x, c, tensor=True): + """ + Evaluate a Hermite series at points x. + + If `c` is of length ``n + 1``, this function returns the value: + + .. math:: p(x) = c_0 * H_0(x) + c_1 * H_1(x) + ... + c_n * H_n(x) + + The parameter `x` is converted to an array only if it is a tuple or a + list, otherwise it is treated as a scalar. In either case, either `x` + or its elements must support multiplication and addition both with + themselves and with the elements of `c`. + + If `c` is a 1-D array, then ``p(x)`` will have the same shape as `x`. If + `c` is multidimensional, then the shape of the result depends on the + value of `tensor`. If `tensor` is true the shape will be c.shape[1:] + + x.shape. If `tensor` is false the shape will be c.shape[1:]. Note that + scalars have shape (,). + + Trailing zeros in the coefficients will be used in the evaluation, so + they should be avoided if efficiency is a concern. + + Parameters + ---------- + x : array_like, compatible object + If `x` is a list or tuple, it is converted to an ndarray, otherwise + it is left unchanged and treated as a scalar. In either case, `x` + or its elements must support addition and multiplication with + themselves and with the elements of `c`. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree n are contained in c[n]. If `c` is multidimensional the + remaining indices enumerate multiple polynomials. In the two + dimensional case the coefficients may be thought of as stored in + the columns of `c`. + tensor : boolean, optional + If True, the shape of the coefficient array is extended with ones + on the right, one for each dimension of `x`. Scalars have dimension 0 + for this action. The result is that every column of coefficients in + `c` is evaluated for every element of `x`. If False, `x` is broadcast + over the columns of `c` for the evaluation. This keyword is useful + when `c` is multidimensional. The default value is True. + + Returns + ------- + values : ndarray, algebra_like + The shape of the return value is described above. + + See Also + -------- + hermval2d, hermgrid2d, hermval3d, hermgrid3d + + Notes + ----- + The evaluation uses Clenshaw recursion, aka synthetic division. + + Examples + -------- + >>> from numpy.polynomial.hermite import hermval + >>> coef = [1,2,3] + >>> hermval(1, coef) + 11.0 + >>> hermval([[1,2],[3,4]], coef) + array([[ 11., 51.], + [115., 203.]]) + + """ + c = np.array(c, ndmin=1, copy=None) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + if isinstance(x, (tuple, list)): + x = np.asarray(x) + if isinstance(x, np.ndarray) and tensor: + c = c.reshape(c.shape + (1,) * x.ndim) + + x2 = x * 2 + if len(c) == 1: + c0 = c[0] + c1 = 0 + elif len(c) == 2: + c0 = c[0] + c1 = c[1] + else: + nd = len(c) + c0 = c[-2] + c1 = c[-1] + for i in range(3, len(c) + 1): + tmp = c0 + nd = nd - 1 + c0 = c[-i] - c1 * (2 * (nd - 1)) + c1 = tmp + c1 * x2 + return c0 + c1 * x2 + + +def hermval2d(x, y, c): + """ + Evaluate a 2-D Hermite series at points (x, y). + + This function returns the values: + + .. math:: p(x,y) = \\sum_{i,j} c_{i,j} * H_i(x) * H_j(y) + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars and they + must have the same shape after conversion. In either case, either `x` + and `y` or their elements must support multiplication and addition both + with themselves and with the elements of `c`. + + If `c` is a 1-D array a one is implicitly appended to its shape to make + it 2-D. The shape of the result will be c.shape[2:] + x.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points ``(x, y)``, + where `x` and `y` must have the same shape. If `x` or `y` is a list + or tuple, it is first converted to an ndarray, otherwise it is left + unchanged and if it isn't an ndarray it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term + of multi-degree i,j is contained in ``c[i,j]``. If `c` has + dimension greater than two the remaining indices enumerate multiple + sets of coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points formed with + pairs of corresponding values from `x` and `y`. + + See Also + -------- + hermval, hermgrid2d, hermval3d, hermgrid3d + + Examples + -------- + >>> from numpy.polynomial.hermite import hermval2d + >>> x = [1, 2] + >>> y = [4, 5] + >>> c = [[1, 2, 3], [4, 5, 6]] + >>> hermval2d(x, y, c) + array([1035., 2883.]) + + """ + return pu._valnd(hermval, c, x, y) + + +def hermgrid2d(x, y, c): + """ + Evaluate a 2-D Hermite series on the Cartesian product of x and y. + + This function returns the values: + + .. math:: p(a,b) = \\sum_{i,j} c_{i,j} * H_i(a) * H_j(b) + + where the points ``(a, b)`` consist of all pairs formed by taking + `a` from `x` and `b` from `y`. The resulting points form a grid with + `x` in the first dimension and `y` in the second. + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars. In either + case, either `x` and `y` or their elements must support multiplication + and addition both with themselves and with the elements of `c`. + + If `c` has fewer than two dimensions, ones are implicitly appended to + its shape to make it 2-D. The shape of the result will be c.shape[2:] + + x.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points in the + Cartesian product of `x` and `y`. If `x` or `y` is a list or + tuple, it is first converted to an ndarray, otherwise it is left + unchanged and, if it isn't an ndarray, it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree i,j are contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points in the Cartesian + product of `x` and `y`. + + See Also + -------- + hermval, hermval2d, hermval3d, hermgrid3d + + Examples + -------- + >>> from numpy.polynomial.hermite import hermgrid2d + >>> x = [1, 2, 3] + >>> y = [4, 5] + >>> c = [[1, 2, 3], [4, 5, 6]] + >>> hermgrid2d(x, y, c) + array([[1035., 1599.], + [1867., 2883.], + [2699., 4167.]]) + + """ + return pu._gridnd(hermval, c, x, y) + + +def hermval3d(x, y, z, c): + """ + Evaluate a 3-D Hermite series at points (x, y, z). + + This function returns the values: + + .. math:: p(x,y,z) = \\sum_{i,j,k} c_{i,j,k} * H_i(x) * H_j(y) * H_k(z) + + The parameters `x`, `y`, and `z` are converted to arrays only if + they are tuples or a lists, otherwise they are treated as a scalars and + they must have the same shape after conversion. In either case, either + `x`, `y`, and `z` or their elements must support multiplication and + addition both with themselves and with the elements of `c`. + + If `c` has fewer than 3 dimensions, ones are implicitly appended to its + shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape. + + Parameters + ---------- + x, y, z : array_like, compatible object + The three dimensional series is evaluated at the points + ``(x, y, z)``, where `x`, `y`, and `z` must have the same shape. If + any of `x`, `y`, or `z` is a list or tuple, it is first converted + to an ndarray, otherwise it is left unchanged and if it isn't an + ndarray it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term of + multi-degree i,j,k is contained in ``c[i,j,k]``. If `c` has dimension + greater than 3 the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the multidimensional polynomial on points formed with + triples of corresponding values from `x`, `y`, and `z`. + + See Also + -------- + hermval, hermval2d, hermgrid2d, hermgrid3d + + Examples + -------- + >>> from numpy.polynomial.hermite import hermval3d + >>> x = [1, 2] + >>> y = [4, 5] + >>> z = [6, 7] + >>> c = [[[1, 2, 3], [4, 5, 6]], [[7, 8, 9], [10, 11, 12]]] + >>> hermval3d(x, y, z, c) + array([ 40077., 120131.]) + + """ + return pu._valnd(hermval, c, x, y, z) + + +def hermgrid3d(x, y, z, c): + """ + Evaluate a 3-D Hermite series on the Cartesian product of x, y, and z. + + This function returns the values: + + .. math:: p(a,b,c) = \\sum_{i,j,k} c_{i,j,k} * H_i(a) * H_j(b) * H_k(c) + + where the points ``(a, b, c)`` consist of all triples formed by taking + `a` from `x`, `b` from `y`, and `c` from `z`. The resulting points form + a grid with `x` in the first dimension, `y` in the second, and `z` in + the third. + + The parameters `x`, `y`, and `z` are converted to arrays only if they + are tuples or a lists, otherwise they are treated as a scalars. In + either case, either `x`, `y`, and `z` or their elements must support + multiplication and addition both with themselves and with the elements + of `c`. + + If `c` has fewer than three dimensions, ones are implicitly appended to + its shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape + y.shape + z.shape. + + Parameters + ---------- + x, y, z : array_like, compatible objects + The three dimensional series is evaluated at the points in the + Cartesian product of `x`, `y`, and `z`. If `x`, `y`, or `z` is a + list or tuple, it is first converted to an ndarray, otherwise it is + left unchanged and, if it isn't an ndarray, it is treated as a + scalar. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree i,j are contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points in the Cartesian + product of `x` and `y`. + + See Also + -------- + hermval, hermval2d, hermgrid2d, hermval3d + + Examples + -------- + >>> from numpy.polynomial.hermite import hermgrid3d + >>> x = [1, 2] + >>> y = [4, 5] + >>> z = [6, 7] + >>> c = [[[1, 2, 3], [4, 5, 6]], [[7, 8, 9], [10, 11, 12]]] + >>> hermgrid3d(x, y, z, c) + array([[[ 40077., 54117.], + [ 49293., 66561.]], + [[ 72375., 97719.], + [ 88975., 120131.]]]) + + """ + return pu._gridnd(hermval, c, x, y, z) + + +def hermvander(x, deg): + """Pseudo-Vandermonde matrix of given degree. + + Returns the pseudo-Vandermonde matrix of degree `deg` and sample points + `x`. The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., i] = H_i(x), + + where ``0 <= i <= deg``. The leading indices of `V` index the elements of + `x` and the last index is the degree of the Hermite polynomial. + + If `c` is a 1-D array of coefficients of length ``n + 1`` and `V` is the + array ``V = hermvander(x, n)``, then ``np.dot(V, c)`` and + ``hermval(x, c)`` are the same up to roundoff. This equivalence is + useful both for least squares fitting and for the evaluation of a large + number of Hermite series of the same degree and sample points. + + Parameters + ---------- + x : array_like + Array of points. The dtype is converted to float64 or complex128 + depending on whether any of the elements are complex. If `x` is + scalar it is converted to a 1-D array. + deg : int + Degree of the resulting matrix. + + Returns + ------- + vander : ndarray + The pseudo-Vandermonde matrix. The shape of the returned matrix is + ``x.shape + (deg + 1,)``, where The last index is the degree of the + corresponding Hermite polynomial. The dtype will be the same as + the converted `x`. + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.hermite import hermvander + >>> x = np.array([-1, 0, 1]) + >>> hermvander(x, 3) + array([[ 1., -2., 2., 4.], + [ 1., 0., -2., -0.], + [ 1., 2., 2., -4.]]) + + """ + ideg = pu._as_int(deg, "deg") + if ideg < 0: + raise ValueError("deg must be non-negative") + + x = np.array(x, copy=None, ndmin=1) + 0.0 + dims = (ideg + 1,) + x.shape + dtyp = x.dtype + v = np.empty(dims, dtype=dtyp) + v[0] = x * 0 + 1 + if ideg > 0: + x2 = x * 2 + v[1] = x2 + for i in range(2, ideg + 1): + v[i] = (v[i - 1] * x2 - v[i - 2] * (2 * (i - 1))) + return np.moveaxis(v, 0, -1) + + +def hermvander2d(x, y, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y)``. The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (deg[1] + 1)*i + j] = H_i(x) * H_j(y), + + where ``0 <= i <= deg[0]`` and ``0 <= j <= deg[1]``. The leading indices of + `V` index the points ``(x, y)`` and the last index encodes the degrees of + the Hermite polynomials. + + If ``V = hermvander2d(x, y, [xdeg, ydeg])``, then the columns of `V` + correspond to the elements of a 2-D coefficient array `c` of shape + (xdeg + 1, ydeg + 1) in the order + + .. math:: c_{00}, c_{01}, c_{02} ... , c_{10}, c_{11}, c_{12} ... + + and ``np.dot(V, c.flat)`` and ``hermval2d(x, y, c)`` will be the same + up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 2-D Hermite + series of the same degrees and sample points. + + Parameters + ---------- + x, y : array_like + Arrays of point coordinates, all of the same shape. The dtypes + will be converted to either float64 or complex128 depending on + whether any of the elements are complex. Scalars are converted to 1-D + arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg]. + + Returns + ------- + vander2d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg[1]+1)`. The dtype will be the same + as the converted `x` and `y`. + + See Also + -------- + hermvander, hermvander3d, hermval2d, hermval3d + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.hermite import hermvander2d + >>> x = np.array([-1, 0, 1]) + >>> y = np.array([-1, 0, 1]) + >>> hermvander2d(x, y, [2, 2]) + array([[ 1., -2., 2., -2., 4., -4., 2., -4., 4.], + [ 1., 0., -2., 0., 0., -0., -2., -0., 4.], + [ 1., 2., 2., 2., 4., 4., 2., 4., 4.]]) + + """ + return pu._vander_nd_flat((hermvander, hermvander), (x, y), deg) + + +def hermvander3d(x, y, z, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y, z)``. If `l`, `m`, `n` are the given degrees in `x`, `y`, `z`, + then The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (m+1)(n+1)i + (n+1)j + k] = H_i(x)*H_j(y)*H_k(z), + + where ``0 <= i <= l``, ``0 <= j <= m``, and ``0 <= j <= n``. The leading + indices of `V` index the points ``(x, y, z)`` and the last index encodes + the degrees of the Hermite polynomials. + + If ``V = hermvander3d(x, y, z, [xdeg, ydeg, zdeg])``, then the columns + of `V` correspond to the elements of a 3-D coefficient array `c` of + shape (xdeg + 1, ydeg + 1, zdeg + 1) in the order + + .. math:: c_{000}, c_{001}, c_{002},... , c_{010}, c_{011}, c_{012},... + + and ``np.dot(V, c.flat)`` and ``hermval3d(x, y, z, c)`` will be the + same up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 3-D Hermite + series of the same degrees and sample points. + + Parameters + ---------- + x, y, z : array_like + Arrays of point coordinates, all of the same shape. The dtypes will + be converted to either float64 or complex128 depending on whether + any of the elements are complex. Scalars are converted to 1-D + arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg, z_deg]. + + Returns + ------- + vander3d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg[1]+1)*(deg[2]+1)`. The dtype will + be the same as the converted `x`, `y`, and `z`. + + See Also + -------- + hermvander, hermvander3d, hermval2d, hermval3d + + Examples + -------- + >>> from numpy.polynomial.hermite import hermvander3d + >>> x = np.array([-1, 0, 1]) + >>> y = np.array([-1, 0, 1]) + >>> z = np.array([-1, 0, 1]) + >>> hermvander3d(x, y, z, [0, 1, 2]) + array([[ 1., -2., 2., -2., 4., -4.], + [ 1., 0., -2., 0., 0., -0.], + [ 1., 2., 2., 2., 4., 4.]]) + + """ + return pu._vander_nd_flat((hermvander, hermvander, hermvander), (x, y, z), deg) + + +def hermfit(x, y, deg, rcond=None, full=False, w=None): + """ + Least squares fit of Hermite series to data. + + Return the coefficients of a Hermite series of degree `deg` that is the + least squares fit to the data values `y` given at points `x`. If `y` is + 1-D the returned coefficients will also be 1-D. If `y` is 2-D multiple + fits are done, one for each column of `y`, and the resulting + coefficients are stored in the corresponding columns of a 2-D return. + The fitted polynomial(s) are in the form + + .. math:: p(x) = c_0 + c_1 * H_1(x) + ... + c_n * H_n(x), + + where `n` is `deg`. + + Parameters + ---------- + x : array_like, shape (M,) + x-coordinates of the M sample points ``(x[i], y[i])``. + y : array_like, shape (M,) or (M, K) + y-coordinates of the sample points. Several data sets of sample + points sharing the same x-coordinates can be fitted at once by + passing in a 2D-array that contains one dataset per column. + deg : int or 1-D array_like + Degree(s) of the fitting polynomials. If `deg` is a single integer + all terms up to and including the `deg`'th term are included in the + fit. For NumPy versions >= 1.11.0 a list of integers specifying the + degrees of the terms to include may be used instead. + rcond : float, optional + Relative condition number of the fit. Singular values smaller than + this relative to the largest singular value will be ignored. The + default value is len(x)*eps, where eps is the relative precision of + the float type, about 2e-16 in most cases. + full : bool, optional + Switch determining nature of return value. When it is False (the + default) just the coefficients are returned, when True diagnostic + information from the singular value decomposition is also returned. + w : array_like, shape (`M`,), optional + Weights. If not None, the weight ``w[i]`` applies to the unsquared + residual ``y[i] - y_hat[i]`` at ``x[i]``. Ideally the weights are + chosen so that the errors of the products ``w[i]*y[i]`` all have the + same variance. When using inverse-variance weighting, use + ``w[i] = 1/sigma(y[i])``. The default value is None. + + Returns + ------- + coef : ndarray, shape (M,) or (M, K) + Hermite coefficients ordered from low to high. If `y` was 2-D, + the coefficients for the data in column k of `y` are in column + `k`. + + [residuals, rank, singular_values, rcond] : list + These values are only returned if ``full == True`` + + - residuals -- sum of squared residuals of the least squares fit + - rank -- the numerical rank of the scaled Vandermonde matrix + - singular_values -- singular values of the scaled Vandermonde matrix + - rcond -- value of `rcond`. + + For more details, see `numpy.linalg.lstsq`. + + Warns + ----- + RankWarning + The rank of the coefficient matrix in the least-squares fit is + deficient. The warning is only raised if ``full == False``. The + warnings can be turned off by + + >>> import warnings + >>> warnings.simplefilter('ignore', np.exceptions.RankWarning) + + See Also + -------- + numpy.polynomial.chebyshev.chebfit + numpy.polynomial.legendre.legfit + numpy.polynomial.laguerre.lagfit + numpy.polynomial.polynomial.polyfit + numpy.polynomial.hermite_e.hermefit + hermval : Evaluates a Hermite series. + hermvander : Vandermonde matrix of Hermite series. + hermweight : Hermite weight function + numpy.linalg.lstsq : Computes a least-squares fit from the matrix. + scipy.interpolate.UnivariateSpline : Computes spline fits. + + Notes + ----- + The solution is the coefficients of the Hermite series `p` that + minimizes the sum of the weighted squared errors + + .. math:: E = \\sum_j w_j^2 * |y_j - p(x_j)|^2, + + where the :math:`w_j` are the weights. This problem is solved by + setting up the (typically) overdetermined matrix equation + + .. math:: V(x) * c = w * y, + + where `V` is the weighted pseudo Vandermonde matrix of `x`, `c` are the + coefficients to be solved for, `w` are the weights, `y` are the + observed values. This equation is then solved using the singular value + decomposition of `V`. + + If some of the singular values of `V` are so small that they are + neglected, then a `~exceptions.RankWarning` will be issued. This means that + the coefficient values may be poorly determined. Using a lower order fit + will usually get rid of the warning. The `rcond` parameter can also be + set to a value smaller than its default, but the resulting fit may be + spurious and have large contributions from roundoff error. + + Fits using Hermite series are probably most useful when the data can be + approximated by ``sqrt(w(x)) * p(x)``, where ``w(x)`` is the Hermite + weight. In that case the weight ``sqrt(w(x[i]))`` should be used + together with data values ``y[i]/sqrt(w(x[i]))``. The weight function is + available as `hermweight`. + + References + ---------- + .. [1] Wikipedia, "Curve fitting", + https://en.wikipedia.org/wiki/Curve_fitting + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.hermite import hermfit, hermval + >>> x = np.linspace(-10, 10) + >>> rng = np.random.default_rng() + >>> err = rng.normal(scale=1./10, size=len(x)) + >>> y = hermval(x, [1, 2, 3]) + err + >>> hermfit(x, y, 2) + array([1.02294967, 2.00016403, 2.99994614]) # may vary + + """ + return pu._fit(hermvander, x, y, deg, rcond, full, w) + + +def hermcompanion(c): + """Return the scaled companion matrix of c. + + The basis polynomials are scaled so that the companion matrix is + symmetric when `c` is a Hermite basis polynomial. This provides + better eigenvalue estimates than the unscaled case and for basis + polynomials the eigenvalues are guaranteed to be real if + `numpy.linalg.eigvalsh` is used to obtain them. + + Parameters + ---------- + c : array_like + 1-D array of Hermite series coefficients ordered from low to high + degree. + + Returns + ------- + mat : ndarray + Scaled companion matrix of dimensions (deg, deg). + + Examples + -------- + >>> from numpy.polynomial.hermite import hermcompanion + >>> hermcompanion([1, 0, 1]) + array([[0. , 0.35355339], + [0.70710678, 0. ]]) + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) < 2: + raise ValueError('Series must have maximum degree of at least 1.') + if len(c) == 2: + return np.array([[-.5 * c[0] / c[1]]]) + + n = len(c) - 1 + mat = np.zeros((n, n), dtype=c.dtype) + scl = np.hstack((1., 1. / np.sqrt(2. * np.arange(n - 1, 0, -1)))) + scl = np.multiply.accumulate(scl)[::-1] + top = mat.reshape(-1)[1::n + 1] + bot = mat.reshape(-1)[n::n + 1] + top[...] = np.sqrt(.5 * np.arange(1, n)) + bot[...] = top + mat[:, -1] -= scl * c[:-1] / (2.0 * c[-1]) + return mat + + +def hermroots(c): + """ + Compute the roots of a Hermite series. + + Return the roots (a.k.a. "zeros") of the polynomial + + .. math:: p(x) = \\sum_i c[i] * H_i(x). + + Parameters + ---------- + c : 1-D array_like + 1-D array of coefficients. + + Returns + ------- + out : ndarray + Array of the roots of the series. If all the roots are real, + then `out` is also real, otherwise it is complex. + + See Also + -------- + numpy.polynomial.polynomial.polyroots + numpy.polynomial.legendre.legroots + numpy.polynomial.laguerre.lagroots + numpy.polynomial.chebyshev.chebroots + numpy.polynomial.hermite_e.hermeroots + + Notes + ----- + The root estimates are obtained as the eigenvalues of the companion + matrix, Roots far from the origin of the complex plane may have large + errors due to the numerical instability of the series for such + values. Roots with multiplicity greater than 1 will also show larger + errors as the value of the series near such points is relatively + insensitive to errors in the roots. Isolated roots near the origin can + be improved by a few iterations of Newton's method. + + The Hermite series basis polynomials aren't powers of `x` so the + results of this function may seem unintuitive. + + Examples + -------- + >>> from numpy.polynomial.hermite import hermroots, hermfromroots + >>> coef = hermfromroots([-1, 0, 1]) + >>> coef + array([0. , 0.25 , 0. , 0.125]) + >>> hermroots(coef) + array([-1.00000000e+00, -1.38777878e-17, 1.00000000e+00]) + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) <= 1: + return np.array([], dtype=c.dtype) + if len(c) == 2: + return np.array([-.5 * c[0] / c[1]]) + + # rotated companion matrix reduces error + m = hermcompanion(c)[::-1, ::-1] + r = np.linalg.eigvals(m) + r.sort() + return r + + +def _normed_hermite_n(x, n): + """ + Evaluate a normalized Hermite polynomial. + + Compute the value of the normalized Hermite polynomial of degree ``n`` + at the points ``x``. + + + Parameters + ---------- + x : ndarray of double. + Points at which to evaluate the function + n : int + Degree of the normalized Hermite function to be evaluated. + + Returns + ------- + values : ndarray + The shape of the return value is described above. + + Notes + ----- + This function is needed for finding the Gauss points and integration + weights for high degrees. The values of the standard Hermite functions + overflow when n >= 207. + + """ + if n == 0: + return np.full(x.shape, 1 / np.sqrt(np.sqrt(np.pi))) + + c0 = 0. + c1 = 1. / np.sqrt(np.sqrt(np.pi)) + nd = float(n) + for i in range(n - 1): + tmp = c0 + c0 = -c1 * np.sqrt((nd - 1.) / nd) + c1 = tmp + c1 * x * np.sqrt(2. / nd) + nd = nd - 1.0 + return c0 + c1 * x * np.sqrt(2) + + +def hermgauss(deg): + """ + Gauss-Hermite quadrature. + + Computes the sample points and weights for Gauss-Hermite quadrature. + These sample points and weights will correctly integrate polynomials of + degree :math:`2*deg - 1` or less over the interval :math:`[-\\inf, \\inf]` + with the weight function :math:`f(x) = \\exp(-x^2)`. + + Parameters + ---------- + deg : int + Number of sample points and weights. It must be >= 1. + + Returns + ------- + x : ndarray + 1-D ndarray containing the sample points. + y : ndarray + 1-D ndarray containing the weights. + + Notes + ----- + The results have only been tested up to degree 100, higher degrees may + be problematic. The weights are determined by using the fact that + + .. math:: w_k = c / (H'_n(x_k) * H_{n-1}(x_k)) + + where :math:`c` is a constant independent of :math:`k` and :math:`x_k` + is the k'th root of :math:`H_n`, and then scaling the results to get + the right value when integrating 1. + + Examples + -------- + >>> from numpy.polynomial.hermite import hermgauss + >>> hermgauss(2) + (array([-0.70710678, 0.70710678]), array([0.88622693, 0.88622693])) + + """ + ideg = pu._as_int(deg, "deg") + if ideg <= 0: + raise ValueError("deg must be a positive integer") + + # first approximation of roots. We use the fact that the companion + # matrix is symmetric in this case in order to obtain better zeros. + c = np.array([0] * deg + [1], dtype=np.float64) + m = hermcompanion(c) + x = np.linalg.eigvalsh(m) + + # improve roots by one application of Newton + dy = _normed_hermite_n(x, ideg) + df = _normed_hermite_n(x, ideg - 1) * np.sqrt(2 * ideg) + x -= dy / df + + # compute the weights. We scale the factor to avoid possible numerical + # overflow. + fm = _normed_hermite_n(x, ideg - 1) + fm /= np.abs(fm).max() + w = 1 / (fm * fm) + + # for Hermite we can also symmetrize + w = (w + w[::-1]) / 2 + x = (x - x[::-1]) / 2 + + # scale w to get the right value + w *= np.sqrt(np.pi) / w.sum() + + return x, w + + +def hermweight(x): + """ + Weight function of the Hermite polynomials. + + The weight function is :math:`\\exp(-x^2)` and the interval of + integration is :math:`[-\\inf, \\inf]`. the Hermite polynomials are + orthogonal, but not normalized, with respect to this weight function. + + Parameters + ---------- + x : array_like + Values at which the weight function will be computed. + + Returns + ------- + w : ndarray + The weight function at `x`. + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.hermite import hermweight + >>> x = np.arange(-2, 2) + >>> hermweight(x) + array([0.01831564, 0.36787944, 1. , 0.36787944]) + + """ + w = np.exp(-x**2) + return w + + +# +# Hermite series class +# + +class Hermite(ABCPolyBase): + """A Hermite series class. + + The Hermite class provides the standard Python numerical methods + '+', '-', '*', '//', '%', 'divmod', '**', and '()' as well as the + attributes and methods listed below. + + Parameters + ---------- + coef : array_like + Hermite coefficients in order of increasing degree, i.e, + ``(1, 2, 3)`` gives ``1*H_0(x) + 2*H_1(x) + 3*H_2(x)``. + domain : (2,) array_like, optional + Domain to use. The interval ``[domain[0], domain[1]]`` is mapped + to the interval ``[window[0], window[1]]`` by shifting and scaling. + The default value is [-1., 1.]. + window : (2,) array_like, optional + Window, see `domain` for its use. The default value is [-1., 1.]. + symbol : str, optional + Symbol used to represent the independent variable in string + representations of the polynomial expression, e.g. for printing. + The symbol must be a valid Python identifier. Default value is 'x'. + + .. versionadded:: 1.24 + + """ + # Virtual Functions + _add = staticmethod(hermadd) + _sub = staticmethod(hermsub) + _mul = staticmethod(hermmul) + _div = staticmethod(hermdiv) + _pow = staticmethod(hermpow) + _val = staticmethod(hermval) + _int = staticmethod(hermint) + _der = staticmethod(hermder) + _fit = staticmethod(hermfit) + _line = staticmethod(hermline) + _roots = staticmethod(hermroots) + _fromroots = staticmethod(hermfromroots) + + # Virtual properties + domain = np.array(hermdomain) + window = np.array(hermdomain) + basis_name = 'H' diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite.pyi new file mode 100644 index 0000000000000000000000000000000000000000..04b8238735ddd01e760a914b491d34aa3d3eac58 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite.pyi @@ -0,0 +1,106 @@ +from typing import Any, ClassVar, Final, Literal as L, TypeVar + +import numpy as np +from numpy._typing import _Shape + +from ._polybase import ABCPolyBase +from ._polytypes import ( + _Array1, + _Array2, + _FuncBinOp, + _FuncCompanion, + _FuncDer, + _FuncFit, + _FuncFromRoots, + _FuncGauss, + _FuncInteg, + _FuncLine, + _FuncPoly2Ortho, + _FuncPow, + _FuncRoots, + _FuncUnOp, + _FuncVal, + _FuncVal2D, + _FuncVal3D, + _FuncVander, + _FuncVander2D, + _FuncVander3D, + _FuncWeight, +) +from .polyutils import trimcoef as hermtrim + +__all__ = [ + "hermzero", + "hermone", + "hermx", + "hermdomain", + "hermline", + "hermadd", + "hermsub", + "hermmulx", + "hermmul", + "hermdiv", + "hermpow", + "hermval", + "hermder", + "hermint", + "herm2poly", + "poly2herm", + "hermfromroots", + "hermvander", + "hermfit", + "hermtrim", + "hermroots", + "Hermite", + "hermval2d", + "hermval3d", + "hermgrid2d", + "hermgrid3d", + "hermvander2d", + "hermvander3d", + "hermcompanion", + "hermgauss", + "hermweight", +] + +_ShapeT = TypeVar("_ShapeT", bound=_Shape) + +poly2herm: Final[_FuncPoly2Ortho] = ... +herm2poly: Final[_FuncUnOp] = ... + +hermdomain: Final[_Array2[np.float64]] = ... +hermzero: Final[_Array1[np.int_]] = ... +hermone: Final[_Array1[np.int_]] = ... +hermx: Final[_Array2[np.int_]] = ... + +hermline: Final[_FuncLine] = ... +hermfromroots: Final[_FuncFromRoots] = ... +hermadd: Final[_FuncBinOp] = ... +hermsub: Final[_FuncBinOp] = ... +hermmulx: Final[_FuncUnOp] = ... +hermmul: Final[_FuncBinOp] = ... +hermdiv: Final[_FuncBinOp] = ... +hermpow: Final[_FuncPow] = ... +hermder: Final[_FuncDer] = ... +hermint: Final[_FuncInteg] = ... +hermval: Final[_FuncVal] = ... +hermval2d: Final[_FuncVal2D] = ... +hermval3d: Final[_FuncVal3D] = ... +hermgrid2d: Final[_FuncVal2D] = ... +hermgrid3d: Final[_FuncVal3D] = ... +hermvander: Final[_FuncVander] = ... +hermvander2d: Final[_FuncVander2D] = ... +hermvander3d: Final[_FuncVander3D] = ... +hermfit: Final[_FuncFit] = ... +hermcompanion: Final[_FuncCompanion] = ... +hermroots: Final[_FuncRoots] = ... + +def _normed_hermite_n(x: np.ndarray[_ShapeT, np.dtype[np.float64]], n: int) -> np.ndarray[_ShapeT, np.dtype[np.float64]]: ... + +hermgauss: Final[_FuncGauss] = ... +hermweight: Final[_FuncWeight] = ... + +class Hermite(ABCPolyBase[L["H"]]): + basis_name: ClassVar[L["H"]] = "H" # pyright: ignore[reportIncompatibleMethodOverride] + domain: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] + window: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite_e.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite_e.py new file mode 100644 index 0000000000000000000000000000000000000000..f5d82aa543b95cc2947572273ea662bc832980f0 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite_e.py @@ -0,0 +1,1640 @@ +""" +=================================================================== +HermiteE Series, "Probabilists" (:mod:`numpy.polynomial.hermite_e`) +=================================================================== + +This module provides a number of objects (mostly functions) useful for +dealing with Hermite_e series, including a `HermiteE` class that +encapsulates the usual arithmetic operations. (General information +on how this module represents and works with such polynomials is in the +docstring for its "parent" sub-package, `numpy.polynomial`). + +Classes +------- +.. autosummary:: + :toctree: generated/ + + HermiteE + +Constants +--------- +.. autosummary:: + :toctree: generated/ + + hermedomain + hermezero + hermeone + hermex + +Arithmetic +---------- +.. autosummary:: + :toctree: generated/ + + hermeadd + hermesub + hermemulx + hermemul + hermediv + hermepow + hermeval + hermeval2d + hermeval3d + hermegrid2d + hermegrid3d + +Calculus +-------- +.. autosummary:: + :toctree: generated/ + + hermeder + hermeint + +Misc Functions +-------------- +.. autosummary:: + :toctree: generated/ + + hermefromroots + hermeroots + hermevander + hermevander2d + hermevander3d + hermegauss + hermeweight + hermecompanion + hermefit + hermetrim + hermeline + herme2poly + poly2herme + +See also +-------- +`numpy.polynomial` + +""" +import numpy as np + +from . import polyutils as pu +from ._polybase import ABCPolyBase + +__all__ = [ + 'hermezero', 'hermeone', 'hermex', 'hermedomain', 'hermeline', + 'hermeadd', 'hermesub', 'hermemulx', 'hermemul', 'hermediv', + 'hermepow', 'hermeval', 'hermeder', 'hermeint', 'herme2poly', + 'poly2herme', 'hermefromroots', 'hermevander', 'hermefit', 'hermetrim', + 'hermeroots', 'HermiteE', 'hermeval2d', 'hermeval3d', 'hermegrid2d', + 'hermegrid3d', 'hermevander2d', 'hermevander3d', 'hermecompanion', + 'hermegauss', 'hermeweight'] + +hermetrim = pu.trimcoef + + +def poly2herme(pol): + """ + poly2herme(pol) + + Convert a polynomial to a Hermite series. + + Convert an array representing the coefficients of a polynomial (relative + to the "standard" basis) ordered from lowest degree to highest, to an + array of the coefficients of the equivalent Hermite series, ordered + from lowest to highest degree. + + Parameters + ---------- + pol : array_like + 1-D array containing the polynomial coefficients + + Returns + ------- + c : ndarray + 1-D array containing the coefficients of the equivalent Hermite + series. + + See Also + -------- + herme2poly + + Notes + ----- + The easy way to do conversions between polynomial basis sets + is to use the convert method of a class instance. + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.hermite_e import poly2herme + >>> poly2herme(np.arange(4)) + array([ 2., 10., 2., 3.]) + + """ + [pol] = pu.as_series([pol]) + deg = len(pol) - 1 + res = 0 + for i in range(deg, -1, -1): + res = hermeadd(hermemulx(res), pol[i]) + return res + + +def herme2poly(c): + """ + Convert a Hermite series to a polynomial. + + Convert an array representing the coefficients of a Hermite series, + ordered from lowest degree to highest, to an array of the coefficients + of the equivalent polynomial (relative to the "standard" basis) ordered + from lowest to highest degree. + + Parameters + ---------- + c : array_like + 1-D array containing the Hermite series coefficients, ordered + from lowest order term to highest. + + Returns + ------- + pol : ndarray + 1-D array containing the coefficients of the equivalent polynomial + (relative to the "standard" basis) ordered from lowest order term + to highest. + + See Also + -------- + poly2herme + + Notes + ----- + The easy way to do conversions between polynomial basis sets + is to use the convert method of a class instance. + + Examples + -------- + >>> from numpy.polynomial.hermite_e import herme2poly + >>> herme2poly([ 2., 10., 2., 3.]) + array([0., 1., 2., 3.]) + + """ + from .polynomial import polyadd, polymulx, polysub + + [c] = pu.as_series([c]) + n = len(c) + if n == 1: + return c + if n == 2: + return c + else: + c0 = c[-2] + c1 = c[-1] + # i is the current degree of c1 + for i in range(n - 1, 1, -1): + tmp = c0 + c0 = polysub(c[i - 2], c1 * (i - 1)) + c1 = polyadd(tmp, polymulx(c1)) + return polyadd(c0, polymulx(c1)) + + +# +# These are constant arrays are of integer type so as to be compatible +# with the widest range of other types, such as Decimal. +# + +# Hermite +hermedomain = np.array([-1., 1.]) + +# Hermite coefficients representing zero. +hermezero = np.array([0]) + +# Hermite coefficients representing one. +hermeone = np.array([1]) + +# Hermite coefficients representing the identity x. +hermex = np.array([0, 1]) + + +def hermeline(off, scl): + """ + Hermite series whose graph is a straight line. + + Parameters + ---------- + off, scl : scalars + The specified line is given by ``off + scl*x``. + + Returns + ------- + y : ndarray + This module's representation of the Hermite series for + ``off + scl*x``. + + See Also + -------- + numpy.polynomial.polynomial.polyline + numpy.polynomial.chebyshev.chebline + numpy.polynomial.legendre.legline + numpy.polynomial.laguerre.lagline + numpy.polynomial.hermite.hermline + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermeline + >>> from numpy.polynomial.hermite_e import hermeline, hermeval + >>> hermeval(0,hermeline(3, 2)) + 3.0 + >>> hermeval(1,hermeline(3, 2)) + 5.0 + + """ + if scl != 0: + return np.array([off, scl]) + else: + return np.array([off]) + + +def hermefromroots(roots): + """ + Generate a HermiteE series with given roots. + + The function returns the coefficients of the polynomial + + .. math:: p(x) = (x - r_0) * (x - r_1) * ... * (x - r_n), + + in HermiteE form, where the :math:`r_n` are the roots specified in `roots`. + If a zero has multiplicity n, then it must appear in `roots` n times. + For instance, if 2 is a root of multiplicity three and 3 is a root of + multiplicity 2, then `roots` looks something like [2, 2, 2, 3, 3]. The + roots can appear in any order. + + If the returned coefficients are `c`, then + + .. math:: p(x) = c_0 + c_1 * He_1(x) + ... + c_n * He_n(x) + + The coefficient of the last term is not generally 1 for monic + polynomials in HermiteE form. + + Parameters + ---------- + roots : array_like + Sequence containing the roots. + + Returns + ------- + out : ndarray + 1-D array of coefficients. If all roots are real then `out` is a + real array, if some of the roots are complex, then `out` is complex + even if all the coefficients in the result are real (see Examples + below). + + See Also + -------- + numpy.polynomial.polynomial.polyfromroots + numpy.polynomial.legendre.legfromroots + numpy.polynomial.laguerre.lagfromroots + numpy.polynomial.hermite.hermfromroots + numpy.polynomial.chebyshev.chebfromroots + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermefromroots, hermeval + >>> coef = hermefromroots((-1, 0, 1)) + >>> hermeval((-1, 0, 1), coef) + array([0., 0., 0.]) + >>> coef = hermefromroots((-1j, 1j)) + >>> hermeval((-1j, 1j), coef) + array([0.+0.j, 0.+0.j]) + + """ + return pu._fromroots(hermeline, hermemul, roots) + + +def hermeadd(c1, c2): + """ + Add one Hermite series to another. + + Returns the sum of two Hermite series `c1` + `c2`. The arguments + are sequences of coefficients ordered from lowest order term to + highest, i.e., [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Hermite series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Array representing the Hermite series of their sum. + + See Also + -------- + hermesub, hermemulx, hermemul, hermediv, hermepow + + Notes + ----- + Unlike multiplication, division, etc., the sum of two Hermite series + is a Hermite series (without having to "reproject" the result onto + the basis set) so addition, just like that of "standard" polynomials, + is simply "component-wise." + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermeadd + >>> hermeadd([1, 2, 3], [1, 2, 3, 4]) + array([2., 4., 6., 4.]) + + """ + return pu._add(c1, c2) + + +def hermesub(c1, c2): + """ + Subtract one Hermite series from another. + + Returns the difference of two Hermite series `c1` - `c2`. The + sequences of coefficients are from lowest order term to highest, i.e., + [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Hermite series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Of Hermite series coefficients representing their difference. + + See Also + -------- + hermeadd, hermemulx, hermemul, hermediv, hermepow + + Notes + ----- + Unlike multiplication, division, etc., the difference of two Hermite + series is a Hermite series (without having to "reproject" the result + onto the basis set) so subtraction, just like that of "standard" + polynomials, is simply "component-wise." + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermesub + >>> hermesub([1, 2, 3, 4], [1, 2, 3]) + array([0., 0., 0., 4.]) + + """ + return pu._sub(c1, c2) + + +def hermemulx(c): + """Multiply a Hermite series by x. + + Multiply the Hermite series `c` by x, where x is the independent + variable. + + + Parameters + ---------- + c : array_like + 1-D array of Hermite series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Array representing the result of the multiplication. + + See Also + -------- + hermeadd, hermesub, hermemul, hermediv, hermepow + + Notes + ----- + The multiplication uses the recursion relationship for Hermite + polynomials in the form + + .. math:: + + xP_i(x) = (P_{i + 1}(x) + iP_{i - 1}(x))) + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermemulx + >>> hermemulx([1, 2, 3]) + array([2., 7., 2., 3.]) + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + # The zero series needs special treatment + if len(c) == 1 and c[0] == 0: + return c + + prd = np.empty(len(c) + 1, dtype=c.dtype) + prd[0] = c[0] * 0 + prd[1] = c[0] + for i in range(1, len(c)): + prd[i + 1] = c[i] + prd[i - 1] += c[i] * i + return prd + + +def hermemul(c1, c2): + """ + Multiply one Hermite series by another. + + Returns the product of two Hermite series `c1` * `c2`. The arguments + are sequences of coefficients, from lowest order "term" to highest, + e.g., [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Hermite series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Of Hermite series coefficients representing their product. + + See Also + -------- + hermeadd, hermesub, hermemulx, hermediv, hermepow + + Notes + ----- + In general, the (polynomial) product of two C-series results in terms + that are not in the Hermite polynomial basis set. Thus, to express + the product as a Hermite series, it is necessary to "reproject" the + product onto said basis set, which may produce "unintuitive" (but + correct) results; see Examples section below. + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermemul + >>> hermemul([1, 2, 3], [0, 1, 2]) + array([14., 15., 28., 7., 6.]) + + """ + # s1, s2 are trimmed copies + [c1, c2] = pu.as_series([c1, c2]) + + if len(c1) > len(c2): + c = c2 + xs = c1 + else: + c = c1 + xs = c2 + + if len(c) == 1: + c0 = c[0] * xs + c1 = 0 + elif len(c) == 2: + c0 = c[0] * xs + c1 = c[1] * xs + else: + nd = len(c) + c0 = c[-2] * xs + c1 = c[-1] * xs + for i in range(3, len(c) + 1): + tmp = c0 + nd = nd - 1 + c0 = hermesub(c[-i] * xs, c1 * (nd - 1)) + c1 = hermeadd(tmp, hermemulx(c1)) + return hermeadd(c0, hermemulx(c1)) + + +def hermediv(c1, c2): + """ + Divide one Hermite series by another. + + Returns the quotient-with-remainder of two Hermite series + `c1` / `c2`. The arguments are sequences of coefficients from lowest + order "term" to highest, e.g., [1,2,3] represents the series + ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Hermite series coefficients ordered from low to + high. + + Returns + ------- + [quo, rem] : ndarrays + Of Hermite series coefficients representing the quotient and + remainder. + + See Also + -------- + hermeadd, hermesub, hermemulx, hermemul, hermepow + + Notes + ----- + In general, the (polynomial) division of one Hermite series by another + results in quotient and remainder terms that are not in the Hermite + polynomial basis set. Thus, to express these results as a Hermite + series, it is necessary to "reproject" the results onto the Hermite + basis set, which may produce "unintuitive" (but correct) results; see + Examples section below. + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermediv + >>> hermediv([ 14., 15., 28., 7., 6.], [0, 1, 2]) + (array([1., 2., 3.]), array([0.])) + >>> hermediv([ 15., 17., 28., 7., 6.], [0, 1, 2]) + (array([1., 2., 3.]), array([1., 2.])) + + """ + return pu._div(hermemul, c1, c2) + + +def hermepow(c, pow, maxpower=16): + """Raise a Hermite series to a power. + + Returns the Hermite series `c` raised to the power `pow`. The + argument `c` is a sequence of coefficients ordered from low to high. + i.e., [1,2,3] is the series ``P_0 + 2*P_1 + 3*P_2.`` + + Parameters + ---------- + c : array_like + 1-D array of Hermite series coefficients ordered from low to + high. + pow : integer + Power to which the series will be raised + maxpower : integer, optional + Maximum power allowed. This is mainly to limit growth of the series + to unmanageable size. Default is 16 + + Returns + ------- + coef : ndarray + Hermite series of power. + + See Also + -------- + hermeadd, hermesub, hermemulx, hermemul, hermediv + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermepow + >>> hermepow([1, 2, 3], 2) + array([23., 28., 46., 12., 9.]) + + """ + return pu._pow(hermemul, c, pow, maxpower) + + +def hermeder(c, m=1, scl=1, axis=0): + """ + Differentiate a Hermite_e series. + + Returns the series coefficients `c` differentiated `m` times along + `axis`. At each iteration the result is multiplied by `scl` (the + scaling factor is for use in a linear change of variable). The argument + `c` is an array of coefficients from low to high degree along each + axis, e.g., [1,2,3] represents the series ``1*He_0 + 2*He_1 + 3*He_2`` + while [[1,2],[1,2]] represents ``1*He_0(x)*He_0(y) + 1*He_1(x)*He_0(y) + + 2*He_0(x)*He_1(y) + 2*He_1(x)*He_1(y)`` if axis=0 is ``x`` and axis=1 + is ``y``. + + Parameters + ---------- + c : array_like + Array of Hermite_e series coefficients. If `c` is multidimensional + the different axis correspond to different variables with the + degree in each axis given by the corresponding index. + m : int, optional + Number of derivatives taken, must be non-negative. (Default: 1) + scl : scalar, optional + Each differentiation is multiplied by `scl`. The end result is + multiplication by ``scl**m``. This is for use in a linear change of + variable. (Default: 1) + axis : int, optional + Axis over which the derivative is taken. (Default: 0). + + Returns + ------- + der : ndarray + Hermite series of the derivative. + + See Also + -------- + hermeint + + Notes + ----- + In general, the result of differentiating a Hermite series does not + resemble the same operation on a power series. Thus the result of this + function may be "unintuitive," albeit correct; see Examples section + below. + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermeder + >>> hermeder([ 1., 1., 1., 1.]) + array([1., 2., 3.]) + >>> hermeder([-0.25, 1., 1./2., 1./3., 1./4 ], m=2) + array([1., 2., 3.]) + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + cnt = pu._as_int(m, "the order of derivation") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of derivation must be non-negative") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + c = np.moveaxis(c, iaxis, 0) + n = len(c) + if cnt >= n: + return c[:1] * 0 + else: + for i in range(cnt): + n = n - 1 + c *= scl + der = np.empty((n,) + c.shape[1:], dtype=c.dtype) + for j in range(n, 0, -1): + der[j - 1] = j * c[j] + c = der + c = np.moveaxis(c, 0, iaxis) + return c + + +def hermeint(c, m=1, k=[], lbnd=0, scl=1, axis=0): + """ + Integrate a Hermite_e series. + + Returns the Hermite_e series coefficients `c` integrated `m` times from + `lbnd` along `axis`. At each iteration the resulting series is + **multiplied** by `scl` and an integration constant, `k`, is added. + The scaling factor is for use in a linear change of variable. ("Buyer + beware": note that, depending on what one is doing, one may want `scl` + to be the reciprocal of what one might expect; for more information, + see the Notes section below.) The argument `c` is an array of + coefficients from low to high degree along each axis, e.g., [1,2,3] + represents the series ``H_0 + 2*H_1 + 3*H_2`` while [[1,2],[1,2]] + represents ``1*H_0(x)*H_0(y) + 1*H_1(x)*H_0(y) + 2*H_0(x)*H_1(y) + + 2*H_1(x)*H_1(y)`` if axis=0 is ``x`` and axis=1 is ``y``. + + Parameters + ---------- + c : array_like + Array of Hermite_e series coefficients. If c is multidimensional + the different axis correspond to different variables with the + degree in each axis given by the corresponding index. + m : int, optional + Order of integration, must be positive. (Default: 1) + k : {[], list, scalar}, optional + Integration constant(s). The value of the first integral at + ``lbnd`` is the first value in the list, the value of the second + integral at ``lbnd`` is the second value, etc. If ``k == []`` (the + default), all constants are set to zero. If ``m == 1``, a single + scalar can be given instead of a list. + lbnd : scalar, optional + The lower bound of the integral. (Default: 0) + scl : scalar, optional + Following each integration the result is *multiplied* by `scl` + before the integration constant is added. (Default: 1) + axis : int, optional + Axis over which the integral is taken. (Default: 0). + + Returns + ------- + S : ndarray + Hermite_e series coefficients of the integral. + + Raises + ------ + ValueError + If ``m < 0``, ``len(k) > m``, ``np.ndim(lbnd) != 0``, or + ``np.ndim(scl) != 0``. + + See Also + -------- + hermeder + + Notes + ----- + Note that the result of each integration is *multiplied* by `scl`. + Why is this important to note? Say one is making a linear change of + variable :math:`u = ax + b` in an integral relative to `x`. Then + :math:`dx = du/a`, so one will need to set `scl` equal to + :math:`1/a` - perhaps not what one would have first thought. + + Also note that, in general, the result of integrating a C-series needs + to be "reprojected" onto the C-series basis set. Thus, typically, + the result of this function is "unintuitive," albeit correct; see + Examples section below. + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermeint + >>> hermeint([1, 2, 3]) # integrate once, value 0 at 0. + array([1., 1., 1., 1.]) + >>> hermeint([1, 2, 3], m=2) # integrate twice, value & deriv 0 at 0 + array([-0.25 , 1. , 0.5 , 0.33333333, 0.25 ]) # may vary + >>> hermeint([1, 2, 3], k=1) # integrate once, value 1 at 0. + array([2., 1., 1., 1.]) + >>> hermeint([1, 2, 3], lbnd=-1) # integrate once, value 0 at -1 + array([-1., 1., 1., 1.]) + >>> hermeint([1, 2, 3], m=2, k=[1, 2], lbnd=-1) + array([ 1.83333333, 0. , 0.5 , 0.33333333, 0.25 ]) # may vary + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + if not np.iterable(k): + k = [k] + cnt = pu._as_int(m, "the order of integration") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of integration must be non-negative") + if len(k) > cnt: + raise ValueError("Too many integration constants") + if np.ndim(lbnd) != 0: + raise ValueError("lbnd must be a scalar.") + if np.ndim(scl) != 0: + raise ValueError("scl must be a scalar.") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + c = np.moveaxis(c, iaxis, 0) + k = list(k) + [0] * (cnt - len(k)) + for i in range(cnt): + n = len(c) + c *= scl + if n == 1 and np.all(c[0] == 0): + c[0] += k[i] + else: + tmp = np.empty((n + 1,) + c.shape[1:], dtype=c.dtype) + tmp[0] = c[0] * 0 + tmp[1] = c[0] + for j in range(1, n): + tmp[j + 1] = c[j] / (j + 1) + tmp[0] += k[i] - hermeval(lbnd, tmp) + c = tmp + c = np.moveaxis(c, 0, iaxis) + return c + + +def hermeval(x, c, tensor=True): + """ + Evaluate a HermiteE series at points x. + + If `c` is of length ``n + 1``, this function returns the value: + + .. math:: p(x) = c_0 * He_0(x) + c_1 * He_1(x) + ... + c_n * He_n(x) + + The parameter `x` is converted to an array only if it is a tuple or a + list, otherwise it is treated as a scalar. In either case, either `x` + or its elements must support multiplication and addition both with + themselves and with the elements of `c`. + + If `c` is a 1-D array, then ``p(x)`` will have the same shape as `x`. If + `c` is multidimensional, then the shape of the result depends on the + value of `tensor`. If `tensor` is true the shape will be c.shape[1:] + + x.shape. If `tensor` is false the shape will be c.shape[1:]. Note that + scalars have shape (,). + + Trailing zeros in the coefficients will be used in the evaluation, so + they should be avoided if efficiency is a concern. + + Parameters + ---------- + x : array_like, compatible object + If `x` is a list or tuple, it is converted to an ndarray, otherwise + it is left unchanged and treated as a scalar. In either case, `x` + or its elements must support addition and multiplication with + with themselves and with the elements of `c`. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree n are contained in c[n]. If `c` is multidimensional the + remaining indices enumerate multiple polynomials. In the two + dimensional case the coefficients may be thought of as stored in + the columns of `c`. + tensor : boolean, optional + If True, the shape of the coefficient array is extended with ones + on the right, one for each dimension of `x`. Scalars have dimension 0 + for this action. The result is that every column of coefficients in + `c` is evaluated for every element of `x`. If False, `x` is broadcast + over the columns of `c` for the evaluation. This keyword is useful + when `c` is multidimensional. The default value is True. + + Returns + ------- + values : ndarray, algebra_like + The shape of the return value is described above. + + See Also + -------- + hermeval2d, hermegrid2d, hermeval3d, hermegrid3d + + Notes + ----- + The evaluation uses Clenshaw recursion, aka synthetic division. + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermeval + >>> coef = [1,2,3] + >>> hermeval(1, coef) + 3.0 + >>> hermeval([[1,2],[3,4]], coef) + array([[ 3., 14.], + [31., 54.]]) + + """ + c = np.array(c, ndmin=1, copy=None) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + if isinstance(x, (tuple, list)): + x = np.asarray(x) + if isinstance(x, np.ndarray) and tensor: + c = c.reshape(c.shape + (1,) * x.ndim) + + if len(c) == 1: + c0 = c[0] + c1 = 0 + elif len(c) == 2: + c0 = c[0] + c1 = c[1] + else: + nd = len(c) + c0 = c[-2] + c1 = c[-1] + for i in range(3, len(c) + 1): + tmp = c0 + nd = nd - 1 + c0 = c[-i] - c1 * (nd - 1) + c1 = tmp + c1 * x + return c0 + c1 * x + + +def hermeval2d(x, y, c): + """ + Evaluate a 2-D HermiteE series at points (x, y). + + This function returns the values: + + .. math:: p(x,y) = \\sum_{i,j} c_{i,j} * He_i(x) * He_j(y) + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars and they + must have the same shape after conversion. In either case, either `x` + and `y` or their elements must support multiplication and addition both + with themselves and with the elements of `c`. + + If `c` is a 1-D array a one is implicitly appended to its shape to make + it 2-D. The shape of the result will be c.shape[2:] + x.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points ``(x, y)``, + where `x` and `y` must have the same shape. If `x` or `y` is a list + or tuple, it is first converted to an ndarray, otherwise it is left + unchanged and if it isn't an ndarray it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term + of multi-degree i,j is contained in ``c[i,j]``. If `c` has + dimension greater than two the remaining indices enumerate multiple + sets of coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points formed with + pairs of corresponding values from `x` and `y`. + + See Also + -------- + hermeval, hermegrid2d, hermeval3d, hermegrid3d + """ + return pu._valnd(hermeval, c, x, y) + + +def hermegrid2d(x, y, c): + """ + Evaluate a 2-D HermiteE series on the Cartesian product of x and y. + + This function returns the values: + + .. math:: p(a,b) = \\sum_{i,j} c_{i,j} * H_i(a) * H_j(b) + + where the points ``(a, b)`` consist of all pairs formed by taking + `a` from `x` and `b` from `y`. The resulting points form a grid with + `x` in the first dimension and `y` in the second. + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars. In either + case, either `x` and `y` or their elements must support multiplication + and addition both with themselves and with the elements of `c`. + + If `c` has fewer than two dimensions, ones are implicitly appended to + its shape to make it 2-D. The shape of the result will be c.shape[2:] + + x.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points in the + Cartesian product of `x` and `y`. If `x` or `y` is a list or + tuple, it is first converted to an ndarray, otherwise it is left + unchanged and, if it isn't an ndarray, it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree i,j are contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points in the Cartesian + product of `x` and `y`. + + See Also + -------- + hermeval, hermeval2d, hermeval3d, hermegrid3d + """ + return pu._gridnd(hermeval, c, x, y) + + +def hermeval3d(x, y, z, c): + """ + Evaluate a 3-D Hermite_e series at points (x, y, z). + + This function returns the values: + + .. math:: p(x,y,z) = \\sum_{i,j,k} c_{i,j,k} * He_i(x) * He_j(y) * He_k(z) + + The parameters `x`, `y`, and `z` are converted to arrays only if + they are tuples or a lists, otherwise they are treated as a scalars and + they must have the same shape after conversion. In either case, either + `x`, `y`, and `z` or their elements must support multiplication and + addition both with themselves and with the elements of `c`. + + If `c` has fewer than 3 dimensions, ones are implicitly appended to its + shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape. + + Parameters + ---------- + x, y, z : array_like, compatible object + The three dimensional series is evaluated at the points + `(x, y, z)`, where `x`, `y`, and `z` must have the same shape. If + any of `x`, `y`, or `z` is a list or tuple, it is first converted + to an ndarray, otherwise it is left unchanged and if it isn't an + ndarray it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term of + multi-degree i,j,k is contained in ``c[i,j,k]``. If `c` has dimension + greater than 3 the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the multidimensional polynomial on points formed with + triples of corresponding values from `x`, `y`, and `z`. + + See Also + -------- + hermeval, hermeval2d, hermegrid2d, hermegrid3d + """ + return pu._valnd(hermeval, c, x, y, z) + + +def hermegrid3d(x, y, z, c): + """ + Evaluate a 3-D HermiteE series on the Cartesian product of x, y, and z. + + This function returns the values: + + .. math:: p(a,b,c) = \\sum_{i,j,k} c_{i,j,k} * He_i(a) * He_j(b) * He_k(c) + + where the points ``(a, b, c)`` consist of all triples formed by taking + `a` from `x`, `b` from `y`, and `c` from `z`. The resulting points form + a grid with `x` in the first dimension, `y` in the second, and `z` in + the third. + + The parameters `x`, `y`, and `z` are converted to arrays only if they + are tuples or a lists, otherwise they are treated as a scalars. In + either case, either `x`, `y`, and `z` or their elements must support + multiplication and addition both with themselves and with the elements + of `c`. + + If `c` has fewer than three dimensions, ones are implicitly appended to + its shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape + y.shape + z.shape. + + Parameters + ---------- + x, y, z : array_like, compatible objects + The three dimensional series is evaluated at the points in the + Cartesian product of `x`, `y`, and `z`. If `x`, `y`, or `z` is a + list or tuple, it is first converted to an ndarray, otherwise it is + left unchanged and, if it isn't an ndarray, it is treated as a + scalar. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree i,j are contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points in the Cartesian + product of `x` and `y`. + + See Also + -------- + hermeval, hermeval2d, hermegrid2d, hermeval3d + """ + return pu._gridnd(hermeval, c, x, y, z) + + +def hermevander(x, deg): + """Pseudo-Vandermonde matrix of given degree. + + Returns the pseudo-Vandermonde matrix of degree `deg` and sample points + `x`. The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., i] = He_i(x), + + where ``0 <= i <= deg``. The leading indices of `V` index the elements of + `x` and the last index is the degree of the HermiteE polynomial. + + If `c` is a 1-D array of coefficients of length ``n + 1`` and `V` is the + array ``V = hermevander(x, n)``, then ``np.dot(V, c)`` and + ``hermeval(x, c)`` are the same up to roundoff. This equivalence is + useful both for least squares fitting and for the evaluation of a large + number of HermiteE series of the same degree and sample points. + + Parameters + ---------- + x : array_like + Array of points. The dtype is converted to float64 or complex128 + depending on whether any of the elements are complex. If `x` is + scalar it is converted to a 1-D array. + deg : int + Degree of the resulting matrix. + + Returns + ------- + vander : ndarray + The pseudo-Vandermonde matrix. The shape of the returned matrix is + ``x.shape + (deg + 1,)``, where The last index is the degree of the + corresponding HermiteE polynomial. The dtype will be the same as + the converted `x`. + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.hermite_e import hermevander + >>> x = np.array([-1, 0, 1]) + >>> hermevander(x, 3) + array([[ 1., -1., 0., 2.], + [ 1., 0., -1., -0.], + [ 1., 1., 0., -2.]]) + + """ + ideg = pu._as_int(deg, "deg") + if ideg < 0: + raise ValueError("deg must be non-negative") + + x = np.array(x, copy=None, ndmin=1) + 0.0 + dims = (ideg + 1,) + x.shape + dtyp = x.dtype + v = np.empty(dims, dtype=dtyp) + v[0] = x * 0 + 1 + if ideg > 0: + v[1] = x + for i in range(2, ideg + 1): + v[i] = (v[i - 1] * x - v[i - 2] * (i - 1)) + return np.moveaxis(v, 0, -1) + + +def hermevander2d(x, y, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y)``. The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (deg[1] + 1)*i + j] = He_i(x) * He_j(y), + + where ``0 <= i <= deg[0]`` and ``0 <= j <= deg[1]``. The leading indices of + `V` index the points ``(x, y)`` and the last index encodes the degrees of + the HermiteE polynomials. + + If ``V = hermevander2d(x, y, [xdeg, ydeg])``, then the columns of `V` + correspond to the elements of a 2-D coefficient array `c` of shape + (xdeg + 1, ydeg + 1) in the order + + .. math:: c_{00}, c_{01}, c_{02} ... , c_{10}, c_{11}, c_{12} ... + + and ``np.dot(V, c.flat)`` and ``hermeval2d(x, y, c)`` will be the same + up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 2-D HermiteE + series of the same degrees and sample points. + + Parameters + ---------- + x, y : array_like + Arrays of point coordinates, all of the same shape. The dtypes + will be converted to either float64 or complex128 depending on + whether any of the elements are complex. Scalars are converted to + 1-D arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg]. + + Returns + ------- + vander2d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg[1]+1)`. The dtype will be the same + as the converted `x` and `y`. + + See Also + -------- + hermevander, hermevander3d, hermeval2d, hermeval3d + """ + return pu._vander_nd_flat((hermevander, hermevander), (x, y), deg) + + +def hermevander3d(x, y, z, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y, z)``. If `l`, `m`, `n` are the given degrees in `x`, `y`, `z`, + then Hehe pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (m+1)(n+1)i + (n+1)j + k] = He_i(x)*He_j(y)*He_k(z), + + where ``0 <= i <= l``, ``0 <= j <= m``, and ``0 <= j <= n``. The leading + indices of `V` index the points ``(x, y, z)`` and the last index encodes + the degrees of the HermiteE polynomials. + + If ``V = hermevander3d(x, y, z, [xdeg, ydeg, zdeg])``, then the columns + of `V` correspond to the elements of a 3-D coefficient array `c` of + shape (xdeg + 1, ydeg + 1, zdeg + 1) in the order + + .. math:: c_{000}, c_{001}, c_{002},... , c_{010}, c_{011}, c_{012},... + + and ``np.dot(V, c.flat)`` and ``hermeval3d(x, y, z, c)`` will be the + same up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 3-D HermiteE + series of the same degrees and sample points. + + Parameters + ---------- + x, y, z : array_like + Arrays of point coordinates, all of the same shape. The dtypes will + be converted to either float64 or complex128 depending on whether + any of the elements are complex. Scalars are converted to 1-D + arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg, z_deg]. + + Returns + ------- + vander3d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg[1]+1)*(deg[2]+1)`. The dtype will + be the same as the converted `x`, `y`, and `z`. + + See Also + -------- + hermevander, hermevander3d, hermeval2d, hermeval3d + """ + return pu._vander_nd_flat((hermevander, hermevander, hermevander), (x, y, z), deg) + + +def hermefit(x, y, deg, rcond=None, full=False, w=None): + """ + Least squares fit of Hermite series to data. + + Return the coefficients of a HermiteE series of degree `deg` that is + the least squares fit to the data values `y` given at points `x`. If + `y` is 1-D the returned coefficients will also be 1-D. If `y` is 2-D + multiple fits are done, one for each column of `y`, and the resulting + coefficients are stored in the corresponding columns of a 2-D return. + The fitted polynomial(s) are in the form + + .. math:: p(x) = c_0 + c_1 * He_1(x) + ... + c_n * He_n(x), + + where `n` is `deg`. + + Parameters + ---------- + x : array_like, shape (M,) + x-coordinates of the M sample points ``(x[i], y[i])``. + y : array_like, shape (M,) or (M, K) + y-coordinates of the sample points. Several data sets of sample + points sharing the same x-coordinates can be fitted at once by + passing in a 2D-array that contains one dataset per column. + deg : int or 1-D array_like + Degree(s) of the fitting polynomials. If `deg` is a single integer + all terms up to and including the `deg`'th term are included in the + fit. For NumPy versions >= 1.11.0 a list of integers specifying the + degrees of the terms to include may be used instead. + rcond : float, optional + Relative condition number of the fit. Singular values smaller than + this relative to the largest singular value will be ignored. The + default value is len(x)*eps, where eps is the relative precision of + the float type, about 2e-16 in most cases. + full : bool, optional + Switch determining nature of return value. When it is False (the + default) just the coefficients are returned, when True diagnostic + information from the singular value decomposition is also returned. + w : array_like, shape (`M`,), optional + Weights. If not None, the weight ``w[i]`` applies to the unsquared + residual ``y[i] - y_hat[i]`` at ``x[i]``. Ideally the weights are + chosen so that the errors of the products ``w[i]*y[i]`` all have the + same variance. When using inverse-variance weighting, use + ``w[i] = 1/sigma(y[i])``. The default value is None. + + Returns + ------- + coef : ndarray, shape (M,) or (M, K) + Hermite coefficients ordered from low to high. If `y` was 2-D, + the coefficients for the data in column k of `y` are in column + `k`. + + [residuals, rank, singular_values, rcond] : list + These values are only returned if ``full == True`` + + - residuals -- sum of squared residuals of the least squares fit + - rank -- the numerical rank of the scaled Vandermonde matrix + - singular_values -- singular values of the scaled Vandermonde matrix + - rcond -- value of `rcond`. + + For more details, see `numpy.linalg.lstsq`. + + Warns + ----- + RankWarning + The rank of the coefficient matrix in the least-squares fit is + deficient. The warning is only raised if ``full = False``. The + warnings can be turned off by + + >>> import warnings + >>> warnings.simplefilter('ignore', np.exceptions.RankWarning) + + See Also + -------- + numpy.polynomial.chebyshev.chebfit + numpy.polynomial.legendre.legfit + numpy.polynomial.polynomial.polyfit + numpy.polynomial.hermite.hermfit + numpy.polynomial.laguerre.lagfit + hermeval : Evaluates a Hermite series. + hermevander : pseudo Vandermonde matrix of Hermite series. + hermeweight : HermiteE weight function. + numpy.linalg.lstsq : Computes a least-squares fit from the matrix. + scipy.interpolate.UnivariateSpline : Computes spline fits. + + Notes + ----- + The solution is the coefficients of the HermiteE series `p` that + minimizes the sum of the weighted squared errors + + .. math:: E = \\sum_j w_j^2 * |y_j - p(x_j)|^2, + + where the :math:`w_j` are the weights. This problem is solved by + setting up the (typically) overdetermined matrix equation + + .. math:: V(x) * c = w * y, + + where `V` is the pseudo Vandermonde matrix of `x`, the elements of `c` + are the coefficients to be solved for, and the elements of `y` are the + observed values. This equation is then solved using the singular value + decomposition of `V`. + + If some of the singular values of `V` are so small that they are + neglected, then a `~exceptions.RankWarning` will be issued. This means that + the coefficient values may be poorly determined. Using a lower order fit + will usually get rid of the warning. The `rcond` parameter can also be + set to a value smaller than its default, but the resulting fit may be + spurious and have large contributions from roundoff error. + + Fits using HermiteE series are probably most useful when the data can + be approximated by ``sqrt(w(x)) * p(x)``, where ``w(x)`` is the HermiteE + weight. In that case the weight ``sqrt(w(x[i]))`` should be used + together with data values ``y[i]/sqrt(w(x[i]))``. The weight function is + available as `hermeweight`. + + References + ---------- + .. [1] Wikipedia, "Curve fitting", + https://en.wikipedia.org/wiki/Curve_fitting + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.hermite_e import hermefit, hermeval + >>> x = np.linspace(-10, 10) + >>> rng = np.random.default_rng() + >>> err = rng.normal(scale=1./10, size=len(x)) + >>> y = hermeval(x, [1, 2, 3]) + err + >>> hermefit(x, y, 2) + array([1.02284196, 2.00032805, 2.99978457]) # may vary + + """ + return pu._fit(hermevander, x, y, deg, rcond, full, w) + + +def hermecompanion(c): + """ + Return the scaled companion matrix of c. + + The basis polynomials are scaled so that the companion matrix is + symmetric when `c` is a HermiteE basis polynomial. This provides + better eigenvalue estimates than the unscaled case and for basis + polynomials the eigenvalues are guaranteed to be real if + `numpy.linalg.eigvalsh` is used to obtain them. + + Parameters + ---------- + c : array_like + 1-D array of HermiteE series coefficients ordered from low to high + degree. + + Returns + ------- + mat : ndarray + Scaled companion matrix of dimensions (deg, deg). + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) < 2: + raise ValueError('Series must have maximum degree of at least 1.') + if len(c) == 2: + return np.array([[-c[0] / c[1]]]) + + n = len(c) - 1 + mat = np.zeros((n, n), dtype=c.dtype) + scl = np.hstack((1., 1. / np.sqrt(np.arange(n - 1, 0, -1)))) + scl = np.multiply.accumulate(scl)[::-1] + top = mat.reshape(-1)[1::n + 1] + bot = mat.reshape(-1)[n::n + 1] + top[...] = np.sqrt(np.arange(1, n)) + bot[...] = top + mat[:, -1] -= scl * c[:-1] / c[-1] + return mat + + +def hermeroots(c): + """ + Compute the roots of a HermiteE series. + + Return the roots (a.k.a. "zeros") of the polynomial + + .. math:: p(x) = \\sum_i c[i] * He_i(x). + + Parameters + ---------- + c : 1-D array_like + 1-D array of coefficients. + + Returns + ------- + out : ndarray + Array of the roots of the series. If all the roots are real, + then `out` is also real, otherwise it is complex. + + See Also + -------- + numpy.polynomial.polynomial.polyroots + numpy.polynomial.legendre.legroots + numpy.polynomial.laguerre.lagroots + numpy.polynomial.hermite.hermroots + numpy.polynomial.chebyshev.chebroots + + Notes + ----- + The root estimates are obtained as the eigenvalues of the companion + matrix, Roots far from the origin of the complex plane may have large + errors due to the numerical instability of the series for such + values. Roots with multiplicity greater than 1 will also show larger + errors as the value of the series near such points is relatively + insensitive to errors in the roots. Isolated roots near the origin can + be improved by a few iterations of Newton's method. + + The HermiteE series basis polynomials aren't powers of `x` so the + results of this function may seem unintuitive. + + Examples + -------- + >>> from numpy.polynomial.hermite_e import hermeroots, hermefromroots + >>> coef = hermefromroots([-1, 0, 1]) + >>> coef + array([0., 2., 0., 1.]) + >>> hermeroots(coef) + array([-1., 0., 1.]) # may vary + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) <= 1: + return np.array([], dtype=c.dtype) + if len(c) == 2: + return np.array([-c[0] / c[1]]) + + # rotated companion matrix reduces error + m = hermecompanion(c)[::-1, ::-1] + r = np.linalg.eigvals(m) + r.sort() + return r + + +def _normed_hermite_e_n(x, n): + """ + Evaluate a normalized HermiteE polynomial. + + Compute the value of the normalized HermiteE polynomial of degree ``n`` + at the points ``x``. + + + Parameters + ---------- + x : ndarray of double. + Points at which to evaluate the function + n : int + Degree of the normalized HermiteE function to be evaluated. + + Returns + ------- + values : ndarray + The shape of the return value is described above. + + Notes + ----- + This function is needed for finding the Gauss points and integration + weights for high degrees. The values of the standard HermiteE functions + overflow when n >= 207. + + """ + if n == 0: + return np.full(x.shape, 1 / np.sqrt(np.sqrt(2 * np.pi))) + + c0 = 0. + c1 = 1. / np.sqrt(np.sqrt(2 * np.pi)) + nd = float(n) + for i in range(n - 1): + tmp = c0 + c0 = -c1 * np.sqrt((nd - 1.) / nd) + c1 = tmp + c1 * x * np.sqrt(1. / nd) + nd = nd - 1.0 + return c0 + c1 * x + + +def hermegauss(deg): + """ + Gauss-HermiteE quadrature. + + Computes the sample points and weights for Gauss-HermiteE quadrature. + These sample points and weights will correctly integrate polynomials of + degree :math:`2*deg - 1` or less over the interval :math:`[-\\inf, \\inf]` + with the weight function :math:`f(x) = \\exp(-x^2/2)`. + + Parameters + ---------- + deg : int + Number of sample points and weights. It must be >= 1. + + Returns + ------- + x : ndarray + 1-D ndarray containing the sample points. + y : ndarray + 1-D ndarray containing the weights. + + Notes + ----- + The results have only been tested up to degree 100, higher degrees may + be problematic. The weights are determined by using the fact that + + .. math:: w_k = c / (He'_n(x_k) * He_{n-1}(x_k)) + + where :math:`c` is a constant independent of :math:`k` and :math:`x_k` + is the k'th root of :math:`He_n`, and then scaling the results to get + the right value when integrating 1. + + """ + ideg = pu._as_int(deg, "deg") + if ideg <= 0: + raise ValueError("deg must be a positive integer") + + # first approximation of roots. We use the fact that the companion + # matrix is symmetric in this case in order to obtain better zeros. + c = np.array([0] * deg + [1]) + m = hermecompanion(c) + x = np.linalg.eigvalsh(m) + + # improve roots by one application of Newton + dy = _normed_hermite_e_n(x, ideg) + df = _normed_hermite_e_n(x, ideg - 1) * np.sqrt(ideg) + x -= dy / df + + # compute the weights. We scale the factor to avoid possible numerical + # overflow. + fm = _normed_hermite_e_n(x, ideg - 1) + fm /= np.abs(fm).max() + w = 1 / (fm * fm) + + # for Hermite_e we can also symmetrize + w = (w + w[::-1]) / 2 + x = (x - x[::-1]) / 2 + + # scale w to get the right value + w *= np.sqrt(2 * np.pi) / w.sum() + + return x, w + + +def hermeweight(x): + """Weight function of the Hermite_e polynomials. + + The weight function is :math:`\\exp(-x^2/2)` and the interval of + integration is :math:`[-\\inf, \\inf]`. the HermiteE polynomials are + orthogonal, but not normalized, with respect to this weight function. + + Parameters + ---------- + x : array_like + Values at which the weight function will be computed. + + Returns + ------- + w : ndarray + The weight function at `x`. + """ + w = np.exp(-.5 * x**2) + return w + + +# +# HermiteE series class +# + +class HermiteE(ABCPolyBase): + """A HermiteE series class. + + The HermiteE class provides the standard Python numerical methods + '+', '-', '*', '//', '%', 'divmod', '**', and '()' as well as the + attributes and methods listed below. + + Parameters + ---------- + coef : array_like + HermiteE coefficients in order of increasing degree, i.e, + ``(1, 2, 3)`` gives ``1*He_0(x) + 2*He_1(X) + 3*He_2(x)``. + domain : (2,) array_like, optional + Domain to use. The interval ``[domain[0], domain[1]]`` is mapped + to the interval ``[window[0], window[1]]`` by shifting and scaling. + The default value is [-1., 1.]. + window : (2,) array_like, optional + Window, see `domain` for its use. The default value is [-1., 1.]. + symbol : str, optional + Symbol used to represent the independent variable in string + representations of the polynomial expression, e.g. for printing. + The symbol must be a valid Python identifier. Default value is 'x'. + + .. versionadded:: 1.24 + + """ + # Virtual Functions + _add = staticmethod(hermeadd) + _sub = staticmethod(hermesub) + _mul = staticmethod(hermemul) + _div = staticmethod(hermediv) + _pow = staticmethod(hermepow) + _val = staticmethod(hermeval) + _int = staticmethod(hermeint) + _der = staticmethod(hermeder) + _fit = staticmethod(hermefit) + _line = staticmethod(hermeline) + _roots = staticmethod(hermeroots) + _fromroots = staticmethod(hermefromroots) + + # Virtual properties + domain = np.array(hermedomain) + window = np.array(hermedomain) + basis_name = 'He' diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite_e.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite_e.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b996de52c6da6da425606e85030fa2b0c7ca5a2a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/hermite_e.pyi @@ -0,0 +1,106 @@ +from typing import Any, ClassVar, Final, Literal as L, TypeVar + +import numpy as np +from numpy._typing import _Shape + +from ._polybase import ABCPolyBase +from ._polytypes import ( + _Array1, + _Array2, + _FuncBinOp, + _FuncCompanion, + _FuncDer, + _FuncFit, + _FuncFromRoots, + _FuncGauss, + _FuncInteg, + _FuncLine, + _FuncPoly2Ortho, + _FuncPow, + _FuncRoots, + _FuncUnOp, + _FuncVal, + _FuncVal2D, + _FuncVal3D, + _FuncVander, + _FuncVander2D, + _FuncVander3D, + _FuncWeight, +) +from .polyutils import trimcoef as hermetrim + +__all__ = [ + "hermezero", + "hermeone", + "hermex", + "hermedomain", + "hermeline", + "hermeadd", + "hermesub", + "hermemulx", + "hermemul", + "hermediv", + "hermepow", + "hermeval", + "hermeder", + "hermeint", + "herme2poly", + "poly2herme", + "hermefromroots", + "hermevander", + "hermefit", + "hermetrim", + "hermeroots", + "HermiteE", + "hermeval2d", + "hermeval3d", + "hermegrid2d", + "hermegrid3d", + "hermevander2d", + "hermevander3d", + "hermecompanion", + "hermegauss", + "hermeweight", +] + +_ShapeT = TypeVar("_ShapeT", bound=_Shape) + +poly2herme: Final[_FuncPoly2Ortho] = ... +herme2poly: Final[_FuncUnOp] = ... + +hermedomain: Final[_Array2[np.float64]] = ... +hermezero: Final[_Array1[np.int_]] = ... +hermeone: Final[_Array1[np.int_]] = ... +hermex: Final[_Array2[np.int_]] = ... + +hermeline: Final[_FuncLine] = ... +hermefromroots: Final[_FuncFromRoots] = ... +hermeadd: Final[_FuncBinOp] = ... +hermesub: Final[_FuncBinOp] = ... +hermemulx: Final[_FuncUnOp] = ... +hermemul: Final[_FuncBinOp] = ... +hermediv: Final[_FuncBinOp] = ... +hermepow: Final[_FuncPow] = ... +hermeder: Final[_FuncDer] = ... +hermeint: Final[_FuncInteg] = ... +hermeval: Final[_FuncVal] = ... +hermeval2d: Final[_FuncVal2D] = ... +hermeval3d: Final[_FuncVal3D] = ... +hermegrid2d: Final[_FuncVal2D] = ... +hermegrid3d: Final[_FuncVal3D] = ... +hermevander: Final[_FuncVander] = ... +hermevander2d: Final[_FuncVander2D] = ... +hermevander3d: Final[_FuncVander3D] = ... +hermefit: Final[_FuncFit] = ... +hermecompanion: Final[_FuncCompanion] = ... +hermeroots: Final[_FuncRoots] = ... + +def _normed_hermite_e_n(x: np.ndarray[_ShapeT, np.dtype[np.float64]], n: int) -> np.ndarray[_ShapeT, np.dtype[np.float64]]: ... + +hermegauss: Final[_FuncGauss] = ... +hermeweight: Final[_FuncWeight] = ... + +class HermiteE(ABCPolyBase[L["He"]]): + basis_name: ClassVar[L["He"]] = "He" # pyright: ignore[reportIncompatibleMethodOverride] + domain: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] + window: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/laguerre.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/laguerre.py new file mode 100644 index 0000000000000000000000000000000000000000..b1d87bf6d035f046a4a6f7a9f8e1637110f40c30 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/laguerre.py @@ -0,0 +1,1673 @@ +""" +================================================== +Laguerre Series (:mod:`numpy.polynomial.laguerre`) +================================================== + +This module provides a number of objects (mostly functions) useful for +dealing with Laguerre series, including a `Laguerre` class that +encapsulates the usual arithmetic operations. (General information +on how this module represents and works with such polynomials is in the +docstring for its "parent" sub-package, `numpy.polynomial`). + +Classes +------- +.. autosummary:: + :toctree: generated/ + + Laguerre + +Constants +--------- +.. autosummary:: + :toctree: generated/ + + lagdomain + lagzero + lagone + lagx + +Arithmetic +---------- +.. autosummary:: + :toctree: generated/ + + lagadd + lagsub + lagmulx + lagmul + lagdiv + lagpow + lagval + lagval2d + lagval3d + laggrid2d + laggrid3d + +Calculus +-------- +.. autosummary:: + :toctree: generated/ + + lagder + lagint + +Misc Functions +-------------- +.. autosummary:: + :toctree: generated/ + + lagfromroots + lagroots + lagvander + lagvander2d + lagvander3d + laggauss + lagweight + lagcompanion + lagfit + lagtrim + lagline + lag2poly + poly2lag + +See also +-------- +`numpy.polynomial` + +""" +import numpy as np + +from . import polyutils as pu +from ._polybase import ABCPolyBase + +__all__ = [ + 'lagzero', 'lagone', 'lagx', 'lagdomain', 'lagline', 'lagadd', + 'lagsub', 'lagmulx', 'lagmul', 'lagdiv', 'lagpow', 'lagval', 'lagder', + 'lagint', 'lag2poly', 'poly2lag', 'lagfromroots', 'lagvander', + 'lagfit', 'lagtrim', 'lagroots', 'Laguerre', 'lagval2d', 'lagval3d', + 'laggrid2d', 'laggrid3d', 'lagvander2d', 'lagvander3d', 'lagcompanion', + 'laggauss', 'lagweight'] + +lagtrim = pu.trimcoef + + +def poly2lag(pol): + """ + poly2lag(pol) + + Convert a polynomial to a Laguerre series. + + Convert an array representing the coefficients of a polynomial (relative + to the "standard" basis) ordered from lowest degree to highest, to an + array of the coefficients of the equivalent Laguerre series, ordered + from lowest to highest degree. + + Parameters + ---------- + pol : array_like + 1-D array containing the polynomial coefficients + + Returns + ------- + c : ndarray + 1-D array containing the coefficients of the equivalent Laguerre + series. + + See Also + -------- + lag2poly + + Notes + ----- + The easy way to do conversions between polynomial basis sets + is to use the convert method of a class instance. + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.laguerre import poly2lag + >>> poly2lag(np.arange(4)) + array([ 23., -63., 58., -18.]) + + """ + [pol] = pu.as_series([pol]) + res = 0 + for p in pol[::-1]: + res = lagadd(lagmulx(res), p) + return res + + +def lag2poly(c): + """ + Convert a Laguerre series to a polynomial. + + Convert an array representing the coefficients of a Laguerre series, + ordered from lowest degree to highest, to an array of the coefficients + of the equivalent polynomial (relative to the "standard" basis) ordered + from lowest to highest degree. + + Parameters + ---------- + c : array_like + 1-D array containing the Laguerre series coefficients, ordered + from lowest order term to highest. + + Returns + ------- + pol : ndarray + 1-D array containing the coefficients of the equivalent polynomial + (relative to the "standard" basis) ordered from lowest order term + to highest. + + See Also + -------- + poly2lag + + Notes + ----- + The easy way to do conversions between polynomial basis sets + is to use the convert method of a class instance. + + Examples + -------- + >>> from numpy.polynomial.laguerre import lag2poly + >>> lag2poly([ 23., -63., 58., -18.]) + array([0., 1., 2., 3.]) + + """ + from .polynomial import polyadd, polymulx, polysub + + [c] = pu.as_series([c]) + n = len(c) + if n == 1: + return c + else: + c0 = c[-2] + c1 = c[-1] + # i is the current degree of c1 + for i in range(n - 1, 1, -1): + tmp = c0 + c0 = polysub(c[i - 2], (c1 * (i - 1)) / i) + c1 = polyadd(tmp, polysub((2 * i - 1) * c1, polymulx(c1)) / i) + return polyadd(c0, polysub(c1, polymulx(c1))) + + +# +# These are constant arrays are of integer type so as to be compatible +# with the widest range of other types, such as Decimal. +# + +# Laguerre +lagdomain = np.array([0., 1.]) + +# Laguerre coefficients representing zero. +lagzero = np.array([0]) + +# Laguerre coefficients representing one. +lagone = np.array([1]) + +# Laguerre coefficients representing the identity x. +lagx = np.array([1, -1]) + + +def lagline(off, scl): + """ + Laguerre series whose graph is a straight line. + + Parameters + ---------- + off, scl : scalars + The specified line is given by ``off + scl*x``. + + Returns + ------- + y : ndarray + This module's representation of the Laguerre series for + ``off + scl*x``. + + See Also + -------- + numpy.polynomial.polynomial.polyline + numpy.polynomial.chebyshev.chebline + numpy.polynomial.legendre.legline + numpy.polynomial.hermite.hermline + numpy.polynomial.hermite_e.hermeline + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagline, lagval + >>> lagval(0,lagline(3, 2)) + 3.0 + >>> lagval(1,lagline(3, 2)) + 5.0 + + """ + if scl != 0: + return np.array([off + scl, -scl]) + else: + return np.array([off]) + + +def lagfromroots(roots): + """ + Generate a Laguerre series with given roots. + + The function returns the coefficients of the polynomial + + .. math:: p(x) = (x - r_0) * (x - r_1) * ... * (x - r_n), + + in Laguerre form, where the :math:`r_n` are the roots specified in `roots`. + If a zero has multiplicity n, then it must appear in `roots` n times. + For instance, if 2 is a root of multiplicity three and 3 is a root of + multiplicity 2, then `roots` looks something like [2, 2, 2, 3, 3]. The + roots can appear in any order. + + If the returned coefficients are `c`, then + + .. math:: p(x) = c_0 + c_1 * L_1(x) + ... + c_n * L_n(x) + + The coefficient of the last term is not generally 1 for monic + polynomials in Laguerre form. + + Parameters + ---------- + roots : array_like + Sequence containing the roots. + + Returns + ------- + out : ndarray + 1-D array of coefficients. If all roots are real then `out` is a + real array, if some of the roots are complex, then `out` is complex + even if all the coefficients in the result are real (see Examples + below). + + See Also + -------- + numpy.polynomial.polynomial.polyfromroots + numpy.polynomial.legendre.legfromroots + numpy.polynomial.chebyshev.chebfromroots + numpy.polynomial.hermite.hermfromroots + numpy.polynomial.hermite_e.hermefromroots + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagfromroots, lagval + >>> coef = lagfromroots((-1, 0, 1)) + >>> lagval((-1, 0, 1), coef) + array([0., 0., 0.]) + >>> coef = lagfromroots((-1j, 1j)) + >>> lagval((-1j, 1j), coef) + array([0.+0.j, 0.+0.j]) + + """ + return pu._fromroots(lagline, lagmul, roots) + + +def lagadd(c1, c2): + """ + Add one Laguerre series to another. + + Returns the sum of two Laguerre series `c1` + `c2`. The arguments + are sequences of coefficients ordered from lowest order term to + highest, i.e., [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Laguerre series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Array representing the Laguerre series of their sum. + + See Also + -------- + lagsub, lagmulx, lagmul, lagdiv, lagpow + + Notes + ----- + Unlike multiplication, division, etc., the sum of two Laguerre series + is a Laguerre series (without having to "reproject" the result onto + the basis set) so addition, just like that of "standard" polynomials, + is simply "component-wise." + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagadd + >>> lagadd([1, 2, 3], [1, 2, 3, 4]) + array([2., 4., 6., 4.]) + + """ + return pu._add(c1, c2) + + +def lagsub(c1, c2): + """ + Subtract one Laguerre series from another. + + Returns the difference of two Laguerre series `c1` - `c2`. The + sequences of coefficients are from lowest order term to highest, i.e., + [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Laguerre series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Of Laguerre series coefficients representing their difference. + + See Also + -------- + lagadd, lagmulx, lagmul, lagdiv, lagpow + + Notes + ----- + Unlike multiplication, division, etc., the difference of two Laguerre + series is a Laguerre series (without having to "reproject" the result + onto the basis set) so subtraction, just like that of "standard" + polynomials, is simply "component-wise." + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagsub + >>> lagsub([1, 2, 3, 4], [1, 2, 3]) + array([0., 0., 0., 4.]) + + """ + return pu._sub(c1, c2) + + +def lagmulx(c): + """Multiply a Laguerre series by x. + + Multiply the Laguerre series `c` by x, where x is the independent + variable. + + + Parameters + ---------- + c : array_like + 1-D array of Laguerre series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Array representing the result of the multiplication. + + See Also + -------- + lagadd, lagsub, lagmul, lagdiv, lagpow + + Notes + ----- + The multiplication uses the recursion relationship for Laguerre + polynomials in the form + + .. math:: + + xP_i(x) = (-(i + 1)*P_{i + 1}(x) + (2i + 1)P_{i}(x) - iP_{i - 1}(x)) + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagmulx + >>> lagmulx([1, 2, 3]) + array([-1., -1., 11., -9.]) + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + # The zero series needs special treatment + if len(c) == 1 and c[0] == 0: + return c + + prd = np.empty(len(c) + 1, dtype=c.dtype) + prd[0] = c[0] + prd[1] = -c[0] + for i in range(1, len(c)): + prd[i + 1] = -c[i] * (i + 1) + prd[i] += c[i] * (2 * i + 1) + prd[i - 1] -= c[i] * i + return prd + + +def lagmul(c1, c2): + """ + Multiply one Laguerre series by another. + + Returns the product of two Laguerre series `c1` * `c2`. The arguments + are sequences of coefficients, from lowest order "term" to highest, + e.g., [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Laguerre series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Of Laguerre series coefficients representing their product. + + See Also + -------- + lagadd, lagsub, lagmulx, lagdiv, lagpow + + Notes + ----- + In general, the (polynomial) product of two C-series results in terms + that are not in the Laguerre polynomial basis set. Thus, to express + the product as a Laguerre series, it is necessary to "reproject" the + product onto said basis set, which may produce "unintuitive" (but + correct) results; see Examples section below. + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagmul + >>> lagmul([1, 2, 3], [0, 1, 2]) + array([ 8., -13., 38., -51., 36.]) + + """ + # s1, s2 are trimmed copies + [c1, c2] = pu.as_series([c1, c2]) + + if len(c1) > len(c2): + c = c2 + xs = c1 + else: + c = c1 + xs = c2 + + if len(c) == 1: + c0 = c[0] * xs + c1 = 0 + elif len(c) == 2: + c0 = c[0] * xs + c1 = c[1] * xs + else: + nd = len(c) + c0 = c[-2] * xs + c1 = c[-1] * xs + for i in range(3, len(c) + 1): + tmp = c0 + nd = nd - 1 + c0 = lagsub(c[-i] * xs, (c1 * (nd - 1)) / nd) + c1 = lagadd(tmp, lagsub((2 * nd - 1) * c1, lagmulx(c1)) / nd) + return lagadd(c0, lagsub(c1, lagmulx(c1))) + + +def lagdiv(c1, c2): + """ + Divide one Laguerre series by another. + + Returns the quotient-with-remainder of two Laguerre series + `c1` / `c2`. The arguments are sequences of coefficients from lowest + order "term" to highest, e.g., [1,2,3] represents the series + ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Laguerre series coefficients ordered from low to + high. + + Returns + ------- + [quo, rem] : ndarrays + Of Laguerre series coefficients representing the quotient and + remainder. + + See Also + -------- + lagadd, lagsub, lagmulx, lagmul, lagpow + + Notes + ----- + In general, the (polynomial) division of one Laguerre series by another + results in quotient and remainder terms that are not in the Laguerre + polynomial basis set. Thus, to express these results as a Laguerre + series, it is necessary to "reproject" the results onto the Laguerre + basis set, which may produce "unintuitive" (but correct) results; see + Examples section below. + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagdiv + >>> lagdiv([ 8., -13., 38., -51., 36.], [0, 1, 2]) + (array([1., 2., 3.]), array([0.])) + >>> lagdiv([ 9., -12., 38., -51., 36.], [0, 1, 2]) + (array([1., 2., 3.]), array([1., 1.])) + + """ + return pu._div(lagmul, c1, c2) + + +def lagpow(c, pow, maxpower=16): + """Raise a Laguerre series to a power. + + Returns the Laguerre series `c` raised to the power `pow`. The + argument `c` is a sequence of coefficients ordered from low to high. + i.e., [1,2,3] is the series ``P_0 + 2*P_1 + 3*P_2.`` + + Parameters + ---------- + c : array_like + 1-D array of Laguerre series coefficients ordered from low to + high. + pow : integer + Power to which the series will be raised + maxpower : integer, optional + Maximum power allowed. This is mainly to limit growth of the series + to unmanageable size. Default is 16 + + Returns + ------- + coef : ndarray + Laguerre series of power. + + See Also + -------- + lagadd, lagsub, lagmulx, lagmul, lagdiv + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagpow + >>> lagpow([1, 2, 3], 2) + array([ 14., -16., 56., -72., 54.]) + + """ + return pu._pow(lagmul, c, pow, maxpower) + + +def lagder(c, m=1, scl=1, axis=0): + """ + Differentiate a Laguerre series. + + Returns the Laguerre series coefficients `c` differentiated `m` times + along `axis`. At each iteration the result is multiplied by `scl` (the + scaling factor is for use in a linear change of variable). The argument + `c` is an array of coefficients from low to high degree along each + axis, e.g., [1,2,3] represents the series ``1*L_0 + 2*L_1 + 3*L_2`` + while [[1,2],[1,2]] represents ``1*L_0(x)*L_0(y) + 1*L_1(x)*L_0(y) + + 2*L_0(x)*L_1(y) + 2*L_1(x)*L_1(y)`` if axis=0 is ``x`` and axis=1 is + ``y``. + + Parameters + ---------- + c : array_like + Array of Laguerre series coefficients. If `c` is multidimensional + the different axis correspond to different variables with the + degree in each axis given by the corresponding index. + m : int, optional + Number of derivatives taken, must be non-negative. (Default: 1) + scl : scalar, optional + Each differentiation is multiplied by `scl`. The end result is + multiplication by ``scl**m``. This is for use in a linear change of + variable. (Default: 1) + axis : int, optional + Axis over which the derivative is taken. (Default: 0). + + Returns + ------- + der : ndarray + Laguerre series of the derivative. + + See Also + -------- + lagint + + Notes + ----- + In general, the result of differentiating a Laguerre series does not + resemble the same operation on a power series. Thus the result of this + function may be "unintuitive," albeit correct; see Examples section + below. + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagder + >>> lagder([ 1., 1., 1., -3.]) + array([1., 2., 3.]) + >>> lagder([ 1., 0., 0., -4., 3.], m=2) + array([1., 2., 3.]) + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + + cnt = pu._as_int(m, "the order of derivation") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of derivation must be non-negative") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + c = np.moveaxis(c, iaxis, 0) + n = len(c) + if cnt >= n: + c = c[:1] * 0 + else: + for i in range(cnt): + n = n - 1 + c *= scl + der = np.empty((n,) + c.shape[1:], dtype=c.dtype) + for j in range(n, 1, -1): + der[j - 1] = -c[j] + c[j - 1] += c[j] + der[0] = -c[1] + c = der + c = np.moveaxis(c, 0, iaxis) + return c + + +def lagint(c, m=1, k=[], lbnd=0, scl=1, axis=0): + """ + Integrate a Laguerre series. + + Returns the Laguerre series coefficients `c` integrated `m` times from + `lbnd` along `axis`. At each iteration the resulting series is + **multiplied** by `scl` and an integration constant, `k`, is added. + The scaling factor is for use in a linear change of variable. ("Buyer + beware": note that, depending on what one is doing, one may want `scl` + to be the reciprocal of what one might expect; for more information, + see the Notes section below.) The argument `c` is an array of + coefficients from low to high degree along each axis, e.g., [1,2,3] + represents the series ``L_0 + 2*L_1 + 3*L_2`` while [[1,2],[1,2]] + represents ``1*L_0(x)*L_0(y) + 1*L_1(x)*L_0(y) + 2*L_0(x)*L_1(y) + + 2*L_1(x)*L_1(y)`` if axis=0 is ``x`` and axis=1 is ``y``. + + + Parameters + ---------- + c : array_like + Array of Laguerre series coefficients. If `c` is multidimensional + the different axis correspond to different variables with the + degree in each axis given by the corresponding index. + m : int, optional + Order of integration, must be positive. (Default: 1) + k : {[], list, scalar}, optional + Integration constant(s). The value of the first integral at + ``lbnd`` is the first value in the list, the value of the second + integral at ``lbnd`` is the second value, etc. If ``k == []`` (the + default), all constants are set to zero. If ``m == 1``, a single + scalar can be given instead of a list. + lbnd : scalar, optional + The lower bound of the integral. (Default: 0) + scl : scalar, optional + Following each integration the result is *multiplied* by `scl` + before the integration constant is added. (Default: 1) + axis : int, optional + Axis over which the integral is taken. (Default: 0). + + Returns + ------- + S : ndarray + Laguerre series coefficients of the integral. + + Raises + ------ + ValueError + If ``m < 0``, ``len(k) > m``, ``np.ndim(lbnd) != 0``, or + ``np.ndim(scl) != 0``. + + See Also + -------- + lagder + + Notes + ----- + Note that the result of each integration is *multiplied* by `scl`. + Why is this important to note? Say one is making a linear change of + variable :math:`u = ax + b` in an integral relative to `x`. Then + :math:`dx = du/a`, so one will need to set `scl` equal to + :math:`1/a` - perhaps not what one would have first thought. + + Also note that, in general, the result of integrating a C-series needs + to be "reprojected" onto the C-series basis set. Thus, typically, + the result of this function is "unintuitive," albeit correct; see + Examples section below. + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagint + >>> lagint([1,2,3]) + array([ 1., 1., 1., -3.]) + >>> lagint([1,2,3], m=2) + array([ 1., 0., 0., -4., 3.]) + >>> lagint([1,2,3], k=1) + array([ 2., 1., 1., -3.]) + >>> lagint([1,2,3], lbnd=-1) + array([11.5, 1. , 1. , -3. ]) + >>> lagint([1,2], m=2, k=[1,2], lbnd=-1) + array([ 11.16666667, -5. , -3. , 2. ]) # may vary + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + if not np.iterable(k): + k = [k] + cnt = pu._as_int(m, "the order of integration") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of integration must be non-negative") + if len(k) > cnt: + raise ValueError("Too many integration constants") + if np.ndim(lbnd) != 0: + raise ValueError("lbnd must be a scalar.") + if np.ndim(scl) != 0: + raise ValueError("scl must be a scalar.") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + c = np.moveaxis(c, iaxis, 0) + k = list(k) + [0] * (cnt - len(k)) + for i in range(cnt): + n = len(c) + c *= scl + if n == 1 and np.all(c[0] == 0): + c[0] += k[i] + else: + tmp = np.empty((n + 1,) + c.shape[1:], dtype=c.dtype) + tmp[0] = c[0] + tmp[1] = -c[0] + for j in range(1, n): + tmp[j] += c[j] + tmp[j + 1] = -c[j] + tmp[0] += k[i] - lagval(lbnd, tmp) + c = tmp + c = np.moveaxis(c, 0, iaxis) + return c + + +def lagval(x, c, tensor=True): + """ + Evaluate a Laguerre series at points x. + + If `c` is of length ``n + 1``, this function returns the value: + + .. math:: p(x) = c_0 * L_0(x) + c_1 * L_1(x) + ... + c_n * L_n(x) + + The parameter `x` is converted to an array only if it is a tuple or a + list, otherwise it is treated as a scalar. In either case, either `x` + or its elements must support multiplication and addition both with + themselves and with the elements of `c`. + + If `c` is a 1-D array, then ``p(x)`` will have the same shape as `x`. If + `c` is multidimensional, then the shape of the result depends on the + value of `tensor`. If `tensor` is true the shape will be c.shape[1:] + + x.shape. If `tensor` is false the shape will be c.shape[1:]. Note that + scalars have shape (,). + + Trailing zeros in the coefficients will be used in the evaluation, so + they should be avoided if efficiency is a concern. + + Parameters + ---------- + x : array_like, compatible object + If `x` is a list or tuple, it is converted to an ndarray, otherwise + it is left unchanged and treated as a scalar. In either case, `x` + or its elements must support addition and multiplication with + themselves and with the elements of `c`. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree n are contained in c[n]. If `c` is multidimensional the + remaining indices enumerate multiple polynomials. In the two + dimensional case the coefficients may be thought of as stored in + the columns of `c`. + tensor : boolean, optional + If True, the shape of the coefficient array is extended with ones + on the right, one for each dimension of `x`. Scalars have dimension 0 + for this action. The result is that every column of coefficients in + `c` is evaluated for every element of `x`. If False, `x` is broadcast + over the columns of `c` for the evaluation. This keyword is useful + when `c` is multidimensional. The default value is True. + + Returns + ------- + values : ndarray, algebra_like + The shape of the return value is described above. + + See Also + -------- + lagval2d, laggrid2d, lagval3d, laggrid3d + + Notes + ----- + The evaluation uses Clenshaw recursion, aka synthetic division. + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagval + >>> coef = [1, 2, 3] + >>> lagval(1, coef) + -0.5 + >>> lagval([[1, 2],[3, 4]], coef) + array([[-0.5, -4. ], + [-4.5, -2. ]]) + + """ + c = np.array(c, ndmin=1, copy=None) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + if isinstance(x, (tuple, list)): + x = np.asarray(x) + if isinstance(x, np.ndarray) and tensor: + c = c.reshape(c.shape + (1,) * x.ndim) + + if len(c) == 1: + c0 = c[0] + c1 = 0 + elif len(c) == 2: + c0 = c[0] + c1 = c[1] + else: + nd = len(c) + c0 = c[-2] + c1 = c[-1] + for i in range(3, len(c) + 1): + tmp = c0 + nd = nd - 1 + c0 = c[-i] - (c1 * (nd - 1)) / nd + c1 = tmp + (c1 * ((2 * nd - 1) - x)) / nd + return c0 + c1 * (1 - x) + + +def lagval2d(x, y, c): + """ + Evaluate a 2-D Laguerre series at points (x, y). + + This function returns the values: + + .. math:: p(x,y) = \\sum_{i,j} c_{i,j} * L_i(x) * L_j(y) + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars and they + must have the same shape after conversion. In either case, either `x` + and `y` or their elements must support multiplication and addition both + with themselves and with the elements of `c`. + + If `c` is a 1-D array a one is implicitly appended to its shape to make + it 2-D. The shape of the result will be c.shape[2:] + x.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points ``(x, y)``, + where `x` and `y` must have the same shape. If `x` or `y` is a list + or tuple, it is first converted to an ndarray, otherwise it is left + unchanged and if it isn't an ndarray it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term + of multi-degree i,j is contained in ``c[i,j]``. If `c` has + dimension greater than two the remaining indices enumerate multiple + sets of coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points formed with + pairs of corresponding values from `x` and `y`. + + See Also + -------- + lagval, laggrid2d, lagval3d, laggrid3d + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagval2d + >>> c = [[1, 2],[3, 4]] + >>> lagval2d(1, 1, c) + 1.0 + """ + return pu._valnd(lagval, c, x, y) + + +def laggrid2d(x, y, c): + """ + Evaluate a 2-D Laguerre series on the Cartesian product of x and y. + + This function returns the values: + + .. math:: p(a,b) = \\sum_{i,j} c_{i,j} * L_i(a) * L_j(b) + + where the points ``(a, b)`` consist of all pairs formed by taking + `a` from `x` and `b` from `y`. The resulting points form a grid with + `x` in the first dimension and `y` in the second. + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars. In either + case, either `x` and `y` or their elements must support multiplication + and addition both with themselves and with the elements of `c`. + + If `c` has fewer than two dimensions, ones are implicitly appended to + its shape to make it 2-D. The shape of the result will be c.shape[2:] + + x.shape + y.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points in the + Cartesian product of `x` and `y`. If `x` or `y` is a list or + tuple, it is first converted to an ndarray, otherwise it is left + unchanged and, if it isn't an ndarray, it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term of + multi-degree i,j is contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional Chebyshev series at points in the + Cartesian product of `x` and `y`. + + See Also + -------- + lagval, lagval2d, lagval3d, laggrid3d + + Examples + -------- + >>> from numpy.polynomial.laguerre import laggrid2d + >>> c = [[1, 2], [3, 4]] + >>> laggrid2d([0, 1], [0, 1], c) + array([[10., 4.], + [ 3., 1.]]) + + """ + return pu._gridnd(lagval, c, x, y) + + +def lagval3d(x, y, z, c): + """ + Evaluate a 3-D Laguerre series at points (x, y, z). + + This function returns the values: + + .. math:: p(x,y,z) = \\sum_{i,j,k} c_{i,j,k} * L_i(x) * L_j(y) * L_k(z) + + The parameters `x`, `y`, and `z` are converted to arrays only if + they are tuples or a lists, otherwise they are treated as a scalars and + they must have the same shape after conversion. In either case, either + `x`, `y`, and `z` or their elements must support multiplication and + addition both with themselves and with the elements of `c`. + + If `c` has fewer than 3 dimensions, ones are implicitly appended to its + shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape. + + Parameters + ---------- + x, y, z : array_like, compatible object + The three dimensional series is evaluated at the points + ``(x, y, z)``, where `x`, `y`, and `z` must have the same shape. If + any of `x`, `y`, or `z` is a list or tuple, it is first converted + to an ndarray, otherwise it is left unchanged and if it isn't an + ndarray it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term of + multi-degree i,j,k is contained in ``c[i,j,k]``. If `c` has dimension + greater than 3 the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the multidimensional polynomial on points formed with + triples of corresponding values from `x`, `y`, and `z`. + + See Also + -------- + lagval, lagval2d, laggrid2d, laggrid3d + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagval3d + >>> c = [[[1, 2], [3, 4]], [[5, 6], [7, 8]]] + >>> lagval3d(1, 1, 2, c) + -1.0 + + """ + return pu._valnd(lagval, c, x, y, z) + + +def laggrid3d(x, y, z, c): + """ + Evaluate a 3-D Laguerre series on the Cartesian product of x, y, and z. + + This function returns the values: + + .. math:: p(a,b,c) = \\sum_{i,j,k} c_{i,j,k} * L_i(a) * L_j(b) * L_k(c) + + where the points ``(a, b, c)`` consist of all triples formed by taking + `a` from `x`, `b` from `y`, and `c` from `z`. The resulting points form + a grid with `x` in the first dimension, `y` in the second, and `z` in + the third. + + The parameters `x`, `y`, and `z` are converted to arrays only if they + are tuples or a lists, otherwise they are treated as a scalars. In + either case, either `x`, `y`, and `z` or their elements must support + multiplication and addition both with themselves and with the elements + of `c`. + + If `c` has fewer than three dimensions, ones are implicitly appended to + its shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape + y.shape + z.shape. + + Parameters + ---------- + x, y, z : array_like, compatible objects + The three dimensional series is evaluated at the points in the + Cartesian product of `x`, `y`, and `z`. If `x`, `y`, or `z` is a + list or tuple, it is first converted to an ndarray, otherwise it is + left unchanged and, if it isn't an ndarray, it is treated as a + scalar. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree i,j are contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points in the Cartesian + product of `x` and `y`. + + See Also + -------- + lagval, lagval2d, laggrid2d, lagval3d + + Examples + -------- + >>> from numpy.polynomial.laguerre import laggrid3d + >>> c = [[[1, 2], [3, 4]], [[5, 6], [7, 8]]] + >>> laggrid3d([0, 1], [0, 1], [2, 4], c) + array([[[ -4., -44.], + [ -2., -18.]], + [[ -2., -14.], + [ -1., -5.]]]) + + """ + return pu._gridnd(lagval, c, x, y, z) + + +def lagvander(x, deg): + """Pseudo-Vandermonde matrix of given degree. + + Returns the pseudo-Vandermonde matrix of degree `deg` and sample points + `x`. The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., i] = L_i(x) + + where ``0 <= i <= deg``. The leading indices of `V` index the elements of + `x` and the last index is the degree of the Laguerre polynomial. + + If `c` is a 1-D array of coefficients of length ``n + 1`` and `V` is the + array ``V = lagvander(x, n)``, then ``np.dot(V, c)`` and + ``lagval(x, c)`` are the same up to roundoff. This equivalence is + useful both for least squares fitting and for the evaluation of a large + number of Laguerre series of the same degree and sample points. + + Parameters + ---------- + x : array_like + Array of points. The dtype is converted to float64 or complex128 + depending on whether any of the elements are complex. If `x` is + scalar it is converted to a 1-D array. + deg : int + Degree of the resulting matrix. + + Returns + ------- + vander : ndarray + The pseudo-Vandermonde matrix. The shape of the returned matrix is + ``x.shape + (deg + 1,)``, where The last index is the degree of the + corresponding Laguerre polynomial. The dtype will be the same as + the converted `x`. + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.laguerre import lagvander + >>> x = np.array([0, 1, 2]) + >>> lagvander(x, 3) + array([[ 1. , 1. , 1. , 1. ], + [ 1. , 0. , -0.5 , -0.66666667], + [ 1. , -1. , -1. , -0.33333333]]) + + """ + ideg = pu._as_int(deg, "deg") + if ideg < 0: + raise ValueError("deg must be non-negative") + + x = np.array(x, copy=None, ndmin=1) + 0.0 + dims = (ideg + 1,) + x.shape + dtyp = x.dtype + v = np.empty(dims, dtype=dtyp) + v[0] = x * 0 + 1 + if ideg > 0: + v[1] = 1 - x + for i in range(2, ideg + 1): + v[i] = (v[i - 1] * (2 * i - 1 - x) - v[i - 2] * (i - 1)) / i + return np.moveaxis(v, 0, -1) + + +def lagvander2d(x, y, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y)``. The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (deg[1] + 1)*i + j] = L_i(x) * L_j(y), + + where ``0 <= i <= deg[0]`` and ``0 <= j <= deg[1]``. The leading indices of + `V` index the points ``(x, y)`` and the last index encodes the degrees of + the Laguerre polynomials. + + If ``V = lagvander2d(x, y, [xdeg, ydeg])``, then the columns of `V` + correspond to the elements of a 2-D coefficient array `c` of shape + (xdeg + 1, ydeg + 1) in the order + + .. math:: c_{00}, c_{01}, c_{02}, ... , c_{10}, c_{11}, c_{12}, ... + + and ``np.dot(V, c.flat)`` and ``lagval2d(x, y, c)`` will be the same + up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 2-D Laguerre + series of the same degrees and sample points. + + Parameters + ---------- + x, y : array_like + Arrays of point coordinates, all of the same shape. The dtypes + will be converted to either float64 or complex128 depending on + whether any of the elements are complex. Scalars are converted to + 1-D arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg]. + + Returns + ------- + vander2d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg[1]+1)`. The dtype will be the same + as the converted `x` and `y`. + + See Also + -------- + lagvander, lagvander3d, lagval2d, lagval3d + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.laguerre import lagvander2d + >>> x = np.array([0]) + >>> y = np.array([2]) + >>> lagvander2d(x, y, [2, 1]) + array([[ 1., -1., 1., -1., 1., -1.]]) + + """ + return pu._vander_nd_flat((lagvander, lagvander), (x, y), deg) + + +def lagvander3d(x, y, z, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y, z)``. If `l`, `m`, `n` are the given degrees in `x`, `y`, `z`, + then The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (m+1)(n+1)i + (n+1)j + k] = L_i(x)*L_j(y)*L_k(z), + + where ``0 <= i <= l``, ``0 <= j <= m``, and ``0 <= j <= n``. The leading + indices of `V` index the points ``(x, y, z)`` and the last index encodes + the degrees of the Laguerre polynomials. + + If ``V = lagvander3d(x, y, z, [xdeg, ydeg, zdeg])``, then the columns + of `V` correspond to the elements of a 3-D coefficient array `c` of + shape (xdeg + 1, ydeg + 1, zdeg + 1) in the order + + .. math:: c_{000}, c_{001}, c_{002},... , c_{010}, c_{011}, c_{012},... + + and ``np.dot(V, c.flat)`` and ``lagval3d(x, y, z, c)`` will be the + same up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 3-D Laguerre + series of the same degrees and sample points. + + Parameters + ---------- + x, y, z : array_like + Arrays of point coordinates, all of the same shape. The dtypes will + be converted to either float64 or complex128 depending on whether + any of the elements are complex. Scalars are converted to 1-D + arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg, z_deg]. + + Returns + ------- + vander3d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg[1]+1)*(deg[2]+1)`. The dtype will + be the same as the converted `x`, `y`, and `z`. + + See Also + -------- + lagvander, lagvander3d, lagval2d, lagval3d + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.laguerre import lagvander3d + >>> x = np.array([0]) + >>> y = np.array([2]) + >>> z = np.array([0]) + >>> lagvander3d(x, y, z, [2, 1, 3]) + array([[ 1., 1., 1., 1., -1., -1., -1., -1., 1., 1., 1., 1., -1., + -1., -1., -1., 1., 1., 1., 1., -1., -1., -1., -1.]]) + + """ + return pu._vander_nd_flat((lagvander, lagvander, lagvander), (x, y, z), deg) + + +def lagfit(x, y, deg, rcond=None, full=False, w=None): + """ + Least squares fit of Laguerre series to data. + + Return the coefficients of a Laguerre series of degree `deg` that is the + least squares fit to the data values `y` given at points `x`. If `y` is + 1-D the returned coefficients will also be 1-D. If `y` is 2-D multiple + fits are done, one for each column of `y`, and the resulting + coefficients are stored in the corresponding columns of a 2-D return. + The fitted polynomial(s) are in the form + + .. math:: p(x) = c_0 + c_1 * L_1(x) + ... + c_n * L_n(x), + + where ``n`` is `deg`. + + Parameters + ---------- + x : array_like, shape (M,) + x-coordinates of the M sample points ``(x[i], y[i])``. + y : array_like, shape (M,) or (M, K) + y-coordinates of the sample points. Several data sets of sample + points sharing the same x-coordinates can be fitted at once by + passing in a 2D-array that contains one dataset per column. + deg : int or 1-D array_like + Degree(s) of the fitting polynomials. If `deg` is a single integer + all terms up to and including the `deg`'th term are included in the + fit. For NumPy versions >= 1.11.0 a list of integers specifying the + degrees of the terms to include may be used instead. + rcond : float, optional + Relative condition number of the fit. Singular values smaller than + this relative to the largest singular value will be ignored. The + default value is len(x)*eps, where eps is the relative precision of + the float type, about 2e-16 in most cases. + full : bool, optional + Switch determining nature of return value. When it is False (the + default) just the coefficients are returned, when True diagnostic + information from the singular value decomposition is also returned. + w : array_like, shape (`M`,), optional + Weights. If not None, the weight ``w[i]`` applies to the unsquared + residual ``y[i] - y_hat[i]`` at ``x[i]``. Ideally the weights are + chosen so that the errors of the products ``w[i]*y[i]`` all have the + same variance. When using inverse-variance weighting, use + ``w[i] = 1/sigma(y[i])``. The default value is None. + + Returns + ------- + coef : ndarray, shape (M,) or (M, K) + Laguerre coefficients ordered from low to high. If `y` was 2-D, + the coefficients for the data in column *k* of `y` are in column + *k*. + + [residuals, rank, singular_values, rcond] : list + These values are only returned if ``full == True`` + + - residuals -- sum of squared residuals of the least squares fit + - rank -- the numerical rank of the scaled Vandermonde matrix + - singular_values -- singular values of the scaled Vandermonde matrix + - rcond -- value of `rcond`. + + For more details, see `numpy.linalg.lstsq`. + + Warns + ----- + RankWarning + The rank of the coefficient matrix in the least-squares fit is + deficient. The warning is only raised if ``full == False``. The + warnings can be turned off by + + >>> import warnings + >>> warnings.simplefilter('ignore', np.exceptions.RankWarning) + + See Also + -------- + numpy.polynomial.polynomial.polyfit + numpy.polynomial.legendre.legfit + numpy.polynomial.chebyshev.chebfit + numpy.polynomial.hermite.hermfit + numpy.polynomial.hermite_e.hermefit + lagval : Evaluates a Laguerre series. + lagvander : pseudo Vandermonde matrix of Laguerre series. + lagweight : Laguerre weight function. + numpy.linalg.lstsq : Computes a least-squares fit from the matrix. + scipy.interpolate.UnivariateSpline : Computes spline fits. + + Notes + ----- + The solution is the coefficients of the Laguerre series ``p`` that + minimizes the sum of the weighted squared errors + + .. math:: E = \\sum_j w_j^2 * |y_j - p(x_j)|^2, + + where the :math:`w_j` are the weights. This problem is solved by + setting up as the (typically) overdetermined matrix equation + + .. math:: V(x) * c = w * y, + + where ``V`` is the weighted pseudo Vandermonde matrix of `x`, ``c`` are the + coefficients to be solved for, `w` are the weights, and `y` are the + observed values. This equation is then solved using the singular value + decomposition of ``V``. + + If some of the singular values of `V` are so small that they are + neglected, then a `~exceptions.RankWarning` will be issued. This means that + the coefficient values may be poorly determined. Using a lower order fit + will usually get rid of the warning. The `rcond` parameter can also be + set to a value smaller than its default, but the resulting fit may be + spurious and have large contributions from roundoff error. + + Fits using Laguerre series are probably most useful when the data can + be approximated by ``sqrt(w(x)) * p(x)``, where ``w(x)`` is the Laguerre + weight. In that case the weight ``sqrt(w(x[i]))`` should be used + together with data values ``y[i]/sqrt(w(x[i]))``. The weight function is + available as `lagweight`. + + References + ---------- + .. [1] Wikipedia, "Curve fitting", + https://en.wikipedia.org/wiki/Curve_fitting + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.laguerre import lagfit, lagval + >>> x = np.linspace(0, 10) + >>> rng = np.random.default_rng() + >>> err = rng.normal(scale=1./10, size=len(x)) + >>> y = lagval(x, [1, 2, 3]) + err + >>> lagfit(x, y, 2) + array([1.00578369, 1.99417356, 2.99827656]) # may vary + + """ + return pu._fit(lagvander, x, y, deg, rcond, full, w) + + +def lagcompanion(c): + """ + Return the companion matrix of c. + + The usual companion matrix of the Laguerre polynomials is already + symmetric when `c` is a basis Laguerre polynomial, so no scaling is + applied. + + Parameters + ---------- + c : array_like + 1-D array of Laguerre series coefficients ordered from low to high + degree. + + Returns + ------- + mat : ndarray + Companion matrix of dimensions (deg, deg). + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagcompanion + >>> lagcompanion([1, 2, 3]) + array([[ 1. , -0.33333333], + [-1. , 4.33333333]]) + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) < 2: + raise ValueError('Series must have maximum degree of at least 1.') + if len(c) == 2: + return np.array([[1 + c[0] / c[1]]]) + + n = len(c) - 1 + mat = np.zeros((n, n), dtype=c.dtype) + top = mat.reshape(-1)[1::n + 1] + mid = mat.reshape(-1)[0::n + 1] + bot = mat.reshape(-1)[n::n + 1] + top[...] = -np.arange(1, n) + mid[...] = 2. * np.arange(n) + 1. + bot[...] = top + mat[:, -1] += (c[:-1] / c[-1]) * n + return mat + + +def lagroots(c): + """ + Compute the roots of a Laguerre series. + + Return the roots (a.k.a. "zeros") of the polynomial + + .. math:: p(x) = \\sum_i c[i] * L_i(x). + + Parameters + ---------- + c : 1-D array_like + 1-D array of coefficients. + + Returns + ------- + out : ndarray + Array of the roots of the series. If all the roots are real, + then `out` is also real, otherwise it is complex. + + See Also + -------- + numpy.polynomial.polynomial.polyroots + numpy.polynomial.legendre.legroots + numpy.polynomial.chebyshev.chebroots + numpy.polynomial.hermite.hermroots + numpy.polynomial.hermite_e.hermeroots + + Notes + ----- + The root estimates are obtained as the eigenvalues of the companion + matrix, Roots far from the origin of the complex plane may have large + errors due to the numerical instability of the series for such + values. Roots with multiplicity greater than 1 will also show larger + errors as the value of the series near such points is relatively + insensitive to errors in the roots. Isolated roots near the origin can + be improved by a few iterations of Newton's method. + + The Laguerre series basis polynomials aren't powers of `x` so the + results of this function may seem unintuitive. + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagroots, lagfromroots + >>> coef = lagfromroots([0, 1, 2]) + >>> coef + array([ 2., -8., 12., -6.]) + >>> lagroots(coef) + array([-4.4408921e-16, 1.0000000e+00, 2.0000000e+00]) + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) <= 1: + return np.array([], dtype=c.dtype) + if len(c) == 2: + return np.array([1 + c[0] / c[1]]) + + # rotated companion matrix reduces error + m = lagcompanion(c)[::-1, ::-1] + r = np.linalg.eigvals(m) + r.sort() + return r + + +def laggauss(deg): + """ + Gauss-Laguerre quadrature. + + Computes the sample points and weights for Gauss-Laguerre quadrature. + These sample points and weights will correctly integrate polynomials of + degree :math:`2*deg - 1` or less over the interval :math:`[0, \\inf]` + with the weight function :math:`f(x) = \\exp(-x)`. + + Parameters + ---------- + deg : int + Number of sample points and weights. It must be >= 1. + + Returns + ------- + x : ndarray + 1-D ndarray containing the sample points. + y : ndarray + 1-D ndarray containing the weights. + + Notes + ----- + The results have only been tested up to degree 100 higher degrees may + be problematic. The weights are determined by using the fact that + + .. math:: w_k = c / (L'_n(x_k) * L_{n-1}(x_k)) + + where :math:`c` is a constant independent of :math:`k` and :math:`x_k` + is the k'th root of :math:`L_n`, and then scaling the results to get + the right value when integrating 1. + + Examples + -------- + >>> from numpy.polynomial.laguerre import laggauss + >>> laggauss(2) + (array([0.58578644, 3.41421356]), array([0.85355339, 0.14644661])) + + """ + ideg = pu._as_int(deg, "deg") + if ideg <= 0: + raise ValueError("deg must be a positive integer") + + # first approximation of roots. We use the fact that the companion + # matrix is symmetric in this case in order to obtain better zeros. + c = np.array([0] * deg + [1]) + m = lagcompanion(c) + x = np.linalg.eigvalsh(m) + + # improve roots by one application of Newton + dy = lagval(x, c) + df = lagval(x, lagder(c)) + x -= dy / df + + # compute the weights. We scale the factor to avoid possible numerical + # overflow. + fm = lagval(x, c[1:]) + fm /= np.abs(fm).max() + df /= np.abs(df).max() + w = 1 / (fm * df) + + # scale w to get the right value, 1 in this case + w /= w.sum() + + return x, w + + +def lagweight(x): + """Weight function of the Laguerre polynomials. + + The weight function is :math:`exp(-x)` and the interval of integration + is :math:`[0, \\inf]`. The Laguerre polynomials are orthogonal, but not + normalized, with respect to this weight function. + + Parameters + ---------- + x : array_like + Values at which the weight function will be computed. + + Returns + ------- + w : ndarray + The weight function at `x`. + + Examples + -------- + >>> from numpy.polynomial.laguerre import lagweight + >>> x = np.array([0, 1, 2]) + >>> lagweight(x) + array([1. , 0.36787944, 0.13533528]) + + """ + w = np.exp(-x) + return w + +# +# Laguerre series class +# + +class Laguerre(ABCPolyBase): + """A Laguerre series class. + + The Laguerre class provides the standard Python numerical methods + '+', '-', '*', '//', '%', 'divmod', '**', and '()' as well as the + attributes and methods listed below. + + Parameters + ---------- + coef : array_like + Laguerre coefficients in order of increasing degree, i.e, + ``(1, 2, 3)`` gives ``1*L_0(x) + 2*L_1(X) + 3*L_2(x)``. + domain : (2,) array_like, optional + Domain to use. The interval ``[domain[0], domain[1]]`` is mapped + to the interval ``[window[0], window[1]]`` by shifting and scaling. + The default value is [0., 1.]. + window : (2,) array_like, optional + Window, see `domain` for its use. The default value is [0., 1.]. + symbol : str, optional + Symbol used to represent the independent variable in string + representations of the polynomial expression, e.g. for printing. + The symbol must be a valid Python identifier. Default value is 'x'. + + .. versionadded:: 1.24 + + """ + # Virtual Functions + _add = staticmethod(lagadd) + _sub = staticmethod(lagsub) + _mul = staticmethod(lagmul) + _div = staticmethod(lagdiv) + _pow = staticmethod(lagpow) + _val = staticmethod(lagval) + _int = staticmethod(lagint) + _der = staticmethod(lagder) + _fit = staticmethod(lagfit) + _line = staticmethod(lagline) + _roots = staticmethod(lagroots) + _fromroots = staticmethod(lagfromroots) + + # Virtual properties + domain = np.array(lagdomain) + window = np.array(lagdomain) + basis_name = 'L' diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/laguerre.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/laguerre.pyi new file mode 100644 index 0000000000000000000000000000000000000000..8b70b899ed591fb747f965289c0510ac8489abdb --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/laguerre.pyi @@ -0,0 +1,100 @@ +from typing import Any, ClassVar, Final, Literal as L + +import numpy as np + +from ._polybase import ABCPolyBase +from ._polytypes import ( + _Array1, + _Array2, + _FuncBinOp, + _FuncCompanion, + _FuncDer, + _FuncFit, + _FuncFromRoots, + _FuncGauss, + _FuncInteg, + _FuncLine, + _FuncPoly2Ortho, + _FuncPow, + _FuncRoots, + _FuncUnOp, + _FuncVal, + _FuncVal2D, + _FuncVal3D, + _FuncVander, + _FuncVander2D, + _FuncVander3D, + _FuncWeight, +) +from .polyutils import trimcoef as lagtrim + +__all__ = [ + "lagzero", + "lagone", + "lagx", + "lagdomain", + "lagline", + "lagadd", + "lagsub", + "lagmulx", + "lagmul", + "lagdiv", + "lagpow", + "lagval", + "lagder", + "lagint", + "lag2poly", + "poly2lag", + "lagfromroots", + "lagvander", + "lagfit", + "lagtrim", + "lagroots", + "Laguerre", + "lagval2d", + "lagval3d", + "laggrid2d", + "laggrid3d", + "lagvander2d", + "lagvander3d", + "lagcompanion", + "laggauss", + "lagweight", +] + +poly2lag: Final[_FuncPoly2Ortho] = ... +lag2poly: Final[_FuncUnOp] = ... + +lagdomain: Final[_Array2[np.float64]] = ... +lagzero: Final[_Array1[np.int_]] = ... +lagone: Final[_Array1[np.int_]] = ... +lagx: Final[_Array2[np.int_]] = ... + +lagline: Final[_FuncLine] = ... +lagfromroots: Final[_FuncFromRoots] = ... +lagadd: Final[_FuncBinOp] = ... +lagsub: Final[_FuncBinOp] = ... +lagmulx: Final[_FuncUnOp] = ... +lagmul: Final[_FuncBinOp] = ... +lagdiv: Final[_FuncBinOp] = ... +lagpow: Final[_FuncPow] = ... +lagder: Final[_FuncDer] = ... +lagint: Final[_FuncInteg] = ... +lagval: Final[_FuncVal] = ... +lagval2d: Final[_FuncVal2D] = ... +lagval3d: Final[_FuncVal3D] = ... +laggrid2d: Final[_FuncVal2D] = ... +laggrid3d: Final[_FuncVal3D] = ... +lagvander: Final[_FuncVander] = ... +lagvander2d: Final[_FuncVander2D] = ... +lagvander3d: Final[_FuncVander3D] = ... +lagfit: Final[_FuncFit] = ... +lagcompanion: Final[_FuncCompanion] = ... +lagroots: Final[_FuncRoots] = ... +laggauss: Final[_FuncGauss] = ... +lagweight: Final[_FuncWeight] = ... + +class Laguerre(ABCPolyBase[L["L"]]): + basis_name: ClassVar[L["L"]] = "L" # pyright: ignore[reportIncompatibleMethodOverride] + domain: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] + window: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/legendre.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/legendre.py new file mode 100644 index 0000000000000000000000000000000000000000..237e340cbf4505b261f054a14b59f3b8520aea41 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/legendre.py @@ -0,0 +1,1603 @@ +""" +================================================== +Legendre Series (:mod:`numpy.polynomial.legendre`) +================================================== + +This module provides a number of objects (mostly functions) useful for +dealing with Legendre series, including a `Legendre` class that +encapsulates the usual arithmetic operations. (General information +on how this module represents and works with such polynomials is in the +docstring for its "parent" sub-package, `numpy.polynomial`). + +Classes +------- +.. autosummary:: + :toctree: generated/ + + Legendre + +Constants +--------- + +.. autosummary:: + :toctree: generated/ + + legdomain + legzero + legone + legx + +Arithmetic +---------- + +.. autosummary:: + :toctree: generated/ + + legadd + legsub + legmulx + legmul + legdiv + legpow + legval + legval2d + legval3d + leggrid2d + leggrid3d + +Calculus +-------- + +.. autosummary:: + :toctree: generated/ + + legder + legint + +Misc Functions +-------------- + +.. autosummary:: + :toctree: generated/ + + legfromroots + legroots + legvander + legvander2d + legvander3d + leggauss + legweight + legcompanion + legfit + legtrim + legline + leg2poly + poly2leg + +See also +-------- +numpy.polynomial + +""" +import numpy as np + +from . import polyutils as pu +from ._polybase import ABCPolyBase + +__all__ = [ + 'legzero', 'legone', 'legx', 'legdomain', 'legline', 'legadd', + 'legsub', 'legmulx', 'legmul', 'legdiv', 'legpow', 'legval', 'legder', + 'legint', 'leg2poly', 'poly2leg', 'legfromroots', 'legvander', + 'legfit', 'legtrim', 'legroots', 'Legendre', 'legval2d', 'legval3d', + 'leggrid2d', 'leggrid3d', 'legvander2d', 'legvander3d', 'legcompanion', + 'leggauss', 'legweight'] + +legtrim = pu.trimcoef + + +def poly2leg(pol): + """ + Convert a polynomial to a Legendre series. + + Convert an array representing the coefficients of a polynomial (relative + to the "standard" basis) ordered from lowest degree to highest, to an + array of the coefficients of the equivalent Legendre series, ordered + from lowest to highest degree. + + Parameters + ---------- + pol : array_like + 1-D array containing the polynomial coefficients + + Returns + ------- + c : ndarray + 1-D array containing the coefficients of the equivalent Legendre + series. + + See Also + -------- + leg2poly + + Notes + ----- + The easy way to do conversions between polynomial basis sets + is to use the convert method of a class instance. + + Examples + -------- + >>> import numpy as np + >>> from numpy import polynomial as P + >>> p = P.Polynomial(np.arange(4)) + >>> p + Polynomial([0., 1., 2., 3.], domain=[-1., 1.], window=[-1., 1.], ... + >>> c = P.Legendre(P.legendre.poly2leg(p.coef)) + >>> c + Legendre([ 1. , 3.25, 1. , 0.75], domain=[-1, 1], window=[-1, 1]) # may vary + + """ + [pol] = pu.as_series([pol]) + deg = len(pol) - 1 + res = 0 + for i in range(deg, -1, -1): + res = legadd(legmulx(res), pol[i]) + return res + + +def leg2poly(c): + """ + Convert a Legendre series to a polynomial. + + Convert an array representing the coefficients of a Legendre series, + ordered from lowest degree to highest, to an array of the coefficients + of the equivalent polynomial (relative to the "standard" basis) ordered + from lowest to highest degree. + + Parameters + ---------- + c : array_like + 1-D array containing the Legendre series coefficients, ordered + from lowest order term to highest. + + Returns + ------- + pol : ndarray + 1-D array containing the coefficients of the equivalent polynomial + (relative to the "standard" basis) ordered from lowest order term + to highest. + + See Also + -------- + poly2leg + + Notes + ----- + The easy way to do conversions between polynomial basis sets + is to use the convert method of a class instance. + + Examples + -------- + >>> from numpy import polynomial as P + >>> c = P.Legendre(range(4)) + >>> c + Legendre([0., 1., 2., 3.], domain=[-1., 1.], window=[-1., 1.], symbol='x') + >>> p = c.convert(kind=P.Polynomial) + >>> p + Polynomial([-1. , -3.5, 3. , 7.5], domain=[-1., 1.], window=[-1., ... + >>> P.legendre.leg2poly(range(4)) + array([-1. , -3.5, 3. , 7.5]) + + + """ + from .polynomial import polyadd, polymulx, polysub + + [c] = pu.as_series([c]) + n = len(c) + if n < 3: + return c + else: + c0 = c[-2] + c1 = c[-1] + # i is the current degree of c1 + for i in range(n - 1, 1, -1): + tmp = c0 + c0 = polysub(c[i - 2], (c1 * (i - 1)) / i) + c1 = polyadd(tmp, (polymulx(c1) * (2 * i - 1)) / i) + return polyadd(c0, polymulx(c1)) + + +# +# These are constant arrays are of integer type so as to be compatible +# with the widest range of other types, such as Decimal. +# + +# Legendre +legdomain = np.array([-1., 1.]) + +# Legendre coefficients representing zero. +legzero = np.array([0]) + +# Legendre coefficients representing one. +legone = np.array([1]) + +# Legendre coefficients representing the identity x. +legx = np.array([0, 1]) + + +def legline(off, scl): + """ + Legendre series whose graph is a straight line. + + + + Parameters + ---------- + off, scl : scalars + The specified line is given by ``off + scl*x``. + + Returns + ------- + y : ndarray + This module's representation of the Legendre series for + ``off + scl*x``. + + See Also + -------- + numpy.polynomial.polynomial.polyline + numpy.polynomial.chebyshev.chebline + numpy.polynomial.laguerre.lagline + numpy.polynomial.hermite.hermline + numpy.polynomial.hermite_e.hermeline + + Examples + -------- + >>> import numpy.polynomial.legendre as L + >>> L.legline(3,2) + array([3, 2]) + >>> L.legval(-3, L.legline(3,2)) # should be -3 + -3.0 + + """ + if scl != 0: + return np.array([off, scl]) + else: + return np.array([off]) + + +def legfromroots(roots): + """ + Generate a Legendre series with given roots. + + The function returns the coefficients of the polynomial + + .. math:: p(x) = (x - r_0) * (x - r_1) * ... * (x - r_n), + + in Legendre form, where the :math:`r_n` are the roots specified in `roots`. + If a zero has multiplicity n, then it must appear in `roots` n times. + For instance, if 2 is a root of multiplicity three and 3 is a root of + multiplicity 2, then `roots` looks something like [2, 2, 2, 3, 3]. The + roots can appear in any order. + + If the returned coefficients are `c`, then + + .. math:: p(x) = c_0 + c_1 * L_1(x) + ... + c_n * L_n(x) + + The coefficient of the last term is not generally 1 for monic + polynomials in Legendre form. + + Parameters + ---------- + roots : array_like + Sequence containing the roots. + + Returns + ------- + out : ndarray + 1-D array of coefficients. If all roots are real then `out` is a + real array, if some of the roots are complex, then `out` is complex + even if all the coefficients in the result are real (see Examples + below). + + See Also + -------- + numpy.polynomial.polynomial.polyfromroots + numpy.polynomial.chebyshev.chebfromroots + numpy.polynomial.laguerre.lagfromroots + numpy.polynomial.hermite.hermfromroots + numpy.polynomial.hermite_e.hermefromroots + + Examples + -------- + >>> import numpy.polynomial.legendre as L + >>> L.legfromroots((-1,0,1)) # x^3 - x relative to the standard basis + array([ 0. , -0.4, 0. , 0.4]) + >>> j = complex(0,1) + >>> L.legfromroots((-j,j)) # x^2 + 1 relative to the standard basis + array([ 1.33333333+0.j, 0.00000000+0.j, 0.66666667+0.j]) # may vary + + """ + return pu._fromroots(legline, legmul, roots) + + +def legadd(c1, c2): + """ + Add one Legendre series to another. + + Returns the sum of two Legendre series `c1` + `c2`. The arguments + are sequences of coefficients ordered from lowest order term to + highest, i.e., [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Legendre series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Array representing the Legendre series of their sum. + + See Also + -------- + legsub, legmulx, legmul, legdiv, legpow + + Notes + ----- + Unlike multiplication, division, etc., the sum of two Legendre series + is a Legendre series (without having to "reproject" the result onto + the basis set) so addition, just like that of "standard" polynomials, + is simply "component-wise." + + Examples + -------- + >>> from numpy.polynomial import legendre as L + >>> c1 = (1,2,3) + >>> c2 = (3,2,1) + >>> L.legadd(c1,c2) + array([4., 4., 4.]) + + """ + return pu._add(c1, c2) + + +def legsub(c1, c2): + """ + Subtract one Legendre series from another. + + Returns the difference of two Legendre series `c1` - `c2`. The + sequences of coefficients are from lowest order term to highest, i.e., + [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Legendre series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Of Legendre series coefficients representing their difference. + + See Also + -------- + legadd, legmulx, legmul, legdiv, legpow + + Notes + ----- + Unlike multiplication, division, etc., the difference of two Legendre + series is a Legendre series (without having to "reproject" the result + onto the basis set) so subtraction, just like that of "standard" + polynomials, is simply "component-wise." + + Examples + -------- + >>> from numpy.polynomial import legendre as L + >>> c1 = (1,2,3) + >>> c2 = (3,2,1) + >>> L.legsub(c1,c2) + array([-2., 0., 2.]) + >>> L.legsub(c2,c1) # -C.legsub(c1,c2) + array([ 2., 0., -2.]) + + """ + return pu._sub(c1, c2) + + +def legmulx(c): + """Multiply a Legendre series by x. + + Multiply the Legendre series `c` by x, where x is the independent + variable. + + + Parameters + ---------- + c : array_like + 1-D array of Legendre series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Array representing the result of the multiplication. + + See Also + -------- + legadd, legsub, legmul, legdiv, legpow + + Notes + ----- + The multiplication uses the recursion relationship for Legendre + polynomials in the form + + .. math:: + + xP_i(x) = ((i + 1)*P_{i + 1}(x) + i*P_{i - 1}(x))/(2i + 1) + + Examples + -------- + >>> from numpy.polynomial import legendre as L + >>> L.legmulx([1,2,3]) + array([ 0.66666667, 2.2, 1.33333333, 1.8]) # may vary + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + # The zero series needs special treatment + if len(c) == 1 and c[0] == 0: + return c + + prd = np.empty(len(c) + 1, dtype=c.dtype) + prd[0] = c[0] * 0 + prd[1] = c[0] + for i in range(1, len(c)): + j = i + 1 + k = i - 1 + s = i + j + prd[j] = (c[i] * j) / s + prd[k] += (c[i] * i) / s + return prd + + +def legmul(c1, c2): + """ + Multiply one Legendre series by another. + + Returns the product of two Legendre series `c1` * `c2`. The arguments + are sequences of coefficients, from lowest order "term" to highest, + e.g., [1,2,3] represents the series ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Legendre series coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Of Legendre series coefficients representing their product. + + See Also + -------- + legadd, legsub, legmulx, legdiv, legpow + + Notes + ----- + In general, the (polynomial) product of two C-series results in terms + that are not in the Legendre polynomial basis set. Thus, to express + the product as a Legendre series, it is necessary to "reproject" the + product onto said basis set, which may produce "unintuitive" (but + correct) results; see Examples section below. + + Examples + -------- + >>> from numpy.polynomial import legendre as L + >>> c1 = (1,2,3) + >>> c2 = (3,2) + >>> L.legmul(c1,c2) # multiplication requires "reprojection" + array([ 4.33333333, 10.4 , 11.66666667, 3.6 ]) # may vary + + """ + # s1, s2 are trimmed copies + [c1, c2] = pu.as_series([c1, c2]) + + if len(c1) > len(c2): + c = c2 + xs = c1 + else: + c = c1 + xs = c2 + + if len(c) == 1: + c0 = c[0] * xs + c1 = 0 + elif len(c) == 2: + c0 = c[0] * xs + c1 = c[1] * xs + else: + nd = len(c) + c0 = c[-2] * xs + c1 = c[-1] * xs + for i in range(3, len(c) + 1): + tmp = c0 + nd = nd - 1 + c0 = legsub(c[-i] * xs, (c1 * (nd - 1)) / nd) + c1 = legadd(tmp, (legmulx(c1) * (2 * nd - 1)) / nd) + return legadd(c0, legmulx(c1)) + + +def legdiv(c1, c2): + """ + Divide one Legendre series by another. + + Returns the quotient-with-remainder of two Legendre series + `c1` / `c2`. The arguments are sequences of coefficients from lowest + order "term" to highest, e.g., [1,2,3] represents the series + ``P_0 + 2*P_1 + 3*P_2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of Legendre series coefficients ordered from low to + high. + + Returns + ------- + quo, rem : ndarrays + Of Legendre series coefficients representing the quotient and + remainder. + + See Also + -------- + legadd, legsub, legmulx, legmul, legpow + + Notes + ----- + In general, the (polynomial) division of one Legendre series by another + results in quotient and remainder terms that are not in the Legendre + polynomial basis set. Thus, to express these results as a Legendre + series, it is necessary to "reproject" the results onto the Legendre + basis set, which may produce "unintuitive" (but correct) results; see + Examples section below. + + Examples + -------- + >>> from numpy.polynomial import legendre as L + >>> c1 = (1,2,3) + >>> c2 = (3,2,1) + >>> L.legdiv(c1,c2) # quotient "intuitive," remainder not + (array([3.]), array([-8., -4.])) + >>> c2 = (0,1,2,3) + >>> L.legdiv(c2,c1) # neither "intuitive" + (array([-0.07407407, 1.66666667]), array([-1.03703704, -2.51851852])) # may vary + + """ + return pu._div(legmul, c1, c2) + + +def legpow(c, pow, maxpower=16): + """Raise a Legendre series to a power. + + Returns the Legendre series `c` raised to the power `pow`. The + argument `c` is a sequence of coefficients ordered from low to high. + i.e., [1,2,3] is the series ``P_0 + 2*P_1 + 3*P_2.`` + + Parameters + ---------- + c : array_like + 1-D array of Legendre series coefficients ordered from low to + high. + pow : integer + Power to which the series will be raised + maxpower : integer, optional + Maximum power allowed. This is mainly to limit growth of the series + to unmanageable size. Default is 16 + + Returns + ------- + coef : ndarray + Legendre series of power. + + See Also + -------- + legadd, legsub, legmulx, legmul, legdiv + + """ + return pu._pow(legmul, c, pow, maxpower) + + +def legder(c, m=1, scl=1, axis=0): + """ + Differentiate a Legendre series. + + Returns the Legendre series coefficients `c` differentiated `m` times + along `axis`. At each iteration the result is multiplied by `scl` (the + scaling factor is for use in a linear change of variable). The argument + `c` is an array of coefficients from low to high degree along each + axis, e.g., [1,2,3] represents the series ``1*L_0 + 2*L_1 + 3*L_2`` + while [[1,2],[1,2]] represents ``1*L_0(x)*L_0(y) + 1*L_1(x)*L_0(y) + + 2*L_0(x)*L_1(y) + 2*L_1(x)*L_1(y)`` if axis=0 is ``x`` and axis=1 is + ``y``. + + Parameters + ---------- + c : array_like + Array of Legendre series coefficients. If c is multidimensional the + different axis correspond to different variables with the degree in + each axis given by the corresponding index. + m : int, optional + Number of derivatives taken, must be non-negative. (Default: 1) + scl : scalar, optional + Each differentiation is multiplied by `scl`. The end result is + multiplication by ``scl**m``. This is for use in a linear change of + variable. (Default: 1) + axis : int, optional + Axis over which the derivative is taken. (Default: 0). + + Returns + ------- + der : ndarray + Legendre series of the derivative. + + See Also + -------- + legint + + Notes + ----- + In general, the result of differentiating a Legendre series does not + resemble the same operation on a power series. Thus the result of this + function may be "unintuitive," albeit correct; see Examples section + below. + + Examples + -------- + >>> from numpy.polynomial import legendre as L + >>> c = (1,2,3,4) + >>> L.legder(c) + array([ 6., 9., 20.]) + >>> L.legder(c, 3) + array([60.]) + >>> L.legder(c, scl=-1) + array([ -6., -9., -20.]) + >>> L.legder(c, 2,-1) + array([ 9., 60.]) + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + cnt = pu._as_int(m, "the order of derivation") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of derivation must be non-negative") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + c = np.moveaxis(c, iaxis, 0) + n = len(c) + if cnt >= n: + c = c[:1] * 0 + else: + for i in range(cnt): + n = n - 1 + c *= scl + der = np.empty((n,) + c.shape[1:], dtype=c.dtype) + for j in range(n, 2, -1): + der[j - 1] = (2 * j - 1) * c[j] + c[j - 2] += c[j] + if n > 1: + der[1] = 3 * c[2] + der[0] = c[1] + c = der + c = np.moveaxis(c, 0, iaxis) + return c + + +def legint(c, m=1, k=[], lbnd=0, scl=1, axis=0): + """ + Integrate a Legendre series. + + Returns the Legendre series coefficients `c` integrated `m` times from + `lbnd` along `axis`. At each iteration the resulting series is + **multiplied** by `scl` and an integration constant, `k`, is added. + The scaling factor is for use in a linear change of variable. ("Buyer + beware": note that, depending on what one is doing, one may want `scl` + to be the reciprocal of what one might expect; for more information, + see the Notes section below.) The argument `c` is an array of + coefficients from low to high degree along each axis, e.g., [1,2,3] + represents the series ``L_0 + 2*L_1 + 3*L_2`` while [[1,2],[1,2]] + represents ``1*L_0(x)*L_0(y) + 1*L_1(x)*L_0(y) + 2*L_0(x)*L_1(y) + + 2*L_1(x)*L_1(y)`` if axis=0 is ``x`` and axis=1 is ``y``. + + Parameters + ---------- + c : array_like + Array of Legendre series coefficients. If c is multidimensional the + different axis correspond to different variables with the degree in + each axis given by the corresponding index. + m : int, optional + Order of integration, must be positive. (Default: 1) + k : {[], list, scalar}, optional + Integration constant(s). The value of the first integral at + ``lbnd`` is the first value in the list, the value of the second + integral at ``lbnd`` is the second value, etc. If ``k == []`` (the + default), all constants are set to zero. If ``m == 1``, a single + scalar can be given instead of a list. + lbnd : scalar, optional + The lower bound of the integral. (Default: 0) + scl : scalar, optional + Following each integration the result is *multiplied* by `scl` + before the integration constant is added. (Default: 1) + axis : int, optional + Axis over which the integral is taken. (Default: 0). + + Returns + ------- + S : ndarray + Legendre series coefficient array of the integral. + + Raises + ------ + ValueError + If ``m < 0``, ``len(k) > m``, ``np.ndim(lbnd) != 0``, or + ``np.ndim(scl) != 0``. + + See Also + -------- + legder + + Notes + ----- + Note that the result of each integration is *multiplied* by `scl`. + Why is this important to note? Say one is making a linear change of + variable :math:`u = ax + b` in an integral relative to `x`. Then + :math:`dx = du/a`, so one will need to set `scl` equal to + :math:`1/a` - perhaps not what one would have first thought. + + Also note that, in general, the result of integrating a C-series needs + to be "reprojected" onto the C-series basis set. Thus, typically, + the result of this function is "unintuitive," albeit correct; see + Examples section below. + + Examples + -------- + >>> from numpy.polynomial import legendre as L + >>> c = (1,2,3) + >>> L.legint(c) + array([ 0.33333333, 0.4 , 0.66666667, 0.6 ]) # may vary + >>> L.legint(c, 3) + array([ 1.66666667e-02, -1.78571429e-02, 4.76190476e-02, # may vary + -1.73472348e-18, 1.90476190e-02, 9.52380952e-03]) + >>> L.legint(c, k=3) + array([ 3.33333333, 0.4 , 0.66666667, 0.6 ]) # may vary + >>> L.legint(c, lbnd=-2) + array([ 7.33333333, 0.4 , 0.66666667, 0.6 ]) # may vary + >>> L.legint(c, scl=2) + array([ 0.66666667, 0.8 , 1.33333333, 1.2 ]) # may vary + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + if not np.iterable(k): + k = [k] + cnt = pu._as_int(m, "the order of integration") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of integration must be non-negative") + if len(k) > cnt: + raise ValueError("Too many integration constants") + if np.ndim(lbnd) != 0: + raise ValueError("lbnd must be a scalar.") + if np.ndim(scl) != 0: + raise ValueError("scl must be a scalar.") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + c = np.moveaxis(c, iaxis, 0) + k = list(k) + [0] * (cnt - len(k)) + for i in range(cnt): + n = len(c) + c *= scl + if n == 1 and np.all(c[0] == 0): + c[0] += k[i] + else: + tmp = np.empty((n + 1,) + c.shape[1:], dtype=c.dtype) + tmp[0] = c[0] * 0 + tmp[1] = c[0] + if n > 1: + tmp[2] = c[1] / 3 + for j in range(2, n): + t = c[j] / (2 * j + 1) + tmp[j + 1] = t + tmp[j - 1] -= t + tmp[0] += k[i] - legval(lbnd, tmp) + c = tmp + c = np.moveaxis(c, 0, iaxis) + return c + + +def legval(x, c, tensor=True): + """ + Evaluate a Legendre series at points x. + + If `c` is of length ``n + 1``, this function returns the value: + + .. math:: p(x) = c_0 * L_0(x) + c_1 * L_1(x) + ... + c_n * L_n(x) + + The parameter `x` is converted to an array only if it is a tuple or a + list, otherwise it is treated as a scalar. In either case, either `x` + or its elements must support multiplication and addition both with + themselves and with the elements of `c`. + + If `c` is a 1-D array, then ``p(x)`` will have the same shape as `x`. If + `c` is multidimensional, then the shape of the result depends on the + value of `tensor`. If `tensor` is true the shape will be c.shape[1:] + + x.shape. If `tensor` is false the shape will be c.shape[1:]. Note that + scalars have shape (,). + + Trailing zeros in the coefficients will be used in the evaluation, so + they should be avoided if efficiency is a concern. + + Parameters + ---------- + x : array_like, compatible object + If `x` is a list or tuple, it is converted to an ndarray, otherwise + it is left unchanged and treated as a scalar. In either case, `x` + or its elements must support addition and multiplication with + themselves and with the elements of `c`. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree n are contained in c[n]. If `c` is multidimensional the + remaining indices enumerate multiple polynomials. In the two + dimensional case the coefficients may be thought of as stored in + the columns of `c`. + tensor : boolean, optional + If True, the shape of the coefficient array is extended with ones + on the right, one for each dimension of `x`. Scalars have dimension 0 + for this action. The result is that every column of coefficients in + `c` is evaluated for every element of `x`. If False, `x` is broadcast + over the columns of `c` for the evaluation. This keyword is useful + when `c` is multidimensional. The default value is True. + + Returns + ------- + values : ndarray, algebra_like + The shape of the return value is described above. + + See Also + -------- + legval2d, leggrid2d, legval3d, leggrid3d + + Notes + ----- + The evaluation uses Clenshaw recursion, aka synthetic division. + + """ + c = np.array(c, ndmin=1, copy=None) + if c.dtype.char in '?bBhHiIlLqQpP': + c = c.astype(np.double) + if isinstance(x, (tuple, list)): + x = np.asarray(x) + if isinstance(x, np.ndarray) and tensor: + c = c.reshape(c.shape + (1,) * x.ndim) + + if len(c) == 1: + c0 = c[0] + c1 = 0 + elif len(c) == 2: + c0 = c[0] + c1 = c[1] + else: + nd = len(c) + c0 = c[-2] + c1 = c[-1] + for i in range(3, len(c) + 1): + tmp = c0 + nd = nd - 1 + c0 = c[-i] - c1 * ((nd - 1) / nd) + c1 = tmp + c1 * x * ((2 * nd - 1) / nd) + return c0 + c1 * x + + +def legval2d(x, y, c): + """ + Evaluate a 2-D Legendre series at points (x, y). + + This function returns the values: + + .. math:: p(x,y) = \\sum_{i,j} c_{i,j} * L_i(x) * L_j(y) + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars and they + must have the same shape after conversion. In either case, either `x` + and `y` or their elements must support multiplication and addition both + with themselves and with the elements of `c`. + + If `c` is a 1-D array a one is implicitly appended to its shape to make + it 2-D. The shape of the result will be c.shape[2:] + x.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points ``(x, y)``, + where `x` and `y` must have the same shape. If `x` or `y` is a list + or tuple, it is first converted to an ndarray, otherwise it is left + unchanged and if it isn't an ndarray it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term + of multi-degree i,j is contained in ``c[i,j]``. If `c` has + dimension greater than two the remaining indices enumerate multiple + sets of coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional Legendre series at points formed + from pairs of corresponding values from `x` and `y`. + + See Also + -------- + legval, leggrid2d, legval3d, leggrid3d + """ + return pu._valnd(legval, c, x, y) + + +def leggrid2d(x, y, c): + """ + Evaluate a 2-D Legendre series on the Cartesian product of x and y. + + This function returns the values: + + .. math:: p(a,b) = \\sum_{i,j} c_{i,j} * L_i(a) * L_j(b) + + where the points ``(a, b)`` consist of all pairs formed by taking + `a` from `x` and `b` from `y`. The resulting points form a grid with + `x` in the first dimension and `y` in the second. + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars. In either + case, either `x` and `y` or their elements must support multiplication + and addition both with themselves and with the elements of `c`. + + If `c` has fewer than two dimensions, ones are implicitly appended to + its shape to make it 2-D. The shape of the result will be c.shape[2:] + + x.shape + y.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points in the + Cartesian product of `x` and `y`. If `x` or `y` is a list or + tuple, it is first converted to an ndarray, otherwise it is left + unchanged and, if it isn't an ndarray, it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term of + multi-degree i,j is contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional Chebyshev series at points in the + Cartesian product of `x` and `y`. + + See Also + -------- + legval, legval2d, legval3d, leggrid3d + """ + return pu._gridnd(legval, c, x, y) + + +def legval3d(x, y, z, c): + """ + Evaluate a 3-D Legendre series at points (x, y, z). + + This function returns the values: + + .. math:: p(x,y,z) = \\sum_{i,j,k} c_{i,j,k} * L_i(x) * L_j(y) * L_k(z) + + The parameters `x`, `y`, and `z` are converted to arrays only if + they are tuples or a lists, otherwise they are treated as a scalars and + they must have the same shape after conversion. In either case, either + `x`, `y`, and `z` or their elements must support multiplication and + addition both with themselves and with the elements of `c`. + + If `c` has fewer than 3 dimensions, ones are implicitly appended to its + shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape. + + Parameters + ---------- + x, y, z : array_like, compatible object + The three dimensional series is evaluated at the points + ``(x, y, z)``, where `x`, `y`, and `z` must have the same shape. If + any of `x`, `y`, or `z` is a list or tuple, it is first converted + to an ndarray, otherwise it is left unchanged and if it isn't an + ndarray it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term of + multi-degree i,j,k is contained in ``c[i,j,k]``. If `c` has dimension + greater than 3 the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the multidimensional polynomial on points formed with + triples of corresponding values from `x`, `y`, and `z`. + + See Also + -------- + legval, legval2d, leggrid2d, leggrid3d + """ + return pu._valnd(legval, c, x, y, z) + + +def leggrid3d(x, y, z, c): + """ + Evaluate a 3-D Legendre series on the Cartesian product of x, y, and z. + + This function returns the values: + + .. math:: p(a,b,c) = \\sum_{i,j,k} c_{i,j,k} * L_i(a) * L_j(b) * L_k(c) + + where the points ``(a, b, c)`` consist of all triples formed by taking + `a` from `x`, `b` from `y`, and `c` from `z`. The resulting points form + a grid with `x` in the first dimension, `y` in the second, and `z` in + the third. + + The parameters `x`, `y`, and `z` are converted to arrays only if they + are tuples or a lists, otherwise they are treated as a scalars. In + either case, either `x`, `y`, and `z` or their elements must support + multiplication and addition both with themselves and with the elements + of `c`. + + If `c` has fewer than three dimensions, ones are implicitly appended to + its shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape + y.shape + z.shape. + + Parameters + ---------- + x, y, z : array_like, compatible objects + The three dimensional series is evaluated at the points in the + Cartesian product of `x`, `y`, and `z`. If `x`, `y`, or `z` is a + list or tuple, it is first converted to an ndarray, otherwise it is + left unchanged and, if it isn't an ndarray, it is treated as a + scalar. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree i,j are contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points in the Cartesian + product of `x` and `y`. + + See Also + -------- + legval, legval2d, leggrid2d, legval3d + """ + return pu._gridnd(legval, c, x, y, z) + + +def legvander(x, deg): + """Pseudo-Vandermonde matrix of given degree. + + Returns the pseudo-Vandermonde matrix of degree `deg` and sample points + `x`. The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., i] = L_i(x) + + where ``0 <= i <= deg``. The leading indices of `V` index the elements of + `x` and the last index is the degree of the Legendre polynomial. + + If `c` is a 1-D array of coefficients of length ``n + 1`` and `V` is the + array ``V = legvander(x, n)``, then ``np.dot(V, c)`` and + ``legval(x, c)`` are the same up to roundoff. This equivalence is + useful both for least squares fitting and for the evaluation of a large + number of Legendre series of the same degree and sample points. + + Parameters + ---------- + x : array_like + Array of points. The dtype is converted to float64 or complex128 + depending on whether any of the elements are complex. If `x` is + scalar it is converted to a 1-D array. + deg : int + Degree of the resulting matrix. + + Returns + ------- + vander : ndarray + The pseudo-Vandermonde matrix. The shape of the returned matrix is + ``x.shape + (deg + 1,)``, where The last index is the degree of the + corresponding Legendre polynomial. The dtype will be the same as + the converted `x`. + + """ + ideg = pu._as_int(deg, "deg") + if ideg < 0: + raise ValueError("deg must be non-negative") + + x = np.array(x, copy=None, ndmin=1) + 0.0 + dims = (ideg + 1,) + x.shape + dtyp = x.dtype + v = np.empty(dims, dtype=dtyp) + # Use forward recursion to generate the entries. This is not as accurate + # as reverse recursion in this application but it is more efficient. + v[0] = x * 0 + 1 + if ideg > 0: + v[1] = x + for i in range(2, ideg + 1): + v[i] = (v[i - 1] * x * (2 * i - 1) - v[i - 2] * (i - 1)) / i + return np.moveaxis(v, 0, -1) + + +def legvander2d(x, y, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y)``. The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (deg[1] + 1)*i + j] = L_i(x) * L_j(y), + + where ``0 <= i <= deg[0]`` and ``0 <= j <= deg[1]``. The leading indices of + `V` index the points ``(x, y)`` and the last index encodes the degrees of + the Legendre polynomials. + + If ``V = legvander2d(x, y, [xdeg, ydeg])``, then the columns of `V` + correspond to the elements of a 2-D coefficient array `c` of shape + (xdeg + 1, ydeg + 1) in the order + + .. math:: c_{00}, c_{01}, c_{02}, ... , c_{10}, c_{11}, c_{12}, ... + + and ``np.dot(V, c.flat)`` and ``legval2d(x, y, c)`` will be the same + up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 2-D Legendre + series of the same degrees and sample points. + + Parameters + ---------- + x, y : array_like + Arrays of point coordinates, all of the same shape. The dtypes + will be converted to either float64 or complex128 depending on + whether any of the elements are complex. Scalars are converted to + 1-D arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg]. + + Returns + ------- + vander2d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg[1]+1)`. The dtype will be the same + as the converted `x` and `y`. + + See Also + -------- + legvander, legvander3d, legval2d, legval3d + """ + return pu._vander_nd_flat((legvander, legvander), (x, y), deg) + + +def legvander3d(x, y, z, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y, z)``. If `l`, `m`, `n` are the given degrees in `x`, `y`, `z`, + then The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (m+1)(n+1)i + (n+1)j + k] = L_i(x)*L_j(y)*L_k(z), + + where ``0 <= i <= l``, ``0 <= j <= m``, and ``0 <= j <= n``. The leading + indices of `V` index the points ``(x, y, z)`` and the last index encodes + the degrees of the Legendre polynomials. + + If ``V = legvander3d(x, y, z, [xdeg, ydeg, zdeg])``, then the columns + of `V` correspond to the elements of a 3-D coefficient array `c` of + shape (xdeg + 1, ydeg + 1, zdeg + 1) in the order + + .. math:: c_{000}, c_{001}, c_{002},... , c_{010}, c_{011}, c_{012},... + + and ``np.dot(V, c.flat)`` and ``legval3d(x, y, z, c)`` will be the + same up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 3-D Legendre + series of the same degrees and sample points. + + Parameters + ---------- + x, y, z : array_like + Arrays of point coordinates, all of the same shape. The dtypes will + be converted to either float64 or complex128 depending on whether + any of the elements are complex. Scalars are converted to 1-D + arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg, z_deg]. + + Returns + ------- + vander3d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg[1]+1)*(deg[2]+1)`. The dtype will + be the same as the converted `x`, `y`, and `z`. + + See Also + -------- + legvander, legvander3d, legval2d, legval3d + """ + return pu._vander_nd_flat((legvander, legvander, legvander), (x, y, z), deg) + + +def legfit(x, y, deg, rcond=None, full=False, w=None): + """ + Least squares fit of Legendre series to data. + + Return the coefficients of a Legendre series of degree `deg` that is the + least squares fit to the data values `y` given at points `x`. If `y` is + 1-D the returned coefficients will also be 1-D. If `y` is 2-D multiple + fits are done, one for each column of `y`, and the resulting + coefficients are stored in the corresponding columns of a 2-D return. + The fitted polynomial(s) are in the form + + .. math:: p(x) = c_0 + c_1 * L_1(x) + ... + c_n * L_n(x), + + where `n` is `deg`. + + Parameters + ---------- + x : array_like, shape (M,) + x-coordinates of the M sample points ``(x[i], y[i])``. + y : array_like, shape (M,) or (M, K) + y-coordinates of the sample points. Several data sets of sample + points sharing the same x-coordinates can be fitted at once by + passing in a 2D-array that contains one dataset per column. + deg : int or 1-D array_like + Degree(s) of the fitting polynomials. If `deg` is a single integer + all terms up to and including the `deg`'th term are included in the + fit. For NumPy versions >= 1.11.0 a list of integers specifying the + degrees of the terms to include may be used instead. + rcond : float, optional + Relative condition number of the fit. Singular values smaller than + this relative to the largest singular value will be ignored. The + default value is len(x)*eps, where eps is the relative precision of + the float type, about 2e-16 in most cases. + full : bool, optional + Switch determining nature of return value. When it is False (the + default) just the coefficients are returned, when True diagnostic + information from the singular value decomposition is also returned. + w : array_like, shape (`M`,), optional + Weights. If not None, the weight ``w[i]`` applies to the unsquared + residual ``y[i] - y_hat[i]`` at ``x[i]``. Ideally the weights are + chosen so that the errors of the products ``w[i]*y[i]`` all have the + same variance. When using inverse-variance weighting, use + ``w[i] = 1/sigma(y[i])``. The default value is None. + + Returns + ------- + coef : ndarray, shape (M,) or (M, K) + Legendre coefficients ordered from low to high. If `y` was + 2-D, the coefficients for the data in column k of `y` are in + column `k`. If `deg` is specified as a list, coefficients for + terms not included in the fit are set equal to zero in the + returned `coef`. + + [residuals, rank, singular_values, rcond] : list + These values are only returned if ``full == True`` + + - residuals -- sum of squared residuals of the least squares fit + - rank -- the numerical rank of the scaled Vandermonde matrix + - singular_values -- singular values of the scaled Vandermonde matrix + - rcond -- value of `rcond`. + + For more details, see `numpy.linalg.lstsq`. + + Warns + ----- + RankWarning + The rank of the coefficient matrix in the least-squares fit is + deficient. The warning is only raised if ``full == False``. The + warnings can be turned off by + + >>> import warnings + >>> warnings.simplefilter('ignore', np.exceptions.RankWarning) + + See Also + -------- + numpy.polynomial.polynomial.polyfit + numpy.polynomial.chebyshev.chebfit + numpy.polynomial.laguerre.lagfit + numpy.polynomial.hermite.hermfit + numpy.polynomial.hermite_e.hermefit + legval : Evaluates a Legendre series. + legvander : Vandermonde matrix of Legendre series. + legweight : Legendre weight function (= 1). + numpy.linalg.lstsq : Computes a least-squares fit from the matrix. + scipy.interpolate.UnivariateSpline : Computes spline fits. + + Notes + ----- + The solution is the coefficients of the Legendre series `p` that + minimizes the sum of the weighted squared errors + + .. math:: E = \\sum_j w_j^2 * |y_j - p(x_j)|^2, + + where :math:`w_j` are the weights. This problem is solved by setting up + as the (typically) overdetermined matrix equation + + .. math:: V(x) * c = w * y, + + where `V` is the weighted pseudo Vandermonde matrix of `x`, `c` are the + coefficients to be solved for, `w` are the weights, and `y` are the + observed values. This equation is then solved using the singular value + decomposition of `V`. + + If some of the singular values of `V` are so small that they are + neglected, then a `~exceptions.RankWarning` will be issued. This means that + the coefficient values may be poorly determined. Using a lower order fit + will usually get rid of the warning. The `rcond` parameter can also be + set to a value smaller than its default, but the resulting fit may be + spurious and have large contributions from roundoff error. + + Fits using Legendre series are usually better conditioned than fits + using power series, but much can depend on the distribution of the + sample points and the smoothness of the data. If the quality of the fit + is inadequate splines may be a good alternative. + + References + ---------- + .. [1] Wikipedia, "Curve fitting", + https://en.wikipedia.org/wiki/Curve_fitting + + Examples + -------- + + """ + return pu._fit(legvander, x, y, deg, rcond, full, w) + + +def legcompanion(c): + """Return the scaled companion matrix of c. + + The basis polynomials are scaled so that the companion matrix is + symmetric when `c` is an Legendre basis polynomial. This provides + better eigenvalue estimates than the unscaled case and for basis + polynomials the eigenvalues are guaranteed to be real if + `numpy.linalg.eigvalsh` is used to obtain them. + + Parameters + ---------- + c : array_like + 1-D array of Legendre series coefficients ordered from low to high + degree. + + Returns + ------- + mat : ndarray + Scaled companion matrix of dimensions (deg, deg). + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) < 2: + raise ValueError('Series must have maximum degree of at least 1.') + if len(c) == 2: + return np.array([[-c[0] / c[1]]]) + + n = len(c) - 1 + mat = np.zeros((n, n), dtype=c.dtype) + scl = 1. / np.sqrt(2 * np.arange(n) + 1) + top = mat.reshape(-1)[1::n + 1] + bot = mat.reshape(-1)[n::n + 1] + top[...] = np.arange(1, n) * scl[:n - 1] * scl[1:n] + bot[...] = top + mat[:, -1] -= (c[:-1] / c[-1]) * (scl / scl[-1]) * (n / (2 * n - 1)) + return mat + + +def legroots(c): + """ + Compute the roots of a Legendre series. + + Return the roots (a.k.a. "zeros") of the polynomial + + .. math:: p(x) = \\sum_i c[i] * L_i(x). + + Parameters + ---------- + c : 1-D array_like + 1-D array of coefficients. + + Returns + ------- + out : ndarray + Array of the roots of the series. If all the roots are real, + then `out` is also real, otherwise it is complex. + + See Also + -------- + numpy.polynomial.polynomial.polyroots + numpy.polynomial.chebyshev.chebroots + numpy.polynomial.laguerre.lagroots + numpy.polynomial.hermite.hermroots + numpy.polynomial.hermite_e.hermeroots + + Notes + ----- + The root estimates are obtained as the eigenvalues of the companion + matrix, Roots far from the origin of the complex plane may have large + errors due to the numerical instability of the series for such values. + Roots with multiplicity greater than 1 will also show larger errors as + the value of the series near such points is relatively insensitive to + errors in the roots. Isolated roots near the origin can be improved by + a few iterations of Newton's method. + + The Legendre series basis polynomials aren't powers of ``x`` so the + results of this function may seem unintuitive. + + Examples + -------- + >>> import numpy.polynomial.legendre as leg + >>> leg.legroots((1, 2, 3, 4)) # 4L_3 + 3L_2 + 2L_1 + 1L_0, all real roots + array([-0.85099543, -0.11407192, 0.51506735]) # may vary + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) < 2: + return np.array([], dtype=c.dtype) + if len(c) == 2: + return np.array([-c[0] / c[1]]) + + # rotated companion matrix reduces error + m = legcompanion(c)[::-1, ::-1] + r = np.linalg.eigvals(m) + r.sort() + return r + + +def leggauss(deg): + """ + Gauss-Legendre quadrature. + + Computes the sample points and weights for Gauss-Legendre quadrature. + These sample points and weights will correctly integrate polynomials of + degree :math:`2*deg - 1` or less over the interval :math:`[-1, 1]` with + the weight function :math:`f(x) = 1`. + + Parameters + ---------- + deg : int + Number of sample points and weights. It must be >= 1. + + Returns + ------- + x : ndarray + 1-D ndarray containing the sample points. + y : ndarray + 1-D ndarray containing the weights. + + Notes + ----- + The results have only been tested up to degree 100, higher degrees may + be problematic. The weights are determined by using the fact that + + .. math:: w_k = c / (L'_n(x_k) * L_{n-1}(x_k)) + + where :math:`c` is a constant independent of :math:`k` and :math:`x_k` + is the k'th root of :math:`L_n`, and then scaling the results to get + the right value when integrating 1. + + """ + ideg = pu._as_int(deg, "deg") + if ideg <= 0: + raise ValueError("deg must be a positive integer") + + # first approximation of roots. We use the fact that the companion + # matrix is symmetric in this case in order to obtain better zeros. + c = np.array([0] * deg + [1]) + m = legcompanion(c) + x = np.linalg.eigvalsh(m) + + # improve roots by one application of Newton + dy = legval(x, c) + df = legval(x, legder(c)) + x -= dy / df + + # compute the weights. We scale the factor to avoid possible numerical + # overflow. + fm = legval(x, c[1:]) + fm /= np.abs(fm).max() + df /= np.abs(df).max() + w = 1 / (fm * df) + + # for Legendre we can also symmetrize + w = (w + w[::-1]) / 2 + x = (x - x[::-1]) / 2 + + # scale w to get the right value + w *= 2. / w.sum() + + return x, w + + +def legweight(x): + """ + Weight function of the Legendre polynomials. + + The weight function is :math:`1` and the interval of integration is + :math:`[-1, 1]`. The Legendre polynomials are orthogonal, but not + normalized, with respect to this weight function. + + Parameters + ---------- + x : array_like + Values at which the weight function will be computed. + + Returns + ------- + w : ndarray + The weight function at `x`. + """ + w = x * 0.0 + 1.0 + return w + +# +# Legendre series class +# + +class Legendre(ABCPolyBase): + """A Legendre series class. + + The Legendre class provides the standard Python numerical methods + '+', '-', '*', '//', '%', 'divmod', '**', and '()' as well as the + attributes and methods listed below. + + Parameters + ---------- + coef : array_like + Legendre coefficients in order of increasing degree, i.e., + ``(1, 2, 3)`` gives ``1*P_0(x) + 2*P_1(x) + 3*P_2(x)``. + domain : (2,) array_like, optional + Domain to use. The interval ``[domain[0], domain[1]]`` is mapped + to the interval ``[window[0], window[1]]`` by shifting and scaling. + The default value is [-1., 1.]. + window : (2,) array_like, optional + Window, see `domain` for its use. The default value is [-1., 1.]. + symbol : str, optional + Symbol used to represent the independent variable in string + representations of the polynomial expression, e.g. for printing. + The symbol must be a valid Python identifier. Default value is 'x'. + + .. versionadded:: 1.24 + + """ + # Virtual Functions + _add = staticmethod(legadd) + _sub = staticmethod(legsub) + _mul = staticmethod(legmul) + _div = staticmethod(legdiv) + _pow = staticmethod(legpow) + _val = staticmethod(legval) + _int = staticmethod(legint) + _der = staticmethod(legder) + _fit = staticmethod(legfit) + _line = staticmethod(legline) + _roots = staticmethod(legroots) + _fromroots = staticmethod(legfromroots) + + # Virtual properties + domain = np.array(legdomain) + window = np.array(legdomain) + basis_name = 'P' diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/legendre.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/legendre.pyi new file mode 100644 index 0000000000000000000000000000000000000000..53f8f7c210fa82dd4915cc99125a63e6bd37a274 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/legendre.pyi @@ -0,0 +1,100 @@ +from typing import Any, ClassVar, Final, Literal as L + +import numpy as np + +from ._polybase import ABCPolyBase +from ._polytypes import ( + _Array1, + _Array2, + _FuncBinOp, + _FuncCompanion, + _FuncDer, + _FuncFit, + _FuncFromRoots, + _FuncGauss, + _FuncInteg, + _FuncLine, + _FuncPoly2Ortho, + _FuncPow, + _FuncRoots, + _FuncUnOp, + _FuncVal, + _FuncVal2D, + _FuncVal3D, + _FuncVander, + _FuncVander2D, + _FuncVander3D, + _FuncWeight, +) +from .polyutils import trimcoef as legtrim + +__all__ = [ + "legzero", + "legone", + "legx", + "legdomain", + "legline", + "legadd", + "legsub", + "legmulx", + "legmul", + "legdiv", + "legpow", + "legval", + "legder", + "legint", + "leg2poly", + "poly2leg", + "legfromroots", + "legvander", + "legfit", + "legtrim", + "legroots", + "Legendre", + "legval2d", + "legval3d", + "leggrid2d", + "leggrid3d", + "legvander2d", + "legvander3d", + "legcompanion", + "leggauss", + "legweight", +] + +poly2leg: Final[_FuncPoly2Ortho] = ... +leg2poly: Final[_FuncUnOp] = ... + +legdomain: Final[_Array2[np.float64]] = ... +legzero: Final[_Array1[np.int_]] = ... +legone: Final[_Array1[np.int_]] = ... +legx: Final[_Array2[np.int_]] = ... + +legline: Final[_FuncLine] = ... +legfromroots: Final[_FuncFromRoots] = ... +legadd: Final[_FuncBinOp] = ... +legsub: Final[_FuncBinOp] = ... +legmulx: Final[_FuncUnOp] = ... +legmul: Final[_FuncBinOp] = ... +legdiv: Final[_FuncBinOp] = ... +legpow: Final[_FuncPow] = ... +legder: Final[_FuncDer] = ... +legint: Final[_FuncInteg] = ... +legval: Final[_FuncVal] = ... +legval2d: Final[_FuncVal2D] = ... +legval3d: Final[_FuncVal3D] = ... +leggrid2d: Final[_FuncVal2D] = ... +leggrid3d: Final[_FuncVal3D] = ... +legvander: Final[_FuncVander] = ... +legvander2d: Final[_FuncVander2D] = ... +legvander3d: Final[_FuncVander3D] = ... +legfit: Final[_FuncFit] = ... +legcompanion: Final[_FuncCompanion] = ... +legroots: Final[_FuncRoots] = ... +leggauss: Final[_FuncGauss] = ... +legweight: Final[_FuncWeight] = ... + +class Legendre(ABCPolyBase[L["P"]]): + basis_name: ClassVar[L["P"]] = "P" # pyright: ignore[reportIncompatibleMethodOverride] + domain: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] + window: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polynomial.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polynomial.py new file mode 100644 index 0000000000000000000000000000000000000000..e3823c89cd98ca71071b1cc48b9619f7ec0e7f2d --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polynomial.py @@ -0,0 +1,1625 @@ +""" +================================================= +Power Series (:mod:`numpy.polynomial.polynomial`) +================================================= + +This module provides a number of objects (mostly functions) useful for +dealing with polynomials, including a `Polynomial` class that +encapsulates the usual arithmetic operations. (General information +on how this module represents and works with polynomial objects is in +the docstring for its "parent" sub-package, `numpy.polynomial`). + +Classes +------- +.. autosummary:: + :toctree: generated/ + + Polynomial + +Constants +--------- +.. autosummary:: + :toctree: generated/ + + polydomain + polyzero + polyone + polyx + +Arithmetic +---------- +.. autosummary:: + :toctree: generated/ + + polyadd + polysub + polymulx + polymul + polydiv + polypow + polyval + polyval2d + polyval3d + polygrid2d + polygrid3d + +Calculus +-------- +.. autosummary:: + :toctree: generated/ + + polyder + polyint + +Misc Functions +-------------- +.. autosummary:: + :toctree: generated/ + + polyfromroots + polyroots + polyvalfromroots + polyvander + polyvander2d + polyvander3d + polycompanion + polyfit + polytrim + polyline + +See Also +-------- +`numpy.polynomial` + +""" +__all__ = [ + 'polyzero', 'polyone', 'polyx', 'polydomain', 'polyline', 'polyadd', + 'polysub', 'polymulx', 'polymul', 'polydiv', 'polypow', 'polyval', + 'polyvalfromroots', 'polyder', 'polyint', 'polyfromroots', 'polyvander', + 'polyfit', 'polytrim', 'polyroots', 'Polynomial', 'polyval2d', 'polyval3d', + 'polygrid2d', 'polygrid3d', 'polyvander2d', 'polyvander3d', + 'polycompanion'] + +import numpy as np +from numpy._core.overrides import array_function_dispatch as _array_function_dispatch + +from . import polyutils as pu +from ._polybase import ABCPolyBase + +polytrim = pu.trimcoef + +# +# These are constant arrays are of integer type so as to be compatible +# with the widest range of other types, such as Decimal. +# + +# Polynomial default domain. +polydomain = np.array([-1., 1.]) + +# Polynomial coefficients representing zero. +polyzero = np.array([0]) + +# Polynomial coefficients representing one. +polyone = np.array([1]) + +# Polynomial coefficients representing the identity x. +polyx = np.array([0, 1]) + +# +# Polynomial series functions +# + + +def polyline(off, scl): + """ + Returns an array representing a linear polynomial. + + Parameters + ---------- + off, scl : scalars + The "y-intercept" and "slope" of the line, respectively. + + Returns + ------- + y : ndarray + This module's representation of the linear polynomial ``off + + scl*x``. + + See Also + -------- + numpy.polynomial.chebyshev.chebline + numpy.polynomial.legendre.legline + numpy.polynomial.laguerre.lagline + numpy.polynomial.hermite.hermline + numpy.polynomial.hermite_e.hermeline + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> P.polyline(1, -1) + array([ 1, -1]) + >>> P.polyval(1, P.polyline(1, -1)) # should be 0 + 0.0 + + """ + if scl != 0: + return np.array([off, scl]) + else: + return np.array([off]) + + +def polyfromroots(roots): + """ + Generate a monic polynomial with given roots. + + Return the coefficients of the polynomial + + .. math:: p(x) = (x - r_0) * (x - r_1) * ... * (x - r_n), + + where the :math:`r_n` are the roots specified in `roots`. If a zero has + multiplicity n, then it must appear in `roots` n times. For instance, + if 2 is a root of multiplicity three and 3 is a root of multiplicity 2, + then `roots` looks something like [2, 2, 2, 3, 3]. The roots can appear + in any order. + + If the returned coefficients are `c`, then + + .. math:: p(x) = c_0 + c_1 * x + ... + x^n + + The coefficient of the last term is 1 for monic polynomials in this + form. + + Parameters + ---------- + roots : array_like + Sequence containing the roots. + + Returns + ------- + out : ndarray + 1-D array of the polynomial's coefficients If all the roots are + real, then `out` is also real, otherwise it is complex. (see + Examples below). + + See Also + -------- + numpy.polynomial.chebyshev.chebfromroots + numpy.polynomial.legendre.legfromroots + numpy.polynomial.laguerre.lagfromroots + numpy.polynomial.hermite.hermfromroots + numpy.polynomial.hermite_e.hermefromroots + + Notes + ----- + The coefficients are determined by multiplying together linear factors + of the form ``(x - r_i)``, i.e. + + .. math:: p(x) = (x - r_0) (x - r_1) ... (x - r_n) + + where ``n == len(roots) - 1``; note that this implies that ``1`` is always + returned for :math:`a_n`. + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> P.polyfromroots((-1,0,1)) # x(x - 1)(x + 1) = x^3 - x + array([ 0., -1., 0., 1.]) + >>> j = complex(0,1) + >>> P.polyfromroots((-j,j)) # complex returned, though values are real + array([1.+0.j, 0.+0.j, 1.+0.j]) + + """ + return pu._fromroots(polyline, polymul, roots) + + +def polyadd(c1, c2): + """ + Add one polynomial to another. + + Returns the sum of two polynomials `c1` + `c2`. The arguments are + sequences of coefficients from lowest order term to highest, i.e., + [1,2,3] represents the polynomial ``1 + 2*x + 3*x**2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of polynomial coefficients ordered from low to high. + + Returns + ------- + out : ndarray + The coefficient array representing their sum. + + See Also + -------- + polysub, polymulx, polymul, polydiv, polypow + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c1 = (1, 2, 3) + >>> c2 = (3, 2, 1) + >>> sum = P.polyadd(c1,c2); sum + array([4., 4., 4.]) + >>> P.polyval(2, sum) # 4 + 4(2) + 4(2**2) + 28.0 + + """ + return pu._add(c1, c2) + + +def polysub(c1, c2): + """ + Subtract one polynomial from another. + + Returns the difference of two polynomials `c1` - `c2`. The arguments + are sequences of coefficients from lowest order term to highest, i.e., + [1,2,3] represents the polynomial ``1 + 2*x + 3*x**2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of polynomial coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Of coefficients representing their difference. + + See Also + -------- + polyadd, polymulx, polymul, polydiv, polypow + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c1 = (1, 2, 3) + >>> c2 = (3, 2, 1) + >>> P.polysub(c1,c2) + array([-2., 0., 2.]) + >>> P.polysub(c2, c1) # -P.polysub(c1,c2) + array([ 2., 0., -2.]) + + """ + return pu._sub(c1, c2) + + +def polymulx(c): + """Multiply a polynomial by x. + + Multiply the polynomial `c` by x, where x is the independent + variable. + + + Parameters + ---------- + c : array_like + 1-D array of polynomial coefficients ordered from low to + high. + + Returns + ------- + out : ndarray + Array representing the result of the multiplication. + + See Also + -------- + polyadd, polysub, polymul, polydiv, polypow + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c = (1, 2, 3) + >>> P.polymulx(c) + array([0., 1., 2., 3.]) + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + # The zero series needs special treatment + if len(c) == 1 and c[0] == 0: + return c + + prd = np.empty(len(c) + 1, dtype=c.dtype) + prd[0] = c[0] * 0 + prd[1:] = c + return prd + + +def polymul(c1, c2): + """ + Multiply one polynomial by another. + + Returns the product of two polynomials `c1` * `c2`. The arguments are + sequences of coefficients, from lowest order term to highest, e.g., + [1,2,3] represents the polynomial ``1 + 2*x + 3*x**2.`` + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of coefficients representing a polynomial, relative to the + "standard" basis, and ordered from lowest order term to highest. + + Returns + ------- + out : ndarray + Of the coefficients of their product. + + See Also + -------- + polyadd, polysub, polymulx, polydiv, polypow + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c1 = (1, 2, 3) + >>> c2 = (3, 2, 1) + >>> P.polymul(c1, c2) + array([ 3., 8., 14., 8., 3.]) + + """ + # c1, c2 are trimmed copies + [c1, c2] = pu.as_series([c1, c2]) + ret = np.convolve(c1, c2) + return pu.trimseq(ret) + + +def polydiv(c1, c2): + """ + Divide one polynomial by another. + + Returns the quotient-with-remainder of two polynomials `c1` / `c2`. + The arguments are sequences of coefficients, from lowest order term + to highest, e.g., [1,2,3] represents ``1 + 2*x + 3*x**2``. + + Parameters + ---------- + c1, c2 : array_like + 1-D arrays of polynomial coefficients ordered from low to high. + + Returns + ------- + [quo, rem] : ndarrays + Of coefficient series representing the quotient and remainder. + + See Also + -------- + polyadd, polysub, polymulx, polymul, polypow + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c1 = (1, 2, 3) + >>> c2 = (3, 2, 1) + >>> P.polydiv(c1, c2) + (array([3.]), array([-8., -4.])) + >>> P.polydiv(c2, c1) + (array([ 0.33333333]), array([ 2.66666667, 1.33333333])) # may vary + + """ + # c1, c2 are trimmed copies + [c1, c2] = pu.as_series([c1, c2]) + if c2[-1] == 0: + raise ZeroDivisionError # FIXME: add message with details to exception + + # note: this is more efficient than `pu._div(polymul, c1, c2)` + lc1 = len(c1) + lc2 = len(c2) + if lc1 < lc2: + return c1[:1] * 0, c1 + elif lc2 == 1: + return c1 / c2[-1], c1[:1] * 0 + else: + dlen = lc1 - lc2 + scl = c2[-1] + c2 = c2[:-1] / scl + i = dlen + j = lc1 - 1 + while i >= 0: + c1[i:j] -= c2 * c1[j] + i -= 1 + j -= 1 + return c1[j + 1:] / scl, pu.trimseq(c1[:j + 1]) + + +def polypow(c, pow, maxpower=None): + """Raise a polynomial to a power. + + Returns the polynomial `c` raised to the power `pow`. The argument + `c` is a sequence of coefficients ordered from low to high. i.e., + [1,2,3] is the series ``1 + 2*x + 3*x**2.`` + + Parameters + ---------- + c : array_like + 1-D array of array of series coefficients ordered from low to + high degree. + pow : integer + Power to which the series will be raised + maxpower : integer, optional + Maximum power allowed. This is mainly to limit growth of the series + to unmanageable size. Default is 16 + + Returns + ------- + coef : ndarray + Power series of power. + + See Also + -------- + polyadd, polysub, polymulx, polymul, polydiv + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> P.polypow([1, 2, 3], 2) + array([ 1., 4., 10., 12., 9.]) + + """ + # note: this is more efficient than `pu._pow(polymul, c1, c2)`, as it + # avoids calling `as_series` repeatedly + return pu._pow(np.convolve, c, pow, maxpower) + + +def polyder(c, m=1, scl=1, axis=0): + """ + Differentiate a polynomial. + + Returns the polynomial coefficients `c` differentiated `m` times along + `axis`. At each iteration the result is multiplied by `scl` (the + scaling factor is for use in a linear change of variable). The + argument `c` is an array of coefficients from low to high degree along + each axis, e.g., [1,2,3] represents the polynomial ``1 + 2*x + 3*x**2`` + while [[1,2],[1,2]] represents ``1 + 1*x + 2*y + 2*x*y`` if axis=0 is + ``x`` and axis=1 is ``y``. + + Parameters + ---------- + c : array_like + Array of polynomial coefficients. If c is multidimensional the + different axis correspond to different variables with the degree + in each axis given by the corresponding index. + m : int, optional + Number of derivatives taken, must be non-negative. (Default: 1) + scl : scalar, optional + Each differentiation is multiplied by `scl`. The end result is + multiplication by ``scl**m``. This is for use in a linear change + of variable. (Default: 1) + axis : int, optional + Axis over which the derivative is taken. (Default: 0). + + Returns + ------- + der : ndarray + Polynomial coefficients of the derivative. + + See Also + -------- + polyint + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c = (1, 2, 3, 4) + >>> P.polyder(c) # (d/dx)(c) + array([ 2., 6., 12.]) + >>> P.polyder(c, 3) # (d**3/dx**3)(c) + array([24.]) + >>> P.polyder(c, scl=-1) # (d/d(-x))(c) + array([ -2., -6., -12.]) + >>> P.polyder(c, 2, -1) # (d**2/d(-x)**2)(c) + array([ 6., 24.]) + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + # astype fails with NA + c = c + 0.0 + cdt = c.dtype + cnt = pu._as_int(m, "the order of derivation") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of derivation must be non-negative") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + c = np.moveaxis(c, iaxis, 0) + n = len(c) + if cnt >= n: + c = c[:1] * 0 + else: + for i in range(cnt): + n = n - 1 + c *= scl + der = np.empty((n,) + c.shape[1:], dtype=cdt) + for j in range(n, 0, -1): + der[j - 1] = j * c[j] + c = der + c = np.moveaxis(c, 0, iaxis) + return c + + +def polyint(c, m=1, k=[], lbnd=0, scl=1, axis=0): + """ + Integrate a polynomial. + + Returns the polynomial coefficients `c` integrated `m` times from + `lbnd` along `axis`. At each iteration the resulting series is + **multiplied** by `scl` and an integration constant, `k`, is added. + The scaling factor is for use in a linear change of variable. ("Buyer + beware": note that, depending on what one is doing, one may want `scl` + to be the reciprocal of what one might expect; for more information, + see the Notes section below.) The argument `c` is an array of + coefficients, from low to high degree along each axis, e.g., [1,2,3] + represents the polynomial ``1 + 2*x + 3*x**2`` while [[1,2],[1,2]] + represents ``1 + 1*x + 2*y + 2*x*y`` if axis=0 is ``x`` and axis=1 is + ``y``. + + Parameters + ---------- + c : array_like + 1-D array of polynomial coefficients, ordered from low to high. + m : int, optional + Order of integration, must be positive. (Default: 1) + k : {[], list, scalar}, optional + Integration constant(s). The value of the first integral at zero + is the first value in the list, the value of the second integral + at zero is the second value, etc. If ``k == []`` (the default), + all constants are set to zero. If ``m == 1``, a single scalar can + be given instead of a list. + lbnd : scalar, optional + The lower bound of the integral. (Default: 0) + scl : scalar, optional + Following each integration the result is *multiplied* by `scl` + before the integration constant is added. (Default: 1) + axis : int, optional + Axis over which the integral is taken. (Default: 0). + + Returns + ------- + S : ndarray + Coefficient array of the integral. + + Raises + ------ + ValueError + If ``m < 1``, ``len(k) > m``, ``np.ndim(lbnd) != 0``, or + ``np.ndim(scl) != 0``. + + See Also + -------- + polyder + + Notes + ----- + Note that the result of each integration is *multiplied* by `scl`. Why + is this important to note? Say one is making a linear change of + variable :math:`u = ax + b` in an integral relative to `x`. Then + :math:`dx = du/a`, so one will need to set `scl` equal to + :math:`1/a` - perhaps not what one would have first thought. + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c = (1, 2, 3) + >>> P.polyint(c) # should return array([0, 1, 1, 1]) + array([0., 1., 1., 1.]) + >>> P.polyint(c, 3) # should return array([0, 0, 0, 1/6, 1/12, 1/20]) + array([ 0. , 0. , 0. , 0.16666667, 0.08333333, # may vary + 0.05 ]) + >>> P.polyint(c, k=3) # should return array([3, 1, 1, 1]) + array([3., 1., 1., 1.]) + >>> P.polyint(c,lbnd=-2) # should return array([6, 1, 1, 1]) + array([6., 1., 1., 1.]) + >>> P.polyint(c,scl=-2) # should return array([0, -2, -2, -2]) + array([ 0., -2., -2., -2.]) + + """ + c = np.array(c, ndmin=1, copy=True) + if c.dtype.char in '?bBhHiIlLqQpP': + # astype doesn't preserve mask attribute. + c = c + 0.0 + cdt = c.dtype + if not np.iterable(k): + k = [k] + cnt = pu._as_int(m, "the order of integration") + iaxis = pu._as_int(axis, "the axis") + if cnt < 0: + raise ValueError("The order of integration must be non-negative") + if len(k) > cnt: + raise ValueError("Too many integration constants") + if np.ndim(lbnd) != 0: + raise ValueError("lbnd must be a scalar.") + if np.ndim(scl) != 0: + raise ValueError("scl must be a scalar.") + iaxis = np.lib.array_utils.normalize_axis_index(iaxis, c.ndim) + + if cnt == 0: + return c + + k = list(k) + [0] * (cnt - len(k)) + c = np.moveaxis(c, iaxis, 0) + for i in range(cnt): + n = len(c) + c *= scl + if n == 1 and np.all(c[0] == 0): + c[0] += k[i] + else: + tmp = np.empty((n + 1,) + c.shape[1:], dtype=cdt) + tmp[0] = c[0] * 0 + tmp[1] = c[0] + for j in range(1, n): + tmp[j + 1] = c[j] / (j + 1) + tmp[0] += k[i] - polyval(lbnd, tmp) + c = tmp + c = np.moveaxis(c, 0, iaxis) + return c + + +def polyval(x, c, tensor=True): + """ + Evaluate a polynomial at points x. + + If `c` is of length ``n + 1``, this function returns the value + + .. math:: p(x) = c_0 + c_1 * x + ... + c_n * x^n + + The parameter `x` is converted to an array only if it is a tuple or a + list, otherwise it is treated as a scalar. In either case, either `x` + or its elements must support multiplication and addition both with + themselves and with the elements of `c`. + + If `c` is a 1-D array, then ``p(x)`` will have the same shape as `x`. If + `c` is multidimensional, then the shape of the result depends on the + value of `tensor`. If `tensor` is true the shape will be c.shape[1:] + + x.shape. If `tensor` is false the shape will be c.shape[1:]. Note that + scalars have shape (,). + + Trailing zeros in the coefficients will be used in the evaluation, so + they should be avoided if efficiency is a concern. + + Parameters + ---------- + x : array_like, compatible object + If `x` is a list or tuple, it is converted to an ndarray, otherwise + it is left unchanged and treated as a scalar. In either case, `x` + or its elements must support addition and multiplication with + with themselves and with the elements of `c`. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree n are contained in c[n]. If `c` is multidimensional the + remaining indices enumerate multiple polynomials. In the two + dimensional case the coefficients may be thought of as stored in + the columns of `c`. + tensor : boolean, optional + If True, the shape of the coefficient array is extended with ones + on the right, one for each dimension of `x`. Scalars have dimension 0 + for this action. The result is that every column of coefficients in + `c` is evaluated for every element of `x`. If False, `x` is broadcast + over the columns of `c` for the evaluation. This keyword is useful + when `c` is multidimensional. The default value is True. + + Returns + ------- + values : ndarray, compatible object + The shape of the returned array is described above. + + See Also + -------- + polyval2d, polygrid2d, polyval3d, polygrid3d + + Notes + ----- + The evaluation uses Horner's method. + + When using coefficients from polynomials created with ``Polynomial.fit()``, + use ``p(x)`` or ``polyval(x, p.convert().coef)`` to handle domain/window + scaling correctly, not ``polyval(x, p.coef)``. + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial.polynomial import polyval + >>> polyval(1, [1,2,3]) + 6.0 + >>> a = np.arange(4).reshape(2,2) + >>> a + array([[0, 1], + [2, 3]]) + >>> polyval(a, [1, 2, 3]) + array([[ 1., 6.], + [17., 34.]]) + >>> coef = np.arange(4).reshape(2, 2) # multidimensional coefficients + >>> coef + array([[0, 1], + [2, 3]]) + >>> polyval([1, 2], coef, tensor=True) + array([[2., 4.], + [4., 7.]]) + >>> polyval([1, 2], coef, tensor=False) + array([2., 7.]) + + """ + c = np.array(c, ndmin=1, copy=None) + if c.dtype.char in '?bBhHiIlLqQpP': + # astype fails with NA + c = c + 0.0 + if isinstance(x, (tuple, list)): + x = np.asarray(x) + if isinstance(x, np.ndarray) and tensor: + c = c.reshape(c.shape + (1,) * x.ndim) + + c0 = c[-1] + x * 0 + for i in range(2, len(c) + 1): + c0 = c[-i] + c0 * x + return c0 + + +def polyvalfromroots(x, r, tensor=True): + """ + Evaluate a polynomial specified by its roots at points x. + + If `r` is of length ``N``, this function returns the value + + .. math:: p(x) = \\prod_{n=1}^{N} (x - r_n) + + The parameter `x` is converted to an array only if it is a tuple or a + list, otherwise it is treated as a scalar. In either case, either `x` + or its elements must support multiplication and addition both with + themselves and with the elements of `r`. + + If `r` is a 1-D array, then ``p(x)`` will have the same shape as `x`. If `r` + is multidimensional, then the shape of the result depends on the value of + `tensor`. If `tensor` is ``True`` the shape will be r.shape[1:] + x.shape; + that is, each polynomial is evaluated at every value of `x`. If `tensor` is + ``False``, the shape will be r.shape[1:]; that is, each polynomial is + evaluated only for the corresponding broadcast value of `x`. Note that + scalars have shape (,). + + Parameters + ---------- + x : array_like, compatible object + If `x` is a list or tuple, it is converted to an ndarray, otherwise + it is left unchanged and treated as a scalar. In either case, `x` + or its elements must support addition and multiplication with + with themselves and with the elements of `r`. + r : array_like + Array of roots. If `r` is multidimensional the first index is the + root index, while the remaining indices enumerate multiple + polynomials. For instance, in the two dimensional case the roots + of each polynomial may be thought of as stored in the columns of `r`. + tensor : boolean, optional + If True, the shape of the roots array is extended with ones on the + right, one for each dimension of `x`. Scalars have dimension 0 for this + action. The result is that every column of coefficients in `r` is + evaluated for every element of `x`. If False, `x` is broadcast over the + columns of `r` for the evaluation. This keyword is useful when `r` is + multidimensional. The default value is True. + + Returns + ------- + values : ndarray, compatible object + The shape of the returned array is described above. + + See Also + -------- + polyroots, polyfromroots, polyval + + Examples + -------- + >>> from numpy.polynomial.polynomial import polyvalfromroots + >>> polyvalfromroots(1, [1, 2, 3]) + 0.0 + >>> a = np.arange(4).reshape(2, 2) + >>> a + array([[0, 1], + [2, 3]]) + >>> polyvalfromroots(a, [-1, 0, 1]) + array([[-0., 0.], + [ 6., 24.]]) + >>> r = np.arange(-2, 2).reshape(2,2) # multidimensional coefficients + >>> r # each column of r defines one polynomial + array([[-2, -1], + [ 0, 1]]) + >>> b = [-2, 1] + >>> polyvalfromroots(b, r, tensor=True) + array([[-0., 3.], + [ 3., 0.]]) + >>> polyvalfromroots(b, r, tensor=False) + array([-0., 0.]) + + """ + r = np.array(r, ndmin=1, copy=None) + if r.dtype.char in '?bBhHiIlLqQpP': + r = r.astype(np.double) + if isinstance(x, (tuple, list)): + x = np.asarray(x) + if isinstance(x, np.ndarray): + if tensor: + r = r.reshape(r.shape + (1,) * x.ndim) + elif x.ndim >= r.ndim: + raise ValueError("x.ndim must be < r.ndim when tensor == False") + return np.prod(x - r, axis=0) + +def _polyval2d_dispatcher(x, y, c): + return (x, y, c) + +def _polygrid2d_dispatcher(x, y, c): + return (x, y, c) + +@_array_function_dispatch(_polyval2d_dispatcher) +def polyval2d(x, y, c): + """ + Evaluate a 2-D polynomial at points (x, y). + + This function returns the value + + .. math:: p(x,y) = \\sum_{i,j} c_{i,j} * x^i * y^j + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars and they + must have the same shape after conversion. In either case, either `x` + and `y` or their elements must support multiplication and addition both + with themselves and with the elements of `c`. + + If `c` has fewer than two dimensions, ones are implicitly appended to + its shape to make it 2-D. The shape of the result will be c.shape[2:] + + x.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points ``(x, y)``, + where `x` and `y` must have the same shape. If `x` or `y` is a list + or tuple, it is first converted to an ndarray, otherwise it is left + unchanged and, if it isn't an ndarray, it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term + of multi-degree i,j is contained in ``c[i,j]``. If `c` has + dimension greater than two the remaining indices enumerate multiple + sets of coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points formed with + pairs of corresponding values from `x` and `y`. + + See Also + -------- + polyval, polygrid2d, polyval3d, polygrid3d + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c = ((1, 2, 3), (4, 5, 6)) + >>> P.polyval2d(1, 1, c) + 21.0 + + """ + return pu._valnd(polyval, c, x, y) + +@_array_function_dispatch(_polygrid2d_dispatcher) +def polygrid2d(x, y, c): + """ + Evaluate a 2-D polynomial on the Cartesian product of x and y. + + This function returns the values: + + .. math:: p(a,b) = \\sum_{i,j} c_{i,j} * a^i * b^j + + where the points ``(a, b)`` consist of all pairs formed by taking + `a` from `x` and `b` from `y`. The resulting points form a grid with + `x` in the first dimension and `y` in the second. + + The parameters `x` and `y` are converted to arrays only if they are + tuples or a lists, otherwise they are treated as a scalars. In either + case, either `x` and `y` or their elements must support multiplication + and addition both with themselves and with the elements of `c`. + + If `c` has fewer than two dimensions, ones are implicitly appended to + its shape to make it 2-D. The shape of the result will be c.shape[2:] + + x.shape + y.shape. + + Parameters + ---------- + x, y : array_like, compatible objects + The two dimensional series is evaluated at the points in the + Cartesian product of `x` and `y`. If `x` or `y` is a list or + tuple, it is first converted to an ndarray, otherwise it is left + unchanged and, if it isn't an ndarray, it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree i,j are contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points in the Cartesian + product of `x` and `y`. + + See Also + -------- + polyval, polyval2d, polyval3d, polygrid3d + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c = ((1, 2, 3), (4, 5, 6)) + >>> P.polygrid2d([0, 1], [0, 1], c) + array([[ 1., 6.], + [ 5., 21.]]) + + """ + return pu._gridnd(polyval, c, x, y) + + +def polyval3d(x, y, z, c): + """ + Evaluate a 3-D polynomial at points (x, y, z). + + This function returns the values: + + .. math:: p(x,y,z) = \\sum_{i,j,k} c_{i,j,k} * x^i * y^j * z^k + + The parameters `x`, `y`, and `z` are converted to arrays only if + they are tuples or a lists, otherwise they are treated as a scalars and + they must have the same shape after conversion. In either case, either + `x`, `y`, and `z` or their elements must support multiplication and + addition both with themselves and with the elements of `c`. + + If `c` has fewer than 3 dimensions, ones are implicitly appended to its + shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape. + + Parameters + ---------- + x, y, z : array_like, compatible object + The three dimensional series is evaluated at the points + ``(x, y, z)``, where `x`, `y`, and `z` must have the same shape. If + any of `x`, `y`, or `z` is a list or tuple, it is first converted + to an ndarray, otherwise it is left unchanged and if it isn't an + ndarray it is treated as a scalar. + c : array_like + Array of coefficients ordered so that the coefficient of the term of + multi-degree i,j,k is contained in ``c[i,j,k]``. If `c` has dimension + greater than 3 the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the multidimensional polynomial on points formed with + triples of corresponding values from `x`, `y`, and `z`. + + See Also + -------- + polyval, polyval2d, polygrid2d, polygrid3d + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c = ((1, 2, 3), (4, 5, 6), (7, 8, 9)) + >>> P.polyval3d(1, 1, 1, c) + 45.0 + + """ + return pu._valnd(polyval, c, x, y, z) + + +def polygrid3d(x, y, z, c): + """ + Evaluate a 3-D polynomial on the Cartesian product of x, y and z. + + This function returns the values: + + .. math:: p(a,b,c) = \\sum_{i,j,k} c_{i,j,k} * a^i * b^j * c^k + + where the points ``(a, b, c)`` consist of all triples formed by taking + `a` from `x`, `b` from `y`, and `c` from `z`. The resulting points form + a grid with `x` in the first dimension, `y` in the second, and `z` in + the third. + + The parameters `x`, `y`, and `z` are converted to arrays only if they + are tuples or a lists, otherwise they are treated as a scalars. In + either case, either `x`, `y`, and `z` or their elements must support + multiplication and addition both with themselves and with the elements + of `c`. + + If `c` has fewer than three dimensions, ones are implicitly appended to + its shape to make it 3-D. The shape of the result will be c.shape[3:] + + x.shape + y.shape + z.shape. + + Parameters + ---------- + x, y, z : array_like, compatible objects + The three dimensional series is evaluated at the points in the + Cartesian product of `x`, `y`, and `z`. If `x`, `y`, or `z` is a + list or tuple, it is first converted to an ndarray, otherwise it is + left unchanged and, if it isn't an ndarray, it is treated as a + scalar. + c : array_like + Array of coefficients ordered so that the coefficients for terms of + degree i,j are contained in ``c[i,j]``. If `c` has dimension + greater than two the remaining indices enumerate multiple sets of + coefficients. + + Returns + ------- + values : ndarray, compatible object + The values of the two dimensional polynomial at points in the Cartesian + product of `x` and `y`. + + See Also + -------- + polyval, polyval2d, polygrid2d, polyval3d + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c = ((1, 2, 3), (4, 5, 6), (7, 8, 9)) + >>> P.polygrid3d([0, 1], [0, 1], [0, 1], c) + array([[ 1., 13.], + [ 6., 51.]]) + + """ + return pu._gridnd(polyval, c, x, y, z) + + +def polyvander(x, deg): + """Vandermonde matrix of given degree. + + Returns the Vandermonde matrix of degree `deg` and sample points + `x`. The Vandermonde matrix is defined by + + .. math:: V[..., i] = x^i, + + where ``0 <= i <= deg``. The leading indices of `V` index the elements of + `x` and the last index is the power of `x`. + + If `c` is a 1-D array of coefficients of length ``n + 1`` and `V` is the + matrix ``V = polyvander(x, n)``, then ``np.dot(V, c)`` and + ``polyval(x, c)`` are the same up to roundoff. This equivalence is + useful both for least squares fitting and for the evaluation of a large + number of polynomials of the same degree and sample points. + + Parameters + ---------- + x : array_like + Array of points. The dtype is converted to float64 or complex128 + depending on whether any of the elements are complex. If `x` is + scalar it is converted to a 1-D array. + deg : int + Degree of the resulting matrix. + + Returns + ------- + vander : ndarray. + The Vandermonde matrix. The shape of the returned matrix is + ``x.shape + (deg + 1,)``, where the last index is the power of `x`. + The dtype will be the same as the converted `x`. + + See Also + -------- + polyvander2d, polyvander3d + + Examples + -------- + The Vandermonde matrix of degree ``deg = 5`` and sample points + ``x = [-1, 2, 3]`` contains the element-wise powers of `x` + from 0 to 5 as its columns. + + >>> from numpy.polynomial import polynomial as P + >>> x, deg = [-1, 2, 3], 5 + >>> P.polyvander(x=x, deg=deg) + array([[ 1., -1., 1., -1., 1., -1.], + [ 1., 2., 4., 8., 16., 32.], + [ 1., 3., 9., 27., 81., 243.]]) + + """ + ideg = pu._as_int(deg, "deg") + if ideg < 0: + raise ValueError("deg must be non-negative") + + x = np.array(x, copy=None, ndmin=1) + 0.0 + dims = (ideg + 1,) + x.shape + dtyp = x.dtype + v = np.empty(dims, dtype=dtyp) + v[0] = x * 0 + 1 + if ideg > 0: + v[1] = x + for i in range(2, ideg + 1): + v[i] = v[i - 1] * x + return np.moveaxis(v, 0, -1) + + +def polyvander2d(x, y, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y)``. The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (deg[1] + 1)*i + j] = x^i * y^j, + + where ``0 <= i <= deg[0]`` and ``0 <= j <= deg[1]``. The leading indices of + `V` index the points ``(x, y)`` and the last index encodes the powers of + `x` and `y`. + + If ``V = polyvander2d(x, y, [xdeg, ydeg])``, then the columns of `V` + correspond to the elements of a 2-D coefficient array `c` of shape + (xdeg + 1, ydeg + 1) in the order + + .. math:: c_{00}, c_{01}, c_{02} ... , c_{10}, c_{11}, c_{12} ... + + and ``np.dot(V, c.flat)`` and ``polyval2d(x, y, c)`` will be the same + up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 2-D polynomials + of the same degrees and sample points. + + Parameters + ---------- + x, y : array_like + Arrays of point coordinates, all of the same shape. The dtypes + will be converted to either float64 or complex128 depending on + whether any of the elements are complex. Scalars are converted to + 1-D arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg]. + + Returns + ------- + vander2d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg([1]+1)`. The dtype will be the same + as the converted `x` and `y`. + + See Also + -------- + polyvander, polyvander3d, polyval2d, polyval3d + + Examples + -------- + >>> import numpy as np + + The 2-D pseudo-Vandermonde matrix of degree ``[1, 2]`` and sample + points ``x = [-1, 2]`` and ``y = [1, 3]`` is as follows: + + >>> from numpy.polynomial import polynomial as P + >>> x = np.array([-1, 2]) + >>> y = np.array([1, 3]) + >>> m, n = 1, 2 + >>> deg = np.array([m, n]) + >>> V = P.polyvander2d(x=x, y=y, deg=deg) + >>> V + array([[ 1., 1., 1., -1., -1., -1.], + [ 1., 3., 9., 2., 6., 18.]]) + + We can verify the columns for any ``0 <= i <= m`` and ``0 <= j <= n``: + + >>> i, j = 0, 1 + >>> V[:, (deg[1]+1)*i + j] == x**i * y**j + array([ True, True]) + + The (1D) Vandermonde matrix of sample points ``x`` and degree ``m`` is a + special case of the (2D) pseudo-Vandermonde matrix with ``y`` points all + zero and degree ``[m, 0]``. + + >>> P.polyvander2d(x=x, y=0*x, deg=(m, 0)) == P.polyvander(x=x, deg=m) + array([[ True, True], + [ True, True]]) + + """ + return pu._vander_nd_flat((polyvander, polyvander), (x, y), deg) + + +def polyvander3d(x, y, z, deg): + """Pseudo-Vandermonde matrix of given degrees. + + Returns the pseudo-Vandermonde matrix of degrees `deg` and sample + points ``(x, y, z)``. If `l`, `m`, `n` are the given degrees in `x`, `y`, `z`, + then The pseudo-Vandermonde matrix is defined by + + .. math:: V[..., (m+1)(n+1)i + (n+1)j + k] = x^i * y^j * z^k, + + where ``0 <= i <= l``, ``0 <= j <= m``, and ``0 <= j <= n``. The leading + indices of `V` index the points ``(x, y, z)`` and the last index encodes + the powers of `x`, `y`, and `z`. + + If ``V = polyvander3d(x, y, z, [xdeg, ydeg, zdeg])``, then the columns + of `V` correspond to the elements of a 3-D coefficient array `c` of + shape (xdeg + 1, ydeg + 1, zdeg + 1) in the order + + .. math:: c_{000}, c_{001}, c_{002},... , c_{010}, c_{011}, c_{012},... + + and ``np.dot(V, c.flat)`` and ``polyval3d(x, y, z, c)`` will be the + same up to roundoff. This equivalence is useful both for least squares + fitting and for the evaluation of a large number of 3-D polynomials + of the same degrees and sample points. + + Parameters + ---------- + x, y, z : array_like + Arrays of point coordinates, all of the same shape. The dtypes will + be converted to either float64 or complex128 depending on whether + any of the elements are complex. Scalars are converted to 1-D + arrays. + deg : list of ints + List of maximum degrees of the form [x_deg, y_deg, z_deg]. + + Returns + ------- + vander3d : ndarray + The shape of the returned matrix is ``x.shape + (order,)``, where + :math:`order = (deg[0]+1)*(deg([1]+1)*(deg[2]+1)`. The dtype will + be the same as the converted `x`, `y`, and `z`. + + See Also + -------- + polyvander, polyvander3d, polyval2d, polyval3d + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial import polynomial as P + >>> x = np.asarray([-1, 2, 1]) + >>> y = np.asarray([1, -2, -3]) + >>> z = np.asarray([2, 2, 5]) + >>> l, m, n = [2, 2, 1] + >>> deg = [l, m, n] + >>> V = P.polyvander3d(x=x, y=y, z=z, deg=deg) + >>> V + array([[ 1., 2., 1., 2., 1., 2., -1., -2., -1., + -2., -1., -2., 1., 2., 1., 2., 1., 2.], + [ 1., 2., -2., -4., 4., 8., 2., 4., -4., + -8., 8., 16., 4., 8., -8., -16., 16., 32.], + [ 1., 5., -3., -15., 9., 45., 1., 5., -3., + -15., 9., 45., 1., 5., -3., -15., 9., 45.]]) + + We can verify the columns for any ``0 <= i <= l``, ``0 <= j <= m``, + and ``0 <= k <= n`` + + >>> i, j, k = 2, 1, 0 + >>> V[:, (m+1)*(n+1)*i + (n+1)*j + k] == x**i * y**j * z**k + array([ True, True, True]) + + """ + return pu._vander_nd_flat((polyvander, polyvander, polyvander), (x, y, z), deg) + + +def polyfit(x, y, deg, rcond=None, full=False, w=None): + """ + Least-squares fit of a polynomial to data. + + Return the coefficients of a polynomial of degree `deg` that is the + least squares fit to the data values `y` given at points `x`. If `y` is + 1-D the returned coefficients will also be 1-D. If `y` is 2-D multiple + fits are done, one for each column of `y`, and the resulting + coefficients are stored in the corresponding columns of a 2-D return. + The fitted polynomial(s) are in the form + + .. math:: p(x) = c_0 + c_1 * x + ... + c_n * x^n, + + where `n` is `deg`. + + Parameters + ---------- + x : array_like, shape (`M`,) + x-coordinates of the `M` sample (data) points ``(x[i], y[i])``. + y : array_like, shape (`M`,) or (`M`, `K`) + y-coordinates of the sample points. Several sets of sample points + sharing the same x-coordinates can be (independently) fit with one + call to `polyfit` by passing in for `y` a 2-D array that contains + one data set per column. + deg : int or 1-D array_like + Degree(s) of the fitting polynomials. If `deg` is a single integer + all terms up to and including the `deg`'th term are included in the + fit. For NumPy versions >= 1.11.0 a list of integers specifying the + degrees of the terms to include may be used instead. + rcond : float, optional + Relative condition number of the fit. Singular values smaller + than `rcond`, relative to the largest singular value, will be + ignored. The default value is ``len(x)*eps``, where `eps` is the + relative precision of the platform's float type, about 2e-16 in + most cases. + full : bool, optional + Switch determining the nature of the return value. When ``False`` + (the default) just the coefficients are returned; when ``True``, + diagnostic information from the singular value decomposition (used + to solve the fit's matrix equation) is also returned. + w : array_like, shape (`M`,), optional + Weights. If not None, the weight ``w[i]`` applies to the unsquared + residual ``y[i] - y_hat[i]`` at ``x[i]``. Ideally the weights are + chosen so that the errors of the products ``w[i]*y[i]`` all have the + same variance. When using inverse-variance weighting, use + ``w[i] = 1/sigma(y[i])``. The default value is None. + + Returns + ------- + coef : ndarray, shape (`deg` + 1,) or (`deg` + 1, `K`) + Polynomial coefficients ordered from low to high. If `y` was 2-D, + the coefficients in column `k` of `coef` represent the polynomial + fit to the data in `y`'s `k`-th column. + + [residuals, rank, singular_values, rcond] : list + These values are only returned if ``full == True`` + + - residuals -- sum of squared residuals of the least squares fit + - rank -- the numerical rank of the scaled Vandermonde matrix + - singular_values -- singular values of the scaled Vandermonde matrix + - rcond -- value of `rcond`. + + For more details, see `numpy.linalg.lstsq`. + + Raises + ------ + RankWarning + Raised if the matrix in the least-squares fit is rank deficient. + The warning is only raised if ``full == False``. The warnings can + be turned off by: + + >>> import warnings + >>> warnings.simplefilter('ignore', np.exceptions.RankWarning) + + See Also + -------- + numpy.polynomial.chebyshev.chebfit + numpy.polynomial.legendre.legfit + numpy.polynomial.laguerre.lagfit + numpy.polynomial.hermite.hermfit + numpy.polynomial.hermite_e.hermefit + polyval : Evaluates a polynomial. + polyvander : Vandermonde matrix for powers. + numpy.linalg.lstsq : Computes a least-squares fit from the matrix. + scipy.interpolate.UnivariateSpline : Computes spline fits. + + Notes + ----- + The solution is the coefficients of the polynomial `p` that minimizes + the sum of the weighted squared errors + + .. math:: E = \\sum_j w_j^2 * |y_j - p(x_j)|^2, + + where the :math:`w_j` are the weights. This problem is solved by + setting up the (typically) over-determined matrix equation: + + .. math:: V(x) * c = w * y, + + where `V` is the weighted pseudo Vandermonde matrix of `x`, `c` are the + coefficients to be solved for, `w` are the weights, and `y` are the + observed values. This equation is then solved using the singular value + decomposition of `V`. + + If some of the singular values of `V` are so small that they are + neglected (and `full` == ``False``), a `~exceptions.RankWarning` will be + raised. This means that the coefficient values may be poorly determined. + Fitting to a lower order polynomial will usually get rid of the warning + (but may not be what you want, of course; if you have independent + reason(s) for choosing the degree which isn't working, you may have to: + a) reconsider those reasons, and/or b) reconsider the quality of your + data). The `rcond` parameter can also be set to a value smaller than + its default, but the resulting fit may be spurious and have large + contributions from roundoff error. + + Polynomial fits using double precision tend to "fail" at about + (polynomial) degree 20. Fits using Chebyshev or Legendre series are + generally better conditioned, but much can still depend on the + distribution of the sample points and the smoothness of the data. If + the quality of the fit is inadequate, splines may be a good + alternative. + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial import polynomial as P + >>> x = np.linspace(-1,1,51) # x "data": [-1, -0.96, ..., 0.96, 1] + >>> rng = np.random.default_rng() + >>> err = rng.normal(size=len(x)) + >>> y = x**3 - x + err # x^3 - x + Gaussian noise + >>> c, stats = P.polyfit(x,y,3,full=True) + >>> c # c[0], c[1] approx. -1, c[2] should be approx. 0, c[3] approx. 1 + array([ 0.23111996, -1.02785049, -0.2241444 , 1.08405657]) # may vary + >>> stats # note the large SSR, explaining the rather poor results + [array([48.312088]), # may vary + 4, + array([1.38446749, 1.32119158, 0.50443316, 0.28853036]), + 1.1324274851176597e-14] + + Same thing without the added noise + + >>> y = x**3 - x + >>> c, stats = P.polyfit(x,y,3,full=True) + >>> c # c[0], c[1] ~= -1, c[2] should be "very close to 0", c[3] ~= 1 + array([-6.73496154e-17, -1.00000000e+00, 0.00000000e+00, 1.00000000e+00]) + >>> stats # note the minuscule SSR + [array([8.79579319e-31]), + np.int32(4), + array([1.38446749, 1.32119158, 0.50443316, 0.28853036]), + 1.1324274851176597e-14] + + """ + return pu._fit(polyvander, x, y, deg, rcond, full, w) + + +def polycompanion(c): + """ + Return the companion matrix of c. + + The companion matrix for power series cannot be made symmetric by + scaling the basis, so this function differs from those for the + orthogonal polynomials. + + Parameters + ---------- + c : array_like + 1-D array of polynomial coefficients ordered from low to high + degree. + + Returns + ------- + mat : ndarray + Companion matrix of dimensions (deg, deg). + + Examples + -------- + >>> from numpy.polynomial import polynomial as P + >>> c = (1, 2, 3) + >>> P.polycompanion(c) + array([[ 0. , -0.33333333], + [ 1. , -0.66666667]]) + + """ + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) < 2: + raise ValueError('Series must have maximum degree of at least 1.') + if len(c) == 2: + return np.array([[-c[0] / c[1]]]) + + n = len(c) - 1 + mat = np.zeros((n, n), dtype=c.dtype) + bot = mat.reshape(-1)[n::n + 1] + bot[...] = 1 + mat[:, -1] -= c[:-1] / c[-1] + return mat + + +def polyroots(c): + """ + Compute the roots of a polynomial. + + Return the roots (a.k.a. "zeros") of the polynomial + + .. math:: p(x) = \\sum_i c[i] * x^i. + + Parameters + ---------- + c : 1-D array_like + 1-D array of polynomial coefficients. + + Returns + ------- + out : ndarray + Array of the roots of the polynomial. If all the roots are real, + then `out` is also real, otherwise it is complex. + + See Also + -------- + numpy.polynomial.chebyshev.chebroots + numpy.polynomial.legendre.legroots + numpy.polynomial.laguerre.lagroots + numpy.polynomial.hermite.hermroots + numpy.polynomial.hermite_e.hermeroots + + Notes + ----- + The root estimates are obtained as the eigenvalues of the companion + matrix, Roots far from the origin of the complex plane may have large + errors due to the numerical instability of the power series for such + values. Roots with multiplicity greater than 1 will also show larger + errors as the value of the series near such points is relatively + insensitive to errors in the roots. Isolated roots near the origin can + be improved by a few iterations of Newton's method. + + Examples + -------- + >>> import numpy.polynomial.polynomial as poly + >>> poly.polyroots(poly.polyfromroots((-1,0,1))) + array([-1., 0., 1.]) + >>> poly.polyroots(poly.polyfromroots((-1,0,1))).dtype + dtype('float64') + >>> j = complex(0,1) + >>> poly.polyroots(poly.polyfromroots((-j,0,j))) + array([ 0.00000000e+00+0.j, 0.00000000e+00+1.j, 2.77555756e-17-1.j]) # may vary + + """ # noqa: E501 + # c is a trimmed copy + [c] = pu.as_series([c]) + if len(c) < 2: + return np.array([], dtype=c.dtype) + if len(c) == 2: + return np.array([-c[0] / c[1]]) + + m = polycompanion(c) + r = np.linalg.eigvals(m) + r.sort() + return r + + +# +# polynomial class +# + +class Polynomial(ABCPolyBase): + """A power series class. + + The Polynomial class provides the standard Python numerical methods + '+', '-', '*', '//', '%', 'divmod', '**', and '()' as well as the + attributes and methods listed below. + + Parameters + ---------- + coef : array_like + Polynomial coefficients in order of increasing degree, i.e., + ``(1, 2, 3)`` give ``1 + 2*x + 3*x**2``. + domain : (2,) array_like, optional + Domain to use. The interval ``[domain[0], domain[1]]`` is mapped + to the interval ``[window[0], window[1]]`` by shifting and scaling. + The default value is [-1., 1.]. + window : (2,) array_like, optional + Window, see `domain` for its use. The default value is [-1., 1.]. + symbol : str, optional + Symbol used to represent the independent variable in string + representations of the polynomial expression, e.g. for printing. + The symbol must be a valid Python identifier. Default value is 'x'. + + .. versionadded:: 1.24 + + """ + # Virtual Functions + _add = staticmethod(polyadd) + _sub = staticmethod(polysub) + _mul = staticmethod(polymul) + _div = staticmethod(polydiv) + _pow = staticmethod(polypow) + _val = staticmethod(polyval) + _int = staticmethod(polyint) + _der = staticmethod(polyder) + _fit = staticmethod(polyfit) + _line = staticmethod(polyline) + _roots = staticmethod(polyroots) + _fromroots = staticmethod(polyfromroots) + + # Virtual properties + domain = np.array(polydomain) + window = np.array(polydomain) + basis_name = None + + @classmethod + def _str_term_unicode(cls, i, arg_str): + if i == '1': + return f"·{arg_str}" + else: + return f"·{arg_str}{i.translate(cls._superscript_mapping)}" + + @staticmethod + def _str_term_ascii(i, arg_str): + if i == '1': + return f" {arg_str}" + else: + return f" {arg_str}**{i}" + + @staticmethod + def _repr_latex_term(i, arg_str, needs_parens): + if needs_parens: + arg_str = rf"\left({arg_str}\right)" + if i == 0: + return '1' + elif i == 1: + return arg_str + else: + return f"{arg_str}^{{{i}}}" diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polynomial.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polynomial.pyi new file mode 100644 index 0000000000000000000000000000000000000000..86f288468a150711f78951aa677a01300c2d59cb --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polynomial.pyi @@ -0,0 +1,109 @@ +from typing import Any, ClassVar, Final, overload + +import numpy as np +import numpy.typing as npt +from numpy._typing import ( + _ArrayLikeFloat_co, + _ArrayLikeNumber_co, + _FloatLike_co, + _NumberLike_co, +) + +from ._polybase import ABCPolyBase +from ._polytypes import ( + _Array1, + _Array2, + _ArrayLikeCoef_co, + _FuncBinOp, + _FuncCompanion, + _FuncDer, + _FuncFit, + _FuncFromRoots, + _FuncInteg, + _FuncLine, + _FuncPow, + _FuncRoots, + _FuncUnOp, + _FuncVal, + _FuncVal2D, + _FuncVal3D, + _FuncVander, + _FuncVander2D, + _FuncVander3D, +) +from .polyutils import trimcoef as polytrim + +__all__ = [ + "polyzero", + "polyone", + "polyx", + "polydomain", + "polyline", + "polyadd", + "polysub", + "polymulx", + "polymul", + "polydiv", + "polypow", + "polyval", + "polyvalfromroots", + "polyder", + "polyint", + "polyfromroots", + "polyvander", + "polyfit", + "polytrim", + "polyroots", + "Polynomial", + "polyval2d", + "polyval3d", + "polygrid2d", + "polygrid3d", + "polyvander2d", + "polyvander3d", + "polycompanion", +] + +polydomain: Final[_Array2[np.float64]] = ... +polyzero: Final[_Array1[np.int_]] = ... +polyone: Final[_Array1[np.int_]] = ... +polyx: Final[_Array2[np.int_]] = ... + +polyline: Final[_FuncLine] = ... +polyfromroots: Final[_FuncFromRoots] = ... +polyadd: Final[_FuncBinOp] = ... +polysub: Final[_FuncBinOp] = ... +polymulx: Final[_FuncUnOp] = ... +polymul: Final[_FuncBinOp] = ... +polydiv: Final[_FuncBinOp] = ... +polypow: Final[_FuncPow] = ... +polyder: Final[_FuncDer] = ... +polyint: Final[_FuncInteg] = ... +polyval: Final[_FuncVal] = ... +polyval2d: Final[_FuncVal2D] = ... +polyval3d: Final[_FuncVal3D] = ... + +@overload +def polyvalfromroots(x: _FloatLike_co, r: _FloatLike_co, tensor: bool = True) -> np.float64 | Any: ... +@overload +def polyvalfromroots(x: _NumberLike_co, r: _NumberLike_co, tensor: bool = True) -> np.complex128 | Any: ... +@overload +def polyvalfromroots(x: _ArrayLikeFloat_co, r: _ArrayLikeFloat_co, tensor: bool = True) -> npt.NDArray[np.float64 | Any]: ... +@overload +def polyvalfromroots(x: _ArrayLikeNumber_co, r: _ArrayLikeNumber_co, tensor: bool = True) -> npt.NDArray[np.complex128 | Any]: ... +@overload +def polyvalfromroots(x: _ArrayLikeCoef_co, r: _ArrayLikeCoef_co, tensor: bool = True) -> npt.NDArray[np.object_ | Any]: ... + +polygrid2d: Final[_FuncVal2D] = ... +polygrid3d: Final[_FuncVal3D] = ... +polyvander: Final[_FuncVander] = ... +polyvander2d: Final[_FuncVander2D] = ... +polyvander3d: Final[_FuncVander3D] = ... +polyfit: Final[_FuncFit] = ... +polycompanion: Final[_FuncCompanion] = ... +polyroots: Final[_FuncRoots] = ... + +class Polynomial(ABCPolyBase[None]): + basis_name: ClassVar[None] = None # pyright: ignore[reportIncompatibleMethodOverride] + domain: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] + window: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polyutils.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polyutils.py new file mode 100644 index 0000000000000000000000000000000000000000..5e0e1af973ae672d61d9dfca19d528e015b2ee3d --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polyutils.py @@ -0,0 +1,759 @@ +""" +Utility classes and functions for the polynomial modules. + +This module provides: error and warning objects; a polynomial base class; +and some routines used in both the `polynomial` and `chebyshev` modules. + +Functions +--------- + +.. autosummary:: + :toctree: generated/ + + as_series convert list of array_likes into 1-D arrays of common type. + trimseq remove trailing zeros. + trimcoef remove small trailing coefficients. + getdomain return the domain appropriate for a given set of abscissae. + mapdomain maps points between domains. + mapparms parameters of the linear map between domains. + +""" +import functools +import operator +import warnings + +import numpy as np + +__all__ = [ + 'as_series', 'trimseq', 'trimcoef', 'getdomain', 'mapdomain', 'mapparms', + 'format_float'] + +# +# Helper functions to convert inputs to 1-D arrays +# +def trimseq(seq): + """Remove small Poly series coefficients. + + Parameters + ---------- + seq : sequence + Sequence of Poly series coefficients. + + Returns + ------- + series : sequence + Subsequence with trailing zeros removed. If the resulting sequence + would be empty, return the first element. The returned sequence may + or may not be a view. + + Notes + ----- + Do not lose the type info if the sequence contains unknown objects. + + """ + if len(seq) == 0 or seq[-1] != 0: + return seq + else: + for i in range(len(seq) - 1, -1, -1): + if seq[i] != 0: + break + return seq[:i + 1] + + +def as_series(alist, trim=True): + """ + Return argument as a list of 1-d arrays. + + The returned list contains array(s) of dtype double, complex double, or + object. A 1-d argument of shape ``(N,)`` is parsed into ``N`` arrays of + size one; a 2-d argument of shape ``(M,N)`` is parsed into ``M`` arrays + of size ``N`` (i.e., is "parsed by row"); and a higher dimensional array + raises a Value Error if it is not first reshaped into either a 1-d or 2-d + array. + + Parameters + ---------- + alist : array_like + A 1- or 2-d array_like + trim : boolean, optional + When True, trailing zeros are removed from the inputs. + When False, the inputs are passed through intact. + + Returns + ------- + [a1, a2,...] : list of 1-D arrays + A copy of the input data as a list of 1-d arrays. + + Raises + ------ + ValueError + Raised when `as_series` cannot convert its input to 1-d arrays, or at + least one of the resulting arrays is empty. + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial import polyutils as pu + >>> a = np.arange(4) + >>> pu.as_series(a) + [array([0.]), array([1.]), array([2.]), array([3.])] + >>> b = np.arange(6).reshape((2,3)) + >>> pu.as_series(b) + [array([0., 1., 2.]), array([3., 4., 5.])] + + >>> pu.as_series((1, np.arange(3), np.arange(2, dtype=np.float16))) + [array([1.]), array([0., 1., 2.]), array([0., 1.])] + + >>> pu.as_series([2, [1.1, 0.]]) + [array([2.]), array([1.1])] + + >>> pu.as_series([2, [1.1, 0.]], trim=False) + [array([2.]), array([1.1, 0. ])] + + """ + arrays = [np.array(a, ndmin=1, copy=None) for a in alist] + for a in arrays: + if a.size == 0: + raise ValueError("Coefficient array is empty") + if a.ndim != 1: + raise ValueError("Coefficient array is not 1-d") + if trim: + arrays = [trimseq(a) for a in arrays] + + try: + dtype = np.common_type(*arrays) + except Exception as e: + object_dtype = np.dtypes.ObjectDType() + has_one_object_type = False + ret = [] + for a in arrays: + if a.dtype != object_dtype: + tmp = np.empty(len(a), dtype=object_dtype) + tmp[:] = a[:] + ret.append(tmp) + else: + has_one_object_type = True + ret.append(a.copy()) + if not has_one_object_type: + raise ValueError("Coefficient arrays have no common type") from e + else: + ret = [np.array(a, copy=True, dtype=dtype) for a in arrays] + return ret + + +def trimcoef(c, tol=0): + """ + Remove "small" "trailing" coefficients from a polynomial. + + "Small" means "small in absolute value" and is controlled by the + parameter `tol`; "trailing" means highest order coefficient(s), e.g., in + ``[0, 1, 1, 0, 0]`` (which represents ``0 + x + x**2 + 0*x**3 + 0*x**4``) + both the 3-rd and 4-th order coefficients would be "trimmed." + + Parameters + ---------- + c : array_like + 1-d array of coefficients, ordered from lowest order to highest. + tol : number, optional + Trailing (i.e., highest order) elements with absolute value less + than or equal to `tol` (default value is zero) are removed. + + Returns + ------- + trimmed : ndarray + 1-d array with trailing zeros removed. If the resulting series + would be empty, a series containing a single zero is returned. + + Raises + ------ + ValueError + If `tol` < 0 + + Examples + -------- + >>> from numpy.polynomial import polyutils as pu + >>> pu.trimcoef((0,0,3,0,5,0,0)) + array([0., 0., 3., 0., 5.]) + >>> pu.trimcoef((0,0,1e-3,0,1e-5,0,0),1e-3) # item == tol is trimmed + array([0.]) + >>> i = complex(0,1) # works for complex + >>> pu.trimcoef((3e-4,1e-3*(1-i),5e-4,2e-5*(1+i)), 1e-3) + array([0.0003+0.j , 0.001 -0.001j]) + + """ + if tol < 0: + raise ValueError("tol must be non-negative") + + [c] = as_series([c]) + [ind] = np.nonzero(np.abs(c) > tol) + if len(ind) == 0: + return c[:1] * 0 + else: + return c[:ind[-1] + 1].copy() + +def getdomain(x): + """ + Return a domain suitable for given abscissae. + + Find a domain suitable for a polynomial or Chebyshev series + defined at the values supplied. + + Parameters + ---------- + x : array_like + 1-d array of abscissae whose domain will be determined. + + Returns + ------- + domain : ndarray + 1-d array containing two values. If the inputs are complex, then + the two returned points are the lower left and upper right corners + of the smallest rectangle (aligned with the axes) in the complex + plane containing the points `x`. If the inputs are real, then the + two points are the ends of the smallest interval containing the + points `x`. + + See Also + -------- + mapparms, mapdomain + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial import polyutils as pu + >>> points = np.arange(4)**2 - 5; points + array([-5, -4, -1, 4]) + >>> pu.getdomain(points) + array([-5., 4.]) + >>> c = np.exp(complex(0,1)*np.pi*np.arange(12)/6) # unit circle + >>> pu.getdomain(c) + array([-1.-1.j, 1.+1.j]) + + """ + [x] = as_series([x], trim=False) + if x.dtype.char in np.typecodes['Complex']: + rmin, rmax = x.real.min(), x.real.max() + imin, imax = x.imag.min(), x.imag.max() + return np.array((complex(rmin, imin), complex(rmax, imax))) + else: + return np.array((x.min(), x.max())) + +def mapparms(old, new): + """ + Linear map parameters between domains. + + Return the parameters of the linear map ``offset + scale*x`` that maps + `old` to `new` such that ``old[i] -> new[i]``, ``i = 0, 1``. + + Parameters + ---------- + old, new : array_like + Domains. Each domain must (successfully) convert to a 1-d array + containing precisely two values. + + Returns + ------- + offset, scale : scalars + The map ``L(x) = offset + scale*x`` maps the first domain to the + second. + + See Also + -------- + getdomain, mapdomain + + Notes + ----- + Also works for complex numbers, and thus can be used to calculate the + parameters required to map any line in the complex plane to any other + line therein. + + Examples + -------- + >>> from numpy.polynomial import polyutils as pu + >>> pu.mapparms((-1,1),(-1,1)) + (0.0, 1.0) + >>> pu.mapparms((1,-1),(-1,1)) + (-0.0, -1.0) + >>> i = complex(0,1) + >>> pu.mapparms((-i,-1),(1,i)) + ((1+1j), (1-0j)) + + """ + oldlen = old[1] - old[0] + newlen = new[1] - new[0] + off = (old[1] * new[0] - old[0] * new[1]) / oldlen + scl = newlen / oldlen + return off, scl + +def mapdomain(x, old, new): + """ + Apply linear map to input points. + + The linear map ``offset + scale*x`` that maps the domain `old` to + the domain `new` is applied to the points `x`. + + Parameters + ---------- + x : array_like + Points to be mapped. If `x` is a subtype of ndarray the subtype + will be preserved. + old, new : array_like + The two domains that determine the map. Each must (successfully) + convert to 1-d arrays containing precisely two values. + + Returns + ------- + x_out : ndarray + Array of points of the same shape as `x`, after application of the + linear map between the two domains. + + See Also + -------- + getdomain, mapparms + + Notes + ----- + Effectively, this implements: + + .. math:: + x\\_out = new[0] + m(x - old[0]) + + where + + .. math:: + m = \\frac{new[1]-new[0]}{old[1]-old[0]} + + Examples + -------- + >>> import numpy as np + >>> from numpy.polynomial import polyutils as pu + >>> old_domain = (-1,1) + >>> new_domain = (0,2*np.pi) + >>> x = np.linspace(-1,1,6); x + array([-1. , -0.6, -0.2, 0.2, 0.6, 1. ]) + >>> x_out = pu.mapdomain(x, old_domain, new_domain); x_out + array([ 0. , 1.25663706, 2.51327412, 3.76991118, 5.02654825, # may vary + 6.28318531]) + >>> x - pu.mapdomain(x_out, new_domain, old_domain) + array([0., 0., 0., 0., 0., 0.]) + + Also works for complex numbers (and thus can be used to map any line in + the complex plane to any other line therein). + + >>> i = complex(0,1) + >>> old = (-1 - i, 1 + i) + >>> new = (-1 + i, 1 - i) + >>> z = np.linspace(old[0], old[1], 6); z + array([-1. -1.j , -0.6-0.6j, -0.2-0.2j, 0.2+0.2j, 0.6+0.6j, 1. +1.j ]) + >>> new_z = pu.mapdomain(z, old, new); new_z + array([-1.0+1.j , -0.6+0.6j, -0.2+0.2j, 0.2-0.2j, 0.6-0.6j, 1.0-1.j ]) # may vary + + """ + if type(x) not in (int, float, complex) and not isinstance(x, np.generic): + x = np.asanyarray(x) + off, scl = mapparms(old, new) + return off + scl * x + + +def _nth_slice(i, ndim): + sl = [np.newaxis] * ndim + sl[i] = slice(None) + return tuple(sl) + + +def _vander_nd(vander_fs, points, degrees): + r""" + A generalization of the Vandermonde matrix for N dimensions + + The result is built by combining the results of 1d Vandermonde matrices, + + .. math:: + W[i_0, \ldots, i_M, j_0, \ldots, j_N] = \prod_{k=0}^N{V_k(x_k)[i_0, \ldots, i_M, j_k]} + + where + + .. math:: + N &= \texttt{len(points)} = \texttt{len(degrees)} = \texttt{len(vander\_fs)} \\ + M &= \texttt{points[k].ndim} \\ + V_k &= \texttt{vander\_fs[k]} \\ + x_k &= \texttt{points[k]} \\ + 0 \le j_k &\le \texttt{degrees[k]} + + Expanding the one-dimensional :math:`V_k` functions gives: + + .. math:: + W[i_0, \ldots, i_M, j_0, \ldots, j_N] = \prod_{k=0}^N{B_{k, j_k}(x_k[i_0, \ldots, i_M])} + + where :math:`B_{k,m}` is the m'th basis of the polynomial construction used along + dimension :math:`k`. For a regular polynomial, :math:`B_{k, m}(x) = P_m(x) = x^m`. + + Parameters + ---------- + vander_fs : Sequence[function(array_like, int) -> ndarray] + The 1d vander function to use for each axis, such as ``polyvander`` + points : Sequence[array_like] + Arrays of point coordinates, all of the same shape. The dtypes + will be converted to either float64 or complex128 depending on + whether any of the elements are complex. Scalars are converted to + 1-D arrays. + This must be the same length as `vander_fs`. + degrees : Sequence[int] + The maximum degree (inclusive) to use for each axis. + This must be the same length as `vander_fs`. + + Returns + ------- + vander_nd : ndarray + An array of shape ``points[0].shape + tuple(d + 1 for d in degrees)``. + """ # noqa: E501 + n_dims = len(vander_fs) + if n_dims != len(points): + raise ValueError( + f"Expected {n_dims} dimensions of sample points, got {len(points)}") + if n_dims != len(degrees): + raise ValueError( + f"Expected {n_dims} dimensions of degrees, got {len(degrees)}") + if n_dims == 0: + raise ValueError("Unable to guess a dtype or shape when no points are given") + + # convert to the same shape and type + points = tuple(np.asarray(tuple(points)) + 0.0) + + # produce the vandermonde matrix for each dimension, placing the last + # axis of each in an independent trailing axis of the output + vander_arrays = ( + vander_fs[i](points[i], degrees[i])[(...,) + _nth_slice(i, n_dims)] + for i in range(n_dims) + ) + + # we checked this wasn't empty already, so no `initial` needed + return functools.reduce(operator.mul, vander_arrays) + + +def _vander_nd_flat(vander_fs, points, degrees): + """ + Like `_vander_nd`, but flattens the last ``len(degrees)`` axes into a single axis + + Used to implement the public ``vanderd`` functions. + """ + v = _vander_nd(vander_fs, points, degrees) + return v.reshape(v.shape[:-len(degrees)] + (-1,)) + + +def _fromroots(line_f, mul_f, roots): + """ + Helper function used to implement the ``fromroots`` functions. + + Parameters + ---------- + line_f : function(float, float) -> ndarray + The ``line`` function, such as ``polyline`` + mul_f : function(array_like, array_like) -> ndarray + The ``mul`` function, such as ``polymul`` + roots + See the ``fromroots`` functions for more detail + """ + if len(roots) == 0: + return np.ones(1) + else: + [roots] = as_series([roots], trim=False) + roots.sort() + p = [line_f(-r, 1) for r in roots] + n = len(p) + while n > 1: + m, r = divmod(n, 2) + tmp = [mul_f(p[i], p[i + m]) for i in range(m)] + if r: + tmp[0] = mul_f(tmp[0], p[-1]) + p = tmp + n = m + return p[0] + + +def _valnd(val_f, c, *args): + """ + Helper function used to implement the ``vald`` functions. + + Parameters + ---------- + val_f : function(array_like, array_like, tensor: bool) -> array_like + The ``val`` function, such as ``polyval`` + c, args + See the ``vald`` functions for more detail + """ + args = [np.asanyarray(a) for a in args] + shape0 = args[0].shape + if not all(a.shape == shape0 for a in args[1:]): + if len(args) == 3: + raise ValueError('x, y, z are incompatible') + elif len(args) == 2: + raise ValueError('x, y are incompatible') + else: + raise ValueError('ordinates are incompatible') + it = iter(args) + x0 = next(it) + + # use tensor on only the first + c = val_f(x0, c) + for xi in it: + c = val_f(xi, c, tensor=False) + return c + + +def _gridnd(val_f, c, *args): + """ + Helper function used to implement the ``gridd`` functions. + + Parameters + ---------- + val_f : function(array_like, array_like, tensor: bool) -> array_like + The ``val`` function, such as ``polyval`` + c, args + See the ``gridd`` functions for more detail + """ + for xi in args: + c = val_f(xi, c) + return c + + +def _div(mul_f, c1, c2): + """ + Helper function used to implement the ``div`` functions. + + Implementation uses repeated subtraction of c2 multiplied by the nth basis. + For some polynomial types, a more efficient approach may be possible. + + Parameters + ---------- + mul_f : function(array_like, array_like) -> array_like + The ``mul`` function, such as ``polymul`` + c1, c2 + See the ``div`` functions for more detail + """ + # c1, c2 are trimmed copies + [c1, c2] = as_series([c1, c2]) + if c2[-1] == 0: + raise ZeroDivisionError # FIXME: add message with details to exception + + lc1 = len(c1) + lc2 = len(c2) + if lc1 < lc2: + return c1[:1] * 0, c1 + elif lc2 == 1: + return c1 / c2[-1], c1[:1] * 0 + else: + quo = np.empty(lc1 - lc2 + 1, dtype=c1.dtype) + rem = c1 + for i in range(lc1 - lc2, - 1, -1): + p = mul_f([0] * i + [1], c2) + q = rem[-1] / p[-1] + rem = rem[:-1] - q * p[:-1] + quo[i] = q + return quo, trimseq(rem) + + +def _add(c1, c2): + """ Helper function used to implement the ``add`` functions. """ + # c1, c2 are trimmed copies + [c1, c2] = as_series([c1, c2]) + if len(c1) > len(c2): + c1[:c2.size] += c2 + ret = c1 + else: + c2[:c1.size] += c1 + ret = c2 + return trimseq(ret) + + +def _sub(c1, c2): + """ Helper function used to implement the ``sub`` functions. """ + # c1, c2 are trimmed copies + [c1, c2] = as_series([c1, c2]) + if len(c1) > len(c2): + c1[:c2.size] -= c2 + ret = c1 + else: + c2 = -c2 + c2[:c1.size] += c1 + ret = c2 + return trimseq(ret) + + +def _fit(vander_f, x, y, deg, rcond=None, full=False, w=None): + """ + Helper function used to implement the ``fit`` functions. + + Parameters + ---------- + vander_f : function(array_like, int) -> ndarray + The 1d vander function, such as ``polyvander`` + c1, c2 + See the ``fit`` functions for more detail + """ + x = np.asarray(x) + 0.0 + y = np.asarray(y) + 0.0 + deg = np.asarray(deg) + + # check arguments. + if deg.ndim > 1 or deg.dtype.kind not in 'iu' or deg.size == 0: + raise TypeError("deg must be an int or non-empty 1-D array of int") + if deg.min() < 0: + raise ValueError("expected deg >= 0") + if x.ndim != 1: + raise TypeError("expected 1D vector for x") + if x.size == 0: + raise TypeError("expected non-empty vector for x") + if y.ndim < 1 or y.ndim > 2: + raise TypeError("expected 1D or 2D array for y") + if len(x) != len(y): + raise TypeError("expected x and y to have same length") + + if deg.ndim == 0: + lmax = deg + order = lmax + 1 + van = vander_f(x, lmax) + else: + deg = np.sort(deg) + lmax = deg[-1] + order = len(deg) + van = vander_f(x, lmax)[:, deg] + + # set up the least squares matrices in transposed form + lhs = van.T + rhs = y.T + if w is not None: + w = np.asarray(w) + 0.0 + if w.ndim != 1: + raise TypeError("expected 1D vector for w") + if len(x) != len(w): + raise TypeError("expected x and w to have same length") + # apply weights. Don't use inplace operations as they + # can cause problems with NA. + lhs = lhs * w + rhs = rhs * w + + # set rcond + if rcond is None: + rcond = len(x) * np.finfo(x.dtype).eps + + # Determine the norms of the design matrix columns. + if issubclass(lhs.dtype.type, np.complexfloating): + scl = np.sqrt((np.square(lhs.real) + np.square(lhs.imag)).sum(1)) + else: + scl = np.sqrt(np.square(lhs).sum(1)) + scl[scl == 0] = 1 + + # Solve the least squares problem. + c, resids, rank, s = np.linalg.lstsq(lhs.T / scl, rhs.T, rcond) + c = (c.T / scl).T + + # Expand c to include non-fitted coefficients which are set to zero + if deg.ndim > 0: + if c.ndim == 2: + cc = np.zeros((lmax + 1, c.shape[1]), dtype=c.dtype) + else: + cc = np.zeros(lmax + 1, dtype=c.dtype) + cc[deg] = c + c = cc + + # warn on rank reduction + if rank != order and not full: + msg = "The fit may be poorly conditioned" + warnings.warn(msg, np.exceptions.RankWarning, stacklevel=2) + + if full: + return c, [resids, rank, s, rcond] + else: + return c + + +def _pow(mul_f, c, pow, maxpower): + """ + Helper function used to implement the ``pow`` functions. + + Parameters + ---------- + mul_f : function(array_like, array_like) -> ndarray + The ``mul`` function, such as ``polymul`` + c : array_like + 1-D array of array of series coefficients + pow, maxpower + See the ``pow`` functions for more detail + """ + # c is a trimmed copy + [c] = as_series([c]) + power = int(pow) + if power != pow or power < 0: + raise ValueError("Power must be a non-negative integer.") + elif maxpower is not None and power > maxpower: + raise ValueError("Power is too large") + elif power == 0: + return np.array([1], dtype=c.dtype) + elif power == 1: + return c + else: + # This can be made more efficient by using powers of two + # in the usual way. + prd = c + for i in range(2, power + 1): + prd = mul_f(prd, c) + return prd + + +def _as_int(x, desc): + """ + Like `operator.index`, but emits a custom exception when passed an + incorrect type + + Parameters + ---------- + x : int-like + Value to interpret as an integer + desc : str + description to include in any error message + + Raises + ------ + TypeError : if x is a float or non-numeric + """ + try: + return operator.index(x) + except TypeError as e: + raise TypeError(f"{desc} must be an integer, received {x}") from e + + +def format_float(x, parens=False): + from numpy._core.multiarray import dragon4_positional, dragon4_scientific + + if not np.issubdtype(type(x), np.floating): + return str(x) + + opts = np.get_printoptions() + + if np.isnan(x): + return opts['nanstr'] + elif np.isinf(x): + return opts['infstr'] + + exp_format = False + if x != 0: + a = np.abs(x) + if a >= 1.e8 or a < 10**min(0, -(opts['precision'] - 1) // 2): + exp_format = True + + trim, unique = '0', True + if opts['floatmode'] == 'fixed': + trim, unique = 'k', False + + if exp_format: + s = dragon4_scientific(x, precision=opts['precision'], + unique=unique, trim=trim, + sign=opts['sign'] == '+') + if parens: + s = '(' + s + ')' + else: + s = dragon4_positional(x, precision=opts['precision'], + fractional=True, + unique=unique, trim=trim, + sign=opts['sign'] == '+') + return s diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polyutils.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polyutils.pyi new file mode 100644 index 0000000000000000000000000000000000000000..79ca317c12b01d4651276c3ac14e1862a4e1e9b9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/polyutils.pyi @@ -0,0 +1,307 @@ +from collections.abc import Callable, Iterable, Sequence +from typing import ( + Final, + Literal, + Protocol, + SupportsIndex, + TypeAlias, + TypeVar, + overload, + type_check_only, +) + +import numpy as np +import numpy.typing as npt +from numpy._typing import ( + _ArrayLikeComplex_co, + _ArrayLikeFloat_co, + _ArrayLikeObject_co, + _FloatLike_co, + _NumberLike_co, +) + +from ._polytypes import ( + _AnyInt, + _Array2, + _ArrayLikeCoef_co, + _CoefArray, + _CoefLike_co, + _CoefSeries, + _ComplexArray, + _ComplexSeries, + _FloatArray, + _FloatSeries, + _FuncBinOp, + _ObjectArray, + _ObjectSeries, + _SeriesLikeCoef_co, + _SeriesLikeComplex_co, + _SeriesLikeFloat_co, + _SeriesLikeInt_co, + _SeriesLikeObject_co, + _Tuple2, +) + +__all__ = ["as_series", "format_float", "getdomain", "mapdomain", "mapparms", "trimcoef", "trimseq"] + +_T = TypeVar("_T") +_SeqT = TypeVar("_SeqT", bound=_CoefArray | Sequence[_CoefLike_co]) + +_AnyLineF: TypeAlias = Callable[[float, float], _CoefArray] +_AnyMulF: TypeAlias = Callable[[np.ndarray | list[int], np.ndarray], _CoefArray] +_AnyVanderF: TypeAlias = Callable[[np.ndarray, int], _CoefArray] + +@type_check_only +class _ValFunc(Protocol[_T]): + def __call__(self, x: np.ndarray, c: _T, /, *, tensor: bool = True) -> _T: ... + +### + +@overload +def as_series(alist: npt.NDArray[np.integer] | _FloatArray, trim: bool = True) -> list[_FloatSeries]: ... +@overload +def as_series(alist: _ComplexArray, trim: bool = True) -> list[_ComplexSeries]: ... +@overload +def as_series(alist: _ObjectArray, trim: bool = True) -> list[_ObjectSeries]: ... +@overload +def as_series(alist: Iterable[_FloatArray | npt.NDArray[np.integer]], trim: bool = True) -> list[_FloatSeries]: ... +@overload +def as_series(alist: Iterable[_ComplexArray], trim: bool = True) -> list[_ComplexSeries]: ... +@overload +def as_series(alist: Iterable[_ObjectArray], trim: bool = True) -> list[_ObjectSeries]: ... +@overload +def as_series(alist: Iterable[_SeriesLikeFloat_co | float], trim: bool = True) -> list[_FloatSeries]: ... +@overload +def as_series(alist: Iterable[_SeriesLikeComplex_co | complex], trim: bool = True) -> list[_ComplexSeries]: ... +@overload +def as_series(alist: Iterable[_SeriesLikeCoef_co | object], trim: bool = True) -> list[_ObjectSeries]: ... + +# +def trimseq(seq: _SeqT) -> _SeqT: ... + +# +@overload +def trimcoef(c: npt.NDArray[np.integer] | _FloatArray, tol: _FloatLike_co = 0) -> _FloatSeries: ... +@overload +def trimcoef(c: _ComplexArray, tol: _FloatLike_co = 0) -> _ComplexSeries: ... +@overload +def trimcoef(c: _ObjectArray, tol: _FloatLike_co = 0) -> _ObjectSeries: ... +@overload +def trimcoef(c: _SeriesLikeFloat_co | float, tol: _FloatLike_co = 0) -> _FloatSeries: ... +@overload +def trimcoef(c: _SeriesLikeComplex_co | complex, tol: _FloatLike_co = 0) -> _ComplexSeries: ... +@overload +def trimcoef(c: _SeriesLikeCoef_co | object, tol: _FloatLike_co = 0) -> _ObjectSeries: ... + +# +@overload +def getdomain(x: _FloatArray | npt.NDArray[np.integer]) -> _Array2[np.float64]: ... +@overload +def getdomain(x: _ComplexArray) -> _Array2[np.complex128]: ... +@overload +def getdomain(x: _ObjectArray) -> _Array2[np.object_]: ... +@overload +def getdomain(x: _SeriesLikeFloat_co | float) -> _Array2[np.float64]: ... +@overload +def getdomain(x: _SeriesLikeComplex_co | complex) -> _Array2[np.complex128]: ... +@overload +def getdomain(x: _SeriesLikeCoef_co | object) -> _Array2[np.object_]: ... + +# +@overload +def mapparms(old: npt.NDArray[np.floating | np.integer], new: npt.NDArray[np.floating | np.integer]) -> _Tuple2[np.floating]: ... +@overload +def mapparms(old: npt.NDArray[np.number], new: npt.NDArray[np.number]) -> _Tuple2[np.complexfloating]: ... +@overload +def mapparms(old: npt.NDArray[np.object_ | np.number], new: npt.NDArray[np.object_ | np.number]) -> _Tuple2[object]: ... +@overload +def mapparms(old: Sequence[float], new: Sequence[float]) -> _Tuple2[float]: ... +@overload +def mapparms(old: Sequence[complex], new: Sequence[complex]) -> _Tuple2[complex]: ... +@overload +def mapparms(old: _SeriesLikeFloat_co, new: _SeriesLikeFloat_co) -> _Tuple2[np.floating]: ... +@overload +def mapparms(old: _SeriesLikeComplex_co, new: _SeriesLikeComplex_co) -> _Tuple2[np.complexfloating]: ... +@overload +def mapparms(old: _SeriesLikeCoef_co, new: _SeriesLikeCoef_co) -> _Tuple2[object]: ... + +# +@overload +def mapdomain(x: _FloatLike_co, old: _SeriesLikeFloat_co, new: _SeriesLikeFloat_co) -> np.floating: ... +@overload +def mapdomain(x: _NumberLike_co, old: _SeriesLikeComplex_co, new: _SeriesLikeComplex_co) -> np.complexfloating: ... +@overload +def mapdomain( + x: npt.NDArray[np.floating | np.integer], + old: npt.NDArray[np.floating | np.integer], + new: npt.NDArray[np.floating | np.integer], +) -> _FloatSeries: ... +@overload +def mapdomain(x: npt.NDArray[np.number], old: npt.NDArray[np.number], new: npt.NDArray[np.number]) -> _ComplexSeries: ... +@overload +def mapdomain( + x: npt.NDArray[np.object_ | np.number], + old: npt.NDArray[np.object_ | np.number], + new: npt.NDArray[np.object_ | np.number], +) -> _ObjectSeries: ... +@overload +def mapdomain(x: _SeriesLikeFloat_co, old: _SeriesLikeFloat_co, new: _SeriesLikeFloat_co) -> _FloatSeries: ... +@overload +def mapdomain(x: _SeriesLikeComplex_co, old: _SeriesLikeComplex_co, new: _SeriesLikeComplex_co) -> _ComplexSeries: ... +@overload +def mapdomain(x: _SeriesLikeCoef_co, old: _SeriesLikeCoef_co, new: _SeriesLikeCoef_co) -> _ObjectSeries: ... +@overload +def mapdomain(x: _CoefLike_co, old: _SeriesLikeCoef_co, new: _SeriesLikeCoef_co) -> object: ... + +# +def _nth_slice(i: SupportsIndex, ndim: SupportsIndex) -> tuple[slice | None, ...]: ... + +# keep in sync with `vander_nd_flat` +@overload +def _vander_nd( + vander_fs: Sequence[_AnyVanderF], + points: Sequence[_ArrayLikeFloat_co], + degrees: Sequence[SupportsIndex], +) -> _FloatArray: ... +@overload +def _vander_nd( + vander_fs: Sequence[_AnyVanderF], + points: Sequence[_ArrayLikeComplex_co], + degrees: Sequence[SupportsIndex], +) -> _ComplexArray: ... +@overload +def _vander_nd( + vander_fs: Sequence[_AnyVanderF], + points: Sequence[_ArrayLikeObject_co | _ArrayLikeComplex_co], + degrees: Sequence[SupportsIndex], +) -> _ObjectArray: ... +@overload +def _vander_nd( + vander_fs: Sequence[_AnyVanderF], + points: Sequence[npt.ArrayLike], + degrees: Sequence[SupportsIndex], +) -> _CoefArray: ... + +# keep in sync with `vander_nd` +@overload +def _vander_nd_flat( + vander_fs: Sequence[_AnyVanderF], + points: Sequence[_ArrayLikeFloat_co], + degrees: Sequence[SupportsIndex], +) -> _FloatArray: ... +@overload +def _vander_nd_flat( + vander_fs: Sequence[_AnyVanderF], + points: Sequence[_ArrayLikeComplex_co], + degrees: Sequence[SupportsIndex], +) -> _ComplexArray: ... +@overload +def _vander_nd_flat( + vander_fs: Sequence[_AnyVanderF], + points: Sequence[_ArrayLikeObject_co | _ArrayLikeComplex_co], + degrees: Sequence[SupportsIndex], +) -> _ObjectArray: ... +@overload +def _vander_nd_flat( + vander_fs: Sequence[_AnyVanderF], + points: Sequence[npt.ArrayLike], + degrees: Sequence[SupportsIndex], +) -> _CoefArray: ... + +# keep in sync with `._polytypes._FuncFromRoots` +@overload +def _fromroots(line_f: _AnyLineF, mul_f: _AnyMulF, roots: _SeriesLikeFloat_co) -> _FloatSeries: ... +@overload +def _fromroots(line_f: _AnyLineF, mul_f: _AnyMulF, roots: _SeriesLikeComplex_co) -> _ComplexSeries: ... +@overload +def _fromroots(line_f: _AnyLineF, mul_f: _AnyMulF, roots: _SeriesLikeObject_co) -> _ObjectSeries: ... +@overload +def _fromroots(line_f: _AnyLineF, mul_f: _AnyMulF, roots: _SeriesLikeCoef_co) -> _CoefSeries: ... + +# keep in sync with `_gridnd` +def _valnd(val_f: _ValFunc[_T], c: _T, *args: npt.ArrayLike) -> _T: ... + +# keep in sync with `_valnd` +def _gridnd(val_f: _ValFunc[_T], c: _T, *args: npt.ArrayLike) -> _T: ... + +# keep in sync with `_polytypes._FuncBinOp` +@overload +def _div(mul_f: _AnyMulF, c1: _SeriesLikeFloat_co, c2: _SeriesLikeFloat_co) -> _Tuple2[_FloatSeries]: ... +@overload +def _div(mul_f: _AnyMulF, c1: _SeriesLikeComplex_co, c2: _SeriesLikeComplex_co) -> _Tuple2[_ComplexSeries]: ... +@overload +def _div(mul_f: _AnyMulF, c1: _SeriesLikeObject_co, c2: _SeriesLikeObject_co) -> _Tuple2[_ObjectSeries]: ... +@overload +def _div(mul_f: _AnyMulF, c1: _SeriesLikeCoef_co, c2: _SeriesLikeCoef_co) -> _Tuple2[_CoefSeries]: ... + +_add: Final[_FuncBinOp] = ... +_sub: Final[_FuncBinOp] = ... + +# keep in sync with `_polytypes._FuncPow` +@overload +def _pow(mul_f: _AnyMulF, c: _SeriesLikeFloat_co, pow: _AnyInt, maxpower: _AnyInt | None) -> _FloatSeries: ... +@overload +def _pow(mul_f: _AnyMulF, c: _SeriesLikeComplex_co, pow: _AnyInt, maxpower: _AnyInt | None) -> _ComplexSeries: ... +@overload +def _pow(mul_f: _AnyMulF, c: _SeriesLikeObject_co, pow: _AnyInt, maxpower: _AnyInt | None) -> _ObjectSeries: ... +@overload +def _pow(mul_f: _AnyMulF, c: _SeriesLikeCoef_co, pow: _AnyInt, maxpower: _AnyInt | None) -> _CoefSeries: ... + +# keep in sync with `_polytypes._FuncFit` +@overload +def _fit( + vander_f: _AnyVanderF, + x: _SeriesLikeFloat_co, + y: _ArrayLikeFloat_co, + deg: _SeriesLikeInt_co, + rcond: _FloatLike_co | None = None, + full: Literal[False] = False, + w: _SeriesLikeFloat_co | None = None, +) -> _FloatArray: ... +@overload +def _fit( + vander_f: _AnyVanderF, + x: _SeriesLikeComplex_co, + y: _ArrayLikeComplex_co, + deg: _SeriesLikeInt_co, + rcond: _FloatLike_co | None = None, + full: Literal[False] = False, + w: _SeriesLikeComplex_co | None = None, +) -> _ComplexArray: ... +@overload +def _fit( + vander_f: _AnyVanderF, + x: _SeriesLikeCoef_co, + y: _ArrayLikeCoef_co, + deg: _SeriesLikeInt_co, + rcond: _FloatLike_co | None = None, + full: Literal[False] = False, + w: _SeriesLikeCoef_co | None = None, +) -> _CoefArray: ... +@overload +def _fit( + vander_f: _AnyVanderF, + x: _SeriesLikeCoef_co, + y: _SeriesLikeCoef_co, + deg: _SeriesLikeInt_co, + rcond: _FloatLike_co | None, + full: Literal[True], + w: _SeriesLikeCoef_co | None = None, +) -> tuple[_CoefSeries, Sequence[np.inexact | np.int32]]: ... +@overload +def _fit( + vander_f: _AnyVanderF, + x: _SeriesLikeCoef_co, + y: _SeriesLikeCoef_co, + deg: _SeriesLikeInt_co, + rcond: _FloatLike_co | None = None, + *, + full: Literal[True], + w: _SeriesLikeCoef_co | None = None, +) -> tuple[_CoefSeries, Sequence[np.inexact | np.int32]]: ... + +# +def _as_int(x: SupportsIndex, desc: str) -> int: ... + +# +def format_float(x: _FloatLike_co, parens: bool = False) -> str: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/__pycache__/__init__.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..a54e2770b9855d894d03d4a79b91a828a2e7d88f Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/__pycache__/__init__.cpython-311.pyc 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+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_chebyshev.py @@ -0,0 +1,618 @@ +"""Tests for chebyshev module. + +""" +from functools import reduce + +import numpy as np +import numpy.polynomial.chebyshev as cheb +from numpy.polynomial.polynomial import polyval +from numpy.testing import assert_, assert_almost_equal, assert_equal, assert_raises + + +def trim(x): + return cheb.chebtrim(x, tol=1e-6) + + +T0 = [1] +T1 = [0, 1] +T2 = [-1, 0, 2] +T3 = [0, -3, 0, 4] +T4 = [1, 0, -8, 0, 8] +T5 = [0, 5, 0, -20, 0, 16] +T6 = [-1, 0, 18, 0, -48, 0, 32] +T7 = [0, -7, 0, 56, 0, -112, 0, 64] +T8 = [1, 0, -32, 0, 160, 0, -256, 0, 128] +T9 = [0, 9, 0, -120, 0, 432, 0, -576, 0, 256] + +Tlist = [T0, T1, T2, T3, T4, T5, T6, T7, T8, T9] + + +class TestPrivate: + + def test__cseries_to_zseries(self): + for i in range(5): + inp = np.array([2] + [1] * i, np.double) + tgt = np.array([.5] * i + [2] + [.5] * i, np.double) + res = cheb._cseries_to_zseries(inp) + assert_equal(res, tgt) + + def test__zseries_to_cseries(self): + for i in range(5): + inp = np.array([.5] * i + [2] + [.5] * i, np.double) + tgt = np.array([2] + [1] * i, np.double) + res = cheb._zseries_to_cseries(inp) + assert_equal(res, tgt) + + +class TestConstants: + + def test_chebdomain(self): + assert_equal(cheb.chebdomain, [-1, 1]) + + def test_chebzero(self): + assert_equal(cheb.chebzero, [0]) + + def test_chebone(self): + assert_equal(cheb.chebone, [1]) + + def test_chebx(self): + assert_equal(cheb.chebx, [0, 1]) + + +class TestArithmetic: + + def test_chebadd(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] += 1 + res = cheb.chebadd([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_chebsub(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] -= 1 + res = cheb.chebsub([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_chebmulx(self): + assert_equal(cheb.chebmulx([0]), [0]) + assert_equal(cheb.chebmulx([1]), [0, 1]) + for i in range(1, 5): + ser = [0] * i + [1] + tgt = [0] * (i - 1) + [.5, 0, .5] + assert_equal(cheb.chebmulx(ser), tgt) + + def test_chebmul(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(i + j + 1) + tgt[i + j] += .5 + tgt[abs(i - j)] += .5 + res = cheb.chebmul([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_chebdiv(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + ci = [0] * i + [1] + cj = [0] * j + [1] + tgt = cheb.chebadd(ci, cj) + quo, rem = cheb.chebdiv(tgt, ci) + res = cheb.chebadd(cheb.chebmul(quo, ci), rem) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_chebpow(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + c = np.arange(i + 1) + tgt = reduce(cheb.chebmul, [c] * j, np.array([1])) + res = cheb.chebpow(c, j) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + +class TestEvaluation: + # coefficients of 1 + 2*x + 3*x**2 + c1d = np.array([2.5, 2., 1.5]) + c2d = np.einsum('i,j->ij', c1d, c1d) + c3d = np.einsum('i,j,k->ijk', c1d, c1d, c1d) + + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + y = polyval(x, [1., 2., 3.]) + + def test_chebval(self): + # check empty input + assert_equal(cheb.chebval([], [1]).size, 0) + + # check normal input) + x = np.linspace(-1, 1) + y = [polyval(x, c) for c in Tlist] + for i in range(10): + msg = f"At i={i}" + tgt = y[i] + res = cheb.chebval(x, [0] * i + [1]) + assert_almost_equal(res, tgt, err_msg=msg) + + # check that shape is preserved + for i in range(3): + dims = [2] * i + x = np.zeros(dims) + assert_equal(cheb.chebval(x, [1]).shape, dims) + assert_equal(cheb.chebval(x, [1, 0]).shape, dims) + assert_equal(cheb.chebval(x, [1, 0, 0]).shape, dims) + + def test_chebval2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises(ValueError, cheb.chebval2d, x1, x2[:2], self.c2d) + + # test values + tgt = y1 * y2 + res = cheb.chebval2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = cheb.chebval2d(z, z, self.c2d) + assert_(res.shape == (2, 3)) + + def test_chebval3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises(ValueError, cheb.chebval3d, x1, x2, x3[:2], self.c3d) + + # test values + tgt = y1 * y2 * y3 + res = cheb.chebval3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = cheb.chebval3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3)) + + def test_chebgrid2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j->ij', y1, y2) + res = cheb.chebgrid2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = cheb.chebgrid2d(z, z, self.c2d) + assert_(res.shape == (2, 3) * 2) + + def test_chebgrid3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j,k->ijk', y1, y2, y3) + res = cheb.chebgrid3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = cheb.chebgrid3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3) * 3) + + +class TestIntegral: + + def test_chebint(self): + # check exceptions + assert_raises(TypeError, cheb.chebint, [0], .5) + assert_raises(ValueError, cheb.chebint, [0], -1) + assert_raises(ValueError, cheb.chebint, [0], 1, [0, 0]) + assert_raises(ValueError, cheb.chebint, [0], lbnd=[0]) + assert_raises(ValueError, cheb.chebint, [0], scl=[0]) + assert_raises(TypeError, cheb.chebint, [0], axis=.5) + + # test integration of zero polynomial + for i in range(2, 5): + k = [0] * (i - 2) + [1] + res = cheb.chebint([0], m=i, k=k) + assert_almost_equal(res, [0, 1]) + + # check single integration with integration constant + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [1 / scl] + chebpol = cheb.poly2cheb(pol) + chebint = cheb.chebint(chebpol, m=1, k=[i]) + res = cheb.cheb2poly(chebint) + assert_almost_equal(trim(res), trim(tgt)) + + # check single integration with integration constant and lbnd + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + chebpol = cheb.poly2cheb(pol) + chebint = cheb.chebint(chebpol, m=1, k=[i], lbnd=-1) + assert_almost_equal(cheb.chebval(-1, chebint), i) + + # check single integration with integration constant and scaling + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [2 / scl] + chebpol = cheb.poly2cheb(pol) + chebint = cheb.chebint(chebpol, m=1, k=[i], scl=2) + res = cheb.cheb2poly(chebint) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with default k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = cheb.chebint(tgt, m=1) + res = cheb.chebint(pol, m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with defined k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = cheb.chebint(tgt, m=1, k=[k]) + res = cheb.chebint(pol, m=j, k=list(range(j))) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with lbnd + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = cheb.chebint(tgt, m=1, k=[k], lbnd=-1) + res = cheb.chebint(pol, m=j, k=list(range(j)), lbnd=-1) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with scaling + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = cheb.chebint(tgt, m=1, k=[k], scl=2) + res = cheb.chebint(pol, m=j, k=list(range(j)), scl=2) + assert_almost_equal(trim(res), trim(tgt)) + + def test_chebint_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([cheb.chebint(c) for c in c2d.T]).T + res = cheb.chebint(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([cheb.chebint(c) for c in c2d]) + res = cheb.chebint(c2d, axis=1) + assert_almost_equal(res, tgt) + + tgt = np.vstack([cheb.chebint(c, k=3) for c in c2d]) + res = cheb.chebint(c2d, k=3, axis=1) + assert_almost_equal(res, tgt) + + +class TestDerivative: + + def test_chebder(self): + # check exceptions + assert_raises(TypeError, cheb.chebder, [0], .5) + assert_raises(ValueError, cheb.chebder, [0], -1) + + # check that zeroth derivative does nothing + for i in range(5): + tgt = [0] * i + [1] + res = cheb.chebder(tgt, m=0) + assert_equal(trim(res), trim(tgt)) + + # check that derivation is the inverse of integration + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = cheb.chebder(cheb.chebint(tgt, m=j), m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check derivation with scaling + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = cheb.chebder(cheb.chebint(tgt, m=j, scl=2), m=j, scl=.5) + assert_almost_equal(trim(res), trim(tgt)) + + def test_chebder_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([cheb.chebder(c) for c in c2d.T]).T + res = cheb.chebder(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([cheb.chebder(c) for c in c2d]) + res = cheb.chebder(c2d, axis=1) + assert_almost_equal(res, tgt) + + +class TestVander: + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + + def test_chebvander(self): + # check for 1d x + x = np.arange(3) + v = cheb.chebvander(x, 3) + assert_(v.shape == (3, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], cheb.chebval(x, coef)) + + # check for 2d x + x = np.array([[1, 2], [3, 4], [5, 6]]) + v = cheb.chebvander(x, 3) + assert_(v.shape == (3, 2, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], cheb.chebval(x, coef)) + + def test_chebvander2d(self): + # also tests chebval2d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3)) + van = cheb.chebvander2d(x1, x2, [1, 2]) + tgt = cheb.chebval2d(x1, x2, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = cheb.chebvander2d([x1], [x2], [1, 2]) + assert_(van.shape == (1, 5, 6)) + + def test_chebvander3d(self): + # also tests chebval3d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3, 4)) + van = cheb.chebvander3d(x1, x2, x3, [1, 2, 3]) + tgt = cheb.chebval3d(x1, x2, x3, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = cheb.chebvander3d([x1], [x2], [x3], [1, 2, 3]) + assert_(van.shape == (1, 5, 24)) + + +class TestFitting: + + def test_chebfit(self): + def f(x): + return x * (x - 1) * (x - 2) + + def f2(x): + return x**4 + x**2 + 1 + + # Test exceptions + assert_raises(ValueError, cheb.chebfit, [1], [1], -1) + assert_raises(TypeError, cheb.chebfit, [[1]], [1], 0) + assert_raises(TypeError, cheb.chebfit, [], [1], 0) + assert_raises(TypeError, cheb.chebfit, [1], [[[1]]], 0) + assert_raises(TypeError, cheb.chebfit, [1, 2], [1], 0) + assert_raises(TypeError, cheb.chebfit, [1], [1, 2], 0) + assert_raises(TypeError, cheb.chebfit, [1], [1], 0, w=[[1]]) + assert_raises(TypeError, cheb.chebfit, [1], [1], 0, w=[1, 1]) + assert_raises(ValueError, cheb.chebfit, [1], [1], [-1,]) + assert_raises(ValueError, cheb.chebfit, [1], [1], [2, -1, 6]) + assert_raises(TypeError, cheb.chebfit, [1], [1], []) + + # Test fit + x = np.linspace(0, 2) + y = f(x) + # + coef3 = cheb.chebfit(x, y, 3) + assert_equal(len(coef3), 4) + assert_almost_equal(cheb.chebval(x, coef3), y) + coef3 = cheb.chebfit(x, y, [0, 1, 2, 3]) + assert_equal(len(coef3), 4) + assert_almost_equal(cheb.chebval(x, coef3), y) + # + coef4 = cheb.chebfit(x, y, 4) + assert_equal(len(coef4), 5) + assert_almost_equal(cheb.chebval(x, coef4), y) + coef4 = cheb.chebfit(x, y, [0, 1, 2, 3, 4]) + assert_equal(len(coef4), 5) + assert_almost_equal(cheb.chebval(x, coef4), y) + # check things still work if deg is not in strict increasing + coef4 = cheb.chebfit(x, y, [2, 3, 4, 1, 0]) + assert_equal(len(coef4), 5) + assert_almost_equal(cheb.chebval(x, coef4), y) + # + coef2d = cheb.chebfit(x, np.array([y, y]).T, 3) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + coef2d = cheb.chebfit(x, np.array([y, y]).T, [0, 1, 2, 3]) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + # test weighting + w = np.zeros_like(x) + yw = y.copy() + w[1::2] = 1 + y[0::2] = 0 + wcoef3 = cheb.chebfit(x, yw, 3, w=w) + assert_almost_equal(wcoef3, coef3) + wcoef3 = cheb.chebfit(x, yw, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef3, coef3) + # + wcoef2d = cheb.chebfit(x, np.array([yw, yw]).T, 3, w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + wcoef2d = cheb.chebfit(x, np.array([yw, yw]).T, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + # test scaling with complex values x points whose square + # is zero when summed. + x = [1, 1j, -1, -1j] + assert_almost_equal(cheb.chebfit(x, x, 1), [0, 1]) + assert_almost_equal(cheb.chebfit(x, x, [0, 1]), [0, 1]) + # test fitting only even polynomials + x = np.linspace(-1, 1) + y = f2(x) + coef1 = cheb.chebfit(x, y, 4) + assert_almost_equal(cheb.chebval(x, coef1), y) + coef2 = cheb.chebfit(x, y, [0, 2, 4]) + assert_almost_equal(cheb.chebval(x, coef2), y) + assert_almost_equal(coef1, coef2) + + +class TestInterpolate: + + def f(self, x): + return x * (x - 1) * (x - 2) + + def test_raises(self): + assert_raises(ValueError, cheb.chebinterpolate, self.f, -1) + assert_raises(TypeError, cheb.chebinterpolate, self.f, 10.) + + def test_dimensions(self): + for deg in range(1, 5): + assert_(cheb.chebinterpolate(self.f, deg).shape == (deg + 1,)) + + def test_approximation(self): + + def powx(x, p): + return x**p + + x = np.linspace(-1, 1, 10) + for deg in range(10): + for p in range(deg + 1): + c = cheb.chebinterpolate(powx, deg, (p,)) + assert_almost_equal(cheb.chebval(x, c), powx(x, p), decimal=12) + + +class TestCompanion: + + def test_raises(self): + assert_raises(ValueError, cheb.chebcompanion, []) + assert_raises(ValueError, cheb.chebcompanion, [1]) + + def test_dimensions(self): + for i in range(1, 5): + coef = [0] * i + [1] + assert_(cheb.chebcompanion(coef).shape == (i, i)) + + def test_linear_root(self): + assert_(cheb.chebcompanion([1, 2])[0, 0] == -.5) + + +class TestGauss: + + def test_100(self): + x, w = cheb.chebgauss(100) + + # test orthogonality. Note that the results need to be normalized, + # otherwise the huge values that can arise from fast growing + # functions like Laguerre can be very confusing. + v = cheb.chebvander(x, 99) + vv = np.dot(v.T * w, v) + vd = 1 / np.sqrt(vv.diagonal()) + vv = vd[:, None] * vv * vd + assert_almost_equal(vv, np.eye(100)) + + # check that the integral of 1 is correct + tgt = np.pi + assert_almost_equal(w.sum(), tgt) + + +class TestMisc: + + def test_chebfromroots(self): + res = cheb.chebfromroots([]) + assert_almost_equal(trim(res), [1]) + for i in range(1, 5): + roots = np.cos(np.linspace(-np.pi, 0, 2 * i + 1)[1::2]) + tgt = [0] * i + [1] + res = cheb.chebfromroots(roots) * 2**(i - 1) + assert_almost_equal(trim(res), trim(tgt)) + + def test_chebroots(self): + assert_almost_equal(cheb.chebroots([1]), []) + assert_almost_equal(cheb.chebroots([1, 2]), [-.5]) + for i in range(2, 5): + tgt = np.linspace(-1, 1, i) + res = cheb.chebroots(cheb.chebfromroots(tgt)) + assert_almost_equal(trim(res), trim(tgt)) + + def test_chebtrim(self): + coef = [2, -1, 1, 0] + + # Test exceptions + assert_raises(ValueError, cheb.chebtrim, coef, -1) + + # Test results + assert_equal(cheb.chebtrim(coef), coef[:-1]) + assert_equal(cheb.chebtrim(coef, 1), coef[:-3]) + assert_equal(cheb.chebtrim(coef, 2), [0]) + + def test_chebline(self): + assert_equal(cheb.chebline(3, 4), [3, 4]) + + def test_cheb2poly(self): + for i in range(10): + assert_almost_equal(cheb.cheb2poly([0] * i + [1]), Tlist[i]) + + def test_poly2cheb(self): + for i in range(10): + assert_almost_equal(cheb.poly2cheb(Tlist[i]), [0] * i + [1]) + + def test_weight(self): + x = np.linspace(-1, 1, 11)[1:-1] + tgt = 1. / (np.sqrt(1 + x) * np.sqrt(1 - x)) + res = cheb.chebweight(x) + assert_almost_equal(res, tgt) + + def test_chebpts1(self): + # test exceptions + assert_raises(ValueError, cheb.chebpts1, 1.5) + assert_raises(ValueError, cheb.chebpts1, 0) + + # test points + tgt = [0] + assert_almost_equal(cheb.chebpts1(1), tgt) + tgt = [-0.70710678118654746, 0.70710678118654746] + assert_almost_equal(cheb.chebpts1(2), tgt) + tgt = [-0.86602540378443871, 0, 0.86602540378443871] + assert_almost_equal(cheb.chebpts1(3), tgt) + tgt = [-0.9238795325, -0.3826834323, 0.3826834323, 0.9238795325] + assert_almost_equal(cheb.chebpts1(4), tgt) + + def test_chebpts2(self): + # test exceptions + assert_raises(ValueError, cheb.chebpts2, 1.5) + assert_raises(ValueError, cheb.chebpts2, 1) + + # test points + tgt = [-1, 1] + assert_almost_equal(cheb.chebpts2(2), tgt) + tgt = [-1, 0, 1] + assert_almost_equal(cheb.chebpts2(3), tgt) + tgt = [-1, -0.5, .5, 1] + assert_almost_equal(cheb.chebpts2(4), tgt) + tgt = [-1.0, -0.707106781187, 0, 0.707106781187, 1.0] + assert_almost_equal(cheb.chebpts2(5), tgt) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_classes.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_classes.py new file mode 100644 index 0000000000000000000000000000000000000000..156dccf6ea8888da77fe2b0ce18c8443a460ea22 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_classes.py @@ -0,0 +1,613 @@ +"""Test inter-conversion of different polynomial classes. + +This tests the convert and cast methods of all the polynomial classes. + +""" +import operator as op +from numbers import Number + +import pytest + +import numpy as np +from numpy.exceptions import RankWarning +from numpy.polynomial import ( + Chebyshev, + Hermite, + HermiteE, + Laguerre, + Legendre, + Polynomial, +) +from numpy.testing import assert_, assert_almost_equal, assert_equal, assert_raises + +# +# fixtures +# + +classes = ( + Polynomial, Legendre, Chebyshev, Laguerre, + Hermite, HermiteE + ) +classids = tuple(cls.__name__ for cls in classes) + +@pytest.fixture(params=classes, ids=classids) +def Poly(request): + return request.param + + +# +# helper functions +# +random = np.random.random + + +def assert_poly_almost_equal(p1, p2, msg=""): + try: + assert_(np.all(p1.domain == p2.domain)) + assert_(np.all(p1.window == p2.window)) + assert_almost_equal(p1.coef, p2.coef) + except AssertionError: + msg = f"Result: {p1}\nTarget: {p2}" + raise AssertionError(msg) + + +# +# Test conversion methods that depend on combinations of two classes. +# + +Poly1 = Poly +Poly2 = Poly + + +def test_conversion(Poly1, Poly2): + x = np.linspace(0, 1, 10) + coef = random((3,)) + + d1 = Poly1.domain + random((2,)) * .25 + w1 = Poly1.window + random((2,)) * .25 + p1 = Poly1(coef, domain=d1, window=w1) + + d2 = Poly2.domain + random((2,)) * .25 + w2 = Poly2.window + random((2,)) * .25 + p2 = p1.convert(kind=Poly2, domain=d2, window=w2) + + assert_almost_equal(p2.domain, d2) + assert_almost_equal(p2.window, w2) + assert_almost_equal(p2(x), p1(x)) + + +def test_cast(Poly1, Poly2): + x = np.linspace(0, 1, 10) + coef = random((3,)) + + d1 = Poly1.domain + random((2,)) * .25 + w1 = Poly1.window + random((2,)) * .25 + p1 = Poly1(coef, domain=d1, window=w1) + + d2 = Poly2.domain + random((2,)) * .25 + w2 = Poly2.window + random((2,)) * .25 + p2 = Poly2.cast(p1, domain=d2, window=w2) + + assert_almost_equal(p2.domain, d2) + assert_almost_equal(p2.window, w2) + assert_almost_equal(p2(x), p1(x)) + + +# +# test methods that depend on one class +# + + +def test_identity(Poly): + d = Poly.domain + random((2,)) * .25 + w = Poly.window + random((2,)) * .25 + x = np.linspace(d[0], d[1], 11) + p = Poly.identity(domain=d, window=w) + assert_equal(p.domain, d) + assert_equal(p.window, w) + assert_almost_equal(p(x), x) + + +def test_basis(Poly): + d = Poly.domain + random((2,)) * .25 + w = Poly.window + random((2,)) * .25 + p = Poly.basis(5, domain=d, window=w) + assert_equal(p.domain, d) + assert_equal(p.window, w) + assert_equal(p.coef, [0] * 5 + [1]) + + +def test_fromroots(Poly): + # check that requested roots are zeros of a polynomial + # of correct degree, domain, and window. + d = Poly.domain + random((2,)) * .25 + w = Poly.window + random((2,)) * .25 + r = random((5,)) + p1 = Poly.fromroots(r, domain=d, window=w) + assert_equal(p1.degree(), len(r)) + assert_equal(p1.domain, d) + assert_equal(p1.window, w) + assert_almost_equal(p1(r), 0) + + # check that polynomial is monic + pdom = Polynomial.domain + pwin = Polynomial.window + p2 = Polynomial.cast(p1, domain=pdom, window=pwin) + assert_almost_equal(p2.coef[-1], 1) + + +def test_bad_conditioned_fit(Poly): + + x = [0., 0., 1.] + y = [1., 2., 3.] + + # check RankWarning is raised + with pytest.warns(RankWarning) as record: + Poly.fit(x, y, 2) + assert record[0].message.args[0] == "The fit may be poorly conditioned" + + +def test_fit(Poly): + + def f(x): + return x * (x - 1) * (x - 2) + x = np.linspace(0, 3) + y = f(x) + + # check default value of domain and window + p = Poly.fit(x, y, 3) + assert_almost_equal(p.domain, [0, 3]) + assert_almost_equal(p(x), y) + assert_equal(p.degree(), 3) + + # check with given domains and window + d = Poly.domain + random((2,)) * .25 + w = Poly.window + random((2,)) * .25 + p = Poly.fit(x, y, 3, domain=d, window=w) + assert_almost_equal(p(x), y) + assert_almost_equal(p.domain, d) + assert_almost_equal(p.window, w) + p = Poly.fit(x, y, [0, 1, 2, 3], domain=d, window=w) + assert_almost_equal(p(x), y) + assert_almost_equal(p.domain, d) + assert_almost_equal(p.window, w) + + # check with class domain default + p = Poly.fit(x, y, 3, []) + assert_equal(p.domain, Poly.domain) + assert_equal(p.window, Poly.window) + p = Poly.fit(x, y, [0, 1, 2, 3], []) + assert_equal(p.domain, Poly.domain) + assert_equal(p.window, Poly.window) + + # check that fit accepts weights. + w = np.zeros_like(x) + z = y + random(y.shape) * .25 + w[::2] = 1 + p1 = Poly.fit(x[::2], z[::2], 3) + p2 = Poly.fit(x, z, 3, w=w) + p3 = Poly.fit(x, z, [0, 1, 2, 3], w=w) + assert_almost_equal(p1(x), p2(x)) + assert_almost_equal(p2(x), p3(x)) + + +def test_equal(Poly): + p1 = Poly([1, 2, 3], domain=[0, 1], window=[2, 3]) + p2 = Poly([1, 1, 1], domain=[0, 1], window=[2, 3]) + p3 = Poly([1, 2, 3], domain=[1, 2], window=[2, 3]) + p4 = Poly([1, 2, 3], domain=[0, 1], window=[1, 2]) + assert_(p1 == p1) + assert_(not p1 == p2) + assert_(not p1 == p3) + assert_(not p1 == p4) + + +def test_not_equal(Poly): + p1 = Poly([1, 2, 3], domain=[0, 1], window=[2, 3]) + p2 = Poly([1, 1, 1], domain=[0, 1], window=[2, 3]) + p3 = Poly([1, 2, 3], domain=[1, 2], window=[2, 3]) + p4 = Poly([1, 2, 3], domain=[0, 1], window=[1, 2]) + assert_(not p1 != p1) + assert_(p1 != p2) + assert_(p1 != p3) + assert_(p1 != p4) + + +def test_add(Poly): + # This checks commutation, not numerical correctness + c1 = list(random((4,)) + .5) + c2 = list(random((3,)) + .5) + p1 = Poly(c1) + p2 = Poly(c2) + p3 = p1 + p2 + assert_poly_almost_equal(p2 + p1, p3) + assert_poly_almost_equal(p1 + c2, p3) + assert_poly_almost_equal(c2 + p1, p3) + assert_poly_almost_equal(p1 + tuple(c2), p3) + assert_poly_almost_equal(tuple(c2) + p1, p3) + assert_poly_almost_equal(p1 + np.array(c2), p3) + assert_poly_almost_equal(np.array(c2) + p1, p3) + assert_raises(TypeError, op.add, p1, Poly([0], domain=Poly.domain + 1)) + assert_raises(TypeError, op.add, p1, Poly([0], window=Poly.window + 1)) + if Poly is Polynomial: + assert_raises(TypeError, op.add, p1, Chebyshev([0])) + else: + assert_raises(TypeError, op.add, p1, Polynomial([0])) + + +def test_sub(Poly): + # This checks commutation, not numerical correctness + c1 = list(random((4,)) + .5) + c2 = list(random((3,)) + .5) + p1 = Poly(c1) + p2 = Poly(c2) + p3 = p1 - p2 + assert_poly_almost_equal(p2 - p1, -p3) + assert_poly_almost_equal(p1 - c2, p3) + assert_poly_almost_equal(c2 - p1, -p3) + assert_poly_almost_equal(p1 - tuple(c2), p3) + assert_poly_almost_equal(tuple(c2) - p1, -p3) + assert_poly_almost_equal(p1 - np.array(c2), p3) + assert_poly_almost_equal(np.array(c2) - p1, -p3) + assert_raises(TypeError, op.sub, p1, Poly([0], domain=Poly.domain + 1)) + assert_raises(TypeError, op.sub, p1, Poly([0], window=Poly.window + 1)) + if Poly is Polynomial: + assert_raises(TypeError, op.sub, p1, Chebyshev([0])) + else: + assert_raises(TypeError, op.sub, p1, Polynomial([0])) + + +def test_mul(Poly): + c1 = list(random((4,)) + .5) + c2 = list(random((3,)) + .5) + p1 = Poly(c1) + p2 = Poly(c2) + p3 = p1 * p2 + assert_poly_almost_equal(p2 * p1, p3) + assert_poly_almost_equal(p1 * c2, p3) + assert_poly_almost_equal(c2 * p1, p3) + assert_poly_almost_equal(p1 * tuple(c2), p3) + assert_poly_almost_equal(tuple(c2) * p1, p3) + assert_poly_almost_equal(p1 * np.array(c2), p3) + assert_poly_almost_equal(np.array(c2) * p1, p3) + assert_poly_almost_equal(p1 * 2, p1 * Poly([2])) + assert_poly_almost_equal(2 * p1, p1 * Poly([2])) + assert_raises(TypeError, op.mul, p1, Poly([0], domain=Poly.domain + 1)) + assert_raises(TypeError, op.mul, p1, Poly([0], window=Poly.window + 1)) + if Poly is Polynomial: + assert_raises(TypeError, op.mul, p1, Chebyshev([0])) + else: + assert_raises(TypeError, op.mul, p1, Polynomial([0])) + + +def test_floordiv(Poly): + c1 = list(random((4,)) + .5) + c2 = list(random((3,)) + .5) + c3 = list(random((2,)) + .5) + p1 = Poly(c1) + p2 = Poly(c2) + p3 = Poly(c3) + p4 = p1 * p2 + p3 + c4 = list(p4.coef) + assert_poly_almost_equal(p4 // p2, p1) + assert_poly_almost_equal(p4 // c2, p1) + assert_poly_almost_equal(c4 // p2, p1) + assert_poly_almost_equal(p4 // tuple(c2), p1) + assert_poly_almost_equal(tuple(c4) // p2, p1) + assert_poly_almost_equal(p4 // np.array(c2), p1) + assert_poly_almost_equal(np.array(c4) // p2, p1) + assert_poly_almost_equal(2 // p2, Poly([0])) + assert_poly_almost_equal(p2 // 2, 0.5 * p2) + assert_raises( + TypeError, op.floordiv, p1, Poly([0], domain=Poly.domain + 1)) + assert_raises( + TypeError, op.floordiv, p1, Poly([0], window=Poly.window + 1)) + if Poly is Polynomial: + assert_raises(TypeError, op.floordiv, p1, Chebyshev([0])) + else: + assert_raises(TypeError, op.floordiv, p1, Polynomial([0])) + + +def test_truediv(Poly): + # true division is valid only if the denominator is a Number and + # not a python bool. + p1 = Poly([1, 2, 3]) + p2 = p1 * 5 + + for stype in np.ScalarType: + if not issubclass(stype, Number) or issubclass(stype, bool): + continue + s = stype(5) + assert_poly_almost_equal(op.truediv(p2, s), p1) + assert_raises(TypeError, op.truediv, s, p2) + for stype in (int, float): + s = stype(5) + assert_poly_almost_equal(op.truediv(p2, s), p1) + assert_raises(TypeError, op.truediv, s, p2) + for stype in [complex]: + s = stype(5, 0) + assert_poly_almost_equal(op.truediv(p2, s), p1) + assert_raises(TypeError, op.truediv, s, p2) + for s in [(), [], {}, False, np.array([1])]: + assert_raises(TypeError, op.truediv, p2, s) + assert_raises(TypeError, op.truediv, s, p2) + for ptype in classes: + assert_raises(TypeError, op.truediv, p2, ptype(1)) + + +def test_mod(Poly): + # This checks commutation, not numerical correctness + c1 = list(random((4,)) + .5) + c2 = list(random((3,)) + .5) + c3 = list(random((2,)) + .5) + p1 = Poly(c1) + p2 = Poly(c2) + p3 = Poly(c3) + p4 = p1 * p2 + p3 + c4 = list(p4.coef) + assert_poly_almost_equal(p4 % p2, p3) + assert_poly_almost_equal(p4 % c2, p3) + assert_poly_almost_equal(c4 % p2, p3) + assert_poly_almost_equal(p4 % tuple(c2), p3) + assert_poly_almost_equal(tuple(c4) % p2, p3) + assert_poly_almost_equal(p4 % np.array(c2), p3) + assert_poly_almost_equal(np.array(c4) % p2, p3) + assert_poly_almost_equal(2 % p2, Poly([2])) + assert_poly_almost_equal(p2 % 2, Poly([0])) + assert_raises(TypeError, op.mod, p1, Poly([0], domain=Poly.domain + 1)) + assert_raises(TypeError, op.mod, p1, Poly([0], window=Poly.window + 1)) + if Poly is Polynomial: + assert_raises(TypeError, op.mod, p1, Chebyshev([0])) + else: + assert_raises(TypeError, op.mod, p1, Polynomial([0])) + + +def test_divmod(Poly): + # This checks commutation, not numerical correctness + c1 = list(random((4,)) + .5) + c2 = list(random((3,)) + .5) + c3 = list(random((2,)) + .5) + p1 = Poly(c1) + p2 = Poly(c2) + p3 = Poly(c3) + p4 = p1 * p2 + p3 + c4 = list(p4.coef) + quo, rem = divmod(p4, p2) + assert_poly_almost_equal(quo, p1) + assert_poly_almost_equal(rem, p3) + quo, rem = divmod(p4, c2) + assert_poly_almost_equal(quo, p1) + assert_poly_almost_equal(rem, p3) + quo, rem = divmod(c4, p2) + assert_poly_almost_equal(quo, p1) + assert_poly_almost_equal(rem, p3) + quo, rem = divmod(p4, tuple(c2)) + assert_poly_almost_equal(quo, p1) + assert_poly_almost_equal(rem, p3) + quo, rem = divmod(tuple(c4), p2) + assert_poly_almost_equal(quo, p1) + assert_poly_almost_equal(rem, p3) + quo, rem = divmod(p4, np.array(c2)) + assert_poly_almost_equal(quo, p1) + assert_poly_almost_equal(rem, p3) + quo, rem = divmod(np.array(c4), p2) + assert_poly_almost_equal(quo, p1) + assert_poly_almost_equal(rem, p3) + quo, rem = divmod(p2, 2) + assert_poly_almost_equal(quo, 0.5 * p2) + assert_poly_almost_equal(rem, Poly([0])) + quo, rem = divmod(2, p2) + assert_poly_almost_equal(quo, Poly([0])) + assert_poly_almost_equal(rem, Poly([2])) + assert_raises(TypeError, divmod, p1, Poly([0], domain=Poly.domain + 1)) + assert_raises(TypeError, divmod, p1, Poly([0], window=Poly.window + 1)) + if Poly is Polynomial: + assert_raises(TypeError, divmod, p1, Chebyshev([0])) + else: + assert_raises(TypeError, divmod, p1, Polynomial([0])) + + +def test_roots(Poly): + d = Poly.domain * 1.25 + .25 + w = Poly.window + tgt = np.linspace(d[0], d[1], 5) + res = np.sort(Poly.fromroots(tgt, domain=d, window=w).roots()) + assert_almost_equal(res, tgt) + # default domain and window + res = np.sort(Poly.fromroots(tgt).roots()) + assert_almost_equal(res, tgt) + + +def test_degree(Poly): + p = Poly.basis(5) + assert_equal(p.degree(), 5) + + +def test_copy(Poly): + p1 = Poly.basis(5) + p2 = p1.copy() + assert_(p1 == p2) + assert_(p1 is not p2) + assert_(p1.coef is not p2.coef) + assert_(p1.domain is not p2.domain) + assert_(p1.window is not p2.window) + + +def test_integ(Poly): + P = Polynomial + # Check defaults + p0 = Poly.cast(P([1 * 2, 2 * 3, 3 * 4])) + p1 = P.cast(p0.integ()) + p2 = P.cast(p0.integ(2)) + assert_poly_almost_equal(p1, P([0, 2, 3, 4])) + assert_poly_almost_equal(p2, P([0, 0, 1, 1, 1])) + # Check with k + p0 = Poly.cast(P([1 * 2, 2 * 3, 3 * 4])) + p1 = P.cast(p0.integ(k=1)) + p2 = P.cast(p0.integ(2, k=[1, 1])) + assert_poly_almost_equal(p1, P([1, 2, 3, 4])) + assert_poly_almost_equal(p2, P([1, 1, 1, 1, 1])) + # Check with lbnd + p0 = Poly.cast(P([1 * 2, 2 * 3, 3 * 4])) + p1 = P.cast(p0.integ(lbnd=1)) + p2 = P.cast(p0.integ(2, lbnd=1)) + assert_poly_almost_equal(p1, P([-9, 2, 3, 4])) + assert_poly_almost_equal(p2, P([6, -9, 1, 1, 1])) + # Check scaling + d = 2 * Poly.domain + p0 = Poly.cast(P([1 * 2, 2 * 3, 3 * 4]), domain=d) + p1 = P.cast(p0.integ()) + p2 = P.cast(p0.integ(2)) + assert_poly_almost_equal(p1, P([0, 2, 3, 4])) + assert_poly_almost_equal(p2, P([0, 0, 1, 1, 1])) + + +def test_deriv(Poly): + # Check that the derivative is the inverse of integration. It is + # assumes that the integration has been checked elsewhere. + d = Poly.domain + random((2,)) * .25 + w = Poly.window + random((2,)) * .25 + p1 = Poly([1, 2, 3], domain=d, window=w) + p2 = p1.integ(2, k=[1, 2]) + p3 = p1.integ(1, k=[1]) + assert_almost_equal(p2.deriv(1).coef, p3.coef) + assert_almost_equal(p2.deriv(2).coef, p1.coef) + # default domain and window + p1 = Poly([1, 2, 3]) + p2 = p1.integ(2, k=[1, 2]) + p3 = p1.integ(1, k=[1]) + assert_almost_equal(p2.deriv(1).coef, p3.coef) + assert_almost_equal(p2.deriv(2).coef, p1.coef) + + +def test_linspace(Poly): + d = Poly.domain + random((2,)) * .25 + w = Poly.window + random((2,)) * .25 + p = Poly([1, 2, 3], domain=d, window=w) + # check default domain + xtgt = np.linspace(d[0], d[1], 20) + ytgt = p(xtgt) + xres, yres = p.linspace(20) + assert_almost_equal(xres, xtgt) + assert_almost_equal(yres, ytgt) + # check specified domain + xtgt = np.linspace(0, 2, 20) + ytgt = p(xtgt) + xres, yres = p.linspace(20, domain=[0, 2]) + assert_almost_equal(xres, xtgt) + assert_almost_equal(yres, ytgt) + + +def test_pow(Poly): + d = Poly.domain + random((2,)) * .25 + w = Poly.window + random((2,)) * .25 + tgt = Poly([1], domain=d, window=w) + tst = Poly([1, 2, 3], domain=d, window=w) + for i in range(5): + assert_poly_almost_equal(tst**i, tgt) + tgt = tgt * tst + # default domain and window + tgt = Poly([1]) + tst = Poly([1, 2, 3]) + for i in range(5): + assert_poly_almost_equal(tst**i, tgt) + tgt = tgt * tst + # check error for invalid powers + assert_raises(ValueError, op.pow, tgt, 1.5) + assert_raises(ValueError, op.pow, tgt, -1) + + +def test_call(Poly): + P = Polynomial + d = Poly.domain + x = np.linspace(d[0], d[1], 11) + + # Check defaults + p = Poly.cast(P([1, 2, 3])) + tgt = 1 + x * (2 + 3 * x) + res = p(x) + assert_almost_equal(res, tgt) + + +def test_call_with_list(Poly): + p = Poly([1, 2, 3]) + x = [-1, 0, 2] + res = p(x) + assert_equal(res, p(np.array(x))) + + +def test_cutdeg(Poly): + p = Poly([1, 2, 3]) + assert_raises(ValueError, p.cutdeg, .5) + assert_raises(ValueError, p.cutdeg, -1) + assert_equal(len(p.cutdeg(3)), 3) + assert_equal(len(p.cutdeg(2)), 3) + assert_equal(len(p.cutdeg(1)), 2) + assert_equal(len(p.cutdeg(0)), 1) + + +def test_truncate(Poly): + p = Poly([1, 2, 3]) + assert_raises(ValueError, p.truncate, .5) + assert_raises(ValueError, p.truncate, 0) + assert_equal(len(p.truncate(4)), 3) + assert_equal(len(p.truncate(3)), 3) + assert_equal(len(p.truncate(2)), 2) + assert_equal(len(p.truncate(1)), 1) + + +def test_trim(Poly): + c = [1, 1e-6, 1e-12, 0] + p = Poly(c) + assert_equal(p.trim().coef, c[:3]) + assert_equal(p.trim(1e-10).coef, c[:2]) + assert_equal(p.trim(1e-5).coef, c[:1]) + + +def test_mapparms(Poly): + # check with defaults. Should be identity. + d = Poly.domain + w = Poly.window + p = Poly([1], domain=d, window=w) + assert_almost_equal([0, 1], p.mapparms()) + # + w = 2 * d + 1 + p = Poly([1], domain=d, window=w) + assert_almost_equal([1, 2], p.mapparms()) + + +def test_ufunc_override(Poly): + p = Poly([1, 2, 3]) + x = np.ones(3) + assert_raises(TypeError, np.add, p, x) + assert_raises(TypeError, np.add, x, p) + + +# +# Test class method that only exists for some classes +# + + +class TestInterpolate: + + def f(self, x): + return x * (x - 1) * (x - 2) + + def test_raises(self): + assert_raises(ValueError, Chebyshev.interpolate, self.f, -1) + assert_raises(TypeError, Chebyshev.interpolate, self.f, 10.) + + def test_dimensions(self): + for deg in range(1, 5): + assert_(Chebyshev.interpolate(self.f, deg).degree() == deg) + + def test_approximation(self): + + def powx(x, p): + return x**p + + x = np.linspace(0, 2, 10) + for deg in range(10): + for t in range(deg + 1): + p = Chebyshev.interpolate(powx, deg, domain=[0, 2], args=(t,)) + assert_almost_equal(p(x), powx(x, t), decimal=11) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_hermite.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_hermite.py new file mode 100644 index 0000000000000000000000000000000000000000..a289ba0b50cce6e1b2d870ff28bb0b2e73edf0b9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_hermite.py @@ -0,0 +1,553 @@ +"""Tests for hermite module. + +""" +from functools import reduce + +import numpy as np +import numpy.polynomial.hermite as herm +from numpy.polynomial.polynomial import polyval +from numpy.testing import assert_, assert_almost_equal, assert_equal, assert_raises + +H0 = np.array([1]) +H1 = np.array([0, 2]) +H2 = np.array([-2, 0, 4]) +H3 = np.array([0, -12, 0, 8]) +H4 = np.array([12, 0, -48, 0, 16]) +H5 = np.array([0, 120, 0, -160, 0, 32]) +H6 = np.array([-120, 0, 720, 0, -480, 0, 64]) +H7 = np.array([0, -1680, 0, 3360, 0, -1344, 0, 128]) +H8 = np.array([1680, 0, -13440, 0, 13440, 0, -3584, 0, 256]) +H9 = np.array([0, 30240, 0, -80640, 0, 48384, 0, -9216, 0, 512]) + +Hlist = [H0, H1, H2, H3, H4, H5, H6, H7, H8, H9] + + +def trim(x): + return herm.hermtrim(x, tol=1e-6) + + +class TestConstants: + + def test_hermdomain(self): + assert_equal(herm.hermdomain, [-1, 1]) + + def test_hermzero(self): + assert_equal(herm.hermzero, [0]) + + def test_hermone(self): + assert_equal(herm.hermone, [1]) + + def test_hermx(self): + assert_equal(herm.hermx, [0, .5]) + + +class TestArithmetic: + x = np.linspace(-3, 3, 100) + + def test_hermadd(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] += 1 + res = herm.hermadd([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_hermsub(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] -= 1 + res = herm.hermsub([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_hermmulx(self): + assert_equal(herm.hermmulx([0]), [0]) + assert_equal(herm.hermmulx([1]), [0, .5]) + for i in range(1, 5): + ser = [0] * i + [1] + tgt = [0] * (i - 1) + [i, 0, .5] + assert_equal(herm.hermmulx(ser), tgt) + + def test_hermmul(self): + # check values of result + for i in range(5): + pol1 = [0] * i + [1] + val1 = herm.hermval(self.x, pol1) + for j in range(5): + msg = f"At i={i}, j={j}" + pol2 = [0] * j + [1] + val2 = herm.hermval(self.x, pol2) + pol3 = herm.hermmul(pol1, pol2) + val3 = herm.hermval(self.x, pol3) + assert_(len(pol3) == i + j + 1, msg) + assert_almost_equal(val3, val1 * val2, err_msg=msg) + + def test_hermdiv(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + ci = [0] * i + [1] + cj = [0] * j + [1] + tgt = herm.hermadd(ci, cj) + quo, rem = herm.hermdiv(tgt, ci) + res = herm.hermadd(herm.hermmul(quo, ci), rem) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_hermpow(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + c = np.arange(i + 1) + tgt = reduce(herm.hermmul, [c] * j, np.array([1])) + res = herm.hermpow(c, j) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + +class TestEvaluation: + # coefficients of 1 + 2*x + 3*x**2 + c1d = np.array([2.5, 1., .75]) + c2d = np.einsum('i,j->ij', c1d, c1d) + c3d = np.einsum('i,j,k->ijk', c1d, c1d, c1d) + + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + y = polyval(x, [1., 2., 3.]) + + def test_hermval(self): + # check empty input + assert_equal(herm.hermval([], [1]).size, 0) + + # check normal input) + x = np.linspace(-1, 1) + y = [polyval(x, c) for c in Hlist] + for i in range(10): + msg = f"At i={i}" + tgt = y[i] + res = herm.hermval(x, [0] * i + [1]) + assert_almost_equal(res, tgt, err_msg=msg) + + # check that shape is preserved + for i in range(3): + dims = [2] * i + x = np.zeros(dims) + assert_equal(herm.hermval(x, [1]).shape, dims) + assert_equal(herm.hermval(x, [1, 0]).shape, dims) + assert_equal(herm.hermval(x, [1, 0, 0]).shape, dims) + + def test_hermval2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises(ValueError, herm.hermval2d, x1, x2[:2], self.c2d) + + # test values + tgt = y1 * y2 + res = herm.hermval2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = herm.hermval2d(z, z, self.c2d) + assert_(res.shape == (2, 3)) + + def test_hermval3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises(ValueError, herm.hermval3d, x1, x2, x3[:2], self.c3d) + + # test values + tgt = y1 * y2 * y3 + res = herm.hermval3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = herm.hermval3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3)) + + def test_hermgrid2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j->ij', y1, y2) + res = herm.hermgrid2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = herm.hermgrid2d(z, z, self.c2d) + assert_(res.shape == (2, 3) * 2) + + def test_hermgrid3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j,k->ijk', y1, y2, y3) + res = herm.hermgrid3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = herm.hermgrid3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3) * 3) + + +class TestIntegral: + + def test_hermint(self): + # check exceptions + assert_raises(TypeError, herm.hermint, [0], .5) + assert_raises(ValueError, herm.hermint, [0], -1) + assert_raises(ValueError, herm.hermint, [0], 1, [0, 0]) + assert_raises(ValueError, herm.hermint, [0], lbnd=[0]) + assert_raises(ValueError, herm.hermint, [0], scl=[0]) + assert_raises(TypeError, herm.hermint, [0], axis=.5) + + # test integration of zero polynomial + for i in range(2, 5): + k = [0] * (i - 2) + [1] + res = herm.hermint([0], m=i, k=k) + assert_almost_equal(res, [0, .5]) + + # check single integration with integration constant + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [1 / scl] + hermpol = herm.poly2herm(pol) + hermint = herm.hermint(hermpol, m=1, k=[i]) + res = herm.herm2poly(hermint) + assert_almost_equal(trim(res), trim(tgt)) + + # check single integration with integration constant and lbnd + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + hermpol = herm.poly2herm(pol) + hermint = herm.hermint(hermpol, m=1, k=[i], lbnd=-1) + assert_almost_equal(herm.hermval(-1, hermint), i) + + # check single integration with integration constant and scaling + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [2 / scl] + hermpol = herm.poly2herm(pol) + hermint = herm.hermint(hermpol, m=1, k=[i], scl=2) + res = herm.herm2poly(hermint) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with default k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = herm.hermint(tgt, m=1) + res = herm.hermint(pol, m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with defined k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = herm.hermint(tgt, m=1, k=[k]) + res = herm.hermint(pol, m=j, k=list(range(j))) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with lbnd + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = herm.hermint(tgt, m=1, k=[k], lbnd=-1) + res = herm.hermint(pol, m=j, k=list(range(j)), lbnd=-1) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with scaling + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = herm.hermint(tgt, m=1, k=[k], scl=2) + res = herm.hermint(pol, m=j, k=list(range(j)), scl=2) + assert_almost_equal(trim(res), trim(tgt)) + + def test_hermint_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([herm.hermint(c) for c in c2d.T]).T + res = herm.hermint(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([herm.hermint(c) for c in c2d]) + res = herm.hermint(c2d, axis=1) + assert_almost_equal(res, tgt) + + tgt = np.vstack([herm.hermint(c, k=3) for c in c2d]) + res = herm.hermint(c2d, k=3, axis=1) + assert_almost_equal(res, tgt) + + +class TestDerivative: + + def test_hermder(self): + # check exceptions + assert_raises(TypeError, herm.hermder, [0], .5) + assert_raises(ValueError, herm.hermder, [0], -1) + + # check that zeroth derivative does nothing + for i in range(5): + tgt = [0] * i + [1] + res = herm.hermder(tgt, m=0) + assert_equal(trim(res), trim(tgt)) + + # check that derivation is the inverse of integration + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = herm.hermder(herm.hermint(tgt, m=j), m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check derivation with scaling + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = herm.hermder(herm.hermint(tgt, m=j, scl=2), m=j, scl=.5) + assert_almost_equal(trim(res), trim(tgt)) + + def test_hermder_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([herm.hermder(c) for c in c2d.T]).T + res = herm.hermder(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([herm.hermder(c) for c in c2d]) + res = herm.hermder(c2d, axis=1) + assert_almost_equal(res, tgt) + + +class TestVander: + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + + def test_hermvander(self): + # check for 1d x + x = np.arange(3) + v = herm.hermvander(x, 3) + assert_(v.shape == (3, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], herm.hermval(x, coef)) + + # check for 2d x + x = np.array([[1, 2], [3, 4], [5, 6]]) + v = herm.hermvander(x, 3) + assert_(v.shape == (3, 2, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], herm.hermval(x, coef)) + + def test_hermvander2d(self): + # also tests hermval2d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3)) + van = herm.hermvander2d(x1, x2, [1, 2]) + tgt = herm.hermval2d(x1, x2, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = herm.hermvander2d([x1], [x2], [1, 2]) + assert_(van.shape == (1, 5, 6)) + + def test_hermvander3d(self): + # also tests hermval3d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3, 4)) + van = herm.hermvander3d(x1, x2, x3, [1, 2, 3]) + tgt = herm.hermval3d(x1, x2, x3, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = herm.hermvander3d([x1], [x2], [x3], [1, 2, 3]) + assert_(van.shape == (1, 5, 24)) + + +class TestFitting: + + def test_hermfit(self): + def f(x): + return x * (x - 1) * (x - 2) + + def f2(x): + return x**4 + x**2 + 1 + + # Test exceptions + assert_raises(ValueError, herm.hermfit, [1], [1], -1) + assert_raises(TypeError, herm.hermfit, [[1]], [1], 0) + assert_raises(TypeError, herm.hermfit, [], [1], 0) + assert_raises(TypeError, herm.hermfit, [1], [[[1]]], 0) + assert_raises(TypeError, herm.hermfit, [1, 2], [1], 0) + assert_raises(TypeError, herm.hermfit, [1], [1, 2], 0) + assert_raises(TypeError, herm.hermfit, [1], [1], 0, w=[[1]]) + assert_raises(TypeError, herm.hermfit, [1], [1], 0, w=[1, 1]) + assert_raises(ValueError, herm.hermfit, [1], [1], [-1,]) + assert_raises(ValueError, herm.hermfit, [1], [1], [2, -1, 6]) + assert_raises(TypeError, herm.hermfit, [1], [1], []) + + # Test fit + x = np.linspace(0, 2) + y = f(x) + # + coef3 = herm.hermfit(x, y, 3) + assert_equal(len(coef3), 4) + assert_almost_equal(herm.hermval(x, coef3), y) + coef3 = herm.hermfit(x, y, [0, 1, 2, 3]) + assert_equal(len(coef3), 4) + assert_almost_equal(herm.hermval(x, coef3), y) + # + coef4 = herm.hermfit(x, y, 4) + assert_equal(len(coef4), 5) + assert_almost_equal(herm.hermval(x, coef4), y) + coef4 = herm.hermfit(x, y, [0, 1, 2, 3, 4]) + assert_equal(len(coef4), 5) + assert_almost_equal(herm.hermval(x, coef4), y) + # check things still work if deg is not in strict increasing + coef4 = herm.hermfit(x, y, [2, 3, 4, 1, 0]) + assert_equal(len(coef4), 5) + assert_almost_equal(herm.hermval(x, coef4), y) + # + coef2d = herm.hermfit(x, np.array([y, y]).T, 3) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + coef2d = herm.hermfit(x, np.array([y, y]).T, [0, 1, 2, 3]) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + # test weighting + w = np.zeros_like(x) + yw = y.copy() + w[1::2] = 1 + y[0::2] = 0 + wcoef3 = herm.hermfit(x, yw, 3, w=w) + assert_almost_equal(wcoef3, coef3) + wcoef3 = herm.hermfit(x, yw, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef3, coef3) + # + wcoef2d = herm.hermfit(x, np.array([yw, yw]).T, 3, w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + wcoef2d = herm.hermfit(x, np.array([yw, yw]).T, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + # test scaling with complex values x points whose square + # is zero when summed. + x = [1, 1j, -1, -1j] + assert_almost_equal(herm.hermfit(x, x, 1), [0, .5]) + assert_almost_equal(herm.hermfit(x, x, [0, 1]), [0, .5]) + # test fitting only even Legendre polynomials + x = np.linspace(-1, 1) + y = f2(x) + coef1 = herm.hermfit(x, y, 4) + assert_almost_equal(herm.hermval(x, coef1), y) + coef2 = herm.hermfit(x, y, [0, 2, 4]) + assert_almost_equal(herm.hermval(x, coef2), y) + assert_almost_equal(coef1, coef2) + + +class TestCompanion: + + def test_raises(self): + assert_raises(ValueError, herm.hermcompanion, []) + assert_raises(ValueError, herm.hermcompanion, [1]) + + def test_dimensions(self): + for i in range(1, 5): + coef = [0] * i + [1] + assert_(herm.hermcompanion(coef).shape == (i, i)) + + def test_linear_root(self): + assert_(herm.hermcompanion([1, 2])[0, 0] == -.25) + + +class TestGauss: + + def test_100(self): + x, w = herm.hermgauss(100) + + # test orthogonality. Note that the results need to be normalized, + # otherwise the huge values that can arise from fast growing + # functions like Laguerre can be very confusing. + v = herm.hermvander(x, 99) + vv = np.dot(v.T * w, v) + vd = 1 / np.sqrt(vv.diagonal()) + vv = vd[:, None] * vv * vd + assert_almost_equal(vv, np.eye(100)) + + # check that the integral of 1 is correct + tgt = np.sqrt(np.pi) + assert_almost_equal(w.sum(), tgt) + + +class TestMisc: + + def test_hermfromroots(self): + res = herm.hermfromroots([]) + assert_almost_equal(trim(res), [1]) + for i in range(1, 5): + roots = np.cos(np.linspace(-np.pi, 0, 2 * i + 1)[1::2]) + pol = herm.hermfromroots(roots) + res = herm.hermval(roots, pol) + tgt = 0 + assert_(len(pol) == i + 1) + assert_almost_equal(herm.herm2poly(pol)[-1], 1) + assert_almost_equal(res, tgt) + + def test_hermroots(self): + assert_almost_equal(herm.hermroots([1]), []) + assert_almost_equal(herm.hermroots([1, 1]), [-.5]) + for i in range(2, 5): + tgt = np.linspace(-1, 1, i) + res = herm.hermroots(herm.hermfromroots(tgt)) + assert_almost_equal(trim(res), trim(tgt)) + + def test_hermtrim(self): + coef = [2, -1, 1, 0] + + # Test exceptions + assert_raises(ValueError, herm.hermtrim, coef, -1) + + # Test results + assert_equal(herm.hermtrim(coef), coef[:-1]) + assert_equal(herm.hermtrim(coef, 1), coef[:-3]) + assert_equal(herm.hermtrim(coef, 2), [0]) + + def test_hermline(self): + assert_equal(herm.hermline(3, 4), [3, 2]) + + def test_herm2poly(self): + for i in range(10): + assert_almost_equal(herm.herm2poly([0] * i + [1]), Hlist[i]) + + def test_poly2herm(self): + for i in range(10): + assert_almost_equal(herm.poly2herm(Hlist[i]), [0] * i + [1]) + + def test_weight(self): + x = np.linspace(-5, 5, 11) + tgt = np.exp(-x**2) + res = herm.hermweight(x) + assert_almost_equal(res, tgt) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_hermite_e.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_hermite_e.py new file mode 100644 index 0000000000000000000000000000000000000000..233dfb28254a513107ced0e0d0c80af54e3e0c39 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_hermite_e.py @@ -0,0 +1,554 @@ +"""Tests for hermite_e module. + +""" +from functools import reduce + +import numpy as np +import numpy.polynomial.hermite_e as herme +from numpy.polynomial.polynomial import polyval +from numpy.testing import assert_, assert_almost_equal, assert_equal, assert_raises + +He0 = np.array([1]) +He1 = np.array([0, 1]) +He2 = np.array([-1, 0, 1]) +He3 = np.array([0, -3, 0, 1]) +He4 = np.array([3, 0, -6, 0, 1]) +He5 = np.array([0, 15, 0, -10, 0, 1]) +He6 = np.array([-15, 0, 45, 0, -15, 0, 1]) +He7 = np.array([0, -105, 0, 105, 0, -21, 0, 1]) +He8 = np.array([105, 0, -420, 0, 210, 0, -28, 0, 1]) +He9 = np.array([0, 945, 0, -1260, 0, 378, 0, -36, 0, 1]) + +Helist = [He0, He1, He2, He3, He4, He5, He6, He7, He8, He9] + + +def trim(x): + return herme.hermetrim(x, tol=1e-6) + + +class TestConstants: + + def test_hermedomain(self): + assert_equal(herme.hermedomain, [-1, 1]) + + def test_hermezero(self): + assert_equal(herme.hermezero, [0]) + + def test_hermeone(self): + assert_equal(herme.hermeone, [1]) + + def test_hermex(self): + assert_equal(herme.hermex, [0, 1]) + + +class TestArithmetic: + x = np.linspace(-3, 3, 100) + + def test_hermeadd(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] += 1 + res = herme.hermeadd([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_hermesub(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] -= 1 + res = herme.hermesub([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_hermemulx(self): + assert_equal(herme.hermemulx([0]), [0]) + assert_equal(herme.hermemulx([1]), [0, 1]) + for i in range(1, 5): + ser = [0] * i + [1] + tgt = [0] * (i - 1) + [i, 0, 1] + assert_equal(herme.hermemulx(ser), tgt) + + def test_hermemul(self): + # check values of result + for i in range(5): + pol1 = [0] * i + [1] + val1 = herme.hermeval(self.x, pol1) + for j in range(5): + msg = f"At i={i}, j={j}" + pol2 = [0] * j + [1] + val2 = herme.hermeval(self.x, pol2) + pol3 = herme.hermemul(pol1, pol2) + val3 = herme.hermeval(self.x, pol3) + assert_(len(pol3) == i + j + 1, msg) + assert_almost_equal(val3, val1 * val2, err_msg=msg) + + def test_hermediv(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + ci = [0] * i + [1] + cj = [0] * j + [1] + tgt = herme.hermeadd(ci, cj) + quo, rem = herme.hermediv(tgt, ci) + res = herme.hermeadd(herme.hermemul(quo, ci), rem) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_hermepow(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + c = np.arange(i + 1) + tgt = reduce(herme.hermemul, [c] * j, np.array([1])) + res = herme.hermepow(c, j) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + +class TestEvaluation: + # coefficients of 1 + 2*x + 3*x**2 + c1d = np.array([4., 2., 3.]) + c2d = np.einsum('i,j->ij', c1d, c1d) + c3d = np.einsum('i,j,k->ijk', c1d, c1d, c1d) + + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + y = polyval(x, [1., 2., 3.]) + + def test_hermeval(self): + # check empty input + assert_equal(herme.hermeval([], [1]).size, 0) + + # check normal input) + x = np.linspace(-1, 1) + y = [polyval(x, c) for c in Helist] + for i in range(10): + msg = f"At i={i}" + tgt = y[i] + res = herme.hermeval(x, [0] * i + [1]) + assert_almost_equal(res, tgt, err_msg=msg) + + # check that shape is preserved + for i in range(3): + dims = [2] * i + x = np.zeros(dims) + assert_equal(herme.hermeval(x, [1]).shape, dims) + assert_equal(herme.hermeval(x, [1, 0]).shape, dims) + assert_equal(herme.hermeval(x, [1, 0, 0]).shape, dims) + + def test_hermeval2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises(ValueError, herme.hermeval2d, x1, x2[:2], self.c2d) + + # test values + tgt = y1 * y2 + res = herme.hermeval2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = herme.hermeval2d(z, z, self.c2d) + assert_(res.shape == (2, 3)) + + def test_hermeval3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises(ValueError, herme.hermeval3d, x1, x2, x3[:2], self.c3d) + + # test values + tgt = y1 * y2 * y3 + res = herme.hermeval3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = herme.hermeval3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3)) + + def test_hermegrid2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j->ij', y1, y2) + res = herme.hermegrid2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = herme.hermegrid2d(z, z, self.c2d) + assert_(res.shape == (2, 3) * 2) + + def test_hermegrid3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j,k->ijk', y1, y2, y3) + res = herme.hermegrid3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = herme.hermegrid3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3) * 3) + + +class TestIntegral: + + def test_hermeint(self): + # check exceptions + assert_raises(TypeError, herme.hermeint, [0], .5) + assert_raises(ValueError, herme.hermeint, [0], -1) + assert_raises(ValueError, herme.hermeint, [0], 1, [0, 0]) + assert_raises(ValueError, herme.hermeint, [0], lbnd=[0]) + assert_raises(ValueError, herme.hermeint, [0], scl=[0]) + assert_raises(TypeError, herme.hermeint, [0], axis=.5) + + # test integration of zero polynomial + for i in range(2, 5): + k = [0] * (i - 2) + [1] + res = herme.hermeint([0], m=i, k=k) + assert_almost_equal(res, [0, 1]) + + # check single integration with integration constant + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [1 / scl] + hermepol = herme.poly2herme(pol) + hermeint = herme.hermeint(hermepol, m=1, k=[i]) + res = herme.herme2poly(hermeint) + assert_almost_equal(trim(res), trim(tgt)) + + # check single integration with integration constant and lbnd + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + hermepol = herme.poly2herme(pol) + hermeint = herme.hermeint(hermepol, m=1, k=[i], lbnd=-1) + assert_almost_equal(herme.hermeval(-1, hermeint), i) + + # check single integration with integration constant and scaling + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [2 / scl] + hermepol = herme.poly2herme(pol) + hermeint = herme.hermeint(hermepol, m=1, k=[i], scl=2) + res = herme.herme2poly(hermeint) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with default k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = herme.hermeint(tgt, m=1) + res = herme.hermeint(pol, m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with defined k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = herme.hermeint(tgt, m=1, k=[k]) + res = herme.hermeint(pol, m=j, k=list(range(j))) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with lbnd + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = herme.hermeint(tgt, m=1, k=[k], lbnd=-1) + res = herme.hermeint(pol, m=j, k=list(range(j)), lbnd=-1) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with scaling + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = herme.hermeint(tgt, m=1, k=[k], scl=2) + res = herme.hermeint(pol, m=j, k=list(range(j)), scl=2) + assert_almost_equal(trim(res), trim(tgt)) + + def test_hermeint_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([herme.hermeint(c) for c in c2d.T]).T + res = herme.hermeint(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([herme.hermeint(c) for c in c2d]) + res = herme.hermeint(c2d, axis=1) + assert_almost_equal(res, tgt) + + tgt = np.vstack([herme.hermeint(c, k=3) for c in c2d]) + res = herme.hermeint(c2d, k=3, axis=1) + assert_almost_equal(res, tgt) + + +class TestDerivative: + + def test_hermeder(self): + # check exceptions + assert_raises(TypeError, herme.hermeder, [0], .5) + assert_raises(ValueError, herme.hermeder, [0], -1) + + # check that zeroth derivative does nothing + for i in range(5): + tgt = [0] * i + [1] + res = herme.hermeder(tgt, m=0) + assert_equal(trim(res), trim(tgt)) + + # check that derivation is the inverse of integration + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = herme.hermeder(herme.hermeint(tgt, m=j), m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check derivation with scaling + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = herme.hermeder( + herme.hermeint(tgt, m=j, scl=2), m=j, scl=.5) + assert_almost_equal(trim(res), trim(tgt)) + + def test_hermeder_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([herme.hermeder(c) for c in c2d.T]).T + res = herme.hermeder(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([herme.hermeder(c) for c in c2d]) + res = herme.hermeder(c2d, axis=1) + assert_almost_equal(res, tgt) + + +class TestVander: + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + + def test_hermevander(self): + # check for 1d x + x = np.arange(3) + v = herme.hermevander(x, 3) + assert_(v.shape == (3, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], herme.hermeval(x, coef)) + + # check for 2d x + x = np.array([[1, 2], [3, 4], [5, 6]]) + v = herme.hermevander(x, 3) + assert_(v.shape == (3, 2, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], herme.hermeval(x, coef)) + + def test_hermevander2d(self): + # also tests hermeval2d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3)) + van = herme.hermevander2d(x1, x2, [1, 2]) + tgt = herme.hermeval2d(x1, x2, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = herme.hermevander2d([x1], [x2], [1, 2]) + assert_(van.shape == (1, 5, 6)) + + def test_hermevander3d(self): + # also tests hermeval3d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3, 4)) + van = herme.hermevander3d(x1, x2, x3, [1, 2, 3]) + tgt = herme.hermeval3d(x1, x2, x3, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = herme.hermevander3d([x1], [x2], [x3], [1, 2, 3]) + assert_(van.shape == (1, 5, 24)) + + +class TestFitting: + + def test_hermefit(self): + def f(x): + return x * (x - 1) * (x - 2) + + def f2(x): + return x**4 + x**2 + 1 + + # Test exceptions + assert_raises(ValueError, herme.hermefit, [1], [1], -1) + assert_raises(TypeError, herme.hermefit, [[1]], [1], 0) + assert_raises(TypeError, herme.hermefit, [], [1], 0) + assert_raises(TypeError, herme.hermefit, [1], [[[1]]], 0) + assert_raises(TypeError, herme.hermefit, [1, 2], [1], 0) + assert_raises(TypeError, herme.hermefit, [1], [1, 2], 0) + assert_raises(TypeError, herme.hermefit, [1], [1], 0, w=[[1]]) + assert_raises(TypeError, herme.hermefit, [1], [1], 0, w=[1, 1]) + assert_raises(ValueError, herme.hermefit, [1], [1], [-1,]) + assert_raises(ValueError, herme.hermefit, [1], [1], [2, -1, 6]) + assert_raises(TypeError, herme.hermefit, [1], [1], []) + + # Test fit + x = np.linspace(0, 2) + y = f(x) + # + coef3 = herme.hermefit(x, y, 3) + assert_equal(len(coef3), 4) + assert_almost_equal(herme.hermeval(x, coef3), y) + coef3 = herme.hermefit(x, y, [0, 1, 2, 3]) + assert_equal(len(coef3), 4) + assert_almost_equal(herme.hermeval(x, coef3), y) + # + coef4 = herme.hermefit(x, y, 4) + assert_equal(len(coef4), 5) + assert_almost_equal(herme.hermeval(x, coef4), y) + coef4 = herme.hermefit(x, y, [0, 1, 2, 3, 4]) + assert_equal(len(coef4), 5) + assert_almost_equal(herme.hermeval(x, coef4), y) + # check things still work if deg is not in strict increasing + coef4 = herme.hermefit(x, y, [2, 3, 4, 1, 0]) + assert_equal(len(coef4), 5) + assert_almost_equal(herme.hermeval(x, coef4), y) + # + coef2d = herme.hermefit(x, np.array([y, y]).T, 3) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + coef2d = herme.hermefit(x, np.array([y, y]).T, [0, 1, 2, 3]) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + # test weighting + w = np.zeros_like(x) + yw = y.copy() + w[1::2] = 1 + y[0::2] = 0 + wcoef3 = herme.hermefit(x, yw, 3, w=w) + assert_almost_equal(wcoef3, coef3) + wcoef3 = herme.hermefit(x, yw, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef3, coef3) + # + wcoef2d = herme.hermefit(x, np.array([yw, yw]).T, 3, w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + wcoef2d = herme.hermefit(x, np.array([yw, yw]).T, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + # test scaling with complex values x points whose square + # is zero when summed. + x = [1, 1j, -1, -1j] + assert_almost_equal(herme.hermefit(x, x, 1), [0, 1]) + assert_almost_equal(herme.hermefit(x, x, [0, 1]), [0, 1]) + # test fitting only even Legendre polynomials + x = np.linspace(-1, 1) + y = f2(x) + coef1 = herme.hermefit(x, y, 4) + assert_almost_equal(herme.hermeval(x, coef1), y) + coef2 = herme.hermefit(x, y, [0, 2, 4]) + assert_almost_equal(herme.hermeval(x, coef2), y) + assert_almost_equal(coef1, coef2) + + +class TestCompanion: + + def test_raises(self): + assert_raises(ValueError, herme.hermecompanion, []) + assert_raises(ValueError, herme.hermecompanion, [1]) + + def test_dimensions(self): + for i in range(1, 5): + coef = [0] * i + [1] + assert_(herme.hermecompanion(coef).shape == (i, i)) + + def test_linear_root(self): + assert_(herme.hermecompanion([1, 2])[0, 0] == -.5) + + +class TestGauss: + + def test_100(self): + x, w = herme.hermegauss(100) + + # test orthogonality. Note that the results need to be normalized, + # otherwise the huge values that can arise from fast growing + # functions like Laguerre can be very confusing. + v = herme.hermevander(x, 99) + vv = np.dot(v.T * w, v) + vd = 1 / np.sqrt(vv.diagonal()) + vv = vd[:, None] * vv * vd + assert_almost_equal(vv, np.eye(100)) + + # check that the integral of 1 is correct + tgt = np.sqrt(2 * np.pi) + assert_almost_equal(w.sum(), tgt) + + +class TestMisc: + + def test_hermefromroots(self): + res = herme.hermefromroots([]) + assert_almost_equal(trim(res), [1]) + for i in range(1, 5): + roots = np.cos(np.linspace(-np.pi, 0, 2 * i + 1)[1::2]) + pol = herme.hermefromroots(roots) + res = herme.hermeval(roots, pol) + tgt = 0 + assert_(len(pol) == i + 1) + assert_almost_equal(herme.herme2poly(pol)[-1], 1) + assert_almost_equal(res, tgt) + + def test_hermeroots(self): + assert_almost_equal(herme.hermeroots([1]), []) + assert_almost_equal(herme.hermeroots([1, 1]), [-1]) + for i in range(2, 5): + tgt = np.linspace(-1, 1, i) + res = herme.hermeroots(herme.hermefromroots(tgt)) + assert_almost_equal(trim(res), trim(tgt)) + + def test_hermetrim(self): + coef = [2, -1, 1, 0] + + # Test exceptions + assert_raises(ValueError, herme.hermetrim, coef, -1) + + # Test results + assert_equal(herme.hermetrim(coef), coef[:-1]) + assert_equal(herme.hermetrim(coef, 1), coef[:-3]) + assert_equal(herme.hermetrim(coef, 2), [0]) + + def test_hermeline(self): + assert_equal(herme.hermeline(3, 4), [3, 4]) + + def test_herme2poly(self): + for i in range(10): + assert_almost_equal(herme.herme2poly([0] * i + [1]), Helist[i]) + + def test_poly2herme(self): + for i in range(10): + assert_almost_equal(herme.poly2herme(Helist[i]), [0] * i + [1]) + + def test_weight(self): + x = np.linspace(-5, 5, 11) + tgt = np.exp(-.5 * x**2) + res = herme.hermeweight(x) + assert_almost_equal(res, tgt) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_laguerre.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_laguerre.py new file mode 100644 index 0000000000000000000000000000000000000000..884f15a9fe8fbe62255f5c66bd9a6b04a667ca3d --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_laguerre.py @@ -0,0 +1,535 @@ +"""Tests for laguerre module. + +""" +from functools import reduce + +import numpy as np +import numpy.polynomial.laguerre as lag +from numpy.polynomial.polynomial import polyval +from numpy.testing import assert_, assert_almost_equal, assert_equal, assert_raises + +L0 = np.array([1]) / 1 +L1 = np.array([1, -1]) / 1 +L2 = np.array([2, -4, 1]) / 2 +L3 = np.array([6, -18, 9, -1]) / 6 +L4 = np.array([24, -96, 72, -16, 1]) / 24 +L5 = np.array([120, -600, 600, -200, 25, -1]) / 120 +L6 = np.array([720, -4320, 5400, -2400, 450, -36, 1]) / 720 + +Llist = [L0, L1, L2, L3, L4, L5, L6] + + +def trim(x): + return lag.lagtrim(x, tol=1e-6) + + +class TestConstants: + + def test_lagdomain(self): + assert_equal(lag.lagdomain, [0, 1]) + + def test_lagzero(self): + assert_equal(lag.lagzero, [0]) + + def test_lagone(self): + assert_equal(lag.lagone, [1]) + + def test_lagx(self): + assert_equal(lag.lagx, [1, -1]) + + +class TestArithmetic: + x = np.linspace(-3, 3, 100) + + def test_lagadd(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] += 1 + res = lag.lagadd([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_lagsub(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] -= 1 + res = lag.lagsub([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_lagmulx(self): + assert_equal(lag.lagmulx([0]), [0]) + assert_equal(lag.lagmulx([1]), [1, -1]) + for i in range(1, 5): + ser = [0] * i + [1] + tgt = [0] * (i - 1) + [-i, 2 * i + 1, -(i + 1)] + assert_almost_equal(lag.lagmulx(ser), tgt) + + def test_lagmul(self): + # check values of result + for i in range(5): + pol1 = [0] * i + [1] + val1 = lag.lagval(self.x, pol1) + for j in range(5): + msg = f"At i={i}, j={j}" + pol2 = [0] * j + [1] + val2 = lag.lagval(self.x, pol2) + pol3 = lag.lagmul(pol1, pol2) + val3 = lag.lagval(self.x, pol3) + assert_(len(pol3) == i + j + 1, msg) + assert_almost_equal(val3, val1 * val2, err_msg=msg) + + def test_lagdiv(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + ci = [0] * i + [1] + cj = [0] * j + [1] + tgt = lag.lagadd(ci, cj) + quo, rem = lag.lagdiv(tgt, ci) + res = lag.lagadd(lag.lagmul(quo, ci), rem) + assert_almost_equal(trim(res), trim(tgt), err_msg=msg) + + def test_lagpow(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + c = np.arange(i + 1) + tgt = reduce(lag.lagmul, [c] * j, np.array([1])) + res = lag.lagpow(c, j) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + +class TestEvaluation: + # coefficients of 1 + 2*x + 3*x**2 + c1d = np.array([9., -14., 6.]) + c2d = np.einsum('i,j->ij', c1d, c1d) + c3d = np.einsum('i,j,k->ijk', c1d, c1d, c1d) + + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + y = polyval(x, [1., 2., 3.]) + + def test_lagval(self): + # check empty input + assert_equal(lag.lagval([], [1]).size, 0) + + # check normal input) + x = np.linspace(-1, 1) + y = [polyval(x, c) for c in Llist] + for i in range(7): + msg = f"At i={i}" + tgt = y[i] + res = lag.lagval(x, [0] * i + [1]) + assert_almost_equal(res, tgt, err_msg=msg) + + # check that shape is preserved + for i in range(3): + dims = [2] * i + x = np.zeros(dims) + assert_equal(lag.lagval(x, [1]).shape, dims) + assert_equal(lag.lagval(x, [1, 0]).shape, dims) + assert_equal(lag.lagval(x, [1, 0, 0]).shape, dims) + + def test_lagval2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises(ValueError, lag.lagval2d, x1, x2[:2], self.c2d) + + # test values + tgt = y1 * y2 + res = lag.lagval2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = lag.lagval2d(z, z, self.c2d) + assert_(res.shape == (2, 3)) + + def test_lagval3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises(ValueError, lag.lagval3d, x1, x2, x3[:2], self.c3d) + + # test values + tgt = y1 * y2 * y3 + res = lag.lagval3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = lag.lagval3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3)) + + def test_laggrid2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j->ij', y1, y2) + res = lag.laggrid2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = lag.laggrid2d(z, z, self.c2d) + assert_(res.shape == (2, 3) * 2) + + def test_laggrid3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j,k->ijk', y1, y2, y3) + res = lag.laggrid3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = lag.laggrid3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3) * 3) + + +class TestIntegral: + + def test_lagint(self): + # check exceptions + assert_raises(TypeError, lag.lagint, [0], .5) + assert_raises(ValueError, lag.lagint, [0], -1) + assert_raises(ValueError, lag.lagint, [0], 1, [0, 0]) + assert_raises(ValueError, lag.lagint, [0], lbnd=[0]) + assert_raises(ValueError, lag.lagint, [0], scl=[0]) + assert_raises(TypeError, lag.lagint, [0], axis=.5) + + # test integration of zero polynomial + for i in range(2, 5): + k = [0] * (i - 2) + [1] + res = lag.lagint([0], m=i, k=k) + assert_almost_equal(res, [1, -1]) + + # check single integration with integration constant + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [1 / scl] + lagpol = lag.poly2lag(pol) + lagint = lag.lagint(lagpol, m=1, k=[i]) + res = lag.lag2poly(lagint) + assert_almost_equal(trim(res), trim(tgt)) + + # check single integration with integration constant and lbnd + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + lagpol = lag.poly2lag(pol) + lagint = lag.lagint(lagpol, m=1, k=[i], lbnd=-1) + assert_almost_equal(lag.lagval(-1, lagint), i) + + # check single integration with integration constant and scaling + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [2 / scl] + lagpol = lag.poly2lag(pol) + lagint = lag.lagint(lagpol, m=1, k=[i], scl=2) + res = lag.lag2poly(lagint) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with default k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = lag.lagint(tgt, m=1) + res = lag.lagint(pol, m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with defined k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = lag.lagint(tgt, m=1, k=[k]) + res = lag.lagint(pol, m=j, k=list(range(j))) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with lbnd + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = lag.lagint(tgt, m=1, k=[k], lbnd=-1) + res = lag.lagint(pol, m=j, k=list(range(j)), lbnd=-1) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with scaling + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = lag.lagint(tgt, m=1, k=[k], scl=2) + res = lag.lagint(pol, m=j, k=list(range(j)), scl=2) + assert_almost_equal(trim(res), trim(tgt)) + + def test_lagint_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([lag.lagint(c) for c in c2d.T]).T + res = lag.lagint(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([lag.lagint(c) for c in c2d]) + res = lag.lagint(c2d, axis=1) + assert_almost_equal(res, tgt) + + tgt = np.vstack([lag.lagint(c, k=3) for c in c2d]) + res = lag.lagint(c2d, k=3, axis=1) + assert_almost_equal(res, tgt) + + +class TestDerivative: + + def test_lagder(self): + # check exceptions + assert_raises(TypeError, lag.lagder, [0], .5) + assert_raises(ValueError, lag.lagder, [0], -1) + + # check that zeroth derivative does nothing + for i in range(5): + tgt = [0] * i + [1] + res = lag.lagder(tgt, m=0) + assert_equal(trim(res), trim(tgt)) + + # check that derivation is the inverse of integration + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = lag.lagder(lag.lagint(tgt, m=j), m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check derivation with scaling + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = lag.lagder(lag.lagint(tgt, m=j, scl=2), m=j, scl=.5) + assert_almost_equal(trim(res), trim(tgt)) + + def test_lagder_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([lag.lagder(c) for c in c2d.T]).T + res = lag.lagder(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([lag.lagder(c) for c in c2d]) + res = lag.lagder(c2d, axis=1) + assert_almost_equal(res, tgt) + + +class TestVander: + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + + def test_lagvander(self): + # check for 1d x + x = np.arange(3) + v = lag.lagvander(x, 3) + assert_(v.shape == (3, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], lag.lagval(x, coef)) + + # check for 2d x + x = np.array([[1, 2], [3, 4], [5, 6]]) + v = lag.lagvander(x, 3) + assert_(v.shape == (3, 2, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], lag.lagval(x, coef)) + + def test_lagvander2d(self): + # also tests lagval2d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3)) + van = lag.lagvander2d(x1, x2, [1, 2]) + tgt = lag.lagval2d(x1, x2, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = lag.lagvander2d([x1], [x2], [1, 2]) + assert_(van.shape == (1, 5, 6)) + + def test_lagvander3d(self): + # also tests lagval3d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3, 4)) + van = lag.lagvander3d(x1, x2, x3, [1, 2, 3]) + tgt = lag.lagval3d(x1, x2, x3, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = lag.lagvander3d([x1], [x2], [x3], [1, 2, 3]) + assert_(van.shape == (1, 5, 24)) + + +class TestFitting: + + def test_lagfit(self): + def f(x): + return x * (x - 1) * (x - 2) + + # Test exceptions + assert_raises(ValueError, lag.lagfit, [1], [1], -1) + assert_raises(TypeError, lag.lagfit, [[1]], [1], 0) + assert_raises(TypeError, lag.lagfit, [], [1], 0) + assert_raises(TypeError, lag.lagfit, [1], [[[1]]], 0) + assert_raises(TypeError, lag.lagfit, [1, 2], [1], 0) + assert_raises(TypeError, lag.lagfit, [1], [1, 2], 0) + assert_raises(TypeError, lag.lagfit, [1], [1], 0, w=[[1]]) + assert_raises(TypeError, lag.lagfit, [1], [1], 0, w=[1, 1]) + assert_raises(ValueError, lag.lagfit, [1], [1], [-1,]) + assert_raises(ValueError, lag.lagfit, [1], [1], [2, -1, 6]) + assert_raises(TypeError, lag.lagfit, [1], [1], []) + + # Test fit + x = np.linspace(0, 2) + y = f(x) + # + coef3 = lag.lagfit(x, y, 3) + assert_equal(len(coef3), 4) + assert_almost_equal(lag.lagval(x, coef3), y) + coef3 = lag.lagfit(x, y, [0, 1, 2, 3]) + assert_equal(len(coef3), 4) + assert_almost_equal(lag.lagval(x, coef3), y) + # + coef4 = lag.lagfit(x, y, 4) + assert_equal(len(coef4), 5) + assert_almost_equal(lag.lagval(x, coef4), y) + coef4 = lag.lagfit(x, y, [0, 1, 2, 3, 4]) + assert_equal(len(coef4), 5) + assert_almost_equal(lag.lagval(x, coef4), y) + # + coef2d = lag.lagfit(x, np.array([y, y]).T, 3) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + coef2d = lag.lagfit(x, np.array([y, y]).T, [0, 1, 2, 3]) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + # test weighting + w = np.zeros_like(x) + yw = y.copy() + w[1::2] = 1 + y[0::2] = 0 + wcoef3 = lag.lagfit(x, yw, 3, w=w) + assert_almost_equal(wcoef3, coef3) + wcoef3 = lag.lagfit(x, yw, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef3, coef3) + # + wcoef2d = lag.lagfit(x, np.array([yw, yw]).T, 3, w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + wcoef2d = lag.lagfit(x, np.array([yw, yw]).T, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + # test scaling with complex values x points whose square + # is zero when summed. + x = [1, 1j, -1, -1j] + assert_almost_equal(lag.lagfit(x, x, 1), [1, -1]) + assert_almost_equal(lag.lagfit(x, x, [0, 1]), [1, -1]) + + +class TestCompanion: + + def test_raises(self): + assert_raises(ValueError, lag.lagcompanion, []) + assert_raises(ValueError, lag.lagcompanion, [1]) + + def test_dimensions(self): + for i in range(1, 5): + coef = [0] * i + [1] + assert_(lag.lagcompanion(coef).shape == (i, i)) + + def test_linear_root(self): + assert_(lag.lagcompanion([1, 2])[0, 0] == 1.5) + + +class TestGauss: + + def test_100(self): + x, w = lag.laggauss(100) + + # test orthogonality. Note that the results need to be normalized, + # otherwise the huge values that can arise from fast growing + # functions like Laguerre can be very confusing. + v = lag.lagvander(x, 99) + vv = np.dot(v.T * w, v) + vd = 1 / np.sqrt(vv.diagonal()) + vv = vd[:, None] * vv * vd + assert_almost_equal(vv, np.eye(100)) + + # check that the integral of 1 is correct + tgt = 1.0 + assert_almost_equal(w.sum(), tgt) + + +class TestMisc: + + def test_lagfromroots(self): + res = lag.lagfromroots([]) + assert_almost_equal(trim(res), [1]) + for i in range(1, 5): + roots = np.cos(np.linspace(-np.pi, 0, 2 * i + 1)[1::2]) + pol = lag.lagfromroots(roots) + res = lag.lagval(roots, pol) + tgt = 0 + assert_(len(pol) == i + 1) + assert_almost_equal(lag.lag2poly(pol)[-1], 1) + assert_almost_equal(res, tgt) + + def test_lagroots(self): + assert_almost_equal(lag.lagroots([1]), []) + assert_almost_equal(lag.lagroots([0, 1]), [1]) + for i in range(2, 5): + tgt = np.linspace(0, 3, i) + res = lag.lagroots(lag.lagfromroots(tgt)) + assert_almost_equal(trim(res), trim(tgt)) + + def test_lagtrim(self): + coef = [2, -1, 1, 0] + + # Test exceptions + assert_raises(ValueError, lag.lagtrim, coef, -1) + + # Test results + assert_equal(lag.lagtrim(coef), coef[:-1]) + assert_equal(lag.lagtrim(coef, 1), coef[:-3]) + assert_equal(lag.lagtrim(coef, 2), [0]) + + def test_lagline(self): + assert_equal(lag.lagline(3, 4), [7, -4]) + + def test_lag2poly(self): + for i in range(7): + assert_almost_equal(lag.lag2poly([0] * i + [1]), Llist[i]) + + def test_poly2lag(self): + for i in range(7): + assert_almost_equal(lag.poly2lag(Llist[i]), [0] * i + [1]) + + def test_weight(self): + x = np.linspace(0, 10, 11) + tgt = np.exp(-x) + res = lag.lagweight(x) + assert_almost_equal(res, tgt) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_legendre.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_legendre.py new file mode 100644 index 0000000000000000000000000000000000000000..6c87f44ee707c07f2152f242c4c7046a576fd9a5 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_legendre.py @@ -0,0 +1,566 @@ +"""Tests for legendre module. + +""" +from functools import reduce + +import numpy as np +import numpy.polynomial.legendre as leg +from numpy.polynomial.polynomial import polyval +from numpy.testing import assert_, assert_almost_equal, assert_equal, assert_raises + +L0 = np.array([1]) +L1 = np.array([0, 1]) +L2 = np.array([-1, 0, 3]) / 2 +L3 = np.array([0, -3, 0, 5]) / 2 +L4 = np.array([3, 0, -30, 0, 35]) / 8 +L5 = np.array([0, 15, 0, -70, 0, 63]) / 8 +L6 = np.array([-5, 0, 105, 0, -315, 0, 231]) / 16 +L7 = np.array([0, -35, 0, 315, 0, -693, 0, 429]) / 16 +L8 = np.array([35, 0, -1260, 0, 6930, 0, -12012, 0, 6435]) / 128 +L9 = np.array([0, 315, 0, -4620, 0, 18018, 0, -25740, 0, 12155]) / 128 + +Llist = [L0, L1, L2, L3, L4, L5, L6, L7, L8, L9] + + +def trim(x): + return leg.legtrim(x, tol=1e-6) + + +class TestConstants: + + def test_legdomain(self): + assert_equal(leg.legdomain, [-1, 1]) + + def test_legzero(self): + assert_equal(leg.legzero, [0]) + + def test_legone(self): + assert_equal(leg.legone, [1]) + + def test_legx(self): + assert_equal(leg.legx, [0, 1]) + + +class TestArithmetic: + x = np.linspace(-1, 1, 100) + + def test_legadd(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] += 1 + res = leg.legadd([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_legsub(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] -= 1 + res = leg.legsub([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_legmulx(self): + assert_equal(leg.legmulx([0]), [0]) + assert_equal(leg.legmulx([1]), [0, 1]) + for i in range(1, 5): + tmp = 2 * i + 1 + ser = [0] * i + [1] + tgt = [0] * (i - 1) + [i / tmp, 0, (i + 1) / tmp] + assert_equal(leg.legmulx(ser), tgt) + + def test_legmul(self): + # check values of result + for i in range(5): + pol1 = [0] * i + [1] + val1 = leg.legval(self.x, pol1) + for j in range(5): + msg = f"At i={i}, j={j}" + pol2 = [0] * j + [1] + val2 = leg.legval(self.x, pol2) + pol3 = leg.legmul(pol1, pol2) + val3 = leg.legval(self.x, pol3) + assert_(len(pol3) == i + j + 1, msg) + assert_almost_equal(val3, val1 * val2, err_msg=msg) + + def test_legdiv(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + ci = [0] * i + [1] + cj = [0] * j + [1] + tgt = leg.legadd(ci, cj) + quo, rem = leg.legdiv(tgt, ci) + res = leg.legadd(leg.legmul(quo, ci), rem) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_legpow(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + c = np.arange(i + 1) + tgt = reduce(leg.legmul, [c] * j, np.array([1])) + res = leg.legpow(c, j) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + +class TestEvaluation: + # coefficients of 1 + 2*x + 3*x**2 + c1d = np.array([2., 2., 2.]) + c2d = np.einsum('i,j->ij', c1d, c1d) + c3d = np.einsum('i,j,k->ijk', c1d, c1d, c1d) + + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + y = polyval(x, [1., 2., 3.]) + + def test_legval(self): + # check empty input + assert_equal(leg.legval([], [1]).size, 0) + + # check normal input) + x = np.linspace(-1, 1) + y = [polyval(x, c) for c in Llist] + for i in range(10): + msg = f"At i={i}" + tgt = y[i] + res = leg.legval(x, [0] * i + [1]) + assert_almost_equal(res, tgt, err_msg=msg) + + # check that shape is preserved + for i in range(3): + dims = [2] * i + x = np.zeros(dims) + assert_equal(leg.legval(x, [1]).shape, dims) + assert_equal(leg.legval(x, [1, 0]).shape, dims) + assert_equal(leg.legval(x, [1, 0, 0]).shape, dims) + + def test_legval2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises(ValueError, leg.legval2d, x1, x2[:2], self.c2d) + + # test values + tgt = y1 * y2 + res = leg.legval2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = leg.legval2d(z, z, self.c2d) + assert_(res.shape == (2, 3)) + + def test_legval3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises(ValueError, leg.legval3d, x1, x2, x3[:2], self.c3d) + + # test values + tgt = y1 * y2 * y3 + res = leg.legval3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = leg.legval3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3)) + + def test_leggrid2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j->ij', y1, y2) + res = leg.leggrid2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = leg.leggrid2d(z, z, self.c2d) + assert_(res.shape == (2, 3) * 2) + + def test_leggrid3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j,k->ijk', y1, y2, y3) + res = leg.leggrid3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = leg.leggrid3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3) * 3) + + +class TestIntegral: + + def test_legint(self): + # check exceptions + assert_raises(TypeError, leg.legint, [0], .5) + assert_raises(ValueError, leg.legint, [0], -1) + assert_raises(ValueError, leg.legint, [0], 1, [0, 0]) + assert_raises(ValueError, leg.legint, [0], lbnd=[0]) + assert_raises(ValueError, leg.legint, [0], scl=[0]) + assert_raises(TypeError, leg.legint, [0], axis=.5) + + # test integration of zero polynomial + for i in range(2, 5): + k = [0] * (i - 2) + [1] + res = leg.legint([0], m=i, k=k) + assert_almost_equal(res, [0, 1]) + + # check single integration with integration constant + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [1 / scl] + legpol = leg.poly2leg(pol) + legint = leg.legint(legpol, m=1, k=[i]) + res = leg.leg2poly(legint) + assert_almost_equal(trim(res), trim(tgt)) + + # check single integration with integration constant and lbnd + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + legpol = leg.poly2leg(pol) + legint = leg.legint(legpol, m=1, k=[i], lbnd=-1) + assert_almost_equal(leg.legval(-1, legint), i) + + # check single integration with integration constant and scaling + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [2 / scl] + legpol = leg.poly2leg(pol) + legint = leg.legint(legpol, m=1, k=[i], scl=2) + res = leg.leg2poly(legint) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with default k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = leg.legint(tgt, m=1) + res = leg.legint(pol, m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with defined k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = leg.legint(tgt, m=1, k=[k]) + res = leg.legint(pol, m=j, k=list(range(j))) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with lbnd + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = leg.legint(tgt, m=1, k=[k], lbnd=-1) + res = leg.legint(pol, m=j, k=list(range(j)), lbnd=-1) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with scaling + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = leg.legint(tgt, m=1, k=[k], scl=2) + res = leg.legint(pol, m=j, k=list(range(j)), scl=2) + assert_almost_equal(trim(res), trim(tgt)) + + def test_legint_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([leg.legint(c) for c in c2d.T]).T + res = leg.legint(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([leg.legint(c) for c in c2d]) + res = leg.legint(c2d, axis=1) + assert_almost_equal(res, tgt) + + tgt = np.vstack([leg.legint(c, k=3) for c in c2d]) + res = leg.legint(c2d, k=3, axis=1) + assert_almost_equal(res, tgt) + + def test_legint_zerointord(self): + assert_equal(leg.legint((1, 2, 3), 0), (1, 2, 3)) + + +class TestDerivative: + + def test_legder(self): + # check exceptions + assert_raises(TypeError, leg.legder, [0], .5) + assert_raises(ValueError, leg.legder, [0], -1) + + # check that zeroth derivative does nothing + for i in range(5): + tgt = [0] * i + [1] + res = leg.legder(tgt, m=0) + assert_equal(trim(res), trim(tgt)) + + # check that derivation is the inverse of integration + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = leg.legder(leg.legint(tgt, m=j), m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check derivation with scaling + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = leg.legder(leg.legint(tgt, m=j, scl=2), m=j, scl=.5) + assert_almost_equal(trim(res), trim(tgt)) + + def test_legder_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([leg.legder(c) for c in c2d.T]).T + res = leg.legder(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([leg.legder(c) for c in c2d]) + res = leg.legder(c2d, axis=1) + assert_almost_equal(res, tgt) + + def test_legder_orderhigherthancoeff(self): + c = (1, 2, 3, 4) + assert_equal(leg.legder(c, 4), [0]) + +class TestVander: + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + + def test_legvander(self): + # check for 1d x + x = np.arange(3) + v = leg.legvander(x, 3) + assert_(v.shape == (3, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], leg.legval(x, coef)) + + # check for 2d x + x = np.array([[1, 2], [3, 4], [5, 6]]) + v = leg.legvander(x, 3) + assert_(v.shape == (3, 2, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], leg.legval(x, coef)) + + def test_legvander2d(self): + # also tests polyval2d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3)) + van = leg.legvander2d(x1, x2, [1, 2]) + tgt = leg.legval2d(x1, x2, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = leg.legvander2d([x1], [x2], [1, 2]) + assert_(van.shape == (1, 5, 6)) + + def test_legvander3d(self): + # also tests polyval3d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3, 4)) + van = leg.legvander3d(x1, x2, x3, [1, 2, 3]) + tgt = leg.legval3d(x1, x2, x3, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = leg.legvander3d([x1], [x2], [x3], [1, 2, 3]) + assert_(van.shape == (1, 5, 24)) + + def test_legvander_negdeg(self): + assert_raises(ValueError, leg.legvander, (1, 2, 3), -1) + + +class TestFitting: + + def test_legfit(self): + def f(x): + return x * (x - 1) * (x - 2) + + def f2(x): + return x**4 + x**2 + 1 + + # Test exceptions + assert_raises(ValueError, leg.legfit, [1], [1], -1) + assert_raises(TypeError, leg.legfit, [[1]], [1], 0) + assert_raises(TypeError, leg.legfit, [], [1], 0) + assert_raises(TypeError, leg.legfit, [1], [[[1]]], 0) + assert_raises(TypeError, leg.legfit, [1, 2], [1], 0) + assert_raises(TypeError, leg.legfit, [1], [1, 2], 0) + assert_raises(TypeError, leg.legfit, [1], [1], 0, w=[[1]]) + assert_raises(TypeError, leg.legfit, [1], [1], 0, w=[1, 1]) + assert_raises(ValueError, leg.legfit, [1], [1], [-1,]) + assert_raises(ValueError, leg.legfit, [1], [1], [2, -1, 6]) + assert_raises(TypeError, leg.legfit, [1], [1], []) + + # Test fit + x = np.linspace(0, 2) + y = f(x) + # + coef3 = leg.legfit(x, y, 3) + assert_equal(len(coef3), 4) + assert_almost_equal(leg.legval(x, coef3), y) + coef3 = leg.legfit(x, y, [0, 1, 2, 3]) + assert_equal(len(coef3), 4) + assert_almost_equal(leg.legval(x, coef3), y) + # + coef4 = leg.legfit(x, y, 4) + assert_equal(len(coef4), 5) + assert_almost_equal(leg.legval(x, coef4), y) + coef4 = leg.legfit(x, y, [0, 1, 2, 3, 4]) + assert_equal(len(coef4), 5) + assert_almost_equal(leg.legval(x, coef4), y) + # check things still work if deg is not in strict increasing + coef4 = leg.legfit(x, y, [2, 3, 4, 1, 0]) + assert_equal(len(coef4), 5) + assert_almost_equal(leg.legval(x, coef4), y) + # + coef2d = leg.legfit(x, np.array([y, y]).T, 3) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + coef2d = leg.legfit(x, np.array([y, y]).T, [0, 1, 2, 3]) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + # test weighting + w = np.zeros_like(x) + yw = y.copy() + w[1::2] = 1 + y[0::2] = 0 + wcoef3 = leg.legfit(x, yw, 3, w=w) + assert_almost_equal(wcoef3, coef3) + wcoef3 = leg.legfit(x, yw, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef3, coef3) + # + wcoef2d = leg.legfit(x, np.array([yw, yw]).T, 3, w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + wcoef2d = leg.legfit(x, np.array([yw, yw]).T, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + # test scaling with complex values x points whose square + # is zero when summed. + x = [1, 1j, -1, -1j] + assert_almost_equal(leg.legfit(x, x, 1), [0, 1]) + assert_almost_equal(leg.legfit(x, x, [0, 1]), [0, 1]) + # test fitting only even Legendre polynomials + x = np.linspace(-1, 1) + y = f2(x) + coef1 = leg.legfit(x, y, 4) + assert_almost_equal(leg.legval(x, coef1), y) + coef2 = leg.legfit(x, y, [0, 2, 4]) + assert_almost_equal(leg.legval(x, coef2), y) + assert_almost_equal(coef1, coef2) + + +class TestCompanion: + + def test_raises(self): + assert_raises(ValueError, leg.legcompanion, []) + assert_raises(ValueError, leg.legcompanion, [1]) + + def test_dimensions(self): + for i in range(1, 5): + coef = [0] * i + [1] + assert_(leg.legcompanion(coef).shape == (i, i)) + + def test_linear_root(self): + assert_(leg.legcompanion([1, 2])[0, 0] == -.5) + + +class TestGauss: + + def test_100(self): + x, w = leg.leggauss(100) + + # test orthogonality. Note that the results need to be normalized, + # otherwise the huge values that can arise from fast growing + # functions like Laguerre can be very confusing. + v = leg.legvander(x, 99) + vv = np.dot(v.T * w, v) + vd = 1 / np.sqrt(vv.diagonal()) + vv = vd[:, None] * vv * vd + assert_almost_equal(vv, np.eye(100)) + + # check that the integral of 1 is correct + tgt = 2.0 + assert_almost_equal(w.sum(), tgt) + + +class TestMisc: + + def test_legfromroots(self): + res = leg.legfromroots([]) + assert_almost_equal(trim(res), [1]) + for i in range(1, 5): + roots = np.cos(np.linspace(-np.pi, 0, 2 * i + 1)[1::2]) + pol = leg.legfromroots(roots) + res = leg.legval(roots, pol) + tgt = 0 + assert_(len(pol) == i + 1) + assert_almost_equal(leg.leg2poly(pol)[-1], 1) + assert_almost_equal(res, tgt) + + def test_legroots(self): + assert_almost_equal(leg.legroots([1]), []) + assert_almost_equal(leg.legroots([1, 2]), [-.5]) + for i in range(2, 5): + tgt = np.linspace(-1, 1, i) + res = leg.legroots(leg.legfromroots(tgt)) + assert_almost_equal(trim(res), trim(tgt)) + + def test_legtrim(self): + coef = [2, -1, 1, 0] + + # Test exceptions + assert_raises(ValueError, leg.legtrim, coef, -1) + + # Test results + assert_equal(leg.legtrim(coef), coef[:-1]) + assert_equal(leg.legtrim(coef, 1), coef[:-3]) + assert_equal(leg.legtrim(coef, 2), [0]) + + def test_legline(self): + assert_equal(leg.legline(3, 4), [3, 4]) + + def test_legline_zeroscl(self): + assert_equal(leg.legline(3, 0), [3]) + + def test_leg2poly(self): + for i in range(10): + assert_almost_equal(leg.leg2poly([0] * i + [1]), Llist[i]) + + def test_poly2leg(self): + for i in range(10): + assert_almost_equal(leg.poly2leg(Llist[i]), [0] * i + [1]) + + def test_weight(self): + x = np.linspace(-1, 1, 11) + tgt = 1. + res = leg.legweight(x) + assert_almost_equal(res, tgt) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_polynomial.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_polynomial.py new file mode 100644 index 0000000000000000000000000000000000000000..4c924a758b061f5f11f86c864bb5e1cde6543c74 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_polynomial.py @@ -0,0 +1,691 @@ +"""Tests for polynomial module. + +""" +import pickle +from copy import deepcopy +from fractions import Fraction +from functools import reduce + +import pytest + +import numpy as np +import numpy.polynomial.polynomial as poly +from numpy.testing import ( + assert_, + assert_almost_equal, + assert_array_equal, + assert_equal, + assert_raises, + assert_raises_regex, +) + + +def trim(x): + return poly.polytrim(x, tol=1e-6) + + +T0 = [1] +T1 = [0, 1] +T2 = [-1, 0, 2] +T3 = [0, -3, 0, 4] +T4 = [1, 0, -8, 0, 8] +T5 = [0, 5, 0, -20, 0, 16] +T6 = [-1, 0, 18, 0, -48, 0, 32] +T7 = [0, -7, 0, 56, 0, -112, 0, 64] +T8 = [1, 0, -32, 0, 160, 0, -256, 0, 128] +T9 = [0, 9, 0, -120, 0, 432, 0, -576, 0, 256] + +Tlist = [T0, T1, T2, T3, T4, T5, T6, T7, T8, T9] + + +class TestConstants: + + def test_polydomain(self): + assert_equal(poly.polydomain, [-1, 1]) + + def test_polyzero(self): + assert_equal(poly.polyzero, [0]) + + def test_polyone(self): + assert_equal(poly.polyone, [1]) + + def test_polyx(self): + assert_equal(poly.polyx, [0, 1]) + + def test_copy(self): + x = poly.Polynomial([1, 2, 3]) + y = deepcopy(x) + assert_equal(x, y) + + def test_pickle(self): + x = poly.Polynomial([1, 2, 3]) + y = pickle.loads(pickle.dumps(x)) + assert_equal(x, y) + +class TestArithmetic: + + def test_polyadd(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] += 1 + res = poly.polyadd([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_polysub(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(max(i, j) + 1) + tgt[i] += 1 + tgt[j] -= 1 + res = poly.polysub([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_polymulx(self): + assert_equal(poly.polymulx([0]), [0]) + assert_equal(poly.polymulx([1]), [0, 1]) + for i in range(1, 5): + ser = [0] * i + [1] + tgt = [0] * (i + 1) + [1] + assert_equal(poly.polymulx(ser), tgt) + + def test_polymul(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + tgt = np.zeros(i + j + 1) + tgt[i + j] += 1 + res = poly.polymul([0] * i + [1], [0] * j + [1]) + assert_equal(trim(res), trim(tgt), err_msg=msg) + + def test_polydiv(self): + # check zero division + assert_raises(ZeroDivisionError, poly.polydiv, [1], [0]) + + # check scalar division + quo, rem = poly.polydiv([2], [2]) + assert_equal((quo, rem), (1, 0)) + quo, rem = poly.polydiv([2, 2], [2]) + assert_equal((quo, rem), ((1, 1), 0)) + + # check rest. + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + ci = [0] * i + [1, 2] + cj = [0] * j + [1, 2] + tgt = poly.polyadd(ci, cj) + quo, rem = poly.polydiv(tgt, ci) + res = poly.polyadd(poly.polymul(quo, ci), rem) + assert_equal(res, tgt, err_msg=msg) + + def test_polypow(self): + for i in range(5): + for j in range(5): + msg = f"At i={i}, j={j}" + c = np.arange(i + 1) + tgt = reduce(poly.polymul, [c] * j, np.array([1])) + res = poly.polypow(c, j) + assert_equal(trim(res), trim(tgt), err_msg=msg) + +class TestFraction: + + def test_Fraction(self): + # assert we can use Polynomials with coefficients of object dtype + f = Fraction(2, 3) + one = Fraction(1, 1) + zero = Fraction(0, 1) + p = poly.Polynomial([f, f], domain=[zero, one], window=[zero, one]) + + x = 2 * p + p ** 2 + assert_equal(x.coef, np.array([Fraction(16, 9), Fraction(20, 9), + Fraction(4, 9)], dtype=object)) + assert_equal(p.domain, [zero, one]) + assert_equal(p.coef.dtype, np.dtypes.ObjectDType()) + assert_(isinstance(p(f), Fraction)) + assert_equal(p(f), Fraction(10, 9)) + p_deriv = poly.Polynomial([Fraction(2, 3)], domain=[zero, one], + window=[zero, one]) + assert_equal(p.deriv(), p_deriv) + +class TestEvaluation: + # coefficients of 1 + 2*x + 3*x**2 + c1d = np.array([1., 2., 3.]) + c2d = np.einsum('i,j->ij', c1d, c1d) + c3d = np.einsum('i,j,k->ijk', c1d, c1d, c1d) + + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + y = poly.polyval(x, [1., 2., 3.]) + + def test_polyval(self): + # check empty input + assert_equal(poly.polyval([], [1]).size, 0) + + # check normal input) + x = np.linspace(-1, 1) + y = [x**i for i in range(5)] + for i in range(5): + tgt = y[i] + res = poly.polyval(x, [0] * i + [1]) + assert_almost_equal(res, tgt) + tgt = x * (x**2 - 1) + res = poly.polyval(x, [0, -1, 0, 1]) + assert_almost_equal(res, tgt) + + # check that shape is preserved + for i in range(3): + dims = [2] * i + x = np.zeros(dims) + assert_equal(poly.polyval(x, [1]).shape, dims) + assert_equal(poly.polyval(x, [1, 0]).shape, dims) + assert_equal(poly.polyval(x, [1, 0, 0]).shape, dims) + + # check masked arrays are processed correctly + mask = [False, True, False] + mx = np.ma.array([1, 2, 3], mask=mask) + res = np.polyval([7, 5, 3], mx) + assert_array_equal(res.mask, mask) + + # check subtypes of ndarray are preserved + class C(np.ndarray): + pass + + cx = np.array([1, 2, 3]).view(C) + assert_equal(type(np.polyval([2, 3, 4], cx)), C) + + def test_polyvalfromroots(self): + # check exception for broadcasting x values over root array with + # too few dimensions + assert_raises(ValueError, poly.polyvalfromroots, + [1], [1], tensor=False) + + # check empty input + assert_equal(poly.polyvalfromroots([], [1]).size, 0) + assert_(poly.polyvalfromroots([], [1]).shape == (0,)) + + # check empty input + multidimensional roots + assert_equal(poly.polyvalfromroots([], [[1] * 5]).size, 0) + assert_(poly.polyvalfromroots([], [[1] * 5]).shape == (5, 0)) + + # check scalar input + assert_equal(poly.polyvalfromroots(1, 1), 0) + assert_(poly.polyvalfromroots(1, np.ones((3, 3))).shape == (3,)) + + # check normal input) + x = np.linspace(-1, 1) + y = [x**i for i in range(5)] + for i in range(1, 5): + tgt = y[i] + res = poly.polyvalfromroots(x, [0] * i) + assert_almost_equal(res, tgt) + tgt = x * (x - 1) * (x + 1) + res = poly.polyvalfromroots(x, [-1, 0, 1]) + assert_almost_equal(res, tgt) + + # check that shape is preserved + for i in range(3): + dims = [2] * i + x = np.zeros(dims) + assert_equal(poly.polyvalfromroots(x, [1]).shape, dims) + assert_equal(poly.polyvalfromroots(x, [1, 0]).shape, dims) + assert_equal(poly.polyvalfromroots(x, [1, 0, 0]).shape, dims) + + # check compatibility with factorization + ptest = [15, 2, -16, -2, 1] + r = poly.polyroots(ptest) + x = np.linspace(-1, 1) + assert_almost_equal(poly.polyval(x, ptest), + poly.polyvalfromroots(x, r)) + + # check multidimensional arrays of roots and values + # check tensor=False + rshape = (3, 5) + x = np.arange(-3, 2) + r = np.random.randint(-5, 5, size=rshape) + res = poly.polyvalfromroots(x, r, tensor=False) + tgt = np.empty(r.shape[1:]) + for ii in range(tgt.size): + tgt[ii] = poly.polyvalfromroots(x[ii], r[:, ii]) + assert_equal(res, tgt) + + # check tensor=True + x = np.vstack([x, 2 * x]) + res = poly.polyvalfromroots(x, r, tensor=True) + tgt = np.empty(r.shape[1:] + x.shape) + for ii in range(r.shape[1]): + for jj in range(x.shape[0]): + tgt[ii, jj, :] = poly.polyvalfromroots(x[jj], r[:, ii]) + assert_equal(res, tgt) + + def test_polyval2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises_regex(ValueError, 'incompatible', + poly.polyval2d, x1, x2[:2], self.c2d) + + # test values + tgt = y1 * y2 + res = poly.polyval2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = poly.polyval2d(z, z, self.c2d) + assert_(res.shape == (2, 3)) + + def test_polyval3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test exceptions + assert_raises_regex(ValueError, 'incompatible', + poly.polyval3d, x1, x2, x3[:2], self.c3d) + + # test values + tgt = y1 * y2 * y3 + res = poly.polyval3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = poly.polyval3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3)) + + def test_polygrid2d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j->ij', y1, y2) + res = poly.polygrid2d(x1, x2, self.c2d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = poly.polygrid2d(z, z, self.c2d) + assert_(res.shape == (2, 3) * 2) + + def test_polygrid3d(self): + x1, x2, x3 = self.x + y1, y2, y3 = self.y + + # test values + tgt = np.einsum('i,j,k->ijk', y1, y2, y3) + res = poly.polygrid3d(x1, x2, x3, self.c3d) + assert_almost_equal(res, tgt) + + # test shape + z = np.ones((2, 3)) + res = poly.polygrid3d(z, z, z, self.c3d) + assert_(res.shape == (2, 3) * 3) + + +class TestIntegral: + + def test_polyint(self): + # check exceptions + assert_raises(TypeError, poly.polyint, [0], .5) + assert_raises(ValueError, poly.polyint, [0], -1) + assert_raises(ValueError, poly.polyint, [0], 1, [0, 0]) + assert_raises(ValueError, poly.polyint, [0], lbnd=[0]) + assert_raises(ValueError, poly.polyint, [0], scl=[0]) + assert_raises(TypeError, poly.polyint, [0], axis=.5) + assert_raises(TypeError, poly.polyint, [1, 1], 1.) + + # test integration of zero polynomial + for i in range(2, 5): + k = [0] * (i - 2) + [1] + res = poly.polyint([0], m=i, k=k) + assert_almost_equal(res, [0, 1]) + + # check single integration with integration constant + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [1 / scl] + res = poly.polyint(pol, m=1, k=[i]) + assert_almost_equal(trim(res), trim(tgt)) + + # check single integration with integration constant and lbnd + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + res = poly.polyint(pol, m=1, k=[i], lbnd=-1) + assert_almost_equal(poly.polyval(-1, res), i) + + # check single integration with integration constant and scaling + for i in range(5): + scl = i + 1 + pol = [0] * i + [1] + tgt = [i] + [0] * i + [2 / scl] + res = poly.polyint(pol, m=1, k=[i], scl=2) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with default k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = poly.polyint(tgt, m=1) + res = poly.polyint(pol, m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with defined k + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = poly.polyint(tgt, m=1, k=[k]) + res = poly.polyint(pol, m=j, k=list(range(j))) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with lbnd + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = poly.polyint(tgt, m=1, k=[k], lbnd=-1) + res = poly.polyint(pol, m=j, k=list(range(j)), lbnd=-1) + assert_almost_equal(trim(res), trim(tgt)) + + # check multiple integrations with scaling + for i in range(5): + for j in range(2, 5): + pol = [0] * i + [1] + tgt = pol[:] + for k in range(j): + tgt = poly.polyint(tgt, m=1, k=[k], scl=2) + res = poly.polyint(pol, m=j, k=list(range(j)), scl=2) + assert_almost_equal(trim(res), trim(tgt)) + + def test_polyint_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([poly.polyint(c) for c in c2d.T]).T + res = poly.polyint(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([poly.polyint(c) for c in c2d]) + res = poly.polyint(c2d, axis=1) + assert_almost_equal(res, tgt) + + tgt = np.vstack([poly.polyint(c, k=3) for c in c2d]) + res = poly.polyint(c2d, k=3, axis=1) + assert_almost_equal(res, tgt) + + +class TestDerivative: + + def test_polyder(self): + # check exceptions + assert_raises(TypeError, poly.polyder, [0], .5) + assert_raises(ValueError, poly.polyder, [0], -1) + + # check that zeroth derivative does nothing + for i in range(5): + tgt = [0] * i + [1] + res = poly.polyder(tgt, m=0) + assert_equal(trim(res), trim(tgt)) + + # check that derivation is the inverse of integration + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = poly.polyder(poly.polyint(tgt, m=j), m=j) + assert_almost_equal(trim(res), trim(tgt)) + + # check derivation with scaling + for i in range(5): + for j in range(2, 5): + tgt = [0] * i + [1] + res = poly.polyder(poly.polyint(tgt, m=j, scl=2), m=j, scl=.5) + assert_almost_equal(trim(res), trim(tgt)) + + def test_polyder_axis(self): + # check that axis keyword works + c2d = np.random.random((3, 4)) + + tgt = np.vstack([poly.polyder(c) for c in c2d.T]).T + res = poly.polyder(c2d, axis=0) + assert_almost_equal(res, tgt) + + tgt = np.vstack([poly.polyder(c) for c in c2d]) + res = poly.polyder(c2d, axis=1) + assert_almost_equal(res, tgt) + + +class TestVander: + # some random values in [-1, 1) + x = np.random.random((3, 5)) * 2 - 1 + + def test_polyvander(self): + # check for 1d x + x = np.arange(3) + v = poly.polyvander(x, 3) + assert_(v.shape == (3, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], poly.polyval(x, coef)) + + # check for 2d x + x = np.array([[1, 2], [3, 4], [5, 6]]) + v = poly.polyvander(x, 3) + assert_(v.shape == (3, 2, 4)) + for i in range(4): + coef = [0] * i + [1] + assert_almost_equal(v[..., i], poly.polyval(x, coef)) + + def test_polyvander2d(self): + # also tests polyval2d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3)) + van = poly.polyvander2d(x1, x2, [1, 2]) + tgt = poly.polyval2d(x1, x2, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = poly.polyvander2d([x1], [x2], [1, 2]) + assert_(van.shape == (1, 5, 6)) + + def test_polyvander3d(self): + # also tests polyval3d for non-square coefficient array + x1, x2, x3 = self.x + c = np.random.random((2, 3, 4)) + van = poly.polyvander3d(x1, x2, x3, [1, 2, 3]) + tgt = poly.polyval3d(x1, x2, x3, c) + res = np.dot(van, c.flat) + assert_almost_equal(res, tgt) + + # check shape + van = poly.polyvander3d([x1], [x2], [x3], [1, 2, 3]) + assert_(van.shape == (1, 5, 24)) + + def test_polyvandernegdeg(self): + x = np.arange(3) + assert_raises(ValueError, poly.polyvander, x, -1) + + +class TestCompanion: + + def test_raises(self): + assert_raises(ValueError, poly.polycompanion, []) + assert_raises(ValueError, poly.polycompanion, [1]) + + def test_dimensions(self): + for i in range(1, 5): + coef = [0] * i + [1] + assert_(poly.polycompanion(coef).shape == (i, i)) + + def test_linear_root(self): + assert_(poly.polycompanion([1, 2])[0, 0] == -.5) + + +class TestMisc: + + def test_polyfromroots(self): + res = poly.polyfromroots([]) + assert_almost_equal(trim(res), [1]) + for i in range(1, 5): + roots = np.cos(np.linspace(-np.pi, 0, 2 * i + 1)[1::2]) + tgt = Tlist[i] + res = poly.polyfromroots(roots) * 2**(i - 1) + assert_almost_equal(trim(res), trim(tgt)) + + def test_polyroots(self): + assert_almost_equal(poly.polyroots([1]), []) + assert_almost_equal(poly.polyroots([1, 2]), [-.5]) + for i in range(2, 5): + tgt = np.linspace(-1, 1, i) + res = poly.polyroots(poly.polyfromroots(tgt)) + assert_almost_equal(trim(res), trim(tgt)) + + # Testing for larger root values + for i in np.logspace(10, 25, num=1000, base=10): + tgt = np.array([-1, 1, i]) + res = poly.polyroots(poly.polyfromroots(tgt)) + # Adapting the expected precision according to the root value, + # to take into account numerical calculation error. + assert_almost_equal(res, tgt, 15 - int(np.log10(i))) + for i in np.logspace(10, 25, num=1000, base=10): + tgt = np.array([-1, 1.01, i]) + res = poly.polyroots(poly.polyfromroots(tgt)) + # Adapting the expected precision according to the root value, + # to take into account numerical calculation error. + assert_almost_equal(res, tgt, 14 - int(np.log10(i))) + + def test_polyfit(self): + def f(x): + return x * (x - 1) * (x - 2) + + def f2(x): + return x**4 + x**2 + 1 + + # Test exceptions + assert_raises(ValueError, poly.polyfit, [1], [1], -1) + assert_raises(TypeError, poly.polyfit, [[1]], [1], 0) + assert_raises(TypeError, poly.polyfit, [], [1], 0) + assert_raises(TypeError, poly.polyfit, [1], [[[1]]], 0) + assert_raises(TypeError, poly.polyfit, [1, 2], [1], 0) + assert_raises(TypeError, poly.polyfit, [1], [1, 2], 0) + assert_raises(TypeError, poly.polyfit, [1], [1], 0, w=[[1]]) + assert_raises(TypeError, poly.polyfit, [1], [1], 0, w=[1, 1]) + assert_raises(ValueError, poly.polyfit, [1], [1], [-1,]) + assert_raises(ValueError, poly.polyfit, [1], [1], [2, -1, 6]) + assert_raises(TypeError, poly.polyfit, [1], [1], []) + + # Test fit + x = np.linspace(0, 2) + y = f(x) + # + coef3 = poly.polyfit(x, y, 3) + assert_equal(len(coef3), 4) + assert_almost_equal(poly.polyval(x, coef3), y) + coef3 = poly.polyfit(x, y, [0, 1, 2, 3]) + assert_equal(len(coef3), 4) + assert_almost_equal(poly.polyval(x, coef3), y) + # + coef4 = poly.polyfit(x, y, 4) + assert_equal(len(coef4), 5) + assert_almost_equal(poly.polyval(x, coef4), y) + coef4 = poly.polyfit(x, y, [0, 1, 2, 3, 4]) + assert_equal(len(coef4), 5) + assert_almost_equal(poly.polyval(x, coef4), y) + # + coef2d = poly.polyfit(x, np.array([y, y]).T, 3) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + coef2d = poly.polyfit(x, np.array([y, y]).T, [0, 1, 2, 3]) + assert_almost_equal(coef2d, np.array([coef3, coef3]).T) + # test weighting + w = np.zeros_like(x) + yw = y.copy() + w[1::2] = 1 + yw[0::2] = 0 + wcoef3 = poly.polyfit(x, yw, 3, w=w) + assert_almost_equal(wcoef3, coef3) + wcoef3 = poly.polyfit(x, yw, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef3, coef3) + # + wcoef2d = poly.polyfit(x, np.array([yw, yw]).T, 3, w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + wcoef2d = poly.polyfit(x, np.array([yw, yw]).T, [0, 1, 2, 3], w=w) + assert_almost_equal(wcoef2d, np.array([coef3, coef3]).T) + # test scaling with complex values x points whose square + # is zero when summed. + x = [1, 1j, -1, -1j] + assert_almost_equal(poly.polyfit(x, x, 1), [0, 1]) + assert_almost_equal(poly.polyfit(x, x, [0, 1]), [0, 1]) + # test fitting only even Polyendre polynomials + x = np.linspace(-1, 1) + y = f2(x) + coef1 = poly.polyfit(x, y, 4) + assert_almost_equal(poly.polyval(x, coef1), y) + coef2 = poly.polyfit(x, y, [0, 2, 4]) + assert_almost_equal(poly.polyval(x, coef2), y) + assert_almost_equal(coef1, coef2) + + def test_polytrim(self): + coef = [2, -1, 1, 0] + + # Test exceptions + assert_raises(ValueError, poly.polytrim, coef, -1) + + # Test results + assert_equal(poly.polytrim(coef), coef[:-1]) + assert_equal(poly.polytrim(coef, 1), coef[:-3]) + assert_equal(poly.polytrim(coef, 2), [0]) + + def test_polyline(self): + assert_equal(poly.polyline(3, 4), [3, 4]) + + def test_polyline_zero(self): + assert_equal(poly.polyline(3, 0), [3]) + + def test_fit_degenerate_domain(self): + p = poly.Polynomial.fit([1], [2], deg=0) + assert_equal(p.coef, [2.]) + p = poly.Polynomial.fit([1, 1], [2, 2.1], deg=0) + assert_almost_equal(p.coef, [2.05]) + with pytest.warns(np.exceptions.RankWarning): + p = poly.Polynomial.fit([1, 1], [2, 2.1], deg=1) + + def test_result_type(self): + w = np.array([-1, 1], dtype=np.float32) + p = np.polynomial.Polynomial(w, domain=w, window=w) + v = p(2) + assert_equal(v.dtype, np.float32) + + arr = np.polydiv(1, np.float32(1)) + assert_equal(arr[0].dtype, np.float64) + +class ArrayFunctionInterceptor: + def __init__(self): + self.called = False + + def __array_function__(self, func, types, args, kwargs): + self.called = True + return "intercepted" + +def test_polyval2d_array_function_hook(): + x = ArrayFunctionInterceptor() + y = ArrayFunctionInterceptor() + c = ArrayFunctionInterceptor() + result = np.polynomial.polynomial.polyval2d(x, y, c) + assert result == "intercepted" + +def test_polygrid2d_array_function_hook(): + x = ArrayFunctionInterceptor() + y = ArrayFunctionInterceptor() + c = ArrayFunctionInterceptor() + result = np.polynomial.polynomial.polygrid2d(x, y, c) + assert result == "intercepted" diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_polyutils.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_polyutils.py new file mode 100644 index 0000000000000000000000000000000000000000..a6f5e3990b6b7f16552c071ecae3c6c52917e976 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_polyutils.py @@ -0,0 +1,123 @@ +"""Tests for polyutils module. + +""" +import numpy as np +import numpy.polynomial.polyutils as pu +from numpy.testing import assert_, assert_almost_equal, assert_equal, assert_raises + + +class TestMisc: + + def test_trimseq(self): + tgt = [1] + for num_trailing_zeros in range(5): + res = pu.trimseq([1] + [0] * num_trailing_zeros) + assert_equal(res, tgt) + + def test_trimseq_empty_input(self): + for empty_seq in [[], np.array([], dtype=np.int32)]: + assert_equal(pu.trimseq(empty_seq), empty_seq) + + def test_as_series(self): + # check exceptions + assert_raises(ValueError, pu.as_series, [[]]) + assert_raises(ValueError, pu.as_series, [[[1, 2]]]) + assert_raises(ValueError, pu.as_series, [[1], ['a']]) + # check common types + types = ['i', 'd', 'O'] + for i in range(len(types)): + for j in range(i): + ci = np.ones(1, types[i]) + cj = np.ones(1, types[j]) + [resi, resj] = pu.as_series([ci, cj]) + assert_(resi.dtype.char == resj.dtype.char) + assert_(resj.dtype.char == types[i]) + + def test_trimcoef(self): + coef = [2, -1, 1, 0] + # Test exceptions + assert_raises(ValueError, pu.trimcoef, coef, -1) + # Test results + assert_equal(pu.trimcoef(coef), coef[:-1]) + assert_equal(pu.trimcoef(coef, 1), coef[:-3]) + assert_equal(pu.trimcoef(coef, 2), [0]) + + def test_vander_nd_exception(self): + # n_dims != len(points) + assert_raises(ValueError, pu._vander_nd, (), (1, 2, 3), [90]) + # n_dims != len(degrees) + assert_raises(ValueError, pu._vander_nd, (), (), [90.65]) + # n_dims == 0 + assert_raises(ValueError, pu._vander_nd, (), (), []) + + def test_div_zerodiv(self): + # c2[-1] == 0 + assert_raises(ZeroDivisionError, pu._div, pu._div, (1, 2, 3), [0]) + + def test_pow_too_large(self): + # power > maxpower + assert_raises(ValueError, pu._pow, (), [1, 2, 3], 5, 4) + +class TestDomain: + + def test_getdomain(self): + # test for real values + x = [1, 10, 3, -1] + tgt = [-1, 10] + res = pu.getdomain(x) + assert_almost_equal(res, tgt) + + # test for complex values + x = [1 + 1j, 1 - 1j, 0, 2] + tgt = [-1j, 2 + 1j] + res = pu.getdomain(x) + assert_almost_equal(res, tgt) + + def test_mapdomain(self): + # test for real values + dom1 = [0, 4] + dom2 = [1, 3] + tgt = dom2 + res = pu.mapdomain(dom1, dom1, dom2) + assert_almost_equal(res, tgt) + + # test for complex values + dom1 = [0 - 1j, 2 + 1j] + dom2 = [-2, 2] + tgt = dom2 + x = dom1 + res = pu.mapdomain(x, dom1, dom2) + assert_almost_equal(res, tgt) + + # test for multidimensional arrays + dom1 = [0, 4] + dom2 = [1, 3] + tgt = np.array([dom2, dom2]) + x = np.array([dom1, dom1]) + res = pu.mapdomain(x, dom1, dom2) + assert_almost_equal(res, tgt) + + # test that subtypes are preserved. + class MyNDArray(np.ndarray): + pass + + dom1 = [0, 4] + dom2 = [1, 3] + x = np.array([dom1, dom1]).view(MyNDArray) + res = pu.mapdomain(x, dom1, dom2) + assert_(isinstance(res, MyNDArray)) + + def test_mapparms(self): + # test for real values + dom1 = [0, 4] + dom2 = [1, 3] + tgt = [1, .5] + res = pu. mapparms(dom1, dom2) + assert_almost_equal(res, tgt) + + # test for complex values + dom1 = [0 - 1j, 2 + 1j] + dom2 = [-2, 2] + tgt = [-1 + 1j, 1 - 1j] + res = pu.mapparms(dom1, dom2) + assert_almost_equal(res, tgt) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_printing.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_printing.py new file mode 100644 index 0000000000000000000000000000000000000000..f7d0131c94a931f48c0766170042528e52d66f1e --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_printing.py @@ -0,0 +1,557 @@ +from decimal import Decimal + +# For testing polynomial printing with object arrays +from fractions import Fraction +from math import inf, nan + +import pytest + +import numpy.polynomial as poly +from numpy._core import arange, array, printoptions +from numpy.testing import assert_, assert_equal + + +class TestStrUnicodeSuperSubscripts: + + @pytest.fixture(scope='class', autouse=True) + def use_unicode(self): + poly.set_default_printstyle('unicode') + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0·x + 3.0·x²"), + ([-1, 0, 3, -1], "-1.0 + 0.0·x + 3.0·x² - 1.0·x³"), + (arange(12), ("0.0 + 1.0·x + 2.0·x² + 3.0·x³ + 4.0·x⁴ + 5.0·x⁵ + " + "6.0·x⁶ + 7.0·x⁷ +\n8.0·x⁸ + 9.0·x⁹ + 10.0·x¹⁰ + " + "11.0·x¹¹")), + )) + def test_polynomial_str(self, inp, tgt): + p = poly.Polynomial(inp) + res = str(p) + assert_equal(res, tgt) + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0·T₁(x) + 3.0·T₂(x)"), + ([-1, 0, 3, -1], "-1.0 + 0.0·T₁(x) + 3.0·T₂(x) - 1.0·T₃(x)"), + (arange(12), ("0.0 + 1.0·T₁(x) + 2.0·T₂(x) + 3.0·T₃(x) + 4.0·T₄(x) + " + "5.0·T₅(x) +\n6.0·T₆(x) + 7.0·T₇(x) + 8.0·T₈(x) + " + "9.0·T₉(x) + 10.0·T₁₀(x) + 11.0·T₁₁(x)")), + )) + def test_chebyshev_str(self, inp, tgt): + res = str(poly.Chebyshev(inp)) + assert_equal(res, tgt) + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0·P₁(x) + 3.0·P₂(x)"), + ([-1, 0, 3, -1], "-1.0 + 0.0·P₁(x) + 3.0·P₂(x) - 1.0·P₃(x)"), + (arange(12), ("0.0 + 1.0·P₁(x) + 2.0·P₂(x) + 3.0·P₃(x) + 4.0·P₄(x) + " + "5.0·P₅(x) +\n6.0·P₆(x) + 7.0·P₇(x) + 8.0·P₈(x) + " + "9.0·P₉(x) + 10.0·P₁₀(x) + 11.0·P₁₁(x)")), + )) + def test_legendre_str(self, inp, tgt): + res = str(poly.Legendre(inp)) + assert_equal(res, tgt) + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0·H₁(x) + 3.0·H₂(x)"), + ([-1, 0, 3, -1], "-1.0 + 0.0·H₁(x) + 3.0·H₂(x) - 1.0·H₃(x)"), + (arange(12), ("0.0 + 1.0·H₁(x) + 2.0·H₂(x) + 3.0·H₃(x) + 4.0·H₄(x) + " + "5.0·H₅(x) +\n6.0·H₆(x) + 7.0·H₇(x) + 8.0·H₈(x) + " + "9.0·H₉(x) + 10.0·H₁₀(x) + 11.0·H₁₁(x)")), + )) + def test_hermite_str(self, inp, tgt): + res = str(poly.Hermite(inp)) + assert_equal(res, tgt) + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0·He₁(x) + 3.0·He₂(x)"), + ([-1, 0, 3, -1], "-1.0 + 0.0·He₁(x) + 3.0·He₂(x) - 1.0·He₃(x)"), + (arange(12), ("0.0 + 1.0·He₁(x) + 2.0·He₂(x) + 3.0·He₃(x) + " + "4.0·He₄(x) + 5.0·He₅(x) +\n6.0·He₆(x) + 7.0·He₇(x) + " + "8.0·He₈(x) + 9.0·He₉(x) + 10.0·He₁₀(x) +\n" + "11.0·He₁₁(x)")), + )) + def test_hermiteE_str(self, inp, tgt): + res = str(poly.HermiteE(inp)) + assert_equal(res, tgt) + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0·L₁(x) + 3.0·L₂(x)"), + ([-1, 0, 3, -1], "-1.0 + 0.0·L₁(x) + 3.0·L₂(x) - 1.0·L₃(x)"), + (arange(12), ("0.0 + 1.0·L₁(x) + 2.0·L₂(x) + 3.0·L₃(x) + 4.0·L₄(x) + " + "5.0·L₅(x) +\n6.0·L₆(x) + 7.0·L₇(x) + 8.0·L₈(x) + " + "9.0·L₉(x) + 10.0·L₁₀(x) + 11.0·L₁₁(x)")), + )) + def test_laguerre_str(self, inp, tgt): + res = str(poly.Laguerre(inp)) + assert_equal(res, tgt) + + def test_polynomial_str_domains(self): + res = str(poly.Polynomial([0, 1])) + tgt = '0.0 + 1.0·x' + assert_equal(res, tgt) + + res = str(poly.Polynomial([0, 1], domain=[1, 2])) + tgt = '0.0 + 1.0·(-3.0 + 2.0x)' + assert_equal(res, tgt) + +class TestStrAscii: + + @pytest.fixture(scope='class', autouse=True) + def use_ascii(self): + poly.set_default_printstyle('ascii') + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0 x + 3.0 x**2"), + ([-1, 0, 3, -1], "-1.0 + 0.0 x + 3.0 x**2 - 1.0 x**3"), + (arange(12), ("0.0 + 1.0 x + 2.0 x**2 + 3.0 x**3 + 4.0 x**4 + " + "5.0 x**5 + 6.0 x**6 +\n7.0 x**7 + 8.0 x**8 + " + "9.0 x**9 + 10.0 x**10 + 11.0 x**11")), + )) + def test_polynomial_str(self, inp, tgt): + res = str(poly.Polynomial(inp)) + assert_equal(res, tgt) + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0 T_1(x) + 3.0 T_2(x)"), + ([-1, 0, 3, -1], "-1.0 + 0.0 T_1(x) + 3.0 T_2(x) - 1.0 T_3(x)"), + (arange(12), ("0.0 + 1.0 T_1(x) + 2.0 T_2(x) + 3.0 T_3(x) + " + "4.0 T_4(x) + 5.0 T_5(x) +\n6.0 T_6(x) + 7.0 T_7(x) + " + "8.0 T_8(x) + 9.0 T_9(x) + 10.0 T_10(x) +\n" + "11.0 T_11(x)")), + )) + def test_chebyshev_str(self, inp, tgt): + res = str(poly.Chebyshev(inp)) + assert_equal(res, tgt) + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0 P_1(x) + 3.0 P_2(x)"), + ([-1, 0, 3, -1], "-1.0 + 0.0 P_1(x) + 3.0 P_2(x) - 1.0 P_3(x)"), + (arange(12), ("0.0 + 1.0 P_1(x) + 2.0 P_2(x) + 3.0 P_3(x) + " + "4.0 P_4(x) + 5.0 P_5(x) +\n6.0 P_6(x) + 7.0 P_7(x) + " + "8.0 P_8(x) + 9.0 P_9(x) + 10.0 P_10(x) +\n" + "11.0 P_11(x)")), + )) + def test_legendre_str(self, inp, tgt): + res = str(poly.Legendre(inp)) + assert_equal(res, tgt) + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0 H_1(x) + 3.0 H_2(x)"), + ([-1, 0, 3, -1], "-1.0 + 0.0 H_1(x) + 3.0 H_2(x) - 1.0 H_3(x)"), + (arange(12), ("0.0 + 1.0 H_1(x) + 2.0 H_2(x) + 3.0 H_3(x) + " + "4.0 H_4(x) + 5.0 H_5(x) +\n6.0 H_6(x) + 7.0 H_7(x) + " + "8.0 H_8(x) + 9.0 H_9(x) + 10.0 H_10(x) +\n" + "11.0 H_11(x)")), + )) + def test_hermite_str(self, inp, tgt): + res = str(poly.Hermite(inp)) + assert_equal(res, tgt) + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0 He_1(x) + 3.0 He_2(x)"), + ([-1, 0, 3, -1], "-1.0 + 0.0 He_1(x) + 3.0 He_2(x) - 1.0 He_3(x)"), + (arange(12), ("0.0 + 1.0 He_1(x) + 2.0 He_2(x) + 3.0 He_3(x) + " + "4.0 He_4(x) +\n5.0 He_5(x) + 6.0 He_6(x) + " + "7.0 He_7(x) + 8.0 He_8(x) + 9.0 He_9(x) +\n" + "10.0 He_10(x) + 11.0 He_11(x)")), + )) + def test_hermiteE_str(self, inp, tgt): + res = str(poly.HermiteE(inp)) + assert_equal(res, tgt) + + @pytest.mark.parametrize(('inp', 'tgt'), ( + ([1, 2, 3], "1.0 + 2.0 L_1(x) + 3.0 L_2(x)"), + ([-1, 0, 3, -1], "-1.0 + 0.0 L_1(x) + 3.0 L_2(x) - 1.0 L_3(x)"), + (arange(12), ("0.0 + 1.0 L_1(x) + 2.0 L_2(x) + 3.0 L_3(x) + " + "4.0 L_4(x) + 5.0 L_5(x) +\n6.0 L_6(x) + 7.0 L_7(x) + " + "8.0 L_8(x) + 9.0 L_9(x) + 10.0 L_10(x) +\n" + "11.0 L_11(x)")), + )) + def test_laguerre_str(self, inp, tgt): + res = str(poly.Laguerre(inp)) + assert_equal(res, tgt) + + def test_polynomial_str_domains(self): + res = str(poly.Polynomial([0, 1])) + tgt = '0.0 + 1.0 x' + assert_equal(res, tgt) + + res = str(poly.Polynomial([0, 1], domain=[1, 2])) + tgt = '0.0 + 1.0 (-3.0 + 2.0x)' + assert_equal(res, tgt) + +class TestLinebreaking: + + @pytest.fixture(scope='class', autouse=True) + def use_ascii(self): + poly.set_default_printstyle('ascii') + + def test_single_line_one_less(self): + # With 'ascii' style, len(str(p)) is default linewidth - 1 (i.e. 74) + p = poly.Polynomial([12345678, 12345678, 12345678, 12345678, 123]) + assert_equal(len(str(p)), 74) + assert_equal(str(p), ( + '12345678.0 + 12345678.0 x + 12345678.0 x**2 + ' + '12345678.0 x**3 + 123.0 x**4' + )) + + def test_num_chars_is_linewidth(self): + # len(str(p)) == default linewidth == 75 + p = poly.Polynomial([12345678, 12345678, 12345678, 12345678, 1234]) + assert_equal(len(str(p)), 75) + assert_equal(str(p), ( + '12345678.0 + 12345678.0 x + 12345678.0 x**2 + ' + '12345678.0 x**3 +\n1234.0 x**4' + )) + + def test_first_linebreak_multiline_one_less_than_linewidth(self): + # Multiline str where len(first_line) + len(next_term) == lw - 1 == 74 + p = poly.Polynomial( + [12345678, 12345678, 12345678, 12345678, 1, 12345678] + ) + assert_equal(len(str(p).split('\n')[0]), 74) + assert_equal(str(p), ( + '12345678.0 + 12345678.0 x + 12345678.0 x**2 + ' + '12345678.0 x**3 + 1.0 x**4 +\n12345678.0 x**5' + )) + + def test_first_linebreak_multiline_on_linewidth(self): + # First line is one character longer than previous test + p = poly.Polynomial( + [12345678, 12345678, 12345678, 12345678.12, 1, 12345678] + ) + assert_equal(str(p), ( + '12345678.0 + 12345678.0 x + 12345678.0 x**2 + ' + '12345678.12 x**3 +\n1.0 x**4 + 12345678.0 x**5' + )) + + @pytest.mark.parametrize(('lw', 'tgt'), ( + (75, ('0.0 + 10.0 x + 200.0 x**2 + 3000.0 x**3 + 40000.0 x**4 + ' + '500000.0 x**5 +\n600000.0 x**6 + 70000.0 x**7 + 8000.0 x**8 + ' + '900.0 x**9')), + (45, ('0.0 + 10.0 x + 200.0 x**2 + 3000.0 x**3 +\n40000.0 x**4 + ' + '500000.0 x**5 +\n600000.0 x**6 + 70000.0 x**7 + 8000.0 x**8 +\n' + '900.0 x**9')), + (132, ('0.0 + 10.0 x + 200.0 x**2 + 3000.0 x**3 + 40000.0 x**4 + ' + '500000.0 x**5 + 600000.0 x**6 + 70000.0 x**7 + 8000.0 x**8 + ' + '900.0 x**9')), + )) + def test_linewidth_printoption(self, lw, tgt): + p = poly.Polynomial( + [0, 10, 200, 3000, 40000, 500000, 600000, 70000, 8000, 900] + ) + with printoptions(linewidth=lw): + assert_equal(str(p), tgt) + for line in str(p).split('\n'): + assert_(len(line) < lw) + + +@pytest.mark.thread_unsafe(reason="set_default_printstyle() is global state") +def test_set_default_printoptions(): + p = poly.Polynomial([1, 2, 3]) + c = poly.Chebyshev([1, 2, 3]) + poly.set_default_printstyle('ascii') + assert_equal(str(p), "1.0 + 2.0 x + 3.0 x**2") + assert_equal(str(c), "1.0 + 2.0 T_1(x) + 3.0 T_2(x)") + poly.set_default_printstyle('unicode') + assert_equal(str(p), "1.0 + 2.0·x + 3.0·x²") + assert_equal(str(c), "1.0 + 2.0·T₁(x) + 3.0·T₂(x)") + with pytest.raises(ValueError): + poly.set_default_printstyle('invalid_input') + + +@pytest.mark.thread_unsafe(reason="set_default_printstyle() is global state") +def test_complex_coefficients(): + """Test both numpy and built-in complex.""" + coefs = [0 + 1j, 1 + 1j, -2 + 2j, 3 + 0j] + # numpy complex + p1 = poly.Polynomial(coefs) + # Python complex + p2 = poly.Polynomial(array(coefs, dtype=object)) + poly.set_default_printstyle('unicode') + assert_equal(str(p1), "1j + (1+1j)·x - (2-2j)·x² + (3+0j)·x³") + assert_equal(str(p2), "1j + (1+1j)·x + (-2+2j)·x² + (3+0j)·x³") + poly.set_default_printstyle('ascii') + assert_equal(str(p1), "1j + (1+1j) x - (2-2j) x**2 + (3+0j) x**3") + assert_equal(str(p2), "1j + (1+1j) x + (-2+2j) x**2 + (3+0j) x**3") + + +@pytest.mark.parametrize(('coefs', 'tgt'), ( + (array([Fraction(1, 2), Fraction(3, 4)], dtype=object), ( + "1/2 + 3/4·x" + )), + (array([1, 2, Fraction(5, 7)], dtype=object), ( + "1 + 2·x + 5/7·x²" + )), + (array([Decimal('1.00'), Decimal('2.2'), 3], dtype=object), ( + "1.00 + 2.2·x + 3·x²" + )), +)) +def test_numeric_object_coefficients(coefs, tgt): + p = poly.Polynomial(coefs) + poly.set_default_printstyle('unicode') + assert_equal(str(p), tgt) + + +@pytest.mark.parametrize(('coefs', 'tgt'), ( + (array([1, 2, 'f'], dtype=object), '1 + 2·x + f·x²'), + (array([1, 2, [3, 4]], dtype=object), '1 + 2·x + [3, 4]·x²'), +)) +def test_nonnumeric_object_coefficients(coefs, tgt): + """ + Test coef fallback for object arrays of non-numeric coefficients. + """ + p = poly.Polynomial(coefs) + poly.set_default_printstyle('unicode') + assert_equal(str(p), tgt) + + +class TestFormat: + def test_format_unicode(self): + poly.set_default_printstyle('ascii') + p = poly.Polynomial([1, 2, 0, -1]) + assert_equal(format(p, 'unicode'), "1.0 + 2.0·x + 0.0·x² - 1.0·x³") + + def test_format_ascii(self): + poly.set_default_printstyle('unicode') + p = poly.Polynomial([1, 2, 0, -1]) + assert_equal( + format(p, 'ascii'), "1.0 + 2.0 x + 0.0 x**2 - 1.0 x**3" + ) + + def test_empty_formatstr(self): + poly.set_default_printstyle('ascii') + p = poly.Polynomial([1, 2, 3]) + assert_equal(format(p), "1.0 + 2.0 x + 3.0 x**2") + assert_equal(f"{p}", "1.0 + 2.0 x + 3.0 x**2") + + def test_bad_formatstr(self): + p = poly.Polynomial([1, 2, 0, -1]) + with pytest.raises(ValueError): + format(p, '.2f') + + +@pytest.mark.parametrize(('poly', 'tgt'), ( + (poly.Polynomial, '1.0 + 2.0·z + 3.0·z²'), + (poly.Chebyshev, '1.0 + 2.0·T₁(z) + 3.0·T₂(z)'), + (poly.Hermite, '1.0 + 2.0·H₁(z) + 3.0·H₂(z)'), + (poly.HermiteE, '1.0 + 2.0·He₁(z) + 3.0·He₂(z)'), + (poly.Laguerre, '1.0 + 2.0·L₁(z) + 3.0·L₂(z)'), + (poly.Legendre, '1.0 + 2.0·P₁(z) + 3.0·P₂(z)'), +)) +def test_symbol(poly, tgt): + p = poly([1, 2, 3], symbol='z') + assert_equal(f"{p:unicode}", tgt) + + +class TestRepr: + def test_polynomial_repr(self): + res = repr(poly.Polynomial([0, 1])) + tgt = ( + "Polynomial([0., 1.], domain=[-1., 1.], window=[-1., 1.], " + "symbol='x')" + ) + assert_equal(res, tgt) + + def test_chebyshev_repr(self): + res = repr(poly.Chebyshev([0, 1])) + tgt = ( + "Chebyshev([0., 1.], domain=[-1., 1.], window=[-1., 1.], " + "symbol='x')" + ) + assert_equal(res, tgt) + + def test_legendre_repr(self): + res = repr(poly.Legendre([0, 1])) + tgt = ( + "Legendre([0., 1.], domain=[-1., 1.], window=[-1., 1.], " + "symbol='x')" + ) + assert_equal(res, tgt) + + def test_hermite_repr(self): + res = repr(poly.Hermite([0, 1])) + tgt = ( + "Hermite([0., 1.], domain=[-1., 1.], window=[-1., 1.], " + "symbol='x')" + ) + assert_equal(res, tgt) + + def test_hermiteE_repr(self): + res = repr(poly.HermiteE([0, 1])) + tgt = ( + "HermiteE([0., 1.], domain=[-1., 1.], window=[-1., 1.], " + "symbol='x')" + ) + assert_equal(res, tgt) + + def test_laguerre_repr(self): + res = repr(poly.Laguerre([0, 1])) + tgt = ( + "Laguerre([0., 1.], domain=[0., 1.], window=[0., 1.], " + "symbol='x')" + ) + assert_equal(res, tgt) + + +class TestLatexRepr: + """Test the latex repr used by Jupyter""" + + @staticmethod + def as_latex(obj): + # right now we ignore the formatting of scalars in our tests, since + # it makes them too verbose. Ideally, the formatting of scalars will + # be fixed such that tests below continue to pass + obj._repr_latex_scalar = lambda x, parens=False: str(x) + try: + return obj._repr_latex_() + finally: + del obj._repr_latex_scalar + + def test_simple_polynomial(self): + # default input + p = poly.Polynomial([1, 2, 3]) + assert_equal(self.as_latex(p), + r'$x \mapsto 1.0 + 2.0\,x + 3.0\,x^{2}$') + + # translated input + p = poly.Polynomial([1, 2, 3], domain=[-2, 0]) + assert_equal(self.as_latex(p), + r'$x \mapsto 1.0 + 2.0\,\left(1.0 + x\right) + 3.0\,\left(1.0 + x\right)^{2}$') # noqa: E501 + + # scaled input + p = poly.Polynomial([1, 2, 3], domain=[-0.5, 0.5]) + assert_equal(self.as_latex(p), + r'$x \mapsto 1.0 + 2.0\,\left(2.0x\right) + 3.0\,\left(2.0x\right)^{2}$') + + # affine input + p = poly.Polynomial([1, 2, 3], domain=[-1, 0]) + assert_equal(self.as_latex(p), + r'$x \mapsto 1.0 + 2.0\,\left(1.0 + 2.0x\right) + 3.0\,\left(1.0 + 2.0x\right)^{2}$') # noqa: E501 + + def test_basis_func(self): + p = poly.Chebyshev([1, 2, 3]) + assert_equal(self.as_latex(p), + r'$x \mapsto 1.0\,{T}_{0}(x) + 2.0\,{T}_{1}(x) + 3.0\,{T}_{2}(x)$') + # affine input - check no surplus parens are added + p = poly.Chebyshev([1, 2, 3], domain=[-1, 0]) + assert_equal(self.as_latex(p), + r'$x \mapsto 1.0\,{T}_{0}(1.0 + 2.0x) + 2.0\,{T}_{1}(1.0 + 2.0x) + 3.0\,{T}_{2}(1.0 + 2.0x)$') # noqa: E501 + + def test_multichar_basis_func(self): + p = poly.HermiteE([1, 2, 3]) + assert_equal(self.as_latex(p), + r'$x \mapsto 1.0\,{He}_{0}(x) + 2.0\,{He}_{1}(x) + 3.0\,{He}_{2}(x)$') + + def test_symbol_basic(self): + # default input + p = poly.Polynomial([1, 2, 3], symbol='z') + assert_equal(self.as_latex(p), + r'$z \mapsto 1.0 + 2.0\,z + 3.0\,z^{2}$') + + # translated input + p = poly.Polynomial([1, 2, 3], domain=[-2, 0], symbol='z') + assert_equal( + self.as_latex(p), + ( + r'$z \mapsto 1.0 + 2.0\,\left(1.0 + z\right) + 3.0\,' + r'\left(1.0 + z\right)^{2}$' + ), + ) + + # scaled input + p = poly.Polynomial([1, 2, 3], domain=[-0.5, 0.5], symbol='z') + assert_equal( + self.as_latex(p), + ( + r'$z \mapsto 1.0 + 2.0\,\left(2.0z\right) + 3.0\,' + r'\left(2.0z\right)^{2}$' + ), + ) + + # affine input + p = poly.Polynomial([1, 2, 3], domain=[-1, 0], symbol='z') + assert_equal( + self.as_latex(p), + ( + r'$z \mapsto 1.0 + 2.0\,\left(1.0 + 2.0z\right) + 3.0\,' + r'\left(1.0 + 2.0z\right)^{2}$' + ), + ) + + def test_numeric_object_coefficients(self): + coefs = array([Fraction(1, 2), Fraction(1)]) + p = poly.Polynomial(coefs) + assert_equal(self.as_latex(p), '$x \\mapsto 1/2 + 1\\,x$') + + +SWITCH_TO_EXP = ( + '1.0 + (1.0e-01) x + (1.0e-02) x**2', + '1.2 + (1.2e-01) x + (1.2e-02) x**2', + '1.23 + 0.12 x + (1.23e-02) x**2 + (1.23e-03) x**3', + '1.235 + 0.123 x + (1.235e-02) x**2 + (1.235e-03) x**3', + '1.2346 + 0.1235 x + 0.0123 x**2 + (1.2346e-03) x**3 + (1.2346e-04) x**4', + '1.23457 + 0.12346 x + 0.01235 x**2 + (1.23457e-03) x**3 + ' + '(1.23457e-04) x**4', + '1.234568 + 0.123457 x + 0.012346 x**2 + 0.001235 x**3 + ' + '(1.234568e-04) x**4 + (1.234568e-05) x**5', + '1.2345679 + 0.1234568 x + 0.0123457 x**2 + 0.0012346 x**3 + ' + '(1.2345679e-04) x**4 + (1.2345679e-05) x**5') + +class TestPrintOptions: + """ + Test the output is properly configured via printoptions. + The exponential notation is enabled automatically when the values + are too small or too large. + """ + + @pytest.fixture(scope='class', autouse=True) + def use_ascii(self): + poly.set_default_printstyle('ascii') + + def test_str(self): + p = poly.Polynomial([1 / 2, 1 / 7, 1 / 7 * 10**8, 1 / 7 * 10**9]) + assert_equal(str(p), '0.5 + 0.14285714 x + 14285714.28571429 x**2 ' + '+ (1.42857143e+08) x**3') + + with printoptions(precision=3): + assert_equal(str(p), '0.5 + 0.143 x + 14285714.286 x**2 ' + '+ (1.429e+08) x**3') + + def test_latex(self): + p = poly.Polynomial([1 / 2, 1 / 7, 1 / 7 * 10**8, 1 / 7 * 10**9]) + assert_equal(p._repr_latex_(), + r'$x \mapsto \text{0.5} + \text{0.14285714}\,x + ' + r'\text{14285714.28571429}\,x^{2} + ' + r'\text{(1.42857143e+08)}\,x^{3}$') + + with printoptions(precision=3): + assert_equal(p._repr_latex_(), + r'$x \mapsto \text{0.5} + \text{0.143}\,x + ' + r'\text{14285714.286}\,x^{2} + \text{(1.429e+08)}\,x^{3}$') + + def test_fixed(self): + p = poly.Polynomial([1 / 2]) + assert_equal(str(p), '0.5') + + with printoptions(floatmode='fixed'): + assert_equal(str(p), '0.50000000') + + with printoptions(floatmode='fixed', precision=4): + assert_equal(str(p), '0.5000') + + def test_switch_to_exp(self): + for i, s in enumerate(SWITCH_TO_EXP): + with printoptions(precision=i): + p = poly.Polynomial([1.23456789 * 10**-i + for i in range(i // 2 + 3)]) + assert str(p).replace('\n', ' ') == s + + def test_non_finite(self): + p = poly.Polynomial([nan, inf]) + assert str(p) == 'nan + inf x' + assert p._repr_latex_() == r'$x \mapsto \text{nan} + \text{inf}\,x$' # noqa: RUF027 + with printoptions(nanstr='NAN', infstr='INF'): + assert str(p) == 'NAN + INF x' + assert p._repr_latex_() == \ + r'$x \mapsto \text{NAN} + \text{INF}\,x$' diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_symbol.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_symbol.py new file mode 100644 index 0000000000000000000000000000000000000000..3de9e38ced089f12f54073ed132fa9b42587facf --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/polynomial/tests/test_symbol.py @@ -0,0 +1,217 @@ +""" +Tests related to the ``symbol`` attribute of the ABCPolyBase class. +""" + +import pytest + +import numpy.polynomial as poly +from numpy._core import array +from numpy.testing import assert_, assert_equal, assert_raises + + +class TestInit: + """ + Test polynomial creation with symbol kwarg. + """ + c = [1, 2, 3] + + def test_default_symbol(self): + p = poly.Polynomial(self.c) + assert_equal(p.symbol, 'x') + + @pytest.mark.parametrize(('bad_input', 'exception'), ( + ('', ValueError), + ('3', ValueError), + (None, TypeError), + (1, TypeError), + )) + def test_symbol_bad_input(self, bad_input, exception): + with pytest.raises(exception): + p = poly.Polynomial(self.c, symbol=bad_input) + + @pytest.mark.parametrize('symbol', ( + 'x', + 'x_1', + 'A', + 'xyz', + 'β', + )) + def test_valid_symbols(self, symbol): + """ + Values for symbol that should pass input validation. + """ + p = poly.Polynomial(self.c, symbol=symbol) + assert_equal(p.symbol, symbol) + + def test_property(self): + """ + 'symbol' attribute is read only. + """ + p = poly.Polynomial(self.c, symbol='x') + with pytest.raises(AttributeError): + p.symbol = 'z' + + def test_change_symbol(self): + p = poly.Polynomial(self.c, symbol='y') + # Create new polynomial from p with different symbol + pt = poly.Polynomial(p.coef, symbol='t') + assert_equal(pt.symbol, 't') + + +class TestUnaryOperators: + p = poly.Polynomial([1, 2, 3], symbol='z') + + def test_neg(self): + n = -self.p + assert_equal(n.symbol, 'z') + + def test_scalarmul(self): + out = self.p * 10 + assert_equal(out.symbol, 'z') + + def test_rscalarmul(self): + out = 10 * self.p + assert_equal(out.symbol, 'z') + + def test_pow(self): + out = self.p ** 3 + assert_equal(out.symbol, 'z') + + +@pytest.mark.parametrize( + 'rhs', + ( + poly.Polynomial([4, 5, 6], symbol='z'), + array([4, 5, 6]), + ), +) +class TestBinaryOperatorsSameSymbol: + """ + Ensure symbol is preserved for numeric operations on polynomials with + the same symbol + """ + p = poly.Polynomial([1, 2, 3], symbol='z') + + def test_add(self, rhs): + out = self.p + rhs + assert_equal(out.symbol, 'z') + + def test_sub(self, rhs): + out = self.p - rhs + assert_equal(out.symbol, 'z') + + def test_polymul(self, rhs): + out = self.p * rhs + assert_equal(out.symbol, 'z') + + def test_divmod(self, rhs): + for out in divmod(self.p, rhs): + assert_equal(out.symbol, 'z') + + def test_radd(self, rhs): + out = rhs + self.p + assert_equal(out.symbol, 'z') + + def test_rsub(self, rhs): + out = rhs - self.p + assert_equal(out.symbol, 'z') + + def test_rmul(self, rhs): + out = rhs * self.p + assert_equal(out.symbol, 'z') + + def test_rdivmod(self, rhs): + for out in divmod(rhs, self.p): + assert_equal(out.symbol, 'z') + + +class TestBinaryOperatorsDifferentSymbol: + p = poly.Polynomial([1, 2, 3], symbol='x') + other = poly.Polynomial([4, 5, 6], symbol='y') + ops = (p.__add__, p.__sub__, p.__mul__, p.__floordiv__, p.__mod__) + + @pytest.mark.parametrize('f', ops) + def test_binops_fails(self, f): + assert_raises(ValueError, f, self.other) + + +class TestEquality: + p = poly.Polynomial([1, 2, 3], symbol='x') + + def test_eq(self): + other = poly.Polynomial([1, 2, 3], symbol='x') + assert_(self.p == other) + + def test_neq(self): + other = poly.Polynomial([1, 2, 3], symbol='y') + assert_(not self.p == other) + + +class TestExtraMethods: + """ + Test other methods for manipulating/creating polynomial objects. + """ + p = poly.Polynomial([1, 2, 3, 0], symbol='z') + + def test_copy(self): + other = self.p.copy() + assert_equal(other.symbol, 'z') + + def test_trim(self): + other = self.p.trim() + assert_equal(other.symbol, 'z') + + def test_truncate(self): + other = self.p.truncate(2) + assert_equal(other.symbol, 'z') + + @pytest.mark.parametrize('kwarg', ( + {'domain': [-10, 10]}, + {'window': [-10, 10]}, + {'kind': poly.Chebyshev}, + )) + def test_convert(self, kwarg): + other = self.p.convert(**kwarg) + assert_equal(other.symbol, 'z') + + def test_integ(self): + other = self.p.integ() + assert_equal(other.symbol, 'z') + + def test_deriv(self): + other = self.p.deriv() + assert_equal(other.symbol, 'z') + + +def test_composition(): + p = poly.Polynomial([3, 2, 1], symbol="t") + q = poly.Polynomial([5, 1, 0, -1], symbol="λ_1") + r = p(q) + assert r.symbol == "λ_1" + + +# +# Class methods that result in new polynomial class instances +# + + +def test_fit(): + x, y = (range(10),) * 2 + p = poly.Polynomial.fit(x, y, deg=1, symbol='z') + assert_equal(p.symbol, 'z') + + +def test_froomroots(): + roots = [-2, 2] + p = poly.Polynomial.fromroots(roots, symbol='z') + assert_equal(p.symbol, 'z') + + +def test_identity(): + p = poly.Polynomial.identity(domain=[-1, 1], window=[5, 20], symbol='z') + assert_equal(p.symbol, 'z') + + +def test_basis(): + p = poly.Polynomial.basis(3, symbol='z') + assert_equal(p.symbol, 'z') diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/py.typed b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/py.typed new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/LICENSE.md b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/LICENSE.md new file mode 100644 index 0000000000000000000000000000000000000000..a6cf1b17e99725556ac56ce3661498df1ee2276a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/LICENSE.md @@ -0,0 +1,71 @@ +**This software is dual-licensed under the The University of Illinois/NCSA +Open Source License (NCSA) and The 3-Clause BSD License** + +# NCSA Open Source License +**Copyright (c) 2019 Kevin Sheppard. All rights reserved.** + +Developed by: Kevin Sheppard (, +) +[http://www.kevinsheppard.com](http://www.kevinsheppard.com) + +Permission is hereby granted, free of charge, to any person obtaining a copy of +this software and associated documentation files (the "Software"), to deal with +the Software without restriction, including without limitation the rights to +use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies +of the Software, and to permit persons to whom the Software is furnished to do +so, subject to the following conditions: + +Redistributions of source code must retain the above copyright notice, this +list of conditions and the following disclaimers. + +Redistributions in binary form must reproduce the above copyright notice, this +list of conditions and the following disclaimers in the documentation and/or +other materials provided with the distribution. + +Neither the names of Kevin Sheppard, nor the names of any contributors may be +used to endorse or promote products derived from this Software without specific +prior written permission. + +**THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +CONTRIBUTORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH +THE SOFTWARE.** + + +# 3-Clause BSD License +**Copyright (c) 2019 Kevin Sheppard. All rights reserved.** + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + +1. Redistributions of source code must retain the above copyright notice, + this list of conditions and the following disclaimer. + +2. Redistributions in binary form must reproduce the above copyright notice, + this list of conditions and the following disclaimer in the documentation + and/or other materials provided with the distribution. + +3. Neither the name of the copyright holder nor the names of its contributors + may be used to endorse or promote products derived from this software + without specific prior written permission. + +**THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE +LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF +THE POSSIBILITY OF SUCH DAMAGE.** + +# Components + +Many parts of this module have been derived from original sources, +often the algorithm's designer. Component licenses are located with +the component code. diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/__init__.pxd b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/__init__.pxd new file mode 100644 index 0000000000000000000000000000000000000000..1f9057296ba9475574a191cf231dc04ace3f910c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/__init__.pxd @@ -0,0 +1,14 @@ +cimport numpy as np +from libc.stdint cimport uint32_t, uint64_t + +cdef extern from "numpy/random/bitgen.h": + struct bitgen: + void *state + uint64_t (*next_uint64)(void *st) nogil + uint32_t (*next_uint32)(void *st) nogil + double (*next_double)(void *st) nogil + uint64_t (*next_raw)(void *st) nogil + + ctypedef bitgen bitgen_t + +from numpy.random.bit_generator cimport BitGenerator, SeedSequence diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..3e21d598a88ea44efeb8fe0b2252555e69eb99e3 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/__init__.py @@ -0,0 +1,213 @@ +""" +======================== +Random Number Generation +======================== + +Use ``default_rng()`` to create a `Generator` and call its methods. + +=============== ========================================================= +Generator +--------------- --------------------------------------------------------- +Generator Class implementing all of the random number distributions +default_rng Default constructor for ``Generator`` +=============== ========================================================= + +============================================= === +BitGenerator Streams that work with Generator +--------------------------------------------- --- +MT19937 +PCG64 +PCG64DXSM +Philox +SFC64 +============================================= === + +============================================= === +Getting entropy to initialize a BitGenerator +--------------------------------------------- --- +SeedSequence +============================================= === + + +Legacy +------ + +For backwards compatibility with previous versions of numpy before 1.17, the +various aliases to the global `RandomState` methods are left alone and do not +use the new `Generator` API. + +==================== ========================================================= +Utility functions +-------------------- --------------------------------------------------------- +random Uniformly distributed floats over ``[0, 1)`` +bytes Uniformly distributed random bytes. +permutation Randomly permute a sequence / generate a random sequence. +shuffle Randomly permute a sequence in place. +choice Random sample from 1-D array. +==================== ========================================================= + +==================== ========================================================= +Compatibility +functions - removed +in the new API +-------------------- --------------------------------------------------------- +rand Uniformly distributed values. +randn Normally distributed values. +ranf Uniformly distributed floating point numbers. +random_integers Uniformly distributed integers in a given range. + (deprecated, use ``integers(..., closed=True)`` instead) +random_sample Alias for `random_sample` +randint Uniformly distributed integers in a given range +seed Seed the legacy random number generator. +==================== ========================================================= + +==================== ========================================================= +Univariate +distributions +-------------------- --------------------------------------------------------- +beta Beta distribution over ``[0, 1]``. +binomial Binomial distribution. +chisquare :math:`\\chi^2` distribution. +exponential Exponential distribution. +f F (Fisher-Snedecor) distribution. +gamma Gamma distribution. +geometric Geometric distribution. +gumbel Gumbel distribution. +hypergeometric Hypergeometric distribution. +laplace Laplace distribution. +logistic Logistic distribution. +lognormal Log-normal distribution. +logseries Logarithmic series distribution. +negative_binomial Negative binomial distribution. +noncentral_chisquare Non-central chi-square distribution. +noncentral_f Non-central F distribution. +normal Normal / Gaussian distribution. +pareto Pareto distribution. +poisson Poisson distribution. +power Power distribution. +rayleigh Rayleigh distribution. +triangular Triangular distribution. +uniform Uniform distribution. +vonmises Von Mises circular distribution. +wald Wald (inverse Gaussian) distribution. +weibull Weibull distribution. +zipf Zipf's distribution over ranked data. +==================== ========================================================= + +==================== ========================================================== +Multivariate +distributions +-------------------- ---------------------------------------------------------- +dirichlet Multivariate generalization of Beta distribution. +multinomial Multivariate generalization of the binomial distribution. +multivariate_normal Multivariate generalization of the normal distribution. +==================== ========================================================== + +==================== ========================================================= +Standard +distributions +-------------------- --------------------------------------------------------- +standard_cauchy Standard Cauchy-Lorentz distribution. +standard_exponential Standard exponential distribution. +standard_gamma Standard Gamma distribution. +standard_normal Standard normal distribution. +standard_t Standard Student's t-distribution. +==================== ========================================================= + +==================== ========================================================= +Internal functions +-------------------- --------------------------------------------------------- +get_state Get tuple representing internal state of generator. +set_state Set state of generator. +==================== ========================================================= + + +""" +__all__ = [ + 'beta', + 'binomial', + 'bytes', + 'chisquare', + 'choice', + 'dirichlet', + 'exponential', + 'f', + 'gamma', + 'geometric', + 'get_state', + 'gumbel', + 'hypergeometric', + 'laplace', + 'logistic', + 'lognormal', + 'logseries', + 'multinomial', + 'multivariate_normal', + 'negative_binomial', + 'noncentral_chisquare', + 'noncentral_f', + 'normal', + 'pareto', + 'permutation', + 'poisson', + 'power', + 'rand', + 'randint', + 'randn', + 'random', + 'random_integers', + 'random_sample', + 'ranf', + 'rayleigh', + 'sample', + 'seed', + 'set_state', + 'shuffle', + 'standard_cauchy', + 'standard_exponential', + 'standard_gamma', + 'standard_normal', + 'standard_t', + 'triangular', + 'uniform', + 'vonmises', + 'wald', + 'weibull', + 'zipf', +] + +# add these for module-freeze analysis (like PyInstaller) +from . import _bounded_integers, _common, _pickle +from ._generator import Generator, default_rng +from ._mt19937 import MT19937 +from ._pcg64 import PCG64, PCG64DXSM +from ._philox import Philox +from ._sfc64 import SFC64 +from .bit_generator import BitGenerator, SeedSequence +from .mtrand import * + +__all__ += ['Generator', 'RandomState', 'SeedSequence', 'MT19937', + 'Philox', 'PCG64', 'PCG64DXSM', 'SFC64', 'default_rng', + 'BitGenerator'] + + +def __RandomState_ctor(): + """Return a RandomState instance. + + This function exists solely to assist (un)pickling. + + Note that the state of the RandomState returned here is irrelevant, as this + function's entire purpose is to return a newly allocated RandomState whose + state pickle can set. Consequently the RandomState returned by this function + is a freshly allocated copy with a seed=0. + + See https://github.com/numpy/numpy/issues/4763 for a detailed discussion + + """ + return RandomState(seed=0) + + +from numpy._pytesttester import PytestTester + +test = PytestTester(__name__) +del PytestTester diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/__init__.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..e9b9fb50ab8ce1435adfa0a7dbc6d04b0788a11a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/__init__.pyi @@ -0,0 +1,124 @@ +from ._generator import Generator, default_rng +from ._mt19937 import MT19937 +from ._pcg64 import PCG64, PCG64DXSM +from ._philox import Philox +from ._sfc64 import SFC64 +from .bit_generator import BitGenerator, SeedSequence +from .mtrand import ( + RandomState, + beta, + binomial, + bytes, + chisquare, + choice, + dirichlet, + exponential, + f, + gamma, + geometric, + get_bit_generator, # noqa: F401 + get_state, + gumbel, + hypergeometric, + laplace, + logistic, + lognormal, + logseries, + multinomial, + multivariate_normal, + negative_binomial, + noncentral_chisquare, + noncentral_f, + normal, + pareto, + permutation, + poisson, + power, + rand, + randint, + randn, + random, + random_integers, + random_sample, + ranf, + rayleigh, + sample, + seed, + set_bit_generator, # noqa: F401 + set_state, + shuffle, + standard_cauchy, + standard_exponential, + standard_gamma, + standard_normal, + standard_t, + triangular, + uniform, + vonmises, + wald, + weibull, + zipf, +) + +__all__ = [ + "beta", + "binomial", + "bytes", + "chisquare", + "choice", + "dirichlet", + "exponential", + "f", + "gamma", + "geometric", + "get_state", + "gumbel", + "hypergeometric", + "laplace", + "logistic", + "lognormal", + "logseries", + "multinomial", + "multivariate_normal", + "negative_binomial", + "noncentral_chisquare", + "noncentral_f", + "normal", + "pareto", + "permutation", + "poisson", + "power", + "rand", + "randint", + "randn", + "random", + "random_integers", + "random_sample", + "ranf", + "rayleigh", + "sample", + "seed", + "set_state", + "shuffle", + "standard_cauchy", + "standard_exponential", + "standard_gamma", + "standard_normal", + "standard_t", + "triangular", + "uniform", + "vonmises", + "wald", + "weibull", + "zipf", + "Generator", + "RandomState", + "SeedSequence", + "MT19937", + "Philox", + "PCG64", + "PCG64DXSM", + "SFC64", + "default_rng", + "BitGenerator", +] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/__pycache__/__init__.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..ade03cdd390e5b3de92020fb026466bf609e9621 Binary files 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+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_bounded_integers.cpython-311-x86_64-linux-gnu.so @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:a3ed3619fb0bb7a8a68e605d8219aee971878710a9c7588f043e725f1d05254e +size 342536 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_bounded_integers.pxd b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_bounded_integers.pxd new file mode 100644 index 0000000000000000000000000000000000000000..607014cbf5b42737669f699471082ab5642910d1 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_bounded_integers.pxd @@ -0,0 +1,29 @@ +from libc.stdint cimport (uint8_t, uint16_t, uint32_t, uint64_t, + int8_t, int16_t, int32_t, int64_t, intptr_t) +import numpy as np +cimport numpy as np +ctypedef np.npy_bool bool_t + +from numpy.random cimport bitgen_t + +cdef inline uint64_t _gen_mask(uint64_t max_val) noexcept nogil: + """Mask generator for use in bounded random numbers""" + # Smallest bit mask >= max + cdef uint64_t mask = max_val + mask |= mask >> 1 + mask |= mask >> 2 + mask |= mask >> 4 + mask |= mask >> 8 + mask |= mask >> 16 + mask |= mask >> 32 + return mask + +cdef object _rand_uint64(object low, object high, object size, bint use_masked, bint closed, bitgen_t *state, object lock) +cdef object _rand_uint32(object low, object high, object size, bint use_masked, bint closed, bitgen_t *state, object lock) +cdef object _rand_uint16(object low, object high, object size, bint use_masked, bint closed, bitgen_t *state, object lock) +cdef object _rand_uint8(object low, object high, object size, bint use_masked, bint closed, bitgen_t *state, object lock) +cdef object _rand_bool(object low, object high, object size, bint use_masked, bint closed, bitgen_t *state, object lock) +cdef object _rand_int64(object low, object high, object size, bint use_masked, bint closed, bitgen_t *state, object lock) +cdef object _rand_int32(object low, object high, object size, bint use_masked, bint closed, bitgen_t *state, object lock) +cdef object _rand_int16(object low, object high, object size, bint use_masked, bint closed, bitgen_t *state, object lock) +cdef object _rand_int8(object low, object high, object size, bint use_masked, bint closed, bitgen_t *state, object lock) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_bounded_integers.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_bounded_integers.pyi new file mode 100644 index 0000000000000000000000000000000000000000..c9c2ef67bd9d44a21f9d3673ba631c0840740ced --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_bounded_integers.pyi @@ -0,0 +1 @@ +__all__: list[str] = [] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_common.cpython-311-x86_64-linux-gnu.so b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_common.cpython-311-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..825b94639cf6eb42aa299cbd27ab5183f55abadf --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_common.cpython-311-x86_64-linux-gnu.so @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:71d7971ef760a9e45c5c804b98bc3155d42d38837d4f287ab3bb41865d9954b1 +size 266808 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_common.pxd b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_common.pxd new file mode 100644 index 0000000000000000000000000000000000000000..7b6ae56bfe12930007e2fdd51e9175600e42d7aa --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_common.pxd @@ -0,0 +1,110 @@ +#cython: language_level=3 + +from libc.stdint cimport uint32_t, uint64_t, int32_t, int64_t + +import numpy as np +cimport numpy as np + +from numpy.random cimport bitgen_t + +cdef double POISSON_LAM_MAX +cdef double LEGACY_POISSON_LAM_MAX +cdef uint64_t MAXSIZE + +cdef enum ConstraintType: + CONS_NONE + CONS_NON_NEGATIVE + CONS_POSITIVE + CONS_POSITIVE_NOT_NAN + CONS_BOUNDED_0_1 + CONS_BOUNDED_GT_0_1 + CONS_BOUNDED_LT_0_1 + CONS_GT_1 + CONS_GTE_1 + CONS_POISSON + LEGACY_CONS_POISSON + LEGACY_CONS_NON_NEGATIVE_INBOUNDS_LONG + +ctypedef ConstraintType constraint_type +ctypedef fused double_or_int64: + double + int64_t + +cdef object benchmark(bitgen_t *bitgen, object lock, Py_ssize_t cnt, object method) +cdef object random_raw(bitgen_t *bitgen, object lock, object size, object output) +cdef object prepare_cffi(bitgen_t *bitgen) +cdef object prepare_ctypes(bitgen_t *bitgen) +cdef int check_constraint(double_or_int64 val, object name, constraint_type cons) except -1 +cdef int check_array_constraint(np.ndarray val, object name, constraint_type cons) except -1 + +cdef extern from "include/aligned_malloc.h": + cdef void *PyArray_realloc_aligned(void *p, size_t n) + cdef void *PyArray_malloc_aligned(size_t n) + cdef void *PyArray_calloc_aligned(size_t n, size_t s) + cdef void PyArray_free_aligned(void *p) + +ctypedef void (*random_double_fill)(bitgen_t *state, np.npy_intp count, double* out) noexcept nogil +ctypedef double (*random_double_0)(void *state) noexcept nogil +ctypedef double (*random_double_1)(void *state, double a) noexcept nogil +ctypedef double (*random_double_2)(void *state, double a, double b) noexcept nogil +ctypedef double (*random_double_3)(void *state, double a, double b, double c) noexcept nogil + +ctypedef void (*random_float_fill)(bitgen_t *state, np.npy_intp count, float* out) noexcept nogil +ctypedef float (*random_float_0)(bitgen_t *state) noexcept nogil +ctypedef float (*random_float_1)(bitgen_t *state, float a) noexcept nogil + +ctypedef int64_t (*random_uint_0)(void *state) noexcept nogil +ctypedef int64_t (*random_uint_d)(void *state, double a) noexcept nogil +ctypedef int64_t (*random_uint_dd)(void *state, double a, double b) noexcept nogil +ctypedef int64_t (*random_uint_di)(void *state, double a, uint64_t b) noexcept nogil +ctypedef int64_t (*random_uint_i)(void *state, int64_t a) noexcept nogil +ctypedef int64_t (*random_uint_iii)(void *state, int64_t a, int64_t b, int64_t c) noexcept nogil + +ctypedef uint32_t (*random_uint_0_32)(bitgen_t *state) noexcept nogil +ctypedef uint32_t (*random_uint_1_i_32)(bitgen_t *state, uint32_t a) noexcept nogil + +ctypedef int32_t (*random_int_2_i_32)(bitgen_t *state, int32_t a, int32_t b) noexcept nogil +ctypedef int64_t (*random_int_2_i)(bitgen_t *state, int64_t a, int64_t b) noexcept nogil + +cdef double kahan_sum(double *darr, np.npy_intp n) noexcept + +cdef inline double uint64_to_double(uint64_t rnd) noexcept nogil: + return (rnd >> 11) * (1.0 / 9007199254740992.0) + +cdef object double_fill(void *func, bitgen_t *state, object size, object lock, object out) + +cdef object float_fill(void *func, bitgen_t *state, object size, object lock, object out) + +cdef object float_fill_from_double(void *func, bitgen_t *state, object size, object lock, object out) + +cdef object wrap_int(object val, object bits) + +cdef np.ndarray int_to_array(object value, object name, object bits, object uint_size) + +cdef validate_output_shape(iter_shape, np.ndarray output) + +cdef object cont(void *func, void *state, object size, object lock, int narg, + object a, object a_name, constraint_type a_constraint, + object b, object b_name, constraint_type b_constraint, + object c, object c_name, constraint_type c_constraint, + object out) + +cdef object disc(void *func, void *state, object size, object lock, + int narg_double, int narg_int64, + object a, object a_name, constraint_type a_constraint, + object b, object b_name, constraint_type b_constraint, + object c, object c_name, constraint_type c_constraint) + +cdef object cont_f(void *func, bitgen_t *state, object size, object lock, + object a, object a_name, constraint_type a_constraint, + object out) + +cdef object cont_broadcast_3(void *func, void *state, object size, object lock, + np.ndarray a_arr, object a_name, constraint_type a_constraint, + np.ndarray b_arr, object b_name, constraint_type b_constraint, + np.ndarray c_arr, object c_name, constraint_type c_constraint) + +cdef object discrete_broadcast_iii(void *func, void *state, object size, object lock, + np.ndarray a_arr, object a_name, constraint_type a_constraint, + np.ndarray b_arr, object b_name, constraint_type b_constraint, + np.ndarray c_arr, object c_name, constraint_type c_constraint) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_common.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_common.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b667fd1c82eb532097e3c4422d93d2b14975d590 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_common.pyi @@ -0,0 +1,16 @@ +from collections.abc import Callable +from typing import Any, NamedTuple, TypeAlias + +import numpy as np + +__all__: list[str] = ["interface"] + +_CDataVoidPointer: TypeAlias = Any + +class interface(NamedTuple): + state_address: int + state: _CDataVoidPointer + next_uint64: Callable[..., np.uint64] + next_uint32: Callable[..., np.uint32] + next_double: Callable[..., np.float64] + bit_generator: _CDataVoidPointer diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cffi/__pycache__/extending.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cffi/__pycache__/extending.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..c46082b88af540d34e678791fb25b6728b9ed06d Binary files /dev/null and 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b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cffi/extending.py @@ -0,0 +1,44 @@ +""" +Use cffi to access any of the underlying C functions from distributions.h +""" +import os + +import cffi + +import numpy as np + +from .parse import parse_distributions_h + +ffi = cffi.FFI() + +inc_dir = os.path.join(np.get_include(), 'numpy') + +# Basic numpy types +ffi.cdef(''' + typedef intptr_t npy_intp; + typedef unsigned char npy_bool; + +''') + +parse_distributions_h(ffi, inc_dir) + +lib = ffi.dlopen(np.random._generator.__file__) + +# Compare the distributions.h random_standard_normal_fill to +# Generator.standard_random +bit_gen = np.random.PCG64() +rng = np.random.Generator(bit_gen) +state = bit_gen.state + +interface = rng.bit_generator.cffi +n = 100 +vals_cffi = ffi.new('double[%d]' % n) +lib.random_standard_normal_fill(interface.bit_generator, n, vals_cffi) + +# reset the state +bit_gen.state = state + +vals = rng.standard_normal(n) + +for i in range(n): + assert vals[i] == vals_cffi[i] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cffi/parse.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cffi/parse.py new file mode 100644 index 0000000000000000000000000000000000000000..0f80adb352500ff08c0d650334600bafcd1afaaa --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cffi/parse.py @@ -0,0 +1,53 @@ +import os + + +def parse_distributions_h(ffi, inc_dir): + """ + Parse distributions.h located in inc_dir for CFFI, filling in the ffi.cdef + + Read the function declarations without the "#define ..." macros that will + be filled in when loading the library. + """ + + with open(os.path.join(inc_dir, 'random', 'bitgen.h')) as fid: + s = [] + for line in fid: + # massage the include file + if line.strip().startswith('#'): + continue + s.append(line) + ffi.cdef('\n'.join(s)) + + with open(os.path.join(inc_dir, 'random', 'distributions.h')) as fid: + s = [] + in_skip = 0 + ignoring = False + for line in fid: + # check for and remove extern "C" guards + if ignoring: + if line.strip().startswith('#endif'): + ignoring = False + continue + if line.strip().startswith('#ifdef __cplusplus'): + ignoring = True + + # massage the include file + if line.strip().startswith('#'): + continue + + # skip any inlined function definition + # which starts with 'static inline xxx(...) {' + # and ends with a closing '}' + if line.strip().startswith('static inline'): + in_skip += line.count('{') + continue + elif in_skip > 0: + in_skip += line.count('{') + in_skip -= line.count('}') + continue + + # replace defines with their value or remove them + line = line.replace('DECLDIR', '') + line = line.replace('RAND_INT_TYPE', 'int64_t') + s.append(line) + ffi.cdef('\n'.join(s)) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cython/extending.pyx b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cython/extending.pyx new file mode 100644 index 0000000000000000000000000000000000000000..6a0f45e1be9e6f32ac9ac39952cd01597b93a2e9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cython/extending.pyx @@ -0,0 +1,77 @@ +#cython: language_level=3 + +from libc.stdint cimport uint32_t +from cpython.pycapsule cimport PyCapsule_IsValid, PyCapsule_GetPointer + +import numpy as np +cimport numpy as np +cimport cython + +from numpy.random cimport bitgen_t +from numpy.random import PCG64 + +np.import_array() + + +@cython.boundscheck(False) +@cython.wraparound(False) +def uniform_mean(Py_ssize_t n): + cdef Py_ssize_t i + cdef bitgen_t *rng + cdef const char *capsule_name = "BitGenerator" + cdef double[::1] random_values + cdef np.ndarray randoms + + x = PCG64() + capsule = x.capsule + if not PyCapsule_IsValid(capsule, capsule_name): + raise ValueError("Invalid pointer to anon_func_state") + rng = PyCapsule_GetPointer(capsule, capsule_name) + random_values = np.empty(n) + # Best practice is to acquire the lock whenever generating random values. + # This prevents other threads from modifying the state. Acquiring the lock + # is only necessary if the GIL is also released, as in this example. + with x.lock, nogil: + for i in range(n): + random_values[i] = rng.next_double(rng.state) + randoms = np.asarray(random_values) + return randoms.mean() + + +# This function is declared nogil so it can be used without the GIL below +cdef uint32_t bounded_uint(uint32_t lb, uint32_t ub, bitgen_t *rng) nogil: + cdef uint32_t mask, delta, val + mask = delta = ub - lb + mask |= mask >> 1 + mask |= mask >> 2 + mask |= mask >> 4 + mask |= mask >> 8 + mask |= mask >> 16 + + val = rng.next_uint32(rng.state) & mask + while val > delta: + val = rng.next_uint32(rng.state) & mask + + return lb + val + + +@cython.boundscheck(False) +@cython.wraparound(False) +def bounded_uints(uint32_t lb, uint32_t ub, Py_ssize_t n): + cdef Py_ssize_t i + cdef bitgen_t *rng + cdef uint32_t[::1] out + cdef const char *capsule_name = "BitGenerator" + + x = PCG64() + out = np.empty(n, dtype=np.uint32) + capsule = x.capsule + + if not PyCapsule_IsValid(capsule, capsule_name): + raise ValueError("Invalid pointer to anon_func_state") + rng = PyCapsule_GetPointer(capsule, capsule_name) + + with x.lock, nogil: + for i in range(n): + out[i] = bounded_uint(lb, ub, rng) + return np.asarray(out) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cython/extending_distributions.pyx b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cython/extending_distributions.pyx new file mode 100644 index 0000000000000000000000000000000000000000..8de722686304bd46f997aa35c2f7d15582626e01 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cython/extending_distributions.pyx @@ -0,0 +1,117 @@ +#cython: language_level=3 +""" +This file shows how the to use a BitGenerator to create a distribution. +""" +import numpy as np +cimport numpy as np +cimport cython +from cpython.pycapsule cimport PyCapsule_IsValid, PyCapsule_GetPointer +from libc.stdint cimport uint16_t, uint64_t +from numpy.random cimport bitgen_t +from numpy.random import PCG64 +from numpy.random.c_distributions cimport ( + random_standard_uniform_fill, random_standard_uniform_fill_f) + +np.import_array() + + +@cython.boundscheck(False) +@cython.wraparound(False) +def uniforms(Py_ssize_t n): + """ + Create an array of `n` uniformly distributed doubles. + A 'real' distribution would want to process the values into + some non-uniform distribution + """ + cdef Py_ssize_t i + cdef bitgen_t *rng + cdef const char *capsule_name = "BitGenerator" + cdef double[::1] random_values + + x = PCG64() + capsule = x.capsule + # Optional check that the capsule if from a BitGenerator + if not PyCapsule_IsValid(capsule, capsule_name): + raise ValueError("Invalid pointer to anon_func_state") + # Cast the pointer + rng = PyCapsule_GetPointer(capsule, capsule_name) + random_values = np.empty(n, dtype='float64') + with x.lock, nogil: + for i in range(n): + # Call the function + random_values[i] = rng.next_double(rng.state) + randoms = np.asarray(random_values) + + return randoms + +# cython example 2 +@cython.boundscheck(False) +@cython.wraparound(False) +def uint10_uniforms(Py_ssize_t n): + """Uniform 10 bit integers stored as 16-bit unsigned integers""" + cdef Py_ssize_t i + cdef bitgen_t *rng + cdef const char *capsule_name = "BitGenerator" + cdef uint16_t[::1] random_values + cdef int bits_remaining + cdef int width = 10 + cdef uint64_t buff, mask = 0x3FF + + x = PCG64() + capsule = x.capsule + if not PyCapsule_IsValid(capsule, capsule_name): + raise ValueError("Invalid pointer to anon_func_state") + rng = PyCapsule_GetPointer(capsule, capsule_name) + random_values = np.empty(n, dtype='uint16') + # Best practice is to release GIL and acquire the lock + bits_remaining = 0 + with x.lock, nogil: + for i in range(n): + if bits_remaining < width: + buff = rng.next_uint64(rng.state) + random_values[i] = buff & mask + buff >>= width + + randoms = np.asarray(random_values) + return randoms + +# cython example 3 +def uniforms_ex(bit_generator, Py_ssize_t n, dtype=np.float64): + """ + Create an array of `n` uniformly distributed doubles via a "fill" function. + + A 'real' distribution would want to process the values into + some non-uniform distribution + + Parameters + ---------- + bit_generator: BitGenerator instance + n: int + Output vector length + dtype: {str, dtype}, optional + Desired dtype, either 'd' (or 'float64') or 'f' (or 'float32'). The + default dtype value is 'd' + """ + cdef bitgen_t *rng + cdef const char *capsule_name = "BitGenerator" + cdef np.ndarray randoms + + capsule = bit_generator.capsule + # Optional check that the capsule if from a BitGenerator + if not PyCapsule_IsValid(capsule, capsule_name): + raise ValueError("Invalid pointer to anon_func_state") + # Cast the pointer + rng = PyCapsule_GetPointer(capsule, capsule_name) + + _dtype = np.dtype(dtype) + randoms = np.empty(n, dtype=_dtype) + if _dtype == np.float32: + with bit_generator.lock: + random_standard_uniform_fill_f(rng, n, np.PyArray_DATA(randoms)) + elif _dtype == np.float64: + with bit_generator.lock: + random_standard_uniform_fill(rng, n, np.PyArray_DATA(randoms)) + else: + raise TypeError('Unsupported dtype %r for random' % _dtype) + return randoms + diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cython/meson.build b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cython/meson.build new file mode 100644 index 0000000000000000000000000000000000000000..7aa367d13787c4f7ad5c2910bb044670b07eb012 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/cython/meson.build @@ -0,0 +1,53 @@ +project('random-build-examples', 'c', 'cpp', 'cython') + +py_mod = import('python') +py3 = py_mod.find_installation(pure: false) + +cc = meson.get_compiler('c') +cy = meson.get_compiler('cython') + +# Keep synced with pyproject.toml +if not cy.version().version_compare('>=3.0.6') + error('tests requires Cython >= 3.0.6') +endif + +base_cython_args = [] +if cy.version().version_compare('>=3.1.0') + base_cython_args += ['-Xfreethreading_compatible=True'] +endif + +_numpy_abs = run_command(py3, ['-c', + 'import os; os.chdir(".."); import numpy; print(os.path.abspath(numpy.get_include() + "../../.."))'], + check: true).stdout().strip() + +npymath_path = _numpy_abs / '_core' / 'lib' +npy_include_path = _numpy_abs / '_core' / 'include' +npyrandom_path = _numpy_abs / 'random' / 'lib' +npymath_lib = cc.find_library('npymath', dirs: npymath_path) +npyrandom_lib = cc.find_library('npyrandom', dirs: npyrandom_path) + +py3.extension_module( + 'extending_distributions', + 'extending_distributions.pyx', + install: false, + include_directories: [npy_include_path], + dependencies: [npyrandom_lib, npymath_lib], + cython_args: base_cython_args, +) +py3.extension_module( + 'extending', + 'extending.pyx', + install: false, + include_directories: [npy_include_path], + dependencies: [npyrandom_lib, npymath_lib], + cython_args: base_cython_args, +) +py3.extension_module( + 'extending_cpp', + 'extending_distributions.pyx', + install: false, + override_options : ['cython_language=cpp'], + cython_args: base_cython_args + ['--module-name', 'extending_cpp'], + include_directories: [npy_include_path], + dependencies: [npyrandom_lib, npymath_lib], +) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/__pycache__/extending.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/__pycache__/extending.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..779143bb4f1d4e4d51f126732d1805911459b109 Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/__pycache__/extending.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/__pycache__/extending_distributions.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/__pycache__/extending_distributions.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..8e709dab2939600acc717682d240b6f54376d363 Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/__pycache__/extending_distributions.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/extending.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/extending.py new file mode 100644 index 0000000000000000000000000000000000000000..c1d0f4fbd3e38247a129ef879f46d22950b412e6 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/extending.py @@ -0,0 +1,86 @@ +from timeit import timeit + +import numba as nb + +import numpy as np +from numpy.random import PCG64 + +bit_gen = PCG64() +next_d = bit_gen.cffi.next_double +state_addr = bit_gen.cffi.state_address + +def normals(n, state): + out = np.empty(n) + for i in range((n + 1) // 2): + x1 = 2.0 * next_d(state) - 1.0 + x2 = 2.0 * next_d(state) - 1.0 + r2 = x1 * x1 + x2 * x2 + while r2 >= 1.0 or r2 == 0.0: + x1 = 2.0 * next_d(state) - 1.0 + x2 = 2.0 * next_d(state) - 1.0 + r2 = x1 * x1 + x2 * x2 + f = np.sqrt(-2.0 * np.log(r2) / r2) + out[2 * i] = f * x1 + if 2 * i + 1 < n: + out[2 * i + 1] = f * x2 + return out + + +# Compile using Numba +normalsj = nb.jit(normals, nopython=True) +# Must use state address not state with numba +n = 10000 + +def numbacall(): + return normalsj(n, state_addr) + + +rg = np.random.Generator(PCG64()) + +def numpycall(): + return rg.normal(size=n) + + +# Check that the functions work +r1 = numbacall() +r2 = numpycall() +assert r1.shape == (n,) +assert r1.shape == r2.shape + +t1 = timeit(numbacall, number=1000) +print(f'{t1:.2f} secs for {n} PCG64 (Numba/PCG64) gaussian randoms') +t2 = timeit(numpycall, number=1000) +print(f'{t2:.2f} secs for {n} PCG64 (NumPy/PCG64) gaussian randoms') + +# example 2 + +next_u32 = bit_gen.ctypes.next_uint32 +ctypes_state = bit_gen.ctypes.state + +@nb.jit(nopython=True) +def bounded_uint(lb, ub, state): + mask = delta = ub - lb + mask |= mask >> 1 + mask |= mask >> 2 + mask |= mask >> 4 + mask |= mask >> 8 + mask |= mask >> 16 + + val = next_u32(state) & mask + while val > delta: + val = next_u32(state) & mask + + return lb + val + + +print(bounded_uint(323, 2394691, ctypes_state.value)) + + +@nb.jit(nopython=True) +def bounded_uints(lb, ub, n, state): + out = np.empty(n, dtype=np.uint32) + for i in range(n): + out[i] = bounded_uint(lb, ub, state) + + +bounded_uints(323, 2394691, 10000000, ctypes_state.value) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/extending_distributions.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/extending_distributions.py new file mode 100644 index 0000000000000000000000000000000000000000..d0462e73ee0bec4df2727af8a56a2f2edf86486e --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_examples/numba/extending_distributions.py @@ -0,0 +1,67 @@ +r""" +Building the required library in this example requires a source distribution +of NumPy or clone of the NumPy git repository since distributions.c is not +included in binary distributions. + +On *nix, execute in numpy/random/src/distributions + +export ${PYTHON_VERSION}=3.8 # Python version +export PYTHON_INCLUDE=#path to Python's include folder, usually \ + ${PYTHON_HOME}/include/python${PYTHON_VERSION}m +export NUMPY_INCLUDE=#path to numpy's include folder, usually \ + ${PYTHON_HOME}/lib/python${PYTHON_VERSION}/site-packages/numpy/_core/include +gcc -shared -o libdistributions.so -fPIC distributions.c \ + -I${NUMPY_INCLUDE} -I${PYTHON_INCLUDE} +mv libdistributions.so ../../_examples/numba/ + +On Windows + +rem PYTHON_HOME and PYTHON_VERSION are setup dependent, this is an example +set PYTHON_HOME=c:\Anaconda +set PYTHON_VERSION=38 +cl.exe /LD .\distributions.c -DDLL_EXPORT \ + -I%PYTHON_HOME%\lib\site-packages\numpy\_core\include \ + -I%PYTHON_HOME%\include %PYTHON_HOME%\libs\python%PYTHON_VERSION%.lib +move distributions.dll ../../_examples/numba/ +""" +import os + +import numba as nb +from cffi import FFI + +import numpy as np +from numpy.random import PCG64 + +ffi = FFI() +if os.path.exists('./distributions.dll'): + lib = ffi.dlopen('./distributions.dll') +elif os.path.exists('./libdistributions.so'): + lib = ffi.dlopen('./libdistributions.so') +else: + raise RuntimeError('Required DLL/so file was not found.') + +ffi.cdef(""" +double random_standard_normal(void *bitgen_state); +""") +x = PCG64() +xffi = x.cffi +bit_generator = xffi.bit_generator + +random_standard_normal = lib.random_standard_normal + + +def normals(n, bit_generator): + out = np.empty(n) + for i in range(n): + out[i] = random_standard_normal(bit_generator) + return out + + +normalsj = nb.jit(normals, nopython=True) + +# Numba requires a memory address for void * +# Can also get address from x.ctypes.bit_generator.value +bit_generator_address = int(ffi.cast('uintptr_t', bit_generator)) + +norm = normalsj(1000, bit_generator_address) +print(norm[:12]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_generator.cpython-311-x86_64-linux-gnu.so b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_generator.cpython-311-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..0eb1830a83bd4584f5101d84f67d0d9b7f3d135a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_generator.cpython-311-x86_64-linux-gnu.so @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:336eca5889ed937b66fddf1790095b35ec4c61e3a35375f0d29a94bb1299a3ef +size 835416 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_generator.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_generator.pyi new file mode 100644 index 0000000000000000000000000000000000000000..1f7c342394e13ac12131621fbc11fece55a49231 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_generator.pyi @@ -0,0 +1,862 @@ +from collections.abc import Callable, MutableSequence +from typing import Any, Literal, TypeAlias, TypeVar, overload + +import numpy as np +from numpy import dtype, float32, float64, int64 +from numpy._typing import ( + ArrayLike, + DTypeLike, + NDArray, + _ArrayLikeFloat_co, + _ArrayLikeInt_co, + _BoolCodes, + _DoubleCodes, + _DTypeLike, + _DTypeLikeBool, + _Float32Codes, + _Float64Codes, + _FloatLike_co, + _Int8Codes, + _Int16Codes, + _Int32Codes, + _Int64Codes, + _IntPCodes, + _ShapeLike, + _SingleCodes, + _SupportsDType, + _UInt8Codes, + _UInt16Codes, + _UInt32Codes, + _UInt64Codes, + _UIntPCodes, +) +from numpy.random import BitGenerator, RandomState, SeedSequence + +_IntegerT = TypeVar("_IntegerT", bound=np.integer) + +_DTypeLikeFloat32: TypeAlias = ( + dtype[float32] + | _SupportsDType[dtype[float32]] + | type[float32] + | _Float32Codes + | _SingleCodes +) + +_DTypeLikeFloat64: TypeAlias = ( + dtype[float64] + | _SupportsDType[dtype[float64]] + | type[float] + | type[float64] + | _Float64Codes + | _DoubleCodes +) + +class Generator: + def __init__(self, bit_generator: BitGenerator) -> None: ... + def __repr__(self) -> str: ... + def __str__(self) -> str: ... + def __getstate__(self) -> None: ... + def __setstate__(self, state: dict[str, Any] | None) -> None: ... + def __reduce__(self) -> tuple[ + Callable[[BitGenerator], Generator], + tuple[BitGenerator], + None]: ... + @property + def bit_generator(self) -> BitGenerator: ... + def spawn(self, n_children: int) -> list[Generator]: ... + def bytes(self, length: int) -> bytes: ... + @overload + def standard_normal( # type: ignore[misc] + self, + size: None = None, + dtype: _DTypeLikeFloat32 | _DTypeLikeFloat64 = ..., + out: None = None, + ) -> float: ... + @overload + def standard_normal( # type: ignore[misc] + self, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def standard_normal( # type: ignore[misc] + self, + *, + out: NDArray[float64] | None = None, + ) -> NDArray[float64]: ... + @overload + def standard_normal( # type: ignore[misc] + self, + size: _ShapeLike | None = None, + dtype: _DTypeLikeFloat32 = ..., + out: NDArray[float32] | None = None, + ) -> NDArray[float32]: ... + @overload + def standard_normal( # type: ignore[misc] + self, + size: _ShapeLike | None = None, + dtype: _DTypeLikeFloat64 = ..., + out: NDArray[float64] | None = None, + ) -> NDArray[float64]: ... + @overload + def permutation(self, x: int, axis: int = 0) -> NDArray[int64]: ... + @overload + def permutation(self, x: ArrayLike, axis: int = 0) -> NDArray[Any]: ... + @overload + def standard_exponential( # type: ignore[misc] + self, + size: None = None, + dtype: _DTypeLikeFloat32 | _DTypeLikeFloat64 = ..., + method: Literal["zig", "inv"] = "zig", + out: None = None, + ) -> float: ... + @overload + def standard_exponential( + self, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def standard_exponential( + self, + *, + out: NDArray[float64] | None = None, + ) -> NDArray[float64]: ... + @overload + def standard_exponential( + self, + size: _ShapeLike | None = None, + *, + method: Literal["zig", "inv"] = "zig", + out: NDArray[float64] | None = None, + ) -> NDArray[float64]: ... + @overload + def standard_exponential( + self, + size: _ShapeLike | None = None, + dtype: _DTypeLikeFloat32 = ..., + method: Literal["zig", "inv"] = "zig", + out: NDArray[float32] | None = None, + ) -> NDArray[float32]: ... + @overload + def standard_exponential( + self, + size: _ShapeLike | None = None, + dtype: _DTypeLikeFloat64 = ..., + method: Literal["zig", "inv"] = "zig", + out: NDArray[float64] | None = None, + ) -> NDArray[float64]: ... + @overload + def random( # type: ignore[misc] + self, + size: None = None, + dtype: _DTypeLikeFloat32 | _DTypeLikeFloat64 = ..., + out: None = None, + ) -> float: ... + @overload + def random( + self, + *, + out: NDArray[float64] | None = None, + ) -> NDArray[float64]: ... + @overload + def random( + self, + size: _ShapeLike | None = None, + *, + out: NDArray[float64] | None = None, + ) -> NDArray[float64]: ... + @overload + def random( + self, + size: _ShapeLike | None = None, + dtype: _DTypeLikeFloat32 = ..., + out: NDArray[float32] | None = None, + ) -> NDArray[float32]: ... + @overload + def random( + self, + size: _ShapeLike | None = None, + dtype: _DTypeLikeFloat64 = ..., + out: NDArray[float64] | None = None, + ) -> NDArray[float64]: ... + @overload + def beta( + self, + a: _FloatLike_co, + b: _FloatLike_co, + size: None = None, + ) -> float: ... # type: ignore[misc] + @overload + def beta( + self, + a: _ArrayLikeFloat_co, + b: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def exponential(self, scale: _FloatLike_co = 1.0, size: None = None) -> float: ... # type: ignore[misc] + @overload + def exponential(self, scale: _ArrayLikeFloat_co = 1.0, size: _ShapeLike | None = None) -> NDArray[float64]: ... + + # + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + dtype: _DTypeLike[np.int64] | _Int64Codes = ..., + endpoint: bool = False, + ) -> np.int64: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: type[bool], + endpoint: bool = False, + ) -> bool: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: type[int], + endpoint: bool = False, + ) -> int: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: _DTypeLike[np.bool] | _BoolCodes, + endpoint: bool = False, + ) -> np.bool: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: _DTypeLike[_IntegerT], + endpoint: bool = False, + ) -> _IntegerT: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: _DTypeLike[np.int64] | _Int64Codes = ..., + endpoint: bool = False, + ) -> NDArray[np.int64]: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + *, + dtype: _DTypeLikeBool, + endpoint: bool = False, + ) -> NDArray[np.bool]: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + *, + dtype: _DTypeLike[_IntegerT], + endpoint: bool = False, + ) -> NDArray[_IntegerT]: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: _Int8Codes, + endpoint: bool = False, + ) -> np.int8: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + *, + dtype: _Int8Codes, + endpoint: bool = False, + ) -> NDArray[np.int8]: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: _UInt8Codes, + endpoint: bool = False, + ) -> np.uint8: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + *, + dtype: _UInt8Codes, + endpoint: bool = False, + ) -> NDArray[np.uint8]: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: _Int16Codes, + endpoint: bool = False, + ) -> np.int16: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + *, + dtype: _Int16Codes, + endpoint: bool = False, + ) -> NDArray[np.int16]: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: _UInt16Codes, + endpoint: bool = False, + ) -> np.uint16: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + *, + dtype: _UInt16Codes, + endpoint: bool = False, + ) -> NDArray[np.uint16]: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: _Int32Codes, + endpoint: bool = False, + ) -> np.int32: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + *, + dtype: _Int32Codes, + endpoint: bool = False, + ) -> NDArray[np.int32]: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: _UInt32Codes, + endpoint: bool = False, + ) -> np.uint32: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + *, + dtype: _UInt32Codes, + endpoint: bool = False, + ) -> NDArray[np.uint32]: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: _UInt64Codes, + endpoint: bool = False, + ) -> np.uint64: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + *, + dtype: _UInt64Codes, + endpoint: bool = False, + ) -> NDArray[np.uint64]: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: _IntPCodes, + endpoint: bool = False, + ) -> np.intp: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + *, + dtype: _IntPCodes, + endpoint: bool = False, + ) -> NDArray[np.intp]: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + *, + dtype: _UIntPCodes, + endpoint: bool = False, + ) -> np.uintp: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + *, + dtype: _UIntPCodes, + endpoint: bool = False, + ) -> NDArray[np.uintp]: ... + @overload + def integers( + self, + low: int, + high: int | None = None, + size: None = None, + dtype: DTypeLike | None = ..., + endpoint: bool = False, + ) -> Any: ... + @overload + def integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: DTypeLike | None = ..., + endpoint: bool = False, + ) -> NDArray[Any]: ... + + # TODO: Use a TypeVar _T here to get away from Any output? + # Should be int->NDArray[int64], ArrayLike[_T] -> _T | NDArray[Any] + @overload + def choice( + self, + a: int, + size: None = None, + replace: bool = True, + p: _ArrayLikeFloat_co | None = None, + axis: int = 0, + shuffle: bool = True, + ) -> int: ... + @overload + def choice( + self, + a: int, + size: _ShapeLike | None = None, + replace: bool = True, + p: _ArrayLikeFloat_co | None = None, + axis: int = 0, + shuffle: bool = True, + ) -> NDArray[int64]: ... + @overload + def choice( + self, + a: ArrayLike, + size: None = None, + replace: bool = True, + p: _ArrayLikeFloat_co | None = None, + axis: int = 0, + shuffle: bool = True, + ) -> Any: ... + @overload + def choice( + self, + a: ArrayLike, + size: _ShapeLike | None = None, + replace: bool = True, + p: _ArrayLikeFloat_co | None = None, + axis: int = 0, + shuffle: bool = True, + ) -> NDArray[Any]: ... + @overload + def uniform( + self, + low: _FloatLike_co = 0.0, + high: _FloatLike_co = 1.0, + size: None = None, + ) -> float: ... # type: ignore[misc] + @overload + def uniform( + self, + low: _ArrayLikeFloat_co = 0.0, + high: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def normal( + self, + loc: _FloatLike_co = 0.0, + scale: _FloatLike_co = 1.0, + size: None = None, + ) -> float: ... # type: ignore[misc] + @overload + def normal( + self, + loc: _ArrayLikeFloat_co = 0.0, + scale: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def standard_gamma( # type: ignore[misc] + self, + shape: _FloatLike_co, + size: None = None, + dtype: _DTypeLikeFloat32 | _DTypeLikeFloat64 = ..., + out: None = None, + ) -> float: ... + @overload + def standard_gamma( + self, + shape: _ArrayLikeFloat_co, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def standard_gamma( + self, + shape: _ArrayLikeFloat_co, + *, + out: NDArray[float64] | None = None, + ) -> NDArray[float64]: ... + @overload + def standard_gamma( + self, + shape: _ArrayLikeFloat_co, + size: _ShapeLike | None = None, + dtype: _DTypeLikeFloat32 = ..., + out: NDArray[float32] | None = None, + ) -> NDArray[float32]: ... + @overload + def standard_gamma( + self, + shape: _ArrayLikeFloat_co, + size: _ShapeLike | None = None, + dtype: _DTypeLikeFloat64 = ..., + out: NDArray[float64] | None = None, + ) -> NDArray[float64]: ... + @overload + def gamma( + self, shape: _FloatLike_co, scale: _FloatLike_co = 1.0, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def gamma( + self, + shape: _ArrayLikeFloat_co, + scale: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def f( + self, dfnum: _FloatLike_co, dfden: _FloatLike_co, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def f( + self, + dfnum: _ArrayLikeFloat_co, + dfden: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def noncentral_f( + self, + dfnum: _FloatLike_co, + dfden: _FloatLike_co, + nonc: _FloatLike_co, + size: None = None, + ) -> float: ... # type: ignore[misc] + @overload + def noncentral_f( + self, + dfnum: _ArrayLikeFloat_co, + dfden: _ArrayLikeFloat_co, + nonc: _ArrayLikeFloat_co, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def chisquare(self, df: _FloatLike_co, size: None = None) -> float: ... # type: ignore[misc] + @overload + def chisquare( + self, df: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def noncentral_chisquare( + self, df: _FloatLike_co, nonc: _FloatLike_co, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def noncentral_chisquare( + self, + df: _ArrayLikeFloat_co, + nonc: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def standard_t(self, df: _FloatLike_co, size: None = None) -> float: ... # type: ignore[misc] + @overload + def standard_t( + self, df: _ArrayLikeFloat_co, size: None = None + ) -> NDArray[float64]: ... + @overload + def standard_t( + self, df: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def vonmises( + self, mu: _FloatLike_co, kappa: _FloatLike_co, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def vonmises( + self, + mu: _ArrayLikeFloat_co, + kappa: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def pareto(self, a: _FloatLike_co, size: None = None) -> float: ... # type: ignore[misc] + @overload + def pareto( + self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def weibull(self, a: _FloatLike_co, size: None = None) -> float: ... # type: ignore[misc] + @overload + def weibull( + self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def power(self, a: _FloatLike_co, size: None = None) -> float: ... # type: ignore[misc] + @overload + def power( + self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def standard_cauchy(self, size: None = None) -> float: ... # type: ignore[misc] + @overload + def standard_cauchy(self, size: _ShapeLike | None = None) -> NDArray[float64]: ... + @overload + def laplace( + self, + loc: _FloatLike_co = 0.0, + scale: _FloatLike_co = 1.0, + size: None = None, + ) -> float: ... # type: ignore[misc] + @overload + def laplace( + self, + loc: _ArrayLikeFloat_co = 0.0, + scale: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def gumbel( + self, + loc: _FloatLike_co = 0.0, + scale: _FloatLike_co = 1.0, + size: None = None, + ) -> float: ... # type: ignore[misc] + @overload + def gumbel( + self, + loc: _ArrayLikeFloat_co = 0.0, + scale: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def logistic( + self, + loc: _FloatLike_co = 0.0, + scale: _FloatLike_co = 1.0, + size: None = None, + ) -> float: ... # type: ignore[misc] + @overload + def logistic( + self, + loc: _ArrayLikeFloat_co = 0.0, + scale: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def lognormal( + self, + mean: _FloatLike_co = 0.0, + sigma: _FloatLike_co = 1.0, + size: None = None, + ) -> float: ... # type: ignore[misc] + @overload + def lognormal( + self, + mean: _ArrayLikeFloat_co = 0.0, + sigma: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def rayleigh(self, scale: _FloatLike_co = 1.0, size: None = None) -> float: ... # type: ignore[misc] + @overload + def rayleigh( + self, scale: _ArrayLikeFloat_co = 1.0, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def wald( + self, mean: _FloatLike_co, scale: _FloatLike_co, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def wald( + self, + mean: _ArrayLikeFloat_co, + scale: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def triangular( + self, + left: _FloatLike_co, + mode: _FloatLike_co, + right: _FloatLike_co, + size: None = None, + ) -> float: ... # type: ignore[misc] + @overload + def triangular( + self, + left: _ArrayLikeFloat_co, + mode: _ArrayLikeFloat_co, + right: _ArrayLikeFloat_co, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def binomial(self, n: int, p: _FloatLike_co, size: None = None) -> int: ... # type: ignore[misc] + @overload + def binomial( + self, n: _ArrayLikeInt_co, p: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[int64]: ... + @overload + def negative_binomial( + self, n: _FloatLike_co, p: _FloatLike_co, size: None = None + ) -> int: ... # type: ignore[misc] + @overload + def negative_binomial( + self, + n: _ArrayLikeFloat_co, + p: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[int64]: ... + @overload + def poisson(self, lam: _FloatLike_co = 1.0, size: None = None) -> int: ... # type: ignore[misc] + @overload + def poisson( + self, lam: _ArrayLikeFloat_co = 1.0, size: _ShapeLike | None = None + ) -> NDArray[int64]: ... + @overload + def zipf(self, a: _FloatLike_co, size: None = None) -> int: ... # type: ignore[misc] + @overload + def zipf( + self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[int64]: ... + @overload + def geometric(self, p: _FloatLike_co, size: None = None) -> int: ... # type: ignore[misc] + @overload + def geometric( + self, p: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[int64]: ... + @overload + def hypergeometric( + self, ngood: int, nbad: int, nsample: int, size: None = None + ) -> int: ... # type: ignore[misc] + @overload + def hypergeometric( + self, + ngood: _ArrayLikeInt_co, + nbad: _ArrayLikeInt_co, + nsample: _ArrayLikeInt_co, + size: _ShapeLike | None = None, + ) -> NDArray[int64]: ... + @overload + def logseries(self, p: _FloatLike_co, size: None = None) -> int: ... # type: ignore[misc] + @overload + def logseries( + self, p: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[int64]: ... + def multivariate_normal( + self, + mean: _ArrayLikeFloat_co, + cov: _ArrayLikeFloat_co, + size: _ShapeLike | None = None, + check_valid: Literal["warn", "raise", "ignore"] = "warn", + tol: float = 1e-8, + *, + method: Literal["svd", "eigh", "cholesky"] = "svd", + ) -> NDArray[float64]: ... + def multinomial( + self, n: _ArrayLikeInt_co, + pvals: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[int64]: ... + def multivariate_hypergeometric( + self, + colors: _ArrayLikeInt_co, + nsample: int, + size: _ShapeLike | None = None, + method: Literal["marginals", "count"] = "marginals", + ) -> NDArray[int64]: ... + def dirichlet( + self, alpha: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + def permuted( + self, x: ArrayLike, *, axis: int | None = None, out: NDArray[Any] | None = None + ) -> NDArray[Any]: ... + + # axis must be 0 for MutableSequence + @overload + def shuffle(self, /, x: np.ndarray, axis: int = 0) -> None: ... + @overload + def shuffle(self, /, x: MutableSequence[Any], axis: Literal[0] = 0) -> None: ... + +def default_rng( + seed: _ArrayLikeInt_co | SeedSequence | BitGenerator | Generator | RandomState | None = None +) -> Generator: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_mt19937.cpython-311-x86_64-linux-gnu.so b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_mt19937.cpython-311-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..ea812e42147a152300afd0083db87468b21617fc --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_mt19937.cpython-311-x86_64-linux-gnu.so @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:6edbd3acc543aa58610f0e3eacf71e7343010d5721b1df2a2a4fee7bea48407c +size 131072 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_mt19937.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_mt19937.pyi new file mode 100644 index 0000000000000000000000000000000000000000..03373a6dd6ea33b0025ef6db56fd2d2063b800c0 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_mt19937.pyi @@ -0,0 +1,27 @@ +from typing import TypedDict, type_check_only + +from numpy import uint32 +from numpy._typing import _ArrayLikeInt_co +from numpy.random.bit_generator import BitGenerator, SeedSequence +from numpy.typing import NDArray + +__all__ = ["MT19937"] + +@type_check_only +class _MT19937Internal(TypedDict): + key: NDArray[uint32] + pos: int + +@type_check_only +class _MT19937State(TypedDict): + bit_generator: str + state: _MT19937Internal + +class MT19937(BitGenerator): + def __init__(self, seed: _ArrayLikeInt_co | SeedSequence | None = ...) -> None: ... + def _legacy_seeding(self, seed: _ArrayLikeInt_co) -> None: ... + def jumped(self, jumps: int = 1) -> MT19937: ... + @property # type: ignore[override] + def state(self) -> _MT19937State: ... + @state.setter + def state(self, value: _MT19937State) -> None: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pcg64.cpython-311-x86_64-linux-gnu.so b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pcg64.cpython-311-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..a7ed1cd68e195677c130f142246418b42bc46e56 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pcg64.cpython-311-x86_64-linux-gnu.so @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:cd16eef58424a339bb93a9eff61c7482229e23554cbf4089526e3bacd018ec98 +size 138584 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pcg64.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pcg64.pyi new file mode 100644 index 0000000000000000000000000000000000000000..a9e81f7f181b21899c969aa2b644387bfb6a34ae --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pcg64.pyi @@ -0,0 +1,41 @@ +from typing import TypedDict, type_check_only + +from numpy._typing import _ArrayLikeInt_co +from numpy.random.bit_generator import BitGenerator, SeedSequence + +__all__ = ["PCG64"] + +@type_check_only +class _PCG64Internal(TypedDict): + state: int + inc: int + +@type_check_only +class _PCG64State(TypedDict): + bit_generator: str + state: _PCG64Internal + has_uint32: int + uinteger: int + +class PCG64(BitGenerator): + def __init__(self, seed: _ArrayLikeInt_co | SeedSequence | None = ...) -> None: ... + def jumped(self, jumps: int = 1) -> PCG64: ... + @property # type: ignore[override] + def state( + self, + ) -> _PCG64State: ... + @state.setter + def state( + self, + value: _PCG64State, + ) -> None: ... + def advance(self, delta: int) -> PCG64: ... + +class PCG64DXSM(BitGenerator): + def __init__(self, seed: _ArrayLikeInt_co | SeedSequence | None = ...) -> None: ... + def jumped(self, jumps: int = 1) -> PCG64DXSM: ... + @property # type: ignore[override] + def state(self) -> _PCG64State: ... + @state.setter + def state(self, value: _PCG64State) -> None: ... + def advance(self, delta: int) -> PCG64DXSM: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_philox.cpython-311-x86_64-linux-gnu.so b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_philox.cpython-311-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..b30d48d0d3134568eef0ac41df21008aed0f108d --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_philox.cpython-311-x86_64-linux-gnu.so @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:1a866751156413cd95c38e3b4bd4f981919cc4692a75dc8f965505c1ce48c4de +size 114512 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_philox.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_philox.pyi new file mode 100644 index 0000000000000000000000000000000000000000..3089f11ea6293cdc80b19d8cda6ac94014a5d6af --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_philox.pyi @@ -0,0 +1,36 @@ +from typing import TypedDict, type_check_only + +from numpy import uint64 +from numpy._typing import _ArrayLikeInt_co +from numpy.random.bit_generator import BitGenerator, SeedSequence +from numpy.typing import NDArray + +__all__ = ["Philox"] + +@type_check_only +class _PhiloxInternal(TypedDict): + counter: NDArray[uint64] + key: NDArray[uint64] + +@type_check_only +class _PhiloxState(TypedDict): + bit_generator: str + state: _PhiloxInternal + buffer: NDArray[uint64] + buffer_pos: int + has_uint32: int + uinteger: int + +class Philox(BitGenerator): + def __init__( + self, + seed: _ArrayLikeInt_co | SeedSequence | None = ..., + counter: _ArrayLikeInt_co | None = ..., + key: _ArrayLikeInt_co | None = ..., + ) -> None: ... + @property # type: ignore[override] + def state(self) -> _PhiloxState: ... + @state.setter + def state(self, value: _PhiloxState) -> None: ... + def jumped(self, jumps: int = 1) -> Philox: ... + def advance(self, delta: int) -> Philox: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pickle.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pickle.py new file mode 100644 index 0000000000000000000000000000000000000000..05f7232e68defe3f09a4339af24d541d566e6cae --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pickle.py @@ -0,0 +1,88 @@ +from ._generator import Generator +from ._mt19937 import MT19937 +from ._pcg64 import PCG64, PCG64DXSM +from ._philox import Philox +from ._sfc64 import SFC64 +from .bit_generator import BitGenerator +from .mtrand import RandomState + +BitGenerators = {'MT19937': MT19937, + 'PCG64': PCG64, + 'PCG64DXSM': PCG64DXSM, + 'Philox': Philox, + 'SFC64': SFC64, + } + + +def __bit_generator_ctor(bit_generator: str | type[BitGenerator] = 'MT19937'): + """ + Pickling helper function that returns a bit generator object + + Parameters + ---------- + bit_generator : type[BitGenerator] or str + BitGenerator class or string containing the name of the BitGenerator + + Returns + ------- + BitGenerator + BitGenerator instance + """ + if isinstance(bit_generator, type): + bit_gen_class = bit_generator + elif bit_generator in BitGenerators: + bit_gen_class = BitGenerators[bit_generator] + else: + raise ValueError( + str(bit_generator) + ' is not a known BitGenerator module.' + ) + + return bit_gen_class() + + +def __generator_ctor(bit_generator_name="MT19937", + bit_generator_ctor=__bit_generator_ctor): + """ + Pickling helper function that returns a Generator object + + Parameters + ---------- + bit_generator_name : str or BitGenerator + String containing the core BitGenerator's name or a + BitGenerator instance + bit_generator_ctor : callable, optional + Callable function that takes bit_generator_name as its only argument + and returns an instantized bit generator. + + Returns + ------- + rg : Generator + Generator using the named core BitGenerator + """ + if isinstance(bit_generator_name, BitGenerator): + return Generator(bit_generator_name) + # Legacy path that uses a bit generator name and ctor + return Generator(bit_generator_ctor(bit_generator_name)) + + +def __randomstate_ctor(bit_generator_name="MT19937", + bit_generator_ctor=__bit_generator_ctor): + """ + Pickling helper function that returns a legacy RandomState-like object + + Parameters + ---------- + bit_generator_name : str + String containing the core BitGenerator's name + bit_generator_ctor : callable, optional + Callable function that takes bit_generator_name as its only argument + and returns an instantized bit generator. + + Returns + ------- + rs : RandomState + Legacy RandomState using the named core BitGenerator + """ + if isinstance(bit_generator_name, BitGenerator): + return RandomState(bit_generator_name) + return RandomState(bit_generator_ctor(bit_generator_name)) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pickle.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pickle.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b8b1b7bcf63b2d50f8ca143cf91d934cd5fc69b9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_pickle.pyi @@ -0,0 +1,43 @@ +from collections.abc import Callable +from typing import Final, Literal, TypedDict, TypeVar, overload, type_check_only + +from numpy.random._generator import Generator +from numpy.random._mt19937 import MT19937 +from numpy.random._pcg64 import PCG64, PCG64DXSM +from numpy.random._philox import Philox +from numpy.random._sfc64 import SFC64 +from numpy.random.bit_generator import BitGenerator +from numpy.random.mtrand import RandomState + +_T = TypeVar("_T", bound=BitGenerator) + +@type_check_only +class _BitGenerators(TypedDict): + MT19937: type[MT19937] + PCG64: type[PCG64] + PCG64DXSM: type[PCG64DXSM] + Philox: type[Philox] + SFC64: type[SFC64] + +BitGenerators: Final[_BitGenerators] = ... + +@overload +def __bit_generator_ctor(bit_generator: Literal["MT19937"] = "MT19937") -> MT19937: ... +@overload +def __bit_generator_ctor(bit_generator: Literal["PCG64"]) -> PCG64: ... +@overload +def __bit_generator_ctor(bit_generator: Literal["PCG64DXSM"]) -> PCG64DXSM: ... +@overload +def __bit_generator_ctor(bit_generator: Literal["Philox"]) -> Philox: ... +@overload +def __bit_generator_ctor(bit_generator: Literal["SFC64"]) -> SFC64: ... +@overload +def __bit_generator_ctor(bit_generator: type[_T]) -> _T: ... +def __generator_ctor( + bit_generator_name: str | type[BitGenerator] | BitGenerator = "MT19937", + bit_generator_ctor: Callable[[str | type[BitGenerator]], BitGenerator] = ..., +) -> Generator: ... +def __randomstate_ctor( + bit_generator_name: str | type[BitGenerator] | BitGenerator = "MT19937", + bit_generator_ctor: Callable[[str | type[BitGenerator]], BitGenerator] = ..., +) -> RandomState: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_sfc64.cpython-311-x86_64-linux-gnu.so b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_sfc64.cpython-311-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..b4dabce622878867bf0d5a3639119410438dbc70 Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_sfc64.cpython-311-x86_64-linux-gnu.so differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_sfc64.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_sfc64.pyi new file mode 100644 index 0000000000000000000000000000000000000000..f5f3fed9c251d18e6cc5f2a45b6425407d951881 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/_sfc64.pyi @@ -0,0 +1,25 @@ +from typing import TypedDict, type_check_only + +from numpy import uint64 +from numpy._typing import NDArray, _ArrayLikeInt_co +from numpy.random.bit_generator import BitGenerator, SeedSequence + +__all__ = ["SFC64"] + +@type_check_only +class _SFC64Internal(TypedDict): + state: NDArray[uint64] + +@type_check_only +class _SFC64State(TypedDict): + bit_generator: str + state: _SFC64Internal + has_uint32: int + uinteger: int + +class SFC64(BitGenerator): + def __init__(self, seed: _ArrayLikeInt_co | SeedSequence | None = ...) -> None: ... + @property # type: ignore[override] + def state(self) -> _SFC64State: ... + @state.setter + def state(self, value: _SFC64State) -> None: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/bit_generator.cpython-311-x86_64-linux-gnu.so b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/bit_generator.cpython-311-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..9f60f56919cb01390548277dff291c3b4e4e603c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/bit_generator.cpython-311-x86_64-linux-gnu.so @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:e0d931cd4694de2ca87ed2731dffb51a0dacdeaa160b6fd627bda678f182e157 +size 222528 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/bit_generator.pxd b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/bit_generator.pxd new file mode 100644 index 0000000000000000000000000000000000000000..4ba18f17ecb22e98276db309519caf07e73ce1f4 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/bit_generator.pxd @@ -0,0 +1,40 @@ +cimport numpy as np +from libc.stdint cimport uint32_t, uint64_t + +cdef extern from "numpy/random/bitgen.h": + struct bitgen: + void *state + uint64_t (*next_uint64)(void *st) nogil + uint32_t (*next_uint32)(void *st) nogil + double (*next_double)(void *st) nogil + uint64_t (*next_raw)(void *st) nogil + + ctypedef bitgen bitgen_t + +cdef class BitGenerator(): + cdef readonly object _seed_seq + cdef readonly object lock + cdef bitgen_t _bitgen + cdef readonly object _ctypes + cdef readonly object _cffi + cdef readonly object capsule + + +cdef class SeedSequence(): + cdef readonly object entropy + cdef readonly tuple spawn_key + cdef readonly Py_ssize_t pool_size + cdef readonly object pool + cdef readonly uint32_t n_children_spawned + + cdef mix_entropy(self, np.ndarray[np.npy_uint32, ndim=1] mixer, + np.ndarray[np.npy_uint32, ndim=1] entropy_array) + cdef get_assembled_entropy(self) + +cdef class SeedlessSeedSequence: + pass + +# NOTE: This has no implementation and should not be used. It purely exists for +# backwards compatibility, see https://github.com/scipy/scipy/issues/24215. +cdef class SeedlessSequence: + pass diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/bit_generator.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/bit_generator.pyi new file mode 100644 index 0000000000000000000000000000000000000000..ee4499dee1f35d86cb1f555d3c4b58f6e89e7235 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/bit_generator.pyi @@ -0,0 +1,123 @@ +import abc +from _typeshed import Incomplete +from collections.abc import Callable, Mapping, Sequence +from threading import Lock +from typing import ( + Any, + ClassVar, + Literal, + NamedTuple, + Self, + TypeAlias, + TypedDict, + overload, + type_check_only, +) +from typing_extensions import CapsuleType + +import numpy as np +from numpy._typing import ( + NDArray, + _ArrayLikeInt_co, + _DTypeLike, + _ShapeLike, + _UInt32Codes, + _UInt64Codes, +) + +__all__ = ["BitGenerator", "SeedSequence"] + +### + +_DTypeLikeUint_: TypeAlias = _DTypeLike[np.uint32 | np.uint64] | _UInt32Codes | _UInt64Codes + +@type_check_only +class _SeedSeqState(TypedDict): + entropy: int | Sequence[int] | None + spawn_key: tuple[int, ...] + pool_size: int + n_children_spawned: int + +@type_check_only +class _Interface(NamedTuple): + state_address: Incomplete + state: Incomplete + next_uint64: Incomplete + next_uint32: Incomplete + next_double: Incomplete + bit_generator: Incomplete + +@type_check_only +class _CythonMixin: + def __setstate_cython__(self, pyx_state: object, /) -> None: ... + def __reduce_cython__(self) -> Any: ... # noqa: ANN401 + +@type_check_only +class _GenerateStateMixin(_CythonMixin): + def generate_state(self, /, n_words: int, dtype: _DTypeLikeUint_ = ...) -> NDArray[np.uint32 | np.uint64]: ... + +### + +class ISeedSequence(abc.ABC): + @abc.abstractmethod + def generate_state(self, /, n_words: int, dtype: _DTypeLikeUint_ = ...) -> NDArray[np.uint32 | np.uint64]: ... + +class ISpawnableSeedSequence(ISeedSequence, abc.ABC): + @abc.abstractmethod + def spawn(self, /, n_children: int) -> list[Self]: ... + +class SeedlessSeedSequence(_GenerateStateMixin, ISpawnableSeedSequence): + def spawn(self, /, n_children: int) -> list[Self]: ... + +class SeedSequence(_GenerateStateMixin, ISpawnableSeedSequence): + __pyx_vtable__: ClassVar[CapsuleType] = ... + + entropy: int | Sequence[int] | None + spawn_key: tuple[int, ...] + pool_size: int + n_children_spawned: int + pool: NDArray[np.uint32] + + def __init__( + self, + /, + entropy: _ArrayLikeInt_co | None = None, + *, + spawn_key: Sequence[int] = (), + pool_size: int = 4, + n_children_spawned: int = ..., + ) -> None: ... + def spawn(self, /, n_children: int) -> list[Self]: ... + @property + def state(self) -> _SeedSeqState: ... + +class BitGenerator(_CythonMixin, abc.ABC): + lock: Lock + @property + def state(self) -> Mapping[str, Any]: ... + @state.setter + def state(self, value: Mapping[str, Any], /) -> None: ... + @property + def seed_seq(self) -> ISeedSequence: ... + @property + def ctypes(self) -> _Interface: ... + @property + def cffi(self) -> _Interface: ... + @property + def capsule(self) -> CapsuleType: ... + + # + def __init__(self, /, seed: _ArrayLikeInt_co | SeedSequence | None = None) -> None: ... + def __reduce__(self) -> tuple[Callable[[str], Self], tuple[str], tuple[Mapping[str, Any], ISeedSequence]]: ... + def spawn(self, /, n_children: int) -> list[Self]: ... + def _benchmark(self, /, cnt: int, method: str = "uint64") -> None: ... + + # + @overload + def random_raw(self, /, size: None = None, output: Literal[True] = True) -> int: ... + @overload + def random_raw(self, /, size: _ShapeLike, output: Literal[True] = True) -> NDArray[np.uint64]: ... + @overload + def random_raw(self, /, size: _ShapeLike | None, output: Literal[False]) -> None: ... + @overload + def random_raw(self, /, size: _ShapeLike | None = None, *, output: Literal[False]) -> None: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/c_distributions.pxd b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/c_distributions.pxd new file mode 100644 index 0000000000000000000000000000000000000000..da790ca499df2aadb503d6a98182575fb0de67ed --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/c_distributions.pxd @@ -0,0 +1,119 @@ +#cython: wraparound=False, nonecheck=False, boundscheck=False, cdivision=True, language_level=3 +from numpy cimport npy_intp + +from libc.stdint cimport (uint64_t, int32_t, int64_t) +from numpy.random cimport bitgen_t + +cdef extern from "numpy/random/distributions.h": + + struct s_binomial_t: + int has_binomial + double psave + int64_t nsave + double r + double q + double fm + int64_t m + double p1 + double xm + double xl + double xr + double c + double laml + double lamr + double p2 + double p3 + double p4 + + ctypedef s_binomial_t binomial_t + + float random_standard_uniform_f(bitgen_t *bitgen_state) nogil + double random_standard_uniform(bitgen_t *bitgen_state) nogil + void random_standard_uniform_fill(bitgen_t* bitgen_state, npy_intp cnt, double *out) nogil + void random_standard_uniform_fill_f(bitgen_t *bitgen_state, npy_intp cnt, float *out) nogil + + double random_standard_exponential(bitgen_t *bitgen_state) nogil + float random_standard_exponential_f(bitgen_t *bitgen_state) nogil + void random_standard_exponential_fill(bitgen_t *bitgen_state, npy_intp cnt, double *out) nogil + void random_standard_exponential_fill_f(bitgen_t *bitgen_state, npy_intp cnt, float *out) nogil + void random_standard_exponential_inv_fill(bitgen_t *bitgen_state, npy_intp cnt, double *out) nogil + void random_standard_exponential_inv_fill_f(bitgen_t *bitgen_state, npy_intp cnt, float *out) nogil + + double random_standard_normal(bitgen_t* bitgen_state) nogil + float random_standard_normal_f(bitgen_t *bitgen_state) nogil + void random_standard_normal_fill(bitgen_t *bitgen_state, npy_intp count, double *out) nogil + void random_standard_normal_fill_f(bitgen_t *bitgen_state, npy_intp count, float *out) nogil + double random_standard_gamma(bitgen_t *bitgen_state, double shape) nogil + float random_standard_gamma_f(bitgen_t *bitgen_state, float shape) nogil + + float random_standard_uniform_f(bitgen_t *bitgen_state) nogil + void random_standard_uniform_fill_f(bitgen_t* bitgen_state, npy_intp cnt, float *out) nogil + float random_standard_normal_f(bitgen_t* bitgen_state) nogil + float random_standard_gamma_f(bitgen_t *bitgen_state, float shape) nogil + + int64_t random_positive_int64(bitgen_t *bitgen_state) nogil + int32_t random_positive_int32(bitgen_t *bitgen_state) nogil + int64_t random_positive_int(bitgen_t *bitgen_state) nogil + uint64_t random_uint(bitgen_t *bitgen_state) nogil + + double random_normal(bitgen_t *bitgen_state, double loc, double scale) nogil + + double random_gamma(bitgen_t *bitgen_state, double shape, double scale) nogil + float random_gamma_f(bitgen_t *bitgen_state, float shape, float scale) nogil + + double random_exponential(bitgen_t *bitgen_state, double scale) nogil + double random_uniform(bitgen_t *bitgen_state, double lower, double range) nogil + double random_beta(bitgen_t *bitgen_state, double a, double b) nogil + double random_chisquare(bitgen_t *bitgen_state, double df) nogil + double random_f(bitgen_t *bitgen_state, double dfnum, double dfden) nogil + double random_standard_cauchy(bitgen_t *bitgen_state) nogil + double random_pareto(bitgen_t *bitgen_state, double a) nogil + double random_weibull(bitgen_t *bitgen_state, double a) nogil + double random_power(bitgen_t *bitgen_state, double a) nogil + double random_laplace(bitgen_t *bitgen_state, double loc, double scale) nogil + double random_gumbel(bitgen_t *bitgen_state, double loc, double scale) nogil + double random_logistic(bitgen_t *bitgen_state, double loc, double scale) nogil + double random_lognormal(bitgen_t *bitgen_state, double mean, double sigma) nogil + double random_rayleigh(bitgen_t *bitgen_state, double mode) nogil + double random_standard_t(bitgen_t *bitgen_state, double df) nogil + double random_noncentral_chisquare(bitgen_t *bitgen_state, double df, + double nonc) nogil + double random_noncentral_f(bitgen_t *bitgen_state, double dfnum, + double dfden, double nonc) nogil + double random_wald(bitgen_t *bitgen_state, double mean, double scale) nogil + double random_vonmises(bitgen_t *bitgen_state, double mu, double kappa) nogil + double random_triangular(bitgen_t *bitgen_state, double left, double mode, + double right) nogil + + int64_t random_poisson(bitgen_t *bitgen_state, double lam) nogil + int64_t random_negative_binomial(bitgen_t *bitgen_state, double n, double p) nogil + int64_t random_binomial(bitgen_t *bitgen_state, double p, int64_t n, binomial_t *binomial) nogil + int64_t random_logseries(bitgen_t *bitgen_state, double p) nogil + int64_t random_geometric_search(bitgen_t *bitgen_state, double p) nogil + int64_t random_geometric_inversion(bitgen_t *bitgen_state, double p) nogil + int64_t random_geometric(bitgen_t *bitgen_state, double p) nogil + int64_t random_zipf(bitgen_t *bitgen_state, double a) nogil + int64_t random_hypergeometric(bitgen_t *bitgen_state, int64_t good, int64_t bad, + int64_t sample) nogil + + uint64_t random_interval(bitgen_t *bitgen_state, uint64_t max) nogil + + # Generate random uint64 numbers in closed interval [off, off + rng]. + uint64_t random_bounded_uint64(bitgen_t *bitgen_state, + uint64_t off, uint64_t rng, + uint64_t mask, bint use_masked) nogil + + void random_multinomial(bitgen_t *bitgen_state, int64_t n, int64_t *mnix, + double *pix, npy_intp d, binomial_t *binomial) nogil + + int random_multivariate_hypergeometric_count(bitgen_t *bitgen_state, + int64_t total, + size_t num_colors, int64_t *colors, + int64_t nsample, + size_t num_variates, int64_t *variates) nogil + void random_multivariate_hypergeometric_marginals(bitgen_t *bitgen_state, + int64_t total, + size_t num_colors, int64_t *colors, + int64_t nsample, + size_t num_variates, int64_t *variates) nogil + diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/lib/libnpyrandom.a b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/lib/libnpyrandom.a new file mode 100644 index 0000000000000000000000000000000000000000..93e6efeafaea3fa14750c1169455594d72aca796 Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/lib/libnpyrandom.a differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/mtrand.cpython-311-x86_64-linux-gnu.so b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/mtrand.cpython-311-x86_64-linux-gnu.so new file mode 100644 index 0000000000000000000000000000000000000000..eb7e127f3f977ab5d52df08d53e9077858936ce0 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/mtrand.cpython-311-x86_64-linux-gnu.so @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:3badc42eeb19cb0837bb5fd89ed792e14be2df6bc4005cf2f9bca0490f610ad6 +size 647216 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/mtrand.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/mtrand.pyi new file mode 100644 index 0000000000000000000000000000000000000000..c20d35193d45b1be788510230ff0afdc8377cee4 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/mtrand.pyi @@ -0,0 +1,759 @@ +import builtins +from collections.abc import Callable +from typing import Any, Literal, overload + +import numpy as np +from numpy import ( + dtype, + float64, + int8, + int16, + int32, + int64, + int_, + long, + uint, + uint8, + uint16, + uint32, + uint64, + ulong, +) +from numpy._typing import ( + ArrayLike, + NDArray, + _ArrayLikeFloat_co, + _ArrayLikeInt_co, + _DTypeLikeBool, + _Int8Codes, + _Int16Codes, + _Int32Codes, + _Int64Codes, + _IntCodes, + _LongCodes, + _ShapeLike, + _SupportsDType, + _UInt8Codes, + _UInt16Codes, + _UInt32Codes, + _UInt64Codes, + _UIntCodes, + _ULongCodes, +) +from numpy.random.bit_generator import BitGenerator + +__all__ = [ + "RandomState", + "beta", + "binomial", + "bytes", + "chisquare", + "choice", + "dirichlet", + "exponential", + "f", + "gamma", + "geometric", + "get_bit_generator", + "get_state", + "gumbel", + "hypergeometric", + "laplace", + "logistic", + "lognormal", + "logseries", + "multinomial", + "multivariate_normal", + "negative_binomial", + "noncentral_chisquare", + "noncentral_f", + "normal", + "pareto", + "permutation", + "poisson", + "power", + "rand", + "randint", + "randn", + "random", + "random_integers", + "random_sample", + "ranf", + "rayleigh", + "sample", + "seed", + "set_bit_generator", + "set_state", + "shuffle", + "standard_cauchy", + "standard_exponential", + "standard_gamma", + "standard_normal", + "standard_t", + "triangular", + "uniform", + "vonmises", + "wald", + "weibull", + "zipf", +] + +class RandomState: + _bit_generator: BitGenerator + def __init__(self, seed: _ArrayLikeInt_co | BitGenerator | None = ...) -> None: ... + def __repr__(self) -> str: ... + def __str__(self) -> str: ... + def __getstate__(self) -> dict[str, Any]: ... + def __setstate__(self, state: dict[str, Any]) -> None: ... + def __reduce__(self) -> tuple[Callable[[BitGenerator], RandomState], tuple[BitGenerator], dict[str, Any]]: ... # noqa: E501 + def seed(self, seed: _ArrayLikeFloat_co | None = None) -> None: ... + @overload + def get_state(self, legacy: Literal[False] = False) -> dict[str, Any]: ... + @overload + def get_state( + self, legacy: Literal[True] = True + ) -> dict[str, Any] | tuple[str, NDArray[uint32], int, int, float]: ... + def set_state( + self, state: dict[str, Any] | tuple[str, NDArray[uint32], int, int, float] + ) -> None: ... + @overload + def random_sample(self, size: None = None) -> float: ... # type: ignore[misc] + @overload + def random_sample(self, size: _ShapeLike) -> NDArray[float64]: ... + @overload + def random(self, size: None = None) -> float: ... # type: ignore[misc] + @overload + def random(self, size: _ShapeLike) -> NDArray[float64]: ... + @overload + def beta(self, a: float, b: float, size: None = None) -> float: ... # type: ignore[misc] + @overload + def beta( + self, + a: _ArrayLikeFloat_co, + b: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def exponential(self, scale: float = 1.0, size: None = None) -> float: ... # type: ignore[misc] + @overload + def exponential( + self, scale: _ArrayLikeFloat_co = 1.0, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def standard_exponential(self, size: None = None) -> float: ... # type: ignore[misc] + @overload + def standard_exponential(self, size: _ShapeLike) -> NDArray[float64]: ... + @overload + def tomaxint(self, size: None = None) -> int: ... # type: ignore[misc] + @overload + # Generates long values, but stores it in a 64bit int: + def tomaxint(self, size: _ShapeLike) -> NDArray[int64]: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + ) -> int: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: type[bool] = ..., + ) -> bool: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: type[np.bool] = ..., + ) -> np.bool: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: type[int] = ..., + ) -> int: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[uint8] | type[uint8] | _UInt8Codes | _SupportsDType[dtype[uint8]] = ..., # noqa: E501 + ) -> uint8: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[uint16] | type[uint16] | _UInt16Codes | _SupportsDType[dtype[uint16]] = ..., # noqa: E501 + ) -> uint16: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[uint32] | type[uint32] | _UInt32Codes | _SupportsDType[dtype[uint32]] = ..., # noqa: E501 + ) -> uint32: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[uint] | type[uint] | _UIntCodes | _SupportsDType[dtype[uint]] = ..., # noqa: E501 + ) -> uint: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[ulong] | type[ulong] | _ULongCodes | _SupportsDType[dtype[ulong]] = ..., # noqa: E501 + ) -> ulong: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[uint64] | type[uint64] | _UInt64Codes | _SupportsDType[dtype[uint64]] = ..., # noqa: E501 + ) -> uint64: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[int8] | type[int8] | _Int8Codes | _SupportsDType[dtype[int8]] = ..., # noqa: E501 + ) -> int8: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[int16] | type[int16] | _Int16Codes | _SupportsDType[dtype[int16]] = ..., # noqa: E501 + ) -> int16: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[int32] | type[int32] | _Int32Codes | _SupportsDType[dtype[int32]] = ..., # noqa: E501 + ) -> int32: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[int_] | type[int_] | _IntCodes | _SupportsDType[dtype[int_]] = ..., # noqa: E501 + ) -> int_: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[long] | type[long] | _LongCodes | _SupportsDType[dtype[long]] = ..., # noqa: E501 + ) -> long: ... + @overload + def randint( # type: ignore[misc] + self, + low: int, + high: int | None = None, + size: None = None, + dtype: dtype[int64] | type[int64] | _Int64Codes | _SupportsDType[dtype[int64]] = ..., # noqa: E501 + ) -> int64: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + ) -> NDArray[long]: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: _DTypeLikeBool = ..., + ) -> NDArray[np.bool]: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: dtype[int8] | type[int8] | _Int8Codes | _SupportsDType[dtype[int8]] = ..., # noqa: E501 + ) -> NDArray[int8]: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: dtype[int16] | type[int16] | _Int16Codes | _SupportsDType[dtype[int16]] = ..., # noqa: E501 + ) -> NDArray[int16]: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: dtype[int32] | type[int32] | _Int32Codes | _SupportsDType[dtype[int32]] = ..., # noqa: E501 + ) -> NDArray[int32]: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: dtype[int64] | type[int64] | _Int64Codes | _SupportsDType[dtype[int64]] | None = ..., # noqa: E501 + ) -> NDArray[int64]: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: dtype[uint8] | type[uint8] | _UInt8Codes | _SupportsDType[dtype[uint8]] = ..., # noqa: E501 + ) -> NDArray[uint8]: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: dtype[uint16] | type[uint16] | _UInt16Codes | _SupportsDType[dtype[uint16]] = ..., # noqa: E501 + ) -> NDArray[uint16]: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: dtype[uint32] | type[uint32] | _UInt32Codes | _SupportsDType[dtype[uint32]] = ..., # noqa: E501 + ) -> NDArray[uint32]: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: dtype[uint64] | type[uint64] | _UInt64Codes | _SupportsDType[dtype[uint64]] = ..., # noqa: E501 + ) -> NDArray[uint64]: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: dtype[long] | type[int] | type[long] | _LongCodes | _SupportsDType[dtype[long]] = ..., # noqa: E501 + ) -> NDArray[long]: ... + @overload + def randint( # type: ignore[misc] + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + dtype: dtype[ulong] | type[ulong] | _ULongCodes | _SupportsDType[dtype[ulong]] = ..., # noqa: E501 + ) -> NDArray[ulong]: ... + def bytes(self, length: int) -> builtins.bytes: ... + @overload + def choice( + self, + a: int, + size: None = None, + replace: bool = True, + p: _ArrayLikeFloat_co | None = None, + ) -> int: ... + @overload + def choice( + self, + a: int, + size: _ShapeLike | None = None, + replace: bool = True, + p: _ArrayLikeFloat_co | None = None, + ) -> NDArray[long]: ... + @overload + def choice( + self, + a: ArrayLike, + size: None = None, + replace: bool = True, + p: _ArrayLikeFloat_co | None = None, + ) -> Any: ... + @overload + def choice( + self, + a: ArrayLike, + size: _ShapeLike | None = None, + replace: bool = True, + p: _ArrayLikeFloat_co | None = None, + ) -> NDArray[Any]: ... + @overload + def uniform( + self, low: float = 0.0, high: float = 1.0, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def uniform( + self, + low: _ArrayLikeFloat_co = 0.0, + high: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def rand(self) -> float: ... + @overload + def rand(self, *args: int) -> NDArray[float64]: ... + @overload + def randn(self) -> float: ... + @overload + def randn(self, *args: int) -> NDArray[float64]: ... + @overload + def random_integers( + self, low: int, high: int | None = None, size: None = None + ) -> int: ... # type: ignore[misc] + @overload + def random_integers( + self, + low: _ArrayLikeInt_co, + high: _ArrayLikeInt_co | None = None, + size: _ShapeLike | None = None, + ) -> NDArray[long]: ... + @overload + def standard_normal(self, size: None = None) -> float: ... # type: ignore[misc] + @overload + def standard_normal( # type: ignore[misc] + self, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def normal( + self, loc: float = 0.0, scale: float = 1.0, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def normal( + self, + loc: _ArrayLikeFloat_co = 0.0, + scale: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def standard_gamma( # type: ignore[misc] + self, + shape: float, + size: None = None, + ) -> float: ... + @overload + def standard_gamma( + self, + shape: _ArrayLikeFloat_co, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def gamma(self, shape: float, scale: float = 1.0, size: None = None) -> float: ... # type: ignore[misc] + @overload + def gamma( + self, + shape: _ArrayLikeFloat_co, + scale: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def f(self, dfnum: float, dfden: float, size: None = None) -> float: ... # type: ignore[misc] + @overload + def f( + self, + dfnum: _ArrayLikeFloat_co, + dfden: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def noncentral_f( + self, dfnum: float, dfden: float, nonc: float, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def noncentral_f( + self, + dfnum: _ArrayLikeFloat_co, + dfden: _ArrayLikeFloat_co, + nonc: _ArrayLikeFloat_co, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def chisquare(self, df: float, size: None = None) -> float: ... # type: ignore[misc] + @overload + def chisquare( + self, df: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def noncentral_chisquare( + self, df: float, nonc: float, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def noncentral_chisquare( + self, + df: _ArrayLikeFloat_co, + nonc: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def standard_t(self, df: float, size: None = None) -> float: ... # type: ignore[misc] + @overload + def standard_t( + self, df: _ArrayLikeFloat_co, size: None = None + ) -> NDArray[float64]: ... + @overload + def standard_t( + self, df: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def vonmises(self, mu: float, kappa: float, size: None = None) -> float: ... # type: ignore[misc] + @overload + def vonmises( + self, + mu: _ArrayLikeFloat_co, + kappa: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def pareto(self, a: float, size: None = None) -> float: ... # type: ignore[misc] + @overload + def pareto( + self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def weibull(self, a: float, size: None = None) -> float: ... # type: ignore[misc] + @overload + def weibull( + self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def power(self, a: float, size: None = None) -> float: ... # type: ignore[misc] + @overload + def power( + self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def standard_cauchy(self, size: None = None) -> float: ... # type: ignore[misc] + @overload + def standard_cauchy(self, size: _ShapeLike | None = None) -> NDArray[float64]: ... + @overload + def laplace( + self, loc: float = 0.0, scale: float = 1.0, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def laplace( + self, + loc: _ArrayLikeFloat_co = 0.0, + scale: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def gumbel( + self, loc: float = 0.0, scale: float = 1.0, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def gumbel( + self, + loc: _ArrayLikeFloat_co = 0.0, + scale: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def logistic( + self, loc: float = 0.0, scale: float = 1.0, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def logistic( + self, + loc: _ArrayLikeFloat_co = 0.0, + scale: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def lognormal( + self, mean: float = 0.0, sigma: float = 1.0, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def lognormal( + self, + mean: _ArrayLikeFloat_co = 0.0, + sigma: _ArrayLikeFloat_co = 1.0, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def rayleigh(self, scale: float = 1.0, size: None = None) -> float: ... # type: ignore[misc] + @overload + def rayleigh( + self, scale: _ArrayLikeFloat_co = 1.0, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def wald(self, mean: float, scale: float, size: None = None) -> float: ... # type: ignore[misc] + @overload + def wald( + self, + mean: _ArrayLikeFloat_co, + scale: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + @overload + def triangular( + self, left: float, mode: float, right: float, size: None = None + ) -> float: ... # type: ignore[misc] + @overload + def triangular( + self, + left: _ArrayLikeFloat_co, + mode: _ArrayLikeFloat_co, + right: _ArrayLikeFloat_co, + size: _ShapeLike | None = None, + ) -> NDArray[float64]: ... + @overload + def binomial( + self, n: int, p: float, size: None = None + ) -> int: ... # type: ignore[misc] + @overload + def binomial( + self, n: _ArrayLikeInt_co, p: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[long]: ... + @overload + def negative_binomial( + self, n: float, p: float, size: None = None + ) -> int: ... # type: ignore[misc] + @overload + def negative_binomial( + self, + n: _ArrayLikeFloat_co, + p: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[long]: ... + @overload + def poisson( + self, lam: float = 1.0, size: None = None + ) -> int: ... # type: ignore[misc] + @overload + def poisson( + self, lam: _ArrayLikeFloat_co = 1.0, size: _ShapeLike | None = None + ) -> NDArray[long]: ... + @overload + def zipf(self, a: float, size: None = None) -> int: ... # type: ignore[misc] + @overload + def zipf( + self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[long]: ... + @overload + def geometric(self, p: float, size: None = None) -> int: ... # type: ignore[misc] + @overload + def geometric( + self, p: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[long]: ... + @overload + def hypergeometric( + self, ngood: int, nbad: int, nsample: int, size: None = None + ) -> int: ... # type: ignore[misc] + @overload + def hypergeometric( + self, + ngood: _ArrayLikeInt_co, + nbad: _ArrayLikeInt_co, + nsample: _ArrayLikeInt_co, + size: _ShapeLike | None = None, + ) -> NDArray[long]: ... + @overload + def logseries(self, p: float, size: None = None) -> int: ... # type: ignore[misc] + @overload + def logseries( + self, p: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[long]: ... + def multivariate_normal( + self, + mean: _ArrayLikeFloat_co, + cov: _ArrayLikeFloat_co, + size: _ShapeLike | None = None, + check_valid: Literal["warn", "raise", "ignore"] = "warn", + tol: float = 1e-8, + ) -> NDArray[float64]: ... + def multinomial( + self, n: _ArrayLikeInt_co, + pvals: _ArrayLikeFloat_co, + size: _ShapeLike | None = None + ) -> NDArray[long]: ... + def dirichlet( + self, alpha: _ArrayLikeFloat_co, size: _ShapeLike | None = None + ) -> NDArray[float64]: ... + def shuffle(self, x: ArrayLike) -> None: ... + @overload + def permutation(self, x: int) -> NDArray[long]: ... + @overload + def permutation(self, x: ArrayLike) -> NDArray[Any]: ... + +_rand: RandomState + +beta = _rand.beta +binomial = _rand.binomial +bytes = _rand.bytes +chisquare = _rand.chisquare +choice = _rand.choice +dirichlet = _rand.dirichlet +exponential = _rand.exponential +f = _rand.f +gamma = _rand.gamma +get_state = _rand.get_state +geometric = _rand.geometric +gumbel = _rand.gumbel +hypergeometric = _rand.hypergeometric +laplace = _rand.laplace +logistic = _rand.logistic +lognormal = _rand.lognormal +logseries = _rand.logseries +multinomial = _rand.multinomial +multivariate_normal = _rand.multivariate_normal +negative_binomial = _rand.negative_binomial +noncentral_chisquare = _rand.noncentral_chisquare +noncentral_f = _rand.noncentral_f +normal = _rand.normal +pareto = _rand.pareto +permutation = _rand.permutation +poisson = _rand.poisson +power = _rand.power +rand = _rand.rand +randint = _rand.randint +randn = _rand.randn +random = _rand.random +random_integers = _rand.random_integers +random_sample = _rand.random_sample +rayleigh = _rand.rayleigh +seed = _rand.seed +set_state = _rand.set_state +shuffle = _rand.shuffle +standard_cauchy = _rand.standard_cauchy +standard_exponential = _rand.standard_exponential +standard_gamma = _rand.standard_gamma +standard_normal = _rand.standard_normal +standard_t = _rand.standard_t +triangular = _rand.triangular +uniform = _rand.uniform +vonmises = _rand.vonmises +wald = _rand.wald +weibull = _rand.weibull +zipf = _rand.zipf +# Two legacy that are trivial wrappers around random_sample +sample = _rand.random_sample +ranf = _rand.random_sample + +def 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0xcd601b29a639cc16 +990, 0x2193ce026bfd1085 +991, 0x25ba27f3f225be13 +992, 0x6f685be82f64f2fe +993, 0xec8454108229c450 +994, 0x6e79d8d205447a44 +995, 0x9ed7b6a96b9ccd68 +996, 0xae7134b3b7f8ee37 +997, 0x66963de0e5ebcc02 +998, 0x29c8dcd0d17c423f +999, 0xfb8482c827eb90bc diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/data/sfc64_np126.pkl.gz b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/data/sfc64_np126.pkl.gz new file mode 100644 index 0000000000000000000000000000000000000000..b9f88985ca2c492d4c96adab79151d824dfc6cad --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/data/sfc64_np126.pkl.gz @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:3156b5ca5172ec350f81404afa821e292755978518122377019ec6dec773cdac +size 290 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_direct.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_direct.py new file mode 100644 index 0000000000000000000000000000000000000000..9916f8ad3440f6815397cb019c06405353903706 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_direct.py @@ -0,0 +1,595 @@ +import os +import sys +from os.path import join + +import pytest + +import numpy as np +from numpy.random import ( + MT19937, + PCG64, + PCG64DXSM, + SFC64, + Generator, + Philox, + RandomState, + SeedSequence, + default_rng, +) +from numpy.random._common import interface +from numpy.testing import ( + assert_allclose, + assert_array_equal, + assert_equal, + assert_raises, +) + +try: + import cffi # noqa: F401 + + MISSING_CFFI = False +except ImportError: + MISSING_CFFI = True + +try: + import ctypes # noqa: F401 + + MISSING_CTYPES = False +except ImportError: + MISSING_CTYPES = False + +if sys.flags.optimize > 1: + # no docstrings present to inspect when PYTHONOPTIMIZE/Py_OptimizeFlag > 1 + # cffi cannot succeed + MISSING_CFFI = True + + +pwd = os.path.dirname(os.path.abspath(__file__)) + + +def assert_state_equal(actual, target): + for key in actual: + if isinstance(actual[key], dict): + assert_state_equal(actual[key], target[key]) + elif isinstance(actual[key], np.ndarray): + assert_array_equal(actual[key], target[key]) + else: + assert actual[key] == target[key] + + +def uint32_to_float32(u): + return ((u >> np.uint32(8)) * (1.0 / 2**24)).astype(np.float32) + + +def uniform32_from_uint64(x): + x = np.uint64(x) + upper = np.array(x >> np.uint64(32), dtype=np.uint32) + lower = np.uint64(0xffffffff) + lower = np.array(x & lower, dtype=np.uint32) + joined = np.column_stack([lower, upper]).ravel() + return uint32_to_float32(joined) + + +def uniform32_from_uint53(x): + x = np.uint64(x) >> np.uint64(16) + x = np.uint32(x & np.uint64(0xffffffff)) + return uint32_to_float32(x) + + +def uniform32_from_uint32(x): + return uint32_to_float32(x) + + +def uniform32_from_uint(x, bits): + if bits == 64: + return uniform32_from_uint64(x) + elif bits == 53: + return uniform32_from_uint53(x) + elif bits == 32: + return uniform32_from_uint32(x) + else: + raise NotImplementedError + + +def uniform_from_uint(x, bits): + if bits in (64, 63, 53): + return uniform_from_uint64(x) + elif bits == 32: + return uniform_from_uint32(x) + + +def uniform_from_uint64(x): + return (x >> np.uint64(11)) * (1.0 / 9007199254740992.0) + + +def uniform_from_uint32(x): + out = np.empty(len(x) // 2) + for i in range(0, len(x), 2): + a = x[i] >> 5 + b = x[i + 1] >> 6 + out[i // 2] = (a * 67108864.0 + b) / 9007199254740992.0 + return out + + +def uniform_from_dsfmt(x): + return x.view(np.double) - 1.0 + + +def gauss_from_uint(x, n, bits): + if bits in (64, 63): + doubles = uniform_from_uint64(x) + elif bits == 32: + doubles = uniform_from_uint32(x) + else: # bits == 'dsfmt' + doubles = uniform_from_dsfmt(x) + gauss = [] + loc = 0 + x1 = x2 = 0.0 + while len(gauss) < n: + r2 = 2 + while r2 >= 1.0 or r2 == 0.0: + x1 = 2.0 * doubles[loc] - 1.0 + x2 = 2.0 * doubles[loc + 1] - 1.0 + r2 = x1 * x1 + x2 * x2 + loc += 2 + + f = np.sqrt(-2.0 * np.log(r2) / r2) + gauss.append(f * x2) + gauss.append(f * x1) + + return gauss[:n] + + +def test_seedsequence(): + from numpy.random.bit_generator import ( + ISeedSequence, + ISpawnableSeedSequence, + SeedlessSeedSequence, + ) + + s1 = SeedSequence(range(10), spawn_key=(1, 2), pool_size=6) + s1.spawn(10) + s2 = SeedSequence(**s1.state) + assert_equal(s1.state, s2.state) + assert_equal(s1.n_children_spawned, s2.n_children_spawned) + + # The interfaces cannot be instantiated themselves. + assert_raises(TypeError, ISeedSequence) + assert_raises(TypeError, ISpawnableSeedSequence) + dummy = SeedlessSeedSequence() + assert_raises(NotImplementedError, dummy.generate_state, 10) + assert len(dummy.spawn(10)) == 10 + + +def test_generator_spawning(): + """ Test spawning new generators and bit_generators directly. + """ + rng = np.random.default_rng() + seq = rng.bit_generator.seed_seq + new_ss = seq.spawn(5) + expected_keys = [seq.spawn_key + (i,) for i in range(5)] + assert [c.spawn_key for c in new_ss] == expected_keys + + new_bgs = rng.bit_generator.spawn(5) + expected_keys = [seq.spawn_key + (i,) for i in range(5, 10)] + assert [bg.seed_seq.spawn_key for bg in new_bgs] == expected_keys + + new_rngs = rng.spawn(5) + expected_keys = [seq.spawn_key + (i,) for i in range(10, 15)] + found_keys = [rng.bit_generator.seed_seq.spawn_key for rng in new_rngs] + assert found_keys == expected_keys + + # Sanity check that streams are actually different: + assert new_rngs[0].uniform() != new_rngs[1].uniform() + + +def test_non_spawnable(): + from numpy.random.bit_generator import ISeedSequence + + class FakeSeedSequence: + def generate_state(self, n_words, dtype=np.uint32): + return np.zeros(n_words, dtype=dtype) + + ISeedSequence.register(FakeSeedSequence) + + rng = np.random.default_rng(FakeSeedSequence()) + + with pytest.raises(TypeError, match="The underlying SeedSequence"): + rng.spawn(5) + + with pytest.raises(TypeError, match="The underlying SeedSequence"): + rng.bit_generator.spawn(5) + + +class Base: + dtype = np.uint64 + data2 = data1 = {} + + @classmethod + def setup_class(cls): + cls.bit_generator = PCG64 + cls.bits = 64 + cls.dtype = np.uint64 + cls.seed_error_type = TypeError + cls.invalid_init_types = [] + cls.invalid_init_values = [] + + @classmethod + def _read_csv(cls, filename): + with open(filename) as csv: + seed = csv.readline() + seed = seed.split(',') + seed = [int(s.strip(), 0) for s in seed[1:]] + data = [] + for line in csv: + data.append(int(line.split(',')[-1].strip(), 0)) + return {'seed': seed, 'data': np.array(data, dtype=cls.dtype)} + + def test_raw(self): + bit_generator = self.bit_generator(*self.data1['seed']) + uints = bit_generator.random_raw(1000) + assert_equal(uints, self.data1['data']) + + bit_generator = self.bit_generator(*self.data1['seed']) + uints = bit_generator.random_raw() + assert_equal(uints, self.data1['data'][0]) + + bit_generator = self.bit_generator(*self.data2['seed']) + uints = bit_generator.random_raw(1000) + assert_equal(uints, self.data2['data']) + + def test_random_raw(self): + bit_generator = self.bit_generator(*self.data1['seed']) + uints = bit_generator.random_raw(output=False) + assert uints is None + uints = bit_generator.random_raw(1000, output=False) + assert uints is None + + def test_gauss_inv(self): + n = 25 + rs = RandomState(self.bit_generator(*self.data1['seed'])) + gauss = rs.standard_normal(n) + assert_allclose(gauss, + gauss_from_uint(self.data1['data'], n, self.bits)) + + rs = RandomState(self.bit_generator(*self.data2['seed'])) + gauss = rs.standard_normal(25) + assert_allclose(gauss, + gauss_from_uint(self.data2['data'], n, self.bits)) + + def test_uniform_double(self): + rs = Generator(self.bit_generator(*self.data1['seed'])) + vals = uniform_from_uint(self.data1['data'], self.bits) + uniforms = rs.random(len(vals)) + assert_allclose(uniforms, vals) + assert_equal(uniforms.dtype, np.float64) + + rs = Generator(self.bit_generator(*self.data2['seed'])) + vals = uniform_from_uint(self.data2['data'], self.bits) + uniforms = rs.random(len(vals)) + assert_allclose(uniforms, vals) + assert_equal(uniforms.dtype, np.float64) + + def test_uniform_float(self): + rs = Generator(self.bit_generator(*self.data1['seed'])) + vals = uniform32_from_uint(self.data1['data'], self.bits) + uniforms = rs.random(len(vals), dtype=np.float32) + assert_allclose(uniforms, vals) + assert_equal(uniforms.dtype, np.float32) + + rs = Generator(self.bit_generator(*self.data2['seed'])) + vals = uniform32_from_uint(self.data2['data'], self.bits) + uniforms = rs.random(len(vals), dtype=np.float32) + assert_allclose(uniforms, vals) + assert_equal(uniforms.dtype, np.float32) + + def test_repr(self): + rs = Generator(self.bit_generator(*self.data1['seed'])) + assert 'Generator' in repr(rs) + assert f'{id(rs):#x}'.upper().replace('X', 'x') in repr(rs) + + def test_str(self): + rs = Generator(self.bit_generator(*self.data1['seed'])) + assert 'Generator' in str(rs) + assert str(self.bit_generator.__name__) in str(rs) + assert f'{id(rs):#x}'.upper().replace('X', 'x') not in str(rs) + + def test_pickle(self): + import pickle + + bit_generator = self.bit_generator(*self.data1['seed']) + state = bit_generator.state + bitgen_pkl = pickle.dumps(bit_generator) + reloaded = pickle.loads(bitgen_pkl) + reloaded_state = reloaded.state + assert_array_equal(Generator(bit_generator).standard_normal(1000), + Generator(reloaded).standard_normal(1000)) + assert bit_generator is not reloaded + assert_state_equal(reloaded_state, state) + + ss = SeedSequence(100) + aa = pickle.loads(pickle.dumps(ss)) + assert_equal(ss.state, aa.state) + + def test_pickle_preserves_seed_sequence(self): + # GH 26234 + # Add explicit test that bit generators preserve seed sequences + import pickle + + bit_generator = self.bit_generator(*self.data1['seed']) + ss = bit_generator.seed_seq + bg_plk = pickle.loads(pickle.dumps(bit_generator)) + ss_plk = bg_plk.seed_seq + assert_equal(ss.state, ss_plk.state) + assert_equal(ss.pool, ss_plk.pool) + + bit_generator.seed_seq.spawn(10) + bg_plk = pickle.loads(pickle.dumps(bit_generator)) + ss_plk = bg_plk.seed_seq + assert_equal(ss.state, ss_plk.state) + assert_equal(ss.n_children_spawned, ss_plk.n_children_spawned) + + def test_invalid_state_type(self): + bit_generator = self.bit_generator(*self.data1['seed']) + with pytest.raises(TypeError): + bit_generator.state = {'1'} + + def test_invalid_state_value(self): + bit_generator = self.bit_generator(*self.data1['seed']) + state = bit_generator.state + state['bit_generator'] = 'otherBitGenerator' + with pytest.raises(ValueError): + bit_generator.state = state + + def test_invalid_init_type(self): + bit_generator = self.bit_generator + for st in self.invalid_init_types: + with pytest.raises(TypeError): + bit_generator(*st) + + def test_invalid_init_values(self): + bit_generator = self.bit_generator + for st in self.invalid_init_values: + with pytest.raises((ValueError, OverflowError)): + bit_generator(*st) + + def test_benchmark(self): + bit_generator = self.bit_generator(*self.data1['seed']) + bit_generator._benchmark(1) + bit_generator._benchmark(1, 'double') + with pytest.raises(ValueError): + bit_generator._benchmark(1, 'int32') + + @pytest.mark.skipif(MISSING_CFFI, reason='cffi not available') + def test_cffi(self): + bit_generator = self.bit_generator(*self.data1['seed']) + cffi_interface = bit_generator.cffi + assert isinstance(cffi_interface, interface) + other_cffi_interface = bit_generator.cffi + assert other_cffi_interface is cffi_interface + + @pytest.mark.skipif(MISSING_CTYPES, reason='ctypes not available') + def test_ctypes(self): + bit_generator = self.bit_generator(*self.data1['seed']) + ctypes_interface = bit_generator.ctypes + assert isinstance(ctypes_interface, interface) + other_ctypes_interface = bit_generator.ctypes + assert other_ctypes_interface is ctypes_interface + + def test_getstate(self): + bit_generator = self.bit_generator(*self.data1['seed']) + state = bit_generator.state + alt_state = bit_generator.__getstate__() + assert isinstance(alt_state, tuple) + assert_state_equal(state, alt_state[0]) + assert isinstance(alt_state[1], SeedSequence) + +class TestPhilox(Base): + @classmethod + def setup_class(cls): + cls.bit_generator = Philox + cls.bits = 64 + cls.dtype = np.uint64 + cls.data1 = cls._read_csv( + join(pwd, './data/philox-testset-1.csv')) + cls.data2 = cls._read_csv( + join(pwd, './data/philox-testset-2.csv')) + cls.seed_error_type = TypeError + cls.invalid_init_types = [] + cls.invalid_init_values = [(1, None, 1), (-1,), (None, None, 2 ** 257 + 1)] + + def test_set_key(self): + bit_generator = self.bit_generator(*self.data1['seed']) + state = bit_generator.state + keyed = self.bit_generator(counter=state['state']['counter'], + key=state['state']['key']) + assert_state_equal(bit_generator.state, keyed.state) + + +class TestPCG64(Base): + @classmethod + def setup_class(cls): + cls.bit_generator = PCG64 + cls.bits = 64 + cls.dtype = np.uint64 + cls.data1 = cls._read_csv(join(pwd, './data/pcg64-testset-1.csv')) + cls.data2 = cls._read_csv(join(pwd, './data/pcg64-testset-2.csv')) + cls.seed_error_type = (ValueError, TypeError) + cls.invalid_init_types = [(3.2,), ([None],), (1, None)] + cls.invalid_init_values = [(-1,)] + + def test_advance_symmetry(self): + rs = Generator(self.bit_generator(*self.data1['seed'])) + state = rs.bit_generator.state + step = -0x9e3779b97f4a7c150000000000000000 + rs.bit_generator.advance(step) + val_neg = rs.integers(10) + rs.bit_generator.state = state + rs.bit_generator.advance(2**128 + step) + val_pos = rs.integers(10) + rs.bit_generator.state = state + rs.bit_generator.advance(10 * 2**128 + step) + val_big = rs.integers(10) + assert val_neg == val_pos + assert val_big == val_pos + + def test_advange_large(self): + rs = Generator(self.bit_generator(38219308213743)) + pcg = rs.bit_generator + state = pcg.state["state"] + initial_state = 287608843259529770491897792873167516365 + assert state["state"] == initial_state + pcg.advance(sum(2**i for i in (96, 64, 32, 16, 8, 4, 2, 1))) + state = pcg.state["state"] + advanced_state = 135275564607035429730177404003164635391 + assert state["state"] == advanced_state + + +class TestPCG64DXSM(Base): + @classmethod + def setup_class(cls): + cls.bit_generator = PCG64DXSM + cls.bits = 64 + cls.dtype = np.uint64 + cls.data1 = cls._read_csv(join(pwd, './data/pcg64dxsm-testset-1.csv')) + cls.data2 = cls._read_csv(join(pwd, './data/pcg64dxsm-testset-2.csv')) + cls.seed_error_type = (ValueError, TypeError) + cls.invalid_init_types = [(3.2,), ([None],), (1, None)] + cls.invalid_init_values = [(-1,)] + + def test_advance_symmetry(self): + rs = Generator(self.bit_generator(*self.data1['seed'])) + state = rs.bit_generator.state + step = -0x9e3779b97f4a7c150000000000000000 + rs.bit_generator.advance(step) + val_neg = rs.integers(10) + rs.bit_generator.state = state + rs.bit_generator.advance(2**128 + step) + val_pos = rs.integers(10) + rs.bit_generator.state = state + rs.bit_generator.advance(10 * 2**128 + step) + val_big = rs.integers(10) + assert val_neg == val_pos + assert val_big == val_pos + + def test_advange_large(self): + rs = Generator(self.bit_generator(38219308213743)) + pcg = rs.bit_generator + state = pcg.state + initial_state = 287608843259529770491897792873167516365 + assert state["state"]["state"] == initial_state + pcg.advance(sum(2**i for i in (96, 64, 32, 16, 8, 4, 2, 1))) + state = pcg.state["state"] + advanced_state = 277778083536782149546677086420637664879 + assert state["state"] == advanced_state + + +class TestMT19937(Base): + @classmethod + def setup_class(cls): + cls.bit_generator = MT19937 + cls.bits = 32 + cls.dtype = np.uint32 + cls.data1 = cls._read_csv(join(pwd, './data/mt19937-testset-1.csv')) + cls.data2 = cls._read_csv(join(pwd, './data/mt19937-testset-2.csv')) + cls.seed_error_type = ValueError + cls.invalid_init_types = [] + cls.invalid_init_values = [(-1,)] + + def test_seed_float_array(self): + assert_raises(TypeError, self.bit_generator, np.array([np.pi])) + assert_raises(TypeError, self.bit_generator, np.array([-np.pi])) + assert_raises(TypeError, self.bit_generator, np.array([np.pi, -np.pi])) + assert_raises(TypeError, self.bit_generator, np.array([0, np.pi])) + assert_raises(TypeError, self.bit_generator, [np.pi]) + assert_raises(TypeError, self.bit_generator, [0, np.pi]) + + def test_state_tuple(self): + rs = Generator(self.bit_generator(*self.data1['seed'])) + bit_generator = rs.bit_generator + state = bit_generator.state + desired = rs.integers(2 ** 16) + tup = (state['bit_generator'], state['state']['key'], + state['state']['pos']) + bit_generator.state = tup + actual = rs.integers(2 ** 16) + assert_equal(actual, desired) + tup = tup + (0, 0.0) + bit_generator.state = tup + actual = rs.integers(2 ** 16) + assert_equal(actual, desired) + + +class TestSFC64(Base): + @classmethod + def setup_class(cls): + cls.bit_generator = SFC64 + cls.bits = 64 + cls.dtype = np.uint64 + cls.data1 = cls._read_csv( + join(pwd, './data/sfc64-testset-1.csv')) + cls.data2 = cls._read_csv( + join(pwd, './data/sfc64-testset-2.csv')) + cls.seed_error_type = (ValueError, TypeError) + cls.invalid_init_types = [(3.2,), ([None],), (1, None)] + cls.invalid_init_values = [(-1,)] + + def test_legacy_pickle(self): + # Pickling format was changed in 2.0.x + import gzip + import pickle + + expected_state = np.array( + [ + 9957867060933711493, + 532597980065565856, + 14769588338631205282, + 13 + ], + dtype=np.uint64 + ) + + base_path = os.path.split(os.path.abspath(__file__))[0] + pkl_file = os.path.join(base_path, "data", "sfc64_np126.pkl.gz") + with gzip.open(pkl_file) as gz: + sfc = pickle.load(gz) + + assert isinstance(sfc, SFC64) + assert_equal(sfc.state["state"]["state"], expected_state) + + +class TestDefaultRNG: + def test_seed(self): + for args in [(), (None,), (1234,), ([1234, 5678],)]: + rg = default_rng(*args) + assert isinstance(rg.bit_generator, PCG64) + + def test_passthrough(self): + bg = Philox() + rg = default_rng(bg) + assert rg.bit_generator is bg + rg2 = default_rng(rg) + assert rg2 is rg + assert rg2.bit_generator is bg + + @pytest.mark.thread_unsafe( + reason="np.random.set_bit_generator affects global state" + ) + def test_coercion_RandomState_Generator(self): + # use default_rng to coerce RandomState to Generator + rs = RandomState(1234) + rg = default_rng(rs) + assert isinstance(rg.bit_generator, MT19937) + assert rg.bit_generator is rs._bit_generator + + # RandomState with a non MT19937 bit generator + _original = np.random.get_bit_generator() + bg = PCG64(12342298) + np.random.set_bit_generator(bg) + rs = np.random.mtrand._rand + rg = default_rng(rs) + assert rg.bit_generator is bg + + # vital to get global state back to original, otherwise + # other tests start to fail. + np.random.set_bit_generator(_original) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_extending.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_extending.py new file mode 100644 index 0000000000000000000000000000000000000000..a1e64ecbe343d88bc9678d16387dc13493672009 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_extending.py @@ -0,0 +1,131 @@ +import os +import shutil +import subprocess +import sys +import sysconfig +import warnings +from importlib.util import module_from_spec, spec_from_file_location + +import pytest + +import numpy as np +from numpy.testing import IS_EDITABLE, IS_WASM + +try: + import cffi +except ImportError: + cffi = None + +if sys.flags.optimize > 1: + # no docstrings present to inspect when PYTHONOPTIMIZE/Py_OptimizeFlag > 1 + # cffi cannot succeed + cffi = None + +try: + with warnings.catch_warnings(record=True) as w: + # numba issue gh-4733 + warnings.filterwarnings('always', '', DeprecationWarning) + import numba +except (ImportError, SystemError): + # Certain numpy/numba versions trigger a SystemError due to a numba bug + numba = None + +try: + import cython + from Cython.Compiler.Version import version as cython_version +except ImportError: + cython = None +else: + from numpy._utils import _pep440 + # Note: keep in sync with the one in pyproject.toml + required_version = '3.0.6' + if _pep440.parse(cython_version) < _pep440.Version(required_version): + # too old or wrong cython, skip the test + cython = None + + +@pytest.mark.skipif( + IS_EDITABLE, + reason='Editable install cannot find .pxd headers' +) +@pytest.mark.skipif( + sys.platform == "win32" and sys.maxsize < 2**32, + reason="Failing in 32-bit Windows wheel build job, skip for now" +) +@pytest.mark.skipif(IS_WASM, reason="Can't start subprocess") +@pytest.mark.skipif(cython is None, reason="requires cython") +@pytest.mark.skipif(sysconfig.get_platform() == 'win-arm64', + reason='Meson unable to find MSVC linker on win-arm64') +@pytest.mark.slow +@pytest.mark.thread_unsafe( + reason="building cython code in a subprocess doesn't make sense to do in many " + "threads and sometimes crashes" +) +def test_cython(tmp_path): + import glob + # build the examples in a temporary directory + srcdir = os.path.join(os.path.dirname(__file__), '..') + shutil.copytree(srcdir, tmp_path / 'random') + build_dir = tmp_path / 'random' / '_examples' / 'cython' + target_dir = build_dir / "build" + os.makedirs(target_dir, exist_ok=True) + # Ensure we use the correct Python interpreter even when `meson` is + # installed in a different Python environment (see gh-24956) + native_file = str(build_dir / 'interpreter-native-file.ini') + with open(native_file, 'w') as f: + f.write("[binaries]\n") + f.write(f"python = '{sys.executable}'\n") + f.write(f"python3 = '{sys.executable}'") + if sys.platform == "win32": + subprocess.check_call(["meson", "setup", + "--buildtype=release", + "--vsenv", "--native-file", native_file, + str(build_dir)], + cwd=target_dir, + ) + else: + subprocess.check_call(["meson", "setup", + "--native-file", native_file, str(build_dir)], + cwd=target_dir + ) + subprocess.check_call(["meson", "compile", "-vv"], cwd=target_dir) + + # gh-16162: make sure numpy's __init__.pxd was used for cython + # not really part of this test, but it is a convenient place to check + + g = glob.glob(str(target_dir / "*" / "extending.pyx.c")) + with open(g[0]) as fid: + txt_to_find = 'NumPy API declarations from "numpy/__init__' + for line in fid: + if txt_to_find in line: + break + else: + assert False, f"Could not find '{txt_to_find}' in C file, wrong pxd used" + # import without adding the directory to sys.path + suffix = sysconfig.get_config_var('EXT_SUFFIX') + + def load(modname): + so = (target_dir / modname).with_suffix(suffix) + spec = spec_from_file_location(modname, so) + mod = module_from_spec(spec) + spec.loader.exec_module(mod) + return mod + + # test that the module can be imported + load("extending") + load("extending_cpp") + # actually test the cython c-extension + extending_distributions = load("extending_distributions") + from numpy.random import PCG64 + values = extending_distributions.uniforms_ex(PCG64(0), 10, 'd') + assert values.shape == (10,) + assert values.dtype == np.float64 + +@pytest.mark.skipif(numba is None or cffi is None, + reason="requires numba and cffi") +def test_numba(): + from numpy.random._examples.numba import extending # noqa: F401 + +@pytest.mark.skipif(cffi is None, reason="requires cffi") +def test_cffi(): + from numpy.random._examples.cffi import extending # noqa: F401 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_generator_mt19937.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_generator_mt19937.py new file mode 100644 index 0000000000000000000000000000000000000000..7d13c49149b36cfa81bb099137ff72ad89dc461f --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_generator_mt19937.py @@ -0,0 +1,2825 @@ +import hashlib +import os.path +import sys +import warnings + +import pytest + +import numpy as np +from numpy.exceptions import AxisError +from numpy.linalg import LinAlgError +from numpy.random import MT19937, Generator, RandomState, SeedSequence +from numpy.testing import ( + IS_WASM, + assert_, + assert_allclose, + assert_array_almost_equal, + assert_array_equal, + assert_equal, + assert_no_warnings, + assert_raises, +) + +random = Generator(MT19937()) + +JUMP_TEST_DATA = [ + { + "seed": 0, + "steps": 10, + "initial": {"key_sha256": "bb1636883c2707b51c5b7fc26c6927af4430f2e0785a8c7bc886337f919f9edf", "pos": 9}, # noqa: E501 + "jumped": {"key_sha256": "ff682ac12bb140f2d72fba8d3506cf4e46817a0db27aae1683867629031d8d55", "pos": 598}, # noqa: E501 + }, + { + "seed": 384908324, + "steps": 312, + "initial": {"key_sha256": "16b791a1e04886ccbbb4d448d6ff791267dc458ae599475d08d5cced29d11614", "pos": 311}, # noqa: E501 + "jumped": {"key_sha256": "a0110a2cf23b56be0feaed8f787a7fc84bef0cb5623003d75b26bdfa1c18002c", "pos": 276}, # noqa: E501 + }, + { + "seed": [839438204, 980239840, 859048019, 821], + "steps": 511, + "initial": {"key_sha256": "d306cf01314d51bd37892d874308200951a35265ede54d200f1e065004c3e9ea", "pos": 510}, # noqa: E501 + "jumped": {"key_sha256": "0e00ab449f01a5195a83b4aee0dfbc2ce8d46466a640b92e33977d2e42f777f8", "pos": 475}, # noqa: E501 + }, +] + + +@pytest.fixture(scope='module', params=[True, False]) +def endpoint(request): + return request.param + + +class TestSeed: + def test_scalar(self): + s = Generator(MT19937(0)) + assert_equal(s.integers(1000), 479) + s = Generator(MT19937(4294967295)) + assert_equal(s.integers(1000), 324) + + def test_array(self): + s = Generator(MT19937(range(10))) + assert_equal(s.integers(1000), 465) + s = Generator(MT19937(np.arange(10))) + assert_equal(s.integers(1000), 465) + s = Generator(MT19937([0])) + assert_equal(s.integers(1000), 479) + s = Generator(MT19937([4294967295])) + assert_equal(s.integers(1000), 324) + + def test_seedsequence(self): + s = MT19937(SeedSequence(0)) + assert_equal(s.random_raw(1), 2058676884) + + def test_invalid_scalar(self): + # seed must be an unsigned 32 bit integer + assert_raises(TypeError, MT19937, -0.5) + assert_raises(ValueError, MT19937, -1) + + def test_invalid_array(self): + # seed must be an unsigned integer + assert_raises(TypeError, MT19937, [-0.5]) + assert_raises(ValueError, MT19937, [-1]) + assert_raises(ValueError, MT19937, [1, -2, 4294967296]) + + def test_noninstantized_bitgen(self): + assert_raises(ValueError, Generator, MT19937) + + +class TestBinomial: + def test_n_zero(self): + # Tests the corner case of n == 0 for the binomial distribution. + # binomial(0, p) should be zero for any p in [0, 1]. + # This test addresses issue #3480. + zeros = np.zeros(2, dtype='int') + for p in [0, .5, 1]: + assert_(random.binomial(0, p) == 0) + assert_array_equal(random.binomial(zeros, p), zeros) + + def test_p_is_nan(self): + # Issue #4571. + assert_raises(ValueError, random.binomial, 1, np.nan) + + def test_p_extremely_small(self): + n = 50000000000 + p = 5e-17 + sample_size = 20000000 + x = random.binomial(n, p, size=sample_size) + sample_mean = x.mean() + expected_mean = n * p + sigma = np.sqrt(n * p * (1 - p) / sample_size) + # Note: the parameters were chosen so that expected_mean - 6*sigma + # is a positive value. The first `assert` below validates that + # assumption (in case someone edits the parameters in the future). + # The second `assert` is the actual test. + low_bound = expected_mean - 6 * sigma + assert low_bound > 0, "bad test params: 6-sigma lower bound is negative" + test_msg = (f"sample mean {sample_mean} deviates from the expected mean " + f"{expected_mean} by more than 6*sigma") + assert abs(expected_mean - sample_mean) < 6 * sigma, test_msg + + +class TestMultinomial: + def test_basic(self): + random.multinomial(100, [0.2, 0.8]) + + def test_zero_probability(self): + random.multinomial(100, [0.2, 0.8, 0.0, 0.0, 0.0]) + + def test_int_negative_interval(self): + assert_(-5 <= random.integers(-5, -1) < -1) + x = random.integers(-5, -1, 5) + assert_(np.all(-5 <= x)) + assert_(np.all(x < -1)) + + def test_size(self): + # gh-3173 + p = [0.5, 0.5] + assert_equal(random.multinomial(1, p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.multinomial(1, p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.multinomial(1, p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.multinomial(1, p, [2, 2]).shape, (2, 2, 2)) + assert_equal(random.multinomial(1, p, (2, 2)).shape, (2, 2, 2)) + assert_equal(random.multinomial(1, p, np.array((2, 2))).shape, + (2, 2, 2)) + + assert_raises(TypeError, random.multinomial, 1, p, + float(1)) + + def test_invalid_prob(self): + assert_raises(ValueError, random.multinomial, 100, [1.1, 0.2]) + assert_raises(ValueError, random.multinomial, 100, [-.1, 0.9]) + + def test_invalid_n(self): + assert_raises(ValueError, random.multinomial, -1, [0.8, 0.2]) + assert_raises(ValueError, random.multinomial, [-1] * 10, [0.8, 0.2]) + + def test_p_non_contiguous(self): + p = np.arange(15.) + p /= np.sum(p[1::3]) + pvals = p[1::3] + random = Generator(MT19937(1432985819)) + non_contig = random.multinomial(100, pvals=pvals) + random = Generator(MT19937(1432985819)) + contig = random.multinomial(100, pvals=np.ascontiguousarray(pvals)) + assert_array_equal(non_contig, contig) + + def test_multinomial_pvals_float32(self): + x = np.array([9.9e-01, 9.9e-01, 1.0e-09, 1.0e-09, 1.0e-09, 1.0e-09, + 1.0e-09, 1.0e-09, 1.0e-09, 1.0e-09], dtype=np.float32) + pvals = x / x.sum() + random = Generator(MT19937(1432985819)) + match = r"[\w\s]*pvals array is cast to 64-bit floating" + with pytest.raises(ValueError, match=match): + random.multinomial(1, pvals) + + +class TestMultivariateHypergeometric: + + seed = 8675309 + + def test_argument_validation(self): + # Error cases... + + # `colors` must be a 1-d sequence + assert_raises(ValueError, random.multivariate_hypergeometric, + 10, 4) + + # Negative nsample + assert_raises(ValueError, random.multivariate_hypergeometric, + [2, 3, 4], -1) + + # Negative color + assert_raises(ValueError, random.multivariate_hypergeometric, + [-1, 2, 3], 2) + + # nsample exceeds sum(colors) + assert_raises(ValueError, random.multivariate_hypergeometric, + [2, 3, 4], 10) + + # nsample exceeds sum(colors) (edge case of empty colors) + assert_raises(ValueError, random.multivariate_hypergeometric, + [], 1) + + # Validation errors associated with very large values in colors. + assert_raises(ValueError, random.multivariate_hypergeometric, + [999999999, 101], 5, 1, 'marginals') + + int64_info = np.iinfo(np.int64) + max_int64 = int64_info.max + max_int64_index = max_int64 // int64_info.dtype.itemsize + assert_raises(ValueError, random.multivariate_hypergeometric, + [max_int64_index - 100, 101], 5, 1, 'count') + + @pytest.mark.parametrize('method', ['count', 'marginals']) + def test_edge_cases(self, method): + # Set the seed, but in fact, all the results in this test are + # deterministic, so we don't really need this. + random = Generator(MT19937(self.seed)) + + x = random.multivariate_hypergeometric([0, 0, 0], 0, method=method) + assert_array_equal(x, [0, 0, 0]) + + x = random.multivariate_hypergeometric([], 0, method=method) + assert_array_equal(x, []) + + x = random.multivariate_hypergeometric([], 0, size=1, method=method) + assert_array_equal(x, np.empty((1, 0), dtype=np.int64)) + + x = random.multivariate_hypergeometric([1, 2, 3], 0, method=method) + assert_array_equal(x, [0, 0, 0]) + + x = random.multivariate_hypergeometric([9, 0, 0], 3, method=method) + assert_array_equal(x, [3, 0, 0]) + + colors = [1, 1, 0, 1, 1] + x = random.multivariate_hypergeometric(colors, sum(colors), + method=method) + assert_array_equal(x, colors) + + x = random.multivariate_hypergeometric([3, 4, 5], 12, size=3, + method=method) + assert_array_equal(x, [[3, 4, 5]] * 3) + + # Cases for nsample: + # nsample < 10 + # 10 <= nsample < colors.sum()/2 + # colors.sum()/2 < nsample < colors.sum() - 10 + # colors.sum() - 10 < nsample < colors.sum() + @pytest.mark.parametrize('nsample', [8, 25, 45, 55]) + @pytest.mark.parametrize('method', ['count', 'marginals']) + @pytest.mark.parametrize('size', [5, (2, 3), 150000]) + def test_typical_cases(self, nsample, method, size): + random = Generator(MT19937(self.seed)) + + colors = np.array([10, 5, 20, 25]) + sample = random.multivariate_hypergeometric(colors, nsample, size, + method=method) + if isinstance(size, int): + expected_shape = (size,) + colors.shape + else: + expected_shape = size + colors.shape + assert_equal(sample.shape, expected_shape) + assert_((sample >= 0).all()) + assert_((sample <= colors).all()) + assert_array_equal(sample.sum(axis=-1), + np.full(size, fill_value=nsample, dtype=int)) + if isinstance(size, int) and size >= 100000: + # This sample is large enough to compare its mean to + # the expected values. + assert_allclose(sample.mean(axis=0), + nsample * colors / colors.sum(), + rtol=1e-3, atol=0.005) + + def test_repeatability1(self): + random = Generator(MT19937(self.seed)) + sample = random.multivariate_hypergeometric([3, 4, 5], 5, size=5, + method='count') + expected = np.array([[2, 1, 2], + [2, 1, 2], + [1, 1, 3], + [2, 0, 3], + [2, 1, 2]]) + assert_array_equal(sample, expected) + + def test_repeatability2(self): + random = Generator(MT19937(self.seed)) + sample = random.multivariate_hypergeometric([20, 30, 50], 50, + size=5, + method='marginals') + expected = np.array([[ 9, 17, 24], + [ 7, 13, 30], + [ 9, 15, 26], + [ 9, 17, 24], + [12, 14, 24]]) + assert_array_equal(sample, expected) + + def test_repeatability3(self): + random = Generator(MT19937(self.seed)) + sample = random.multivariate_hypergeometric([20, 30, 50], 12, + size=5, + method='marginals') + expected = np.array([[2, 3, 7], + [5, 3, 4], + [2, 5, 5], + [5, 3, 4], + [1, 5, 6]]) + assert_array_equal(sample, expected) + + +class TestSetState: + def _create_rng(self): + seed = 1234567890 + rg = Generator(MT19937(seed)) + bit_generator = rg.bit_generator + state = bit_generator.state + legacy_state = (state['bit_generator'], + state['state']['key'], + state['state']['pos']) + return rg, bit_generator, state + + def test_gaussian_reset(self): + # Make sure the cached every-other-Gaussian is reset. + rg, bit_generator, state = self._create_rng() + old = rg.standard_normal(size=3) + bit_generator.state = state + new = rg.standard_normal(size=3) + assert_(np.all(old == new)) + + def test_gaussian_reset_in_media_res(self): + # When the state is saved with a cached Gaussian, make sure the + # cached Gaussian is restored. + rg, bit_generator, state = self._create_rng() + rg.standard_normal() + state = bit_generator.state + old = rg.standard_normal(size=3) + bit_generator.state = state + new = rg.standard_normal(size=3) + assert_(np.all(old == new)) + + def test_negative_binomial(self): + # Ensure that the negative binomial results take floating point + # arguments without truncation. + rg, _, _ = self._create_rng() + rg.negative_binomial(0.5, 0.5) + + +class TestIntegers: + rfunc = random.integers + + # valid integer/boolean types + itype = [bool, np.int8, np.uint8, np.int16, np.uint16, + np.int32, np.uint32, np.int64, np.uint64] + + def test_unsupported_type(self, endpoint): + assert_raises(TypeError, self.rfunc, 1, endpoint=endpoint, dtype=float) + + def test_bounds_checking(self, endpoint): + for dt in self.itype: + lbnd = 0 if dt is bool else np.iinfo(dt).min + ubnd = 2 if dt is bool else np.iinfo(dt).max + 1 + ubnd = ubnd - 1 if endpoint else ubnd + assert_raises(ValueError, self.rfunc, lbnd - 1, ubnd, + endpoint=endpoint, dtype=dt) + assert_raises(ValueError, self.rfunc, lbnd, ubnd + 1, + endpoint=endpoint, dtype=dt) + assert_raises(ValueError, self.rfunc, ubnd, lbnd, + endpoint=endpoint, dtype=dt) + assert_raises(ValueError, self.rfunc, 1, 0, endpoint=endpoint, + dtype=dt) + + assert_raises(ValueError, self.rfunc, [lbnd - 1], ubnd, + endpoint=endpoint, dtype=dt) + assert_raises(ValueError, self.rfunc, [lbnd], [ubnd + 1], + endpoint=endpoint, dtype=dt) + assert_raises(ValueError, self.rfunc, [ubnd], [lbnd], + endpoint=endpoint, dtype=dt) + assert_raises(ValueError, self.rfunc, 1, [0], + endpoint=endpoint, dtype=dt) + assert_raises(ValueError, self.rfunc, [ubnd + 1], [ubnd], + endpoint=endpoint, dtype=dt) + + def test_bounds_checking_array(self, endpoint): + for dt in self.itype: + lbnd = 0 if dt is bool else np.iinfo(dt).min + ubnd = 2 if dt is bool else np.iinfo(dt).max + (not endpoint) + + assert_raises(ValueError, self.rfunc, [lbnd - 1] * 2, [ubnd] * 2, + endpoint=endpoint, dtype=dt) + assert_raises(ValueError, self.rfunc, [lbnd] * 2, + [ubnd + 1] * 2, endpoint=endpoint, dtype=dt) + assert_raises(ValueError, self.rfunc, ubnd, [lbnd] * 2, + endpoint=endpoint, dtype=dt) + assert_raises(ValueError, self.rfunc, [1] * 2, 0, + endpoint=endpoint, dtype=dt) + + def test_rng_zero_and_extremes(self, endpoint): + for dt in self.itype: + lbnd = 0 if dt is bool else np.iinfo(dt).min + ubnd = 2 if dt is bool else np.iinfo(dt).max + 1 + ubnd = ubnd - 1 if endpoint else ubnd + is_open = not endpoint + + tgt = ubnd - 1 + assert_equal(self.rfunc(tgt, tgt + is_open, size=1000, + endpoint=endpoint, dtype=dt), tgt) + assert_equal(self.rfunc([tgt], tgt + is_open, size=1000, + endpoint=endpoint, dtype=dt), tgt) + + tgt = lbnd + assert_equal(self.rfunc(tgt, tgt + is_open, size=1000, + endpoint=endpoint, dtype=dt), tgt) + assert_equal(self.rfunc(tgt, [tgt + is_open], size=1000, + endpoint=endpoint, dtype=dt), tgt) + + tgt = (lbnd + ubnd) // 2 + assert_equal(self.rfunc(tgt, tgt + is_open, size=1000, + endpoint=endpoint, dtype=dt), tgt) + assert_equal(self.rfunc([tgt], [tgt + is_open], + size=1000, endpoint=endpoint, dtype=dt), + tgt) + + def test_rng_zero_and_extremes_array(self, endpoint): + size = 1000 + for dt in self.itype: + lbnd = 0 if dt is bool else np.iinfo(dt).min + ubnd = 2 if dt is bool else np.iinfo(dt).max + 1 + ubnd = ubnd - 1 if endpoint else ubnd + + tgt = ubnd - 1 + assert_equal(self.rfunc([tgt], [tgt + 1], + size=size, dtype=dt), tgt) + assert_equal(self.rfunc( + [tgt] * size, [tgt + 1] * size, dtype=dt), tgt) + assert_equal(self.rfunc( + [tgt] * size, [tgt + 1] * size, size=size, dtype=dt), tgt) + + tgt = lbnd + assert_equal(self.rfunc([tgt], [tgt + 1], + size=size, dtype=dt), tgt) + assert_equal(self.rfunc( + [tgt] * size, [tgt + 1] * size, dtype=dt), tgt) + assert_equal(self.rfunc( + [tgt] * size, [tgt + 1] * size, size=size, dtype=dt), tgt) + + tgt = (lbnd + ubnd) // 2 + assert_equal(self.rfunc([tgt], [tgt + 1], + size=size, dtype=dt), tgt) + assert_equal(self.rfunc( + [tgt] * size, [tgt + 1] * size, dtype=dt), tgt) + assert_equal(self.rfunc( + [tgt] * size, [tgt + 1] * size, size=size, dtype=dt), tgt) + + def test_full_range(self, endpoint): + # Test for ticket #1690 + + for dt in self.itype: + lbnd = 0 if dt is bool else np.iinfo(dt).min + ubnd = 2 if dt is bool else np.iinfo(dt).max + 1 + ubnd = ubnd - 1 if endpoint else ubnd + + try: + self.rfunc(lbnd, ubnd, endpoint=endpoint, dtype=dt) + except Exception as e: + raise AssertionError("No error should have been raised, " + "but one was with the following " + "message:\n\n%s" % str(e)) + + def test_full_range_array(self, endpoint): + # Test for ticket #1690 + + for dt in self.itype: + lbnd = 0 if dt is bool else np.iinfo(dt).min + ubnd = 2 if dt is bool else np.iinfo(dt).max + 1 + ubnd = ubnd - 1 if endpoint else ubnd + + try: + self.rfunc([lbnd] * 2, [ubnd], endpoint=endpoint, dtype=dt) + except Exception as e: + raise AssertionError("No error should have been raised, " + "but one was with the following " + "message:\n\n%s" % str(e)) + + def test_in_bounds_fuzz(self, endpoint): + # Don't use fixed seed + random = Generator(MT19937()) + + for dt in self.itype[1:]: + for ubnd in [4, 8, 16]: + vals = self.rfunc(2, ubnd - endpoint, size=2 ** 16, + endpoint=endpoint, dtype=dt) + assert_(vals.max() < ubnd) + assert_(vals.min() >= 2) + + vals = self.rfunc(0, 2 - endpoint, size=2 ** 16, endpoint=endpoint, + dtype=bool) + assert_(vals.max() < 2) + assert_(vals.min() >= 0) + + def test_scalar_array_equiv(self, endpoint): + for dt in self.itype: + lbnd = 0 if dt is bool else np.iinfo(dt).min + ubnd = 2 if dt is bool else np.iinfo(dt).max + 1 + ubnd = ubnd - 1 if endpoint else ubnd + + size = 1000 + random = Generator(MT19937(1234)) + scalar = random.integers(lbnd, ubnd, size=size, endpoint=endpoint, + dtype=dt) + + random = Generator(MT19937(1234)) + scalar_array = random.integers([lbnd], [ubnd], size=size, + endpoint=endpoint, dtype=dt) + + random = Generator(MT19937(1234)) + array = random.integers([lbnd] * size, [ubnd] * + size, size=size, endpoint=endpoint, dtype=dt) + assert_array_equal(scalar, scalar_array) + assert_array_equal(scalar, array) + + def test_repeatability(self, endpoint): + # We use a sha256 hash of generated sequences of 1000 samples + # in the range [0, 6) for all but bool, where the range + # is [0, 2). Hashes are for little endian numbers. + tgt = {'bool': '053594a9b82d656f967c54869bc6970aa0358cf94ad469c81478459c6a90eee3', # noqa: E501 + 'int16': '54de9072b6ee9ff7f20b58329556a46a447a8a29d67db51201bf88baa6e4e5d4', # noqa: E501 + 'int32': 'd3a0d5efb04542b25ac712e50d21f39ac30f312a5052e9bbb1ad3baa791ac84b', # noqa: E501 + 'int64': '14e224389ac4580bfbdccb5697d6190b496f91227cf67df60989de3d546389b1', # noqa: E501 + 'int8': '0e203226ff3fbbd1580f15da4621e5f7164d0d8d6b51696dd42d004ece2cbec1', # noqa: E501 + 'uint16': '54de9072b6ee9ff7f20b58329556a46a447a8a29d67db51201bf88baa6e4e5d4', # noqa: E501 + 'uint32': 'd3a0d5efb04542b25ac712e50d21f39ac30f312a5052e9bbb1ad3baa791ac84b', # noqa: E501 + 'uint64': '14e224389ac4580bfbdccb5697d6190b496f91227cf67df60989de3d546389b1', # noqa: E501 + 'uint8': '0e203226ff3fbbd1580f15da4621e5f7164d0d8d6b51696dd42d004ece2cbec1'} # noqa: E501 + + for dt in self.itype[1:]: + random = Generator(MT19937(1234)) + + # view as little endian for hash + if sys.byteorder == 'little': + val = random.integers(0, 6 - endpoint, size=1000, endpoint=endpoint, + dtype=dt) + else: + val = random.integers(0, 6 - endpoint, size=1000, endpoint=endpoint, + dtype=dt).byteswap() + + res = hashlib.sha256(val).hexdigest() + assert_(tgt[np.dtype(dt).name] == res) + + # bools do not depend on endianness + random = Generator(MT19937(1234)) + val = random.integers(0, 2 - endpoint, size=1000, endpoint=endpoint, + dtype=bool).view(np.int8) + res = hashlib.sha256(val).hexdigest() + assert_(tgt[np.dtype(bool).name] == res) + + def test_repeatability_broadcasting(self, endpoint): + for dt in self.itype: + lbnd = 0 if dt in (bool, np.bool) else np.iinfo(dt).min + ubnd = 2 if dt in (bool, np.bool) else np.iinfo(dt).max + 1 + ubnd = ubnd - 1 if endpoint else ubnd + + # view as little endian for hash + random = Generator(MT19937(1234)) + val = random.integers(lbnd, ubnd, size=1000, endpoint=endpoint, + dtype=dt) + + random = Generator(MT19937(1234)) + val_bc = random.integers([lbnd] * 1000, ubnd, endpoint=endpoint, + dtype=dt) + + assert_array_equal(val, val_bc) + + random = Generator(MT19937(1234)) + val_bc = random.integers([lbnd] * 1000, [ubnd] * 1000, + endpoint=endpoint, dtype=dt) + + assert_array_equal(val, val_bc) + + @pytest.mark.parametrize( + 'bound, expected', + [(2**32 - 1, np.array([517043486, 1364798665, 1733884389, 1353720612, + 3769704066, 1170797179, 4108474671])), + (2**32, np.array([517043487, 1364798666, 1733884390, 1353720613, + 3769704067, 1170797180, 4108474672])), + (2**32 + 1, np.array([517043487, 1733884390, 3769704068, 4108474673, + 1831631863, 1215661561, 3869512430]))] + ) + def test_repeatability_32bit_boundary(self, bound, expected): + for size in [None, len(expected)]: + random = Generator(MT19937(1234)) + x = random.integers(bound, size=size) + assert_equal(x, expected if size is not None else expected[0]) + + def test_repeatability_32bit_boundary_broadcasting(self): + desired = np.array([[[1622936284, 3620788691, 1659384060], + [1417365545, 760222891, 1909653332], + [3788118662, 660249498, 4092002593]], + [[3625610153, 2979601262, 3844162757], + [ 685800658, 120261497, 2694012896], + [1207779440, 1586594375, 3854335050]], + [[3004074748, 2310761796, 3012642217], + [2067714190, 2786677879, 1363865881], + [ 791663441, 1867303284, 2169727960]], + [[1939603804, 1250951100, 298950036], + [1040128489, 3791912209, 3317053765], + [3155528714, 61360675, 2305155588]], + [[ 817688762, 1335621943, 3288952434], + [1770890872, 1102951817, 1957607470], + [3099996017, 798043451, 48334215]]]) + for size in [None, (5, 3, 3)]: + random = Generator(MT19937(12345)) + x = random.integers([[-1], [0], [1]], + [2**32 - 1, 2**32, 2**32 + 1], + size=size) + assert_array_equal(x, desired if size is not None else desired[0]) + + def test_int64_uint64_broadcast_exceptions(self, endpoint): + configs = {np.uint64: ((0, 2**65), (-1, 2**62), (10, 9), (0, 0)), + np.int64: ((0, 2**64), (-(2**64), 2**62), (10, 9), (0, 0), + (-2**63 - 1, -2**63 - 1))} + for dtype in configs: + for config in configs[dtype]: + low, high = config + high = high - endpoint + low_a = np.array([[low] * 10]) + high_a = np.array([high] * 10) + assert_raises(ValueError, random.integers, low, high, + endpoint=endpoint, dtype=dtype) + assert_raises(ValueError, random.integers, low_a, high, + endpoint=endpoint, dtype=dtype) + assert_raises(ValueError, random.integers, low, high_a, + endpoint=endpoint, dtype=dtype) + assert_raises(ValueError, random.integers, low_a, high_a, + endpoint=endpoint, dtype=dtype) + + low_o = np.array([[low] * 10], dtype=object) + high_o = np.array([high] * 10, dtype=object) + assert_raises(ValueError, random.integers, low_o, high, + endpoint=endpoint, dtype=dtype) + assert_raises(ValueError, random.integers, low, high_o, + endpoint=endpoint, dtype=dtype) + assert_raises(ValueError, random.integers, low_o, high_o, + endpoint=endpoint, dtype=dtype) + + def test_int64_uint64_corner_case(self, endpoint): + # When stored in Numpy arrays, `lbnd` is casted + # as np.int64, and `ubnd` is casted as np.uint64. + # Checking whether `lbnd` >= `ubnd` used to be + # done solely via direct comparison, which is incorrect + # because when Numpy tries to compare both numbers, + # it casts both to np.float64 because there is + # no integer superset of np.int64 and np.uint64. However, + # `ubnd` is too large to be represented in np.float64, + # causing it be round down to np.iinfo(np.int64).max, + # leading to a ValueError because `lbnd` now equals + # the new `ubnd`. + + dt = np.int64 + tgt = np.iinfo(np.int64).max + lbnd = np.int64(np.iinfo(np.int64).max) + ubnd = np.uint64(np.iinfo(np.int64).max + 1 - endpoint) + + # None of these function calls should + # generate a ValueError now. + actual = random.integers(lbnd, ubnd, endpoint=endpoint, dtype=dt) + assert_equal(actual, tgt) + + def test_respect_dtype_singleton(self, endpoint): + # See gh-7203 + for dt in self.itype: + lbnd = 0 if dt is bool else np.iinfo(dt).min + ubnd = 2 if dt is bool else np.iinfo(dt).max + 1 + ubnd = ubnd - 1 if endpoint else ubnd + dt = np.bool if dt is bool else dt + + sample = self.rfunc(lbnd, ubnd, endpoint=endpoint, dtype=dt) + assert_equal(sample.dtype, dt) + + for dt in (bool, int): + lbnd = 0 if dt is bool else np.iinfo(dt).min + ubnd = 2 if dt is bool else np.iinfo(dt).max + 1 + ubnd = ubnd - 1 if endpoint else ubnd + + # gh-7284: Ensure that we get Python data types + sample = self.rfunc(lbnd, ubnd, endpoint=endpoint, dtype=dt) + assert not hasattr(sample, 'dtype') + assert_equal(type(sample), dt) + + def test_respect_dtype_array(self, endpoint): + # See gh-7203 + for dt in self.itype: + lbnd = 0 if dt is bool else np.iinfo(dt).min + ubnd = 2 if dt is bool else np.iinfo(dt).max + 1 + ubnd = ubnd - 1 if endpoint else ubnd + dt = np.bool if dt is bool else dt + + sample = self.rfunc([lbnd], [ubnd], endpoint=endpoint, dtype=dt) + assert_equal(sample.dtype, dt) + sample = self.rfunc([lbnd] * 2, [ubnd] * 2, endpoint=endpoint, + dtype=dt) + assert_equal(sample.dtype, dt) + + def test_zero_size(self, endpoint): + # See gh-7203 + for dt in self.itype: + sample = self.rfunc(0, 0, (3, 0, 4), endpoint=endpoint, dtype=dt) + assert sample.shape == (3, 0, 4) + assert sample.dtype == dt + assert self.rfunc(0, -10, 0, endpoint=endpoint, + dtype=dt).shape == (0,) + assert_equal(random.integers(0, 0, size=(3, 0, 4)).shape, + (3, 0, 4)) + assert_equal(random.integers(0, -10, size=0).shape, (0,)) + assert_equal(random.integers(10, 10, size=0).shape, (0,)) + + def test_error_byteorder(self): + other_byteord_dt = 'i4' + with pytest.raises(ValueError): + random.integers(0, 200, size=10, dtype=other_byteord_dt) + + # chi2max is the maximum acceptable chi-squared value. + @pytest.mark.slow + @pytest.mark.parametrize('sample_size,high,dtype,chi2max', + [(5000000, 5, np.int8, 125.0), # p-value ~4.6e-25 + (5000000, 7, np.uint8, 150.0), # p-value ~7.7e-30 + (10000000, 2500, np.int16, 3300.0), # p-value ~3.0e-25 + (50000000, 5000, np.uint16, 6500.0), # p-value ~3.5e-25 + ]) + def test_integers_small_dtype_chisquared(self, sample_size, high, + dtype, chi2max): + # Regression test for gh-14774. + samples = random.integers(high, size=sample_size, dtype=dtype) + + values, counts = np.unique(samples, return_counts=True) + expected = sample_size / high + chi2 = ((counts - expected)**2 / expected).sum() + assert chi2 < chi2max + + +class TestRandomDist: + # Make sure the random distribution returns the correct value for a + # given seed + seed = 1234567890 + + def test_integers(self): + random = Generator(MT19937(self.seed)) + actual = random.integers(-99, 99, size=(3, 2)) + desired = np.array([[-80, -56], [41, 37], [-83, -16]]) + assert_array_equal(actual, desired) + + def test_integers_masked(self): + # Test masked rejection sampling algorithm to generate array of + # uint32 in an interval. + random = Generator(MT19937(self.seed)) + actual = random.integers(0, 99, size=(3, 2), dtype=np.uint32) + desired = np.array([[9, 21], [70, 68], [8, 41]], dtype=np.uint32) + assert_array_equal(actual, desired) + + def test_integers_closed(self): + random = Generator(MT19937(self.seed)) + actual = random.integers(-99, 99, size=(3, 2), endpoint=True) + desired = np.array([[-80, -56], [41, 38], [-83, -15]]) + assert_array_equal(actual, desired) + + def test_integers_max_int(self): + # Tests whether integers with closed=True can generate the + # maximum allowed Python int that can be converted + # into a C long. Previous implementations of this + # method have thrown an OverflowError when attempting + # to generate this integer. + actual = random.integers(np.iinfo('l').max, np.iinfo('l').max, + endpoint=True) + + desired = np.iinfo('l').max + assert_equal(actual, desired) + + def test_random(self): + random = Generator(MT19937(self.seed)) + actual = random.random((3, 2)) + desired = np.array([[0.096999199829214, 0.707517457682192], + [0.084364834598269, 0.767731206553125], + [0.665069021359413, 0.715487190596693]]) + assert_array_almost_equal(actual, desired, decimal=15) + + random = Generator(MT19937(self.seed)) + actual = random.random() + assert_array_almost_equal(actual, desired[0, 0], decimal=15) + + def test_random_float(self): + random = Generator(MT19937(self.seed)) + actual = random.random((3, 2)) + desired = np.array([[0.0969992 , 0.70751746], # noqa: E203 + [0.08436483, 0.76773121], + [0.66506902, 0.71548719]]) + assert_array_almost_equal(actual, desired, decimal=7) + + def test_random_float_scalar(self): + random = Generator(MT19937(self.seed)) + actual = random.random(dtype=np.float32) + desired = 0.0969992 + assert_array_almost_equal(actual, desired, decimal=7) + + @pytest.mark.parametrize('dtype, uint_view_type', + [(np.float32, np.uint32), + (np.float64, np.uint64)]) + def test_random_distribution_of_lsb(self, dtype, uint_view_type): + random = Generator(MT19937(self.seed)) + sample = random.random(100000, dtype=dtype) + num_ones_in_lsb = np.count_nonzero(sample.view(uint_view_type) & 1) + # The probability of a 1 in the least significant bit is 0.25. + # With a sample size of 100000, the probability that num_ones_in_lsb + # is outside the following range is less than 5e-11. + assert 24100 < num_ones_in_lsb < 25900 + + def test_random_unsupported_type(self): + assert_raises(TypeError, random.random, dtype='int32') + + def test_choice_uniform_replace(self): + random = Generator(MT19937(self.seed)) + actual = random.choice(4, 4) + desired = np.array([0, 0, 2, 2], dtype=np.int64) + assert_array_equal(actual, desired) + + def test_choice_nonuniform_replace(self): + random = Generator(MT19937(self.seed)) + actual = random.choice(4, 4, p=[0.4, 0.4, 0.1, 0.1]) + desired = np.array([0, 1, 0, 1], dtype=np.int64) + assert_array_equal(actual, desired) + + def test_choice_uniform_noreplace(self): + random = Generator(MT19937(self.seed)) + actual = random.choice(4, 3, replace=False) + desired = np.array([2, 0, 3], dtype=np.int64) + assert_array_equal(actual, desired) + actual = random.choice(4, 4, replace=False, shuffle=False) + desired = np.arange(4, dtype=np.int64) + assert_array_equal(actual, desired) + + def test_choice_nonuniform_noreplace(self): + random = Generator(MT19937(self.seed)) + actual = random.choice(4, 3, replace=False, p=[0.1, 0.3, 0.5, 0.1]) + desired = np.array([0, 2, 3], dtype=np.int64) + assert_array_equal(actual, desired) + + def test_choice_noninteger(self): + random = Generator(MT19937(self.seed)) + actual = random.choice(['a', 'b', 'c', 'd'], 4) + desired = np.array(['a', 'a', 'c', 'c']) + assert_array_equal(actual, desired) + + def test_choice_multidimensional_default_axis(self): + random = Generator(MT19937(self.seed)) + actual = random.choice([[0, 1], [2, 3], [4, 5], [6, 7]], 3) + desired = np.array([[0, 1], [0, 1], [4, 5]]) + assert_array_equal(actual, desired) + + def test_choice_multidimensional_custom_axis(self): + random = Generator(MT19937(self.seed)) + actual = random.choice([[0, 1], [2, 3], [4, 5], [6, 7]], 1, axis=1) + desired = np.array([[0], [2], [4], [6]]) + assert_array_equal(actual, desired) + + def test_choice_exceptions(self): + sample = random.choice + assert_raises(ValueError, sample, -1, 3) + assert_raises(ValueError, sample, 3., 3) + assert_raises(ValueError, sample, [], 3) + assert_raises(ValueError, sample, [1, 2, 3, 4], 3, + p=[[0.25, 0.25], [0.25, 0.25]]) + assert_raises(ValueError, sample, [1, 2], 3, p=[0.4, 0.4, 0.2]) + assert_raises(ValueError, sample, [1, 2], 3, p=[1.1, -0.1]) + assert_raises(ValueError, sample, [1, 2], 3, p=[0.4, 0.4]) + assert_raises(ValueError, sample, [1, 2, 3], 4, replace=False) + # gh-13087 + assert_raises(ValueError, sample, [1, 2, 3], -2, replace=False) + assert_raises(ValueError, sample, [1, 2, 3], (-1,), replace=False) + assert_raises(ValueError, sample, [1, 2, 3], (-1, 1), replace=False) + assert_raises(ValueError, sample, [1, 2, 3], 2, + replace=False, p=[1, 0, 0]) + + def test_choice_return_shape(self): + p = [0.1, 0.9] + # Check scalar + assert_(np.isscalar(random.choice(2, replace=True))) + assert_(np.isscalar(random.choice(2, replace=False))) + assert_(np.isscalar(random.choice(2, replace=True, p=p))) + assert_(np.isscalar(random.choice(2, replace=False, p=p))) + assert_(np.isscalar(random.choice([1, 2], replace=True))) + assert_(random.choice([None], replace=True) is None) + a = np.array([1, 2]) + arr = np.empty(1, dtype=object) + arr[0] = a + assert_(random.choice(arr, replace=True) is a) + + # Check 0-d array + s = () + assert_(not np.isscalar(random.choice(2, s, replace=True))) + assert_(not np.isscalar(random.choice(2, s, replace=False))) + assert_(not np.isscalar(random.choice(2, s, replace=True, p=p))) + assert_(not np.isscalar(random.choice(2, s, replace=False, p=p))) + assert_(not np.isscalar(random.choice([1, 2], s, replace=True))) + assert_(random.choice([None], s, replace=True).ndim == 0) + a = np.array([1, 2]) + arr = np.empty(1, dtype=object) + arr[0] = a + assert_(random.choice(arr, s, replace=True).item() is a) + + # Check multi dimensional array + s = (2, 3) + p = [0.1, 0.1, 0.1, 0.1, 0.4, 0.2] + assert_equal(random.choice(6, s, replace=True).shape, s) + assert_equal(random.choice(6, s, replace=False).shape, s) + assert_equal(random.choice(6, s, replace=True, p=p).shape, s) + assert_equal(random.choice(6, s, replace=False, p=p).shape, s) + assert_equal(random.choice(np.arange(6), s, replace=True).shape, s) + + # Check zero-size + assert_equal(random.integers(0, 0, size=(3, 0, 4)).shape, (3, 0, 4)) + assert_equal(random.integers(0, -10, size=0).shape, (0,)) + assert_equal(random.integers(10, 10, size=0).shape, (0,)) + assert_equal(random.choice(0, size=0).shape, (0,)) + assert_equal(random.choice([], size=(0,)).shape, (0,)) + assert_equal(random.choice(['a', 'b'], size=(3, 0, 4)).shape, + (3, 0, 4)) + assert_raises(ValueError, random.choice, [], 10) + + def test_choice_nan_probabilities(self): + a = np.array([42, 1, 2]) + p = [None, None, None] + assert_raises(ValueError, random.choice, a, p=p) + + def test_choice_p_non_contiguous(self): + p = np.ones(10) / 5 + p[1::2] = 3.0 + random = Generator(MT19937(self.seed)) + non_contig = random.choice(5, 3, p=p[::2]) + random = Generator(MT19937(self.seed)) + contig = random.choice(5, 3, p=np.ascontiguousarray(p[::2])) + assert_array_equal(non_contig, contig) + + def test_choice_return_type(self): + # gh 9867 + p = np.ones(4) / 4. + actual = random.choice(4, 2) + assert actual.dtype == np.int64 + actual = random.choice(4, 2, replace=False) + assert actual.dtype == np.int64 + actual = random.choice(4, 2, p=p) + assert actual.dtype == np.int64 + actual = random.choice(4, 2, p=p, replace=False) + assert actual.dtype == np.int64 + + def test_choice_large_sample(self): + choice_hash = '4266599d12bfcfb815213303432341c06b4349f5455890446578877bb322e222' + random = Generator(MT19937(self.seed)) + actual = random.choice(10000, 5000, replace=False) + if sys.byteorder != 'little': + actual = actual.byteswap() + res = hashlib.sha256(actual.view(np.int8)).hexdigest() + assert_(choice_hash == res) + + def test_choice_array_size_empty_tuple(self): + random = Generator(MT19937(self.seed)) + assert_array_equal(random.choice([1, 2, 3], size=()), np.array(1), + strict=True) + assert_array_equal(random.choice([[1, 2, 3]], size=()), [1, 2, 3]) + assert_array_equal(random.choice([[1]], size=()), [1], strict=True) + assert_array_equal(random.choice([[1]], size=(), axis=1), [1], + strict=True) + + def test_bytes(self): + random = Generator(MT19937(self.seed)) + actual = random.bytes(10) + desired = b'\x86\xf0\xd4\x18\xe1\x81\t8%\xdd' + assert_equal(actual, desired) + + def test_shuffle(self): + # Test lists, arrays (of various dtypes), and multidimensional versions + # of both, c-contiguous or not: + for conv in [lambda x: np.array([]), + lambda x: x, + lambda x: np.asarray(x).astype(np.int8), + lambda x: np.asarray(x).astype(np.float32), + lambda x: np.asarray(x).astype(np.complex64), + lambda x: np.asarray(x).astype(object), + lambda x: [(i, i) for i in x], + lambda x: np.asarray([[i, i] for i in x]), + lambda x: np.vstack([x, x]).T, + # gh-11442 + lambda x: (np.asarray([(i, i) for i in x], + [("a", int), ("b", int)]) + .view(np.recarray)), + # gh-4270 + lambda x: np.asarray([(i, i) for i in x], + [("a", object, (1,)), + ("b", np.int32, (1,))])]: + random = Generator(MT19937(self.seed)) + alist = conv([1, 2, 3, 4, 5, 6, 7, 8, 9, 0]) + random.shuffle(alist) + actual = alist + desired = conv([4, 1, 9, 8, 0, 5, 3, 6, 2, 7]) + assert_array_equal(actual, desired) + + def test_shuffle_custom_axis(self): + random = Generator(MT19937(self.seed)) + actual = np.arange(16).reshape((4, 4)) + random.shuffle(actual, axis=1) + desired = np.array([[ 0, 3, 1, 2], + [ 4, 7, 5, 6], + [ 8, 11, 9, 10], + [12, 15, 13, 14]]) + assert_array_equal(actual, desired) + random = Generator(MT19937(self.seed)) + actual = np.arange(16).reshape((4, 4)) + random.shuffle(actual, axis=-1) + assert_array_equal(actual, desired) + + def test_shuffle_custom_axis_empty(self): + random = Generator(MT19937(self.seed)) + desired = np.array([]).reshape((0, 6)) + for axis in (0, 1): + actual = np.array([]).reshape((0, 6)) + random.shuffle(actual, axis=axis) + assert_array_equal(actual, desired) + + def test_shuffle_axis_nonsquare(self): + y1 = np.arange(20).reshape(2, 10) + y2 = y1.copy() + random = Generator(MT19937(self.seed)) + random.shuffle(y1, axis=1) + random = Generator(MT19937(self.seed)) + random.shuffle(y2.T) + assert_array_equal(y1, y2) + + def test_shuffle_masked(self): + # gh-3263 + a = np.ma.masked_values(np.reshape(range(20), (5, 4)) % 3 - 1, -1) + b = np.ma.masked_values(np.arange(20) % 3 - 1, -1) + a_orig = a.copy() + b_orig = b.copy() + for i in range(50): + random.shuffle(a) + assert_equal( + sorted(a.data[~a.mask]), sorted(a_orig.data[~a_orig.mask])) + random.shuffle(b) + assert_equal( + sorted(b.data[~b.mask]), sorted(b_orig.data[~b_orig.mask])) + + def test_shuffle_exceptions(self): + random = Generator(MT19937(self.seed)) + arr = np.arange(10) + assert_raises(AxisError, random.shuffle, arr, 1) + arr = np.arange(9).reshape((3, 3)) + assert_raises(AxisError, random.shuffle, arr, 3) + assert_raises(TypeError, random.shuffle, arr, slice(1, 2, None)) + arr = [[1, 2, 3], [4, 5, 6]] + assert_raises(NotImplementedError, random.shuffle, arr, 1) + + arr = np.array(3) + assert_raises(TypeError, random.shuffle, arr) + arr = np.ones((3, 2)) + assert_raises(AxisError, random.shuffle, arr, 2) + + def test_shuffle_not_writeable(self): + random = Generator(MT19937(self.seed)) + a = np.zeros(5) + a.flags.writeable = False + with pytest.raises(ValueError, match='read-only'): + random.shuffle(a) + + def test_permutation(self): + random = Generator(MT19937(self.seed)) + alist = [1, 2, 3, 4, 5, 6, 7, 8, 9, 0] + actual = random.permutation(alist) + desired = [4, 1, 9, 8, 0, 5, 3, 6, 2, 7] + assert_array_equal(actual, desired) + + random = Generator(MT19937(self.seed)) + arr_2d = np.atleast_2d([1, 2, 3, 4, 5, 6, 7, 8, 9, 0]).T + actual = random.permutation(arr_2d) + assert_array_equal(actual, np.atleast_2d(desired).T) + + bad_x_str = "abcd" + assert_raises(AxisError, random.permutation, bad_x_str) + + bad_x_float = 1.2 + assert_raises(AxisError, random.permutation, bad_x_float) + + random = Generator(MT19937(self.seed)) + integer_val = 10 + desired = [3, 0, 8, 7, 9, 4, 2, 5, 1, 6] + + actual = random.permutation(integer_val) + assert_array_equal(actual, desired) + + def test_permutation_custom_axis(self): + a = np.arange(16).reshape((4, 4)) + desired = np.array([[ 0, 3, 1, 2], + [ 4, 7, 5, 6], + [ 8, 11, 9, 10], + [12, 15, 13, 14]]) + random = Generator(MT19937(self.seed)) + actual = random.permutation(a, axis=1) + assert_array_equal(actual, desired) + random = Generator(MT19937(self.seed)) + actual = random.permutation(a, axis=-1) + assert_array_equal(actual, desired) + + def test_permutation_exceptions(self): + random = Generator(MT19937(self.seed)) + arr = np.arange(10) + assert_raises(AxisError, random.permutation, arr, 1) + arr = np.arange(9).reshape((3, 3)) + assert_raises(AxisError, random.permutation, arr, 3) + assert_raises(TypeError, random.permutation, arr, slice(1, 2, None)) + + @pytest.mark.parametrize("dtype", [int, object]) + @pytest.mark.parametrize("axis, expected", + [(None, np.array([[3, 7, 0, 9, 10, 11], + [8, 4, 2, 5, 1, 6]])), + (0, np.array([[6, 1, 2, 9, 10, 11], + [0, 7, 8, 3, 4, 5]])), + (1, np.array([[ 5, 3, 4, 0, 2, 1], + [11, 9, 10, 6, 8, 7]]))]) + def test_permuted(self, dtype, axis, expected): + random = Generator(MT19937(self.seed)) + x = np.arange(12).reshape(2, 6).astype(dtype) + random.permuted(x, axis=axis, out=x) + assert_array_equal(x, expected) + + random = Generator(MT19937(self.seed)) + x = np.arange(12).reshape(2, 6).astype(dtype) + y = random.permuted(x, axis=axis) + assert y.dtype == dtype + assert_array_equal(y, expected) + + def test_permuted_with_strides(self): + random = Generator(MT19937(self.seed)) + x0 = np.arange(22).reshape(2, 11) + x1 = x0.copy() + x = x0[:, ::3] + y = random.permuted(x, axis=1, out=x) + expected = np.array([[0, 9, 3, 6], + [14, 20, 11, 17]]) + assert_array_equal(y, expected) + x1[:, ::3] = expected + # Verify that the original x0 was modified in-place as expected. + assert_array_equal(x1, x0) + + def test_permuted_empty(self): + y = random.permuted([]) + assert_array_equal(y, []) + + @pytest.mark.parametrize('outshape', [(2, 3), 5]) + def test_permuted_out_with_wrong_shape(self, outshape): + a = np.array([1, 2, 3]) + out = np.zeros(outshape, dtype=a.dtype) + with pytest.raises(ValueError, match='same shape'): + random.permuted(a, out=out) + + def test_permuted_out_with_wrong_type(self): + out = np.zeros((3, 5), dtype=np.int32) + x = np.ones((3, 5)) + with pytest.raises(TypeError, match='Cannot cast'): + random.permuted(x, axis=1, out=out) + + def test_permuted_not_writeable(self): + x = np.zeros((2, 5)) + x.flags.writeable = False + with pytest.raises(ValueError, match='read-only'): + random.permuted(x, axis=1, out=x) + + def test_beta(self): + random = Generator(MT19937(self.seed)) + actual = random.beta(.1, .9, size=(3, 2)) + desired = np.array( + [[1.083029353267698e-10, 2.449965303168024e-11], + [2.397085162969853e-02, 3.590779671820755e-08], + [2.830254190078299e-04, 1.744709918330393e-01]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_binomial(self): + random = Generator(MT19937(self.seed)) + actual = random.binomial(100.123, .456, size=(3, 2)) + desired = np.array([[42, 41], + [42, 48], + [44, 50]]) + assert_array_equal(actual, desired) + + random = Generator(MT19937(self.seed)) + actual = random.binomial(100.123, .456) + desired = 42 + assert_array_equal(actual, desired) + + def test_chisquare(self): + random = Generator(MT19937(self.seed)) + actual = random.chisquare(50, size=(3, 2)) + desired = np.array([[32.9850547060149, 39.0219480493301], + [56.2006134779419, 57.3474165711485], + [55.4243733880198, 55.4209797925213]]) + assert_array_almost_equal(actual, desired, decimal=13) + + def test_dirichlet(self): + random = Generator(MT19937(self.seed)) + alpha = np.array([51.72840233779265162, 39.74494232180943953]) + actual = random.dirichlet(alpha, size=(3, 2)) + desired = np.array([[[0.5439892869558927, 0.45601071304410745], + [0.5588917345860708, 0.4411082654139292 ]], # noqa: E202 + [[0.5632074165063435, 0.43679258349365657], + [0.54862581112627, 0.45137418887373015]], + [[0.49961831357047226, 0.5003816864295278 ], # noqa: E202 + [0.52374806183482, 0.47625193816517997]]]) + assert_array_almost_equal(actual, desired, decimal=15) + bad_alpha = np.array([5.4e-01, -1.0e-16]) + assert_raises(ValueError, random.dirichlet, bad_alpha) + + random = Generator(MT19937(self.seed)) + alpha = np.array([51.72840233779265162, 39.74494232180943953]) + actual = random.dirichlet(alpha) + assert_array_almost_equal(actual, desired[0, 0], decimal=15) + + def test_dirichlet_size(self): + # gh-3173 + p = np.array([51.72840233779265162, 39.74494232180943953]) + assert_equal(random.dirichlet(p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.dirichlet(p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.dirichlet(p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.dirichlet(p, [2, 2]).shape, (2, 2, 2)) + assert_equal(random.dirichlet(p, (2, 2)).shape, (2, 2, 2)) + assert_equal(random.dirichlet(p, np.array((2, 2))).shape, (2, 2, 2)) + + assert_raises(TypeError, random.dirichlet, p, float(1)) + + def test_dirichlet_bad_alpha(self): + # gh-2089 + alpha = np.array([5.4e-01, -1.0e-16]) + assert_raises(ValueError, random.dirichlet, alpha) + + # gh-15876 + assert_raises(ValueError, random.dirichlet, [[5, 1]]) + assert_raises(ValueError, random.dirichlet, [[5], [1]]) + assert_raises(ValueError, random.dirichlet, [[[5], [1]], [[1], [5]]]) + assert_raises(ValueError, random.dirichlet, np.array([[5, 1], [1, 5]])) + + def test_dirichlet_alpha_non_contiguous(self): + a = np.array([51.72840233779265162, -1.0, 39.74494232180943953]) + alpha = a[::2] + random = Generator(MT19937(self.seed)) + non_contig = random.dirichlet(alpha, size=(3, 2)) + random = Generator(MT19937(self.seed)) + contig = random.dirichlet(np.ascontiguousarray(alpha), + size=(3, 2)) + assert_array_almost_equal(non_contig, contig) + + def test_dirichlet_small_alpha(self): + eps = 1.0e-9 # 1.0e-10 -> runtime x 10; 1e-11 -> runtime x 200, etc. + alpha = eps * np.array([1., 1.0e-3]) + random = Generator(MT19937(self.seed)) + actual = random.dirichlet(alpha, size=(3, 2)) + expected = np.array([ + [[1., 0.], + [1., 0.]], + [[1., 0.], + [1., 0.]], + [[1., 0.], + [1., 0.]] + ]) + assert_array_almost_equal(actual, expected, decimal=15) + + @pytest.mark.slow + @pytest.mark.thread_unsafe(reason="crashes with low memory") + def test_dirichlet_moderately_small_alpha(self): + # Use alpha.max() < 0.1 to trigger stick breaking code path + alpha = np.array([0.02, 0.04, 0.03]) + exact_mean = alpha / alpha.sum() + random = Generator(MT19937(self.seed)) + sample = random.dirichlet(alpha, size=20000000) + sample_mean = sample.mean(axis=0) + assert_allclose(sample_mean, exact_mean, rtol=1e-3) + + # This set of parameters includes inputs with alpha.max() >= 0.1 and + # alpha.max() < 0.1 to exercise both generation methods within the + # dirichlet code. + @pytest.mark.parametrize( + 'alpha', + [[5, 9, 0, 8], + [0.5, 0, 0, 0], + [1, 5, 0, 0, 1.5, 0, 0, 0], + [0.01, 0.03, 0, 0.005], + [1e-5, 0, 0, 0], + [0.002, 0.015, 0, 0, 0.04, 0, 0, 0], + [0.0], + [0, 0, 0]], + ) + def test_dirichlet_multiple_zeros_in_alpha(self, alpha): + alpha = np.array(alpha) + y = random.dirichlet(alpha) + assert_equal(y[alpha == 0], 0.0) + + def test_exponential(self): + random = Generator(MT19937(self.seed)) + actual = random.exponential(1.1234, size=(3, 2)) + desired = np.array([[0.098845481066258, 1.560752510746964], + [0.075730916041636, 1.769098974710777], + [1.488602544592235, 2.49684815275751 ]]) # noqa: E202 + assert_array_almost_equal(actual, desired, decimal=15) + + def test_exponential_0(self): + assert_equal(random.exponential(scale=0), 0) + assert_raises(ValueError, random.exponential, scale=-0.) + + def test_f(self): + random = Generator(MT19937(self.seed)) + actual = random.f(12, 77, size=(3, 2)) + desired = np.array([[0.461720027077085, 1.100441958872451], + [1.100337455217484, 0.91421736740018 ], # noqa: E202 + [0.500811891303113, 0.826802454552058]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_gamma(self): + random = Generator(MT19937(self.seed)) + actual = random.gamma(5, 3, size=(3, 2)) + desired = np.array([[ 5.03850858902096, 7.9228656732049 ], # noqa: E202 + [18.73983605132985, 19.57961681699238], + [18.17897755150825, 18.17653912505234]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_gamma_0(self): + assert_equal(random.gamma(shape=0, scale=0), 0) + assert_raises(ValueError, random.gamma, shape=-0., scale=-0.) + + def test_geometric(self): + random = Generator(MT19937(self.seed)) + actual = random.geometric(.123456789, size=(3, 2)) + desired = np.array([[1, 11], + [1, 12], + [11, 17]]) + assert_array_equal(actual, desired) + + def test_geometric_exceptions(self): + assert_raises(ValueError, random.geometric, 1.1) + assert_raises(ValueError, random.geometric, [1.1] * 10) + assert_raises(ValueError, random.geometric, -0.1) + assert_raises(ValueError, random.geometric, [-0.1] * 10) + with np.errstate(invalid='ignore'): + assert_raises(ValueError, random.geometric, np.nan) + assert_raises(ValueError, random.geometric, [np.nan] * 10) + + def test_gumbel(self): + random = Generator(MT19937(self.seed)) + actual = random.gumbel(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[ 4.688397515056245, -0.289514845417841], + [ 4.981176042584683, -0.633224272589149], + [-0.055915275687488, -0.333962478257953]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_gumbel_0(self): + assert_equal(random.gumbel(scale=0), 0) + assert_raises(ValueError, random.gumbel, scale=-0.) + + def test_hypergeometric(self): + random = Generator(MT19937(self.seed)) + actual = random.hypergeometric(10.1, 5.5, 14, size=(3, 2)) + desired = np.array([[ 9, 9], + [ 9, 9], + [10, 9]]) + assert_array_equal(actual, desired) + + # Test nbad = 0 + actual = random.hypergeometric(5, 0, 3, size=4) + desired = np.array([3, 3, 3, 3]) + assert_array_equal(actual, desired) + + actual = random.hypergeometric(15, 0, 12, size=4) + desired = np.array([12, 12, 12, 12]) + assert_array_equal(actual, desired) + + # Test ngood = 0 + actual = random.hypergeometric(0, 5, 3, size=4) + desired = np.array([0, 0, 0, 0]) + assert_array_equal(actual, desired) + + actual = random.hypergeometric(0, 15, 12, size=4) + desired = np.array([0, 0, 0, 0]) + assert_array_equal(actual, desired) + + def test_laplace(self): + random = Generator(MT19937(self.seed)) + actual = random.laplace(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[-3.156353949272393, 1.195863024830054], + [-3.435458081645966, 1.656882398925444], + [ 0.924824032467446, 1.251116432209336]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_laplace_0(self): + assert_equal(random.laplace(scale=0), 0) + assert_raises(ValueError, random.laplace, scale=-0.) + + def test_logistic(self): + random = Generator(MT19937(self.seed)) + actual = random.logistic(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[-4.338584631510999, 1.890171436749954], + [-4.64547787337966 , 2.514545562919217], # noqa: E203 + [ 1.495389489198666, 1.967827627577474]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_lognormal(self): + random = Generator(MT19937(self.seed)) + actual = random.lognormal(mean=.123456789, sigma=2.0, size=(3, 2)) + desired = np.array([[ 0.0268252166335, 13.9534486483053], + [ 0.1204014788936, 2.2422077497792], + [ 4.2484199496128, 12.0093343977523]]) + assert_array_almost_equal(actual, desired, decimal=13) + + def test_lognormal_0(self): + assert_equal(random.lognormal(sigma=0), 1) + assert_raises(ValueError, random.lognormal, sigma=-0.) + + def test_logseries(self): + random = Generator(MT19937(self.seed)) + actual = random.logseries(p=.923456789, size=(3, 2)) + desired = np.array([[14, 17], + [3, 18], + [5, 1]]) + assert_array_equal(actual, desired) + + def test_logseries_zero(self): + random = Generator(MT19937(self.seed)) + assert random.logseries(0) == 1 + + @pytest.mark.parametrize("value", [np.nextafter(0., -1), 1., np.nan, 5.]) + def test_logseries_exceptions(self, value): + random = Generator(MT19937(self.seed)) + with np.errstate(invalid="ignore"): + with pytest.raises(ValueError): + random.logseries(value) + with pytest.raises(ValueError): + # contiguous path: + random.logseries(np.array([value] * 10)) + with pytest.raises(ValueError): + # non-contiguous path: + random.logseries(np.array([value] * 10)[::2]) + + def test_multinomial(self): + random = Generator(MT19937(self.seed)) + actual = random.multinomial(20, [1 / 6.] * 6, size=(3, 2)) + desired = np.array([[[1, 5, 1, 6, 4, 3], + [4, 2, 6, 2, 4, 2]], + [[5, 3, 2, 6, 3, 1], + [4, 4, 0, 2, 3, 7]], + [[6, 3, 1, 5, 3, 2], + [5, 5, 3, 1, 2, 4]]]) + assert_array_equal(actual, desired) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + @pytest.mark.parametrize("method", ["svd", "eigh", "cholesky"]) + def test_multivariate_normal(self, method): + random = Generator(MT19937(self.seed)) + mean = (.123456789, 10) + cov = [[1, 0], [0, 1]] + size = (3, 2) + actual = random.multivariate_normal(mean, cov, size, method=method) + desired = np.array([[[-1.747478062846581, 11.25613495182354 ], # noqa: E202 + [-0.9967333370066214, 10.342002097029821]], + [[ 0.7850019631242964, 11.181113712443013], + [ 0.8901349653255224, 8.873825399642492]], + [[ 0.7130260107430003, 9.551628690083056], + [ 0.7127098726541128, 11.991709234143173]]]) + + assert_array_almost_equal(actual, desired, decimal=15) + + # Check for default size, was raising deprecation warning + actual = random.multivariate_normal(mean, cov, method=method) + desired = np.array([0.233278563284287, 9.424140804347195]) + assert_array_almost_equal(actual, desired, decimal=15) + # Check that non symmetric covariance input raises exception when + # check_valid='raises' if using default svd method. + mean = [0, 0] + cov = [[1, 2], [1, 2]] + assert_raises(ValueError, random.multivariate_normal, mean, cov, + check_valid='raise') + + # Check that non positive-semidefinite covariance warns with + # RuntimeWarning + cov = [[1, 2], [2, 1]] + pytest.warns(RuntimeWarning, random.multivariate_normal, mean, cov) + pytest.warns(RuntimeWarning, random.multivariate_normal, mean, cov, + method='eigh') + assert_raises(LinAlgError, random.multivariate_normal, mean, cov, + method='cholesky') + + # and that it doesn't warn with RuntimeWarning check_valid='ignore' + assert_no_warnings(random.multivariate_normal, mean, cov, + check_valid='ignore') + + # and that it raises with RuntimeWarning check_valid='raises' + assert_raises(ValueError, random.multivariate_normal, mean, cov, + check_valid='raise') + assert_raises(ValueError, random.multivariate_normal, mean, cov, + check_valid='raise', method='eigh') + + # check degenerate samples from singular covariance matrix + cov = [[1, 1], [1, 1]] + if method in ('svd', 'eigh'): + samples = random.multivariate_normal(mean, cov, size=(3, 2), + method=method) + assert_array_almost_equal(samples[..., 0], samples[..., 1], + decimal=6) + else: + assert_raises(LinAlgError, random.multivariate_normal, mean, cov, + method='cholesky') + + cov = np.array([[1, 0.1], [0.1, 1]], dtype=np.float32) + with warnings.catch_warnings(): + warnings.simplefilter("error") + random.multivariate_normal(mean, cov, method=method) + + mu = np.zeros(2) + cov = np.eye(2) + assert_raises(ValueError, random.multivariate_normal, mean, cov, + check_valid='other') + assert_raises(ValueError, random.multivariate_normal, + np.zeros((2, 1, 1)), cov) + assert_raises(ValueError, random.multivariate_normal, + mu, np.empty((3, 2))) + assert_raises(ValueError, random.multivariate_normal, + mu, np.eye(3)) + + @pytest.mark.parametrize('mean, cov', [([0], [[1 + 1j]]), ([0j], [[1]])]) + def test_multivariate_normal_disallow_complex(self, mean, cov): + random = Generator(MT19937(self.seed)) + with pytest.raises(TypeError, match="must not be complex"): + random.multivariate_normal(mean, cov) + + @pytest.mark.parametrize("method", ["svd", "eigh", "cholesky"]) + def test_multivariate_normal_basic_stats(self, method): + random = Generator(MT19937(self.seed)) + n_s = 1000 + mean = np.array([1, 2]) + cov = np.array([[2, 1], [1, 2]]) + s = random.multivariate_normal(mean, cov, size=(n_s,), method=method) + s_center = s - mean + cov_emp = (s_center.T @ s_center) / (n_s - 1) + # these are pretty loose and are only designed to detect major errors + assert np.all(np.abs(s_center.mean(-2)) < 0.1) + assert np.all(np.abs(cov_emp - cov) < 0.2) + + def test_negative_binomial(self): + random = Generator(MT19937(self.seed)) + actual = random.negative_binomial(n=100, p=.12345, size=(3, 2)) + desired = np.array([[543, 727], + [775, 760], + [600, 674]]) + assert_array_equal(actual, desired) + + def test_negative_binomial_exceptions(self): + with np.errstate(invalid='ignore'): + assert_raises(ValueError, random.negative_binomial, 100, np.nan) + assert_raises(ValueError, random.negative_binomial, 100, + [np.nan] * 10) + + def test_negative_binomial_p0_exception(self): + # Verify that p=0 raises an exception. + with assert_raises(ValueError): + x = random.negative_binomial(1, 0) + + def test_negative_binomial_invalid_p_n_combination(self): + # Verify that values of p and n that would result in an overflow + # or infinite loop raise an exception. + with np.errstate(invalid='ignore'): + assert_raises(ValueError, random.negative_binomial, 2**62, 0.1) + assert_raises(ValueError, random.negative_binomial, [2**62], [0.1]) + + def test_noncentral_chisquare(self): + random = Generator(MT19937(self.seed)) + actual = random.noncentral_chisquare(df=5, nonc=5, size=(3, 2)) + desired = np.array([[ 1.70561552362133, 15.97378184942111], + [13.71483425173724, 20.17859633310629], + [11.3615477156643 , 3.67891108738029]]) # noqa: E203 + assert_array_almost_equal(actual, desired, decimal=14) + + actual = random.noncentral_chisquare(df=.5, nonc=.2, size=(3, 2)) + desired = np.array([[9.41427665607629e-04, 1.70473157518850e-04], + [1.14554372041263e+00, 1.38187755933435e-03], + [1.90659181905387e+00, 1.21772577941822e+00]]) + assert_array_almost_equal(actual, desired, decimal=14) + + random = Generator(MT19937(self.seed)) + actual = random.noncentral_chisquare(df=5, nonc=0, size=(3, 2)) + desired = np.array([[0.82947954590419, 1.80139670767078], + [6.58720057417794, 7.00491463609814], + [6.31101879073157, 6.30982307753005]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_noncentral_f(self): + random = Generator(MT19937(self.seed)) + actual = random.noncentral_f(dfnum=5, dfden=2, nonc=1, + size=(3, 2)) + desired = np.array([[0.060310671139 , 0.23866058175939], # noqa: E203 + [0.86860246709073, 0.2668510459738 ], # noqa: E202 + [0.23375780078364, 1.88922102885943]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_noncentral_f_nan(self): + random = Generator(MT19937(self.seed)) + actual = random.noncentral_f(dfnum=5, dfden=2, nonc=np.nan) + assert np.isnan(actual) + + def test_normal(self): + random = Generator(MT19937(self.seed)) + actual = random.normal(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[-3.618412914693162, 2.635726692647081], + [-2.116923463013243, 0.807460983059643], + [ 1.446547137248593, 2.485684213886024]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_normal_0(self): + assert_equal(random.normal(scale=0), 0) + assert_raises(ValueError, random.normal, scale=-0.) + + def test_pareto(self): + random = Generator(MT19937(self.seed)) + actual = random.pareto(a=.123456789, size=(3, 2)) + desired = np.array([[1.0394926776069018e+00, 7.7142534343505773e+04], + [7.2640150889064703e-01, 3.4650454783825594e+05], + [4.5852344481994740e+04, 6.5851383009539105e+07]]) + # For some reason on 32-bit x86 Ubuntu 12.10 the [1, 0] entry in this + # matrix differs by 24 nulps. Discussion: + # https://mail.python.org/pipermail/numpy-discussion/2012-September/063801.html + # Consensus is that this is probably some gcc quirk that affects + # rounding but not in any important way, so we just use a looser + # tolerance on this test: + np.testing.assert_array_almost_equal_nulp(actual, desired, nulp=30) + + def test_poisson(self): + random = Generator(MT19937(self.seed)) + actual = random.poisson(lam=.123456789, size=(3, 2)) + desired = np.array([[0, 0], + [0, 0], + [0, 0]]) + assert_array_equal(actual, desired) + + def test_poisson_exceptions(self): + lambig = np.iinfo('int64').max + lamneg = -1 + assert_raises(ValueError, random.poisson, lamneg) + assert_raises(ValueError, random.poisson, [lamneg] * 10) + assert_raises(ValueError, random.poisson, lambig) + assert_raises(ValueError, random.poisson, [lambig] * 10) + with np.errstate(invalid='ignore'): + assert_raises(ValueError, random.poisson, np.nan) + assert_raises(ValueError, random.poisson, [np.nan] * 10) + + def test_power(self): + random = Generator(MT19937(self.seed)) + actual = random.power(a=.123456789, size=(3, 2)) + desired = np.array([[1.977857368842754e-09, 9.806792196620341e-02], + [2.482442984543471e-10, 1.527108843266079e-01], + [8.188283434244285e-02, 3.950547209346948e-01]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_rayleigh(self): + random = Generator(MT19937(self.seed)) + actual = random.rayleigh(scale=10, size=(3, 2)) + desired = np.array([[4.19494429102666, 16.66920198906598], + [3.67184544902662, 17.74695521962917], + [16.27935397855501, 21.08355560691792]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_rayleigh_0(self): + assert_equal(random.rayleigh(scale=0), 0) + assert_raises(ValueError, random.rayleigh, scale=-0.) + + def test_standard_cauchy(self): + random = Generator(MT19937(self.seed)) + actual = random.standard_cauchy(size=(3, 2)) + desired = np.array([[-1.489437778266206, -3.275389641569784], + [ 0.560102864910406, -0.680780916282552], + [-1.314912905226277, 0.295852965660225]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_standard_exponential(self): + random = Generator(MT19937(self.seed)) + actual = random.standard_exponential(size=(3, 2), method='inv') + desired = np.array([[0.102031839440643, 1.229350298474972], + [0.088137284693098, 1.459859985522667], + [1.093830802293668, 1.256977002164613]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_standard_expoential_type_error(self): + assert_raises(TypeError, random.standard_exponential, dtype=np.int32) + + def test_standard_gamma(self): + random = Generator(MT19937(self.seed)) + actual = random.standard_gamma(shape=3, size=(3, 2)) + desired = np.array([[0.62970724056362, 1.22379851271008], + [3.899412530884 , 4.12479964250139], # noqa: E203 + [3.74994102464584, 3.74929307690815]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_standard_gammma_scalar_float(self): + random = Generator(MT19937(self.seed)) + actual = random.standard_gamma(3, dtype=np.float32) + desired = 2.9242148399353027 + assert_array_almost_equal(actual, desired, decimal=6) + + def test_standard_gamma_float(self): + random = Generator(MT19937(self.seed)) + actual = random.standard_gamma(shape=3, size=(3, 2)) + desired = np.array([[0.62971, 1.2238], + [3.89941, 4.1248], + [3.74994, 3.74929]]) + assert_array_almost_equal(actual, desired, decimal=5) + + def test_standard_gammma_float_out(self): + actual = np.zeros((3, 2), dtype=np.float32) + random = Generator(MT19937(self.seed)) + random.standard_gamma(10.0, out=actual, dtype=np.float32) + desired = np.array([[10.14987, 7.87012], + [ 9.46284, 12.56832], + [13.82495, 7.81533]], dtype=np.float32) + assert_array_almost_equal(actual, desired, decimal=5) + + random = Generator(MT19937(self.seed)) + random.standard_gamma(10.0, out=actual, size=(3, 2), dtype=np.float32) + assert_array_almost_equal(actual, desired, decimal=5) + + def test_standard_gamma_unknown_type(self): + assert_raises(TypeError, random.standard_gamma, 1., + dtype='int32') + + def test_out_size_mismatch(self): + out = np.zeros(10) + assert_raises(ValueError, random.standard_gamma, 10.0, size=20, + out=out) + assert_raises(ValueError, random.standard_gamma, 10.0, size=(10, 1), + out=out) + + def test_standard_gamma_0(self): + assert_equal(random.standard_gamma(shape=0), 0) + assert_raises(ValueError, random.standard_gamma, shape=-0.) + + def test_standard_normal(self): + random = Generator(MT19937(self.seed)) + actual = random.standard_normal(size=(3, 2)) + desired = np.array([[-1.870934851846581, 1.25613495182354 ], # noqa: E202 + [-1.120190126006621, 0.342002097029821], + [ 0.661545174124296, 1.181113712443012]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_standard_normal_unsupported_type(self): + assert_raises(TypeError, random.standard_normal, dtype=np.int32) + + def test_standard_t(self): + random = Generator(MT19937(self.seed)) + actual = random.standard_t(df=10, size=(3, 2)) + desired = np.array([[-1.484666193042647, 0.30597891831161], + [ 1.056684299648085, -0.407312602088507], + [ 0.130704414281157, -2.038053410490321]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_triangular(self): + random = Generator(MT19937(self.seed)) + actual = random.triangular(left=5.12, mode=10.23, right=20.34, + size=(3, 2)) + desired = np.array([[ 7.86664070590917, 13.6313848513185 ], # noqa: E202 + [ 7.68152445215983, 14.36169131136546], + [13.16105603911429, 13.72341621856971]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_uniform(self): + random = Generator(MT19937(self.seed)) + actual = random.uniform(low=1.23, high=10.54, size=(3, 2)) + desired = np.array([[2.13306255040998 , 7.816987531021207], # noqa: E203 + [2.015436610109887, 8.377577533009589], + [7.421792588856135, 7.891185744455209]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_uniform_range_bounds(self): + fmin = np.finfo('float').min + fmax = np.finfo('float').max + + func = random.uniform + assert_raises(OverflowError, func, -np.inf, 0) + assert_raises(OverflowError, func, 0, np.inf) + assert_raises(OverflowError, func, fmin, fmax) + assert_raises(OverflowError, func, [-np.inf], [0]) + assert_raises(OverflowError, func, [0], [np.inf]) + + # (fmax / 1e17) - fmin is within range, so this should not throw + # account for i386 extended precision DBL_MAX / 1e17 + DBL_MAX > + # DBL_MAX by increasing fmin a bit + random.uniform(low=np.nextafter(fmin, 1), high=fmax / 1e17) + + def test_uniform_zero_range(self): + func = random.uniform + result = func(1.5, 1.5) + assert_allclose(result, 1.5) + result = func([0.0, np.pi], [0.0, np.pi]) + assert_allclose(result, [0.0, np.pi]) + result = func([[2145.12], [2145.12]], [2145.12, 2145.12]) + assert_allclose(result, 2145.12 + np.zeros((2, 2))) + + def test_uniform_neg_range(self): + func = random.uniform + assert_raises(ValueError, func, 2, 1) + assert_raises(ValueError, func, [1, 2], [1, 1]) + assert_raises(ValueError, func, [[0, 1], [2, 3]], 2) + + def test_scalar_exception_propagation(self): + # Tests that exceptions are correctly propagated in distributions + # when called with objects that throw exceptions when converted to + # scalars. + # + # Regression test for gh: 8865 + + class ThrowingFloat(np.ndarray): + def __float__(self): + raise TypeError + + throwing_float = np.array(1.0).view(ThrowingFloat) + assert_raises(TypeError, random.uniform, throwing_float, + throwing_float) + + class ThrowingInteger(np.ndarray): + def __int__(self): + raise TypeError + + throwing_int = np.array(1).view(ThrowingInteger) + assert_raises(TypeError, random.hypergeometric, throwing_int, 1, 1) + + def test_vonmises(self): + random = Generator(MT19937(self.seed)) + actual = random.vonmises(mu=1.23, kappa=1.54, size=(3, 2)) + desired = np.array([[ 1.107972248690106, 2.841536476232361], + [ 1.832602376042457, 1.945511926976032], + [-0.260147475776542, 2.058047492231698]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_vonmises_small(self): + # check infinite loop, gh-4720 + random = Generator(MT19937(self.seed)) + r = random.vonmises(mu=0., kappa=1.1e-8, size=10**6) + assert_(np.isfinite(r).all()) + + def test_vonmises_nan(self): + random = Generator(MT19937(self.seed)) + r = random.vonmises(mu=0., kappa=np.nan) + assert_(np.isnan(r)) + + @pytest.mark.parametrize("kappa", [1e4, 1e15]) + def test_vonmises_large_kappa(self, kappa): + random = Generator(MT19937(self.seed)) + rs = RandomState(random.bit_generator) + state = random.bit_generator.state + + random_state_vals = rs.vonmises(0, kappa, size=10) + random.bit_generator.state = state + gen_vals = random.vonmises(0, kappa, size=10) + if kappa < 1e6: + assert_allclose(random_state_vals, gen_vals) + else: + assert np.all(random_state_vals != gen_vals) + + @pytest.mark.parametrize("mu", [-7., -np.pi, -3.1, np.pi, 3.2]) + @pytest.mark.parametrize("kappa", [1e-9, 1e-6, 1, 1e3, 1e15]) + def test_vonmises_large_kappa_range(self, mu, kappa): + random = Generator(MT19937(self.seed)) + r = random.vonmises(mu, kappa, 50) + assert_(np.all(r > -np.pi) and np.all(r <= np.pi)) + + def test_wald(self): + random = Generator(MT19937(self.seed)) + actual = random.wald(mean=1.23, scale=1.54, size=(3, 2)) + desired = np.array([[0.26871721804551, 3.2233942732115 ], # noqa: E202 + [2.20328374987066, 2.40958405189353], + [2.07093587449261, 0.73073890064369]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_wald_nonnegative(self): + random = Generator(MT19937(self.seed)) + samples = random.wald(mean=1e9, scale=2.25, size=1000) + assert_(np.all(samples >= 0.0)) + + def test_weibull(self): + random = Generator(MT19937(self.seed)) + actual = random.weibull(a=1.23, size=(3, 2)) + desired = np.array([[0.138613914769468, 1.306463419753191], + [0.111623365934763, 1.446570494646721], + [1.257145775276011, 1.914247725027957]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_weibull_0(self): + random = Generator(MT19937(self.seed)) + assert_equal(random.weibull(a=0, size=12), np.zeros(12)) + assert_raises(ValueError, random.weibull, a=-0.) + + def test_zipf(self): + random = Generator(MT19937(self.seed)) + actual = random.zipf(a=1.23, size=(3, 2)) + desired = np.array([[ 1, 1], + [ 10, 867], + [354, 2]]) + assert_array_equal(actual, desired) + + +class TestBroadcast: + # tests that functions that broadcast behave + # correctly when presented with non-scalar arguments + seed = 123456789 + + def test_uniform(self): + random = Generator(MT19937(self.seed)) + low = [0] + high = [1] + uniform = random.uniform + desired = np.array([0.16693771389729, 0.19635129550675, 0.75563050964095]) + + random = Generator(MT19937(self.seed)) + actual = random.uniform(low * 3, high) + assert_array_almost_equal(actual, desired, decimal=14) + + random = Generator(MT19937(self.seed)) + actual = random.uniform(low, high * 3) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_normal(self): + loc = [0] + scale = [1] + bad_scale = [-1] + random = Generator(MT19937(self.seed)) + desired = np.array([-0.38736406738527, 0.79594375042255, 0.0197076236097]) + + random = Generator(MT19937(self.seed)) + actual = random.normal(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.normal, loc * 3, bad_scale) + + random = Generator(MT19937(self.seed)) + normal = random.normal + actual = normal(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, normal, loc, bad_scale * 3) + + def test_beta(self): + a = [1] + b = [2] + bad_a = [-1] + bad_b = [-2] + desired = np.array([0.18719338682602, 0.73234824491364, 0.17928615186455]) + + random = Generator(MT19937(self.seed)) + beta = random.beta + actual = beta(a * 3, b) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, beta, bad_a * 3, b) + assert_raises(ValueError, beta, a * 3, bad_b) + + random = Generator(MT19937(self.seed)) + actual = random.beta(a, b * 3) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_exponential(self): + scale = [1] + bad_scale = [-1] + desired = np.array([0.67245993212806, 0.21380495318094, 0.7177848928629]) + + random = Generator(MT19937(self.seed)) + actual = random.exponential(scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.exponential, bad_scale * 3) + + def test_standard_gamma(self): + shape = [1] + bad_shape = [-1] + desired = np.array([0.67245993212806, 0.21380495318094, 0.7177848928629]) + + random = Generator(MT19937(self.seed)) + std_gamma = random.standard_gamma + actual = std_gamma(shape * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, std_gamma, bad_shape * 3) + + def test_gamma(self): + shape = [1] + scale = [2] + bad_shape = [-1] + bad_scale = [-2] + desired = np.array([1.34491986425611, 0.42760990636187, 1.4355697857258]) + + random = Generator(MT19937(self.seed)) + gamma = random.gamma + actual = gamma(shape * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, gamma, bad_shape * 3, scale) + assert_raises(ValueError, gamma, shape * 3, bad_scale) + + random = Generator(MT19937(self.seed)) + gamma = random.gamma + actual = gamma(shape, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, gamma, bad_shape, scale * 3) + assert_raises(ValueError, gamma, shape, bad_scale * 3) + + def test_f(self): + dfnum = [1] + dfden = [2] + bad_dfnum = [-1] + bad_dfden = [-2] + desired = np.array([0.07765056244107, 7.72951397913186, 0.05786093891763]) + + random = Generator(MT19937(self.seed)) + f = random.f + actual = f(dfnum * 3, dfden) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, f, bad_dfnum * 3, dfden) + assert_raises(ValueError, f, dfnum * 3, bad_dfden) + + random = Generator(MT19937(self.seed)) + f = random.f + actual = f(dfnum, dfden * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, f, bad_dfnum, dfden * 3) + assert_raises(ValueError, f, dfnum, bad_dfden * 3) + + def test_noncentral_f(self): + dfnum = [2] + dfden = [3] + nonc = [4] + bad_dfnum = [0] + bad_dfden = [-1] + bad_nonc = [-2] + desired = np.array([2.02434240411421, 12.91838601070124, 1.24395160354629]) + + random = Generator(MT19937(self.seed)) + nonc_f = random.noncentral_f + actual = nonc_f(dfnum * 3, dfden, nonc) + assert_array_almost_equal(actual, desired, decimal=14) + assert np.all(np.isnan(nonc_f(dfnum, dfden, [np.nan] * 3))) + + assert_raises(ValueError, nonc_f, bad_dfnum * 3, dfden, nonc) + assert_raises(ValueError, nonc_f, dfnum * 3, bad_dfden, nonc) + assert_raises(ValueError, nonc_f, dfnum * 3, dfden, bad_nonc) + + random = Generator(MT19937(self.seed)) + nonc_f = random.noncentral_f + actual = nonc_f(dfnum, dfden * 3, nonc) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, nonc_f, bad_dfnum, dfden * 3, nonc) + assert_raises(ValueError, nonc_f, dfnum, bad_dfden * 3, nonc) + assert_raises(ValueError, nonc_f, dfnum, dfden * 3, bad_nonc) + + random = Generator(MT19937(self.seed)) + nonc_f = random.noncentral_f + actual = nonc_f(dfnum, dfden, nonc * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, nonc_f, bad_dfnum, dfden, nonc * 3) + assert_raises(ValueError, nonc_f, dfnum, bad_dfden, nonc * 3) + assert_raises(ValueError, nonc_f, dfnum, dfden, bad_nonc * 3) + + def test_noncentral_f_small_df(self): + random = Generator(MT19937(self.seed)) + desired = np.array([0.04714867120827, 0.1239390327694]) + actual = random.noncentral_f(0.9, 0.9, 2, size=2) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_chisquare(self): + df = [1] + bad_df = [-1] + desired = np.array([0.05573640064251, 1.47220224353539, 2.9469379318589]) + + random = Generator(MT19937(self.seed)) + actual = random.chisquare(df * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.chisquare, bad_df * 3) + + def test_noncentral_chisquare(self): + df = [1] + nonc = [2] + bad_df = [-1] + bad_nonc = [-2] + desired = np.array([0.07710766249436, 5.27829115110304, 0.630732147399]) + + random = Generator(MT19937(self.seed)) + nonc_chi = random.noncentral_chisquare + actual = nonc_chi(df * 3, nonc) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, nonc_chi, bad_df * 3, nonc) + assert_raises(ValueError, nonc_chi, df * 3, bad_nonc) + + random = Generator(MT19937(self.seed)) + nonc_chi = random.noncentral_chisquare + actual = nonc_chi(df, nonc * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, nonc_chi, bad_df, nonc * 3) + assert_raises(ValueError, nonc_chi, df, bad_nonc * 3) + + def test_standard_t(self): + df = [1] + bad_df = [-1] + desired = np.array([-1.39498829447098, -1.23058658835223, 0.17207021065983]) + + random = Generator(MT19937(self.seed)) + actual = random.standard_t(df * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.standard_t, bad_df * 3) + + def test_vonmises(self): + mu = [2] + kappa = [1] + bad_kappa = [-1] + desired = np.array([2.25935584988528, 2.23326261461399, -2.84152146503326]) + + random = Generator(MT19937(self.seed)) + actual = random.vonmises(mu * 3, kappa) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.vonmises, mu * 3, bad_kappa) + + random = Generator(MT19937(self.seed)) + actual = random.vonmises(mu, kappa * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.vonmises, mu, bad_kappa * 3) + + def test_pareto(self): + a = [1] + bad_a = [-1] + desired = np.array([0.95905052946317, 0.2383810889437, 1.04988745750013]) + + random = Generator(MT19937(self.seed)) + actual = random.pareto(a * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.pareto, bad_a * 3) + + def test_weibull(self): + a = [1] + bad_a = [-1] + desired = np.array([0.67245993212806, 0.21380495318094, 0.7177848928629]) + + random = Generator(MT19937(self.seed)) + actual = random.weibull(a * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.weibull, bad_a * 3) + + def test_power(self): + a = [1] + bad_a = [-1] + desired = np.array([0.48954864361052, 0.19249412888486, 0.51216834058807]) + + random = Generator(MT19937(self.seed)) + actual = random.power(a * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.power, bad_a * 3) + + def test_laplace(self): + loc = [0] + scale = [1] + bad_scale = [-1] + desired = np.array([-1.09698732625119, -0.93470271947368, 0.71592671378202]) + + random = Generator(MT19937(self.seed)) + laplace = random.laplace + actual = laplace(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, laplace, loc * 3, bad_scale) + + random = Generator(MT19937(self.seed)) + laplace = random.laplace + actual = laplace(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, laplace, loc, bad_scale * 3) + + def test_gumbel(self): + loc = [0] + scale = [1] + bad_scale = [-1] + desired = np.array([1.70020068231762, 1.52054354273631, -0.34293267607081]) + + random = Generator(MT19937(self.seed)) + gumbel = random.gumbel + actual = gumbel(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, gumbel, loc * 3, bad_scale) + + random = Generator(MT19937(self.seed)) + gumbel = random.gumbel + actual = gumbel(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, gumbel, loc, bad_scale * 3) + + def test_logistic(self): + loc = [0] + scale = [1] + bad_scale = [-1] + desired = np.array([-1.607487640433, -1.40925686003678, 1.12887112820397]) + + random = Generator(MT19937(self.seed)) + actual = random.logistic(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.logistic, loc * 3, bad_scale) + + random = Generator(MT19937(self.seed)) + actual = random.logistic(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.logistic, loc, bad_scale * 3) + assert_equal(random.logistic(1.0, 0.0), 1.0) + + def test_lognormal(self): + mean = [0] + sigma = [1] + bad_sigma = [-1] + desired = np.array([0.67884390500697, 2.21653186290321, 1.01990310084276]) + + random = Generator(MT19937(self.seed)) + lognormal = random.lognormal + actual = lognormal(mean * 3, sigma) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, lognormal, mean * 3, bad_sigma) + + random = Generator(MT19937(self.seed)) + actual = random.lognormal(mean, sigma * 3) + assert_raises(ValueError, random.lognormal, mean, bad_sigma * 3) + + def test_rayleigh(self): + scale = [1] + bad_scale = [-1] + desired = np.array( + [1.1597068009872629, + 0.6539188836253857, + 1.1981526554349398] + ) + + random = Generator(MT19937(self.seed)) + actual = random.rayleigh(scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.rayleigh, bad_scale * 3) + + def test_wald(self): + mean = [0.5] + scale = [1] + bad_mean = [0] + bad_scale = [-2] + desired = np.array([0.38052407392905, 0.50701641508592, 0.484935249864]) + + random = Generator(MT19937(self.seed)) + actual = random.wald(mean * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.wald, bad_mean * 3, scale) + assert_raises(ValueError, random.wald, mean * 3, bad_scale) + + random = Generator(MT19937(self.seed)) + actual = random.wald(mean, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, random.wald, bad_mean, scale * 3) + assert_raises(ValueError, random.wald, mean, bad_scale * 3) + + def test_triangular(self): + left = [1] + right = [3] + mode = [2] + bad_left_one = [3] + bad_mode_one = [4] + bad_left_two, bad_mode_two = right * 2 + desired = np.array([1.57781954604754, 1.62665986867957, 2.30090130831326]) + + random = Generator(MT19937(self.seed)) + triangular = random.triangular + actual = triangular(left * 3, mode, right) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, triangular, bad_left_one * 3, mode, right) + assert_raises(ValueError, triangular, left * 3, bad_mode_one, right) + assert_raises(ValueError, triangular, bad_left_two * 3, bad_mode_two, + right) + + random = Generator(MT19937(self.seed)) + triangular = random.triangular + actual = triangular(left, mode * 3, right) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, triangular, bad_left_one, mode * 3, right) + assert_raises(ValueError, triangular, left, bad_mode_one * 3, right) + assert_raises(ValueError, triangular, bad_left_two, bad_mode_two * 3, + right) + + random = Generator(MT19937(self.seed)) + triangular = random.triangular + actual = triangular(left, mode, right * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, triangular, bad_left_one, mode, right * 3) + assert_raises(ValueError, triangular, left, bad_mode_one, right * 3) + assert_raises(ValueError, triangular, bad_left_two, bad_mode_two, + right * 3) + + assert_raises(ValueError, triangular, 10., 0., 20.) + assert_raises(ValueError, triangular, 10., 25., 20.) + assert_raises(ValueError, triangular, 10., 10., 10.) + + def test_binomial(self): + n = [1] + p = [0.5] + bad_n = [-1] + bad_p_one = [-1] + bad_p_two = [1.5] + desired = np.array([0, 0, 1]) + + random = Generator(MT19937(self.seed)) + binom = random.binomial + actual = binom(n * 3, p) + assert_array_equal(actual, desired) + assert_raises(ValueError, binom, bad_n * 3, p) + assert_raises(ValueError, binom, n * 3, bad_p_one) + assert_raises(ValueError, binom, n * 3, bad_p_two) + + random = Generator(MT19937(self.seed)) + actual = random.binomial(n, p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, binom, bad_n, p * 3) + assert_raises(ValueError, binom, n, bad_p_one * 3) + assert_raises(ValueError, binom, n, bad_p_two * 3) + + def test_negative_binomial(self): + n = [1] + p = [0.5] + bad_n = [-1] + bad_p_one = [-1] + bad_p_two = [1.5] + desired = np.array([0, 2, 1], dtype=np.int64) + + random = Generator(MT19937(self.seed)) + neg_binom = random.negative_binomial + actual = neg_binom(n * 3, p) + assert_array_equal(actual, desired) + assert_raises(ValueError, neg_binom, bad_n * 3, p) + assert_raises(ValueError, neg_binom, n * 3, bad_p_one) + assert_raises(ValueError, neg_binom, n * 3, bad_p_two) + + random = Generator(MT19937(self.seed)) + neg_binom = random.negative_binomial + actual = neg_binom(n, p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, neg_binom, bad_n, p * 3) + assert_raises(ValueError, neg_binom, n, bad_p_one * 3) + assert_raises(ValueError, neg_binom, n, bad_p_two * 3) + + def test_poisson(self): + + lam = [1] + bad_lam_one = [-1] + desired = np.array([0, 0, 3]) + + random = Generator(MT19937(self.seed)) + max_lam = random._poisson_lam_max + bad_lam_two = [max_lam * 2] + poisson = random.poisson + actual = poisson(lam * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, poisson, bad_lam_one * 3) + assert_raises(ValueError, poisson, bad_lam_two * 3) + + def test_zipf(self): + a = [2] + bad_a = [0] + desired = np.array([1, 8, 1]) + + random = Generator(MT19937(self.seed)) + zipf = random.zipf + actual = zipf(a * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, zipf, bad_a * 3) + with np.errstate(invalid='ignore'): + assert_raises(ValueError, zipf, np.nan) + assert_raises(ValueError, zipf, [0, 0, np.nan]) + + def test_geometric(self): + p = [0.5] + bad_p_one = [-1] + bad_p_two = [1.5] + desired = np.array([1, 1, 3]) + + random = Generator(MT19937(self.seed)) + geometric = random.geometric + actual = geometric(p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, geometric, bad_p_one * 3) + assert_raises(ValueError, geometric, bad_p_two * 3) + + def test_hypergeometric(self): + ngood = [1] + nbad = [2] + nsample = [2] + bad_ngood = [-1] + bad_nbad = [-2] + bad_nsample_one = [-1] + bad_nsample_two = [4] + desired = np.array([0, 0, 1]) + + random = Generator(MT19937(self.seed)) + actual = random.hypergeometric(ngood * 3, nbad, nsample) + assert_array_equal(actual, desired) + assert_raises(ValueError, random.hypergeometric, bad_ngood * 3, nbad, nsample) + assert_raises(ValueError, random.hypergeometric, ngood * 3, bad_nbad, nsample) + assert_raises(ValueError, random.hypergeometric, ngood * 3, nbad, bad_nsample_one) # noqa: E501 + assert_raises(ValueError, random.hypergeometric, ngood * 3, nbad, bad_nsample_two) # noqa: E501 + + random = Generator(MT19937(self.seed)) + actual = random.hypergeometric(ngood, nbad * 3, nsample) + assert_array_equal(actual, desired) + assert_raises(ValueError, random.hypergeometric, bad_ngood, nbad * 3, nsample) + assert_raises(ValueError, random.hypergeometric, ngood, bad_nbad * 3, nsample) + assert_raises(ValueError, random.hypergeometric, ngood, nbad * 3, bad_nsample_one) # noqa: E501 + assert_raises(ValueError, random.hypergeometric, ngood, nbad * 3, bad_nsample_two) # noqa: E501 + + random = Generator(MT19937(self.seed)) + hypergeom = random.hypergeometric + actual = hypergeom(ngood, nbad, nsample * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, hypergeom, bad_ngood, nbad, nsample * 3) + assert_raises(ValueError, hypergeom, ngood, bad_nbad, nsample * 3) + assert_raises(ValueError, hypergeom, ngood, nbad, bad_nsample_one * 3) + assert_raises(ValueError, hypergeom, ngood, nbad, bad_nsample_two * 3) + + assert_raises(ValueError, hypergeom, -1, 10, 20) + assert_raises(ValueError, hypergeom, 10, -1, 20) + assert_raises(ValueError, hypergeom, 10, 10, -1) + assert_raises(ValueError, hypergeom, 10, 10, 25) + + # ValueError for arguments that are too big. + assert_raises(ValueError, hypergeom, 2**30, 10, 20) + assert_raises(ValueError, hypergeom, 999, 2**31, 50) + assert_raises(ValueError, hypergeom, 999, [2**29, 2**30], 1000) + + def test_logseries(self): + p = [0.5] + bad_p_one = [2] + bad_p_two = [-1] + desired = np.array([1, 1, 1]) + + random = Generator(MT19937(self.seed)) + logseries = random.logseries + actual = logseries(p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, logseries, bad_p_one * 3) + assert_raises(ValueError, logseries, bad_p_two * 3) + + def test_multinomial(self): + random = Generator(MT19937(self.seed)) + actual = random.multinomial([5, 20], [1 / 6.] * 6, size=(3, 2)) + desired = np.array([[[0, 0, 2, 1, 2, 0], + [2, 3, 6, 4, 2, 3]], + [[1, 0, 1, 0, 2, 1], + [7, 2, 2, 1, 4, 4]], + [[0, 2, 0, 1, 2, 0], + [3, 2, 3, 3, 4, 5]]], dtype=np.int64) + assert_array_equal(actual, desired) + + random = Generator(MT19937(self.seed)) + actual = random.multinomial([5, 20], [1 / 6.] * 6) + desired = np.array([[0, 0, 2, 1, 2, 0], + [2, 3, 6, 4, 2, 3]], dtype=np.int64) + assert_array_equal(actual, desired) + + random = Generator(MT19937(self.seed)) + actual = random.multinomial([5, 20], [[1 / 6.] * 6] * 2) + desired = np.array([[0, 0, 2, 1, 2, 0], + [2, 3, 6, 4, 2, 3]], dtype=np.int64) + assert_array_equal(actual, desired) + + random = Generator(MT19937(self.seed)) + actual = random.multinomial([[5], [20]], [[1 / 6.] * 6] * 2) + desired = np.array([[[0, 0, 2, 1, 2, 0], + [0, 0, 2, 1, 1, 1]], + [[4, 2, 3, 3, 5, 3], + [7, 2, 2, 1, 4, 4]]], dtype=np.int64) + assert_array_equal(actual, desired) + + @pytest.mark.parametrize("n", [10, + np.array([10, 10]), + np.array([[[10]], [[10]]]) + ] + ) + def test_multinomial_pval_broadcast(self, n): + random = Generator(MT19937(self.seed)) + pvals = np.array([1 / 4] * 4) + actual = random.multinomial(n, pvals) + n_shape = () if isinstance(n, int) else n.shape + expected_shape = n_shape + (4,) + assert actual.shape == expected_shape + pvals = np.vstack([pvals, pvals]) + actual = random.multinomial(n, pvals) + expected_shape = np.broadcast_shapes(n_shape, pvals.shape[:-1]) + (4,) + assert actual.shape == expected_shape + + pvals = np.vstack([[pvals], [pvals]]) + actual = random.multinomial(n, pvals) + expected_shape = np.broadcast_shapes(n_shape, pvals.shape[:-1]) + assert actual.shape == expected_shape + (4,) + actual = random.multinomial(n, pvals, size=(3, 2) + expected_shape) + assert actual.shape == (3, 2) + expected_shape + (4,) + + with pytest.raises(ValueError): + # Ensure that size is not broadcast + actual = random.multinomial(n, pvals, size=(1,) * 6) + + def test_invalid_pvals_broadcast(self): + random = Generator(MT19937(self.seed)) + pvals = [[1 / 6] * 6, [1 / 4] * 6] + assert_raises(ValueError, random.multinomial, 1, pvals) + assert_raises(ValueError, random.multinomial, 6, 0.5) + + def test_empty_outputs(self): + random = Generator(MT19937(self.seed)) + actual = random.multinomial(np.empty((10, 0, 6), "i8"), [1 / 6] * 6) + assert actual.shape == (10, 0, 6, 6) + actual = random.multinomial(12, np.empty((10, 0, 10))) + assert actual.shape == (10, 0, 10) + actual = random.multinomial(np.empty((3, 0, 7), "i8"), + np.empty((3, 0, 7, 4))) + assert actual.shape == (3, 0, 7, 4) + + +@pytest.mark.skipif(IS_WASM, reason="can't start thread") +class TestThread: + # make sure each state produces the same sequence even in threads + seeds = range(4) + + def check_function(self, function, sz): + from threading import Thread + + out1 = np.empty((len(self.seeds),) + sz) + out2 = np.empty((len(self.seeds),) + sz) + + # threaded generation + t = [Thread(target=function, args=(Generator(MT19937(s)), o)) + for s, o in zip(self.seeds, out1)] + [x.start() for x in t] + [x.join() for x in t] + + # the same serial + for s, o in zip(self.seeds, out2): + function(Generator(MT19937(s)), o) + + # these platforms change x87 fpu precision mode in threads + if np.intp().dtype.itemsize == 4 and sys.platform == "win32": + assert_array_almost_equal(out1, out2) + else: + assert_array_equal(out1, out2) + + def test_normal(self): + def gen_random(state, out): + out[...] = state.normal(size=10000) + + self.check_function(gen_random, sz=(10000,)) + + def test_exp(self): + def gen_random(state, out): + out[...] = state.exponential(scale=np.ones((100, 1000))) + + self.check_function(gen_random, sz=(100, 1000)) + + def test_multinomial(self): + def gen_random(state, out): + out[...] = state.multinomial(10, [1 / 6.] * 6, size=10000) + + self.check_function(gen_random, sz=(10000, 6)) + + +# See Issue #4263 +class TestSingleEltArrayInput: + def _create_arrays(self): + return np.array([2]), np.array([3]), np.array([4]), (1,) + + def test_one_arg_funcs(self): + argOne, _, _, tgtShape = self._create_arrays() + funcs = (random.exponential, random.standard_gamma, + random.chisquare, random.standard_t, + random.pareto, random.weibull, + random.power, random.rayleigh, + random.poisson, random.zipf, + random.geometric, random.logseries) + + probfuncs = (random.geometric, random.logseries) + + for func in funcs: + if func in probfuncs: # p < 1.0 + out = func(np.array([0.5])) + + else: + out = func(argOne) + + assert_equal(out.shape, tgtShape) + + def test_two_arg_funcs(self): + argOne, argTwo, _, tgtShape = self._create_arrays() + funcs = (random.uniform, random.normal, + random.beta, random.gamma, + random.f, random.noncentral_chisquare, + random.vonmises, random.laplace, + random.gumbel, random.logistic, + random.lognormal, random.wald, + random.binomial, random.negative_binomial) + + probfuncs = (random.binomial, random.negative_binomial) + + for func in funcs: + if func in probfuncs: # p <= 1 + argTwo = np.array([0.5]) + + else: + argTwo = argTwo + + out = func(argOne, argTwo) + assert_equal(out.shape, tgtShape) + + out = func(argOne[0], argTwo) + assert_equal(out.shape, tgtShape) + + out = func(argOne, argTwo[0]) + assert_equal(out.shape, tgtShape) + + def test_integers(self, endpoint): + _, _, _, tgtShape = self._create_arrays() + itype = [np.bool, np.int8, np.uint8, np.int16, np.uint16, + np.int32, np.uint32, np.int64, np.uint64] + func = random.integers + high = np.array([1]) + low = np.array([0]) + + for dt in itype: + out = func(low, high, endpoint=endpoint, dtype=dt) + assert_equal(out.shape, tgtShape) + + out = func(low[0], high, endpoint=endpoint, dtype=dt) + assert_equal(out.shape, tgtShape) + + out = func(low, high[0], endpoint=endpoint, dtype=dt) + assert_equal(out.shape, tgtShape) + + def test_three_arg_funcs(self): + argOne, argTwo, argThree, tgtShape = self._create_arrays() + funcs = [random.noncentral_f, random.triangular, + random.hypergeometric] + + for func in funcs: + out = func(argOne, argTwo, argThree) + assert_equal(out.shape, tgtShape) + + out = func(argOne[0], argTwo, argThree) + assert_equal(out.shape, tgtShape) + + out = func(argOne, argTwo[0], argThree) + assert_equal(out.shape, tgtShape) + + +@pytest.mark.parametrize("config", JUMP_TEST_DATA) +def test_jumped(config): + # Each config contains the initial seed, a number of raw steps + # the sha256 hashes of the initial and the final states' keys and + # the position of the initial and the final state. + # These were produced using the original C implementation. + seed = config["seed"] + steps = config["steps"] + + mt19937 = MT19937(seed) + # Burn step + mt19937.random_raw(steps) + key = mt19937.state["state"]["key"] + if sys.byteorder == 'big': + key = key.byteswap() + sha256 = hashlib.sha256(key) + assert mt19937.state["state"]["pos"] == config["initial"]["pos"] + assert sha256.hexdigest() == config["initial"]["key_sha256"] + + jumped = mt19937.jumped() + key = jumped.state["state"]["key"] + if sys.byteorder == 'big': + key = key.byteswap() + sha256 = hashlib.sha256(key) + assert jumped.state["state"]["pos"] == config["jumped"]["pos"] + assert sha256.hexdigest() == config["jumped"]["key_sha256"] + + +def test_broadcast_size_error(): + mu = np.ones(3) + sigma = np.ones((4, 3)) + size = (10, 4, 2) + assert random.normal(mu, sigma, size=(5, 4, 3)).shape == (5, 4, 3) + with pytest.raises(ValueError): + random.normal(mu, sigma, size=size) + with pytest.raises(ValueError): + random.normal(mu, sigma, size=(1, 3)) + with pytest.raises(ValueError): + random.normal(mu, sigma, size=(4, 1, 1)) + # 1 arg + shape = np.ones((4, 3)) + with pytest.raises(ValueError): + random.standard_gamma(shape, size=size) + with pytest.raises(ValueError): + random.standard_gamma(shape, size=(3,)) + with pytest.raises(ValueError): + random.standard_gamma(shape, size=3) + # Check out + out = np.empty(size) + with pytest.raises(ValueError): + random.standard_gamma(shape, out=out) + + # 2 arg + with pytest.raises(ValueError): + random.binomial(1, [0.3, 0.7], size=(2, 1)) + with pytest.raises(ValueError): + random.binomial([1, 2], 0.3, size=(2, 1)) + with pytest.raises(ValueError): + random.binomial([1, 2], [0.3, 0.7], size=(2, 1)) + with pytest.raises(ValueError): + random.multinomial([2, 2], [.3, .7], size=(2, 1)) + + # 3 arg + a = random.chisquare(5, size=3) + b = random.chisquare(5, size=(4, 3)) + c = random.chisquare(5, size=(5, 4, 3)) + assert random.noncentral_f(a, b, c).shape == (5, 4, 3) + with pytest.raises(ValueError, match=r"Output size \(6, 5, 1, 1\) is"): + random.noncentral_f(a, b, c, size=(6, 5, 1, 1)) + + +def test_broadcast_size_scalar(): + mu = np.ones(3) + sigma = np.ones(3) + random.normal(mu, sigma, size=3) + with pytest.raises(ValueError): + random.normal(mu, sigma, size=2) + + +def test_ragged_shuffle(): + # GH 18142 + seq = [[], [], 1] + gen = Generator(MT19937(0)) + assert_no_warnings(gen.shuffle, seq) + assert seq == [1, [], []] + + +@pytest.mark.parametrize("high", [-2, [-2]]) +@pytest.mark.parametrize("endpoint", [True, False]) +def test_single_arg_integer_exception(high, endpoint): + # GH 14333 + gen = Generator(MT19937(0)) + msg = 'high < 0' if endpoint else 'high <= 0' + with pytest.raises(ValueError, match=msg): + gen.integers(high, endpoint=endpoint) + msg = 'low > high' if endpoint else 'low >= high' + with pytest.raises(ValueError, match=msg): + gen.integers(-1, high, endpoint=endpoint) + with pytest.raises(ValueError, match=msg): + gen.integers([-1], high, endpoint=endpoint) + + +@pytest.mark.parametrize("dtype", ["f4", "f8"]) +def test_c_contig_req_out(dtype): + # GH 18704 + out = np.empty((2, 3), order="F", dtype=dtype) + shape = [1, 2, 3] + with pytest.raises(ValueError, match="Supplied output array"): + random.standard_gamma(shape, out=out, dtype=dtype) + with pytest.raises(ValueError, match="Supplied output array"): + random.standard_gamma(shape, out=out, size=out.shape, dtype=dtype) + + +@pytest.mark.parametrize("dtype", ["f4", "f8"]) +@pytest.mark.parametrize("order", ["F", "C"]) +@pytest.mark.parametrize("dist", [random.standard_normal, random.random]) +def test_contig_req_out(dist, order, dtype): + # GH 18704 + out = np.empty((2, 3), dtype=dtype, order=order) + variates = dist(out=out, dtype=dtype) + assert variates is out + variates = dist(out=out, dtype=dtype, size=out.shape) + assert variates is out + + +def test_generator_ctor_old_style_pickle(): + rg = np.random.Generator(np.random.PCG64DXSM(0)) + rg.standard_normal(1) + # Directly call reduce which is used in pickling + ctor, (bit_gen, ), _ = rg.__reduce__() + # Simulate unpickling an old pickle that only has the name + assert bit_gen.__class__.__name__ == "PCG64DXSM" + print(ctor) + b = ctor(*("PCG64DXSM",)) + print(b) + b.bit_generator.state = bit_gen.state + state_b = b.bit_generator.state + assert bit_gen.state == state_b + + +def test_pickle_preserves_seed_sequence(): + # GH 26234 + # Add explicit test that bit generators preserve seed sequences + import pickle + + rg = np.random.Generator(np.random.PCG64DXSM(20240411)) + ss = rg.bit_generator.seed_seq + rg_plk = pickle.loads(pickle.dumps(rg)) + ss_plk = rg_plk.bit_generator.seed_seq + assert_equal(ss.state, ss_plk.state) + assert_equal(ss.pool, ss_plk.pool) + + rg.bit_generator.seed_seq.spawn(10) + rg_plk = pickle.loads(pickle.dumps(rg)) + ss_plk = rg_plk.bit_generator.seed_seq + assert_equal(ss.state, ss_plk.state) + + +@pytest.mark.parametrize("version", [121, 126]) +def test_legacy_pickle(version): + # Pickling format was changes in 1.22.x and in 2.0.x + import gzip + import pickle + + base_path = os.path.split(os.path.abspath(__file__))[0] + pkl_file = os.path.join( + base_path, "data", f"generator_pcg64_np{version}.pkl.gz" + ) + with gzip.open(pkl_file) as gz: + rg = pickle.load(gz) + state = rg.bit_generator.state['state'] + + assert isinstance(rg, Generator) + assert isinstance(rg.bit_generator, np.random.PCG64) + assert state['state'] == 35399562948360463058890781895381311971 + assert state['inc'] == 87136372517582989555478159403783844777 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_generator_mt19937_regressions.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_generator_mt19937_regressions.py new file mode 100644 index 0000000000000000000000000000000000000000..21093ef73eb6a1632389b7286c0798e5ec7f43de --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_generator_mt19937_regressions.py @@ -0,0 +1,221 @@ +import pytest + +import numpy as np +from numpy.random import MT19937, Generator +from numpy.testing import assert_, assert_array_equal + + +class TestRegression: + def _create_generator(self): + return Generator(MT19937(121263137472525314065)) + + def test_vonmises_range(self): + # Make sure generated random variables are in [-pi, pi]. + # Regression test for ticket #986. + mt19937 = self._create_generator() + for mu in np.linspace(-7., 7., 5): + r = mt19937.vonmises(mu, 1, 50) + assert_(np.all(r > -np.pi) and np.all(r <= np.pi)) + + def test_hypergeometric_range(self): + # Test for ticket #921 + mt19937 = self._create_generator() + assert_(np.all(mt19937.hypergeometric(3, 18, 11, size=10) < 4)) + assert_(np.all(mt19937.hypergeometric(18, 3, 11, size=10) > 0)) + + # Test for ticket #5623 + args = (2**20 - 2, 2**20 - 2, 2**20 - 2) # Check for 32-bit systems + assert_(mt19937.hypergeometric(*args) > 0) + + def test_logseries_convergence(self): + # Test for ticket #923 + mt19937 = self._create_generator() + N = 1000 + rvsn = mt19937.logseries(0.8, size=N) + # these two frequency counts should be close to theoretical + # numbers with this large sample + # theoretical large N result is 0.49706795 + freq = np.sum(rvsn == 1) / N + msg = f'Frequency was {freq:f}, should be > 0.45' + assert_(freq > 0.45, msg) + # theoretical large N result is 0.19882718 + freq = np.sum(rvsn == 2) / N + msg = f'Frequency was {freq:f}, should be < 0.23' + assert_(freq < 0.23, msg) + + def test_shuffle_mixed_dimension(self): + # Test for trac ticket #2074 + for t in [[1, 2, 3, None], + [(1, 1), (2, 2), (3, 3), None], + [1, (2, 2), (3, 3), None], + [(1, 1), 2, 3, None]]: + mt19937 = Generator(MT19937(12345)) + shuffled = np.array(t, dtype=object) + mt19937.shuffle(shuffled) + expected = np.array([t[2], t[0], t[3], t[1]], dtype=object) + assert_array_equal(np.array(shuffled, dtype=object), expected) + + def test_call_within_randomstate(self): + # Check that custom BitGenerator does not call into global state + res = np.array([1, 8, 0, 1, 5, 3, 3, 8, 1, 4]) + for i in range(3): + mt19937 = Generator(MT19937(i)) + m = Generator(MT19937(4321)) + # If m.state is not honored, the result will change + assert_array_equal(m.choice(10, size=10, p=np.ones(10) / 10.), res) + + def test_multivariate_normal_size_types(self): + # Test for multivariate_normal issue with 'size' argument. + # Check that the multivariate_normal size argument can be a + # numpy integer. + mt19937 = self._create_generator() + mt19937.multivariate_normal([0], [[0]], size=1) + mt19937.multivariate_normal([0], [[0]], size=np.int_(1)) + mt19937.multivariate_normal([0], [[0]], size=np.int64(1)) + + def test_beta_small_parameters(self): + # Test that beta with small a and b parameters does not produce + # NaNs due to roundoff errors causing 0 / 0, gh-5851 + mt19937 = self._create_generator() + x = mt19937.beta(0.0001, 0.0001, size=100) + assert_(not np.any(np.isnan(x)), 'Nans in mt19937.beta') + + def test_beta_very_small_parameters(self): + # gh-24203: beta would hang with very small parameters. + mt19937 = self._create_generator() + mt19937.beta(1e-49, 1e-40) + + def test_beta_ridiculously_small_parameters(self): + # gh-24266: beta would generate nan when the parameters + # were subnormal or a small multiple of the smallest normal. + mt19937 = self._create_generator() + tiny = np.finfo(1.0).tiny + x = mt19937.beta(tiny / 32, tiny / 40, size=50) + assert not np.any(np.isnan(x)) + + def test_beta_expected_zero_frequency(self): + # gh-24475: For small a and b (e.g. a=0.0025, b=0.0025), beta + # would generate too many zeros. + mt19937 = self._create_generator() + a = 0.0025 + b = 0.0025 + n = 1000000 + x = mt19937.beta(a, b, size=n) + nzeros = np.count_nonzero(x == 0) + # beta CDF at x = np.finfo(np.double).smallest_subnormal/2 + # is p = 0.0776169083131899, e.g, + # + # import numpy as np + # from mpmath import mp + # mp.dps = 160 + # x = mp.mpf(np.finfo(np.float64).smallest_subnormal)/2 + # # CDF of the beta distribution at x: + # p = mp.betainc(a, b, x1=0, x2=x, regularized=True) + # n = 1000000 + # exprected_freq = float(n*p) + # + expected_freq = 77616.90831318991 + assert 0.95 * expected_freq < nzeros < 1.05 * expected_freq + + def test_choice_sum_of_probs_tolerance(self): + # The sum of probs should be 1.0 with some tolerance. + # For low precision dtypes the tolerance was too tight. + # See numpy github issue 6123. + mt19937 = self._create_generator() + a = [1, 2, 3] + counts = [4, 4, 2] + for dt in np.float16, np.float32, np.float64: + probs = np.array(counts, dtype=dt) / sum(counts) + c = mt19937.choice(a, p=probs) + assert_(c in a) + with pytest.raises(ValueError): + mt19937.choice(a, p=probs * 0.9) + + def test_shuffle_of_array_of_different_length_strings(self): + # Test that permuting an array of different length strings + # will not cause a segfault on garbage collection + # Tests gh-7710 + mt19937 = self._create_generator() + + a = np.array(['a', 'a' * 1000]) + + for _ in range(100): + mt19937.shuffle(a) + + # Force Garbage Collection - should not segfault. + import gc + gc.collect() + + def test_shuffle_of_array_of_objects(self): + # Test that permuting an array of objects will not cause + # a segfault on garbage collection. + # See gh-7719 + mt19937 = self._create_generator() + a = np.array([np.arange(1), np.arange(4)], dtype=object) + + for _ in range(1000): + mt19937.shuffle(a) + + # Force Garbage Collection - should not segfault. + import gc + gc.collect() + + def test_permutation_subclass(self): + + class N(np.ndarray): + pass + + mt19937 = Generator(MT19937(1)) + orig = np.arange(3).view(N) + perm = mt19937.permutation(orig) + assert_array_equal(perm, np.array([2, 0, 1])) + assert_array_equal(orig, np.arange(3).view(N)) + + class M: + a = np.arange(5) + + def __array__(self, dtype=None, copy=None): + return self.a + + mt19937 = Generator(MT19937(1)) + m = M() + perm = mt19937.permutation(m) + assert_array_equal(perm, np.array([4, 1, 3, 0, 2])) + assert_array_equal(m.__array__(), np.arange(5)) + + def test_gamma_0(self): + mt19937 = self._create_generator() + assert mt19937.standard_gamma(0.0) == 0.0 + assert_array_equal(mt19937.standard_gamma([0.0]), 0.0) + + actual = mt19937.standard_gamma([0.0], dtype='float') + expected = np.array([0.], dtype=np.float32) + assert_array_equal(actual, expected) + + def test_geometric_tiny_prob(self): + # Regression test for gh-17007. + # When p = 1e-30, the probability that a sample will exceed 2**63-1 + # is 0.9999999999907766, so we expect the result to be all 2**63-1. + mt19937 = self._create_generator() + assert_array_equal(mt19937.geometric(p=1e-30, size=3), + np.iinfo(np.int64).max) + + def test_zipf_large_parameter(self): + # Regression test for part of gh-9829: a call such as rng.zipf(10000) + # would hang. + mt19937 = self._create_generator() + n = 8 + sample = mt19937.zipf(10000, size=n) + assert_array_equal(sample, np.ones(n, dtype=np.int64)) + + def test_zipf_a_near_1(self): + # Regression test for gh-9829: a call such as rng.zipf(1.0000000000001) + # would hang. + mt19937 = self._create_generator() + n = 100000 + sample = mt19937.zipf(1.0000000000001, size=n) + # Not much of a test, but let's do something more than verify that + # it doesn't hang. Certainly for a monotonically decreasing + # discrete distribution truncated to signed 64 bit integers, more + # than half should be less than 2**62. + assert np.count_nonzero(sample < 2**62) > n / 2 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_random.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_random.py new file mode 100644 index 0000000000000000000000000000000000000000..f110aa892b31ba5a614a4ba0b3b664bfcbc09094 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_random.py @@ -0,0 +1,1724 @@ +import sys +import warnings + +import pytest + +import numpy as np +from numpy import random +from numpy.testing import ( + IS_WASM, + assert_, + assert_array_almost_equal, + assert_array_equal, + assert_equal, + assert_no_warnings, + assert_raises, +) + + +class TestSeed: + def test_scalar(self): + s = np.random.RandomState(0) + assert_equal(s.randint(1000), 684) + s = np.random.RandomState(4294967295) + assert_equal(s.randint(1000), 419) + + def test_array(self): + s = np.random.RandomState(range(10)) + assert_equal(s.randint(1000), 468) + s = np.random.RandomState(np.arange(10)) + assert_equal(s.randint(1000), 468) + s = np.random.RandomState([0]) + assert_equal(s.randint(1000), 973) + s = np.random.RandomState([4294967295]) + assert_equal(s.randint(1000), 265) + + def test_invalid_scalar(self): + # seed must be an unsigned 32 bit integer + assert_raises(TypeError, np.random.RandomState, -0.5) + assert_raises(ValueError, np.random.RandomState, -1) + + def test_invalid_array(self): + # seed must be an unsigned 32 bit integer + assert_raises(TypeError, np.random.RandomState, [-0.5]) + assert_raises(ValueError, np.random.RandomState, [-1]) + assert_raises(ValueError, np.random.RandomState, [4294967296]) + assert_raises(ValueError, np.random.RandomState, [1, 2, 4294967296]) + assert_raises(ValueError, np.random.RandomState, [1, -2, 4294967296]) + + def test_invalid_array_shape(self): + # gh-9832 + assert_raises(ValueError, np.random.RandomState, + np.array([], dtype=np.int64)) + assert_raises(ValueError, np.random.RandomState, [[1, 2, 3]]) + assert_raises(ValueError, np.random.RandomState, [[1, 2, 3], + [4, 5, 6]]) + + +class TestBinomial: + def test_n_zero(self): + # Tests the corner case of n == 0 for the binomial distribution. + # binomial(0, p) should be zero for any p in [0, 1]. + # This test addresses issue #3480. + zeros = np.zeros(2, dtype='int') + for p in [0, .5, 1]: + assert_(random.binomial(0, p) == 0) + assert_array_equal(random.binomial(zeros, p), zeros) + + def test_p_is_nan(self): + # Issue #4571. + assert_raises(ValueError, random.binomial, 1, np.nan) + + +class TestMultinomial: + def test_basic(self): + random.multinomial(100, [0.2, 0.8]) + + def test_zero_probability(self): + random.multinomial(100, [0.2, 0.8, 0.0, 0.0, 0.0]) + + def test_int_negative_interval(self): + assert_(-5 <= random.randint(-5, -1) < -1) + x = random.randint(-5, -1, 5) + assert_(np.all(-5 <= x)) + assert_(np.all(x < -1)) + + def test_size(self): + # gh-3173 + p = [0.5, 0.5] + assert_equal(np.random.multinomial(1, p, np.uint32(1)).shape, (1, 2)) + assert_equal(np.random.multinomial(1, p, np.uint32(1)).shape, (1, 2)) + assert_equal(np.random.multinomial(1, p, np.uint32(1)).shape, (1, 2)) + assert_equal(np.random.multinomial(1, p, [2, 2]).shape, (2, 2, 2)) + assert_equal(np.random.multinomial(1, p, (2, 2)).shape, (2, 2, 2)) + assert_equal(np.random.multinomial(1, p, np.array((2, 2))).shape, + (2, 2, 2)) + + assert_raises(TypeError, np.random.multinomial, 1, p, + float(1)) + + def test_multidimensional_pvals(self): + assert_raises(ValueError, np.random.multinomial, 10, [[0, 1]]) + assert_raises(ValueError, np.random.multinomial, 10, [[0], [1]]) + assert_raises(ValueError, np.random.multinomial, 10, [[[0], [1]], [[1], [0]]]) + assert_raises(ValueError, np.random.multinomial, 10, np.array([[0, 1], [1, 0]])) + + +class TestSetState: + def _create_rng(self): + seed = 1234567890 + prng = random.RandomState(seed) + state = prng.get_state() + return prng, state + + def test_basic(self): + prng, state = self._create_rng() + old = prng.tomaxint(16) + prng.set_state(state) + new = prng.tomaxint(16) + assert_(np.all(old == new)) + + def test_gaussian_reset(self): + # Make sure the cached every-other-Gaussian is reset. + prng, state = self._create_rng() + old = prng.standard_normal(size=3) + prng.set_state(state) + new = prng.standard_normal(size=3) + assert_(np.all(old == new)) + + def test_gaussian_reset_in_media_res(self): + # When the state is saved with a cached Gaussian, make sure the + # cached Gaussian is restored. + prng, state = self._create_rng() + prng.standard_normal() + state = prng.get_state() + old = prng.standard_normal(size=3) + prng.set_state(state) + new = prng.standard_normal(size=3) + assert_(np.all(old == new)) + + def test_backwards_compatibility(self): + # Make sure we can accept old state tuples that do not have the + # cached Gaussian value. + prng, state = self._create_rng() + old_state = state[:-2] + x1 = prng.standard_normal(size=16) + prng.set_state(old_state) + x2 = prng.standard_normal(size=16) + prng.set_state(state) + x3 = prng.standard_normal(size=16) + assert_(np.all(x1 == x2)) + assert_(np.all(x1 == x3)) + + def test_negative_binomial(self): + # Ensure that the negative binomial results take floating point + # arguments without truncation. + prng, _ = self._create_rng() + prng.negative_binomial(0.5, 0.5) + + def test_set_invalid_state(self): + # gh-25402 + prng, _ = self._create_rng() + with pytest.raises(IndexError): + prng.set_state(()) + + +class TestRandint: + + # valid integer/boolean types + itype = [np.bool, np.int8, np.uint8, np.int16, np.uint16, + np.int32, np.uint32, np.int64, np.uint64] + + def test_unsupported_type(self): + rng = random.RandomState() + assert_raises(TypeError, rng.randint, 1, dtype=float) + + def test_bounds_checking(self): + rng = random.RandomState() + for dt in self.itype: + lbnd = 0 if dt is np.bool else np.iinfo(dt).min + ubnd = 2 if dt is np.bool else np.iinfo(dt).max + 1 + assert_raises(ValueError, rng.randint, lbnd - 1, ubnd, dtype=dt) + assert_raises(ValueError, rng.randint, lbnd, ubnd + 1, dtype=dt) + assert_raises(ValueError, rng.randint, ubnd, lbnd, dtype=dt) + assert_raises(ValueError, rng.randint, 1, 0, dtype=dt) + + def test_rng_zero_and_extremes(self): + rng = random.RandomState() + for dt in self.itype: + lbnd = 0 if dt is np.bool else np.iinfo(dt).min + ubnd = 2 if dt is np.bool else np.iinfo(dt).max + 1 + + tgt = ubnd - 1 + assert_equal(rng.randint(tgt, tgt + 1, size=1000, dtype=dt), tgt) + + tgt = lbnd + assert_equal(rng.randint(tgt, tgt + 1, size=1000, dtype=dt), tgt) + + tgt = (lbnd + ubnd) // 2 + assert_equal(rng.randint(tgt, tgt + 1, size=1000, dtype=dt), tgt) + + def test_full_range(self): + # Test for ticket #1690 + rng = random.RandomState() + + for dt in self.itype: + lbnd = 0 if dt is np.bool else np.iinfo(dt).min + ubnd = 2 if dt is np.bool else np.iinfo(dt).max + 1 + + try: + rng.randint(lbnd, ubnd, dtype=dt) + except Exception as e: + raise AssertionError("No error should have been raised, " + "but one was with the following " + "message:\n\n%s" % str(e)) + + def test_in_bounds_fuzz(self): + # Don't use fixed seed + rng = random.RandomState() + + for dt in self.itype[1:]: + for ubnd in [4, 8, 16]: + vals = rng.randint(2, ubnd, size=2**16, dtype=dt) + assert_(vals.max() < ubnd) + assert_(vals.min() >= 2) + + vals = rng.randint(0, 2, size=2**16, dtype=np.bool) + + assert_(vals.max() < 2) + assert_(vals.min() >= 0) + + def test_repeatability(self): + import hashlib + # We use a sha256 hash of generated sequences of 1000 samples + # in the range [0, 6) for all but bool, where the range + # is [0, 2). Hashes are for little endian numbers. + tgt = {'bool': '509aea74d792fb931784c4b0135392c65aec64beee12b0cc167548a2c3d31e71', # noqa: E501 + 'int16': '7b07f1a920e46f6d0fe02314155a2330bcfd7635e708da50e536c5ebb631a7d4', # noqa: E501 + 'int32': 'e577bfed6c935de944424667e3da285012e741892dcb7051a8f1ce68ab05c92f', # noqa: E501 + 'int64': '0fbead0b06759df2cfb55e43148822d4a1ff953c7eb19a5b08445a63bb64fa9e', # noqa: E501 + 'int8': '001aac3a5acb935a9b186cbe14a1ca064b8bb2dd0b045d48abeacf74d0203404', # noqa: E501 + 'uint16': '7b07f1a920e46f6d0fe02314155a2330bcfd7635e708da50e536c5ebb631a7d4', # noqa: E501 + 'uint32': 'e577bfed6c935de944424667e3da285012e741892dcb7051a8f1ce68ab05c92f', # noqa: E501 + 'uint64': '0fbead0b06759df2cfb55e43148822d4a1ff953c7eb19a5b08445a63bb64fa9e', # noqa: E501 + 'uint8': '001aac3a5acb935a9b186cbe14a1ca064b8bb2dd0b045d48abeacf74d0203404'} # noqa: E501 + + for dt in self.itype[1:]: + rng = random.RandomState(1234) + + # view as little endian for hash + if sys.byteorder == 'little': + val = rng.randint(0, 6, size=1000, dtype=dt) + else: + val = rng.randint(0, 6, size=1000, dtype=dt).byteswap() + + res = hashlib.sha256(val.view(np.int8)).hexdigest() + assert_(tgt[np.dtype(dt).name] == res) + + # bools do not depend on endianness + rng = random.RandomState(1234) + val = rng.randint(0, 2, size=1000, dtype=bool).view(np.int8) + res = hashlib.sha256(val).hexdigest() + assert_(tgt[np.dtype(bool).name] == res) + + def test_int64_uint64_corner_case(self): + # When stored in Numpy arrays, `lbnd` is casted + # as np.int64, and `ubnd` is casted as np.uint64. + # Checking whether `lbnd` >= `ubnd` used to be + # done solely via direct comparison, which is incorrect + # because when Numpy tries to compare both numbers, + # it casts both to np.float64 because there is + # no integer superset of np.int64 and np.uint64. However, + # `ubnd` is too large to be represented in np.float64, + # causing it be round down to np.iinfo(np.int64).max, + # leading to a ValueError because `lbnd` now equals + # the new `ubnd`. + + dt = np.int64 + tgt = np.iinfo(np.int64).max + lbnd = np.int64(np.iinfo(np.int64).max) + ubnd = np.uint64(np.iinfo(np.int64).max + 1) + + # None of these function calls should + # generate a ValueError now. + actual = np.random.randint(lbnd, ubnd, dtype=dt) + assert_equal(actual, tgt) + + def test_respect_dtype_singleton(self): + # See gh-7203 + rng = random.RandomState() + for dt in self.itype: + lbnd = 0 if dt is np.bool else np.iinfo(dt).min + ubnd = 2 if dt is np.bool else np.iinfo(dt).max + 1 + + sample = rng.randint(lbnd, ubnd, dtype=dt) + assert_equal(sample.dtype, np.dtype(dt)) + + for dt in (bool, int): + # The legacy rng uses "long" as the default integer: + lbnd = 0 if dt is bool else np.iinfo("long").min + ubnd = 2 if dt is bool else np.iinfo("long").max + 1 + + # gh-7284: Ensure that we get Python data types + sample = rng.randint(lbnd, ubnd, dtype=dt) + assert_(not hasattr(sample, 'dtype')) + assert_equal(type(sample), dt) + + +class TestRandomDist: + # Make sure the random distribution returns the correct value for a + # given seed + seed = 1234567890 + + def test_rand(self): + rng = random.RandomState(self.seed) + actual = rng.rand(3, 2) + desired = np.array([[0.61879477158567997, 0.59162362775974664], + [0.88868358904449662, 0.89165480011560816], + [0.4575674820298663, 0.7781880808593471]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_randn(self): + rng = random.RandomState(self.seed) + actual = rng.randn(3, 2) + desired = np.array([[1.34016345771863121, 1.73759122771936081], + [1.498988344300628, -0.2286433324536169], + [2.031033998682787, 2.17032494605655257]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_randint(self): + rng = random.RandomState(self.seed) + actual = rng.randint(-99, 99, size=(3, 2)) + desired = np.array([[31, 3], + [-52, 41], + [-48, -66]]) + assert_array_equal(actual, desired) + + def test_random_integers(self): + rng = random.RandomState(self.seed) + with pytest.warns(DeprecationWarning): + actual = rng.random_integers(-99, 99, size=(3, 2)) + desired = np.array([[31, 3], + [-52, 41], + [-48, -66]]) + assert_array_equal(actual, desired) + + def test_random_integers_max_int(self): + # Tests whether random_integers can generate the + # maximum allowed Python int that can be converted + # into a C long. Previous implementations of this + # method have thrown an OverflowError when attempting + # to generate this integer. + with pytest.warns(DeprecationWarning): + actual = np.random.random_integers(np.iinfo('l').max, + np.iinfo('l').max) + + desired = np.iinfo('l').max + assert_equal(actual, desired) + + def test_random_integers_deprecated(self): + with warnings.catch_warnings(): + warnings.simplefilter("error", DeprecationWarning) + + # DeprecationWarning raised with high == None + assert_raises(DeprecationWarning, + np.random.random_integers, + np.iinfo('l').max) + + # DeprecationWarning raised with high != None + assert_raises(DeprecationWarning, + np.random.random_integers, + np.iinfo('l').max, np.iinfo('l').max) + + def test_random(self): + rng = random.RandomState(self.seed) + actual = rng.random((3, 2)) + desired = np.array([[0.61879477158567997, 0.59162362775974664], + [0.88868358904449662, 0.89165480011560816], + [0.4575674820298663, 0.7781880808593471]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_choice_uniform_replace(self): + rng = random.RandomState(self.seed) + actual = rng.choice(4, 4) + desired = np.array([2, 3, 2, 3]) + assert_array_equal(actual, desired) + + def test_choice_nonuniform_replace(self): + rng = random.RandomState(self.seed) + actual = rng.choice(4, 4, p=[0.4, 0.4, 0.1, 0.1]) + desired = np.array([1, 1, 2, 2]) + assert_array_equal(actual, desired) + + def test_choice_uniform_noreplace(self): + rng = random.RandomState(self.seed) + actual = rng.choice(4, 3, replace=False) + desired = np.array([0, 1, 3]) + assert_array_equal(actual, desired) + + def test_choice_nonuniform_noreplace(self): + rng = random.RandomState(self.seed) + actual = rng.choice(4, 3, replace=False, + p=[0.1, 0.3, 0.5, 0.1]) + desired = np.array([2, 3, 1]) + assert_array_equal(actual, desired) + + def test_choice_noninteger(self): + rng = random.RandomState(self.seed) + actual = rng.choice(['a', 'b', 'c', 'd'], 4) + desired = np.array(['c', 'd', 'c', 'd']) + assert_array_equal(actual, desired) + + def test_choice_exceptions(self): + sample = np.random.choice + assert_raises(ValueError, sample, -1, 3) + assert_raises(ValueError, sample, 3., 3) + assert_raises(ValueError, sample, [[1, 2], [3, 4]], 3) + assert_raises(ValueError, sample, [], 3) + assert_raises(ValueError, sample, [1, 2, 3, 4], 3, + p=[[0.25, 0.25], [0.25, 0.25]]) + assert_raises(ValueError, sample, [1, 2], 3, p=[0.4, 0.4, 0.2]) + assert_raises(ValueError, sample, [1, 2], 3, p=[1.1, -0.1]) + assert_raises(ValueError, sample, [1, 2], 3, p=[0.4, 0.4]) + assert_raises(ValueError, sample, [1, 2, 3], 4, replace=False) + # gh-13087 + assert_raises(ValueError, sample, [1, 2, 3], -2, replace=False) + assert_raises(ValueError, sample, [1, 2, 3], (-1,), replace=False) + assert_raises(ValueError, sample, [1, 2, 3], (-1, 1), replace=False) + assert_raises(ValueError, sample, [1, 2, 3], 2, + replace=False, p=[1, 0, 0]) + + def test_choice_return_shape(self): + p = [0.1, 0.9] + # Check scalar + assert_(np.isscalar(np.random.choice(2, replace=True))) + assert_(np.isscalar(np.random.choice(2, replace=False))) + assert_(np.isscalar(np.random.choice(2, replace=True, p=p))) + assert_(np.isscalar(np.random.choice(2, replace=False, p=p))) + assert_(np.isscalar(np.random.choice([1, 2], replace=True))) + assert_(np.random.choice([None], replace=True) is None) + a = np.array([1, 2]) + arr = np.empty(1, dtype=object) + arr[0] = a + assert_(np.random.choice(arr, replace=True) is a) + + # Check 0-d array + s = () + assert_(not np.isscalar(np.random.choice(2, s, replace=True))) + assert_(not np.isscalar(np.random.choice(2, s, replace=False))) + assert_(not np.isscalar(np.random.choice(2, s, replace=True, p=p))) + assert_(not np.isscalar(np.random.choice(2, s, replace=False, p=p))) + assert_(not np.isscalar(np.random.choice([1, 2], s, replace=True))) + assert_(np.random.choice([None], s, replace=True).ndim == 0) + a = np.array([1, 2]) + arr = np.empty(1, dtype=object) + arr[0] = a + assert_(np.random.choice(arr, s, replace=True).item() is a) + + # Check multi dimensional array + s = (2, 3) + p = [0.1, 0.1, 0.1, 0.1, 0.4, 0.2] + assert_equal(np.random.choice(6, s, replace=True).shape, s) + assert_equal(np.random.choice(6, s, replace=False).shape, s) + assert_equal(np.random.choice(6, s, replace=True, p=p).shape, s) + assert_equal(np.random.choice(6, s, replace=False, p=p).shape, s) + assert_equal(np.random.choice(np.arange(6), s, replace=True).shape, s) + + # Check zero-size + assert_equal(np.random.randint(0, 0, size=(3, 0, 4)).shape, (3, 0, 4)) + assert_equal(np.random.randint(0, -10, size=0).shape, (0,)) + assert_equal(np.random.randint(10, 10, size=0).shape, (0,)) + assert_equal(np.random.choice(0, size=0).shape, (0,)) + assert_equal(np.random.choice([], size=(0,)).shape, (0,)) + assert_equal(np.random.choice(['a', 'b'], size=(3, 0, 4)).shape, + (3, 0, 4)) + assert_raises(ValueError, np.random.choice, [], 10) + + def test_choice_nan_probabilities(self): + a = np.array([42, 1, 2]) + p = [None, None, None] + assert_raises(ValueError, np.random.choice, a, p=p) + + def test_bytes(self): + rng = random.RandomState(self.seed) + actual = rng.bytes(10) + desired = b'\x82Ui\x9e\xff\x97+Wf\xa5' + assert_equal(actual, desired) + + def test_shuffle(self): + # Test lists, arrays (of various dtypes), and multidimensional versions + # of both, c-contiguous or not: + for conv in [lambda x: np.array([]), + lambda x: x, + lambda x: np.asarray(x).astype(np.int8), + lambda x: np.asarray(x).astype(np.float32), + lambda x: np.asarray(x).astype(np.complex64), + lambda x: np.asarray(x).astype(object), + lambda x: [(i, i) for i in x], + lambda x: np.asarray([[i, i] for i in x]), + lambda x: np.vstack([x, x]).T, + # gh-11442 + lambda x: (np.asarray([(i, i) for i in x], + [("a", int), ("b", int)]) + .view(np.recarray)), + # gh-4270 + lambda x: np.asarray([(i, i) for i in x], + [("a", object), ("b", np.int32)])]: + rng = random.RandomState(self.seed) + alist = conv([1, 2, 3, 4, 5, 6, 7, 8, 9, 0]) + rng.shuffle(alist) + actual = alist + desired = conv([0, 1, 9, 6, 2, 4, 5, 8, 7, 3]) + assert_array_equal(actual, desired) + + def test_shuffle_masked(self): + # gh-3263 + a = np.ma.masked_values(np.reshape(range(20), (5, 4)) % 3 - 1, -1) + b = np.ma.masked_values(np.arange(20) % 3 - 1, -1) + a_orig = a.copy() + b_orig = b.copy() + for i in range(50): + np.random.shuffle(a) + assert_equal( + sorted(a.data[~a.mask]), sorted(a_orig.data[~a_orig.mask])) + np.random.shuffle(b) + assert_equal( + sorted(b.data[~b.mask]), sorted(b_orig.data[~b_orig.mask])) + + @pytest.mark.parametrize("random", + [np.random, np.random.RandomState(), np.random.default_rng()]) + def test_shuffle_untyped_warning(self, random): + # Create a dict works like a sequence but isn't one + values = {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6} + with pytest.warns(UserWarning, + match="you are shuffling a 'dict' object") as rec: + random.shuffle(values) + assert "test_random" in rec[0].filename + + @pytest.mark.parametrize("random", + [np.random, np.random.RandomState(), np.random.default_rng()]) + @pytest.mark.parametrize("use_array_like", [True, False]) + def test_shuffle_no_object_unpacking(self, random, use_array_like): + class MyArr(np.ndarray): + pass + + items = [ + None, np.array([3]), np.float64(3), np.array(10), np.float64(7) + ] + arr = np.array(items, dtype=object) + item_ids = {id(i) for i in items} + if use_array_like: + arr = arr.view(MyArr) + + # The array was created fine, and did not modify any objects: + assert all(id(i) in item_ids for i in arr) + + if use_array_like and not isinstance(random, np.random.Generator): + # The old API gives incorrect results, but warns about it. + with pytest.warns(UserWarning, + match="Shuffling a one dimensional array.*"): + random.shuffle(arr) + else: + random.shuffle(arr) + assert all(id(i) in item_ids for i in arr) + + def test_shuffle_memoryview(self): + # gh-18273 + # allow graceful handling of memoryviews + # (treat the same as arrays) + rng = random.RandomState(self.seed) + a = np.arange(5).data + rng.shuffle(a) + assert_equal(np.asarray(a), [0, 1, 4, 3, 2]) + rng = random.RandomState(self.seed) + rng.shuffle(a) + assert_equal(np.asarray(a), [0, 1, 2, 3, 4]) + rng = np.random.default_rng(self.seed) + rng.shuffle(a) + assert_equal(np.asarray(a), [4, 1, 0, 3, 2]) + + def test_shuffle_not_writeable(self): + a = np.zeros(3) + a.flags.writeable = False + with pytest.raises(ValueError, match='read-only'): + np.random.shuffle(a) + + def test_beta(self): + rng = random.RandomState(self.seed) + actual = rng.beta(.1, .9, size=(3, 2)) + desired = np.array( + [[1.45341850513746058e-02, 5.31297615662868145e-04], + [1.85366619058432324e-06, 4.19214516800110563e-03], + [1.58405155108498093e-04, 1.26252891949397652e-04]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_binomial(self): + rng = random.RandomState(self.seed) + actual = rng.binomial(100, .456, size=(3, 2)) + desired = np.array([[37, 43], + [42, 48], + [46, 45]]) + assert_array_equal(actual, desired) + + def test_chisquare(self): + rng = random.RandomState(self.seed) + actual = rng.chisquare(50, size=(3, 2)) + desired = np.array([[63.87858175501090585, 68.68407748911370447], + [65.77116116901505904, 47.09686762438974483], + [72.3828403199695174, 74.18408615260374006]]) + assert_array_almost_equal(actual, desired, decimal=13) + + def test_dirichlet(self): + rng = random.RandomState(self.seed) + alpha = np.array([51.72840233779265162, 39.74494232180943953]) + actual = rng.dirichlet(alpha, size=(3, 2)) + desired = np.array([[[0.54539444573611562, 0.45460555426388438], + [0.62345816822039413, 0.37654183177960598]], + [[0.55206000085785778, 0.44793999914214233], + [0.58964023305154301, 0.41035976694845688]], + [[0.59266909280647828, 0.40733090719352177], + [0.56974431743975207, 0.43025568256024799]]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_dirichlet_size(self): + # gh-3173 + p = np.array([51.72840233779265162, 39.74494232180943953]) + assert_equal(np.random.dirichlet(p, np.uint32(1)).shape, (1, 2)) + assert_equal(np.random.dirichlet(p, np.uint32(1)).shape, (1, 2)) + assert_equal(np.random.dirichlet(p, np.uint32(1)).shape, (1, 2)) + assert_equal(np.random.dirichlet(p, [2, 2]).shape, (2, 2, 2)) + assert_equal(np.random.dirichlet(p, (2, 2)).shape, (2, 2, 2)) + assert_equal(np.random.dirichlet(p, np.array((2, 2))).shape, (2, 2, 2)) + + assert_raises(TypeError, np.random.dirichlet, p, float(1)) + + def test_dirichlet_bad_alpha(self): + # gh-2089 + alpha = np.array([5.4e-01, -1.0e-16]) + assert_raises(ValueError, np.random.mtrand.dirichlet, alpha) + + # gh-15876 + assert_raises(ValueError, random.dirichlet, [[5, 1]]) + assert_raises(ValueError, random.dirichlet, [[5], [1]]) + assert_raises(ValueError, random.dirichlet, [[[5], [1]], [[1], [5]]]) + assert_raises(ValueError, random.dirichlet, np.array([[5, 1], [1, 5]])) + + def test_exponential(self): + rng = random.RandomState(self.seed) + actual = rng.exponential(1.1234, size=(3, 2)) + desired = np.array([[1.08342649775011624, 1.00607889924557314], + [2.46628830085216721, 2.49668106809923884], + [0.68717433461363442, 1.69175666993575979]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_exponential_0(self): + assert_equal(np.random.exponential(scale=0), 0) + assert_raises(ValueError, np.random.exponential, scale=-0.) + + def test_f(self): + rng = random.RandomState(self.seed) + actual = rng.f(12, 77, size=(3, 2)) + desired = np.array([[1.21975394418575878, 1.75135759791559775], + [1.44803115017146489, 1.22108959480396262], + [1.02176975757740629, 1.34431827623300415]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_gamma(self): + rng = random.RandomState(self.seed) + actual = rng.gamma(5, 3, size=(3, 2)) + desired = np.array([[24.60509188649287182, 28.54993563207210627], + [26.13476110204064184, 12.56988482927716078], + [31.71863275789960568, 33.30143302795922011]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_gamma_0(self): + assert_equal(np.random.gamma(shape=0, scale=0), 0) + assert_raises(ValueError, np.random.gamma, shape=-0., scale=-0.) + + def test_geometric(self): + rng = random.RandomState(self.seed) + actual = rng.geometric(.123456789, size=(3, 2)) + desired = np.array([[8, 7], + [17, 17], + [5, 12]]) + assert_array_equal(actual, desired) + + def test_gumbel(self): + rng = random.RandomState(self.seed) + actual = rng.gumbel(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[0.19591898743416816, 0.34405539668096674], + [-1.4492522252274278, -1.47374816298446865], + [1.10651090478803416, -0.69535848626236174]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_gumbel_0(self): + assert_equal(np.random.gumbel(scale=0), 0) + assert_raises(ValueError, np.random.gumbel, scale=-0.) + + def test_hypergeometric(self): + rng = random.RandomState(self.seed) + actual = rng.hypergeometric(10, 5, 14, size=(3, 2)) + desired = np.array([[10, 10], + [10, 10], + [9, 9]]) + assert_array_equal(actual, desired) + + # Test nbad = 0 + actual = rng.hypergeometric(5, 0, 3, size=4) + desired = np.array([3, 3, 3, 3]) + assert_array_equal(actual, desired) + + actual = rng.hypergeometric(15, 0, 12, size=4) + desired = np.array([12, 12, 12, 12]) + assert_array_equal(actual, desired) + + # Test ngood = 0 + actual = rng.hypergeometric(0, 5, 3, size=4) + desired = np.array([0, 0, 0, 0]) + assert_array_equal(actual, desired) + + actual = rng.hypergeometric(0, 15, 12, size=4) + desired = np.array([0, 0, 0, 0]) + assert_array_equal(actual, desired) + + def test_laplace(self): + rng = random.RandomState(self.seed) + actual = rng.laplace(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[0.66599721112760157, 0.52829452552221945], + [3.12791959514407125, 3.18202813572992005], + [-0.05391065675859356, 1.74901336242837324]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_laplace_0(self): + assert_equal(np.random.laplace(scale=0), 0) + assert_raises(ValueError, np.random.laplace, scale=-0.) + + def test_logistic(self): + rng = random.RandomState(self.seed) + actual = rng.logistic(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[1.09232835305011444, 0.8648196662399954], + [4.27818590694950185, 4.33897006346929714], + [-0.21682183359214885, 2.63373365386060332]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_lognormal(self): + rng = random.RandomState(self.seed) + actual = rng.lognormal(mean=.123456789, sigma=2.0, size=(3, 2)) + desired = np.array([[16.50698631688883822, 36.54846706092654784], + [22.67886599981281748, 0.71617561058995771], + [65.72798501792723869, 86.84341601437161273]]) + assert_array_almost_equal(actual, desired, decimal=13) + + def test_lognormal_0(self): + assert_equal(np.random.lognormal(sigma=0), 1) + assert_raises(ValueError, np.random.lognormal, sigma=-0.) + + def test_logseries(self): + rng = random.RandomState(self.seed) + actual = rng.logseries(p=.923456789, size=(3, 2)) + desired = np.array([[2, 2], + [6, 17], + [3, 6]]) + assert_array_equal(actual, desired) + + def test_multinomial(self): + rng = random.RandomState(self.seed) + actual = rng.multinomial(20, [1 / 6.] * 6, size=(3, 2)) + desired = np.array([[[4, 3, 5, 4, 2, 2], + [5, 2, 8, 2, 2, 1]], + [[3, 4, 3, 6, 0, 4], + [2, 1, 4, 3, 6, 4]], + [[4, 4, 2, 5, 2, 3], + [4, 3, 4, 2, 3, 4]]]) + assert_array_equal(actual, desired) + + def test_multivariate_normal(self): + rng = random.RandomState(self.seed) + mean = (.123456789, 10) + cov = [[1, 0], [0, 1]] + size = (3, 2) + actual = rng.multivariate_normal(mean, cov, size) + desired = np.array([[[1.463620246718631, 11.73759122771936], + [1.622445133300628, 9.771356667546383]], + [[2.154490787682787, 12.170324946056553], + [1.719909438201865, 9.230548443648306]], + [[0.689515026297799, 9.880729819607714], + [-0.023054015651998, 9.201096623542879]]]) + + assert_array_almost_equal(actual, desired, decimal=15) + + # Check for default size, was raising deprecation warning + actual = rng.multivariate_normal(mean, cov) + desired = np.array([0.895289569463708, 9.17180864067987]) + assert_array_almost_equal(actual, desired, decimal=15) + + # Check that non positive-semidefinite covariance warns with + # RuntimeWarning + mean = [0, 0] + cov = [[1, 2], [2, 1]] + pytest.warns(RuntimeWarning, rng.multivariate_normal, mean, cov) + + # and that it doesn't warn with RuntimeWarning check_valid='ignore' + assert_no_warnings(rng.multivariate_normal, mean, cov, + check_valid='ignore') + + # and that it raises with RuntimeWarning check_valid='raises' + assert_raises(ValueError, rng.multivariate_normal, mean, cov, + check_valid='raise') + + cov = np.array([[1, 0.1], [0.1, 1]], dtype=np.float32) + with warnings.catch_warnings(): + warnings.simplefilter('error') + rng.multivariate_normal(mean, cov) + + def test_negative_binomial(self): + rng = random.RandomState(self.seed) + actual = rng.negative_binomial(n=100, p=.12345, size=(3, 2)) + desired = np.array([[848, 841], + [892, 611], + [779, 647]]) + assert_array_equal(actual, desired) + + def test_noncentral_chisquare(self): + rng = random.RandomState(self.seed) + actual = rng.noncentral_chisquare(df=5, nonc=5, size=(3, 2)) + desired = np.array([[23.91905354498517511, 13.35324692733826346], + [31.22452661329736401, 16.60047399466177254], + [5.03461598262724586, 17.94973089023519464]]) + assert_array_almost_equal(actual, desired, decimal=14) + + actual = rng.noncentral_chisquare(df=.5, nonc=.2, size=(3, 2)) + desired = np.array([[1.47145377828516666, 0.15052899268012659], + [0.00943803056963588, 1.02647251615666169], + [0.332334982684171, 0.15451287602753125]]) + assert_array_almost_equal(actual, desired, decimal=14) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_chisquare(df=5, nonc=0, size=(3, 2)) + desired = np.array([[9.597154162763948, 11.725484450296079], + [10.413711048138335, 3.694475922923986], + [13.484222138963087, 14.377255424602957]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_noncentral_f(self): + rng = random.RandomState(self.seed) + actual = rng.noncentral_f(dfnum=5, dfden=2, nonc=1, + size=(3, 2)) + desired = np.array([[1.40598099674926669, 0.34207973179285761], + [3.57715069265772545, 7.92632662577829805], + [0.43741599463544162, 1.1774208752428319]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_normal(self): + rng = random.RandomState(self.seed) + actual = rng.normal(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[2.80378370443726244, 3.59863924443872163], + [3.121433477601256, -0.33382987590723379], + [4.18552478636557357, 4.46410668111310471]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_normal_0(self): + assert_equal(np.random.normal(scale=0), 0) + assert_raises(ValueError, np.random.normal, scale=-0.) + + def test_pareto(self): + rng = random.RandomState(self.seed) + actual = rng.pareto(a=.123456789, size=(3, 2)) + desired = np.array( + [[2.46852460439034849e+03, 1.41286880810518346e+03], + [5.28287797029485181e+07, 6.57720981047328785e+07], + [1.40840323350391515e+02, 1.98390255135251704e+05]]) + # For some reason on 32-bit x86 Ubuntu 12.10 the [1, 0] entry in this + # matrix differs by 24 nulps. Discussion: + # https://mail.python.org/pipermail/numpy-discussion/2012-September/063801.html + # Consensus is that this is probably some gcc quirk that affects + # rounding but not in any important way, so we just use a looser + # tolerance on this test: + np.testing.assert_array_almost_equal_nulp(actual, desired, nulp=30) + + def test_poisson(self): + rng = random.RandomState(self.seed) + actual = rng.poisson(lam=.123456789, size=(3, 2)) + desired = np.array([[0, 0], + [1, 0], + [0, 0]]) + assert_array_equal(actual, desired) + + def test_poisson_exceptions(self): + lambig = np.iinfo('l').max + lamneg = -1 + assert_raises(ValueError, np.random.poisson, lamneg) + assert_raises(ValueError, np.random.poisson, [lamneg] * 10) + assert_raises(ValueError, np.random.poisson, lambig) + assert_raises(ValueError, np.random.poisson, [lambig] * 10) + + def test_power(self): + rng = random.RandomState(self.seed) + actual = rng.power(a=.123456789, size=(3, 2)) + desired = np.array([[0.02048932883240791, 0.01424192241128213], + [0.38446073748535298, 0.39499689943484395], + [0.00177699707563439, 0.13115505880863756]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_rayleigh(self): + rng = random.RandomState(self.seed) + actual = rng.rayleigh(scale=10, size=(3, 2)) + desired = np.array([[13.8882496494248393, 13.383318339044731], + [20.95413364294492098, 21.08285015800712614], + [11.06066537006854311, 17.35468505778271009]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_rayleigh_0(self): + assert_equal(np.random.rayleigh(scale=0), 0) + assert_raises(ValueError, np.random.rayleigh, scale=-0.) + + def test_standard_cauchy(self): + rng = random.RandomState(self.seed) + actual = rng.standard_cauchy(size=(3, 2)) + desired = np.array([[0.77127660196445336, -6.55601161955910605], + [0.93582023391158309, -2.07479293013759447], + [-4.74601644297011926, 0.18338989290760804]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_standard_exponential(self): + rng = random.RandomState(self.seed) + actual = rng.standard_exponential(size=(3, 2)) + desired = np.array([[0.96441739162374596, 0.89556604882105506], + [2.1953785836319808, 2.22243285392490542], + [0.6116915921431676, 1.50592546727413201]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_standard_gamma(self): + rng = random.RandomState(self.seed) + actual = rng.standard_gamma(shape=3, size=(3, 2)) + desired = np.array([[5.50841531318455058, 6.62953470301903103], + [5.93988484943779227, 2.31044849402133989], + [7.54838614231317084, 8.012756093271868]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_standard_gamma_0(self): + assert_equal(np.random.standard_gamma(shape=0), 0) + assert_raises(ValueError, np.random.standard_gamma, shape=-0.) + + def test_standard_normal(self): + rng = random.RandomState(self.seed) + actual = rng.standard_normal(size=(3, 2)) + desired = np.array([[1.34016345771863121, 1.73759122771936081], + [1.498988344300628, -0.2286433324536169], + [2.031033998682787, 2.17032494605655257]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_standard_t(self): + rng = random.RandomState(self.seed) + actual = rng.standard_t(df=10, size=(3, 2)) + desired = np.array([[0.97140611862659965, -0.08830486548450577], + [1.36311143689505321, -0.55317463909867071], + [-0.18473749069684214, 0.61181537341755321]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_triangular(self): + rng = random.RandomState(self.seed) + actual = rng.triangular(left=5.12, mode=10.23, right=20.34, + size=(3, 2)) + desired = np.array([[12.68117178949215784, 12.4129206149193152], + [16.20131377335158263, 16.25692138747600524], + [11.20400690911820263, 14.4978144835829923]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_uniform(self): + rng = random.RandomState(self.seed) + actual = rng.uniform(low=1.23, high=10.54, size=(3, 2)) + desired = np.array([[6.99097932346268003, 6.73801597444323974], + [9.50364421400426274, 9.53130618907631089], + [5.48995325769805476, 8.47493103280052118]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_uniform_range_bounds(self): + fmin = np.finfo('float').min + fmax = np.finfo('float').max + + func = np.random.uniform + assert_raises(OverflowError, func, -np.inf, 0) + assert_raises(OverflowError, func, 0, np.inf) + assert_raises(OverflowError, func, fmin, fmax) + assert_raises(OverflowError, func, [-np.inf], [0]) + assert_raises(OverflowError, func, [0], [np.inf]) + + # (fmax / 1e17) - fmin is within range, so this should not throw + # account for i386 extended precision DBL_MAX / 1e17 + DBL_MAX > + # DBL_MAX by increasing fmin a bit + np.random.uniform(low=np.nextafter(fmin, 1), high=fmax / 1e17) + + def test_scalar_exception_propagation(self): + # Tests that exceptions are correctly propagated in distributions + # when called with objects that throw exceptions when converted to + # scalars. + # + # Regression test for gh: 8865 + + class ThrowingFloat(np.ndarray): + def __float__(self): + raise TypeError + + throwing_float = np.array(1.0).view(ThrowingFloat) + assert_raises(TypeError, np.random.uniform, throwing_float, + throwing_float) + + class ThrowingInteger(np.ndarray): + def __int__(self): + raise TypeError + + __index__ = __int__ + + throwing_int = np.array(1).view(ThrowingInteger) + assert_raises(TypeError, np.random.hypergeometric, throwing_int, 1, 1) + + def test_vonmises(self): + rng = random.RandomState(self.seed) + actual = rng.vonmises(mu=1.23, kappa=1.54, size=(3, 2)) + desired = np.array([[2.28567572673902042, 2.89163838442285037], + [0.38198375564286025, 2.57638023113890746], + [1.19153771588353052, 1.83509849681825354]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_vonmises_small(self): + # check infinite loop, gh-4720 + np.random.seed(self.seed) + r = np.random.vonmises(mu=0., kappa=1.1e-8, size=10**6) + np.testing.assert_(np.isfinite(r).all()) + + def test_wald(self): + rng = random.RandomState(self.seed) + actual = rng.wald(mean=1.23, scale=1.54, size=(3, 2)) + desired = np.array([[3.82935265715889983, 5.13125249184285526], + [0.35045403618358717, 1.50832396872003538], + [0.24124319895843183, 0.22031101461955038]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_weibull(self): + rng = random.RandomState(self.seed) + actual = rng.weibull(a=1.23, size=(3, 2)) + desired = np.array([[0.97097342648766727, 0.91422896443565516], + [1.89517770034962929, 1.91414357960479564], + [0.67057783752390987, 1.39494046635066793]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_weibull_0(self): + np.random.seed(self.seed) + assert_equal(np.random.weibull(a=0, size=12), np.zeros(12)) + assert_raises(ValueError, np.random.weibull, a=-0.) + + def test_zipf(self): + rng = random.RandomState(self.seed) + actual = rng.zipf(a=1.23, size=(3, 2)) + desired = np.array([[66, 29], + [1, 1], + [3, 13]]) + assert_array_equal(actual, desired) + + +class TestBroadcast: + # tests that functions that broadcast behave + # correctly when presented with non-scalar arguments + seed = 123456789 + + # TODO: Include test for randint once it can broadcast + # Can steal the test written in PR #6938 + + def test_uniform(self): + low = [0] + high = [1] + desired = np.array([0.53283302478975902, + 0.53413660089041659, + 0.50955303552646702]) + + rng = random.RandomState(self.seed) + actual = rng.uniform(low * 3, high) + assert_array_almost_equal(actual, desired, decimal=14) + + rng = random.RandomState(self.seed) + actual = rng.uniform(low, high * 3) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_normal(self): + loc = [0] + scale = [1] + bad_scale = [-1] + desired = np.array([2.2129019979039612, + 2.1283977976520019, + 1.8417114045748335]) + + rng = random.RandomState(self.seed) + actual = rng.normal(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.normal, loc * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.normal(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.normal, loc, bad_scale * 3) + + def test_beta(self): + a = [1] + b = [2] + bad_a = [-1] + bad_b = [-2] + desired = np.array([0.19843558305989056, + 0.075230336409423643, + 0.24976865978980844]) + + rng = random.RandomState(self.seed) + actual = rng.beta(a * 3, b) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.beta, bad_a * 3, b) + assert_raises(ValueError, rng.beta, a * 3, bad_b) + + rng = random.RandomState(self.seed) + actual = rng.beta(a, b * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.beta, bad_a, b * 3) + assert_raises(ValueError, rng.beta, a, bad_b * 3) + + def test_exponential(self): + scale = [1] + bad_scale = [-1] + desired = np.array([0.76106853658845242, + 0.76386282278691653, + 0.71243813125891797]) + + rng = random.RandomState(self.seed) + actual = rng.exponential(scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.exponential, bad_scale * 3) + + def test_standard_gamma(self): + shape = [1] + bad_shape = [-1] + desired = np.array([0.76106853658845242, + 0.76386282278691653, + 0.71243813125891797]) + + rng = random.RandomState(self.seed) + actual = rng.standard_gamma(shape * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.standard_gamma, bad_shape * 3) + + def test_gamma(self): + shape = [1] + scale = [2] + bad_shape = [-1] + bad_scale = [-2] + desired = np.array([1.5221370731769048, + 1.5277256455738331, + 1.4248762625178359]) + + rng = random.RandomState(self.seed) + actual = rng.gamma(shape * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.gamma, bad_shape * 3, scale) + assert_raises(ValueError, rng.gamma, shape * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.gamma(shape, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.gamma, bad_shape, scale * 3) + assert_raises(ValueError, rng.gamma, shape, bad_scale * 3) + + def test_f(self): + dfnum = [1] + dfden = [2] + bad_dfnum = [-1] + bad_dfden = [-2] + desired = np.array([0.80038951638264799, + 0.86768719635363512, + 2.7251095168386801]) + + rng = random.RandomState(self.seed) + actual = rng.f(dfnum * 3, dfden) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.f, bad_dfnum * 3, dfden) + assert_raises(ValueError, rng.f, dfnum * 3, bad_dfden) + + rng = random.RandomState(self.seed) + actual = rng.f(dfnum, dfden * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.f, bad_dfnum, dfden * 3) + assert_raises(ValueError, rng.f, dfnum, bad_dfden * 3) + + def test_noncentral_f(self): + dfnum = [2] + dfden = [3] + nonc = [4] + bad_dfnum = [0] + bad_dfden = [-1] + bad_nonc = [-2] + desired = np.array([9.1393943263705211, + 13.025456344595602, + 8.8018098359100545]) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_f(dfnum * 3, dfden, nonc) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.noncentral_f, bad_dfnum * 3, dfden, nonc) + assert_raises(ValueError, rng.noncentral_f, dfnum * 3, bad_dfden, nonc) + assert_raises(ValueError, rng.noncentral_f, dfnum * 3, dfden, bad_nonc) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_f(dfnum, dfden * 3, nonc) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.noncentral_f, bad_dfnum, dfden * 3, nonc) + assert_raises(ValueError, rng.noncentral_f, dfnum, bad_dfden * 3, nonc) + assert_raises(ValueError, rng.noncentral_f, dfnum, dfden * 3, bad_nonc) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_f(dfnum, dfden, nonc * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.noncentral_f, bad_dfnum, dfden, nonc * 3) + assert_raises(ValueError, rng.noncentral_f, dfnum, bad_dfden, nonc * 3) + assert_raises(ValueError, rng.noncentral_f, dfnum, dfden, bad_nonc * 3) + + def test_noncentral_f_small_df(self): + rng = random.RandomState(self.seed) + desired = np.array([6.869638627492048, 0.785880199263955]) + actual = rng.noncentral_f(0.9, 0.9, 2, size=2) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_chisquare(self): + df = [1] + bad_df = [-1] + desired = np.array([0.57022801133088286, + 0.51947702108840776, + 0.1320969254923558]) + + rng = random.RandomState(self.seed) + actual = rng.chisquare(df * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.chisquare, bad_df * 3) + + def test_noncentral_chisquare(self): + df = [1] + nonc = [2] + bad_df = [-1] + bad_nonc = [-2] + desired = np.array([9.0015599467913763, + 4.5804135049718742, + 6.0872302432834564]) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_chisquare(df * 3, nonc) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.noncentral_chisquare, bad_df * 3, nonc) + assert_raises(ValueError, rng.noncentral_chisquare, df * 3, bad_nonc) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_chisquare(df, nonc * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.noncentral_chisquare, bad_df, nonc * 3) + assert_raises(ValueError, rng.noncentral_chisquare, df, bad_nonc * 3) + + def test_standard_t(self): + df = [1] + bad_df = [-1] + desired = np.array([3.0702872575217643, + 5.8560725167361607, + 1.0274791436474273]) + + rng = random.RandomState(self.seed) + actual = rng.standard_t(df * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.standard_t, bad_df * 3) + + def test_vonmises(self): + mu = [2] + kappa = [1] + bad_kappa = [-1] + desired = np.array([2.9883443664201312, + -2.7064099483995943, + -1.8672476700665914]) + + rng = random.RandomState(self.seed) + actual = rng.vonmises(mu * 3, kappa) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.vonmises, mu * 3, bad_kappa) + + rng = random.RandomState(self.seed) + actual = rng.vonmises(mu, kappa * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.vonmises, mu, bad_kappa * 3) + + def test_pareto(self): + a = [1] + bad_a = [-1] + desired = np.array([1.1405622680198362, + 1.1465519762044529, + 1.0389564467453547]) + + rng = random.RandomState(self.seed) + actual = rng.pareto(a * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.pareto, bad_a * 3) + + def test_weibull(self): + a = [1] + bad_a = [-1] + desired = np.array([0.76106853658845242, + 0.76386282278691653, + 0.71243813125891797]) + + rng = random.RandomState(self.seed) + actual = rng.weibull(a * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.weibull, bad_a * 3) + + def test_power(self): + a = [1] + bad_a = [-1] + desired = np.array([0.53283302478975902, + 0.53413660089041659, + 0.50955303552646702]) + + rng = random.RandomState(self.seed) + actual = rng.power(a * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.power, bad_a * 3) + + def test_laplace(self): + loc = [0] + scale = [1] + bad_scale = [-1] + desired = np.array([0.067921356028507157, + 0.070715642226971326, + 0.019290950698972624]) + + rng = random.RandomState(self.seed) + actual = rng.laplace(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.laplace, loc * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.laplace(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.laplace, loc, bad_scale * 3) + + def test_gumbel(self): + loc = [0] + scale = [1] + bad_scale = [-1] + desired = np.array([0.2730318639556768, + 0.26936705726291116, + 0.33906220393037939]) + + rng = random.RandomState(self.seed) + actual = rng.gumbel(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.gumbel, loc * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.gumbel(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.gumbel, loc, bad_scale * 3) + + def test_logistic(self): + loc = [0] + scale = [1] + bad_scale = [-1] + desired = np.array([0.13152135837586171, + 0.13675915696285773, + 0.038216792802833396]) + + rng = random.RandomState(self.seed) + actual = rng.logistic(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.logistic, loc * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.logistic(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.logistic, loc, bad_scale * 3) + + def test_lognormal(self): + mean = [0] + sigma = [1] + bad_sigma = [-1] + desired = np.array([9.1422086044848427, + 8.4013952870126261, + 6.3073234116578671]) + + rng = random.RandomState(self.seed) + actual = rng.lognormal(mean * 3, sigma) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.lognormal, mean * 3, bad_sigma) + + rng = random.RandomState(self.seed) + actual = rng.lognormal(mean, sigma * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.lognormal, mean, bad_sigma * 3) + + def test_rayleigh(self): + scale = [1] + bad_scale = [-1] + desired = np.array([1.2337491937897689, + 1.2360119924878694, + 1.1936818095781789]) + + rng = random.RandomState(self.seed) + actual = rng.rayleigh(scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.rayleigh, bad_scale * 3) + + def test_wald(self): + mean = [0.5] + scale = [1] + bad_mean = [0] + bad_scale = [-2] + desired = np.array([0.11873681120271318, + 0.12450084820795027, + 0.9096122728408238]) + + rng = random.RandomState(self.seed) + actual = rng.wald(mean * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.wald, bad_mean * 3, scale) + assert_raises(ValueError, rng.wald, mean * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.wald(mean, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.wald, bad_mean, scale * 3) + assert_raises(ValueError, rng.wald, mean, bad_scale * 3) + assert_raises(ValueError, rng.wald, 0.0, 1) + assert_raises(ValueError, rng.wald, 0.5, 0.0) + + def test_triangular(self): + left = [1] + right = [3] + mode = [2] + bad_left_one = [3] + bad_mode_one = [4] + bad_left_two, bad_mode_two = right * 2 + desired = np.array([2.03339048710429, + 2.0347400359389356, + 2.0095991069536208]) + + rng = random.RandomState(self.seed) + actual = rng.triangular(left * 3, mode, right) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.triangular, bad_left_one * 3, mode, right) + assert_raises(ValueError, rng.triangular, left * 3, bad_mode_one, right) + assert_raises(ValueError, rng.triangular, bad_left_two * 3, bad_mode_two, + right) + + rng = random.RandomState(self.seed) + actual = rng.triangular(left, mode * 3, right) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.triangular, bad_left_one, mode * 3, right) + assert_raises(ValueError, rng.triangular, left, bad_mode_one * 3, right) + assert_raises(ValueError, rng.triangular, bad_left_two, bad_mode_two * 3, + right) + + rng = random.RandomState(self.seed) + actual = rng.triangular(left, mode, right * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.triangular, bad_left_one, mode, right * 3) + assert_raises(ValueError, rng.triangular, left, bad_mode_one, right * 3) + assert_raises(ValueError, rng.triangular, bad_left_two, bad_mode_two, + right * 3) + + def test_binomial(self): + n = [1] + p = [0.5] + bad_n = [-1] + bad_p_one = [-1] + bad_p_two = [1.5] + desired = np.array([1, 1, 1]) + + rng = random.RandomState(self.seed) + actual = rng.binomial(n * 3, p) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.binomial, bad_n * 3, p) + assert_raises(ValueError, rng.binomial, n * 3, bad_p_one) + assert_raises(ValueError, rng.binomial, n * 3, bad_p_two) + + rng = random.RandomState(self.seed) + actual = rng.binomial(n, p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.binomial, bad_n, p * 3) + assert_raises(ValueError, rng.binomial, n, bad_p_one * 3) + assert_raises(ValueError, rng.binomial, n, bad_p_two * 3) + + def test_negative_binomial(self): + n = [1] + p = [0.5] + bad_n = [-1] + bad_p_one = [-1] + bad_p_two = [1.5] + desired = np.array([1, 0, 1]) + + rng = random.RandomState(self.seed) + actual = rng.negative_binomial(n * 3, p) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.negative_binomial, bad_n * 3, p) + assert_raises(ValueError, rng.negative_binomial, n * 3, bad_p_one) + assert_raises(ValueError, rng.negative_binomial, n * 3, bad_p_two) + + rng = random.RandomState(self.seed) + actual = rng.negative_binomial(n, p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.negative_binomial, bad_n, p * 3) + assert_raises(ValueError, rng.negative_binomial, n, bad_p_one * 3) + assert_raises(ValueError, rng.negative_binomial, n, bad_p_two * 3) + + def test_poisson(self): + max_lam = np.random.RandomState()._poisson_lam_max + + lam = [1] + bad_lam_one = [-1] + bad_lam_two = [max_lam * 2] + desired = np.array([1, 1, 0]) + + rng = random.RandomState(self.seed) + actual = rng.poisson(lam * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.poisson, bad_lam_one * 3) + assert_raises(ValueError, rng.poisson, bad_lam_two * 3) + + def test_zipf(self): + a = [2] + bad_a = [0] + desired = np.array([2, 2, 1]) + + rng = random.RandomState(self.seed) + actual = rng.zipf(a * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.zipf, bad_a * 3) + with np.errstate(invalid='ignore'): + assert_raises(ValueError, rng.zipf, np.nan) + assert_raises(ValueError, rng.zipf, [0, 0, np.nan]) + + def test_geometric(self): + p = [0.5] + bad_p_one = [-1] + bad_p_two = [1.5] + desired = np.array([2, 2, 2]) + + rng = random.RandomState(self.seed) + actual = rng.geometric(p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.geometric, bad_p_one * 3) + assert_raises(ValueError, rng.geometric, bad_p_two * 3) + + def test_hypergeometric(self): + ngood = [1] + nbad = [2] + nsample = [2] + bad_ngood = [-1] + bad_nbad = [-2] + bad_nsample_one = [0] + bad_nsample_two = [4] + desired = np.array([1, 1, 1]) + + rng = random.RandomState(self.seed) + actual = rng.hypergeometric(ngood * 3, nbad, nsample) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.hypergeometric, bad_ngood * 3, nbad, nsample) + assert_raises(ValueError, rng.hypergeometric, ngood * 3, bad_nbad, nsample) + assert_raises(ValueError, rng.hypergeometric, ngood * 3, nbad, bad_nsample_one) + assert_raises(ValueError, rng.hypergeometric, ngood * 3, nbad, bad_nsample_two) + + rng = random.RandomState(self.seed) + actual = rng.hypergeometric(ngood, nbad * 3, nsample) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.hypergeometric, bad_ngood, nbad * 3, nsample) + assert_raises(ValueError, rng.hypergeometric, ngood, bad_nbad * 3, nsample) + assert_raises(ValueError, rng.hypergeometric, ngood, nbad * 3, bad_nsample_one) + assert_raises(ValueError, rng.hypergeometric, ngood, nbad * 3, bad_nsample_two) + + rng = random.RandomState(self.seed) + actual = rng.hypergeometric(ngood, nbad, nsample * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.hypergeometric, bad_ngood, nbad, nsample * 3) + assert_raises(ValueError, rng.hypergeometric, ngood, bad_nbad, nsample * 3) + assert_raises(ValueError, rng.hypergeometric, ngood, nbad, bad_nsample_one * 3) + assert_raises(ValueError, rng.hypergeometric, ngood, nbad, bad_nsample_two * 3) + + def test_logseries(self): + p = [0.5] + bad_p_one = [2] + bad_p_two = [-1] + desired = np.array([1, 1, 1]) + + rng = random.RandomState(self.seed) + actual = rng.logseries(p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.logseries, bad_p_one * 3) + assert_raises(ValueError, rng.logseries, bad_p_two * 3) + + +@pytest.mark.skipif(IS_WASM, reason="can't start thread") +class TestThread: + # make sure each state produces the same sequence even in threads + seeds = range(4) + + def check_function(self, function, sz): + from threading import Thread + + out1 = np.empty((len(self.seeds),) + sz) + out2 = np.empty((len(self.seeds),) + sz) + + # threaded generation + t = [Thread(target=function, args=(np.random.RandomState(s), o)) + for s, o in zip(self.seeds, out1)] + [x.start() for x in t] + [x.join() for x in t] + + # the same serial + for s, o in zip(self.seeds, out2): + function(np.random.RandomState(s), o) + + # these platforms change x87 fpu precision mode in threads + if np.intp().dtype.itemsize == 4 and sys.platform == "win32": + assert_array_almost_equal(out1, out2) + else: + assert_array_equal(out1, out2) + + def test_normal(self): + def gen_random(state, out): + out[...] = state.normal(size=10000) + self.check_function(gen_random, sz=(10000,)) + + def test_exp(self): + def gen_random(state, out): + out[...] = state.exponential(scale=np.ones((100, 1000))) + self.check_function(gen_random, sz=(100, 1000)) + + def test_multinomial(self): + def gen_random(state, out): + out[...] = state.multinomial(10, [1 / 6.] * 6, size=10000) + self.check_function(gen_random, sz=(10000, 6)) + + +# See Issue #4263 +class TestSingleEltArrayInput: + def _create_arrays(self): + return np.array([2]), np.array([3]), np.array([4]), (1,) + + def test_one_arg_funcs(self): + argOne, _, _, tgtShape = self._create_arrays() + funcs = (np.random.exponential, np.random.standard_gamma, + np.random.chisquare, np.random.standard_t, + np.random.pareto, np.random.weibull, + np.random.power, np.random.rayleigh, + np.random.poisson, np.random.zipf, + np.random.geometric, np.random.logseries) + + probfuncs = (np.random.geometric, np.random.logseries) + + for func in funcs: + if func in probfuncs: # p < 1.0 + out = func(np.array([0.5])) + + else: + out = func(argOne) + + assert_equal(out.shape, tgtShape) + + def test_two_arg_funcs(self): + argOne, argTwo, _, tgtShape = self._create_arrays() + funcs = (np.random.uniform, np.random.normal, + np.random.beta, np.random.gamma, + np.random.f, np.random.noncentral_chisquare, + np.random.vonmises, np.random.laplace, + np.random.gumbel, np.random.logistic, + np.random.lognormal, np.random.wald, + np.random.binomial, np.random.negative_binomial) + + probfuncs = (np.random.binomial, np.random.negative_binomial) + + for func in funcs: + if func in probfuncs: # p <= 1 + argTwo = np.array([0.5]) + + else: + argTwo = argTwo + + out = func(argOne, argTwo) + assert_equal(out.shape, tgtShape) + + out = func(argOne[0], argTwo) + assert_equal(out.shape, tgtShape) + + out = func(argOne, argTwo[0]) + assert_equal(out.shape, tgtShape) + + def test_randint(self): + _, _, _, tgtShape = self._create_arrays() + itype = [bool, np.int8, np.uint8, np.int16, np.uint16, + np.int32, np.uint32, np.int64, np.uint64] + func = np.random.randint + high = np.array([1]) + low = np.array([0]) + + for dt in itype: + out = func(low, high, dtype=dt) + assert_equal(out.shape, tgtShape) + + out = func(low[0], high, dtype=dt) + assert_equal(out.shape, tgtShape) + + out = func(low, high[0], dtype=dt) + assert_equal(out.shape, tgtShape) + + def test_three_arg_funcs(self): + argOne, argTwo, argThree, tgtShape = self._create_arrays() + funcs = [np.random.noncentral_f, np.random.triangular, + np.random.hypergeometric] + + for func in funcs: + out = func(argOne, argTwo, argThree) + assert_equal(out.shape, tgtShape) + + out = func(argOne[0], argTwo, argThree) + assert_equal(out.shape, tgtShape) + + out = func(argOne, argTwo[0], argThree) + assert_equal(out.shape, tgtShape) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_randomstate.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_randomstate.py new file mode 100644 index 0000000000000000000000000000000000000000..63ffb5a86389b3d0d7783dac49a7eb63c25b07ef --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_randomstate.py @@ -0,0 +1,2099 @@ +import hashlib +import pickle +import sys +import warnings + +import pytest + +import numpy as np +from numpy import random +from numpy.random import MT19937, PCG64 +from numpy.testing import ( + IS_WASM, + assert_, + assert_array_almost_equal, + assert_array_equal, + assert_equal, + assert_no_warnings, + assert_raises, +) + +INT_FUNCS = {'binomial': (100.0, 0.6), + 'geometric': (.5,), + 'hypergeometric': (20, 20, 10), + 'logseries': (.5,), + 'multinomial': (20, np.ones(6) / 6.0), + 'negative_binomial': (100, .5), + 'poisson': (10.0,), + 'zipf': (2,), + } + +if np.iinfo(np.long).max < 2**32: + # Windows and some 32-bit platforms, e.g., ARM + INT_FUNC_HASHES = {'binomial': '2fbead005fc63942decb5326d36a1f32fe2c9d32c904ee61e46866b88447c263', # noqa: E501 + 'logseries': '23ead5dcde35d4cfd4ef2c105e4c3d43304b45dc1b1444b7823b9ee4fa144ebb', # noqa: E501 + 'geometric': '0d764db64f5c3bad48c8c33551c13b4d07a1e7b470f77629bef6c985cac76fcf', # noqa: E501 + 'hypergeometric': '7b59bf2f1691626c5815cdcd9a49e1dd68697251d4521575219e4d2a1b8b2c67', # noqa: E501 + 'multinomial': 'd754fa5b92943a38ec07630de92362dd2e02c43577fc147417dc5b9db94ccdd3', # noqa: E501 + 'negative_binomial': '8eb216f7cb2a63cf55605422845caaff002fddc64a7dc8b2d45acd477a49e824', # noqa: E501 + 'poisson': '70c891d76104013ebd6f6bcf30d403a9074b886ff62e4e6b8eb605bf1a4673b7', # noqa: E501 + 'zipf': '01f074f97517cd5d21747148ac6ca4074dde7fcb7acbaec0a936606fecacd93f', # noqa: E501 + } +else: + INT_FUNC_HASHES = {'binomial': '8626dd9d052cb608e93d8868de0a7b347258b199493871a1dc56e2a26cacb112', # noqa: E501 + 'geometric': '8edd53d272e49c4fc8fbbe6c7d08d563d62e482921f3131d0a0e068af30f0db9', # noqa: E501 + 'hypergeometric': '83496cc4281c77b786c9b7ad88b74d42e01603a55c60577ebab81c3ba8d45657', # noqa: E501 + 'logseries': '65878a38747c176bc00e930ebafebb69d4e1e16cd3a704e264ea8f5e24f548db', # noqa: E501 + 'multinomial': '7a984ae6dca26fd25374479e118b22f55db0aedccd5a0f2584ceada33db98605', # noqa: E501 + 'negative_binomial': 'd636d968e6a24ae92ab52fe11c46ac45b0897e98714426764e820a7d77602a61', # noqa: E501 + 'poisson': '956552176f77e7c9cb20d0118fc9cf690be488d790ed4b4c4747b965e61b0bb4', # noqa: E501 + 'zipf': 'f84ba7feffda41e606e20b28dfc0f1ea9964a74574513d4a4cbc98433a8bfa45', # noqa: E501 + } + + +@pytest.fixture(scope='module', params=INT_FUNCS) +def int_func(request): + return (request.param, INT_FUNCS[request.param], + INT_FUNC_HASHES[request.param]) + + +@pytest.fixture +def restore_singleton_bitgen(): + """Ensures that the singleton bitgen is restored after a test""" + orig_bitgen = np.random.get_bit_generator() + yield + np.random.set_bit_generator(orig_bitgen) + + +def assert_mt19937_state_equal(a, b): + assert_equal(a['bit_generator'], b['bit_generator']) + assert_array_equal(a['state']['key'], b['state']['key']) + assert_array_equal(a['state']['pos'], b['state']['pos']) + assert_equal(a['has_gauss'], b['has_gauss']) + assert_equal(a['gauss'], b['gauss']) + + +class TestSeed: + def test_scalar(self): + s = random.RandomState(0) + assert_equal(s.randint(1000), 684) + s = random.RandomState(4294967295) + assert_equal(s.randint(1000), 419) + + def test_array(self): + s = random.RandomState(range(10)) + assert_equal(s.randint(1000), 468) + s = random.RandomState(np.arange(10)) + assert_equal(s.randint(1000), 468) + s = random.RandomState([0]) + assert_equal(s.randint(1000), 973) + s = random.RandomState([4294967295]) + assert_equal(s.randint(1000), 265) + + def test_invalid_scalar(self): + # seed must be an unsigned 32 bit integer + assert_raises(TypeError, random.RandomState, -0.5) + assert_raises(ValueError, random.RandomState, -1) + + def test_invalid_array(self): + # seed must be an unsigned 32 bit integer + assert_raises(TypeError, random.RandomState, [-0.5]) + assert_raises(ValueError, random.RandomState, [-1]) + assert_raises(ValueError, random.RandomState, [4294967296]) + assert_raises(ValueError, random.RandomState, [1, 2, 4294967296]) + assert_raises(ValueError, random.RandomState, [1, -2, 4294967296]) + + def test_invalid_array_shape(self): + # gh-9832 + assert_raises(ValueError, random.RandomState, np.array([], + dtype=np.int64)) + assert_raises(ValueError, random.RandomState, [[1, 2, 3]]) + assert_raises(ValueError, random.RandomState, [[1, 2, 3], + [4, 5, 6]]) + + def test_cannot_seed(self): + rs = random.RandomState(PCG64(0)) + with assert_raises(TypeError): + rs.seed(1234) + + def test_invalid_initialization(self): + assert_raises(ValueError, random.RandomState, MT19937) + + +class TestBinomial: + def test_n_zero(self): + # Tests the corner case of n == 0 for the binomial distribution. + # binomial(0, p) should be zero for any p in [0, 1]. + # This test addresses issue #3480. + zeros = np.zeros(2, dtype='int') + for p in [0, .5, 1]: + assert_(random.binomial(0, p) == 0) + assert_array_equal(random.binomial(zeros, p), zeros) + + def test_p_is_nan(self): + # Issue #4571. + assert_raises(ValueError, random.binomial, 1, np.nan) + + +class TestMultinomial: + def test_basic(self): + random.multinomial(100, [0.2, 0.8]) + + def test_zero_probability(self): + random.multinomial(100, [0.2, 0.8, 0.0, 0.0, 0.0]) + + def test_int_negative_interval(self): + assert_(-5 <= random.randint(-5, -1) < -1) + x = random.randint(-5, -1, 5) + assert_(np.all(-5 <= x)) + assert_(np.all(x < -1)) + + def test_size(self): + # gh-3173 + p = [0.5, 0.5] + assert_equal(random.multinomial(1, p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.multinomial(1, p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.multinomial(1, p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.multinomial(1, p, [2, 2]).shape, (2, 2, 2)) + assert_equal(random.multinomial(1, p, (2, 2)).shape, (2, 2, 2)) + assert_equal(random.multinomial(1, p, np.array((2, 2))).shape, + (2, 2, 2)) + + assert_raises(TypeError, random.multinomial, 1, p, + float(1)) + + def test_invalid_prob(self): + assert_raises(ValueError, random.multinomial, 100, [1.1, 0.2]) + assert_raises(ValueError, random.multinomial, 100, [-.1, 0.9]) + + def test_invalid_n(self): + assert_raises(ValueError, random.multinomial, -1, [0.8, 0.2]) + + def test_p_non_contiguous(self): + p = np.arange(15.) + p /= np.sum(p[1::3]) + pvals = p[1::3] + rng = random.RandomState(1432985819) + non_contig = rng.multinomial(100, pvals=pvals) + rng = random.RandomState(1432985819) + contig = rng.multinomial(100, pvals=np.ascontiguousarray(pvals)) + assert_array_equal(non_contig, contig) + + def test_multinomial_pvals_float32(self): + x = np.array([9.9e-01, 9.9e-01, 1.0e-09, 1.0e-09, 1.0e-09, 1.0e-09, + 1.0e-09, 1.0e-09, 1.0e-09, 1.0e-09], dtype=np.float32) + pvals = x / x.sum() + match = r"[\w\s]*pvals array is cast to 64-bit floating" + with pytest.raises(ValueError, match=match): + random.multinomial(1, pvals) + + def test_multinomial_n_float(self): + # Non-index integer types should gracefully truncate floats + random.multinomial(100.5, [0.2, 0.8]) + + +class TestSetState: + def _create_state(self): + seed = 1234567890 + random_state = random.RandomState(seed) + state = random_state.get_state() + return random_state, state + + def test_basic(self): + random_state, state = self._create_state() + old = random_state.tomaxint(16) + random_state.set_state(state) + new = random_state.tomaxint(16) + assert_(np.all(old == new)) + + def test_gaussian_reset(self): + # Make sure the cached every-other-Gaussian is reset. + random_state, state = self._create_state() + old = random_state.standard_normal(size=3) + random_state.set_state(state) + new = random_state.standard_normal(size=3) + assert_(np.all(old == new)) + + def test_gaussian_reset_in_media_res(self): + # When the state is saved with a cached Gaussian, make sure the + # cached Gaussian is restored. + random_state, state = self._create_state() + random_state.standard_normal() + state = random_state.get_state() + old = random_state.standard_normal(size=3) + random_state.set_state(state) + new = random_state.standard_normal(size=3) + assert_(np.all(old == new)) + + def test_backwards_compatibility(self): + # Make sure we can accept old state tuples that do not have the + # cached Gaussian value. + random_state, state = self._create_state() + old_state = state[:-2] + x1 = random_state.standard_normal(size=16) + random_state.set_state(old_state) + x2 = random_state.standard_normal(size=16) + random_state.set_state(state) + x3 = random_state.standard_normal(size=16) + assert_(np.all(x1 == x2)) + assert_(np.all(x1 == x3)) + + def test_negative_binomial(self): + # Ensure that the negative binomial results take floating point + # arguments without truncation. + random_state, _ = self._create_state() + random_state.negative_binomial(0.5, 0.5) + + def test_get_state_warning(self): + rs = random.RandomState(PCG64()) + with pytest.warns(RuntimeWarning): + state = rs.get_state() + assert isinstance(state, dict) + assert state['bit_generator'] == 'PCG64' + + def test_invalid_legacy_state_setting(self): + random_state, state = self._create_state() + state = random_state.get_state() + new_state = ('Unknown', ) + state[1:] + assert_raises(ValueError, random_state.set_state, new_state) + assert_raises(TypeError, random_state.set_state, + np.array(new_state, dtype=object)) + state = random_state.get_state(legacy=False) + del state['bit_generator'] + assert_raises(ValueError, random_state.set_state, state) + + def test_pickle(self): + random_state, _ = self._create_state() + random_state.seed(0) + random_state.random_sample(100) + random_state.standard_normal() + pickled = random_state.get_state(legacy=False) + assert_equal(pickled['has_gauss'], 1) + rs_unpick = pickle.loads(pickle.dumps(random_state)) + unpickled = rs_unpick.get_state(legacy=False) + assert_mt19937_state_equal(pickled, unpickled) + + def test_state_setting(self): + random_state, state = self._create_state() + attr_state = random_state.__getstate__() + random_state.standard_normal() + random_state.__setstate__(attr_state) + state = random_state.get_state(legacy=False) + assert_mt19937_state_equal(attr_state, state) + + def test_repr(self): + random_state, _ = self._create_state() + assert repr(random_state).startswith('RandomState(MT19937)') + + +class TestRandint: + + # valid integer/boolean types + itype = [np.bool, np.int8, np.uint8, np.int16, np.uint16, + np.int32, np.uint32, np.int64, np.uint64] + + def test_unsupported_type(self): + rng = np.random.RandomState() + assert_raises(TypeError, rng.randint, 1, dtype=float) + + def test_bounds_checking(self): + rng = np.random.RandomState() + for dt in self.itype: + lbnd = 0 if dt is np.bool else np.iinfo(dt).min + ubnd = 2 if dt is np.bool else np.iinfo(dt).max + 1 + assert_raises(ValueError, rng.randint, lbnd - 1, ubnd, dtype=dt) + assert_raises(ValueError, rng.randint, lbnd, ubnd + 1, dtype=dt) + assert_raises(ValueError, rng.randint, ubnd, lbnd, dtype=dt) + assert_raises(ValueError, rng.randint, 1, 0, dtype=dt) + + def test_rng_zero_and_extremes(self): + rng = np.random.RandomState() + for dt in self.itype: + lbnd = 0 if dt is np.bool else np.iinfo(dt).min + ubnd = 2 if dt is np.bool else np.iinfo(dt).max + 1 + + tgt = ubnd - 1 + assert_equal(rng.randint(tgt, tgt + 1, size=1000, dtype=dt), tgt) + + tgt = lbnd + assert_equal(rng.randint(tgt, tgt + 1, size=1000, dtype=dt), tgt) + + tgt = (lbnd + ubnd) // 2 + assert_equal(rng.randint(tgt, tgt + 1, size=1000, dtype=dt), tgt) + + def test_full_range(self): + # Test for ticket #1690 + rng = np.random.RandomState() + + for dt in self.itype: + lbnd = 0 if dt is np.bool else np.iinfo(dt).min + ubnd = 2 if dt is np.bool else np.iinfo(dt).max + 1 + + try: + rng.randint(lbnd, ubnd, dtype=dt) + except Exception as e: + raise AssertionError("No error should have been raised, " + "but one was with the following " + "message:\n\n%s" % str(e)) + + def test_in_bounds_fuzz(self): + # Don't use fixed seed + rng = np.random.RandomState() + + for dt in self.itype[1:]: + for ubnd in [4, 8, 16]: + vals = rng.randint(2, ubnd, size=2**16, dtype=dt) + assert_(vals.max() < ubnd) + assert_(vals.min() >= 2) + + vals = rng.randint(0, 2, size=2**16, dtype=np.bool) + + assert_(vals.max() < 2) + assert_(vals.min() >= 0) + + def test_repeatability(self): + # We use a sha256 hash of generated sequences of 1000 samples + # in the range [0, 6) for all but bool, where the range + # is [0, 2). Hashes are for little endian numbers. + tgt = {'bool': '509aea74d792fb931784c4b0135392c65aec64beee12b0cc167548a2c3d31e71', # noqa: E501 + 'int16': '7b07f1a920e46f6d0fe02314155a2330bcfd7635e708da50e536c5ebb631a7d4', # noqa: E501 + 'int32': 'e577bfed6c935de944424667e3da285012e741892dcb7051a8f1ce68ab05c92f', # noqa: E501 + 'int64': '0fbead0b06759df2cfb55e43148822d4a1ff953c7eb19a5b08445a63bb64fa9e', # noqa: E501 + 'int8': '001aac3a5acb935a9b186cbe14a1ca064b8bb2dd0b045d48abeacf74d0203404', # noqa: E501 + 'uint16': '7b07f1a920e46f6d0fe02314155a2330bcfd7635e708da50e536c5ebb631a7d4', # noqa: E501 + 'uint32': 'e577bfed6c935de944424667e3da285012e741892dcb7051a8f1ce68ab05c92f', # noqa: E501 + 'uint64': '0fbead0b06759df2cfb55e43148822d4a1ff953c7eb19a5b08445a63bb64fa9e', # noqa: E501 + 'uint8': '001aac3a5acb935a9b186cbe14a1ca064b8bb2dd0b045d48abeacf74d0203404'} # noqa: E501 + + for dt in self.itype[1:]: + rng = random.RandomState(1234) + + # view as little endian for hash + if sys.byteorder == 'little': + val = rng.randint(0, 6, size=1000, dtype=dt) + else: + val = rng.randint(0, 6, size=1000, dtype=dt).byteswap() + + res = hashlib.sha256(val.view(np.int8)).hexdigest() + assert_(tgt[np.dtype(dt).name] == res) + + # bools do not depend on endianness + rng = random.RandomState(1234) + val = rng.randint(0, 2, size=1000, dtype=bool).view(np.int8) + res = hashlib.sha256(val).hexdigest() + assert_(tgt[np.dtype(bool).name] == res) + + @pytest.mark.skipif(np.iinfo('l').max < 2**32, + reason='Cannot test with 32-bit C long') + def test_repeatability_32bit_boundary_broadcasting(self): + desired = np.array([[[3992670689, 2438360420, 2557845020], + [4107320065, 4142558326, 3216529513], + [1605979228, 2807061240, 665605495]], + [[3211410639, 4128781000, 457175120], + [1712592594, 1282922662, 3081439808], + [3997822960, 2008322436, 1563495165]], + [[1398375547, 4269260146, 115316740], + [3414372578, 3437564012, 2112038651], + [3572980305, 2260248732, 3908238631]], + [[2561372503, 223155946, 3127879445], + [ 441282060, 3514786552, 2148440361], + [1629275283, 3479737011, 3003195987]], + [[ 412181688, 940383289, 3047321305], + [2978368172, 764731833, 2282559898], + [ 105711276, 720447391, 3596512484]]]) + for size in [None, (5, 3, 3)]: + rng = random.RandomState(12345) + x = rng.randint([[-1], [0], [1]], [2**32 - 1, 2**32, 2**32 + 1], + size=size) + assert_array_equal(x, desired if size is not None else desired[0]) + + def test_int64_uint64_corner_case(self): + # When stored in Numpy arrays, `lbnd` is casted + # as np.int64, and `ubnd` is casted as np.uint64. + # Checking whether `lbnd` >= `ubnd` used to be + # done solely via direct comparison, which is incorrect + # because when Numpy tries to compare both numbers, + # it casts both to np.float64 because there is + # no integer superset of np.int64 and np.uint64. However, + # `ubnd` is too large to be represented in np.float64, + # causing it be round down to np.iinfo(np.int64).max, + # leading to a ValueError because `lbnd` now equals + # the new `ubnd`. + + dt = np.int64 + tgt = np.iinfo(np.int64).max + lbnd = np.int64(np.iinfo(np.int64).max) + ubnd = np.uint64(np.iinfo(np.int64).max + 1) + + # None of these function calls should + # generate a ValueError now. + actual = random.randint(lbnd, ubnd, dtype=dt) + assert_equal(actual, tgt) + + def test_respect_dtype_singleton(self): + # See gh-7203 + rng = np.random.RandomState() + + for dt in self.itype: + lbnd = 0 if dt is np.bool else np.iinfo(dt).min + ubnd = 2 if dt is np.bool else np.iinfo(dt).max + 1 + + sample = rng.randint(lbnd, ubnd, dtype=dt) + assert_equal(sample.dtype, np.dtype(dt)) + + for dt in (bool, int): + # The legacy random generation forces the use of "long" on this + # branch even when the input is `int` and the default dtype + # for int changed (dtype=int is also the functions default) + op_dtype = "long" if dt is int else "bool" + lbnd = 0 if dt is bool else np.iinfo(op_dtype).min + ubnd = 2 if dt is bool else np.iinfo(op_dtype).max + 1 + + sample = rng.randint(lbnd, ubnd, dtype=dt) + assert_(not hasattr(sample, 'dtype')) + assert_equal(type(sample), dt) + + +class TestRandomDist: + # Make sure the random distribution returns the correct value for a + # given seed + seed = 1234567890 + + def test_rand(self): + rng = random.RandomState(self.seed) + actual = rng.rand(3, 2) + desired = np.array([[0.61879477158567997, 0.59162362775974664], + [0.88868358904449662, 0.89165480011560816], + [0.4575674820298663, 0.7781880808593471]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_rand_singleton(self): + rng = random.RandomState(self.seed) + actual = rng.rand() + desired = 0.61879477158567997 + assert_array_almost_equal(actual, desired, decimal=15) + + def test_randn(self): + rng = random.RandomState(self.seed) + actual = rng.randn(3, 2) + desired = np.array([[1.34016345771863121, 1.73759122771936081], + [1.498988344300628, -0.2286433324536169], + [2.031033998682787, 2.17032494605655257]]) + assert_array_almost_equal(actual, desired, decimal=15) + + rng = random.RandomState(self.seed) + actual = rng.randn() + assert_array_almost_equal(actual, desired[0, 0], decimal=15) + + def test_randint(self): + rng = random.RandomState(self.seed) + actual = rng.randint(-99, 99, size=(3, 2)) + desired = np.array([[31, 3], + [-52, 41], + [-48, -66]]) + assert_array_equal(actual, desired) + + def test_random_integers(self): + rng = random.RandomState(self.seed) + with pytest.warns(DeprecationWarning): + actual = rng.random_integers(-99, 99, size=(3, 2)) + desired = np.array([[31, 3], + [-52, 41], + [-48, -66]]) + assert_array_equal(actual, desired) + + rng = random.RandomState(self.seed) + with pytest.warns(DeprecationWarning): + actual = rng.random_integers(198, size=(3, 2)) + assert_array_equal(actual, desired + 100) + + def test_tomaxint(self): + rs = random.RandomState(self.seed) + actual = rs.tomaxint(size=(3, 2)) + if np.iinfo(np.long).max == 2147483647: + desired = np.array([[1328851649, 731237375], + [1270502067, 320041495], + [1908433478, 499156889]], dtype=np.int64) + else: + desired = np.array([[5707374374421908479, 5456764827585442327], + [8196659375100692377, 8224063923314595285], + [4220315081820346526, 7177518203184491332]], + dtype=np.int64) + + assert_equal(actual, desired) + + rs.seed(self.seed) + actual = rs.tomaxint() + assert_equal(actual, desired[0, 0]) + + def test_random_integers_max_int(self): + # Tests whether random_integers can generate the + # maximum allowed Python int that can be converted + # into a C long. Previous implementations of this + # method have thrown an OverflowError when attempting + # to generate this integer. + with pytest.warns(DeprecationWarning): + actual = random.random_integers(np.iinfo('l').max, + np.iinfo('l').max) + + desired = np.iinfo('l').max + assert_equal(actual, desired) + with pytest.warns(DeprecationWarning): + typer = np.dtype('l').type + actual = random.random_integers(typer(np.iinfo('l').max), + typer(np.iinfo('l').max)) + assert_equal(actual, desired) + + def test_random_integers_deprecated(self): + with warnings.catch_warnings(): + warnings.simplefilter("error", DeprecationWarning) + + # DeprecationWarning raised with high == None + assert_raises(DeprecationWarning, + random.random_integers, + np.iinfo('l').max) + + # DeprecationWarning raised with high != None + assert_raises(DeprecationWarning, + random.random_integers, + np.iinfo('l').max, np.iinfo('l').max) + + def test_random_sample(self): + rng = random.RandomState(self.seed) + actual = rng.random_sample((3, 2)) + desired = np.array([[0.61879477158567997, 0.59162362775974664], + [0.88868358904449662, 0.89165480011560816], + [0.4575674820298663, 0.7781880808593471]]) + assert_array_almost_equal(actual, desired, decimal=15) + + rng = random.RandomState(self.seed) + actual = rng.random_sample() + assert_array_almost_equal(actual, desired[0, 0], decimal=15) + + def test_choice_uniform_replace(self): + rng = random.RandomState(self.seed) + actual = rng.choice(4, 4) + desired = np.array([2, 3, 2, 3]) + assert_array_equal(actual, desired) + + def test_choice_nonuniform_replace(self): + rng = random.RandomState(self.seed) + actual = rng.choice(4, 4, p=[0.4, 0.4, 0.1, 0.1]) + desired = np.array([1, 1, 2, 2]) + assert_array_equal(actual, desired) + + def test_choice_uniform_noreplace(self): + rng = random.RandomState(self.seed) + actual = rng.choice(4, 3, replace=False) + desired = np.array([0, 1, 3]) + assert_array_equal(actual, desired) + + def test_choice_nonuniform_noreplace(self): + rng = random.RandomState(self.seed) + actual = rng.choice(4, 3, replace=False, p=[0.1, 0.3, 0.5, 0.1]) + desired = np.array([2, 3, 1]) + assert_array_equal(actual, desired) + + def test_choice_noninteger(self): + rng = random.RandomState(self.seed) + actual = rng.choice(['a', 'b', 'c', 'd'], 4) + desired = np.array(['c', 'd', 'c', 'd']) + assert_array_equal(actual, desired) + + def test_choice_exceptions(self): + sample = random.choice + assert_raises(ValueError, sample, -1, 3) + assert_raises(ValueError, sample, 3., 3) + assert_raises(ValueError, sample, [[1, 2], [3, 4]], 3) + assert_raises(ValueError, sample, [], 3) + assert_raises(ValueError, sample, [1, 2, 3, 4], 3, + p=[[0.25, 0.25], [0.25, 0.25]]) + assert_raises(ValueError, sample, [1, 2], 3, p=[0.4, 0.4, 0.2]) + assert_raises(ValueError, sample, [1, 2], 3, p=[1.1, -0.1]) + assert_raises(ValueError, sample, [1, 2], 3, p=[0.4, 0.4]) + assert_raises(ValueError, sample, [1, 2, 3], 4, replace=False) + # gh-13087 + assert_raises(ValueError, sample, [1, 2, 3], -2, replace=False) + assert_raises(ValueError, sample, [1, 2, 3], (-1,), replace=False) + assert_raises(ValueError, sample, [1, 2, 3], (-1, 1), replace=False) + assert_raises(ValueError, sample, [1, 2, 3], 2, + replace=False, p=[1, 0, 0]) + + def test_choice_return_shape(self): + p = [0.1, 0.9] + # Check scalar + assert_(np.isscalar(random.choice(2, replace=True))) + assert_(np.isscalar(random.choice(2, replace=False))) + assert_(np.isscalar(random.choice(2, replace=True, p=p))) + assert_(np.isscalar(random.choice(2, replace=False, p=p))) + assert_(np.isscalar(random.choice([1, 2], replace=True))) + assert_(random.choice([None], replace=True) is None) + a = np.array([1, 2]) + arr = np.empty(1, dtype=object) + arr[0] = a + assert_(random.choice(arr, replace=True) is a) + + # Check 0-d array + s = () + assert_(not np.isscalar(random.choice(2, s, replace=True))) + assert_(not np.isscalar(random.choice(2, s, replace=False))) + assert_(not np.isscalar(random.choice(2, s, replace=True, p=p))) + assert_(not np.isscalar(random.choice(2, s, replace=False, p=p))) + assert_(not np.isscalar(random.choice([1, 2], s, replace=True))) + assert_(random.choice([None], s, replace=True).ndim == 0) + a = np.array([1, 2]) + arr = np.empty(1, dtype=object) + arr[0] = a + assert_(random.choice(arr, s, replace=True).item() is a) + + # Check multi dimensional array + s = (2, 3) + p = [0.1, 0.1, 0.1, 0.1, 0.4, 0.2] + assert_equal(random.choice(6, s, replace=True).shape, s) + assert_equal(random.choice(6, s, replace=False).shape, s) + assert_equal(random.choice(6, s, replace=True, p=p).shape, s) + assert_equal(random.choice(6, s, replace=False, p=p).shape, s) + assert_equal(random.choice(np.arange(6), s, replace=True).shape, s) + + # Check zero-size + assert_equal(random.randint(0, 0, size=(3, 0, 4)).shape, (3, 0, 4)) + assert_equal(random.randint(0, -10, size=0).shape, (0,)) + assert_equal(random.randint(10, 10, size=0).shape, (0,)) + assert_equal(random.choice(0, size=0).shape, (0,)) + assert_equal(random.choice([], size=(0,)).shape, (0,)) + assert_equal(random.choice(['a', 'b'], size=(3, 0, 4)).shape, + (3, 0, 4)) + assert_raises(ValueError, random.choice, [], 10) + + def test_choice_nan_probabilities(self): + a = np.array([42, 1, 2]) + p = [None, None, None] + assert_raises(ValueError, random.choice, a, p=p) + + def test_choice_p_non_contiguous(self): + p = np.ones(10) / 5 + p[1::2] = 3.0 + rng = random.RandomState(self.seed) + non_contig = rng.choice(5, 3, p=p[::2]) + rng = random.RandomState(self.seed) + contig = rng.choice(5, 3, p=np.ascontiguousarray(p[::2])) + assert_array_equal(non_contig, contig) + + def test_bytes(self): + rng = random.RandomState(self.seed) + actual = rng.bytes(10) + desired = b'\x82Ui\x9e\xff\x97+Wf\xa5' + assert_equal(actual, desired) + + def test_shuffle(self): + # Test lists, arrays (of various dtypes), and multidimensional versions + # of both, c-contiguous or not: + for conv in [lambda x: np.array([]), + lambda x: x, + lambda x: np.asarray(x).astype(np.int8), + lambda x: np.asarray(x).astype(np.float32), + lambda x: np.asarray(x).astype(np.complex64), + lambda x: np.asarray(x).astype(object), + lambda x: [(i, i) for i in x], + lambda x: np.asarray([[i, i] for i in x]), + lambda x: np.vstack([x, x]).T, + # gh-11442 + lambda x: (np.asarray([(i, i) for i in x], + [("a", int), ("b", int)]) + .view(np.recarray)), + # gh-4270 + lambda x: np.asarray([(i, i) for i in x], + [("a", object, (1,)), + ("b", np.int32, (1,))])]: + rng = random.RandomState(self.seed) + alist = conv([1, 2, 3, 4, 5, 6, 7, 8, 9, 0]) + rng.shuffle(alist) + actual = alist + desired = conv([0, 1, 9, 6, 2, 4, 5, 8, 7, 3]) + assert_array_equal(actual, desired) + + def test_shuffle_masked(self): + # gh-3263 + a = np.ma.masked_values(np.reshape(range(20), (5, 4)) % 3 - 1, -1) + b = np.ma.masked_values(np.arange(20) % 3 - 1, -1) + a_orig = a.copy() + b_orig = b.copy() + for i in range(50): + random.shuffle(a) + assert_equal( + sorted(a.data[~a.mask]), sorted(a_orig.data[~a_orig.mask])) + random.shuffle(b) + assert_equal( + sorted(b.data[~b.mask]), sorted(b_orig.data[~b_orig.mask])) + + def test_shuffle_invalid_objects(self): + x = np.array(3) + assert_raises(TypeError, random.shuffle, x) + + def test_permutation(self): + rng = random.RandomState(self.seed) + alist = [1, 2, 3, 4, 5, 6, 7, 8, 9, 0] + actual = rng.permutation(alist) + desired = [0, 1, 9, 6, 2, 4, 5, 8, 7, 3] + assert_array_equal(actual, desired) + + rng = random.RandomState(self.seed) + arr_2d = np.atleast_2d([1, 2, 3, 4, 5, 6, 7, 8, 9, 0]).T + actual = rng.permutation(arr_2d) + assert_array_equal(actual, np.atleast_2d(desired).T) + + rng = random.RandomState(self.seed) + bad_x_str = "abcd" + assert_raises(IndexError, random.permutation, bad_x_str) + + rng = random.RandomState(self.seed) + bad_x_float = 1.2 + assert_raises(IndexError, random.permutation, bad_x_float) + + integer_val = 10 + desired = [9, 0, 8, 5, 1, 3, 4, 7, 6, 2] + + rng = random.RandomState(self.seed) + actual = rng.permutation(integer_val) + assert_array_equal(actual, desired) + + def test_beta(self): + rng = random.RandomState(self.seed) + actual = rng.beta(.1, .9, size=(3, 2)) + desired = np.array( + [[1.45341850513746058e-02, 5.31297615662868145e-04], + [1.85366619058432324e-06, 4.19214516800110563e-03], + [1.58405155108498093e-04, 1.26252891949397652e-04]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_binomial(self): + rng = random.RandomState(self.seed) + actual = rng.binomial(100.123, .456, size=(3, 2)) + desired = np.array([[37, 43], + [42, 48], + [46, 45]]) + assert_array_equal(actual, desired) + + rng = random.RandomState(self.seed) + actual = rng.binomial(100.123, .456) + desired = 37 + assert_array_equal(actual, desired) + + def test_chisquare(self): + rng = random.RandomState(self.seed) + actual = rng.chisquare(50, size=(3, 2)) + desired = np.array([[63.87858175501090585, 68.68407748911370447], + [65.77116116901505904, 47.09686762438974483], + [72.3828403199695174, 74.18408615260374006]]) + assert_array_almost_equal(actual, desired, decimal=13) + + def test_dirichlet(self): + rng = random.RandomState(self.seed) + alpha = np.array([51.72840233779265162, 39.74494232180943953]) + actual = rng.dirichlet(alpha, size=(3, 2)) + desired = np.array([[[0.54539444573611562, 0.45460555426388438], + [0.62345816822039413, 0.37654183177960598]], + [[0.55206000085785778, 0.44793999914214233], + [0.58964023305154301, 0.41035976694845688]], + [[0.59266909280647828, 0.40733090719352177], + [0.56974431743975207, 0.43025568256024799]]]) + assert_array_almost_equal(actual, desired, decimal=15) + bad_alpha = np.array([5.4e-01, -1.0e-16]) + assert_raises(ValueError, random.dirichlet, bad_alpha) + + rng = random.RandomState(self.seed) + alpha = np.array([51.72840233779265162, 39.74494232180943953]) + actual = rng.dirichlet(alpha) + assert_array_almost_equal(actual, desired[0, 0], decimal=15) + + def test_dirichlet_size(self): + # gh-3173 + p = np.array([51.72840233779265162, 39.74494232180943953]) + assert_equal(random.dirichlet(p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.dirichlet(p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.dirichlet(p, np.uint32(1)).shape, (1, 2)) + assert_equal(random.dirichlet(p, [2, 2]).shape, (2, 2, 2)) + assert_equal(random.dirichlet(p, (2, 2)).shape, (2, 2, 2)) + assert_equal(random.dirichlet(p, np.array((2, 2))).shape, (2, 2, 2)) + + assert_raises(TypeError, random.dirichlet, p, float(1)) + + def test_dirichlet_bad_alpha(self): + # gh-2089 + alpha = np.array([5.4e-01, -1.0e-16]) + assert_raises(ValueError, random.dirichlet, alpha) + + def test_dirichlet_alpha_non_contiguous(self): + a = np.array([51.72840233779265162, -1.0, 39.74494232180943953]) + alpha = a[::2] + rng = random.RandomState(self.seed) + non_contig = rng.dirichlet(alpha, size=(3, 2)) + rng = random.RandomState(self.seed) + contig = rng.dirichlet(np.ascontiguousarray(alpha), + size=(3, 2)) + assert_array_almost_equal(non_contig, contig) + + def test_exponential(self): + rng = random.RandomState(self.seed) + actual = rng.exponential(1.1234, size=(3, 2)) + desired = np.array([[1.08342649775011624, 1.00607889924557314], + [2.46628830085216721, 2.49668106809923884], + [0.68717433461363442, 1.69175666993575979]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_exponential_0(self): + assert_equal(random.exponential(scale=0), 0) + assert_raises(ValueError, random.exponential, scale=-0.) + + def test_f(self): + rng = random.RandomState(self.seed) + actual = rng.f(12, 77, size=(3, 2)) + desired = np.array([[1.21975394418575878, 1.75135759791559775], + [1.44803115017146489, 1.22108959480396262], + [1.02176975757740629, 1.34431827623300415]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_gamma(self): + rng = random.RandomState(self.seed) + actual = rng.gamma(5, 3, size=(3, 2)) + desired = np.array([[24.60509188649287182, 28.54993563207210627], + [26.13476110204064184, 12.56988482927716078], + [31.71863275789960568, 33.30143302795922011]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_gamma_0(self): + assert_equal(random.gamma(shape=0, scale=0), 0) + assert_raises(ValueError, random.gamma, shape=-0., scale=-0.) + + def test_geometric(self): + rng = random.RandomState(self.seed) + actual = rng.geometric(.123456789, size=(3, 2)) + desired = np.array([[8, 7], + [17, 17], + [5, 12]]) + assert_array_equal(actual, desired) + + def test_geometric_exceptions(self): + assert_raises(ValueError, random.geometric, 1.1) + assert_raises(ValueError, random.geometric, [1.1] * 10) + assert_raises(ValueError, random.geometric, -0.1) + assert_raises(ValueError, random.geometric, [-0.1] * 10) + with warnings.catch_warnings(): + warnings.simplefilter('ignore', RuntimeWarning) + assert_raises(ValueError, random.geometric, np.nan) + assert_raises(ValueError, random.geometric, [np.nan] * 10) + + def test_gumbel(self): + rng = random.RandomState(self.seed) + actual = rng.gumbel(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[0.19591898743416816, 0.34405539668096674], + [-1.4492522252274278, -1.47374816298446865], + [1.10651090478803416, -0.69535848626236174]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_gumbel_0(self): + assert_equal(random.gumbel(scale=0), 0) + assert_raises(ValueError, random.gumbel, scale=-0.) + + def test_hypergeometric(self): + rng = random.RandomState(self.seed) + actual = rng.hypergeometric(10.1, 5.5, 14, size=(3, 2)) + desired = np.array([[10, 10], + [10, 10], + [9, 9]]) + assert_array_equal(actual, desired) + + # Test nbad = 0 + actual = rng.hypergeometric(5, 0, 3, size=4) + desired = np.array([3, 3, 3, 3]) + assert_array_equal(actual, desired) + + actual = rng.hypergeometric(15, 0, 12, size=4) + desired = np.array([12, 12, 12, 12]) + assert_array_equal(actual, desired) + + # Test ngood = 0 + actual = rng.hypergeometric(0, 5, 3, size=4) + desired = np.array([0, 0, 0, 0]) + assert_array_equal(actual, desired) + + actual = rng.hypergeometric(0, 15, 12, size=4) + desired = np.array([0, 0, 0, 0]) + assert_array_equal(actual, desired) + + def test_laplace(self): + rng = random.RandomState(self.seed) + actual = rng.laplace(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[0.66599721112760157, 0.52829452552221945], + [3.12791959514407125, 3.18202813572992005], + [-0.05391065675859356, 1.74901336242837324]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_laplace_0(self): + assert_equal(random.laplace(scale=0), 0) + assert_raises(ValueError, random.laplace, scale=-0.) + + def test_logistic(self): + rng = random.RandomState(self.seed) + actual = rng.logistic(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[1.09232835305011444, 0.8648196662399954], + [4.27818590694950185, 4.33897006346929714], + [-0.21682183359214885, 2.63373365386060332]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_lognormal(self): + rng = random.RandomState(self.seed) + actual = rng.lognormal(mean=.123456789, sigma=2.0, size=(3, 2)) + desired = np.array([[16.50698631688883822, 36.54846706092654784], + [22.67886599981281748, 0.71617561058995771], + [65.72798501792723869, 86.84341601437161273]]) + assert_array_almost_equal(actual, desired, decimal=13) + + def test_lognormal_0(self): + assert_equal(random.lognormal(sigma=0), 1) + assert_raises(ValueError, random.lognormal, sigma=-0.) + + def test_logseries(self): + rng = random.RandomState(self.seed) + actual = rng.logseries(p=.923456789, size=(3, 2)) + desired = np.array([[2, 2], + [6, 17], + [3, 6]]) + assert_array_equal(actual, desired) + + def test_logseries_zero(self): + assert random.logseries(0) == 1 + + @pytest.mark.parametrize("value", [np.nextafter(0., -1), 1., np.nan, 5.]) + def test_logseries_exceptions(self, value): + with np.errstate(invalid="ignore"): + with pytest.raises(ValueError): + random.logseries(value) + with pytest.raises(ValueError): + # contiguous path: + random.logseries(np.array([value] * 10)) + with pytest.raises(ValueError): + # non-contiguous path: + random.logseries(np.array([value] * 10)[::2]) + + def test_multinomial(self): + rng = random.RandomState(self.seed) + actual = rng.multinomial(20, [1 / 6.] * 6, size=(3, 2)) + desired = np.array([[[4, 3, 5, 4, 2, 2], + [5, 2, 8, 2, 2, 1]], + [[3, 4, 3, 6, 0, 4], + [2, 1, 4, 3, 6, 4]], + [[4, 4, 2, 5, 2, 3], + [4, 3, 4, 2, 3, 4]]]) + assert_array_equal(actual, desired) + + def test_multivariate_normal(self): + rng = random.RandomState(self.seed) + mean = (.123456789, 10) + cov = [[1, 0], [0, 1]] + size = (3, 2) + actual = rng.multivariate_normal(mean, cov, size) + desired = np.array([[[1.463620246718631, 11.73759122771936], + [1.622445133300628, 9.771356667546383]], + [[2.154490787682787, 12.170324946056553], + [1.719909438201865, 9.230548443648306]], + [[0.689515026297799, 9.880729819607714], + [-0.023054015651998, 9.201096623542879]]]) + + assert_array_almost_equal(actual, desired, decimal=15) + + # Check for default size, was raising deprecation warning + actual = rng.multivariate_normal(mean, cov) + desired = np.array([0.895289569463708, 9.17180864067987]) + assert_array_almost_equal(actual, desired, decimal=15) + + # Check that non positive-semidefinite covariance warns with + # RuntimeWarning + mean = [0, 0] + cov = [[1, 2], [2, 1]] + pytest.warns(RuntimeWarning, rng.multivariate_normal, mean, cov) + + # and that it doesn't warn with RuntimeWarning check_valid='ignore' + assert_no_warnings(rng.multivariate_normal, mean, cov, + check_valid='ignore') + + # and that it raises with RuntimeWarning check_valid='raises' + assert_raises(ValueError, rng.multivariate_normal, mean, cov, + check_valid='raise') + + cov = np.array([[1, 0.1], [0.1, 1]], dtype=np.float32) + with warnings.catch_warnings(): + warnings.simplefilter('error', RuntimeWarning) + rng.multivariate_normal(mean, cov) + + mu = np.zeros(2) + cov = np.eye(2) + assert_raises(ValueError, rng.multivariate_normal, mean, cov, + check_valid='other') + assert_raises(ValueError, rng.multivariate_normal, + np.zeros((2, 1, 1)), cov) + assert_raises(ValueError, rng.multivariate_normal, + mu, np.empty((3, 2))) + assert_raises(ValueError, rng.multivariate_normal, + mu, np.eye(3)) + + def test_negative_binomial(self): + rng = random.RandomState(self.seed) + actual = rng.negative_binomial(n=100, p=.12345, size=(3, 2)) + desired = np.array([[848, 841], + [892, 611], + [779, 647]]) + assert_array_equal(actual, desired) + + def test_negative_binomial_exceptions(self): + with warnings.catch_warnings(): + warnings.simplefilter('ignore', RuntimeWarning) + assert_raises(ValueError, random.negative_binomial, 100, np.nan) + assert_raises(ValueError, random.negative_binomial, 100, + [np.nan] * 10) + + def test_noncentral_chisquare(self): + rng = random.RandomState(self.seed) + actual = rng.noncentral_chisquare(df=5, nonc=5, size=(3, 2)) + desired = np.array([[23.91905354498517511, 13.35324692733826346], + [31.22452661329736401, 16.60047399466177254], + [5.03461598262724586, 17.94973089023519464]]) + assert_array_almost_equal(actual, desired, decimal=14) + + actual = rng.noncentral_chisquare(df=.5, nonc=.2, size=(3, 2)) + desired = np.array([[1.47145377828516666, 0.15052899268012659], + [0.00943803056963588, 1.02647251615666169], + [0.332334982684171, 0.15451287602753125]]) + assert_array_almost_equal(actual, desired, decimal=14) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_chisquare(df=5, nonc=0, size=(3, 2)) + desired = np.array([[9.597154162763948, 11.725484450296079], + [10.413711048138335, 3.694475922923986], + [13.484222138963087, 14.377255424602957]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_noncentral_f(self): + rng = random.RandomState(self.seed) + actual = rng.noncentral_f(dfnum=5, dfden=2, nonc=1, + size=(3, 2)) + desired = np.array([[1.40598099674926669, 0.34207973179285761], + [3.57715069265772545, 7.92632662577829805], + [0.43741599463544162, 1.1774208752428319]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_noncentral_f_nan(self): + random.seed(self.seed) + actual = random.noncentral_f(dfnum=5, dfden=2, nonc=np.nan) + assert np.isnan(actual) + + def test_normal(self): + rng = random.RandomState(self.seed) + actual = rng.normal(loc=.123456789, scale=2.0, size=(3, 2)) + desired = np.array([[2.80378370443726244, 3.59863924443872163], + [3.121433477601256, -0.33382987590723379], + [4.18552478636557357, 4.46410668111310471]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_normal_0(self): + assert_equal(random.normal(scale=0), 0) + assert_raises(ValueError, random.normal, scale=-0.) + + def test_pareto(self): + rng = random.RandomState(self.seed) + actual = rng.pareto(a=.123456789, size=(3, 2)) + desired = np.array( + [[2.46852460439034849e+03, 1.41286880810518346e+03], + [5.28287797029485181e+07, 6.57720981047328785e+07], + [1.40840323350391515e+02, 1.98390255135251704e+05]]) + # For some reason on 32-bit x86 Ubuntu 12.10 the [1, 0] entry in this + # matrix differs by 24 nulps. Discussion: + # https://mail.python.org/pipermail/numpy-discussion/2012-September/063801.html + # Consensus is that this is probably some gcc quirk that affects + # rounding but not in any important way, so we just use a looser + # tolerance on this test: + np.testing.assert_array_almost_equal_nulp(actual, desired, nulp=30) + + def test_poisson(self): + rng = random.RandomState(self.seed) + actual = rng.poisson(lam=.123456789, size=(3, 2)) + desired = np.array([[0, 0], + [1, 0], + [0, 0]]) + assert_array_equal(actual, desired) + + def test_poisson_exceptions(self): + lambig = np.iinfo('l').max + lamneg = -1 + assert_raises(ValueError, random.poisson, lamneg) + assert_raises(ValueError, random.poisson, [lamneg] * 10) + assert_raises(ValueError, random.poisson, lambig) + assert_raises(ValueError, random.poisson, [lambig] * 10) + with warnings.catch_warnings(): + warnings.simplefilter('ignore', RuntimeWarning) + assert_raises(ValueError, random.poisson, np.nan) + assert_raises(ValueError, random.poisson, [np.nan] * 10) + + def test_power(self): + rng = random.RandomState(self.seed) + actual = rng.power(a=.123456789, size=(3, 2)) + desired = np.array([[0.02048932883240791, 0.01424192241128213], + [0.38446073748535298, 0.39499689943484395], + [0.00177699707563439, 0.13115505880863756]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_rayleigh(self): + rng = random.RandomState(self.seed) + actual = rng.rayleigh(scale=10, size=(3, 2)) + desired = np.array([[13.8882496494248393, 13.383318339044731], + [20.95413364294492098, 21.08285015800712614], + [11.06066537006854311, 17.35468505778271009]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_rayleigh_0(self): + assert_equal(random.rayleigh(scale=0), 0) + assert_raises(ValueError, random.rayleigh, scale=-0.) + + def test_standard_cauchy(self): + rng = random.RandomState(self.seed) + actual = rng.standard_cauchy(size=(3, 2)) + desired = np.array([[0.77127660196445336, -6.55601161955910605], + [0.93582023391158309, -2.07479293013759447], + [-4.74601644297011926, 0.18338989290760804]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_standard_exponential(self): + rng = random.RandomState(self.seed) + actual = rng.standard_exponential(size=(3, 2)) + desired = np.array([[0.96441739162374596, 0.89556604882105506], + [2.1953785836319808, 2.22243285392490542], + [0.6116915921431676, 1.50592546727413201]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_standard_gamma(self): + rng = random.RandomState(self.seed) + actual = rng.standard_gamma(shape=3, size=(3, 2)) + desired = np.array([[5.50841531318455058, 6.62953470301903103], + [5.93988484943779227, 2.31044849402133989], + [7.54838614231317084, 8.012756093271868]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_standard_gamma_0(self): + assert_equal(random.standard_gamma(shape=0), 0) + assert_raises(ValueError, random.standard_gamma, shape=-0.) + + def test_standard_normal(self): + rng = random.RandomState(self.seed) + actual = rng.standard_normal(size=(3, 2)) + desired = np.array([[1.34016345771863121, 1.73759122771936081], + [1.498988344300628, -0.2286433324536169], + [2.031033998682787, 2.17032494605655257]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_randn_singleton(self): + rng = random.RandomState(self.seed) + actual = rng.randn() + desired = np.array(1.34016345771863121) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_standard_t(self): + rng = random.RandomState(self.seed) + actual = rng.standard_t(df=10, size=(3, 2)) + desired = np.array([[0.97140611862659965, -0.08830486548450577], + [1.36311143689505321, -0.55317463909867071], + [-0.18473749069684214, 0.61181537341755321]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_triangular(self): + rng = random.RandomState(self.seed) + actual = rng.triangular(left=5.12, mode=10.23, right=20.34, + size=(3, 2)) + desired = np.array([[12.68117178949215784, 12.4129206149193152], + [16.20131377335158263, 16.25692138747600524], + [11.20400690911820263, 14.4978144835829923]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_uniform(self): + rng = random.RandomState(self.seed) + actual = rng.uniform(low=1.23, high=10.54, size=(3, 2)) + desired = np.array([[6.99097932346268003, 6.73801597444323974], + [9.50364421400426274, 9.53130618907631089], + [5.48995325769805476, 8.47493103280052118]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_uniform_range_bounds(self): + fmin = np.finfo('float').min + fmax = np.finfo('float').max + + func = random.uniform + assert_raises(OverflowError, func, -np.inf, 0) + assert_raises(OverflowError, func, 0, np.inf) + assert_raises(OverflowError, func, fmin, fmax) + assert_raises(OverflowError, func, [-np.inf], [0]) + assert_raises(OverflowError, func, [0], [np.inf]) + + # (fmax / 1e17) - fmin is within range, so this should not throw + # account for i386 extended precision DBL_MAX / 1e17 + DBL_MAX > + # DBL_MAX by increasing fmin a bit + random.uniform(low=np.nextafter(fmin, 1), high=fmax / 1e17) + + def test_scalar_exception_propagation(self): + # Tests that exceptions are correctly propagated in distributions + # when called with objects that throw exceptions when converted to + # scalars. + # + # Regression test for gh: 8865 + + class ThrowingFloat(np.ndarray): + def __float__(self): + raise TypeError + + throwing_float = np.array(1.0).view(ThrowingFloat) + assert_raises(TypeError, random.uniform, throwing_float, + throwing_float) + + class ThrowingInteger(np.ndarray): + def __int__(self): + raise TypeError + + throwing_int = np.array(1).view(ThrowingInteger) + assert_raises(TypeError, random.hypergeometric, throwing_int, 1, 1) + + def test_vonmises(self): + rng = random.RandomState(self.seed) + actual = rng.vonmises(mu=1.23, kappa=1.54, size=(3, 2)) + desired = np.array([[2.28567572673902042, 2.89163838442285037], + [0.38198375564286025, 2.57638023113890746], + [1.19153771588353052, 1.83509849681825354]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_vonmises_small(self): + # check infinite loop, gh-4720 + random.seed(self.seed) + r = random.vonmises(mu=0., kappa=1.1e-8, size=10**6) + assert_(np.isfinite(r).all()) + + def test_vonmises_large(self): + # guard against changes in RandomState when Generator is fixed + rng = random.RandomState(self.seed) + actual = rng.vonmises(mu=0., kappa=1e7, size=3) + desired = np.array([4.634253748521111e-04, + 3.558873596114509e-04, + -2.337119622577433e-04]) + assert_array_almost_equal(actual, desired, decimal=8) + + def test_vonmises_nan(self): + random.seed(self.seed) + r = random.vonmises(mu=0., kappa=np.nan) + assert_(np.isnan(r)) + + def test_wald(self): + rng = random.RandomState(self.seed) + actual = rng.wald(mean=1.23, scale=1.54, size=(3, 2)) + desired = np.array([[3.82935265715889983, 5.13125249184285526], + [0.35045403618358717, 1.50832396872003538], + [0.24124319895843183, 0.22031101461955038]]) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_weibull(self): + rng = random.RandomState(self.seed) + actual = rng.weibull(a=1.23, size=(3, 2)) + desired = np.array([[0.97097342648766727, 0.91422896443565516], + [1.89517770034962929, 1.91414357960479564], + [0.67057783752390987, 1.39494046635066793]]) + assert_array_almost_equal(actual, desired, decimal=15) + + def test_weibull_0(self): + random.seed(self.seed) + assert_equal(random.weibull(a=0, size=12), np.zeros(12)) + assert_raises(ValueError, random.weibull, a=-0.) + + def test_zipf(self): + rng = random.RandomState(self.seed) + actual = rng.zipf(a=1.23, size=(3, 2)) + desired = np.array([[66, 29], + [1, 1], + [3, 13]]) + assert_array_equal(actual, desired) + + +class TestBroadcast: + # tests that functions that broadcast behave + # correctly when presented with non-scalar arguments + seed = 123456789 + + def test_uniform(self): + low = [0] + high = [1] + desired = np.array([0.53283302478975902, + 0.53413660089041659, + 0.50955303552646702]) + + rng = random.RandomState(self.seed) + actual = rng.uniform(low * 3, high) + assert_array_almost_equal(actual, desired, decimal=14) + + rng = random.RandomState(self.seed) + actual = rng.uniform(low, high * 3) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_normal(self): + loc = [0] + scale = [1] + bad_scale = [-1] + desired = np.array([2.2129019979039612, + 2.1283977976520019, + 1.8417114045748335]) + + rng = random.RandomState(self.seed) + actual = rng.normal(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.normal, loc * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.normal(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.normal, loc, bad_scale * 3) + + def test_beta(self): + a = [1] + b = [2] + bad_a = [-1] + bad_b = [-2] + desired = np.array([0.19843558305989056, + 0.075230336409423643, + 0.24976865978980844]) + + rng = random.RandomState(self.seed) + actual = rng.beta(a * 3, b) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.beta, bad_a * 3, b) + assert_raises(ValueError, rng.beta, a * 3, bad_b) + + rng = random.RandomState(self.seed) + actual = rng.beta(a, b * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.beta, bad_a, b * 3) + assert_raises(ValueError, rng.beta, a, bad_b * 3) + + def test_exponential(self): + scale = [1] + bad_scale = [-1] + desired = np.array([0.76106853658845242, + 0.76386282278691653, + 0.71243813125891797]) + + rng = random.RandomState(self.seed) + actual = rng.exponential(scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.exponential, bad_scale * 3) + + def test_standard_gamma(self): + shape = [1] + bad_shape = [-1] + desired = np.array([0.76106853658845242, + 0.76386282278691653, + 0.71243813125891797]) + + rng = random.RandomState(self.seed) + actual = rng.standard_gamma(shape * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.standard_gamma, bad_shape * 3) + + def test_gamma(self): + shape = [1] + scale = [2] + bad_shape = [-1] + bad_scale = [-2] + desired = np.array([1.5221370731769048, + 1.5277256455738331, + 1.4248762625178359]) + + rng = random.RandomState(self.seed) + actual = rng.gamma(shape * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.gamma, bad_shape * 3, scale) + assert_raises(ValueError, rng.gamma, shape * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.gamma(shape, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.gamma, bad_shape, scale * 3) + assert_raises(ValueError, rng.gamma, shape, bad_scale * 3) + + def test_f(self): + dfnum = [1] + dfden = [2] + bad_dfnum = [-1] + bad_dfden = [-2] + desired = np.array([0.80038951638264799, + 0.86768719635363512, + 2.7251095168386801]) + + rng = random.RandomState(self.seed) + actual = rng.f(dfnum * 3, dfden) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.f, bad_dfnum * 3, dfden) + assert_raises(ValueError, rng.f, dfnum * 3, bad_dfden) + + rng = random.RandomState(self.seed) + actual = rng.f(dfnum, dfden * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.f, bad_dfnum, dfden * 3) + assert_raises(ValueError, rng.f, dfnum, bad_dfden * 3) + + def test_noncentral_f(self): + dfnum = [2] + dfden = [3] + nonc = [4] + bad_dfnum = [0] + bad_dfden = [-1] + bad_nonc = [-2] + desired = np.array([9.1393943263705211, + 13.025456344595602, + 8.8018098359100545]) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_f(dfnum * 3, dfden, nonc) + assert_array_almost_equal(actual, desired, decimal=14) + assert np.all(np.isnan(rng.noncentral_f(dfnum, dfden, [np.nan] * 3))) + + assert_raises(ValueError, rng.noncentral_f, bad_dfnum * 3, dfden, nonc) + assert_raises(ValueError, rng.noncentral_f, dfnum * 3, bad_dfden, nonc) + assert_raises(ValueError, rng.noncentral_f, dfnum * 3, dfden, bad_nonc) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_f(dfnum, dfden * 3, nonc) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.noncentral_f, bad_dfnum, dfden * 3, nonc) + assert_raises(ValueError, rng.noncentral_f, dfnum, bad_dfden * 3, nonc) + assert_raises(ValueError, rng.noncentral_f, dfnum, dfden * 3, bad_nonc) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_f(dfnum, dfden, nonc * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.noncentral_f, bad_dfnum, dfden, nonc * 3) + assert_raises(ValueError, rng.noncentral_f, dfnum, bad_dfden, nonc * 3) + assert_raises(ValueError, rng.noncentral_f, dfnum, dfden, bad_nonc * 3) + + def test_noncentral_f_small_df(self): + rng = random.RandomState(self.seed) + desired = np.array([6.869638627492048, 0.785880199263955]) + actual = rng.noncentral_f(0.9, 0.9, 2, size=2) + assert_array_almost_equal(actual, desired, decimal=14) + + def test_chisquare(self): + df = [1] + bad_df = [-1] + desired = np.array([0.57022801133088286, + 0.51947702108840776, + 0.1320969254923558]) + + rng = random.RandomState(self.seed) + actual = rng.chisquare(df * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.chisquare, bad_df * 3) + + def test_noncentral_chisquare(self): + df = [1] + nonc = [2] + bad_df = [-1] + bad_nonc = [-2] + desired = np.array([9.0015599467913763, + 4.5804135049718742, + 6.0872302432834564]) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_chisquare(df * 3, nonc) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.noncentral_chisquare, bad_df * 3, nonc) + assert_raises(ValueError, rng.noncentral_chisquare, df * 3, bad_nonc) + + rng = random.RandomState(self.seed) + actual = rng.noncentral_chisquare(df, nonc * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.noncentral_chisquare, bad_df, nonc * 3) + assert_raises(ValueError, rng.noncentral_chisquare, df, bad_nonc * 3) + + def test_standard_t(self): + df = [1] + bad_df = [-1] + desired = np.array([3.0702872575217643, + 5.8560725167361607, + 1.0274791436474273]) + + rng = random.RandomState(self.seed) + actual = rng.standard_t(df * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.standard_t, bad_df * 3) + assert_raises(ValueError, random.standard_t, bad_df * 3) + + def test_vonmises(self): + mu = [2] + kappa = [1] + bad_kappa = [-1] + desired = np.array([2.9883443664201312, + -2.7064099483995943, + -1.8672476700665914]) + + rng = random.RandomState(self.seed) + actual = rng.vonmises(mu * 3, kappa) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.vonmises, mu * 3, bad_kappa) + + rng = random.RandomState(self.seed) + actual = rng.vonmises(mu, kappa * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.vonmises, mu, bad_kappa * 3) + + def test_pareto(self): + a = [1] + bad_a = [-1] + desired = np.array([1.1405622680198362, + 1.1465519762044529, + 1.0389564467453547]) + + rng = random.RandomState(self.seed) + actual = rng.pareto(a * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.pareto, bad_a * 3) + assert_raises(ValueError, random.pareto, bad_a * 3) + + def test_weibull(self): + a = [1] + bad_a = [-1] + desired = np.array([0.76106853658845242, + 0.76386282278691653, + 0.71243813125891797]) + + rng = random.RandomState(self.seed) + actual = rng.weibull(a * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.weibull, bad_a * 3) + assert_raises(ValueError, random.weibull, bad_a * 3) + + def test_power(self): + a = [1] + bad_a = [-1] + desired = np.array([0.53283302478975902, + 0.53413660089041659, + 0.50955303552646702]) + + rng = random.RandomState(self.seed) + actual = rng.power(a * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.power, bad_a * 3) + assert_raises(ValueError, random.power, bad_a * 3) + + def test_laplace(self): + loc = [0] + scale = [1] + bad_scale = [-1] + desired = np.array([0.067921356028507157, + 0.070715642226971326, + 0.019290950698972624]) + + rng = random.RandomState(self.seed) + actual = rng.laplace(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.laplace, loc * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.laplace(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.laplace, loc, bad_scale * 3) + + def test_gumbel(self): + loc = [0] + scale = [1] + bad_scale = [-1] + desired = np.array([0.2730318639556768, + 0.26936705726291116, + 0.33906220393037939]) + + rng = random.RandomState(self.seed) + actual = rng.gumbel(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.gumbel, loc * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.gumbel(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.gumbel, loc, bad_scale * 3) + + def test_logistic(self): + loc = [0] + scale = [1] + bad_scale = [-1] + desired = np.array([0.13152135837586171, + 0.13675915696285773, + 0.038216792802833396]) + + rng = random.RandomState(self.seed) + actual = rng.logistic(loc * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.logistic, loc * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.logistic(loc, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.logistic, loc, bad_scale * 3) + assert_equal(rng.logistic(1.0, 0.0), 1.0) + + def test_lognormal(self): + mean = [0] + sigma = [1] + bad_sigma = [-1] + desired = np.array([9.1422086044848427, + 8.4013952870126261, + 6.3073234116578671]) + + rng = random.RandomState(self.seed) + actual = rng.lognormal(mean * 3, sigma) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.lognormal, mean * 3, bad_sigma) + assert_raises(ValueError, random.lognormal, mean * 3, bad_sigma) + + rng = random.RandomState(self.seed) + actual = rng.lognormal(mean, sigma * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.lognormal, mean, bad_sigma * 3) + assert_raises(ValueError, random.lognormal, mean, bad_sigma * 3) + + def test_rayleigh(self): + scale = [1] + bad_scale = [-1] + desired = np.array([1.2337491937897689, + 1.2360119924878694, + 1.1936818095781789]) + + rng = random.RandomState(self.seed) + actual = rng.rayleigh(scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.rayleigh, bad_scale * 3) + + def test_wald(self): + mean = [0.5] + scale = [1] + bad_mean = [0] + bad_scale = [-2] + desired = np.array([0.11873681120271318, + 0.12450084820795027, + 0.9096122728408238]) + + rng = random.RandomState(self.seed) + actual = rng.wald(mean * 3, scale) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.wald, bad_mean * 3, scale) + assert_raises(ValueError, rng.wald, mean * 3, bad_scale) + assert_raises(ValueError, random.wald, bad_mean * 3, scale) + assert_raises(ValueError, random.wald, mean * 3, bad_scale) + + rng = random.RandomState(self.seed) + actual = rng.wald(mean, scale * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.wald, bad_mean, scale * 3) + assert_raises(ValueError, rng.wald, mean, bad_scale * 3) + assert_raises(ValueError, rng.wald, 0.0, 1) + assert_raises(ValueError, rng.wald, 0.5, 0.0) + + def test_triangular(self): + left = [1] + right = [3] + mode = [2] + bad_left_one = [3] + bad_mode_one = [4] + bad_left_two, bad_mode_two = right * 2 + desired = np.array([2.03339048710429, + 2.0347400359389356, + 2.0095991069536208]) + + rng = random.RandomState(self.seed) + actual = rng.triangular(left * 3, mode, right) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.triangular, bad_left_one * 3, mode, right) + assert_raises(ValueError, rng.triangular, left * 3, bad_mode_one, right) + assert_raises(ValueError, rng.triangular, bad_left_two * 3, bad_mode_two, + right) + + rng = random.RandomState(self.seed) + actual = rng.triangular(left, mode * 3, right) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.triangular, bad_left_one, mode * 3, right) + assert_raises(ValueError, rng.triangular, left, bad_mode_one * 3, right) + assert_raises(ValueError, rng.triangular, bad_left_two, bad_mode_two * 3, + right) + + rng = random.RandomState(self.seed) + actual = rng.triangular(left, mode, right * 3) + assert_array_almost_equal(actual, desired, decimal=14) + assert_raises(ValueError, rng.triangular, bad_left_one, mode, right * 3) + assert_raises(ValueError, rng.triangular, left, bad_mode_one, right * 3) + assert_raises(ValueError, rng.triangular, bad_left_two, bad_mode_two, + right * 3) + + assert_raises(ValueError, rng.triangular, 10., 0., 20.) + assert_raises(ValueError, rng.triangular, 10., 25., 20.) + assert_raises(ValueError, rng.triangular, 10., 10., 10.) + + def test_binomial(self): + n = [1] + p = [0.5] + bad_n = [-1] + bad_p_one = [-1] + bad_p_two = [1.5] + desired = np.array([1, 1, 1]) + + rng = random.RandomState(self.seed) + actual = rng.binomial(n * 3, p) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.binomial, bad_n * 3, p) + assert_raises(ValueError, rng.binomial, n * 3, bad_p_one) + assert_raises(ValueError, rng.binomial, n * 3, bad_p_two) + + rng = random.RandomState(self.seed) + actual = rng.binomial(n, p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.binomial, bad_n, p * 3) + assert_raises(ValueError, rng.binomial, n, bad_p_one * 3) + assert_raises(ValueError, rng.binomial, n, bad_p_two * 3) + + def test_negative_binomial(self): + n = [1] + p = [0.5] + bad_n = [-1] + bad_p_one = [-1] + bad_p_two = [1.5] + desired = np.array([1, 0, 1]) + + rng = random.RandomState(self.seed) + actual = rng.negative_binomial(n * 3, p) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.negative_binomial, bad_n * 3, p) + assert_raises(ValueError, rng.negative_binomial, n * 3, bad_p_one) + assert_raises(ValueError, rng.negative_binomial, n * 3, bad_p_two) + + rng = random.RandomState(self.seed) + actual = rng.negative_binomial(n, p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.negative_binomial, bad_n, p * 3) + assert_raises(ValueError, rng.negative_binomial, n, bad_p_one * 3) + assert_raises(ValueError, rng.negative_binomial, n, bad_p_two * 3) + + def test_poisson(self): + max_lam = random.RandomState()._poisson_lam_max + + lam = [1] + bad_lam_one = [-1] + bad_lam_two = [max_lam * 2] + desired = np.array([1, 1, 0]) + + rng = random.RandomState(self.seed) + actual = rng.poisson(lam * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.poisson, bad_lam_one * 3) + assert_raises(ValueError, rng.poisson, bad_lam_two * 3) + + def test_zipf(self): + a = [2] + bad_a = [0] + desired = np.array([2, 2, 1]) + + rng = random.RandomState(self.seed) + actual = rng.zipf(a * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.zipf, bad_a * 3) + with np.errstate(invalid='ignore'): + assert_raises(ValueError, rng.zipf, np.nan) + assert_raises(ValueError, rng.zipf, [0, 0, np.nan]) + + def test_geometric(self): + p = [0.5] + bad_p_one = [-1] + bad_p_two = [1.5] + desired = np.array([2, 2, 2]) + + rng = random.RandomState(self.seed) + actual = rng.geometric(p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.geometric, bad_p_one * 3) + assert_raises(ValueError, rng.geometric, bad_p_two * 3) + + def test_hypergeometric(self): + ngood = [1] + nbad = [2] + nsample = [2] + bad_ngood = [-1] + bad_nbad = [-2] + bad_nsample_one = [0] + bad_nsample_two = [4] + desired = np.array([1, 1, 1]) + + rng = random.RandomState(self.seed) + actual = rng.hypergeometric(ngood * 3, nbad, nsample) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.hypergeometric, bad_ngood * 3, nbad, nsample) + assert_raises(ValueError, rng.hypergeometric, ngood * 3, bad_nbad, nsample) + assert_raises(ValueError, rng.hypergeometric, ngood * 3, nbad, bad_nsample_one) + assert_raises(ValueError, rng.hypergeometric, ngood * 3, nbad, bad_nsample_two) + + rng = random.RandomState(self.seed) + actual = rng.hypergeometric(ngood, nbad * 3, nsample) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.hypergeometric, bad_ngood, nbad * 3, nsample) + assert_raises(ValueError, rng.hypergeometric, ngood, bad_nbad * 3, nsample) + assert_raises(ValueError, rng.hypergeometric, ngood, nbad * 3, bad_nsample_one) + assert_raises(ValueError, rng.hypergeometric, ngood, nbad * 3, bad_nsample_two) + + rng = random.RandomState(self.seed) + actual = rng.hypergeometric(ngood, nbad, nsample * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.hypergeometric, bad_ngood, nbad, nsample * 3) + assert_raises(ValueError, rng.hypergeometric, ngood, bad_nbad, nsample * 3) + assert_raises(ValueError, rng.hypergeometric, ngood, nbad, bad_nsample_one * 3) + assert_raises(ValueError, rng.hypergeometric, ngood, nbad, bad_nsample_two * 3) + + assert_raises(ValueError, rng.hypergeometric, -1, 10, 20) + assert_raises(ValueError, rng.hypergeometric, 10, -1, 20) + assert_raises(ValueError, rng.hypergeometric, 10, 10, 0) + assert_raises(ValueError, rng.hypergeometric, 10, 10, 25) + + def test_logseries(self): + p = [0.5] + bad_p_one = [2] + bad_p_two = [-1] + desired = np.array([1, 1, 1]) + + rng = random.RandomState(self.seed) + actual = rng.logseries(p * 3) + assert_array_equal(actual, desired) + assert_raises(ValueError, rng.logseries, bad_p_one * 3) + assert_raises(ValueError, rng.logseries, bad_p_two * 3) + + +@pytest.mark.skipif(IS_WASM, reason="can't start thread") +class TestThread: + # make sure each state produces the same sequence even in threads + seeds = range(4) + + def check_function(self, function, sz): + from threading import Thread + + out1 = np.empty((len(self.seeds),) + sz) + out2 = np.empty((len(self.seeds),) + sz) + + # threaded generation + t = [Thread(target=function, args=(random.RandomState(s), o)) + for s, o in zip(self.seeds, out1)] + [x.start() for x in t] + [x.join() for x in t] + + # the same serial + for s, o in zip(self.seeds, out2): + function(random.RandomState(s), o) + + # these platforms change x87 fpu precision mode in threads + if np.intp().dtype.itemsize == 4 and sys.platform == "win32": + assert_array_almost_equal(out1, out2) + else: + assert_array_equal(out1, out2) + + def test_normal(self): + def gen_random(state, out): + out[...] = state.normal(size=10000) + + self.check_function(gen_random, sz=(10000,)) + + def test_exp(self): + def gen_random(state, out): + out[...] = state.exponential(scale=np.ones((100, 1000))) + + self.check_function(gen_random, sz=(100, 1000)) + + def test_multinomial(self): + def gen_random(state, out): + out[...] = state.multinomial(10, [1 / 6.] * 6, size=10000) + + self.check_function(gen_random, sz=(10000, 6)) + + +# See Issue #4263 +class TestSingleEltArrayInput: + def _create_arrays(self): + return np.array([2]), np.array([3]), np.array([4]), (1,) + + def test_one_arg_funcs(self): + argOne, _, _, tgtShape = self._create_arrays() + funcs = (random.exponential, random.standard_gamma, + random.chisquare, random.standard_t, + random.pareto, random.weibull, + random.power, random.rayleigh, + random.poisson, random.zipf, + random.geometric, random.logseries) + + probfuncs = (random.geometric, random.logseries) + + for func in funcs: + if func in probfuncs: # p < 1.0 + out = func(np.array([0.5])) + + else: + out = func(argOne) + + assert_equal(out.shape, tgtShape) + + def test_two_arg_funcs(self): + argOne, argTwo, _, tgtShape = self._create_arrays() + funcs = (random.uniform, random.normal, + random.beta, random.gamma, + random.f, random.noncentral_chisquare, + random.vonmises, random.laplace, + random.gumbel, random.logistic, + random.lognormal, random.wald, + random.binomial, random.negative_binomial) + + probfuncs = (random.binomial, random.negative_binomial) + + for func in funcs: + if func in probfuncs: # p <= 1 + argTwo = np.array([0.5]) + + else: + argTwo = argTwo + + out = func(argOne, argTwo) + assert_equal(out.shape, tgtShape) + + out = func(argOne[0], argTwo) + assert_equal(out.shape, tgtShape) + + out = func(argOne, argTwo[0]) + assert_equal(out.shape, tgtShape) + + def test_three_arg_funcs(self): + argOne, argTwo, argThree, tgtShape = self._create_arrays() + funcs = [random.noncentral_f, random.triangular, + random.hypergeometric] + + for func in funcs: + out = func(argOne, argTwo, argThree) + assert_equal(out.shape, tgtShape) + + out = func(argOne[0], argTwo, argThree) + assert_equal(out.shape, tgtShape) + + out = func(argOne, argTwo[0], argThree) + assert_equal(out.shape, tgtShape) + + +# Ensure returned array dtype is correct for platform +def test_integer_dtype(int_func): + random.seed(123456789) + fname, args, sha256 = int_func + f = getattr(random, fname) + actual = f(*args, size=2) + assert_(actual.dtype == np.dtype('l')) + + +def test_integer_repeat(int_func): + rng = random.RandomState(123456789) + fname, args, sha256 = int_func + f = getattr(rng, fname) + val = f(*args, size=1000000) + if sys.byteorder != 'little': + val = val.byteswap() + res = hashlib.sha256(val.view(np.int8)).hexdigest() + assert_(res == sha256) + + +def test_broadcast_size_error(): + # GH-16833 + with pytest.raises(ValueError): + random.binomial(1, [0.3, 0.7], size=(2, 1)) + with pytest.raises(ValueError): + random.binomial([1, 2], 0.3, size=(2, 1)) + with pytest.raises(ValueError): + random.binomial([1, 2], [0.3, 0.7], size=(2, 1)) + + +def test_randomstate_ctor_old_style_pickle(): + rs = np.random.RandomState(MT19937(0)) + rs.standard_normal(1) + # Directly call reduce which is used in pickling + ctor, args, state_a = rs.__reduce__() + # Simulate unpickling an old pickle that only has the name + assert args[0].__class__.__name__ == "MT19937" + b = ctor(*("MT19937",)) + b.set_state(state_a) + state_b = b.get_state(legacy=False) + + assert_equal(state_a['bit_generator'], state_b['bit_generator']) + assert_array_equal(state_a['state']['key'], state_b['state']['key']) + assert_array_equal(state_a['state']['pos'], state_b['state']['pos']) + assert_equal(state_a['has_gauss'], state_b['has_gauss']) + assert_equal(state_a['gauss'], state_b['gauss']) + + +@pytest.mark.thread_unsafe(reason="np.random.set_bit_generator affects global state") +def test_hot_swap(restore_singleton_bitgen): + # GH 21808 + def_bg = np.random.default_rng(0) + bg = def_bg.bit_generator + np.random.set_bit_generator(bg) + assert isinstance(np.random.mtrand._rand._bit_generator, type(bg)) + + second_bg = np.random.get_bit_generator() + assert bg is second_bg + + +@pytest.mark.thread_unsafe(reason="np.random.set_bit_generator affects global state") +def test_seed_alt_bit_gen(restore_singleton_bitgen): + # GH 21808 + bg = PCG64(0) + np.random.set_bit_generator(bg) + state = np.random.get_state(legacy=False) + np.random.seed(1) + new_state = np.random.get_state(legacy=False) + print(state) + print(new_state) + assert state["bit_generator"] == "PCG64" + assert state["state"]["state"] != new_state["state"]["state"] + assert state["state"]["inc"] != new_state["state"]["inc"] + + +@pytest.mark.thread_unsafe(reason="np.random.set_bit_generator affects global state") +def test_state_error_alt_bit_gen(restore_singleton_bitgen): + # GH 21808 + state = np.random.get_state() + bg = PCG64(0) + np.random.set_bit_generator(bg) + with pytest.raises(ValueError, match="state must be for a PCG64"): + np.random.set_state(state) + + +@pytest.mark.thread_unsafe(reason="np.random.set_bit_generator affects global state") +def test_swap_worked(restore_singleton_bitgen): + # GH 21808 + np.random.seed(98765) + vals = np.random.randint(0, 2 ** 30, 10) + bg = PCG64(0) + state = bg.state + np.random.set_bit_generator(bg) + state_direct = np.random.get_state(legacy=False) + for field in state: + assert state[field] == state_direct[field] + np.random.seed(98765) + pcg_vals = np.random.randint(0, 2 ** 30, 10) + assert not np.all(vals == pcg_vals) + new_state = bg.state + assert new_state["state"]["state"] != state["state"]["state"] + assert new_state["state"]["inc"] == new_state["state"]["inc"] + + +@pytest.mark.thread_unsafe(reason="np.random.set_bit_generator affects global state") +def test_swapped_singleton_against_direct(restore_singleton_bitgen): + np.random.set_bit_generator(PCG64(98765)) + singleton_vals = np.random.randint(0, 2 ** 30, 10) + rg = np.random.RandomState(PCG64(98765)) + non_singleton_vals = rg.randint(0, 2 ** 30, 10) + assert_equal(non_singleton_vals, singleton_vals) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_randomstate_regression.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_randomstate_regression.py new file mode 100644 index 0000000000000000000000000000000000000000..1c8882d1b67268dfe00bd56c302f96c68d78b192 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_randomstate_regression.py @@ -0,0 +1,213 @@ +import sys + +import pytest + +import numpy as np +from numpy import random +from numpy.testing import assert_, assert_array_equal, assert_raises + + +class TestRegression: + + def test_VonMises_range(self): + # Make sure generated random variables are in [-pi, pi]. + # Regression test for ticket #986. + for mu in np.linspace(-7., 7., 5): + r = random.vonmises(mu, 1, 50) + assert_(np.all(r > -np.pi) and np.all(r <= np.pi)) + + def test_hypergeometric_range(self): + # Test for ticket #921 + assert_(np.all(random.hypergeometric(3, 18, 11, size=10) < 4)) + assert_(np.all(random.hypergeometric(18, 3, 11, size=10) > 0)) + + # Test for ticket #5623 + args = [ + (2**20 - 2, 2**20 - 2, 2**20 - 2), # Check for 32-bit systems + ] + is_64bits = sys.maxsize > 2**32 + if is_64bits and sys.platform != 'win32': + # Check for 64-bit systems + args.append((2**40 - 2, 2**40 - 2, 2**40 - 2)) + for arg in args: + assert_(random.hypergeometric(*arg) > 0) + + def test_logseries_convergence(self): + # Test for ticket #923 + N = 1000 + random.seed(0) + rvsn = random.logseries(0.8, size=N) + # these two frequency counts should be close to theoretical + # numbers with this large sample + # theoretical large N result is 0.49706795 + freq = np.sum(rvsn == 1) / N + msg = f'Frequency was {freq:f}, should be > 0.45' + assert_(freq > 0.45, msg) + # theoretical large N result is 0.19882718 + freq = np.sum(rvsn == 2) / N + msg = f'Frequency was {freq:f}, should be < 0.23' + assert_(freq < 0.23, msg) + + def test_shuffle_mixed_dimension(self): + # Test for trac ticket #2074 + for t in [[1, 2, 3, None], + [(1, 1), (2, 2), (3, 3), None], + [1, (2, 2), (3, 3), None], + [(1, 1), 2, 3, None]]: + rng = random.RandomState(12345) + shuffled = list(t) + rng.shuffle(shuffled) + expected = np.array([t[0], t[3], t[1], t[2]], dtype=object) + assert_array_equal(np.array(shuffled, dtype=object), expected) + + def test_call_within_randomstate(self): + # Check that custom RandomState does not call into global state + m = random.RandomState() + res = np.array([0, 8, 7, 2, 1, 9, 4, 7, 0, 3]) + for i in range(3): + random.seed(i) + m.seed(4321) + # If m.state is not honored, the result will change + assert_array_equal(m.choice(10, size=10, p=np.ones(10) / 10.), res) + + def test_multivariate_normal_size_types(self): + # Test for multivariate_normal issue with 'size' argument. + # Check that the multivariate_normal size argument can be a + # numpy integer. + random.multivariate_normal([0], [[0]], size=1) + random.multivariate_normal([0], [[0]], size=np.int_(1)) + random.multivariate_normal([0], [[0]], size=np.int64(1)) + + def test_beta_small_parameters(self): + # Test that beta with small a and b parameters does not produce + # NaNs due to roundoff errors causing 0 / 0, gh-5851 + random.seed(1234567890) + x = random.beta(0.0001, 0.0001, size=100) + assert_(not np.any(np.isnan(x)), 'Nans in random.beta') + + def test_choice_sum_of_probs_tolerance(self): + # The sum of probs should be 1.0 with some tolerance. + # For low precision dtypes the tolerance was too tight. + # See numpy github issue 6123. + random.seed(1234) + a = [1, 2, 3] + counts = [4, 4, 2] + for dt in np.float16, np.float32, np.float64: + probs = np.array(counts, dtype=dt) / sum(counts) + c = random.choice(a, p=probs) + assert_(c in a) + assert_raises(ValueError, random.choice, a, p=probs * 0.9) + + def test_shuffle_of_array_of_different_length_strings(self): + # Test that permuting an array of different length strings + # will not cause a segfault on garbage collection + # Tests gh-7710 + random.seed(1234) + + a = np.array(['a', 'a' * 1000]) + + for _ in range(100): + random.shuffle(a) + + # Force Garbage Collection - should not segfault. + import gc + gc.collect() + + def test_shuffle_of_array_of_objects(self): + # Test that permuting an array of objects will not cause + # a segfault on garbage collection. + # See gh-7719 + random.seed(1234) + a = np.array([np.arange(1), np.arange(4)], dtype=object) + + for _ in range(1000): + random.shuffle(a) + + # Force Garbage Collection - should not segfault. + import gc + gc.collect() + + def test_permutation_subclass(self): + class N(np.ndarray): + pass + + rng = random.RandomState(1) + orig = np.arange(3).view(N) + perm = rng.permutation(orig) + assert_array_equal(perm, np.array([0, 2, 1])) + assert_array_equal(orig, np.arange(3).view(N)) + + class M: + a = np.arange(5) + + def __array__(self, dtype=None, copy=None): + return self.a + + rng = random.RandomState(1) + m = M() + perm = rng.permutation(m) + assert_array_equal(perm, np.array([2, 1, 4, 0, 3])) + assert_array_equal(m.__array__(), np.arange(5)) + + def test_warns_byteorder(self): + # GH 13159 + other_byteord_dt = 'i4' + with pytest.deprecated_call(match='non-native byteorder is not'): + random.randint(0, 200, size=10, dtype=other_byteord_dt) + + def test_named_argument_initialization(self): + # GH 13669 + rs1 = np.random.RandomState(123456789) + rs2 = np.random.RandomState(seed=123456789) + assert rs1.randint(0, 100) == rs2.randint(0, 100) + + def test_choice_retun_dtype(self): + # GH 9867, now long since the NumPy default changed. + c = np.random.choice(10, p=[.1] * 10, size=2) + assert c.dtype == np.dtype(np.long) + c = np.random.choice(10, p=[.1] * 10, replace=False, size=2) + assert c.dtype == np.dtype(np.long) + c = np.random.choice(10, size=2) + assert c.dtype == np.dtype(np.long) + c = np.random.choice(10, replace=False, size=2) + assert c.dtype == np.dtype(np.long) + + @pytest.mark.skipif(np.iinfo('l').max < 2**32, + reason='Cannot test with 32-bit C long') + def test_randint_117(self): + # GH 14189 + rng = random.RandomState(0) + expected = np.array([2357136044, 2546248239, 3071714933, 3626093760, + 2588848963, 3684848379, 2340255427, 3638918503, + 1819583497, 2678185683], dtype='int64') + actual = rng.randint(2**32, size=10) + assert_array_equal(actual, expected) + + def test_p_zero_stream(self): + # Regression test for gh-14522. Ensure that future versions + # generate the same variates as version 1.16. + rng = random.RandomState(12345) + assert_array_equal(rng.binomial(1, [0, 0.25, 0.5, 0.75, 1]), + [0, 0, 0, 1, 1]) + + def test_n_zero_stream(self): + # Regression test for gh-14522. Ensure that future versions + # generate the same variates as version 1.16. + rng = random.RandomState(8675309) + expected = np.array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [3, 4, 2, 3, 3, 1, 5, 3, 1, 3]]) + assert_array_equal(rng.binomial([[0], [10]], 0.25, size=(2, 10)), + expected) + + +def test_multinomial_empty(): + # gh-20483 + # Ensure that empty p-vals are correctly handled + assert random.multinomial(10, []).shape == (0,) + assert random.multinomial(3, [], size=(7, 5, 3)).shape == (7, 5, 3, 0) + + +def test_multinomial_1d_pval(): + # gh-20483 + with pytest.raises(TypeError, match="pvals must be a 1-d"): + random.multinomial(10, 0.3) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_regression.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_regression.py new file mode 100644 index 0000000000000000000000000000000000000000..eeaf6d2b4bd373098e7c0ccda735e208447e01e4 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_regression.py @@ -0,0 +1,175 @@ +import inspect +import sys + +import pytest + +import numpy as np +from numpy import random +from numpy.testing import IS_PYPY, assert_, assert_array_equal, assert_raises + + +class TestRegression: + + def test_VonMises_range(self): + # Make sure generated random variables are in [-pi, pi]. + # Regression test for ticket #986. + for mu in np.linspace(-7., 7., 5): + r = random.mtrand.vonmises(mu, 1, 50) + assert_(np.all(r > -np.pi) and np.all(r <= np.pi)) + + def test_hypergeometric_range(self): + # Test for ticket #921 + assert_(np.all(np.random.hypergeometric(3, 18, 11, size=10) < 4)) + assert_(np.all(np.random.hypergeometric(18, 3, 11, size=10) > 0)) + + # Test for ticket #5623 + args = [ + (2**20 - 2, 2**20 - 2, 2**20 - 2), # Check for 32-bit systems + ] + is_64bits = sys.maxsize > 2**32 + if is_64bits and sys.platform != 'win32': + # Check for 64-bit systems + args.append((2**40 - 2, 2**40 - 2, 2**40 - 2)) + for arg in args: + assert_(np.random.hypergeometric(*arg) > 0) + + def test_logseries_convergence(self): + # Test for ticket #923 + N = 1000 + np.random.seed(0) + rvsn = np.random.logseries(0.8, size=N) + # these two frequency counts should be close to theoretical + # numbers with this large sample + # theoretical large N result is 0.49706795 + freq = np.sum(rvsn == 1) / N + msg = f'Frequency was {freq:f}, should be > 0.45' + assert_(freq > 0.45, msg) + # theoretical large N result is 0.19882718 + freq = np.sum(rvsn == 2) / N + msg = f'Frequency was {freq:f}, should be < 0.23' + assert_(freq < 0.23, msg) + + def test_shuffle_mixed_dimension(self): + # Test for trac ticket #2074 + for t in [[1, 2, 3, None], + [(1, 1), (2, 2), (3, 3), None], + [1, (2, 2), (3, 3), None], + [(1, 1), 2, 3, None]]: + rng = np.random.RandomState(12345) + shuffled = list(t) + rng.shuffle(shuffled) + expected = np.array([t[0], t[3], t[1], t[2]], dtype=object) + assert_array_equal(np.array(shuffled, dtype=object), expected) + + def test_call_within_randomstate(self): + # Check that custom RandomState does not call into global state + m = np.random.RandomState() + res = np.array([0, 8, 7, 2, 1, 9, 4, 7, 0, 3]) + for i in range(3): + np.random.seed(i) + m.seed(4321) + # If m.state is not honored, the result will change + assert_array_equal(m.choice(10, size=10, p=np.ones(10) / 10.), res) + + def test_multivariate_normal_size_types(self): + # Test for multivariate_normal issue with 'size' argument. + # Check that the multivariate_normal size argument can be a + # numpy integer. + np.random.multivariate_normal([0], [[0]], size=1) + np.random.multivariate_normal([0], [[0]], size=np.int_(1)) + np.random.multivariate_normal([0], [[0]], size=np.int64(1)) + + def test_beta_small_parameters(self): + # Test that beta with small a and b parameters does not produce + # NaNs due to roundoff errors causing 0 / 0, gh-5851 + np.random.seed(1234567890) + x = np.random.beta(0.0001, 0.0001, size=100) + assert_(not np.any(np.isnan(x)), 'Nans in np.random.beta') + + def test_choice_sum_of_probs_tolerance(self): + # The sum of probs should be 1.0 with some tolerance. + # For low precision dtypes the tolerance was too tight. + # See numpy github issue 6123. + np.random.seed(1234) + a = [1, 2, 3] + counts = [4, 4, 2] + for dt in np.float16, np.float32, np.float64: + probs = np.array(counts, dtype=dt) / sum(counts) + c = np.random.choice(a, p=probs) + assert_(c in a) + assert_raises(ValueError, np.random.choice, a, p=probs * 0.9) + + def test_shuffle_of_array_of_different_length_strings(self): + # Test that permuting an array of different length strings + # will not cause a segfault on garbage collection + # Tests gh-7710 + np.random.seed(1234) + + a = np.array(['a', 'a' * 1000]) + + for _ in range(100): + np.random.shuffle(a) + + # Force Garbage Collection - should not segfault. + import gc + gc.collect() + + def test_shuffle_of_array_of_objects(self): + # Test that permuting an array of objects will not cause + # a segfault on garbage collection. + # See gh-7719 + np.random.seed(1234) + a = np.array([np.arange(1), np.arange(4)], dtype=object) + + for _ in range(1000): + np.random.shuffle(a) + + # Force Garbage Collection - should not segfault. + import gc + gc.collect() + + def test_permutation_subclass(self): + class N(np.ndarray): + pass + + rng = np.random.RandomState(1) + orig = np.arange(3).view(N) + perm = rng.permutation(orig) + assert_array_equal(perm, np.array([0, 2, 1])) + assert_array_equal(orig, np.arange(3).view(N)) + + class M: + a = np.arange(5) + + def __array__(self, dtype=None, copy=None): + return self.a + + rng = np.random.RandomState(1) + m = M() + perm = rng.permutation(m) + assert_array_equal(perm, np.array([2, 1, 4, 0, 3])) + assert_array_equal(m.__array__(), np.arange(5)) + + @pytest.mark.skipif(sys.flags.optimize == 2, reason="Python running -OO") + @pytest.mark.skipif(IS_PYPY, reason="PyPy does not modify tp_doc") + @pytest.mark.parametrize( + "cls", + [ + random.Generator, + random.MT19937, + random.PCG64, + random.PCG64DXSM, + random.Philox, + random.RandomState, + random.SFC64, + random.BitGenerator, + random.SeedSequence, + random.bit_generator.SeedlessSeedSequence, + ], + ) + def test_inspect_signature(self, cls: type) -> None: + assert hasattr(cls, "__text_signature__") + try: + inspect.signature(cls) + except ValueError: + pytest.fail(f"invalid signature: {cls.__module__}.{cls.__qualname__}") diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_seed_sequence.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_seed_sequence.py new file mode 100644 index 0000000000000000000000000000000000000000..87ae4ff721395de5c8b8fcad52f566cff540dc56 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_seed_sequence.py @@ -0,0 +1,79 @@ +import numpy as np +from numpy.random import SeedSequence +from numpy.testing import assert_array_compare, assert_array_equal + + +def test_reference_data(): + """ Check that SeedSequence generates data the same as the C++ reference. + + https://gist.github.com/imneme/540829265469e673d045 + """ + inputs = [ + [3735928559, 195939070, 229505742, 305419896], + [3668361503, 4165561550, 1661411377, 3634257570], + [164546577, 4166754639, 1765190214, 1303880213], + [446610472, 3941463886, 522937693, 1882353782], + [1864922766, 1719732118, 3882010307, 1776744564], + [4141682960, 3310988675, 553637289, 902896340], + [1134851934, 2352871630, 3699409824, 2648159817], + [1240956131, 3107113773, 1283198141, 1924506131], + [2669565031, 579818610, 3042504477, 2774880435], + [2766103236, 2883057919, 4029656435, 862374500], + ] + outputs = [ + [3914649087, 576849849, 3593928901, 2229911004], + [2240804226, 3691353228, 1365957195, 2654016646], + [3562296087, 3191708229, 1147942216, 3726991905], + [1403443605, 3591372999, 1291086759, 441919183], + [1086200464, 2191331643, 560336446, 3658716651], + [3249937430, 2346751812, 847844327, 2996632307], + [2584285912, 4034195531, 3523502488, 169742686], + [959045797, 3875435559, 1886309314, 359682705], + [3978441347, 432478529, 3223635119, 138903045], + [296367413, 4262059219, 13109864, 3283683422], + ] + outputs64 = [ + [2477551240072187391, 9577394838764454085], + [15854241394484835714, 11398914698975566411], + [13708282465491374871, 16007308345579681096], + [15424829579845884309, 1898028439751125927], + [9411697742461147792, 15714068361935982142], + [10079222287618677782, 12870437757549876199], + [17326737873898640088, 729039288628699544], + [16644868984619524261, 1544825456798124994], + [1857481142255628931, 596584038813451439], + [18305404959516669237, 14103312907920476776], + ] + for seed, expected, expected64 in zip(inputs, outputs, outputs64): + expected = np.array(expected, dtype=np.uint32) + ss = SeedSequence(seed) + state = ss.generate_state(len(expected)) + assert_array_equal(state, expected) + state64 = ss.generate_state(len(expected64), dtype=np.uint64) + assert_array_equal(state64, expected64) + + +def test_zero_padding(): + """ Ensure that the implicit zero-padding does not cause problems. + """ + # Ensure that large integers are inserted in little-endian fashion to avoid + # trailing 0s. + ss0 = SeedSequence(42) + ss1 = SeedSequence(42 << 32) + assert_array_compare( + np.not_equal, + ss0.generate_state(4), + ss1.generate_state(4)) + + # Ensure backwards compatibility with the original 0.17 release for small + # integers and no spawn key. + expected42 = np.array([3444837047, 2669555309, 2046530742, 3581440988], + dtype=np.uint32) + assert_array_equal(SeedSequence(42).generate_state(4), expected42) + + # Regression test for gh-16539 to ensure that the implicit 0s don't + # conflict with spawn keys. + assert_array_compare( + np.not_equal, + SeedSequence(42, spawn_key=(0,)).generate_state(4), + expected42) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_smoke.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_smoke.py new file mode 100644 index 0000000000000000000000000000000000000000..5353a72a1174fcf38c43891e0e98916553b96162 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/random/tests/test_smoke.py @@ -0,0 +1,882 @@ +import pickle +from dataclasses import dataclass +from functools import partial + +import pytest + +import numpy as np +from numpy.random import MT19937, PCG64, PCG64DXSM, SFC64, Generator, Philox +from numpy.testing import assert_, assert_array_equal, assert_equal + +DTYPES_BOOL_INT_UINT = (np.bool, np.int8, np.int16, np.int32, np.int64, + np.uint8, np.uint16, np.uint32, np.uint64) + + +def params_0(f): + val = f() + assert_(np.isscalar(val)) + val = f(10) + assert_(val.shape == (10,)) + val = f((10, 10)) + assert_(val.shape == (10, 10)) + val = f((10, 10, 10)) + assert_(val.shape == (10, 10, 10)) + val = f(size=(5, 5)) + assert_(val.shape == (5, 5)) + + +def params_1(f, bounded=False): + a = 5.0 + b = np.arange(2.0, 12.0) + c = np.arange(2.0, 102.0).reshape((10, 10)) + d = np.arange(2.0, 1002.0).reshape((10, 10, 10)) + e = np.array([2.0, 3.0]) + g = np.arange(2.0, 12.0).reshape((1, 10, 1)) + if bounded: + a = 0.5 + b = b / (1.5 * b.max()) + c = c / (1.5 * c.max()) + d = d / (1.5 * d.max()) + e = e / (1.5 * e.max()) + g = g / (1.5 * g.max()) + + # Scalar + f(a) + # Scalar - size + f(a, size=(10, 10)) + # 1d + f(b) + # 2d + f(c) + # 3d + f(d) + # 1d size + f(b, size=10) + # 2d - size - broadcast + f(e, size=(10, 2)) + # 3d - size + f(g, size=(10, 10, 10)) + + +def comp_state(state1, state2): + identical = True + if isinstance(state1, dict): + for key in state1: + identical &= comp_state(state1[key], state2[key]) + elif type(state1) != type(state2): + identical &= type(state1) == type(state2) + elif (isinstance(state1, (list, tuple, np.ndarray)) and isinstance( + state2, (list, tuple, np.ndarray))): + for s1, s2 in zip(state1, state2): + identical &= comp_state(s1, s2) + else: + identical &= state1 == state2 + return identical + + +def warmup(rg, n=None): + if n is None: + n = 11 + np.random.randint(0, 20) + rg.standard_normal(n) + rg.standard_normal(n) + rg.standard_normal(n, dtype=np.float32) + rg.standard_normal(n, dtype=np.float32) + rg.integers(0, 2 ** 24, n, dtype=np.uint64) + rg.integers(0, 2 ** 48, n, dtype=np.uint64) + rg.standard_gamma(11.0, n) + rg.standard_gamma(11.0, n, dtype=np.float32) + rg.random(n, dtype=np.float64) + rg.random(n, dtype=np.float32) + + +@dataclass +class RNGData: + bit_generator: type[np.random.BitGenerator] + advance: int + seed: list[int] + rg: Generator + seed_vector_bits: int + + +class RNG: + @classmethod + def _create_rng(cls): + # Overridden in test classes. Place holder to silence IDE noise + bit_generator = PCG64 + advance = None + seed = [12345] + rg = Generator(bit_generator(*seed)) + seed_vector_bits = 64 + return RNGData(bit_generator, advance, seed, rg, seed_vector_bits) + + def test_init(self): + data = self._create_rng() + data.rg = Generator(data.bit_generator()) + state = data.rg.bit_generator.state + data.rg.standard_normal(1) + data.rg.standard_normal(1) + data.rg.bit_generator.state = state + new_state = data.rg.bit_generator.state + assert_(comp_state(state, new_state)) + + def test_advance(self): + data = self._create_rng() + state = data.rg.bit_generator.state + if hasattr(data.rg.bit_generator, 'advance'): + data.rg.bit_generator.advance(data.advance) + assert_(not comp_state(state, data.rg.bit_generator.state)) + else: + bitgen_name = data.rg.bit_generator.__class__.__name__ + pytest.skip(f'Advance is not supported by {bitgen_name}') + + def test_jump(self): + rg = self._create_rng().rg + state = rg.bit_generator.state + if hasattr(rg.bit_generator, 'jumped'): + bit_gen2 = rg.bit_generator.jumped() + jumped_state = bit_gen2.state + assert_(not comp_state(state, jumped_state)) + rg.random(2 * 3 * 5 * 7 * 11 * 13 * 17) + rg.bit_generator.state = state + bit_gen3 = rg.bit_generator.jumped() + rejumped_state = bit_gen3.state + assert_(comp_state(jumped_state, rejumped_state)) + else: + bitgen_name = rg.bit_generator.__class__.__name__ + if bitgen_name not in ('SFC64',): + raise AttributeError(f'no "jumped" in {bitgen_name}') + pytest.skip(f'Jump is not supported by {bitgen_name}') + + def test_uniform(self): + rg = self._create_rng().rg + r = rg.uniform(-1.0, 0.0, size=10) + assert_(len(r) == 10) + assert_((r > -1).all()) + assert_((r <= 0).all()) + + def test_uniform_array(self): + rg = self._create_rng().rg + r = rg.uniform(np.array([-1.0] * 10), 0.0, size=10) + assert_(len(r) == 10) + assert_((r > -1).all()) + assert_((r <= 0).all()) + r = rg.uniform(np.array([-1.0] * 10), + np.array([0.0] * 10), size=10) + assert_(len(r) == 10) + assert_((r > -1).all()) + assert_((r <= 0).all()) + r = rg.uniform(-1.0, np.array([0.0] * 10), size=10) + assert_(len(r) == 10) + assert_((r > -1).all()) + assert_((r <= 0).all()) + + def test_random(self): + rg = self._create_rng().rg + assert_(len(rg.random(10)) == 10) + params_0(rg.random) + + def test_standard_normal_zig(self): + rg = self._create_rng().rg + assert_(len(rg.standard_normal(10)) == 10) + + def test_standard_normal(self): + rg = self._create_rng().rg + assert_(len(rg.standard_normal(10)) == 10) + params_0(rg.standard_normal) + + def test_standard_gamma(self): + rg = self._create_rng().rg + assert_(len(rg.standard_gamma(10, 10)) == 10) + assert_(len(rg.standard_gamma(np.array([10] * 10), 10)) == 10) + params_1(rg.standard_gamma) + + def test_standard_exponential(self): + rg = self._create_rng().rg + assert_(len(rg.standard_exponential(10)) == 10) + params_0(rg.standard_exponential) + + def test_standard_exponential_float(self): + rg = self._create_rng().rg + randoms = rg.standard_exponential(10, dtype='float32') + assert_(len(randoms) == 10) + assert randoms.dtype == np.float32 + params_0(partial(rg.standard_exponential, dtype='float32')) + + def test_standard_exponential_float_log(self): + rg = self._create_rng().rg + randoms = rg.standard_exponential(10, dtype='float32', + method='inv') + assert_(len(randoms) == 10) + assert randoms.dtype == np.float32 + params_0(partial(rg.standard_exponential, dtype='float32', + method='inv')) + + def test_standard_cauchy(self): + rg = self._create_rng().rg + assert_(len(rg.standard_cauchy(10)) == 10) + params_0(rg.standard_cauchy) + + def test_standard_t(self): + rg = self._create_rng().rg + assert_(len(rg.standard_t(10, 10)) == 10) + params_1(rg.standard_t) + + def test_binomial(self): + rg = self._create_rng().rg + assert_(rg.binomial(10, .5) >= 0) + assert_(rg.binomial(1000, .5) >= 0) + + def test_reset_state(self): + rg = self._create_rng().rg + state = rg.bit_generator.state + int_1 = rg.integers(2**31) + rg.bit_generator.state = state + int_2 = rg.integers(2**31) + assert_(int_1 == int_2) + + def test_entropy_init(self): + bit_generator = self._create_rng().bit_generator + rg = Generator(bit_generator()) + rg2 = Generator(bit_generator()) + assert_(not comp_state(rg.bit_generator.state, + rg2.bit_generator.state)) + + def test_seed(self): + data = self._create_rng() + rg = Generator(data.bit_generator(*data.seed)) + rg2 = Generator(data.bit_generator(*data.seed)) + rg.random() + rg2.random() + assert_(comp_state(rg.bit_generator.state, rg2.bit_generator.state)) + + def test_reset_state_gauss(self): + data = self._create_rng() + rg = Generator(data.bit_generator(*data.seed)) + rg.standard_normal() + state = rg.bit_generator.state + n1 = rg.standard_normal(size=10) + rg2 = Generator(data.bit_generator()) + rg2.bit_generator.state = state + n2 = rg2.standard_normal(size=10) + assert_array_equal(n1, n2) + + def test_reset_state_uint32(self): + data = self._create_rng() + rg = Generator(data.bit_generator(*data.seed)) + rg.integers(0, 2 ** 24, 120, dtype=np.uint32) + state = rg.bit_generator.state + n1 = rg.integers(0, 2 ** 24, 10, dtype=np.uint32) + rg2 = Generator(data.bit_generator()) + rg2.bit_generator.state = state + n2 = rg2.integers(0, 2 ** 24, 10, dtype=np.uint32) + assert_array_equal(n1, n2) + + def test_reset_state_float(self): + data = self._create_rng() + rg = Generator(data.bit_generator(*data.seed)) + rg.random(dtype='float32') + state = rg.bit_generator.state + n1 = rg.random(size=10, dtype='float32') + rg2 = Generator(data.bit_generator()) + rg2.bit_generator.state = state + n2 = rg2.random(size=10, dtype='float32') + assert_((n1 == n2).all()) + + def test_shuffle(self): + rg = self._create_rng().rg + original = np.arange(200, 0, -1) + permuted = rg.permutation(original) + assert_((original != permuted).any()) + + def test_permutation(self): + rg = self._create_rng().rg + original = np.arange(200, 0, -1) + permuted = rg.permutation(original) + assert_((original != permuted).any()) + + def test_beta(self): + rg = self._create_rng().rg + vals = rg.beta(2.0, 2.0, 10) + assert_(len(vals) == 10) + vals = rg.beta(np.array([2.0] * 10), 2.0) + assert_(len(vals) == 10) + vals = rg.beta(2.0, np.array([2.0] * 10)) + assert_(len(vals) == 10) + vals = rg.beta(np.array([2.0] * 10), np.array([2.0] * 10)) + assert_(len(vals) == 10) + vals = rg.beta(np.array([2.0] * 10), np.array([[2.0]] * 10)) + assert_(vals.shape == (10, 10)) + + def test_bytes(self): + rg = self._create_rng().rg + vals = rg.bytes(10) + assert_(len(vals) == 10) + + def test_chisquare(self): + rg = self._create_rng().rg + vals = rg.chisquare(2.0, 10) + assert_(len(vals) == 10) + params_1(rg.chisquare) + + def test_exponential(self): + rg = self._create_rng().rg + vals = rg.exponential(2.0, 10) + assert_(len(vals) == 10) + params_1(rg.exponential) + + def test_f(self): + rg = self._create_rng().rg + vals = rg.f(3, 1000, 10) + assert_(len(vals) == 10) + + def test_gamma(self): + rg = self._create_rng().rg + vals = rg.gamma(3, 2, 10) + assert_(len(vals) == 10) + + def test_geometric(self): + rg = self._create_rng().rg + vals = rg.geometric(0.5, 10) + assert_(len(vals) == 10) + params_1(rg.exponential, bounded=True) + + def test_gumbel(self): + rg = self._create_rng().rg + vals = rg.gumbel(2.0, 2.0, 10) + assert_(len(vals) == 10) + + def test_laplace(self): + rg = self._create_rng().rg + vals = rg.laplace(2.0, 2.0, 10) + assert_(len(vals) == 10) + + def test_logitic(self): + rg = self._create_rng().rg + vals = rg.logistic(2.0, 2.0, 10) + assert_(len(vals) == 10) + + def test_logseries(self): + rg = self._create_rng().rg + vals = rg.logseries(0.5, 10) + assert_(len(vals) == 10) + + def test_negative_binomial(self): + rg = self._create_rng().rg + vals = rg.negative_binomial(10, 0.2, 10) + assert_(len(vals) == 10) + + def test_noncentral_chisquare(self): + rg = self._create_rng().rg + vals = rg.noncentral_chisquare(10, 2, 10) + assert_(len(vals) == 10) + + def test_noncentral_f(self): + rg = self._create_rng().rg + vals = rg.noncentral_f(3, 1000, 2, 10) + assert_(len(vals) == 10) + vals = rg.noncentral_f(np.array([3] * 10), 1000, 2) + assert_(len(vals) == 10) + vals = rg.noncentral_f(3, np.array([1000] * 10), 2) + assert_(len(vals) == 10) + vals = rg.noncentral_f(3, 1000, np.array([2] * 10)) + assert_(len(vals) == 10) + + def test_normal(self): + rg = self._create_rng().rg + vals = rg.normal(10, 0.2, 10) + assert_(len(vals) == 10) + + def test_pareto(self): + rg = self._create_rng().rg + vals = rg.pareto(3.0, 10) + assert_(len(vals) == 10) + + def test_poisson(self): + rg = self._create_rng().rg + vals = rg.poisson(10, 10) + assert_(len(vals) == 10) + vals = rg.poisson(np.array([10] * 10)) + assert_(len(vals) == 10) + params_1(rg.poisson) + + def test_power(self): + rg = self._create_rng().rg + vals = rg.power(0.2, 10) + assert_(len(vals) == 10) + + def test_integers(self): + rg = self._create_rng().rg + vals = rg.integers(10, 20, 10) + assert_(len(vals) == 10) + + def test_rayleigh(self): + rg = self._create_rng().rg + vals = rg.rayleigh(0.2, 10) + assert_(len(vals) == 10) + params_1(rg.rayleigh, bounded=True) + + def test_vonmises(self): + rg = self._create_rng().rg + vals = rg.vonmises(10, 0.2, 10) + assert_(len(vals) == 10) + + def test_wald(self): + rg = self._create_rng().rg + vals = rg.wald(1.0, 1.0, 10) + assert_(len(vals) == 10) + + def test_weibull(self): + rg = self._create_rng().rg + vals = rg.weibull(1.0, 10) + assert_(len(vals) == 10) + + def test_zipf(self): + rg = self._create_rng().rg + vec_1d = np.arange(2.0, 102.0) + vec_2d = np.arange(2.0, 102.0)[None, :] + mat = np.arange(2.0, 102.0, 0.01).reshape((100, 100)) + vals = rg.zipf(10, 10) + assert_(len(vals) == 10) + vals = rg.zipf(vec_1d) + assert_(len(vals) == 100) + vals = rg.zipf(vec_2d) + assert_(vals.shape == (1, 100)) + vals = rg.zipf(mat) + assert_(vals.shape == (100, 100)) + + def test_hypergeometric(self): + rg = self._create_rng().rg + vals = rg.hypergeometric(25, 25, 20) + assert_(np.isscalar(vals)) + vals = rg.hypergeometric(np.array([25] * 10), 25, 20) + assert_(vals.shape == (10,)) + + def test_triangular(self): + rg = self._create_rng().rg + vals = rg.triangular(-5, 0, 5) + assert_(np.isscalar(vals)) + vals = rg.triangular(-5, np.array([0] * 10), 5) + assert_(vals.shape == (10,)) + + def test_multivariate_normal(self): + rg = self._create_rng().rg + mean = [0, 0] + cov = [[1, 0], [0, 100]] # diagonal covariance + x = rg.multivariate_normal(mean, cov, 5000) + assert_(x.shape == (5000, 2)) + x_zig = rg.multivariate_normal(mean, cov, 5000) + assert_(x.shape == (5000, 2)) + x_inv = rg.multivariate_normal(mean, cov, 5000) + assert_(x.shape == (5000, 2)) + assert_((x_zig != x_inv).any()) + + def test_multinomial(self): + rg = self._create_rng().rg + vals = rg.multinomial(100, [1.0 / 3, 2.0 / 3]) + assert_(vals.shape == (2,)) + vals = rg.multinomial(100, [1.0 / 3, 2.0 / 3], size=10) + assert_(vals.shape == (10, 2)) + + def test_dirichlet(self): + rg = self._create_rng().rg + s = rg.dirichlet((10, 5, 3), 20) + assert_(s.shape == (20, 3)) + + def test_pickle(self): + rg = self._create_rng().rg + pick = pickle.dumps(rg) + unpick = pickle.loads(pick) + assert_(type(rg) == type(unpick)) + assert_(comp_state(rg.bit_generator.state, + unpick.bit_generator.state)) + + pick = pickle.dumps(rg) + unpick = pickle.loads(pick) + assert_(type(rg) == type(unpick)) + assert_(comp_state(rg.bit_generator.state, + unpick.bit_generator.state)) + + def test_seed_array(self): + data = self._create_rng() + if data.seed_vector_bits is None: + bitgen_name = data.bit_generator.__name__ + pytest.skip(f'Vector seeding is not supported by {bitgen_name}') + + if data.seed_vector_bits == 32: + dtype = np.uint32 + else: + dtype = np.uint64 + seed = np.array([1], dtype=dtype) + bg = data.bit_generator(seed) + state1 = bg.state + bg = data.bit_generator(1) + state2 = bg.state + assert_(comp_state(state1, state2)) + + seed = np.arange(4, dtype=dtype) + bg = data.bit_generator(seed) + state1 = bg.state + bg = data.bit_generator(seed[0]) + state2 = bg.state + assert_(not comp_state(state1, state2)) + + seed = np.arange(1500, dtype=dtype) + bg = data.bit_generator(seed) + state1 = bg.state + bg = data.bit_generator(seed[0]) + state2 = bg.state + assert_(not comp_state(state1, state2)) + + seed = 2 ** np.mod(np.arange(1500, dtype=dtype), + data.seed_vector_bits - 1) + 1 + bg = data.bit_generator(seed) + state1 = bg.state + bg = data.bit_generator(seed[0]) + state2 = bg.state + assert_(not comp_state(state1, state2)) + + def test_uniform_float(self): + bit_generator = self._create_rng().bit_generator + rg = Generator(bit_generator(12345)) + warmup(rg) + state = rg.bit_generator.state + r1 = rg.random(11, dtype=np.float32) + rg2 = Generator(bit_generator()) + warmup(rg2) + rg2.bit_generator.state = state + r2 = rg2.random(11, dtype=np.float32) + assert_array_equal(r1, r2) + assert_equal(r1.dtype, np.float32) + assert_(comp_state(rg.bit_generator.state, rg2.bit_generator.state)) + + def test_gamma_floats(self): + bit_generator = self._create_rng().bit_generator + rg = Generator(bit_generator()) + warmup(rg) + state = rg.bit_generator.state + r1 = rg.standard_gamma(4.0, 11, dtype=np.float32) + rg2 = Generator(bit_generator()) + warmup(rg2) + rg2.bit_generator.state = state + r2 = rg2.standard_gamma(4.0, 11, dtype=np.float32) + assert_array_equal(r1, r2) + assert_equal(r1.dtype, np.float32) + assert_(comp_state(rg.bit_generator.state, rg2.bit_generator.state)) + + def test_normal_floats(self): + bit_generator = self._create_rng().bit_generator + rg = Generator(bit_generator()) + warmup(rg) + state = rg.bit_generator.state + r1 = rg.standard_normal(11, dtype=np.float32) + rg2 = Generator(bit_generator()) + warmup(rg2) + rg2.bit_generator.state = state + r2 = rg2.standard_normal(11, dtype=np.float32) + assert_array_equal(r1, r2) + assert_equal(r1.dtype, np.float32) + assert_(comp_state(rg.bit_generator.state, rg2.bit_generator.state)) + + def test_normal_zig_floats(self): + bit_generator = self._create_rng().bit_generator + rg = Generator(bit_generator()) + warmup(rg) + state = rg.bit_generator.state + r1 = rg.standard_normal(11, dtype=np.float32) + rg2 = Generator(bit_generator()) + warmup(rg2) + rg2.bit_generator.state = state + r2 = rg2.standard_normal(11, dtype=np.float32) + assert_array_equal(r1, r2) + assert_equal(r1.dtype, np.float32) + assert_(comp_state(rg.bit_generator.state, rg2.bit_generator.state)) + + def test_output_fill(self): + rg = self._create_rng().rg + state = rg.bit_generator.state + size = (31, 7, 97) + existing = np.empty(size) + rg.bit_generator.state = state + rg.standard_normal(out=existing) + rg.bit_generator.state = state + direct = rg.standard_normal(size=size) + assert_equal(direct, existing) + + sized = np.empty(size) + rg.bit_generator.state = state + rg.standard_normal(out=sized, size=sized.shape) + + existing = np.empty(size, dtype=np.float32) + rg.bit_generator.state = state + rg.standard_normal(out=existing, dtype=np.float32) + rg.bit_generator.state = state + direct = rg.standard_normal(size=size, dtype=np.float32) + assert_equal(direct, existing) + + def test_output_filling_uniform(self): + rg = self._create_rng().rg + state = rg.bit_generator.state + size = (31, 7, 97) + existing = np.empty(size) + rg.bit_generator.state = state + rg.random(out=existing) + rg.bit_generator.state = state + direct = rg.random(size=size) + assert_equal(direct, existing) + + existing = np.empty(size, dtype=np.float32) + rg.bit_generator.state = state + rg.random(out=existing, dtype=np.float32) + rg.bit_generator.state = state + direct = rg.random(size=size, dtype=np.float32) + assert_equal(direct, existing) + + def test_output_filling_exponential(self): + rg = self._create_rng().rg + state = rg.bit_generator.state + size = (31, 7, 97) + existing = np.empty(size) + rg.bit_generator.state = state + rg.standard_exponential(out=existing) + rg.bit_generator.state = state + direct = rg.standard_exponential(size=size) + assert_equal(direct, existing) + + existing = np.empty(size, dtype=np.float32) + rg.bit_generator.state = state + rg.standard_exponential(out=existing, dtype=np.float32) + rg.bit_generator.state = state + direct = rg.standard_exponential(size=size, dtype=np.float32) + assert_equal(direct, existing) + + def test_output_filling_gamma(self): + rg = self._create_rng().rg + state = rg.bit_generator.state + size = (31, 7, 97) + existing = np.zeros(size) + rg.bit_generator.state = state + rg.standard_gamma(1.0, out=existing) + rg.bit_generator.state = state + direct = rg.standard_gamma(1.0, size=size) + assert_equal(direct, existing) + + existing = np.zeros(size, dtype=np.float32) + rg.bit_generator.state = state + rg.standard_gamma(1.0, out=existing, dtype=np.float32) + rg.bit_generator.state = state + direct = rg.standard_gamma(1.0, size=size, dtype=np.float32) + assert_equal(direct, existing) + + def test_output_filling_gamma_broadcast(self): + rg = self._create_rng().rg + state = rg.bit_generator.state + size = (31, 7, 97) + mu = np.arange(97.0) + 1.0 + existing = np.zeros(size) + rg.bit_generator.state = state + rg.standard_gamma(mu, out=existing) + rg.bit_generator.state = state + direct = rg.standard_gamma(mu, size=size) + assert_equal(direct, existing) + + existing = np.zeros(size, dtype=np.float32) + rg.bit_generator.state = state + rg.standard_gamma(mu, out=existing, dtype=np.float32) + rg.bit_generator.state = state + direct = rg.standard_gamma(mu, size=size, dtype=np.float32) + assert_equal(direct, existing) + + def test_output_fill_error(self): + rg = self._create_rng().rg + size = (31, 7, 97) + existing = np.empty(size) + with pytest.raises(TypeError): + rg.standard_normal(out=existing, dtype=np.float32) + with pytest.raises(ValueError): + rg.standard_normal(out=existing[::3]) + existing = np.empty(size, dtype=np.float32) + with pytest.raises(TypeError): + rg.standard_normal(out=existing, dtype=np.float64) + + existing = np.zeros(size, dtype=np.float32) + with pytest.raises(TypeError): + rg.standard_gamma(1.0, out=existing, dtype=np.float64) + with pytest.raises(ValueError): + rg.standard_gamma(1.0, out=existing[::3], dtype=np.float32) + existing = np.zeros(size, dtype=np.float64) + with pytest.raises(TypeError): + rg.standard_gamma(1.0, out=existing, dtype=np.float32) + with pytest.raises(ValueError): + rg.standard_gamma(1.0, out=existing[::3]) + + @pytest.mark.parametrize("dtype", DTYPES_BOOL_INT_UINT) + def test_integers_broadcast(self, dtype): + rg = self._create_rng().rg + initial_state = rg.bit_generator.state + + def reset_state(rng): + rng.bit_generator.state = initial_state + + if dtype == np.bool: + upper = 2 + lower = 0 + else: + info = np.iinfo(dtype) + upper = int(info.max) + 1 + lower = info.min + reset_state(rg) + rg.bit_generator.state = initial_state + a = rg.integers(lower, [upper] * 10, dtype=dtype) + reset_state(rg) + b = rg.integers([lower] * 10, upper, dtype=dtype) + assert_equal(a, b) + reset_state(rg) + c = rg.integers(lower, upper, size=10, dtype=dtype) + assert_equal(a, c) + reset_state(rg) + d = rg.integers(np.array( + [lower] * 10), np.array([upper], dtype=object), size=10, + dtype=dtype) + assert_equal(a, d) + reset_state(rg) + e = rg.integers( + np.array([lower] * 10), np.array([upper] * 10), size=10, + dtype=dtype) + assert_equal(a, e) + + reset_state(rg) + a = rg.integers(0, upper, size=10, dtype=dtype) + reset_state(rg) + b = rg.integers([upper] * 10, dtype=dtype) + assert_equal(a, b) + + @pytest.mark.parametrize("dtype", DTYPES_BOOL_INT_UINT) + def test_integers_numpy(self, dtype): + rg = self._create_rng().rg + high = np.array([1]) + low = np.array([0]) + + out = rg.integers(low, high, dtype=dtype) + assert out.shape == (1,) + + out = rg.integers(low[0], high, dtype=dtype) + assert out.shape == (1,) + + out = rg.integers(low, high[0], dtype=dtype) + assert out.shape == (1,) + + @pytest.mark.parametrize("dtype", DTYPES_BOOL_INT_UINT) + def test_integers_broadcast_errors(self, dtype): + rg = self._create_rng().rg + if dtype == np.bool: + upper = 2 + lower = 0 + else: + info = np.iinfo(dtype) + upper = int(info.max) + 1 + lower = info.min + with pytest.raises(ValueError): + rg.integers(lower, [upper + 1] * 10, dtype=dtype) + with pytest.raises(ValueError): + rg.integers(lower - 1, [upper] * 10, dtype=dtype) + with pytest.raises(ValueError): + rg.integers([lower - 1], [upper] * 10, dtype=dtype) + with pytest.raises(ValueError): + rg.integers([0], [0], dtype=dtype) + + +class TestMT19937(RNG): + @classmethod + def _create_rng(cls): + bit_generator = MT19937 + advance = None + seed = [2 ** 21 + 2 ** 16 + 2 ** 5 + 1] + rg = Generator(bit_generator(*seed)) + seed_vector_bits = 32 + return RNGData(bit_generator, advance, seed, rg, seed_vector_bits) + + def test_numpy_state(self): + rg = self._create_rng().rg + nprg = np.random.RandomState() + nprg.standard_normal(99) + state = nprg.get_state() + rg.bit_generator.state = state + state2 = rg.bit_generator.state + assert_((state[1] == state2['state']['key']).all()) + assert_(state[2] == state2['state']['pos']) + + +class TestPhilox(RNG): + @classmethod + def _create_rng(cls): + bit_generator = Philox + advance = 2**63 + 2**31 + 2**15 + 1 + seed = [12345] + rg = Generator(bit_generator(*seed)) + seed_vector_bits = 64 + return RNGData(bit_generator, advance, seed, rg, seed_vector_bits) + + +class TestSFC64(RNG): + @classmethod + def _create_rng(cls): + bit_generator = SFC64 + advance = None + seed = [12345] + rg = Generator(bit_generator(*seed)) + seed_vector_bits = 192 + return RNGData(bit_generator, advance, seed, rg, seed_vector_bits) + + +class TestPCG64(RNG): + @classmethod + def _create_rng(cls): + bit_generator = PCG64 + advance = 2**63 + 2**31 + 2**15 + 1 + seed = [12345] + rg = Generator(bit_generator(*seed)) + seed_vector_bits = 64 + return RNGData(bit_generator, advance, seed, rg, seed_vector_bits) + + +class TestPCG64DXSM(RNG): + @classmethod + def _create_rng(cls): + bit_generator = PCG64DXSM + advance = 2**63 + 2**31 + 2**15 + 1 + seed = [12345] + rg = Generator(bit_generator(*seed)) + seed_vector_bits = 64 + return RNGData(bit_generator, advance, seed, rg, seed_vector_bits) + + +class TestDefaultRNG(RNG): + @classmethod + def _create_rng(cls): + # This will duplicate some tests that directly instantiate a fresh + # Generator(), but that's okay. + bit_generator = PCG64 + advance = 2**63 + 2**31 + 2**15 + 1 + seed = [12345] + rg = np.random.default_rng(*seed) + seed_vector_bits = 64 + return RNGData(bit_generator, advance, seed, rg, seed_vector_bits) + + def test_default_is_pcg64(self): + # In order to change the default BitGenerator, we'll go through + # a deprecation cycle to move to a different function. + rg = self._create_rng().rg + assert_(isinstance(rg.bit_generator, PCG64)) + + def test_seed(self): + np.random.default_rng() + np.random.default_rng(None) + np.random.default_rng(12345) + np.random.default_rng(0) + np.random.default_rng(43660444402423911716352051725018508569) + np.random.default_rng([43660444402423911716352051725018508569, + 279705150948142787361475340226491943209]) + with pytest.raises(ValueError): + np.random.default_rng(-1) + with pytest.raises(ValueError): + np.random.default_rng([12345, -1]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/rec/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/rec/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..420240c8d4d15407df1556ce6ce435bcbbabff00 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/rec/__init__.py @@ -0,0 +1,2 @@ +from numpy._core.records import * +from numpy._core.records import __all__, __doc__ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/rec/__init__.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/rec/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..6a78c66ff2c2bb8ded698dd77c17f30be56722ec --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/rec/__init__.pyi @@ -0,0 +1,23 @@ +from numpy._core.records import ( + array, + find_duplicate, + format_parser, + fromarrays, + fromfile, + fromrecords, + fromstring, + recarray, + record, +) + +__all__ = [ + "record", + "recarray", + "format_parser", + "fromarrays", + "fromrecords", + "fromstring", + "fromfile", + "array", + "find_duplicate", +] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/rec/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/rec/__pycache__/__init__.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..a47d45723562dba0502d2e1190f95dcb4b4928ce Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/rec/__pycache__/__init__.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/strings/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/strings/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..561dadcf37d090ce201f9b9bec2dbb6e86a3dc06 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/strings/__init__.py @@ -0,0 +1,2 @@ +from numpy._core.strings import * +from numpy._core.strings import __all__, __doc__ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/strings/__init__.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/strings/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b2fb363531d4eba972ba9866a08fb6f047ec7eb1 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/strings/__init__.pyi @@ -0,0 +1,97 @@ +from numpy._core.strings import ( + add, + capitalize, + center, + count, + decode, + encode, + endswith, + equal, + expandtabs, + find, + greater, + greater_equal, + index, + isalnum, + isalpha, + isdecimal, + isdigit, + islower, + isnumeric, + isspace, + istitle, + isupper, + less, + less_equal, + ljust, + lower, + lstrip, + mod, + multiply, + not_equal, + partition, + replace, + rfind, + rindex, + rjust, + rpartition, + rstrip, + slice, + startswith, + str_len, + strip, + swapcase, + title, + translate, + upper, + zfill, +) + +__all__ = [ + "equal", + "not_equal", + "less", + "less_equal", + "greater", + "greater_equal", + "add", + "multiply", + "isalpha", + "isdigit", + "isspace", + "isalnum", + "islower", + "isupper", + "istitle", + "isdecimal", + "isnumeric", + "str_len", + "find", + "rfind", + "index", + "rindex", + "count", + "startswith", + "endswith", + "lstrip", + "rstrip", + "strip", + "replace", + "expandtabs", + "center", + "ljust", + "rjust", + "zfill", + "partition", + "rpartition", + "upper", + "lower", + "swapcase", + "capitalize", + "title", + "mod", + "decode", + "encode", + "translate", + "slice", +] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/strings/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/strings/__pycache__/__init__.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..facea5c3b5540e5df3ff84dd1114733755d14919 Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/strings/__pycache__/__init__.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..fe0c4f2367f223e32dccd37763d5b03c7fc88347 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/__init__.py @@ -0,0 +1,22 @@ +"""Common test support for all numpy test scripts. + +This single module should provide all the common functionality for numpy tests +in a single location, so that test scripts can just import it and work right +away. + +""" +from unittest import TestCase + +from . import _private, overrides +from ._private import extbuild +from ._private.utils import * +from ._private.utils import _assert_valid_refcount, _gen_alignment_data + +__all__ = ( + _private.utils.__all__ + ['TestCase', 'overrides'] +) + +from numpy._pytesttester import PytestTester + +test = PytestTester(__name__) +del PytestTester diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/__init__.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..684a7c36adec6087673cd3bc929e098502e58be4 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/__init__.pyi @@ -0,0 +1,107 @@ +from unittest import TestCase + +from . import _private as _private, overrides +from ._private import extbuild as extbuild +from ._private.utils import ( + BLAS_SUPPORTS_FPE, + HAS_LAPACK64, + HAS_REFCOUNT, + IS_64BIT, + IS_EDITABLE, + IS_INSTALLED, + IS_MUSL, + IS_PYPY, + IS_PYSTON, + IS_WASM, + NOGIL_BUILD, + NUMPY_ROOT, + IgnoreException, + KnownFailureException, + SkipTest, + assert_, + assert_allclose, + assert_almost_equal, + assert_approx_equal, + assert_array_almost_equal, + assert_array_almost_equal_nulp, + assert_array_compare, + assert_array_equal, + assert_array_less, + assert_array_max_ulp, + assert_equal, + assert_no_gc_cycles, + assert_no_warnings, + assert_raises, + assert_raises_regex, + assert_string_equal, + assert_warns, + break_cycles, + build_err_msg, + check_support_sve, + clear_and_catch_warnings, + decorate_methods, + jiffies, + measure, + memusage, + print_assert_equal, + run_threaded, + rundocs, + runstring, + suppress_warnings, + tempdir, + temppath, + verbose, +) + +__all__ = [ + "BLAS_SUPPORTS_FPE", + "HAS_LAPACK64", + "HAS_REFCOUNT", + "IS_64BIT", + "IS_EDITABLE", + "IS_INSTALLED", + "IS_MUSL", + "IS_PYPY", + "IS_PYSTON", + "IS_WASM", + "NOGIL_BUILD", + "NUMPY_ROOT", + "IgnoreException", + "KnownFailureException", + "SkipTest", + "TestCase", + "assert_", + "assert_allclose", + "assert_almost_equal", + "assert_approx_equal", + "assert_array_almost_equal", + "assert_array_almost_equal_nulp", + "assert_array_compare", + "assert_array_equal", + "assert_array_less", + "assert_array_max_ulp", + "assert_equal", + "assert_no_gc_cycles", + "assert_no_warnings", + "assert_raises", + "assert_raises_regex", + "assert_string_equal", + "assert_warns", + "break_cycles", + "build_err_msg", + "check_support_sve", + "clear_and_catch_warnings", + "decorate_methods", + "jiffies", + "measure", + "memusage", + "overrides", + "print_assert_equal", + "run_threaded", + "rundocs", + "runstring", + "suppress_warnings", + "tempdir", + "temppath", + "verbose", +] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/__pycache__/__init__.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..c4a8a8e9e50dfc65f3e778a71a3290258221ed12 Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/__pycache__/__init__.cpython-311.pyc differ diff --git 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a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/__pycache__/utils.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/__pycache__/utils.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..ebcdede6497f43cfec5a7b555d561082e5c0fff0 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/__pycache__/utils.cpython-311.pyc @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:e08d399957146316d0bfa9f139ecec211e44bdb51748a55a754c680eb6ffc637 +size 119605 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/extbuild.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/extbuild.py new file mode 100644 index 0000000000000000000000000000000000000000..2a724b73cfc3d74598d67ff9e9ab00bf931a23e0 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/extbuild.py @@ -0,0 +1,250 @@ +""" +Build a c-extension module on-the-fly in tests. +See build_and_import_extensions for usage hints + +""" + +import os +import pathlib +import subprocess +import sys +import sysconfig +import textwrap + +__all__ = ['build_and_import_extension', 'compile_extension_module'] + + +def build_and_import_extension( + modname, functions, *, prologue="", build_dir=None, + include_dirs=None, more_init=""): + """ + Build and imports a c-extension module `modname` from a list of function + fragments `functions`. + + + Parameters + ---------- + functions : list of fragments + Each fragment is a sequence of func_name, calling convention, snippet. + prologue : string + Code to precede the rest, usually extra ``#include`` or ``#define`` + macros. + build_dir : pathlib.Path + Where to build the module, usually a temporary directory + include_dirs : list + Extra directories to find include files when compiling + more_init : string + Code to appear in the module PyMODINIT_FUNC + + Returns + ------- + out: module + The module will have been loaded and is ready for use + + Examples + -------- + >>> functions = [("test_bytes", "METH_O", \"\"\" + if ( !PyBytesCheck(args)) { + Py_RETURN_FALSE; + } + Py_RETURN_TRUE; + \"\"\")] + >>> mod = build_and_import_extension("testme", functions) + >>> assert not mod.test_bytes('abc') + >>> assert mod.test_bytes(b'abc') + """ + if include_dirs is None: + include_dirs = [] + body = prologue + _make_methods(functions, modname) + init = """ + PyObject *mod = PyModule_Create(&moduledef); + #ifdef Py_GIL_DISABLED + PyUnstable_Module_SetGIL(mod, Py_MOD_GIL_NOT_USED); + #endif + """ + if not build_dir: + build_dir = pathlib.Path('.') + if more_init: + init += """#define INITERROR return NULL + """ + init += more_init + init += "\nreturn mod;" + source_string = _make_source(modname, init, body) + mod_so = compile_extension_module( + modname, build_dir, include_dirs, source_string) + import importlib.util + spec = importlib.util.spec_from_file_location(modname, mod_so) + foo = importlib.util.module_from_spec(spec) + spec.loader.exec_module(foo) + return foo + + +def compile_extension_module( + name, builddir, include_dirs, + source_string, libraries=None, library_dirs=None): + """ + Build an extension module and return the filename of the resulting + native code file. + + Parameters + ---------- + name : string + name of the module, possibly including dots if it is a module inside a + package. + builddir : pathlib.Path + Where to build the module, usually a temporary directory + include_dirs : list + Extra directories to find include files when compiling + libraries : list + Libraries to link into the extension module + library_dirs: list + Where to find the libraries, ``-L`` passed to the linker + """ + modname = name.split('.')[-1] + dirname = builddir / name + dirname.mkdir(exist_ok=True) + cfile = _convert_str_to_file(source_string, dirname) + include_dirs = include_dirs or [] + libraries = libraries or [] + library_dirs = library_dirs or [] + + return _c_compile( + cfile, outputfilename=dirname / modname, + include_dirs=include_dirs, libraries=libraries, + library_dirs=library_dirs, + ) + + +def _convert_str_to_file(source, dirname): + """Helper function to create a file ``source.c`` in `dirname` that contains + the string in `source`. Returns the file name + """ + filename = dirname / 'source.c' + with filename.open('w') as f: + f.write(str(source)) + return filename + + +def _make_methods(functions, modname): + """ Turns the name, signature, code in functions into complete functions + and lists them in a methods_table. Then turns the methods_table into a + ``PyMethodDef`` structure and returns the resulting code fragment ready + for compilation + """ + methods_table = [] + codes = [] + for funcname, flags, code in functions: + cfuncname = f"{modname}_{funcname}" + if 'METH_KEYWORDS' in flags: + signature = '(PyObject *self, PyObject *args, PyObject *kwargs)' + else: + signature = '(PyObject *self, PyObject *args)' + methods_table.append( + "{\"%s\", (PyCFunction)%s, %s}," % (funcname, cfuncname, flags)) + func_code = f""" + static PyObject* {cfuncname}{signature} + {{ + {code} + }} + """ + codes.append(func_code) + + body = "\n".join(codes) + """ + static PyMethodDef methods[] = { + %(methods)s + { NULL } + }; + static struct PyModuleDef moduledef = { + PyModuleDef_HEAD_INIT, + "%(modname)s", /* m_name */ + NULL, /* m_doc */ + -1, /* m_size */ + methods, /* m_methods */ + }; + """ % {'methods': '\n'.join(methods_table), 'modname': modname} + return body + + +def _make_source(name, init, body): + """ Combines the code fragments into source code ready to be compiled + """ + code = """ + #include + + %(body)s + + PyMODINIT_FUNC + PyInit_%(name)s(void) { + %(init)s + } + """ % { + 'name': name, 'init': init, 'body': body, + } + return code + + +def _c_compile(cfile, outputfilename, include_dirs, libraries, + library_dirs): + link_extra = [] + if sys.platform == 'win32': + compile_extra = ["/we4013"] + link_extra.append('/DEBUG') # generate .pdb file + elif sys.platform.startswith('linux'): + compile_extra = [ + "-O0", "-g", "-Werror=implicit-function-declaration", "-fPIC"] + else: + compile_extra = [] + + return build( + cfile, outputfilename, + compile_extra, link_extra, + include_dirs, libraries, library_dirs) + + +def build(cfile, outputfilename, compile_extra, link_extra, + include_dirs, libraries, library_dirs): + "use meson to build" + + build_dir = cfile.parent / "build" + os.makedirs(build_dir, exist_ok=True) + with open(cfile.parent / "meson.build", "wt") as fid: + link_dirs = ['-L' + d for d in library_dirs] + fid.write(textwrap.dedent(f"""\ + project('foo', 'c') + py = import('python').find_installation(pure: false) + py.extension_module( + '{outputfilename.parts[-1]}', + '{cfile.parts[-1]}', + c_args: {compile_extra}, + link_args: {link_dirs}, + include_directories: {include_dirs}, + ) + """)) + native_file_name = cfile.parent / ".mesonpy-native-file.ini" + with open(native_file_name, "wt") as fid: + fid.write(textwrap.dedent(f"""\ + [binaries] + python = '{sys.executable}' + """)) + if sys.platform == "win32": + subprocess.check_call(["meson", "setup", + "--buildtype=release", + "--vsenv", ".."], + cwd=build_dir, + ) + else: + subprocess.check_call(["meson", "setup", "--vsenv", + "..", f'--native-file={os.fspath(native_file_name)}'], + cwd=build_dir + ) + + so_name = outputfilename.parts[-1] + get_so_suffix() + subprocess.check_call(["meson", "compile"], cwd=build_dir) + os.rename(str(build_dir / so_name), cfile.parent / so_name) + return cfile.parent / so_name + + +def get_so_suffix(): + ret = sysconfig.get_config_var('EXT_SUFFIX') + assert ret + return ret diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/extbuild.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/extbuild.pyi new file mode 100644 index 0000000000000000000000000000000000000000..c1ae507d6a496e9324536db6d0e73ea7989c45e1 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/extbuild.pyi @@ -0,0 +1,25 @@ +import pathlib +import types +from collections.abc import Sequence + +__all__ = ["build_and_import_extension", "compile_extension_module"] + +def build_and_import_extension( + modname: str, + functions: Sequence[tuple[str, str, str]], + *, + prologue: str = "", + build_dir: pathlib.Path | None = None, + include_dirs: Sequence[str] | None = None, + more_init: str = "", +) -> types.ModuleType: ... + +# +def compile_extension_module( + name: str, + builddir: pathlib.Path, + include_dirs: Sequence[str], + source_string: str, + libraries: Sequence[str] | None = None, + library_dirs: Sequence[str] | None = None, +) -> pathlib.Path: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/utils.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/utils.py new file mode 100644 index 0000000000000000000000000000000000000000..e1a687b67e959408f16d1cd98e2ebe9265ed3d87 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/utils.py @@ -0,0 +1,2830 @@ +""" +Utility function to facilitate testing. + +""" +import concurrent.futures +import contextlib +import gc +import importlib.metadata +import operator +import os +import pathlib +import platform +import pprint +import re +import shutil +import sys +import sysconfig +import threading +import warnings +from functools import partial, wraps +from io import StringIO +from tempfile import mkdtemp, mkstemp +from unittest.case import SkipTest +from warnings import WarningMessage + +import numpy as np +import numpy.linalg._umath_linalg +from numpy import isfinite, isnan +from numpy._core import arange, array, array_repr, empty, float32, intp, isnat, ndarray + +__all__ = [ + 'assert_equal', 'assert_almost_equal', 'assert_approx_equal', + 'assert_array_equal', 'assert_array_less', 'assert_string_equal', + 'assert_array_almost_equal', 'assert_raises', 'build_err_msg', + 'decorate_methods', 'jiffies', 'memusage', 'print_assert_equal', + 'rundocs', 'runstring', 'verbose', 'measure', + 'assert_', 'assert_array_almost_equal_nulp', 'assert_raises_regex', + 'assert_array_max_ulp', 'assert_warns', 'assert_no_warnings', + 'assert_allclose', 'IgnoreException', 'clear_and_catch_warnings', + 'SkipTest', 'KnownFailureException', 'temppath', 'tempdir', 'IS_PYPY', + 'HAS_REFCOUNT', "IS_WASM", 'suppress_warnings', 'assert_array_compare', + 'assert_no_gc_cycles', 'break_cycles', 'HAS_LAPACK64', 'IS_PYSTON', + 'IS_MUSL', 'check_support_sve', 'NOGIL_BUILD', + 'IS_EDITABLE', 'IS_INSTALLED', 'NUMPY_ROOT', 'run_threaded', 'IS_64BIT', + 'BLAS_SUPPORTS_FPE', + ] + + +class KnownFailureException(Exception): + '''Raise this exception to mark a test as a known failing test.''' + pass + + +KnownFailureTest = KnownFailureException # backwards compat +verbose = 0 + +NUMPY_ROOT = pathlib.Path(np.__file__).parent + +try: + np_dist = importlib.metadata.distribution('numpy') +except importlib.metadata.PackageNotFoundError: + IS_INSTALLED = IS_EDITABLE = False +else: + IS_INSTALLED = True + try: + if sys.version_info >= (3, 13): + IS_EDITABLE = np_dist.origin.dir_info.editable + else: + # Backport importlib.metadata.Distribution.origin + import json # noqa: E401 + import types + origin = json.loads( + np_dist.read_text('direct_url.json') or '{}', + object_hook=lambda data: types.SimpleNamespace(**data), + ) + IS_EDITABLE = origin.dir_info.editable + except AttributeError: + IS_EDITABLE = False + + # spin installs numpy directly via meson, instead of using meson-python, and + # runs the module by setting PYTHONPATH. This is problematic because the + # resulting installation lacks the Python metadata (.dist-info), and numpy + # might already be installed on the environment, causing us to find its + # metadata, even though we are not actually loading that package. + # Work around this issue by checking if the numpy root matches. + if not IS_EDITABLE and np_dist.locate_file('numpy') != NUMPY_ROOT: + IS_INSTALLED = False + +IS_WASM = platform.machine() in ["wasm32", "wasm64"] +IS_PYPY = sys.implementation.name == 'pypy' +IS_PYSTON = hasattr(sys, "pyston_version_info") +HAS_REFCOUNT = getattr(sys, 'getrefcount', None) is not None and not IS_PYSTON +BLAS_SUPPORTS_FPE = np._core._multiarray_umath._blas_supports_fpe(None) + +HAS_LAPACK64 = numpy.linalg._umath_linalg._ilp64 + +IS_MUSL = False +# alternate way is +# from packaging.tags import sys_tags +# _tags = list(sys_tags()) +# if 'musllinux' in _tags[0].platform: +_v = sysconfig.get_config_var('HOST_GNU_TYPE') or '' +if 'musl' in _v: + IS_MUSL = True + +NOGIL_BUILD = bool(sysconfig.get_config_var("Py_GIL_DISABLED")) +IS_64BIT = np.dtype(np.intp).itemsize == 8 + +def assert_(val, msg=''): + """ + Assert that works in release mode. + Accepts callable msg to allow deferring evaluation until failure. + + The Python built-in ``assert`` does not work when executing code in + optimized mode (the ``-O`` flag) - no byte-code is generated for it. + + For documentation on usage, refer to the Python documentation. + + """ + __tracebackhide__ = True # Hide traceback for py.test + if not val: + try: + smsg = msg() + except TypeError: + smsg = msg + raise AssertionError(smsg) + + +if os.name == 'nt': + # Code "stolen" from enthought/debug/memusage.py + def GetPerformanceAttributes(object, counter, instance=None, + inum=-1, format=None, machine=None): + # NOTE: Many counters require 2 samples to give accurate results, + # including "% Processor Time" (as by definition, at any instant, a + # thread's CPU usage is either 0 or 100). To read counters like this, + # you should copy this function, but keep the counter open, and call + # CollectQueryData() each time you need to know. + # See http://msdn.microsoft.com/library/en-us/dnperfmo/html/perfmonpt2.asp + # (dead link) + # My older explanation for this was that the "AddCounter" process + # forced the CPU to 100%, but the above makes more sense :) + import win32pdh + if format is None: + format = win32pdh.PDH_FMT_LONG + path = win32pdh.MakeCounterPath((machine, object, instance, None, + inum, counter)) + hq = win32pdh.OpenQuery() + try: + hc = win32pdh.AddCounter(hq, path) + try: + win32pdh.CollectQueryData(hq) + type, val = win32pdh.GetFormattedCounterValue(hc, format) + return val + finally: + win32pdh.RemoveCounter(hc) + finally: + win32pdh.CloseQuery(hq) + + def memusage(processName="python", instance=0): + # from win32pdhutil, part of the win32all package + import win32pdh + return GetPerformanceAttributes("Process", "Virtual Bytes", + processName, instance, + win32pdh.PDH_FMT_LONG, None) +elif sys.platform[:5] == 'linux': + + def memusage(_proc_pid_stat=None): + """ + Return virtual memory size in bytes of the running python. + + """ + _proc_pid_stat = _proc_pid_stat or f'/proc/{os.getpid()}/stat' + try: + with open(_proc_pid_stat) as f: + l = f.readline().split(' ') + return int(l[22]) + except Exception: + return +else: + def memusage(): + """ + Return memory usage of running python. [Not implemented] + + """ + raise NotImplementedError + + +if sys.platform[:5] == 'linux': + def jiffies(_proc_pid_stat=None, _load_time=None): + """ + Return number of jiffies elapsed. + + Return number of jiffies (1/100ths of a second) that this + process has been scheduled in user mode. See man 5 proc. + + """ + _proc_pid_stat = _proc_pid_stat or f'/proc/{os.getpid()}/stat' + _load_time = _load_time or [] + import time + if not _load_time: + _load_time.append(time.time()) + try: + with open(_proc_pid_stat) as f: + l = f.readline().split(' ') + return int(l[13]) + except Exception: + return int(100 * (time.time() - _load_time[0])) +else: + # os.getpid is not in all platforms available. + # Using time is safe but inaccurate, especially when process + # was suspended or sleeping. + def jiffies(_load_time=[]): + """ + Return number of jiffies elapsed. + + Return number of jiffies (1/100ths of a second) that this + process has been scheduled in user mode. See man 5 proc. + + """ + import time + if not _load_time: + _load_time.append(time.time()) + return int(100 * (time.time() - _load_time[0])) + + +def build_err_msg(arrays, err_msg, header='Items are not equal:', + verbose=True, names=('ACTUAL', 'DESIRED'), precision=8): + msg = ['\n' + header] + err_msg = str(err_msg) + if err_msg: + if err_msg.find('\n') == -1 and len(err_msg) < 79 - len(header): + msg = [msg[0] + ' ' + err_msg] + else: + msg.append(err_msg) + if verbose: + for i, a in enumerate(arrays): + + if isinstance(a, ndarray): + # precision argument is only needed if the objects are ndarrays + r_func = partial(array_repr, precision=precision) + else: + r_func = repr + + try: + r = r_func(a) + except Exception as exc: + r = f'[repr failed for <{type(a).__name__}>: {exc}]' + if r.count('\n') > 3: + r = '\n'.join(r.splitlines()[:3]) + r += '...' + msg.append(f' {names[i]}: {r}') + return '\n'.join(msg) + + +def assert_equal(actual, desired, err_msg='', verbose=True, *, strict=False): + """ + Raises an AssertionError if two objects are not equal. + + Given two objects (scalars, lists, tuples, dictionaries or numpy arrays), + check that all elements of these objects are equal. An exception is raised + at the first conflicting values. + + This function handles NaN comparisons as if NaN was a "normal" number. + That is, AssertionError is not raised if both objects have NaNs in the same + positions. This is in contrast to the IEEE standard on NaNs, which says + that NaN compared to anything must return False. + + Parameters + ---------- + actual : array_like + The object to check. + desired : array_like + The expected object. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + strict : bool, optional + If True and either of the `actual` and `desired` arguments is an array, + raise an ``AssertionError`` when either the shape or the data type of + the arguments does not match. If neither argument is an array, this + parameter has no effect. + + .. versionadded:: 2.0.0 + + Raises + ------ + AssertionError + If actual and desired are not equal. + + See Also + -------- + assert_allclose + assert_array_almost_equal_nulp, + assert_array_max_ulp, + + Notes + ----- + When one of `actual` and `desired` is a scalar and the other is array_like, the + function checks that each element of the array_like is equal to the scalar. + Note that empty arrays are therefore considered equal to scalars. + This behaviour can be disabled by setting ``strict==True``. + + Examples + -------- + >>> np.testing.assert_equal([4, 5], [4, 6]) + Traceback (most recent call last): + ... + AssertionError: + Items are not equal: + item=1 + ACTUAL: 5 + DESIRED: 6 + + The following comparison does not raise an exception. There are NaNs + in the inputs, but they are in the same positions. + + >>> np.testing.assert_equal(np.array([1.0, 2.0, np.nan]), [1, 2, np.nan]) + + As mentioned in the Notes section, `assert_equal` has special + handling for scalars when one of the arguments is an array. + Here, the test checks that each value in `x` is 3: + + >>> x = np.full((2, 5), fill_value=3) + >>> np.testing.assert_equal(x, 3) + + Use `strict` to raise an AssertionError when comparing a scalar with an + array of a different shape: + + >>> np.testing.assert_equal(x, 3, strict=True) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not equal + + (shapes (2, 5), () mismatch) + ACTUAL: array([[3, 3, 3, 3, 3], + [3, 3, 3, 3, 3]]) + DESIRED: array(3) + + The `strict` parameter also ensures that the array data types match: + + >>> x = np.array([2, 2, 2]) + >>> y = np.array([2., 2., 2.], dtype=np.float32) + >>> np.testing.assert_equal(x, y, strict=True) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not equal + + (dtypes int64, float32 mismatch) + ACTUAL: array([2, 2, 2]) + DESIRED: array([2., 2., 2.], dtype=float32) + """ + __tracebackhide__ = True # Hide traceback for py.test + if isinstance(desired, dict): + if not isinstance(actual, dict): + raise AssertionError(repr(type(actual))) + assert_equal(len(actual), len(desired), err_msg, verbose) + for k in desired: + if k not in actual: + raise AssertionError(repr(k)) + assert_equal(actual[k], desired[k], f'key={k!r}\n{err_msg}', + verbose) + return + if isinstance(desired, (list, tuple)) and isinstance(actual, (list, tuple)): + assert_equal(len(actual), len(desired), err_msg, verbose) + for k in range(len(desired)): + assert_equal(actual[k], desired[k], f'item={k!r}\n{err_msg}', + verbose) + return + from numpy import imag, iscomplexobj, real + from numpy._core import isscalar, ndarray, signbit + if isinstance(actual, ndarray) or isinstance(desired, ndarray): + return assert_array_equal(actual, desired, err_msg, verbose, + strict=strict) + msg = build_err_msg([actual, desired], err_msg, verbose=verbose) + + # Handle complex numbers: separate into real/imag to handle + # nan/inf/negative zero correctly + # XXX: catch ValueError for subclasses of ndarray where iscomplex fail + try: + usecomplex = iscomplexobj(actual) or iscomplexobj(desired) + except (ValueError, TypeError): + usecomplex = False + + if usecomplex: + if iscomplexobj(actual): + actualr = real(actual) + actuali = imag(actual) + else: + actualr = actual + actuali = 0 + if iscomplexobj(desired): + desiredr = real(desired) + desiredi = imag(desired) + else: + desiredr = desired + desiredi = 0 + try: + assert_equal(actualr, desiredr) + assert_equal(actuali, desiredi) + except AssertionError: + raise AssertionError(msg) + + # isscalar test to check cases such as [np.nan] != np.nan + if isscalar(desired) != isscalar(actual): + raise AssertionError(msg) + + try: + isdesnat = isnat(desired) + isactnat = isnat(actual) + dtypes_match = (np.asarray(desired).dtype.type == + np.asarray(actual).dtype.type) + if isdesnat and isactnat: + # If both are NaT (and have the same dtype -- datetime or + # timedelta) they are considered equal. + if dtypes_match: + return + else: + raise AssertionError(msg) + + except (TypeError, ValueError, NotImplementedError): + pass + + # Inf/nan/negative zero handling + try: + isdesnan = isnan(desired) + isactnan = isnan(actual) + if isdesnan and isactnan: + return # both nan, so equal + + # handle signed zero specially for floats + array_actual = np.asarray(actual) + array_desired = np.asarray(desired) + if (array_actual.dtype.char in 'Mm' or + array_desired.dtype.char in 'Mm'): + # version 1.18 + # until this version, isnan failed for datetime64 and timedelta64. + # Now it succeeds but comparison to scalar with a different type + # emits a DeprecationWarning. + # Avoid that by skipping the next check + raise NotImplementedError('cannot compare to a scalar ' + 'with a different type') + + if desired == 0 and actual == 0: + if not signbit(desired) == signbit(actual): + raise AssertionError(msg) + + except (TypeError, ValueError, NotImplementedError): + pass + + try: + # Explicitly use __eq__ for comparison, gh-2552 + if not (desired == actual): + raise AssertionError(msg) + + except (DeprecationWarning, FutureWarning) as e: + # this handles the case when the two types are not even comparable + if 'elementwise == comparison' in e.args[0]: + raise AssertionError(msg) + else: + raise + + +def print_assert_equal(test_string, actual, desired): + """ + Test if two objects are equal, and print an error message if test fails. + + The test is performed with ``actual == desired``. + + Parameters + ---------- + test_string : str + The message supplied to AssertionError. + actual : object + The object to test for equality against `desired`. + desired : object + The expected result. + + Examples + -------- + >>> np.testing.print_assert_equal('Test XYZ of func xyz', [0, 1], [0, 1]) + >>> np.testing.print_assert_equal('Test XYZ of func xyz', [0, 1], [0, 2]) + Traceback (most recent call last): + ... + AssertionError: Test XYZ of func xyz failed + ACTUAL: + [0, 1] + DESIRED: + [0, 2] + + """ + __tracebackhide__ = True # Hide traceback for py.test + import pprint + + if not (actual == desired): + msg = StringIO() + msg.write(test_string) + msg.write(' failed\nACTUAL: \n') + pprint.pprint(actual, msg) + msg.write('DESIRED: \n') + pprint.pprint(desired, msg) + raise AssertionError(msg.getvalue()) + + +def assert_almost_equal(actual, desired, decimal=7, err_msg='', verbose=True): + """ + Raises an AssertionError if two items are not equal up to desired + precision. + + .. note:: It is recommended to use one of `assert_allclose`, + `assert_array_almost_equal_nulp` or `assert_array_max_ulp` + instead of this function for more consistent floating point + comparisons. + + The test verifies that the elements of `actual` and `desired` satisfy:: + + abs(desired-actual) < float64(1.5 * 10**(-decimal)) + + That is a looser test than originally documented, but agrees with what the + actual implementation in `assert_array_almost_equal` did up to rounding + vagaries. An exception is raised at conflicting values. For ndarrays this + delegates to assert_array_almost_equal + + Parameters + ---------- + actual : array_like + The object to check. + desired : array_like + The expected object. + decimal : int, optional + Desired precision, default is 7. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + + Raises + ------ + AssertionError + If actual and desired are not equal up to specified precision. + + See Also + -------- + assert_allclose: Compare two array_like objects for equality with desired + relative and/or absolute precision. + assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal + + Examples + -------- + >>> from numpy.testing import assert_almost_equal + >>> assert_almost_equal(2.3333333333333, 2.33333334) + >>> assert_almost_equal(2.3333333333333, 2.33333334, decimal=10) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not almost equal to 10 decimals + ACTUAL: 2.3333333333333 + DESIRED: 2.33333334 + + >>> assert_almost_equal(np.array([1.0,2.3333333333333]), + ... np.array([1.0,2.33333334]), decimal=9) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not almost equal to 9 decimals + + Mismatched elements: 1 / 2 (50%) + Mismatch at index: + [1]: 2.3333333333333 (ACTUAL), 2.33333334 (DESIRED) + Max absolute difference among violations: 6.66669964e-09 + Max relative difference among violations: 2.85715698e-09 + ACTUAL: array([1. , 2.333333333]) + DESIRED: array([1. , 2.33333334]) + + """ + __tracebackhide__ = True # Hide traceback for py.test + from numpy import imag, iscomplexobj, real + from numpy._core import ndarray + + # Handle complex numbers: separate into real/imag to handle + # nan/inf/negative zero correctly + # XXX: catch ValueError for subclasses of ndarray where iscomplex fail + try: + usecomplex = iscomplexobj(actual) or iscomplexobj(desired) + except ValueError: + usecomplex = False + + def _build_err_msg(): + header = ('Arrays are not almost equal to %d decimals' % decimal) + return build_err_msg([actual, desired], err_msg, verbose=verbose, + header=header) + + if usecomplex: + if iscomplexobj(actual): + actualr = real(actual) + actuali = imag(actual) + else: + actualr = actual + actuali = 0 + if iscomplexobj(desired): + desiredr = real(desired) + desiredi = imag(desired) + else: + desiredr = desired + desiredi = 0 + try: + assert_almost_equal(actualr, desiredr, decimal=decimal) + assert_almost_equal(actuali, desiredi, decimal=decimal) + except AssertionError: + raise AssertionError(_build_err_msg()) + + if isinstance(actual, (ndarray, tuple, list)) \ + or isinstance(desired, (ndarray, tuple, list)): + return assert_array_almost_equal(actual, desired, decimal, err_msg) + try: + # If one of desired/actual is not finite, handle it specially here: + # check that both are nan if any is a nan, and test for equality + # otherwise + if not (isfinite(desired) and isfinite(actual)): + if isnan(desired) or isnan(actual): + if not (isnan(desired) and isnan(actual)): + raise AssertionError(_build_err_msg()) + elif not desired == actual: + raise AssertionError(_build_err_msg()) + return + except (NotImplementedError, TypeError): + pass + if abs(desired - actual) >= np.float64(1.5 * 10.0**(-decimal)): + raise AssertionError(_build_err_msg()) + + +def assert_approx_equal(actual, desired, significant=7, err_msg='', + verbose=True): + """ + Raises an AssertionError if two items are not equal up to significant + digits. + + .. note:: It is recommended to use one of `assert_allclose`, + `assert_array_almost_equal_nulp` or `assert_array_max_ulp` + instead of this function for more consistent floating point + comparisons. + + Given two numbers, check that they are approximately equal. + Approximately equal is defined as the number of significant digits + that agree. + + Parameters + ---------- + actual : scalar + The object to check. + desired : scalar + The expected object. + significant : int, optional + Desired precision, default is 7. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + + Raises + ------ + AssertionError + If actual and desired are not equal up to specified precision. + + See Also + -------- + assert_allclose: Compare two array_like objects for equality with desired + relative and/or absolute precision. + assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal + + Examples + -------- + >>> np.testing.assert_approx_equal(0.12345677777777e-20, 0.1234567e-20) + >>> np.testing.assert_approx_equal(0.12345670e-20, 0.12345671e-20, + ... significant=8) + >>> np.testing.assert_approx_equal(0.12345670e-20, 0.12345672e-20, + ... significant=8) + Traceback (most recent call last): + ... + AssertionError: + Items are not equal to 8 significant digits: + ACTUAL: 1.234567e-21 + DESIRED: 1.2345672e-21 + + the evaluated condition that raises the exception is + + >>> abs(0.12345670e-20/1e-21 - 0.12345672e-20/1e-21) >= 10**-(8-1) + True + + """ + __tracebackhide__ = True # Hide traceback for py.test + import numpy as np + + (actual, desired) = map(float, (actual, desired)) + if desired == actual: + return + # Normalized the numbers to be in range (-10.0,10.0) + # scale = float(pow(10,math.floor(math.log10(0.5*(abs(desired)+abs(actual)))))) + with np.errstate(invalid='ignore'): + scale = 0.5 * (np.abs(desired) + np.abs(actual)) + scale = np.power(10, np.floor(np.log10(scale))) + try: + sc_desired = desired / scale + except ZeroDivisionError: + sc_desired = 0.0 + try: + sc_actual = actual / scale + except ZeroDivisionError: + sc_actual = 0.0 + msg = build_err_msg( + [actual, desired], err_msg, + header='Items are not equal to %d significant digits:' % significant, + verbose=verbose) + try: + # If one of desired/actual is not finite, handle it specially here: + # check that both are nan if any is a nan, and test for equality + # otherwise + if not (isfinite(desired) and isfinite(actual)): + if isnan(desired) or isnan(actual): + if not (isnan(desired) and isnan(actual)): + raise AssertionError(msg) + elif not desired == actual: + raise AssertionError(msg) + return + except (TypeError, NotImplementedError): + pass + if np.abs(sc_desired - sc_actual) >= np.power(10., -(significant - 1)): + raise AssertionError(msg) + + +def assert_array_compare(comparison, x, y, err_msg='', verbose=True, header='', + precision=6, equal_nan=True, equal_inf=True, + *, strict=False, names=('ACTUAL', 'DESIRED')): + __tracebackhide__ = True # Hide traceback for py.test + from numpy._core import all, array2string, errstate, inf, isnan, max, object_ + + x = np.asanyarray(x) + y = np.asanyarray(y) + + # original array for output formatting + ox, oy = x, y + + def isnumber(x): + return type(x.dtype)._is_numeric + + def istime(x): + return x.dtype.char in "Mm" + + def isvstring(x): + return x.dtype.char == "T" + + def robust_any_difference(x, y): + # We include work-arounds here to handle three types of slightly + # pathological ndarray subclasses: + # (1) all() on fully masked arrays returns np.ma.masked, so we use != True + # (np.ma.masked != True evaluates as np.ma.masked, which is falsy). + # (2) __eq__ on some ndarray subclasses returns Python booleans + # instead of element-wise comparisons, so we cast to np.bool() in + # that case (or in case __eq__ returns some other value with no + # all() method). + # (3) subclasses with bare-bones __array_function__ implementations may + # not implement np.all(), so favor using the .all() method + # We are not committed to supporting cases (2) and (3), but it's nice to + # support them if possible. + result = x == y + if not hasattr(result, "all") or not callable(result.all): + result = np.bool(result) + return result.all() != True + + def func_assert_same_pos(x, y, func=isnan, hasval='nan'): + """Handling nan/inf. + + Combine results of running func on x and y, checking that they are True + at the same locations. + + """ + __tracebackhide__ = True # Hide traceback for py.test + + x_id = func(x) + y_id = func(y) + if robust_any_difference(x_id, y_id): + msg = build_err_msg( + [x, y], + err_msg + '\n%s location mismatch:' + % (hasval), verbose=verbose, header=header, + names=names, + precision=precision) + raise AssertionError(msg) + # If there is a scalar, then here we know the array has the same + # flag as it everywhere, so we should return the scalar flag. + # np.ma.masked is also handled and converted to np.False_ (even if the other + # array has nans/infs etc.; that's OK given the handling later of fully-masked + # results). + if isinstance(x_id, bool) or x_id.ndim == 0: + return np.bool(x_id) + elif isinstance(y_id, bool) or y_id.ndim == 0: + return np.bool(y_id) + else: + return y_id + + def assert_same_inf_values(x, y, infs_mask): + """ + Verify all inf values match in the two arrays + """ + __tracebackhide__ = True # Hide traceback for py.test + + if not infs_mask.any(): + return + if x.ndim > 0 and y.ndim > 0: + x = x[infs_mask] + y = y[infs_mask] + else: + assert infs_mask.all() + + if robust_any_difference(x, y): + msg = build_err_msg( + [x, y], + err_msg + '\ninf values mismatch:', + verbose=verbose, header=header, + names=names, + precision=precision) + raise AssertionError(msg) + + try: + if strict: + cond = x.shape == y.shape and x.dtype == y.dtype + else: + cond = (x.shape == () or y.shape == ()) or x.shape == y.shape + if not cond: + if x.shape != y.shape: + reason = f'\n(shapes {x.shape}, {y.shape} mismatch)' + else: + reason = f'\n(dtypes {x.dtype}, {y.dtype} mismatch)' + msg = build_err_msg([x, y], + err_msg + + reason, + verbose=verbose, header=header, + names=names, + precision=precision) + raise AssertionError(msg) + + flagged = np.bool(False) + if isnumber(x) and isnumber(y): + if equal_nan: + flagged = func_assert_same_pos(x, y, func=isnan, hasval='nan') + + if equal_inf: + # If equal_nan=True, skip comparing nans below for equality if they are + # also infs (e.g. inf+nanj) since that would always fail. + isinf_func = lambda xy: np.logical_and(np.isinf(xy), np.invert(flagged)) + infs_mask = func_assert_same_pos( + x, y, + func=isinf_func, + hasval='inf') + assert_same_inf_values(x, y, infs_mask) + flagged |= infs_mask + + elif istime(x) and istime(y): + # If one is datetime64 and the other timedelta64 there is no point + if equal_nan and x.dtype.type == y.dtype.type: + flagged = func_assert_same_pos(x, y, func=isnat, hasval="NaT") + + elif isvstring(x) and isvstring(y): + dt = x.dtype + if equal_nan and dt == y.dtype and hasattr(dt, 'na_object'): + is_nan = (isinstance(dt.na_object, float) and + np.isnan(dt.na_object)) + bool_errors = 0 + try: + bool(dt.na_object) + except TypeError: + bool_errors = 1 + if is_nan or bool_errors: + # nan-like NA object + flagged = func_assert_same_pos( + x, y, func=isnan, hasval=x.dtype.na_object) + + if flagged.ndim > 0: + x, y = x[~flagged], y[~flagged] + # Only do the comparison if actual values are left + if x.size == 0: + return + elif flagged: + # no sense doing comparison if everything is flagged. + return + + val = comparison(x, y) + invalids = np.logical_not(val) + + if isinstance(val, bool): + cond = val + reduced = array([val]) + else: + reduced = val.ravel() + cond = reduced.all() + + # The below comparison is a hack to ensure that fully masked + # results, for which val.ravel().all() returns np.ma.masked, + # do not trigger a failure (np.ma.masked != True evaluates as + # np.ma.masked, which is falsy). + if cond != True: + n_mismatch = reduced.size - reduced.sum(dtype=intp) + n_elements = flagged.size if flagged.ndim != 0 else reduced.size + percent_mismatch = 100 * n_mismatch / n_elements + remarks = [f'Mismatched elements: {n_mismatch} / {n_elements} ' + f'({percent_mismatch:.3g}%)'] + if invalids.ndim != 0: + if flagged.ndim > 0: + positions = np.argwhere(np.asarray(~flagged))[invalids] + else: + positions = np.argwhere(np.asarray(invalids)) + s = "\n".join( + [ + f" {p.tolist()}: {ox if ox.ndim == 0 else ox[tuple(p)]} " + f"({names[0]}), {oy if oy.ndim == 0 else oy[tuple(p)]} " + f"({names[1]})" + for p in positions[:5] + ] + ) + if len(positions) == 1: + remarks.append( + f"Mismatch at index:\n{s}" + ) + elif len(positions) <= 5: + remarks.append( + f"Mismatch at indices:\n{s}" + ) + else: + remarks.append( + f"First 5 mismatches are at indices:\n{s}" + ) + + with errstate(all='ignore'): + # ignore errors for non-numeric types + with contextlib.suppress(TypeError): + error = abs(x - y) + if np.issubdtype(x.dtype, np.unsignedinteger): + error2 = abs(y - x) + np.minimum(error, error2, out=error) + + reduced_error = error[invalids] + max_abs_error = max(reduced_error) + if getattr(error, 'dtype', object_) == object_: + remarks.append( + 'Max absolute difference among violations: ' + + str(max_abs_error)) + else: + remarks.append( + 'Max absolute difference among violations: ' + + array2string(max_abs_error)) + + # note: this definition of relative error matches that one + # used by assert_allclose (found in np.isclose) + # Filter values where the divisor would be zero + nonzero = np.bool(y != 0) + nonzero_and_invalid = np.logical_and(invalids, nonzero) + + if all(~nonzero_and_invalid): + max_rel_error = array(inf) + else: + nonzero_invalid_error = error[nonzero_and_invalid] + broadcasted_y = np.broadcast_to(y, error.shape) + nonzero_invalid_y = broadcasted_y[nonzero_and_invalid] + max_rel_error = max(nonzero_invalid_error + / abs(nonzero_invalid_y)) + + if getattr(error, 'dtype', object_) == object_: + remarks.append( + 'Max relative difference among violations: ' + + str(max_rel_error)) + else: + remarks.append( + 'Max relative difference among violations: ' + + array2string(max_rel_error)) + err_msg = str(err_msg) + err_msg += '\n' + '\n'.join(remarks) + msg = build_err_msg([ox, oy], err_msg, + verbose=verbose, header=header, + names=names, + precision=precision) + raise AssertionError(msg) + except ValueError: + import traceback + efmt = traceback.format_exc() + header = f'error during assertion:\n\n{efmt}\n\n{header}' + + msg = build_err_msg([x, y], err_msg, verbose=verbose, header=header, + names=names, precision=precision) + raise ValueError(msg) + + +def assert_array_equal(actual, desired, err_msg='', verbose=True, *, + strict=False): + """ + Raises an AssertionError if two array_like objects are not equal. + + Given two array_like objects, check that the shape is equal and all + elements of these objects are equal (but see the Notes for the special + handling of a scalar). An exception is raised at shape mismatch or + conflicting values. In contrast to the standard usage in numpy, NaNs + are compared like numbers, no assertion is raised if both objects have + NaNs in the same positions. + + The usual caution for verifying equality with floating point numbers is + advised. + + .. note:: When either `actual` or `desired` is already an instance of + `numpy.ndarray` and `desired` is not a ``dict``, the behavior of + ``assert_equal(actual, desired)`` is identical to the behavior of this + function. Otherwise, this function performs `np.asanyarray` on the + inputs before comparison, whereas `assert_equal` defines special + comparison rules for common Python types. For example, only + `assert_equal` can be used to compare nested Python lists. In new code, + consider using only `assert_equal`, explicitly converting either + `actual` or `desired` to arrays if the behavior of `assert_array_equal` + is desired. + + Parameters + ---------- + actual : array_like + The actual object to check. + desired : array_like + The desired, expected object. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + strict : bool, optional + If True, raise an AssertionError when either the shape or the data + type of the array_like objects does not match. The special + handling for scalars mentioned in the Notes section is disabled. + + .. versionadded:: 1.24.0 + + Raises + ------ + AssertionError + If actual and desired objects are not equal. + + See Also + -------- + assert_allclose: Compare two array_like objects for equality with desired + relative and/or absolute precision. + assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal + + Notes + ----- + When one of `actual` and `desired` is a scalar and the other is array_like, the + function checks that each element of the array_like is equal to the scalar. + Note that empty arrays are therefore considered equal to scalars. + This behaviour can be disabled by setting ``strict==True``. + + Examples + -------- + The first assert does not raise an exception: + + >>> np.testing.assert_array_equal([1.0,2.33333,np.nan], + ... [np.exp(0),2.33333, np.nan]) + + Assert fails with numerical imprecision with floats: + + >>> np.testing.assert_array_equal([1.0,np.pi,np.nan], + ... [1, np.sqrt(np.pi)**2, np.nan]) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not equal + + Mismatched elements: 1 / 3 (33.3%) + Mismatch at index: + [1]: 3.141592653589793 (ACTUAL), 3.1415926535897927 (DESIRED) + Max absolute difference among violations: 4.4408921e-16 + Max relative difference among violations: 1.41357986e-16 + ACTUAL: array([1. , 3.141593, nan]) + DESIRED: array([1. , 3.141593, nan]) + + Use `assert_allclose` or one of the nulp (number of floating point values) + functions for these cases instead: + + >>> np.testing.assert_allclose([1.0,np.pi,np.nan], + ... [1, np.sqrt(np.pi)**2, np.nan], + ... rtol=1e-10, atol=0) + + As mentioned in the Notes section, `assert_array_equal` has special + handling for scalars. Here the test checks that each value in `x` is 3: + + >>> x = np.full((2, 5), fill_value=3) + >>> np.testing.assert_array_equal(x, 3) + + Use `strict` to raise an AssertionError when comparing a scalar with an + array: + + >>> np.testing.assert_array_equal(x, 3, strict=True) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not equal + + (shapes (2, 5), () mismatch) + ACTUAL: array([[3, 3, 3, 3, 3], + [3, 3, 3, 3, 3]]) + DESIRED: array(3) + + The `strict` parameter also ensures that the array data types match: + + >>> x = np.array([2, 2, 2]) + >>> y = np.array([2., 2., 2.], dtype=np.float32) + >>> np.testing.assert_array_equal(x, y, strict=True) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not equal + + (dtypes int64, float32 mismatch) + ACTUAL: array([2, 2, 2]) + DESIRED: array([2., 2., 2.], dtype=float32) + """ + __tracebackhide__ = True # Hide traceback for py.test + assert_array_compare(operator.__eq__, actual, desired, err_msg=err_msg, + verbose=verbose, header='Arrays are not equal', + strict=strict) + + +def assert_array_almost_equal(actual, desired, decimal=6, err_msg='', + verbose=True): + """ + Raises an AssertionError if two objects are not equal up to desired + precision. + + .. note:: It is recommended to use one of `assert_allclose`, + `assert_array_almost_equal_nulp` or `assert_array_max_ulp` + instead of this function for more consistent floating point + comparisons. + + The test verifies identical shapes and that the elements of ``actual`` and + ``desired`` satisfy:: + + abs(desired-actual) < 1.5 * 10**(-decimal) + + That is a looser test than originally documented, but agrees with what the + actual implementation did up to rounding vagaries. An exception is raised + at shape mismatch or conflicting values. In contrast to the standard usage + in numpy, NaNs are compared like numbers, no assertion is raised if both + objects have NaNs in the same positions. + + Parameters + ---------- + actual : array_like + The actual object to check. + desired : array_like + The desired, expected object. + decimal : int, optional + Desired precision, default is 6. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + + Raises + ------ + AssertionError + If actual and desired are not equal up to specified precision. + + See Also + -------- + assert_allclose: Compare two array_like objects for equality with desired + relative and/or absolute precision. + assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal + + Examples + -------- + the first assert does not raise an exception + + >>> np.testing.assert_array_almost_equal([1.0,2.333,np.nan], + ... [1.0,2.333,np.nan]) + + >>> np.testing.assert_array_almost_equal([1.0,2.33333,np.nan], + ... [1.0,2.33339,np.nan], decimal=5) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not almost equal to 5 decimals + + Mismatched elements: 1 / 3 (33.3%) + Mismatch at index: + [1]: 2.33333 (ACTUAL), 2.33339 (DESIRED) + Max absolute difference among violations: 6.e-05 + Max relative difference among violations: 2.57136612e-05 + ACTUAL: array([1. , 2.33333, nan]) + DESIRED: array([1. , 2.33339, nan]) + + >>> np.testing.assert_array_almost_equal([1.0,2.33333,np.nan], + ... [1.0,2.33333, 5], decimal=5) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not almost equal to 5 decimals + + nan location mismatch: + ACTUAL: array([1. , 2.33333, nan]) + DESIRED: array([1. , 2.33333, 5. ]) + + """ + __tracebackhide__ = True # Hide traceback for py.test + from numpy._core import number, result_type + from numpy._core.numerictypes import issubdtype + + def compare(x, y): + # make sure y is an inexact type to avoid abs(MIN_INT); will cause + # casting of x later. + dtype = result_type(y, 1.) + y = np.asanyarray(y, dtype) + z = abs(x - y) + + if not issubdtype(z.dtype, number): + z = z.astype(np.float64) # handle object arrays + + return z < 1.5 * 10.0**(-decimal) + + assert_array_compare(compare, actual, desired, err_msg=err_msg, + verbose=verbose, + header=('Arrays are not almost equal to %d decimals' % decimal), + precision=decimal) + + +def assert_array_less(x, y, err_msg='', verbose=True, *, strict=False): + """ + Raises an AssertionError if two array_like objects are not ordered by less + than. + + Given two array_like objects `x` and `y`, check that the shape is equal and + all elements of `x` are strictly less than the corresponding elements of + `y` (but see the Notes for the special handling of a scalar). An exception + is raised at shape mismatch or values that are not correctly ordered. In + contrast to the standard usage in NumPy, no assertion is raised if both + objects have NaNs in the same positions. + + Parameters + ---------- + x : array_like + The smaller object to check. + y : array_like + The larger object to compare. + err_msg : string + The error message to be printed in case of failure. + verbose : bool + If True, the conflicting values are appended to the error message. + strict : bool, optional + If True, raise an AssertionError when either the shape or the data + type of the array_like objects does not match. The special + handling for scalars mentioned in the Notes section is disabled. + + .. versionadded:: 2.0.0 + + Raises + ------ + AssertionError + If x is not strictly smaller than y, element-wise. + + See Also + -------- + assert_array_equal: tests objects for equality + assert_array_almost_equal: test objects for equality up to precision + + Notes + ----- + When one of `x` and `y` is a scalar and the other is array_like, the + function performs the comparison as though the scalar were broadcasted + to the shape of the array. This behaviour can be disabled with the `strict` + parameter. + + Examples + -------- + The following assertion passes because each finite element of `x` is + strictly less than the corresponding element of `y`, and the NaNs are in + corresponding locations. + + >>> x = [1.0, 1.0, np.nan] + >>> y = [1.1, 2.0, np.nan] + >>> np.testing.assert_array_less(x, y) + + The following assertion fails because the zeroth element of `x` is no + longer strictly less than the zeroth element of `y`. + + >>> y[0] = 1 + >>> np.testing.assert_array_less(x, y) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not strictly ordered `x < y` + + Mismatched elements: 1 / 3 (33.3%) + Mismatch at index: + [0]: 1.0 (x), 1.0 (y) + Max absolute difference among violations: 0. + Max relative difference among violations: 0. + x: array([ 1., 1., nan]) + y: array([ 1., 2., nan]) + + Here, `y` is a scalar, so each element of `x` is compared to `y`, and + the assertion passes. + + >>> x = [1.0, 4.0] + >>> y = 5.0 + >>> np.testing.assert_array_less(x, y) + + However, with ``strict=True``, the assertion will fail because the shapes + do not match. + + >>> np.testing.assert_array_less(x, y, strict=True) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not strictly ordered `x < y` + + (shapes (2,), () mismatch) + x: array([1., 4.]) + y: array(5.) + + With ``strict=True``, the assertion also fails if the dtypes of the two + arrays do not match. + + >>> y = [5, 5] + >>> np.testing.assert_array_less(x, y, strict=True) + Traceback (most recent call last): + ... + AssertionError: + Arrays are not strictly ordered `x < y` + + (dtypes float64, int64 mismatch) + x: array([1., 4.]) + y: array([5, 5]) + """ + __tracebackhide__ = True # Hide traceback for py.test + assert_array_compare(operator.__lt__, x, y, err_msg=err_msg, + verbose=verbose, + header='Arrays are not strictly ordered `x < y`', + equal_inf=False, + strict=strict, + names=('x', 'y')) + + +def runstring(astr, dict): + exec(astr, dict) + + +def assert_string_equal(actual, desired): + """ + Test if two strings are equal. + + If the given strings are equal, `assert_string_equal` does nothing. + If they are not equal, an AssertionError is raised, and the diff + between the strings is shown. + + Parameters + ---------- + actual : str + The string to test for equality against the expected string. + desired : str + The expected string. + + Examples + -------- + >>> np.testing.assert_string_equal('abc', 'abc') + >>> np.testing.assert_string_equal('abc', 'abcd') + Traceback (most recent call last): + File "", line 1, in + ... + AssertionError: Differences in strings: + - abc+ abcd? + + + """ + # delay import of difflib to reduce startup time + __tracebackhide__ = True # Hide traceback for py.test + import difflib + + if not isinstance(actual, str): + raise AssertionError(repr(type(actual))) + if not isinstance(desired, str): + raise AssertionError(repr(type(desired))) + if desired == actual: + return + + diff = list(difflib.Differ().compare(actual.splitlines(True), + desired.splitlines(True))) + diff_list = [] + while diff: + d1 = diff.pop(0) + if d1.startswith(' '): + continue + if d1.startswith('- '): + l = [d1] + d2 = diff.pop(0) + if d2.startswith('? '): + l.append(d2) + d2 = diff.pop(0) + if not d2.startswith('+ '): + raise AssertionError(repr(d2)) + l.append(d2) + if diff: + d3 = diff.pop(0) + if d3.startswith('? '): + l.append(d3) + else: + diff.insert(0, d3) + if d2[2:] == d1[2:]: + continue + diff_list.extend(l) + continue + raise AssertionError(repr(d1)) + if not diff_list: + return + msg = f"Differences in strings:\n{''.join(diff_list).rstrip()}" + if actual != desired: + raise AssertionError(msg) + + +def rundocs(filename=None, raise_on_error=True): + """ + Run doctests found in the given file. + + By default `rundocs` raises an AssertionError on failure. + + Parameters + ---------- + filename : str + The path to the file for which the doctests are run. + raise_on_error : bool + Whether to raise an AssertionError when a doctest fails. Default is + True. + + Notes + ----- + The doctests can be run by the user/developer by adding the ``doctests`` + argument to the ``test()`` call. For example, to run all tests (including + doctests) for ``numpy.lib``: + + >>> np.lib.test(doctests=True) # doctest: +SKIP + """ + import doctest + + from numpy.distutils.misc_util import exec_mod_from_location + if filename is None: + f = sys._getframe(1) + filename = f.f_globals['__file__'] + name = os.path.splitext(os.path.basename(filename))[0] + m = exec_mod_from_location(name, filename) + + tests = doctest.DocTestFinder().find(m) + runner = doctest.DocTestRunner(verbose=False) + + msg = [] + if raise_on_error: + out = msg.append + else: + out = None + + for test in tests: + runner.run(test, out=out) + + if runner.failures > 0 and raise_on_error: + raise AssertionError("Some doctests failed:\n%s" % "\n".join(msg)) + + +def check_support_sve(__cache=[]): + """ + gh-22982 + """ + + if __cache: + return __cache[0] + + import subprocess + cmd = 'lscpu' + try: + output = subprocess.run(cmd, capture_output=True, text=True) + result = 'sve' in output.stdout + except (OSError, subprocess.SubprocessError): + result = False + __cache.append(result) + return __cache[0] + + +# +# assert_raises and assert_raises_regex are taken from unittest. +# +import unittest + + +class _Dummy(unittest.TestCase): + def nop(self): + pass + + +_d = _Dummy('nop') + + +def assert_raises(*args, **kwargs): + """ + assert_raises(exception_class, callable, *args, **kwargs) + assert_raises(exception_class) + + Fail unless an exception of class exception_class is thrown + by callable when invoked with arguments args and keyword + arguments kwargs. If a different type of exception is + thrown, it will not be caught, and the test case will be + deemed to have suffered an error, exactly as for an + unexpected exception. + + Alternatively, `assert_raises` can be used as a context manager: + + >>> from numpy.testing import assert_raises + >>> with assert_raises(ZeroDivisionError): + ... 1 / 0 + + is equivalent to + + >>> def div(x, y): + ... return x / y + >>> assert_raises(ZeroDivisionError, div, 1, 0) + + """ + __tracebackhide__ = True # Hide traceback for py.test + return _d.assertRaises(*args, **kwargs) + + +def assert_raises_regex(exception_class, expected_regexp, *args, **kwargs): + """ + assert_raises_regex(exception_class, expected_regexp, callable, *args, + **kwargs) + assert_raises_regex(exception_class, expected_regexp) + + Fail unless an exception of class exception_class and with message that + matches expected_regexp is thrown by callable when invoked with arguments + args and keyword arguments kwargs. + + Alternatively, can be used as a context manager like `assert_raises`. + """ + __tracebackhide__ = True # Hide traceback for py.test + return _d.assertRaisesRegex(exception_class, expected_regexp, *args, **kwargs) + + +def decorate_methods(cls, decorator, testmatch=None): + """ + Apply a decorator to all methods in a class matching a regular expression. + + The given decorator is applied to all public methods of `cls` that are + matched by the regular expression `testmatch` + (``testmatch.search(methodname)``). Methods that are private, i.e. start + with an underscore, are ignored. + + Parameters + ---------- + cls : class + Class whose methods to decorate. + decorator : function + Decorator to apply to methods + testmatch : compiled regexp or str, optional + The regular expression. Default value is None, in which case the + nose default (``re.compile(r'(?:^|[\\b_\\.%s-])[Tt]est' % os.sep)``) + is used. + If `testmatch` is a string, it is compiled to a regular expression + first. + + """ + if testmatch is None: + testmatch = re.compile(r'(?:^|[\\b_\\.%s-])[Tt]est' % os.sep) + else: + testmatch = re.compile(testmatch) + cls_attr = cls.__dict__ + + # delayed import to reduce startup time + from inspect import isfunction + + methods = [_m for _m in cls_attr.values() if isfunction(_m)] + for function in methods: + try: + if hasattr(function, 'compat_func_name'): + funcname = function.compat_func_name + else: + funcname = function.__name__ + except AttributeError: + # not a function + continue + if testmatch.search(funcname) and not funcname.startswith('_'): + setattr(cls, funcname, decorator(function)) + + +def measure(code_str, times=1, label=None): + """ + Return elapsed time for executing code in the namespace of the caller. + + The supplied code string is compiled with the Python builtin ``compile``. + The precision of the timing is 10 milli-seconds. If the code will execute + fast on this timescale, it can be executed many times to get reasonable + timing accuracy. + + Parameters + ---------- + code_str : str + The code to be timed. + times : int, optional + The number of times the code is executed. Default is 1. The code is + only compiled once. + label : str, optional + A label to identify `code_str` with. This is passed into ``compile`` + as the second argument (for run-time error messages). + + Returns + ------- + elapsed : float + Total elapsed time in seconds for executing `code_str` `times` times. + + Examples + -------- + >>> times = 10 + >>> etime = np.testing.measure('for i in range(1000): np.sqrt(i**2)', times=times) + >>> print("Time for a single execution : ", etime / times, "s") # doctest: +SKIP + Time for a single execution : 0.005 s + + """ + frame = sys._getframe(1) + locs, globs = frame.f_locals, frame.f_globals + + code = compile(code_str, f'Test name: {label} ', 'exec') + i = 0 + elapsed = jiffies() + while i < times: + i += 1 + exec(code, globs, locs) + elapsed = jiffies() - elapsed + return 0.01 * elapsed + + +def _assert_valid_refcount(op): + """ + Check that ufuncs don't mishandle refcount of object `1`. + Used in a few regression tests. + """ + if not HAS_REFCOUNT: + return True + + import gc + + import numpy as np + + b = np.arange(100 * 100).reshape(100, 100) + c = b + i = 1 + + gc.disable() + try: + rc = sys.getrefcount(i) + for j in range(15): + d = op(b, c) + assert_(sys.getrefcount(i) >= rc) + finally: + gc.enable() + + +def assert_allclose(actual, desired, rtol=1e-7, atol=0, equal_nan=True, + err_msg='', verbose=True, *, strict=False): + """ + Raises an AssertionError if two objects are not equal up to desired + tolerance. + + Given two array_like objects, check that their shapes and all elements + are equal (but see the Notes for the special handling of a scalar). An + exception is raised if the shapes mismatch or any values conflict. In + contrast to the standard usage in numpy, NaNs are compared like numbers, + no assertion is raised if both objects have NaNs in the same positions. + + The test is equivalent to ``allclose(actual, desired, rtol, atol)``, + except that it is stricter: it doesn't broadcast its operands, and has + tighter default tolerance values. It compares the difference between + `actual` and `desired` to ``atol + rtol * abs(desired)``. + + Parameters + ---------- + actual : array_like + Array obtained. + desired : array_like + Array desired. + rtol : float, optional + Relative tolerance. + atol : float, optional + Absolute tolerance. + equal_nan : bool, optional. + If True, NaNs will compare equal. + err_msg : str, optional + The error message to be printed in case of failure. + verbose : bool, optional + If True, the conflicting values are appended to the error message. + strict : bool, optional + If True, raise an ``AssertionError`` when either the shape or the data + type of the arguments does not match. The special handling of scalars + mentioned in the Notes section is disabled. + + .. versionadded:: 2.0.0 + + Raises + ------ + AssertionError + If actual and desired are not equal up to specified precision. + + See Also + -------- + assert_array_almost_equal_nulp, assert_array_max_ulp + + Notes + ----- + When one of `actual` and `desired` is a scalar and the other is array_like, the + function performs the comparison as if the scalar were broadcasted to the shape + of the array. Note that empty arrays are therefore considered equal to scalars. + This behaviour can be disabled by setting ``strict==True``. + + Examples + -------- + >>> x = [1e-5, 1e-3, 1e-1] + >>> y = np.arccos(np.cos(x)) + >>> np.testing.assert_allclose(x, y, rtol=1e-5, atol=0) + + As mentioned in the Notes section, `assert_allclose` has special + handling for scalars. Here, the test checks that the value of `numpy.sin` + is nearly zero at integer multiples of π. + + >>> x = np.arange(3) * np.pi + >>> np.testing.assert_allclose(np.sin(x), 0, atol=1e-15) + + Use `strict` to raise an ``AssertionError`` when comparing an array + with one or more dimensions against a scalar. + + >>> np.testing.assert_allclose(np.sin(x), 0, atol=1e-15, strict=True) + Traceback (most recent call last): + ... + AssertionError: + Not equal to tolerance rtol=1e-07, atol=1e-15 + + (shapes (3,), () mismatch) + ACTUAL: array([ 0.000000e+00, 1.224647e-16, -2.449294e-16]) + DESIRED: array(0) + + The `strict` parameter also ensures that the array data types match: + + >>> y = np.zeros(3, dtype=np.float32) + >>> np.testing.assert_allclose(np.sin(x), y, atol=1e-15, strict=True) + Traceback (most recent call last): + ... + AssertionError: + Not equal to tolerance rtol=1e-07, atol=1e-15 + + (dtypes float64, float32 mismatch) + ACTUAL: array([ 0.000000e+00, 1.224647e-16, -2.449294e-16]) + DESIRED: array([0., 0., 0.], dtype=float32) + + """ + __tracebackhide__ = True # Hide traceback for py.test + import numpy as np + + def compare(x, y): + return np._core.numeric.isclose(x, y, rtol=rtol, atol=atol, + equal_nan=equal_nan) + + actual, desired = np.asanyarray(actual), np.asanyarray(desired) + header = f'Not equal to tolerance rtol={rtol:g}, atol={atol:g}' + assert_array_compare(compare, actual, desired, err_msg=str(err_msg), + verbose=verbose, header=header, equal_nan=equal_nan, + strict=strict) + + +def assert_array_almost_equal_nulp(x, y, nulp=1): + """ + Compare two arrays relatively to their spacing. + + This is a relatively robust method to compare two arrays whose amplitude + is variable. + + Parameters + ---------- + x, y : array_like + Input arrays. + nulp : int, optional + The maximum number of unit in the last place for tolerance (see Notes). + Default is 1. + + Returns + ------- + None + + Raises + ------ + AssertionError + If the spacing between `x` and `y` for one or more elements is larger + than `nulp`. + + See Also + -------- + assert_array_max_ulp : Check that all items of arrays differ in at most + N Units in the Last Place. + spacing : Return the distance between x and the nearest adjacent number. + + Notes + ----- + An assertion is raised if the following condition is not met:: + + abs(x - y) <= nulp * spacing(maximum(abs(x), abs(y))) + + Examples + -------- + >>> x = np.array([1., 1e-10, 1e-20]) + >>> eps = np.finfo(x.dtype).eps + >>> np.testing.assert_array_almost_equal_nulp(x, x*eps/2 + x) + + >>> np.testing.assert_array_almost_equal_nulp(x, x*eps + x) + Traceback (most recent call last): + ... + AssertionError: Arrays are not equal to 1 ULP (max is 2) + + """ + __tracebackhide__ = True # Hide traceback for py.test + import numpy as np + ax = np.abs(x) + ay = np.abs(y) + ref = nulp * np.spacing(np.where(ax > ay, ax, ay)) + if not np.all(np.abs(x - y) <= ref): + if np.iscomplexobj(x) or np.iscomplexobj(y): + msg = f"Arrays are not equal to {nulp} ULP" + else: + max_nulp = np.max(nulp_diff(x, y)) + msg = f"Arrays are not equal to {nulp} ULP (max is {max_nulp:g})" + raise AssertionError(msg) + + +def assert_array_max_ulp(a, b, maxulp=1, dtype=None): + """ + Check that all items of arrays differ in at most N Units in the Last Place. + + Parameters + ---------- + a, b : array_like + Input arrays to be compared. + maxulp : int, optional + The maximum number of units in the last place that elements of `a` and + `b` can differ. Default is 1. + dtype : dtype, optional + Data-type to convert `a` and `b` to if given. Default is None. + + Returns + ------- + ret : ndarray + Array containing number of representable floating point numbers between + items in `a` and `b`. + + Raises + ------ + AssertionError + If one or more elements differ by more than `maxulp`. + + Notes + ----- + For computing the ULP difference, this API does not differentiate between + various representations of NAN (ULP difference between 0x7fc00000 and 0xffc00000 + is zero). + + See Also + -------- + assert_array_almost_equal_nulp : Compare two arrays relatively to their + spacing. + + Examples + -------- + >>> a = np.linspace(0., 1., 100) + >>> res = np.testing.assert_array_max_ulp(a, np.arcsin(np.sin(a))) + + """ + __tracebackhide__ = True # Hide traceback for py.test + import numpy as np + ret = nulp_diff(a, b, dtype) + if not np.all(ret <= maxulp): + raise AssertionError("Arrays are not almost equal up to %g " + "ULP (max difference is %g ULP)" % + (maxulp, np.max(ret))) + return ret + + +def nulp_diff(x, y, dtype=None): + """For each item in x and y, return the number of representable floating + points between them. + + Parameters + ---------- + x : array_like + first input array + y : array_like + second input array + dtype : dtype, optional + Data-type to convert `x` and `y` to if given. Default is None. + + Returns + ------- + nulp : array_like + number of representable floating point numbers between each item in x + and y. + + Notes + ----- + For computing the ULP difference, this API does not differentiate between + various representations of NAN (ULP difference between 0x7fc00000 and 0xffc00000 + is zero). + + Examples + -------- + # By definition, epsilon is the smallest number such as 1 + eps != 1, so + # there should be exactly one ULP between 1 and 1 + eps + >>> nulp_diff(1, 1 + np.finfo(x.dtype).eps) + 1.0 + """ + import numpy as np + if dtype: + x = np.asarray(x, dtype=dtype) + y = np.asarray(y, dtype=dtype) + else: + x = np.asarray(x) + y = np.asarray(y) + + t = np.common_type(x, y) + if np.iscomplexobj(x) or np.iscomplexobj(y): + raise NotImplementedError("_nulp not implemented for complex array") + + x = np.array([x], dtype=t) + y = np.array([y], dtype=t) + + x[np.isnan(x)] = np.nan + y[np.isnan(y)] = np.nan + + if not x.shape == y.shape: + raise ValueError(f"Arrays do not have the same shape: {x.shape} - {y.shape}") + + def _diff(rx, ry, vdt): + diff = np.asarray(rx - ry, dtype=vdt) + return np.abs(diff) + + rx = integer_repr(x) + ry = integer_repr(y) + return _diff(rx, ry, t) + + +def _integer_repr(x, vdt, comp): + # Reinterpret binary representation of the float as sign-magnitude: + # take into account two-complement representation + # See also + # https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/ + rx = x.view(vdt) + if not (rx.size == 1): + rx[rx < 0] = comp - rx[rx < 0] + elif rx < 0: + rx = comp - rx + + return rx + + +def integer_repr(x): + """Return the signed-magnitude interpretation of the binary representation + of x.""" + import numpy as np + if x.dtype == np.float16: + return _integer_repr(x, np.int16, np.int16(-2**15)) + elif x.dtype == np.float32: + return _integer_repr(x, np.int32, np.int32(-2**31)) + elif x.dtype == np.float64: + return _integer_repr(x, np.int64, np.int64(-2**63)) + else: + raise ValueError(f'Unsupported dtype {x.dtype}') + + +@contextlib.contextmanager +def _assert_warns_context(warning_class, name=None): + __tracebackhide__ = True # Hide traceback for py.test + with suppress_warnings(_warn=False) as sup: + l = sup.record(warning_class) + yield + if not len(l) > 0: + name_str = f' when calling {name}' if name is not None else '' + raise AssertionError("No warning raised" + name_str) + + +def assert_warns(warning_class, *args, **kwargs): + """ + Fail unless the given callable throws the specified warning. + + A warning of class warning_class should be thrown by the callable when + invoked with arguments args and keyword arguments kwargs. + If a different type of warning is thrown, it will not be caught. + + If called with all arguments other than the warning class omitted, may be + used as a context manager:: + + with assert_warns(SomeWarning): + do_something() + + The ability to be used as a context manager is new in NumPy v1.11.0. + + .. deprecated:: 2.4 + + This is deprecated. Use `warnings.catch_warnings` or + ``pytest.warns`` instead. + + Parameters + ---------- + warning_class : class + The class defining the warning that `func` is expected to throw. + func : callable, optional + Callable to test + *args : Arguments + Arguments for `func`. + **kwargs : Kwargs + Keyword arguments for `func`. + + Returns + ------- + The value returned by `func`. + + Examples + -------- + >>> import warnings + >>> def deprecated_func(num): + ... warnings.warn("Please upgrade", DeprecationWarning) + ... return num*num + >>> with np.testing.assert_warns(DeprecationWarning): + ... assert deprecated_func(4) == 16 + >>> # or passing a func + >>> ret = np.testing.assert_warns(DeprecationWarning, deprecated_func, 4) + >>> assert ret == 16 + """ + warnings.warn( + "NumPy warning suppression and assertion utilities are deprecated. " + "Use warnings.catch_warnings, warnings.filterwarnings, pytest.warns, " + "or pytest.filterwarnings instead. (Deprecated NumPy 2.4)", + DeprecationWarning, stacklevel=2) + if not args and not kwargs: + return _assert_warns_context(warning_class) + elif len(args) < 1: + if "match" in kwargs: + raise RuntimeError( + "assert_warns does not use 'match' kwarg, " + "use pytest.warns instead" + ) + raise RuntimeError("assert_warns(...) needs at least one arg") + + func = args[0] + args = args[1:] + with _assert_warns_context(warning_class, name=func.__name__): + return func(*args, **kwargs) + + +@contextlib.contextmanager +def _assert_no_warnings_context(name=None): + __tracebackhide__ = True # Hide traceback for py.test + with warnings.catch_warnings(record=True) as l: + warnings.simplefilter('always') + yield + if len(l) > 0: + name_str = f' when calling {name}' if name is not None else '' + raise AssertionError(f'Got warnings{name_str}: {l}') + + +def assert_no_warnings(*args, **kwargs): + """ + Fail if the given callable produces any warnings. + + If called with all arguments omitted, may be used as a context manager:: + + with assert_no_warnings(): + do_something() + + The ability to be used as a context manager is new in NumPy v1.11.0. + + Parameters + ---------- + func : callable + The callable to test. + \\*args : Arguments + Arguments passed to `func`. + \\*\\*kwargs : Kwargs + Keyword arguments passed to `func`. + + Returns + ------- + The value returned by `func`. + + """ + if not args: + return _assert_no_warnings_context() + + func = args[0] + args = args[1:] + with _assert_no_warnings_context(name=func.__name__): + return func(*args, **kwargs) + + +def _gen_alignment_data(dtype=float32, type='binary', max_size=24): + """ + generator producing data with different alignment and offsets + to test simd vectorization + + Parameters + ---------- + dtype : dtype + data type to produce + type : string + 'unary': create data for unary operations, creates one input + and output array + 'binary': create data for unary operations, creates two input + and output array + max_size : integer + maximum size of data to produce + + Returns + ------- + if type is 'unary' yields one output, one input array and a message + containing information on the data + if type is 'binary' yields one output array, two input array and a message + containing information on the data + + """ + ufmt = 'unary offset=(%d, %d), size=%d, dtype=%r, %s' + bfmt = 'binary offset=(%d, %d, %d), size=%d, dtype=%r, %s' + for o in range(3): + for s in range(o + 2, max(o + 3, max_size)): + if type == 'unary': + inp = lambda: arange(s, dtype=dtype)[o:] + out = empty((s,), dtype=dtype)[o:] + yield out, inp(), ufmt % (o, o, s, dtype, 'out of place') + d = inp() + yield d, d, ufmt % (o, o, s, dtype, 'in place') + yield out[1:], inp()[:-1], ufmt % \ + (o + 1, o, s - 1, dtype, 'out of place') + yield out[:-1], inp()[1:], ufmt % \ + (o, o + 1, s - 1, dtype, 'out of place') + yield inp()[:-1], inp()[1:], ufmt % \ + (o, o + 1, s - 1, dtype, 'aliased') + yield inp()[1:], inp()[:-1], ufmt % \ + (o + 1, o, s - 1, dtype, 'aliased') + if type == 'binary': + inp1 = lambda: arange(s, dtype=dtype)[o:] + inp2 = lambda: arange(s, dtype=dtype)[o:] + out = empty((s,), dtype=dtype)[o:] + yield out, inp1(), inp2(), bfmt % \ + (o, o, o, s, dtype, 'out of place') + d = inp1() + yield d, d, inp2(), bfmt % \ + (o, o, o, s, dtype, 'in place1') + d = inp2() + yield d, inp1(), d, bfmt % \ + (o, o, o, s, dtype, 'in place2') + yield out[1:], inp1()[:-1], inp2()[:-1], bfmt % \ + (o + 1, o, o, s - 1, dtype, 'out of place') + yield out[:-1], inp1()[1:], inp2()[:-1], bfmt % \ + (o, o + 1, o, s - 1, dtype, 'out of place') + yield out[:-1], inp1()[:-1], inp2()[1:], bfmt % \ + (o, o, o + 1, s - 1, dtype, 'out of place') + yield inp1()[1:], inp1()[:-1], inp2()[:-1], bfmt % \ + (o + 1, o, o, s - 1, dtype, 'aliased') + yield inp1()[:-1], inp1()[1:], inp2()[:-1], bfmt % \ + (o, o + 1, o, s - 1, dtype, 'aliased') + yield inp1()[:-1], inp1()[:-1], inp2()[1:], bfmt % \ + (o, o, o + 1, s - 1, dtype, 'aliased') + + +class IgnoreException(Exception): + "Ignoring this exception due to disabled feature" + pass + + +@contextlib.contextmanager +def tempdir(*args, **kwargs): + """Context manager to provide a temporary test folder. + + All arguments are passed as this to the underlying tempfile.mkdtemp + function. + + """ + tmpdir = mkdtemp(*args, **kwargs) + try: + yield tmpdir + finally: + shutil.rmtree(tmpdir) + + +@contextlib.contextmanager +def temppath(*args, **kwargs): + """Context manager for temporary files. + + Context manager that returns the path to a closed temporary file. Its + parameters are the same as for tempfile.mkstemp and are passed directly + to that function. The underlying file is removed when the context is + exited, so it should be closed at that time. + + Windows does not allow a temporary file to be opened if it is already + open, so the underlying file must be closed after opening before it + can be opened again. + + """ + fd, path = mkstemp(*args, **kwargs) + os.close(fd) + try: + yield path + finally: + os.remove(path) + + +class clear_and_catch_warnings(warnings.catch_warnings): + """ Context manager that resets warning registry for catching warnings + + Warnings can be slippery, because, whenever a warning is triggered, Python + adds a ``__warningregistry__`` member to the *calling* module. This makes + it impossible to retrigger the warning in this module, whatever you put in + the warnings filters. This context manager accepts a sequence of `modules` + as a keyword argument to its constructor and: + + * stores and removes any ``__warningregistry__`` entries in given `modules` + on entry; + * resets ``__warningregistry__`` to its previous state on exit. + + This makes it possible to trigger any warning afresh inside the context + manager without disturbing the state of warnings outside. + + For compatibility with Python, please consider all arguments to be + keyword-only. + + Parameters + ---------- + record : bool, optional + Specifies whether warnings should be captured by a custom + implementation of ``warnings.showwarning()`` and be appended to a list + returned by the context manager. Otherwise None is returned by the + context manager. The objects appended to the list are arguments whose + attributes mirror the arguments to ``showwarning()``. + modules : sequence, optional + Sequence of modules for which to reset warnings registry on entry and + restore on exit. To work correctly, all 'ignore' filters should + filter by one of these modules. + + Examples + -------- + >>> import warnings + >>> with np.testing.clear_and_catch_warnings( + ... modules=[np._core.fromnumeric]): + ... warnings.simplefilter('always') + ... warnings.filterwarnings('ignore', module='np._core.fromnumeric') + ... # do something that raises a warning but ignore those in + ... # np._core.fromnumeric + """ + class_modules = () + + def __init__(self, record=False, modules=()): + self.modules = set(modules).union(self.class_modules) + self._warnreg_copies = {} + super().__init__(record=record) + + def __enter__(self): + for mod in self.modules: + if hasattr(mod, '__warningregistry__'): + mod_reg = mod.__warningregistry__ + self._warnreg_copies[mod] = mod_reg.copy() + mod_reg.clear() + return super().__enter__() + + def __exit__(self, *exc_info): + super().__exit__(*exc_info) + for mod in self.modules: + if hasattr(mod, '__warningregistry__'): + mod.__warningregistry__.clear() + if mod in self._warnreg_copies: + mod.__warningregistry__.update(self._warnreg_copies[mod]) + + +class suppress_warnings: + """ + Context manager and decorator doing much the same as + ``warnings.catch_warnings``. + + However, it also provides a filter mechanism to work around + https://bugs.python.org/issue4180. + + This bug causes Python before 3.4 to not reliably show warnings again + after they have been ignored once (even within catch_warnings). It + means that no "ignore" filter can be used easily, since following + tests might need to see the warning. Additionally it allows easier + specificity for testing warnings and can be nested. + + .. deprecated:: 2.4 + + This is deprecated. Use `warnings.filterwarnings` or + ``pytest.filterwarnings`` instead. + + Parameters + ---------- + forwarding_rule : str, optional + One of "always", "once", "module", or "location". Analogous to + the usual warnings module filter mode, it is useful to reduce + noise mostly on the outmost level. Unsuppressed and unrecorded + warnings will be forwarded based on this rule. Defaults to "always". + "location" is equivalent to the warnings "default", match by exact + location the warning warning originated from. + + Notes + ----- + Filters added inside the context manager will be discarded again + when leaving it. Upon entering all filters defined outside a + context will be applied automatically. + + When a recording filter is added, matching warnings are stored in the + ``log`` attribute as well as in the list returned by ``record``. + + If filters are added and the ``module`` keyword is given, the + warning registry of this module will additionally be cleared when + applying it, entering the context, or exiting it. This could cause + warnings to appear a second time after leaving the context if they + were configured to be printed once (default) and were already + printed before the context was entered. + + Nesting this context manager will work as expected when the + forwarding rule is "always" (default). Unfiltered and unrecorded + warnings will be passed out and be matched by the outer level. + On the outmost level they will be printed (or caught by another + warnings context). The forwarding rule argument can modify this + behaviour. + + Like ``catch_warnings`` this context manager is not threadsafe. + + Examples + -------- + + With a context manager:: + + with np.testing.suppress_warnings() as sup: + sup.filter(DeprecationWarning, "Some text") + sup.filter(module=np.ma.core) + log = sup.record(FutureWarning, "Does this occur?") + command_giving_warnings() + # The FutureWarning was given once, the filtered warnings were + # ignored. All other warnings abide outside settings (may be + # printed/error) + assert_(len(log) == 1) + assert_(len(sup.log) == 1) # also stored in log attribute + + Or as a decorator:: + + sup = np.testing.suppress_warnings() + sup.filter(module=np.ma.core) # module must match exactly + @sup + def some_function(): + # do something which causes a warning in np.ma.core + pass + """ + def __init__(self, forwarding_rule="always", _warn=True): + if _warn: + warnings.warn( + "NumPy warning suppression and assertion utilities are deprecated. " + "Use warnings.catch_warnings, warnings.filterwarnings, pytest.warns, " + "or pytest.filterwarnings instead. (Deprecated NumPy 2.4)", + DeprecationWarning, stacklevel=2) + self._entered = False + + # Suppressions are either instance or defined inside one with block: + self._suppressions = [] + + if forwarding_rule not in {"always", "module", "once", "location"}: + raise ValueError("unsupported forwarding rule.") + self._forwarding_rule = forwarding_rule + + def _clear_registries(self): + if hasattr(warnings, "_filters_mutated"): + # clearing the registry should not be necessary on new pythons, + # instead the filters should be mutated. + warnings._filters_mutated() + return + # Simply clear the registry, this should normally be harmless, + # note that on new pythons it would be invalidated anyway. + for module in self._tmp_modules: + if hasattr(module, "__warningregistry__"): + module.__warningregistry__.clear() + + def _filter(self, category=Warning, message="", module=None, record=False): + if record: + record = [] # The log where to store warnings + else: + record = None + if self._entered: + if module is None: + warnings.filterwarnings( + "always", category=category, message=message) + else: + module_regex = module.__name__.replace('.', r'\.') + '$' + warnings.filterwarnings( + "always", category=category, message=message, + module=module_regex) + self._tmp_modules.add(module) + self._clear_registries() + + self._tmp_suppressions.append( + (category, message, re.compile(message, re.I), module, record)) + else: + self._suppressions.append( + (category, message, re.compile(message, re.I), module, record)) + + return record + + def filter(self, category=Warning, message="", module=None): + """ + Add a new suppressing filter or apply it if the state is entered. + + Parameters + ---------- + category : class, optional + Warning class to filter + message : string, optional + Regular expression matching the warning message. + module : module, optional + Module to filter for. Note that the module (and its file) + must match exactly and cannot be a submodule. This may make + it unreliable for external modules. + + Notes + ----- + When added within a context, filters are only added inside + the context and will be forgotten when the context is exited. + """ + self._filter(category=category, message=message, module=module, + record=False) + + def record(self, category=Warning, message="", module=None): + """ + Append a new recording filter or apply it if the state is entered. + + All warnings matching will be appended to the ``log`` attribute. + + Parameters + ---------- + category : class, optional + Warning class to filter + message : string, optional + Regular expression matching the warning message. + module : module, optional + Module to filter for. Note that the module (and its file) + must match exactly and cannot be a submodule. This may make + it unreliable for external modules. + + Returns + ------- + log : list + A list which will be filled with all matched warnings. + + Notes + ----- + When added within a context, filters are only added inside + the context and will be forgotten when the context is exited. + """ + return self._filter(category=category, message=message, module=module, + record=True) + + def __enter__(self): + if self._entered: + raise RuntimeError("cannot enter suppress_warnings twice.") + + self._orig_show = warnings.showwarning + self._filters = warnings.filters + warnings.filters = self._filters[:] + + self._entered = True + self._tmp_suppressions = [] + self._tmp_modules = set() + self._forwarded = set() + + self.log = [] # reset global log (no need to keep same list) + + for cat, mess, _, mod, log in self._suppressions: + if log is not None: + del log[:] # clear the log + if mod is None: + warnings.filterwarnings( + "always", category=cat, message=mess) + else: + module_regex = mod.__name__.replace('.', r'\.') + '$' + warnings.filterwarnings( + "always", category=cat, message=mess, + module=module_regex) + self._tmp_modules.add(mod) + warnings.showwarning = self._showwarning + self._clear_registries() + + return self + + def __exit__(self, *exc_info): + warnings.showwarning = self._orig_show + warnings.filters = self._filters + self._clear_registries() + self._entered = False + del self._orig_show + del self._filters + + def _showwarning(self, message, category, filename, lineno, + *args, use_warnmsg=None, **kwargs): + for cat, _, pattern, mod, rec in ( + self._suppressions + self._tmp_suppressions)[::-1]: + if (issubclass(category, cat) and + pattern.match(message.args[0]) is not None): + if mod is None: + # Message and category match, either recorded or ignored + if rec is not None: + msg = WarningMessage(message, category, filename, + lineno, **kwargs) + self.log.append(msg) + rec.append(msg) + return + # Use startswith, because warnings strips the c or o from + # .pyc/.pyo files. + elif mod.__file__.startswith(filename): + # The message and module (filename) match + if rec is not None: + msg = WarningMessage(message, category, filename, + lineno, **kwargs) + self.log.append(msg) + rec.append(msg) + return + + # There is no filter in place, so pass to the outside handler + # unless we should only pass it once + if self._forwarding_rule == "always": + if use_warnmsg is None: + self._orig_show(message, category, filename, lineno, + *args, **kwargs) + else: + self._orig_showmsg(use_warnmsg) + return + + if self._forwarding_rule == "once": + signature = (message.args, category) + elif self._forwarding_rule == "module": + signature = (message.args, category, filename) + elif self._forwarding_rule == "location": + signature = (message.args, category, filename, lineno) + + if signature in self._forwarded: + return + self._forwarded.add(signature) + if use_warnmsg is None: + self._orig_show(message, category, filename, lineno, *args, + **kwargs) + else: + self._orig_showmsg(use_warnmsg) + + def __call__(self, func): + """ + Function decorator to apply certain suppressions to a whole + function. + """ + @wraps(func) + def new_func(*args, **kwargs): + with self: + return func(*args, **kwargs) + + return new_func + + +@contextlib.contextmanager +def _assert_no_gc_cycles_context(name=None): + __tracebackhide__ = True # Hide traceback for py.test + + # not meaningful to test if there is no refcounting + if not HAS_REFCOUNT: + yield + return + + assert_(gc.isenabled()) + gc.disable() + gc_debug = gc.get_debug() + try: + for i in range(100): + if gc.collect() == 0: + break + else: + raise RuntimeError( + "Unable to fully collect garbage - perhaps a __del__ method " + "is creating more reference cycles?") + + gc.set_debug(gc.DEBUG_SAVEALL) + yield + # gc.collect returns the number of unreachable objects in cycles that + # were found -- we are checking that no cycles were created in the context + n_objects_in_cycles = gc.collect() + objects_in_cycles = gc.garbage[:] + finally: + del gc.garbage[:] + gc.set_debug(gc_debug) + gc.enable() + + if n_objects_in_cycles: + name_str = f' when calling {name}' if name is not None else '' + raise AssertionError( + "Reference cycles were found{}: {} objects were collected, " + "of which {} are shown below:{}" + .format( + name_str, + n_objects_in_cycles, + len(objects_in_cycles), + ''.join( + "\n {} object with id={}:\n {}".format( + type(o).__name__, + id(o), + pprint.pformat(o).replace('\n', '\n ') + ) for o in objects_in_cycles + ) + ) + ) + + +def assert_no_gc_cycles(*args, **kwargs): + """ + Fail if the given callable produces any reference cycles. + + If called with all arguments omitted, may be used as a context manager:: + + with assert_no_gc_cycles(): + do_something() + + Parameters + ---------- + func : callable + The callable to test. + \\*args : Arguments + Arguments passed to `func`. + \\*\\*kwargs : Kwargs + Keyword arguments passed to `func`. + + Returns + ------- + Nothing. The result is deliberately discarded to ensure that all cycles + are found. + + """ + if not args: + return _assert_no_gc_cycles_context() + + func = args[0] + args = args[1:] + with _assert_no_gc_cycles_context(name=func.__name__): + func(*args, **kwargs) + + +def break_cycles(): + """ + Break reference cycles by calling gc.collect + Objects can call other objects' methods (for instance, another object's + __del__) inside their own __del__. On PyPy, the interpreter only runs + between calls to gc.collect, so multiple calls are needed to completely + release all cycles. + """ + + gc.collect() + if IS_PYPY: + # a few more, just to make sure all the finalizers are called + gc.collect() + gc.collect() + gc.collect() + gc.collect() + + +def requires_memory(free_bytes): + """Decorator to skip a test if not enough memory is available""" + import pytest + + def decorator(func): + @wraps(func) + def wrapper(*a, **kw): + msg = check_free_memory(free_bytes) + if msg is not None: + pytest.skip(msg) + + try: + return func(*a, **kw) + except MemoryError: + # Probably ran out of memory regardless: don't regard as failure + pytest.xfail("MemoryError raised") + + return wrapper + + return decorator + + +def check_free_memory(free_bytes): + """ + Check whether `free_bytes` amount of memory is currently free. + Returns: None if enough memory available, otherwise error message + """ + env_var = 'NPY_AVAILABLE_MEM' + env_value = os.environ.get(env_var) + if env_value is not None: + try: + mem_free = _parse_size(env_value) + except ValueError as exc: + raise ValueError(f'Invalid environment variable {env_var}: {exc}') + + msg = (f'{free_bytes / 1e9} GB memory required, but environment variable ' + f'NPY_AVAILABLE_MEM={env_value} set') + else: + mem_free = _get_mem_available() + + if mem_free is None: + msg = ("Could not determine available memory; set NPY_AVAILABLE_MEM " + "environment variable (e.g. NPY_AVAILABLE_MEM=16GB) to run " + "the test.") + mem_free = -1 + else: + free_bytes_gb = free_bytes / 1e9 + mem_free_gb = mem_free / 1e9 + msg = f'{free_bytes_gb} GB memory required, but {mem_free_gb} GB available' + + return msg if mem_free < free_bytes else None + + +def _parse_size(size_str): + """Convert memory size strings ('12 GB' etc.) to float""" + suffixes = {'': 1, 'b': 1, + 'k': 1000, 'm': 1000**2, 'g': 1000**3, 't': 1000**4, + 'kb': 1000, 'mb': 1000**2, 'gb': 1000**3, 'tb': 1000**4, + 'kib': 1024, 'mib': 1024**2, 'gib': 1024**3, 'tib': 1024**4} + + pipe_suffixes = "|".join(suffixes.keys()) + + size_re = re.compile(fr'^\s*(\d+|\d+\.\d+)\s*({pipe_suffixes})\s*$', re.I) + + m = size_re.match(size_str.lower()) + if not m or m.group(2) not in suffixes: + raise ValueError(f'value {size_str!r} not a valid size') + return int(float(m.group(1)) * suffixes[m.group(2)]) + + +def _get_mem_available(): + """Return available memory in bytes, or None if unknown.""" + try: + import psutil + return psutil.virtual_memory().available + except (ImportError, AttributeError): + pass + + if sys.platform.startswith('linux'): + info = {} + with open('/proc/meminfo') as f: + for line in f: + p = line.split() + info[p[0].strip(':').lower()] = int(p[1]) * 1024 + + if 'memavailable' in info: + # Linux >= 3.14 + return info['memavailable'] + else: + return info['memfree'] + info['cached'] + + return None + + +def _no_tracing(func): + """ + Decorator to temporarily turn off tracing for the duration of a test. + Needed in tests that check refcounting, otherwise the tracing itself + influences the refcounts + """ + if not hasattr(sys, 'gettrace'): + return func + else: + @wraps(func) + def wrapper(*args, **kwargs): + original_trace = sys.gettrace() + try: + sys.settrace(None) + return func(*args, **kwargs) + finally: + sys.settrace(original_trace) + return wrapper + + +def _get_glibc_version(): + try: + ver = os.confstr('CS_GNU_LIBC_VERSION').rsplit(' ')[1] + except Exception: + ver = '0.0' + + return ver + + +_glibcver = _get_glibc_version() +_glibc_older_than = lambda x: (_glibcver != '0.0' and _glibcver < x) + + +def run_threaded(func, max_workers=8, pass_count=False, + pass_barrier=False, outer_iterations=1, + prepare_args=None): + """Runs a function many times in parallel""" + for _ in range(outer_iterations): + with (concurrent.futures.ThreadPoolExecutor(max_workers=max_workers) + as tpe): + if prepare_args is None: + args = [] + else: + args = prepare_args() + if pass_barrier: + barrier = threading.Barrier(max_workers) + args.append(barrier) + if pass_count: + all_args = [(func, i, *args) for i in range(max_workers)] + else: + all_args = [(func, *args) for i in range(max_workers)] + try: + futures = [] + for arg in all_args: + futures.append(tpe.submit(*arg)) + except RuntimeError as e: + import pytest + pytest.skip(f"Spawning {max_workers} threads failed with " + f"error {e!r} (likely due to resource limits on the " + "system running the tests)") + finally: + if len(futures) < max_workers and pass_barrier: + barrier.abort() + for f in futures: + f.result() diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/utils.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/utils.pyi new file mode 100644 index 0000000000000000000000000000000000000000..016bbecf46046d7338c0497a66037dff55bbd58e --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/_private/utils.pyi @@ -0,0 +1,505 @@ +import ast +import sys +import types +import unittest +import warnings +from _typeshed import ConvertibleToFloat, GenericPath, StrOrBytesPath, StrPath +from collections.abc import Callable, Iterable, Sequence +from contextlib import _GeneratorContextManager +from pathlib import Path +from re import Pattern +from typing import ( + Any, + AnyStr, + ClassVar, + Final, + Generic, + Literal as L, + NoReturn, + ParamSpec, + Self, + SupportsIndex, + TypeAlias, + TypeVarTuple, + overload, + type_check_only, +) +from typing_extensions import TypeVar, deprecated +from unittest.case import SkipTest + +import numpy as np +from numpy._typing import ( + ArrayLike, + DTypeLike, + NDArray, + _ArrayLikeDT64_co, + _ArrayLikeNumber_co, + _ArrayLikeObject_co, + _ArrayLikeTD64_co, +) + +__all__ = [ # noqa: RUF022 + "IS_EDITABLE", + "IS_MUSL", + "IS_PYPY", + "IS_PYSTON", + "IS_WASM", + "IS_INSTALLED", + "IS_64BIT", + "HAS_LAPACK64", + "HAS_REFCOUNT", + "BLAS_SUPPORTS_FPE", + "NOGIL_BUILD", + "NUMPY_ROOT", + "assert_", + "assert_array_almost_equal_nulp", + "assert_raises_regex", + "assert_array_max_ulp", + "assert_warns", + "assert_no_warnings", + "assert_allclose", + "assert_equal", + "assert_almost_equal", + "assert_approx_equal", + "assert_array_equal", + "assert_array_less", + "assert_string_equal", + "assert_array_almost_equal", + "assert_raises", + "build_err_msg", + "decorate_methods", + "jiffies", + "memusage", + "print_assert_equal", + "rundocs", + "runstring", + "verbose", + "measure", + "IgnoreException", + "clear_and_catch_warnings", + "SkipTest", + "KnownFailureException", + "temppath", + "tempdir", + "suppress_warnings", + "assert_array_compare", + "assert_no_gc_cycles", + "break_cycles", + "check_support_sve", + "run_threaded", +] + +### + +_T = TypeVar("_T") +_Ts = TypeVarTuple("_Ts") +_Tss = ParamSpec("_Tss") +_ET = TypeVar("_ET", bound=BaseException, default=BaseException) +_FT = TypeVar("_FT", bound=Callable[..., Any]) +_W_co = TypeVar("_W_co", bound=_WarnLog | None, default=_WarnLog | None, covariant=True) + +_StrLike: TypeAlias = str | bytes +_RegexLike: TypeAlias = _StrLike | Pattern[Any] +_NumericArrayLike: TypeAlias = _ArrayLikeNumber_co | _ArrayLikeObject_co + +_ExceptionSpec: TypeAlias = type[_ET] | tuple[type[_ET], ...] +_WarningSpec: TypeAlias = type[Warning] +_WarnLog: TypeAlias = list[warnings.WarningMessage] +_ToModules: TypeAlias = Iterable[types.ModuleType] + +# Must return a bool or an ndarray/generic type that is supported by `np.logical_and.reduce` +_ComparisonFunc: TypeAlias = Callable[ + [NDArray[Any], NDArray[Any]], + bool | np.bool | np.number | NDArray[np.bool | np.number | np.object_], +] + +# Type-check only `clear_and_catch_warnings` subclasses for both values of the +# `record` parameter. Copied from the stdlib `warnings` stubs. +@type_check_only +class _clear_and_catch_warnings_with_records(clear_and_catch_warnings): + def __enter__(self) -> list[warnings.WarningMessage]: ... + +@type_check_only +class _clear_and_catch_warnings_without_records(clear_and_catch_warnings): + def __enter__(self) -> None: ... + +### + +verbose: int = 0 +NUMPY_ROOT: Final[Path] = ... +IS_INSTALLED: Final[bool] = ... +IS_EDITABLE: Final[bool] = ... +IS_MUSL: Final[bool] = ... +IS_PYPY: Final[bool] = ... +IS_PYSTON: Final[bool] = ... +IS_WASM: Final[bool] = ... +IS_64BIT: Final[bool] = ... +HAS_REFCOUNT: Final[bool] = ... +HAS_LAPACK64: Final[bool] = ... +BLAS_SUPPORTS_FPE: Final[bool] = ... +NOGIL_BUILD: Final[bool] = ... + +class KnownFailureException(Exception): ... +class IgnoreException(Exception): ... + +class clear_and_catch_warnings(warnings.catch_warnings[_W_co], Generic[_W_co]): + class_modules: ClassVar[tuple[types.ModuleType, ...]] = () + modules: Final[set[types.ModuleType]] + @overload # record: True + def __init__(self: clear_and_catch_warnings[_WarnLog], /, record: L[True], modules: _ToModules = ()) -> None: ... + @overload # record: False (default) + def __init__(self: clear_and_catch_warnings[None], /, record: L[False] = False, modules: _ToModules = ()) -> None: ... + @overload # record; bool + def __init__(self, /, record: bool, modules: _ToModules = ()) -> None: ... + +@deprecated("Please use warnings.filterwarnings or pytest.mark.filterwarnings instead") +class suppress_warnings: + log: Final[_WarnLog] + def __init__(self, /, forwarding_rule: L["always", "module", "once", "location"] = "always") -> None: ... + def __enter__(self) -> Self: ... + def __exit__(self, cls: type[BaseException] | None, exc: BaseException | None, tb: types.TracebackType | None, /) -> None: ... + def __call__(self, /, func: _FT) -> _FT: ... + + # + def filter(self, /, category: type[Warning] = ..., message: str = "", module: types.ModuleType | None = None) -> None: ... + def record(self, /, category: type[Warning] = ..., message: str = "", module: types.ModuleType | None = None) -> _WarnLog: ... + +# Contrary to runtime we can't do `os.name` checks while type checking, +# only `sys.platform` checks +if sys.platform == "win32" or sys.platform == "cygwin": + def memusage(processName: str = "python", instance: int = 0) -> int: ... +elif sys.platform == "linux": + def memusage(_proc_pid_stat: StrOrBytesPath | None = None) -> int | None: ... +else: + def memusage() -> NoReturn: ... + +if sys.platform == "linux": + def jiffies(_proc_pid_stat: StrOrBytesPath | None = None, _load_time: list[float] | None = None) -> int: ... +else: + def jiffies(_load_time: list[float] = []) -> int: ... + +# +def build_err_msg( + arrays: Iterable[object], + err_msg: object, + header: str = "Items are not equal:", + verbose: bool = True, + names: Sequence[str] = ("ACTUAL", "DESIRED"), # = ('ACTUAL', 'DESIRED') + precision: SupportsIndex | None = 8, +) -> str: ... + +# +def print_assert_equal(test_string: str, actual: object, desired: object) -> None: ... + +# +def assert_(val: object, msg: str | Callable[[], str] = "") -> None: ... + +# +def assert_equal( + actual: object, + desired: object, + err_msg: object = "", + verbose: bool = True, + *, + strict: bool = False, +) -> None: ... + +def assert_almost_equal( + actual: _NumericArrayLike, + desired: _NumericArrayLike, + decimal: int = 7, + err_msg: object = "", + verbose: bool = True, +) -> None: ... + +# +def assert_approx_equal( + actual: ConvertibleToFloat, + desired: ConvertibleToFloat, + significant: int = 7, + err_msg: object = "", + verbose: bool = True, +) -> None: ... + +# +def assert_array_compare( + comparison: _ComparisonFunc, + x: ArrayLike, + y: ArrayLike, + err_msg: object = "", + verbose: bool = True, + header: str = "", + precision: SupportsIndex = 6, + equal_nan: bool = True, + equal_inf: bool = True, + *, + strict: bool = False, + names: tuple[str, str] = ("ACTUAL", "DESIRED"), +) -> None: ... + +# +def assert_array_equal( + actual: object, + desired: object, + err_msg: object = "", + verbose: bool = True, + *, + strict: bool = False, +) -> None: ... + +# +def assert_array_almost_equal( + actual: _NumericArrayLike, + desired: _NumericArrayLike, + decimal: float = 6, + err_msg: object = "", + verbose: bool = True, +) -> None: ... + +@overload +def assert_array_less( + x: _ArrayLikeDT64_co, + y: _ArrayLikeDT64_co, + err_msg: object = "", + verbose: bool = True, + *, + strict: bool = False, +) -> None: ... +@overload +def assert_array_less( + x: _ArrayLikeTD64_co, + y: _ArrayLikeTD64_co, + err_msg: object = "", + verbose: bool = True, + *, + strict: bool = False, +) -> None: ... +@overload +def assert_array_less( + x: _NumericArrayLike, + y: _NumericArrayLike, + err_msg: object = "", + verbose: bool = True, + *, + strict: bool = False, +) -> None: ... + +# +def assert_string_equal(actual: str, desired: str) -> None: ... + +# +@overload +def assert_raises( + exception_class: _ExceptionSpec[_ET], + /, + *, + msg: str | None = None, +) -> unittest.case._AssertRaisesContext[_ET]: ... +@overload +def assert_raises( + exception_class: _ExceptionSpec, + callable: Callable[_Tss, Any], + /, + *args: _Tss.args, + **kwargs: _Tss.kwargs, +) -> None: ... + +# +@overload +def assert_raises_regex( + exception_class: _ExceptionSpec[_ET], + expected_regexp: _RegexLike, + *, + msg: str | None = None, +) -> unittest.case._AssertRaisesContext[_ET]: ... +@overload +def assert_raises_regex( + exception_class: _ExceptionSpec, + expected_regexp: _RegexLike, + callable: Callable[_Tss, Any], + *args: _Tss.args, + **kwargs: _Tss.kwargs, +) -> None: ... + +# +@overload +def assert_allclose( + actual: _ArrayLikeTD64_co, + desired: _ArrayLikeTD64_co, + rtol: float = 1e-7, + atol: float = 0, + equal_nan: bool = True, + err_msg: object = "", + verbose: bool = True, + *, + strict: bool = False, +) -> None: ... +@overload +def assert_allclose( + actual: _NumericArrayLike, + desired: _NumericArrayLike, + rtol: float = 1e-7, + atol: float = 0, + equal_nan: bool = True, + err_msg: object = "", + verbose: bool = True, + *, + strict: bool = False, +) -> None: ... + +# +def assert_array_almost_equal_nulp( + x: _ArrayLikeNumber_co, + y: _ArrayLikeNumber_co, + nulp: float = 1, +) -> None: ... + +# +def assert_array_max_ulp( + a: _ArrayLikeNumber_co, + b: _ArrayLikeNumber_co, + maxulp: float = 1, + dtype: DTypeLike | None = None, +) -> NDArray[Any]: ... + +# +@overload +@deprecated("Please use warnings.catch_warnings or pytest.warns instead") +def assert_warns(warning_class: _WarningSpec) -> _GeneratorContextManager[None]: ... +@overload +@deprecated("Please use warnings.catch_warnings or pytest.warns instead") +def assert_warns(warning_class: _WarningSpec, func: Callable[_Tss, _T], *args: _Tss.args, **kwargs: _Tss.kwargs) -> _T: ... + +# +@overload +def assert_no_warnings() -> _GeneratorContextManager[None]: ... +@overload +def assert_no_warnings(func: Callable[_Tss, _T], /, *args: _Tss.args, **kwargs: _Tss.kwargs) -> _T: ... + +# +@overload +def assert_no_gc_cycles() -> _GeneratorContextManager[None]: ... +@overload +def assert_no_gc_cycles(func: Callable[_Tss, Any], /, *args: _Tss.args, **kwargs: _Tss.kwargs) -> None: ... + +### + +# +@overload +def tempdir( + suffix: None = None, + prefix: None = None, + dir: None = None, +) -> _GeneratorContextManager[str]: ... +@overload +def tempdir( + suffix: AnyStr | None = None, + prefix: AnyStr | None = None, + *, + dir: GenericPath[AnyStr], +) -> _GeneratorContextManager[AnyStr]: ... +@overload +def tempdir( + suffix: AnyStr | None = None, + *, + prefix: AnyStr, + dir: GenericPath[AnyStr] | None = None, +) -> _GeneratorContextManager[AnyStr]: ... +@overload +def tempdir( + suffix: AnyStr, + prefix: AnyStr | None = None, + dir: GenericPath[AnyStr] | None = None, +) -> _GeneratorContextManager[AnyStr]: ... + +# +@overload +def temppath( + suffix: None = None, + prefix: None = None, + dir: None = None, + text: bool = False, +) -> _GeneratorContextManager[str]: ... +@overload +def temppath( + suffix: AnyStr | None, + prefix: AnyStr | None, + dir: GenericPath[AnyStr], + text: bool = False, +) -> _GeneratorContextManager[AnyStr]: ... +@overload +def temppath( + suffix: AnyStr | None = None, + prefix: AnyStr | None = None, + *, + dir: GenericPath[AnyStr], + text: bool = False, +) -> _GeneratorContextManager[AnyStr]: ... +@overload +def temppath( + suffix: AnyStr | None, + prefix: AnyStr, + dir: GenericPath[AnyStr] | None = None, + text: bool = False, +) -> _GeneratorContextManager[AnyStr]: ... +@overload +def temppath( + suffix: AnyStr | None = None, + *, + prefix: AnyStr, + dir: GenericPath[AnyStr] | None = None, + text: bool = False, +) -> _GeneratorContextManager[AnyStr]: ... +@overload +def temppath( + suffix: AnyStr, + prefix: AnyStr | None = None, + dir: GenericPath[AnyStr] | None = None, + text: bool = False, +) -> _GeneratorContextManager[AnyStr]: ... + +# +def check_support_sve(__cache: list[bool] = ..., /) -> bool: ... # stubdefaulter: ignore[missing-default] + +# +def decorate_methods( + cls: type, + decorator: Callable[[Callable[..., Any]], Any], + testmatch: _RegexLike | None = None, +) -> None: ... + +# +@overload +def run_threaded( + func: Callable[[], None], + max_workers: int = 8, + pass_count: bool = False, + pass_barrier: bool = False, + outer_iterations: int = 1, + prepare_args: None = None, +) -> None: ... +@overload +def run_threaded( + func: Callable[[*_Ts], None], + max_workers: int, + pass_count: bool, + pass_barrier: bool, + outer_iterations: int, + prepare_args: tuple[*_Ts], +) -> None: ... +@overload +def run_threaded( + func: Callable[[*_Ts], None], + max_workers: int = 8, + pass_count: bool = False, + pass_barrier: bool = False, + outer_iterations: int = 1, + *, + prepare_args: tuple[*_Ts], +) -> None: ... + +# +def runstring(astr: _StrLike | types.CodeType, dict: dict[str, Any] | None) -> Any: ... # noqa: ANN401 +def rundocs(filename: StrPath | None = None, raise_on_error: bool = True) -> None: ... +def measure(code_str: _StrLike | ast.AST, times: int = 1, label: str | None = None) -> float: ... +def break_cycles() -> None: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/overrides.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/overrides.py new file mode 100644 index 0000000000000000000000000000000000000000..61771c4c0b58d816bf52a1e5999807b6717071b9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/overrides.py @@ -0,0 +1,84 @@ +"""Tools for testing implementations of __array_function__ and ufunc overrides + + +""" + +import numpy._core.umath as _umath +from numpy import ufunc as _ufunc +from numpy._core.overrides import ARRAY_FUNCTIONS as _array_functions + + +def get_overridable_numpy_ufuncs(): + """List all numpy ufuncs overridable via `__array_ufunc__` + + Parameters + ---------- + None + + Returns + ------- + set + A set containing all overridable ufuncs in the public numpy API. + """ + ufuncs = {obj for obj in _umath.__dict__.values() + if isinstance(obj, _ufunc)} + return ufuncs + + +def allows_array_ufunc_override(func): + """Determine if a function can be overridden via `__array_ufunc__` + + Parameters + ---------- + func : callable + Function that may be overridable via `__array_ufunc__` + + Returns + ------- + bool + `True` if `func` is overridable via `__array_ufunc__` and + `False` otherwise. + + Notes + ----- + This function is equivalent to ``isinstance(func, np.ufunc)`` and + will work correctly for ufuncs defined outside of Numpy. + + """ + return isinstance(func, _ufunc) + + +def get_overridable_numpy_array_functions(): + """List all numpy functions overridable via `__array_function__` + + Parameters + ---------- + None + + Returns + ------- + set + A set containing all functions in the public numpy API that are + overridable via `__array_function__`. + + """ + # 'import numpy' doesn't import recfunctions, so make sure it's imported + # so ufuncs defined there show up in the ufunc listing + from numpy.lib import recfunctions # noqa: F401 + return _array_functions.copy() + +def allows_array_function_override(func): + """Determine if a Numpy function can be overridden via `__array_function__` + + Parameters + ---------- + func : callable + Function that may be overridable via `__array_function__` + + Returns + ------- + bool + `True` if `func` is a function in the Numpy API that is + overridable via `__array_function__` and `False` otherwise. + """ + return func in _array_functions diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/overrides.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/overrides.pyi new file mode 100644 index 0000000000000000000000000000000000000000..916154c155b131d4a9293f0276d8957000537bb9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/overrides.pyi @@ -0,0 +1,10 @@ +from collections.abc import Callable, Hashable +from typing import Any +from typing_extensions import TypeIs + +import numpy as np + +def get_overridable_numpy_ufuncs() -> set[np.ufunc]: ... +def get_overridable_numpy_array_functions() -> set[Callable[..., Any]]: ... +def allows_array_ufunc_override(func: object) -> TypeIs[np.ufunc]: ... +def allows_array_function_override(func: Hashable) -> bool: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/print_coercion_tables.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/print_coercion_tables.py new file mode 100644 index 0000000000000000000000000000000000000000..89f0de3932ede103633d13ec446d32c4db5d0c93 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/print_coercion_tables.py @@ -0,0 +1,207 @@ +#!/usr/bin/env python3 +"""Prints type-coercion tables for the built-in NumPy types + +""" +from collections import namedtuple + +import numpy as np +from numpy._core.numerictypes import obj2sctype + + +# Generic object that can be added, but doesn't do anything else +class GenericObject: + def __init__(self, v): + self.v = v + + def __add__(self, other): + return self + + def __radd__(self, other): + return self + + dtype = np.dtype('O') + +def print_cancast_table(ntypes): + print('X', end=' ') + for char in ntypes: + print(char, end=' ') + print() + for row in ntypes: + print(row, end=' ') + for col in ntypes: + if np.can_cast(row, col, "equiv"): + cast = "#" + elif np.can_cast(row, col, "safe"): + cast = "=" + elif np.can_cast(row, col, "same_kind"): + cast = "~" + elif np.can_cast(row, col, "unsafe"): + cast = "." + else: + cast = " " + print(cast, end=' ') + print() + +def print_coercion_table(ntypes, inputfirstvalue, inputsecondvalue, firstarray, + use_promote_types=False): + print('+', end=' ') + for char in ntypes: + print(char, end=' ') + print() + for row in ntypes: + if row == 'O': + rowtype = GenericObject + else: + rowtype = obj2sctype(row) + + print(row, end=' ') + for col in ntypes: + if col == 'O': + coltype = GenericObject + else: + coltype = obj2sctype(col) + try: + if firstarray: + rowvalue = np.array([rowtype(inputfirstvalue)], dtype=rowtype) + else: + rowvalue = rowtype(inputfirstvalue) + colvalue = coltype(inputsecondvalue) + if use_promote_types: + char = np.promote_types(rowvalue.dtype, colvalue.dtype).char + else: + value = np.add(rowvalue, colvalue) + if isinstance(value, np.ndarray): + char = value.dtype.char + else: + char = np.dtype(type(value)).char + except ValueError: + char = '!' + except OverflowError: + char = '@' + except TypeError: + char = '#' + print(char, end=' ') + print() + + +def print_new_cast_table(*, can_cast=True, legacy=False, flags=False): + """Prints new casts, the values given are default "can-cast" values, not + actual ones. + """ + from numpy._core._multiarray_tests import get_all_cast_information + + cast_table = { + -1: " ", + 0: "#", # No cast (classify as equivalent here) + 1: "#", # equivalent casting + 2: "=", # safe casting + 3: "~", # same-kind casting + 4: ".", # unsafe casting + } + flags_table = { + 0: "▗", 7: "█", + 1: "▚", 2: "▐", 4: "▄", + 3: "▜", 5: "▙", + 6: "▟", + } + + cast_info = namedtuple("cast_info", ["can_cast", "legacy", "flags"]) + no_cast_info = cast_info(" ", " ", " ") + + casts = get_all_cast_information() + table = {} + dtypes = set() + for cast in casts: + dtypes.add(cast["from"]) + dtypes.add(cast["to"]) + + if cast["from"] not in table: + table[cast["from"]] = {} + to_dict = table[cast["from"]] + + can_cast = cast_table[cast["casting"]] + legacy = "L" if cast["legacy"] else "." + flags = 0 + if cast["requires_pyapi"]: + flags |= 1 + if cast["supports_unaligned"]: + flags |= 2 + if cast["no_floatingpoint_errors"]: + flags |= 4 + + flags = flags_table[flags] + to_dict[cast["to"]] = cast_info(can_cast=can_cast, legacy=legacy, flags=flags) + + # The np.dtype(x.type) is a bit strange, because dtype classes do + # not expose much yet. + types = np.typecodes["All"] + + def sorter(x): + # This is a bit weird hack, to get a table as close as possible to + # the one printing all typecodes (but expecting user-dtypes). + dtype = np.dtype(x.type) + try: + indx = types.index(dtype.char) + except ValueError: + indx = np.inf + return (indx, dtype.char) + + dtypes = sorted(dtypes, key=sorter) + + def print_table(field="can_cast"): + print('X', end=' ') + for dt in dtypes: + print(np.dtype(dt.type).char, end=' ') + print() + for from_dt in dtypes: + print(np.dtype(from_dt.type).char, end=' ') + row = table.get(from_dt, {}) + for to_dt in dtypes: + print(getattr(row.get(to_dt, no_cast_info), field), end=' ') + print() + + if can_cast: + # Print the actual table: + print() + print("Casting: # is equivalent, = is safe, ~ is same-kind, and . is unsafe") + print() + print_table("can_cast") + + if legacy: + print() + print("L denotes a legacy cast . a non-legacy one.") + print() + print_table("legacy") + + if flags: + print() + print(f"{flags_table[0]}: no flags, " + f"{flags_table[1]}: PyAPI, " + f"{flags_table[2]}: supports unaligned, " + f"{flags_table[4]}: no-float-errors") + print() + print_table("flags") + + +if __name__ == '__main__': + print("can cast") + print_cancast_table(np.typecodes['All']) + print() + print("In these tables, ValueError is '!', OverflowError is '@', TypeError is '#'") + print() + print("scalar + scalar") + print_coercion_table(np.typecodes['All'], 0, 0, False) + print() + print("scalar + neg scalar") + print_coercion_table(np.typecodes['All'], 0, -1, False) + print() + print("array + scalar") + print_coercion_table(np.typecodes['All'], 0, 0, True) + print() + print("array + neg scalar") + print_coercion_table(np.typecodes['All'], 0, -1, True) + print() + print("promote_types") + print_coercion_table(np.typecodes['All'], 0, 0, False, True) + print("New casting type promotion:") + print_new_cast_table(can_cast=True, legacy=True, flags=True) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/print_coercion_tables.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/print_coercion_tables.pyi new file mode 100644 index 0000000000000000000000000000000000000000..f463a18c05e420bc2c0f3f90efbccd514a3d6f3b --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/print_coercion_tables.pyi @@ -0,0 +1,26 @@ +from collections.abc import Iterable +from typing import ClassVar, Generic, Self +from typing_extensions import TypeVar + +import numpy as np + +_VT_co = TypeVar("_VT_co", default=object, covariant=True) + +# undocumented +class GenericObject(Generic[_VT_co]): + dtype: ClassVar[np.dtype[np.object_]] = ... + v: _VT_co + + def __init__(self, /, v: _VT_co) -> None: ... + def __add__(self, other: object, /) -> Self: ... + def __radd__(self, other: object, /) -> Self: ... + +def print_cancast_table(ntypes: Iterable[str]) -> None: ... +def print_coercion_table( + ntypes: Iterable[str], + inputfirstvalue: int, + inputsecondvalue: int, + firstarray: bool, + use_promote_types: bool = False, +) -> None: ... +def print_new_cast_table(*, can_cast: bool = True, legacy: bool = False, flags: bool = False) -> None: ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/tests/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/tests/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/tests/__pycache__/__init__.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..bd1dc3cc503ff2dd99bea33b0fb36259df6958b7 Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/tests/__pycache__/__init__.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/tests/__pycache__/test_utils.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/tests/__pycache__/test_utils.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..547381ff88127a4a733bf8824f64025f8b965e71 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/tests/__pycache__/test_utils.cpython-311.pyc @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:c6c60ca9ca81c0eb6ba59d82c2ead1a2f05cb210b2b739f867e9648919a7786a +size 149858 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/tests/test_utils.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/tests/test_utils.py new file mode 100644 index 0000000000000000000000000000000000000000..6d43343ef98a31111978ba350914c32cd22d03e3 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/testing/tests/test_utils.py @@ -0,0 +1,2123 @@ +import itertools +import os +import re +import sys +import warnings +import weakref + +import pytest + +import numpy as np +import numpy._core._multiarray_umath as ncu +from numpy.testing import ( + HAS_REFCOUNT, + assert_, + assert_allclose, + assert_almost_equal, + assert_approx_equal, + assert_array_almost_equal, + assert_array_almost_equal_nulp, + assert_array_equal, + assert_array_less, + assert_array_max_ulp, + assert_equal, + assert_no_gc_cycles, + assert_no_warnings, + assert_raises, + assert_string_equal, + assert_warns, + build_err_msg, + clear_and_catch_warnings, + suppress_warnings, + tempdir, + temppath, +) + + +class _GenericTest: + + def _assert_func(self, *args, **kwargs): + pass + + def _test_equal(self, a, b): + self._assert_func(a, b) + + def _test_not_equal(self, a, b): + with assert_raises(AssertionError): + self._assert_func(a, b) + + def test_array_rank1_eq(self): + """Test two equal array of rank 1 are found equal.""" + a = np.array([1, 2]) + b = np.array([1, 2]) + + self._test_equal(a, b) + + def test_array_rank1_noteq(self): + """Test two different array of rank 1 are found not equal.""" + a = np.array([1, 2]) + b = np.array([2, 2]) + + self._test_not_equal(a, b) + + def test_array_rank2_eq(self): + """Test two equal array of rank 2 are found equal.""" + a = np.array([[1, 2], [3, 4]]) + b = np.array([[1, 2], [3, 4]]) + + self._test_equal(a, b) + + def test_array_diffshape(self): + """Test two arrays with different shapes are found not equal.""" + a = np.array([1, 2]) + b = np.array([[1, 2], [1, 2]]) + + self._test_not_equal(a, b) + + def test_objarray(self): + """Test object arrays.""" + a = np.array([1, 1], dtype=object) + self._test_equal(a, 1) + + def test_array_likes(self): + self._test_equal([1, 2, 3], (1, 2, 3)) + + +class TestArrayEqual(_GenericTest): + + def _assert_func(self, *args, **kwargs): + assert_array_equal(*args, **kwargs) + + def test_generic_rank1(self): + """Test rank 1 array for all dtypes.""" + def foo(t): + a = np.empty(2, t) + a.fill(1) + b = a.copy() + c = a.copy() + c.fill(0) + self._test_equal(a, b) + self._test_not_equal(c, b) + + # Test numeric types and object + for t in '?bhilqpBHILQPfdgFDG': + foo(t) + + # Test strings + for t in ['S1', 'U1']: + foo(t) + + def test_0_ndim_array(self): + x = np.array(473963742225900817127911193656584771) + y = np.array(18535119325151578301457182298393896) + + with pytest.raises(AssertionError) as exc_info: + self._assert_func(x, y) + msg = str(exc_info.value) + assert_('Mismatched elements: 1 / 1 (100%)\n' + in msg) + + y = x + self._assert_func(x, y) + + x = np.array(4395065348745.5643764887869876) + y = np.array(0) + expected_msg = ('Mismatched elements: 1 / 1 (100%)\n' + 'Max absolute difference among violations: ' + '4.39506535e+12\n' + 'Max relative difference among violations: inf\n') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y) + + x = y + self._assert_func(x, y) + + def test_generic_rank3(self): + """Test rank 3 array for all dtypes.""" + def foo(t): + a = np.empty((4, 2, 3), t) + a.fill(1) + b = a.copy() + c = a.copy() + c.fill(0) + self._test_equal(a, b) + self._test_not_equal(c, b) + + # Test numeric types and object + for t in '?bhilqpBHILQPfdgFDG': + foo(t) + + # Test strings + for t in ['S1', 'U1']: + foo(t) + + def test_nan_array(self): + """Test arrays with nan values in them.""" + a = np.array([1, 2, np.nan]) + b = np.array([1, 2, np.nan]) + + self._test_equal(a, b) + + c = np.array([1, 2, 3]) + self._test_not_equal(c, b) + + def test_string_arrays(self): + """Test two arrays with different shapes are found not equal.""" + a = np.array(['floupi', 'floupa']) + b = np.array(['floupi', 'floupa']) + + self._test_equal(a, b) + + c = np.array(['floupipi', 'floupa']) + + self._test_not_equal(c, b) + + def test_recarrays(self): + """Test record arrays.""" + a = np.empty(2, [('floupi', float), ('floupa', float)]) + a['floupi'] = [1, 2] + a['floupa'] = [1, 2] + b = a.copy() + + self._test_equal(a, b) + + c = np.empty(2, [('floupipi', float), + ('floupi', float), ('floupa', float)]) + c['floupipi'] = a['floupi'].copy() + c['floupa'] = a['floupa'].copy() + + with pytest.raises(TypeError): + self._test_not_equal(c, b) + + def test_masked_nan_inf(self): + # Regression test for gh-11121 + a = np.ma.MaskedArray([3., 4., 6.5], mask=[False, True, False]) + b = np.array([3., np.nan, 6.5]) + self._test_equal(a, b) + self._test_equal(b, a) + a = np.ma.MaskedArray([3., 4., 6.5], mask=[True, False, False]) + b = np.array([np.inf, 4., 6.5]) + self._test_equal(a, b) + self._test_equal(b, a) + + # Also provides test cases for gh-11121 + def test_masked_scalar(self): + # Test masked scalar vs. plain/masked scalar + for a_val, b_val, b_masked in itertools.product( + [3., np.nan, np.inf], + [3., 4., np.nan, np.inf, -np.inf], + [False, True], + ): + a = np.ma.MaskedArray(a_val, mask=True) + b = np.ma.MaskedArray(b_val, mask=True) if b_masked else np.array(b_val) + self._test_equal(a, b) + self._test_equal(b, a) + + # Test masked scalar vs. plain array + for a_val, b_val in itertools.product( + [3., np.nan, -np.inf], + itertools.product([3., 4., np.nan, np.inf, -np.inf], repeat=2), + ): + a = np.ma.MaskedArray(a_val, mask=True) + b = np.array(b_val) + self._test_equal(a, b) + self._test_equal(b, a) + + # Test masked scalar vs. masked array + for a_val, b_val, b_mask in itertools.product( + [3., np.nan, np.inf], + itertools.product([3., 4., np.nan, np.inf, -np.inf], repeat=2), + itertools.product([False, True], repeat=2), + ): + a = np.ma.MaskedArray(a_val, mask=True) + b = np.ma.MaskedArray(b_val, mask=b_mask) + self._test_equal(a, b) + self._test_equal(b, a) + + def test_subclass_that_overrides_eq(self): + # While we cannot guarantee testing functions will always work for + # subclasses, the tests should ideally rely only on subclasses having + # comparison operators, not on them being able to store booleans + # (which, e.g., astropy Quantity cannot usefully do). See gh-8452. + class MyArray(np.ndarray): + def __eq__(self, other): + return bool(np.equal(self, other).all()) + + def __ne__(self, other): + return not self == other + + a = np.array([1., 2.]).view(MyArray) + b = np.array([2., 3.]).view(MyArray) + assert_(type(a == a), bool) + assert_(a == a) + assert_(a != b) + self._test_equal(a, a) + self._test_not_equal(a, b) + self._test_not_equal(b, a) + + expected_msg = ('Mismatched elements: 1 / 2 (50%)\n' + 'Max absolute difference among violations: 1.\n' + 'Max relative difference among violations: 0.5') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._test_equal(a, b) + + c = np.array([0., 2.9]).view(MyArray) + expected_msg = ('Mismatched elements: 1 / 2 (50%)\n' + 'Max absolute difference among violations: 2.\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._test_equal(b, c) + + def test_subclass_that_does_not_implement_npall(self): + class MyArray(np.ndarray): + def __array_function__(self, *args, **kwargs): + return NotImplemented + + a = np.array([1., 2.]).view(MyArray) + b = np.array([2., 3.]).view(MyArray) + with assert_raises(TypeError): + np.all(a) + self._test_equal(a, a) + self._test_not_equal(a, b) + self._test_not_equal(b, a) + + def test_suppress_overflow_warnings(self): + # Based on issue #18992 + with pytest.raises(AssertionError): + with np.errstate(all="raise"): + np.testing.assert_array_equal( + np.array([1, 2, 3], np.float32), + np.array([1, 1e-40, 3], np.float32)) + + def test_array_vs_scalar_is_equal(self): + """Test comparing an array with a scalar when all values are equal.""" + a = np.array([1., 1., 1.]) + b = 1. + + self._test_equal(a, b) + + def test_array_vs_array_not_equal(self): + """Test comparing an array with a scalar when not all values equal.""" + a = np.array([34986, 545676, 439655, 563766]) + b = np.array([34986, 545676, 439655, 0]) + + expected_msg = ('Mismatched elements: 1 / 4 (25%)\n' + 'Mismatch at index:\n' + ' [3]: 563766 (ACTUAL), 0 (DESIRED)\n' + 'Max absolute difference among violations: 563766\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(a, b) + + a = np.array([34986, 545676, 439655.2, 563766]) + expected_msg = ('Mismatched elements: 2 / 4 (50%)\n' + 'Mismatch at indices:\n' + ' [2]: 439655.2 (ACTUAL), 439655 (DESIRED)\n' + ' [3]: 563766.0 (ACTUAL), 0 (DESIRED)\n' + 'Max absolute difference among violations: ' + '563766.\n' + 'Max relative difference among violations: ' + '4.54902139e-07') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(a, b) + + def test_array_vs_scalar_strict(self): + """Test comparing an array with a scalar with strict option.""" + a = np.array([1., 1., 1.]) + b = 1. + + with pytest.raises(AssertionError): + self._assert_func(a, b, strict=True) + + def test_array_vs_array_strict(self): + """Test comparing two arrays with strict option.""" + a = np.array([1., 1., 1.]) + b = np.array([1., 1., 1.]) + + self._assert_func(a, b, strict=True) + + def test_array_vs_float_array_strict(self): + """Test comparing two arrays with strict option.""" + a = np.array([1, 1, 1]) + b = np.array([1., 1., 1.]) + + with pytest.raises(AssertionError): + self._assert_func(a, b, strict=True) + + +class TestBuildErrorMessage: + + def test_build_err_msg_defaults(self): + x = np.array([1.00001, 2.00002, 3.00003]) + y = np.array([1.00002, 2.00003, 3.00004]) + err_msg = 'There is a mismatch' + + a = build_err_msg([x, y], err_msg) + b = ('\nItems are not equal: There is a mismatch\n ACTUAL: array([' + '1.00001, 2.00002, 3.00003])\n DESIRED: array([1.00002, ' + '2.00003, 3.00004])') + assert_equal(a, b) + + def test_build_err_msg_no_verbose(self): + x = np.array([1.00001, 2.00002, 3.00003]) + y = np.array([1.00002, 2.00003, 3.00004]) + err_msg = 'There is a mismatch' + + a = build_err_msg([x, y], err_msg, verbose=False) + b = '\nItems are not equal: There is a mismatch' + assert_equal(a, b) + + def test_build_err_msg_custom_names(self): + x = np.array([1.00001, 2.00002, 3.00003]) + y = np.array([1.00002, 2.00003, 3.00004]) + err_msg = 'There is a mismatch' + + a = build_err_msg([x, y], err_msg, names=('FOO', 'BAR')) + b = ('\nItems are not equal: There is a mismatch\n FOO: array([' + '1.00001, 2.00002, 3.00003])\n BAR: array([1.00002, 2.00003, ' + '3.00004])') + assert_equal(a, b) + + def test_build_err_msg_custom_precision(self): + x = np.array([1.000000001, 2.00002, 3.00003]) + y = np.array([1.000000002, 2.00003, 3.00004]) + err_msg = 'There is a mismatch' + + a = build_err_msg([x, y], err_msg, precision=10) + b = ('\nItems are not equal: There is a mismatch\n ACTUAL: array([' + '1.000000001, 2.00002 , 3.00003 ])\n DESIRED: array([' + '1.000000002, 2.00003 , 3.00004 ])') + assert_equal(a, b) + + +class TestEqual(TestArrayEqual): + + def _assert_func(self, *args, **kwargs): + assert_equal(*args, **kwargs) + + def test_nan_items(self): + self._assert_func(np.nan, np.nan) + self._assert_func([np.nan], [np.nan]) + self._test_not_equal(np.nan, [np.nan]) + self._test_not_equal(np.nan, 1) + + def test_inf_items(self): + self._assert_func(np.inf, np.inf) + self._assert_func([np.inf], [np.inf]) + self._test_not_equal(np.inf, [np.inf]) + + def test_datetime(self): + self._test_equal( + np.datetime64("2017-01-01", "s"), + np.datetime64("2017-01-01", "s") + ) + self._test_equal( + np.datetime64("2017-01-01", "s"), + np.datetime64("2017-01-01", "m") + ) + + # gh-10081 + self._test_not_equal( + np.datetime64("2017-01-01", "s"), + np.datetime64("2017-01-02", "s") + ) + self._test_not_equal( + np.datetime64("2017-01-01", "s"), + np.datetime64("2017-01-02", "m") + ) + + def test_nat_items(self): + # not a datetime + nadt_no_unit = np.datetime64("NaT") + nadt_s = np.datetime64("NaT", "s") + nadt_d = np.datetime64("NaT", "ns") + # not a timedelta + natd_no_unit = np.timedelta64("NaT") + natd_s = np.timedelta64("NaT", "s") + natd_d = np.timedelta64("NaT", "ns") + + dts = [nadt_no_unit, nadt_s, nadt_d] + tds = [natd_no_unit, natd_s, natd_d] + for a, b in itertools.product(dts, dts): + self._assert_func(a, b) + self._assert_func([a], [b]) + self._test_not_equal([a], b) + + for a, b in itertools.product(tds, tds): + self._assert_func(a, b) + self._assert_func([a], [b]) + self._test_not_equal([a], b) + + for a, b in itertools.product(tds, dts): + self._test_not_equal(a, b) + self._test_not_equal(a, [b]) + self._test_not_equal([a], [b]) + self._test_not_equal([a], np.datetime64("2017-01-01", "s")) + self._test_not_equal([b], np.datetime64("2017-01-01", "s")) + self._test_not_equal([a], np.timedelta64(123, "s")) + self._test_not_equal([b], np.timedelta64(123, "s")) + + def test_non_numeric(self): + self._assert_func('ab', 'ab') + self._test_not_equal('ab', 'abb') + + def test_complex_item(self): + self._assert_func(complex(1, 2), complex(1, 2)) + self._assert_func(complex(1, np.nan), complex(1, np.nan)) + self._test_not_equal(complex(1, np.nan), complex(1, 2)) + self._test_not_equal(complex(np.nan, 1), complex(1, np.nan)) + self._test_not_equal(complex(np.nan, np.inf), complex(np.nan, 2)) + + def test_negative_zero(self): + self._test_not_equal(ncu.PZERO, ncu.NZERO) + + def test_complex(self): + x = np.array([complex(1, 2), complex(1, np.nan)]) + y = np.array([complex(1, 2), complex(1, 2)]) + self._assert_func(x, x) + self._test_not_equal(x, y) + + def test_object(self): + # gh-12942 + import datetime + a = np.array([datetime.datetime(2000, 1, 1), + datetime.datetime(2000, 1, 2)]) + self._test_not_equal(a, a[::-1]) + + +class TestArrayAlmostEqual(_GenericTest): + + def _assert_func(self, *args, **kwargs): + assert_array_almost_equal(*args, **kwargs) + + def test_closeness(self): + # Note that in the course of time we ended up with + # `abs(x - y) < 1.5 * 10**(-decimal)` + # instead of the previously documented + # `abs(x - y) < 0.5 * 10**(-decimal)` + # so this check serves to preserve the wrongness. + + # test scalars + expected_msg = ('Mismatched elements: 1 / 1 (100%)\n' + 'Max absolute difference among violations: 1.5\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(1.5, 0.0, decimal=0) + + # test arrays + self._assert_func([1.499999], [0.0], decimal=0) + + expected_msg = ('Mismatched elements: 1 / 1 (100%)\n' + 'Mismatch at index:\n' + ' [0]: 1.5 (ACTUAL), 0.0 (DESIRED)\n' + 'Max absolute difference among violations: 1.5\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func([1.5], [0.0], decimal=0) + + a = [1.4999999, 0.00003] + b = [1.49999991, 0] + expected_msg = ('Mismatched elements: 1 / 2 (50%)\n' + 'Mismatch at index:\n' + ' [1]: 3e-05 (ACTUAL), 0.0 (DESIRED)\n' + 'Max absolute difference among violations: 3.e-05\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(a, b, decimal=7) + + expected_msg = ('Mismatched elements: 1 / 2 (50%)\n' + 'Mismatch at index:\n' + ' [1]: 0.0 (ACTUAL), 3e-05 (DESIRED)\n' + 'Max absolute difference among violations: 3.e-05\n' + 'Max relative difference among violations: 1.') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(b, a, decimal=7) + + def test_simple(self): + x = np.array([1234.2222]) + y = np.array([1234.2223]) + + self._assert_func(x, y, decimal=3) + self._assert_func(x, y, decimal=4) + + expected_msg = ('Mismatched elements: 1 / 1 (100%)\n' + 'Mismatch at index:\n' + ' [0]: 1234.2222 (ACTUAL), 1234.2223 (DESIRED)\n' + 'Max absolute difference among violations: ' + '1.e-04\n' + 'Max relative difference among violations: ' + '8.10226812e-08') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y, decimal=5) + + def test_array_vs_scalar(self): + a = [5498.42354, 849.54345, 0.00] + b = 5498.42354 + expected_msg = ('Mismatched elements: 2 / 3 (66.7%)\n' + 'Mismatch at indices:\n' + ' [1]: 849.54345 (ACTUAL), 5498.42354 (DESIRED)\n' + ' [2]: 0.0 (ACTUAL), 5498.42354 (DESIRED)\n' + 'Max absolute difference among violations: ' + '5498.42354\n' + 'Max relative difference among violations: 1.') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(a, b, decimal=9) + + expected_msg = ('Mismatched elements: 2 / 3 (66.7%)\n' + 'Mismatch at indices:\n' + ' [1]: 5498.42354 (ACTUAL), 849.54345 (DESIRED)\n' + ' [2]: 5498.42354 (ACTUAL), 0.0 (DESIRED)\n' + 'Max absolute difference among violations: ' + '5498.42354\n' + 'Max relative difference among violations: 5.4722099') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(b, a, decimal=9) + + a = [5498.42354, 0.00] + expected_msg = ('Mismatched elements: 1 / 2 (50%)\n' + 'Mismatch at index:\n' + ' [1]: 5498.42354 (ACTUAL), 0.0 (DESIRED)\n' + 'Max absolute difference among violations: ' + '5498.42354\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(b, a, decimal=7) + + b = 0 + expected_msg = ('Mismatched elements: 1 / 2 (50%)\n' + 'Mismatch at index:\n' + ' [0]: 5498.42354 (ACTUAL), 0 (DESIRED)\n' + 'Max absolute difference among violations: ' + '5498.42354\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(a, b, decimal=7) + + def test_nan(self): + anan = np.array([np.nan]) + aone = np.array([1]) + ainf = np.array([np.inf]) + self._assert_func(anan, anan) + assert_raises(AssertionError, + lambda: self._assert_func(anan, aone)) + assert_raises(AssertionError, + lambda: self._assert_func(anan, ainf)) + assert_raises(AssertionError, + lambda: self._assert_func(ainf, anan)) + + def test_inf(self): + a = np.array([[1., 2.], [3., 4.]]) + b = a.copy() + a[0, 0] = np.inf + assert_raises(AssertionError, + lambda: self._assert_func(a, b)) + b[0, 0] = -np.inf + assert_raises(AssertionError, + lambda: self._assert_func(a, b)) + + def test_complex_inf(self): + a = np.array([np.inf + 1.j, 2. + 1.j, 3. + 1.j]) + b = a.copy() + self._assert_func(a, b) + b[1] = 3. + 1.j + expected_msg = ('Mismatched elements: 1 / 3 (33.3%)\n' + 'Mismatch at index:\n' + ' [1]: (2+1j) (ACTUAL), (3+1j) (DESIRED)\n' + 'Max absolute difference among violations: 1.\n') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(a, b) + + def test_subclass(self): + a = np.array([[1., 2.], [3., 4.]]) + b = np.ma.masked_array([[1., 2.], [0., 4.]], + [[False, False], [True, False]]) + self._assert_func(a, b) + self._assert_func(b, a) + self._assert_func(b, b) + + # Test fully masked as well (see gh-11123). + a = np.ma.MaskedArray(3.5, mask=True) + b = np.array([3., 4., 6.5]) + self._test_equal(a, b) + self._test_equal(b, a) + a = np.ma.masked + b = np.array([3., 4., 6.5]) + self._test_equal(a, b) + self._test_equal(b, a) + a = np.ma.MaskedArray([3., 4., 6.5], mask=[True, True, True]) + b = np.array([1., 2., 3.]) + self._test_equal(a, b) + self._test_equal(b, a) + a = np.ma.MaskedArray([3., 4., 6.5], mask=[True, True, True]) + b = np.array(1.) + self._test_equal(a, b) + self._test_equal(b, a) + + def test_subclass_2(self): + # While we cannot guarantee testing functions will always work for + # subclasses, the tests should ideally rely only on subclasses having + # comparison operators, not on them being able to store booleans + # (which, e.g., astropy Quantity cannot usefully do). See gh-8452. + class MyArray(np.ndarray): + def __eq__(self, other): + return super().__eq__(other).view(np.ndarray) + + def __lt__(self, other): + return super().__lt__(other).view(np.ndarray) + + def all(self, *args, **kwargs): + return all(self) + + a = np.array([1., 2.]).view(MyArray) + self._assert_func(a, a) + + z = np.array([True, True]).view(MyArray) + all(z) + b = np.array([1., 202]).view(MyArray) + expected_msg = ('Mismatched elements: 1 / 2 (50%)\n' + 'Mismatch at index:\n' + ' [1]: 2.0 (ACTUAL), 202.0 (DESIRED)\n' + 'Max absolute difference among violations: 200.\n' + 'Max relative difference among violations: 0.99009') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(a, b) + + def test_subclass_that_cannot_be_bool(self): + # While we cannot guarantee testing functions will always work for + # subclasses, the tests should ideally rely only on subclasses having + # comparison operators, not on them being able to store booleans + # (which, e.g., astropy Quantity cannot usefully do). See gh-8452. + class MyArray(np.ndarray): + def __eq__(self, other): + return super().__eq__(other).view(np.ndarray) + + def __lt__(self, other): + return super().__lt__(other).view(np.ndarray) + + def all(self, *args, **kwargs): + raise NotImplementedError + + a = np.array([1., 2.]).view(MyArray) + self._assert_func(a, a) + + +class TestAlmostEqual(_GenericTest): + + def _assert_func(self, *args, **kwargs): + assert_almost_equal(*args, **kwargs) + + def test_closeness(self): + # Note that in the course of time we ended up with + # `abs(x - y) < 1.5 * 10**(-decimal)` + # instead of the previously documented + # `abs(x - y) < 0.5 * 10**(-decimal)` + # so this check serves to preserve the wrongness. + + # test scalars + self._assert_func(1.499999, 0.0, decimal=0) + assert_raises(AssertionError, + lambda: self._assert_func(1.5, 0.0, decimal=0)) + + # test arrays + self._assert_func([1.499999], [0.0], decimal=0) + assert_raises(AssertionError, + lambda: self._assert_func([1.5], [0.0], decimal=0)) + + def test_nan_item(self): + self._assert_func(np.nan, np.nan) + assert_raises(AssertionError, + lambda: self._assert_func(np.nan, 1)) + assert_raises(AssertionError, + lambda: self._assert_func(np.nan, np.inf)) + assert_raises(AssertionError, + lambda: self._assert_func(np.inf, np.nan)) + + def test_inf_item(self): + self._assert_func(np.inf, np.inf) + self._assert_func(-np.inf, -np.inf) + assert_raises(AssertionError, + lambda: self._assert_func(np.inf, 1)) + assert_raises(AssertionError, + lambda: self._assert_func(-np.inf, np.inf)) + + def test_simple_item(self): + self._test_not_equal(1, 2) + + def test_complex_item(self): + self._assert_func(complex(1, 2), complex(1, 2)) + self._assert_func(complex(1, np.nan), complex(1, np.nan)) + self._assert_func(complex(np.inf, np.nan), complex(np.inf, np.nan)) + self._test_not_equal(complex(1, np.nan), complex(1, 2)) + self._test_not_equal(complex(np.nan, 1), complex(1, np.nan)) + self._test_not_equal(complex(np.nan, np.inf), complex(np.nan, 2)) + + def test_complex(self): + x = np.array([complex(1, 2), complex(1, np.nan)]) + z = np.array([complex(1, 2), complex(np.nan, 1)]) + y = np.array([complex(1, 2), complex(1, 2)]) + self._assert_func(x, x) + self._test_not_equal(x, y) + self._test_not_equal(x, z) + + def test_error_message(self): + """Check the message is formatted correctly for the decimal value. + Also check the message when input includes inf or nan (gh12200)""" + x = np.array([1.00000000001, 2.00000000002, 3.00003]) + y = np.array([1.00000000002, 2.00000000003, 3.00004]) + + # Test with a different amount of decimal digits + expected_msg = ('Mismatched elements: 3 / 3 (100%)\n' + 'Mismatch at indices:\n' + ' [0]: 1.00000000001 (ACTUAL), 1.00000000002 (DESIRED)\n' + ' [1]: 2.00000000002 (ACTUAL), 2.00000000003 (DESIRED)\n' + ' [2]: 3.00003 (ACTUAL), 3.00004 (DESIRED)\n' + 'Max absolute difference among violations: 1.e-05\n' + 'Max relative difference among violations: ' + '3.33328889e-06\n' + ' ACTUAL: array([1.00000000001, ' + '2.00000000002, ' + '3.00003 ])\n' + ' DESIRED: array([1.00000000002, 2.00000000003, ' + '3.00004 ])') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y, decimal=12) + + # With the default value of decimal digits, only the 3rd element + # differs. Note that we only check for the formatting of the arrays + # themselves. + expected_msg = ('Mismatched elements: 1 / 3 (33.3%)\n' + 'Mismatch at index:\n' + ' [2]: 3.00003 (ACTUAL), 3.00004 (DESIRED)\n' + 'Max absolute difference among violations: 1.e-05\n' + 'Max relative difference among violations: ' + '3.33328889e-06\n' + ' ACTUAL: array([1. , 2. , 3.00003])\n' + ' DESIRED: array([1. , 2. , 3.00004])') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y) + + # Check the error message when input includes inf + x = np.array([np.inf, 0]) + y = np.array([np.inf, 1]) + expected_msg = ('Mismatched elements: 1 / 2 (50%)\n' + 'Mismatch at index:\n' + ' [1]: 0.0 (ACTUAL), 1.0 (DESIRED)\n' + 'Max absolute difference among violations: 1.\n' + 'Max relative difference among violations: 1.\n' + ' ACTUAL: array([inf, 0.])\n' + ' DESIRED: array([inf, 1.])') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y) + + # Check the error message when dividing by zero + x = np.array([1, 2]) + y = np.array([0, 0]) + expected_msg = ('Mismatched elements: 2 / 2 (100%)\n' + 'Mismatch at indices:\n' + ' [0]: 1 (ACTUAL), 0 (DESIRED)\n' + ' [1]: 2 (ACTUAL), 0 (DESIRED)\n' + 'Max absolute difference among violations: 2\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y) + + def test_error_message_2(self): + """Check the message is formatted correctly """ + """when either x or y is a scalar.""" + x = 2 + y = np.ones(20) + expected_msg = ('Mismatched elements: 20 / 20 (100%)\n' + 'First 5 mismatches are at indices:\n' + ' [0]: 2 (ACTUAL), 1.0 (DESIRED)\n' + ' [1]: 2 (ACTUAL), 1.0 (DESIRED)\n' + ' [2]: 2 (ACTUAL), 1.0 (DESIRED)\n' + ' [3]: 2 (ACTUAL), 1.0 (DESIRED)\n' + ' [4]: 2 (ACTUAL), 1.0 (DESIRED)\n' + 'Max absolute difference among violations: 1.\n' + 'Max relative difference among violations: 1.') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y) + + y = 2 + x = np.ones(20) + expected_msg = ('Mismatched elements: 20 / 20 (100%)\n' + 'First 5 mismatches are at indices:\n' + ' [0]: 1.0 (ACTUAL), 2 (DESIRED)\n' + ' [1]: 1.0 (ACTUAL), 2 (DESIRED)\n' + ' [2]: 1.0 (ACTUAL), 2 (DESIRED)\n' + ' [3]: 1.0 (ACTUAL), 2 (DESIRED)\n' + ' [4]: 1.0 (ACTUAL), 2 (DESIRED)\n' + 'Max absolute difference among violations: 1.\n' + 'Max relative difference among violations: 0.5') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y) + + def test_subclass_that_cannot_be_bool(self): + # While we cannot guarantee testing functions will always work for + # subclasses, the tests should ideally rely only on subclasses having + # comparison operators, not on them being able to store booleans + # (which, e.g., astropy Quantity cannot usefully do). See gh-8452. + class MyArray(np.ndarray): + def __eq__(self, other): + return super().__eq__(other).view(np.ndarray) + + def __lt__(self, other): + return super().__lt__(other).view(np.ndarray) + + def all(self, *args, **kwargs): + raise NotImplementedError + + a = np.array([1., 2.]).view(MyArray) + self._assert_func(a, a) + + +class TestApproxEqual: + + def _assert_func(self, *args, **kwargs): + assert_approx_equal(*args, **kwargs) + + def test_simple_0d_arrays(self): + x = np.array(1234.22) + y = np.array(1234.23) + + self._assert_func(x, y, significant=5) + self._assert_func(x, y, significant=6) + assert_raises(AssertionError, + lambda: self._assert_func(x, y, significant=7)) + + def test_simple_items(self): + x = 1234.22 + y = 1234.23 + + self._assert_func(x, y, significant=4) + self._assert_func(x, y, significant=5) + self._assert_func(x, y, significant=6) + assert_raises(AssertionError, + lambda: self._assert_func(x, y, significant=7)) + + def test_nan_array(self): + anan = np.array(np.nan) + aone = np.array(1) + ainf = np.array(np.inf) + self._assert_func(anan, anan) + assert_raises(AssertionError, lambda: self._assert_func(anan, aone)) + assert_raises(AssertionError, lambda: self._assert_func(anan, ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, anan)) + + def test_nan_items(self): + anan = np.array(np.nan) + aone = np.array(1) + ainf = np.array(np.inf) + self._assert_func(anan, anan) + assert_raises(AssertionError, lambda: self._assert_func(anan, aone)) + assert_raises(AssertionError, lambda: self._assert_func(anan, ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, anan)) + + +class TestArrayAssertLess: + + def _assert_func(self, *args, **kwargs): + assert_array_less(*args, **kwargs) + + def test_simple_arrays(self): + x = np.array([1.1, 2.2]) + y = np.array([1.2, 2.3]) + + self._assert_func(x, y) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + y = np.array([1.0, 2.3]) + + assert_raises(AssertionError, lambda: self._assert_func(x, y)) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + a = np.array([1, 3, 6, 20]) + b = np.array([2, 4, 6, 8]) + + expected_msg = ('Mismatched elements: 2 / 4 (50%)\n' + 'Mismatch at indices:\n' + ' [2]: 6 (x), 6 (y)\n' + ' [3]: 20 (x), 8 (y)\n' + 'Max absolute difference among violations: 12\n' + 'Max relative difference among violations: 1.5') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(a, b) + + def test_rank2(self): + x = np.array([[1.1, 2.2], [3.3, 4.4]]) + y = np.array([[1.2, 2.3], [3.4, 4.5]]) + + self._assert_func(x, y) + expected_msg = ('Mismatched elements: 4 / 4 (100%)\n' + 'Mismatch at indices:\n' + ' [0, 0]: 1.2 (x), 1.1 (y)\n' + ' [0, 1]: 2.3 (x), 2.2 (y)\n' + ' [1, 0]: 3.4 (x), 3.3 (y)\n' + ' [1, 1]: 4.5 (x), 4.4 (y)\n' + 'Max absolute difference among violations: 0.1\n' + 'Max relative difference among violations: 0.09090909') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(y, x) + + y = np.array([[1.0, 2.3], [3.4, 4.5]]) + assert_raises(AssertionError, lambda: self._assert_func(x, y)) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + def test_rank3(self): + x = np.ones(shape=(2, 2, 2)) + y = np.ones(shape=(2, 2, 2)) + 1 + + self._assert_func(x, y) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + y[0, 0, 0] = 0 + expected_msg = ('Mismatched elements: 1 / 8 (12.5%)\n' + 'Mismatch at index:\n' + ' [0, 0, 0]: 1.0 (x), 0.0 (y)\n' + 'Max absolute difference among violations: 1.\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y) + + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + def test_simple_items(self): + x = 1.1 + y = 2.2 + + self._assert_func(x, y) + expected_msg = ('Mismatched elements: 1 / 1 (100%)\n' + 'Max absolute difference among violations: 1.1\n' + 'Max relative difference among violations: 1.') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(y, x) + + y = np.array([2.2, 3.3]) + + self._assert_func(x, y) + assert_raises(AssertionError, lambda: self._assert_func(y, x)) + + y = np.array([1.0, 3.3]) + + assert_raises(AssertionError, lambda: self._assert_func(x, y)) + + def test_simple_items_and_array(self): + x = np.array([[621.345454, 390.5436, 43.54657, 626.4535], + [54.54, 627.3399, 13., 405.5435], + [543.545, 8.34, 91.543, 333.3]]) + y = 627.34 + self._assert_func(x, y) + + y = 8.339999 + self._assert_func(y, x) + + x = np.array([[3.4536, 2390.5436, 435.54657, 324525.4535], + [5449.54, 999090.54, 130303.54, 405.5435], + [543.545, 8.34, 91.543, 999090.53999]]) + y = 999090.54 + + expected_msg = ('Mismatched elements: 1 / 12 (8.33%)\n' + 'Mismatch at index:\n' + ' [1, 1]: 999090.54 (x), 999090.54 (y)\n' + 'Max absolute difference among violations: 0.\n' + 'Max relative difference among violations: 0.') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y) + + expected_msg = ('Mismatched elements: 12 / 12 (100%)\n' + 'First 5 mismatches are at indices:\n' + ' [0, 0]: 999090.54 (x), 3.4536 (y)\n' + ' [0, 1]: 999090.54 (x), 2390.5436 (y)\n' + ' [0, 2]: 999090.54 (x), 435.54657 (y)\n' + ' [0, 3]: 999090.54 (x), 324525.4535 (y)\n' + ' [1, 0]: 999090.54 (x), 5449.54 (y)\n' + 'Max absolute difference among violations: ' + '999087.0864\n' + 'Max relative difference among violations: ' + '289288.5934676') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(y, x) + + def test_zeroes(self): + x = np.array([546456., 0, 15.455]) + y = np.array(87654.) + + expected_msg = ('Mismatched elements: 1 / 3 (33.3%)\n' + 'Mismatch at index:\n' + ' [0]: 546456.0 (x), 87654.0 (y)\n' + 'Max absolute difference among violations: 458802.\n' + 'Max relative difference among violations: 5.23423917') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y) + + expected_msg = ('Mismatched elements: 2 / 3 (66.7%)\n' + 'Mismatch at indices:\n' + ' [1]: 87654.0 (x), 0.0 (y)\n' + ' [2]: 87654.0 (x), 15.455 (y)\n' + 'Max absolute difference among violations: 87654.\n' + 'Max relative difference among violations: ' + '5670.5626011') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(y, x) + + y = 0 + + expected_msg = ('Mismatched elements: 3 / 3 (100%)\n' + 'Mismatch at indices:\n' + ' [0]: 546456.0 (x), 0 (y)\n' + ' [1]: 0.0 (x), 0 (y)\n' + ' [2]: 15.455 (x), 0 (y)\n' + 'Max absolute difference among violations: 546456.\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(x, y) + + expected_msg = ('Mismatched elements: 1 / 3 (33.3%)\n' + 'Mismatch at index:\n' + ' [1]: 0 (x), 0.0 (y)\n' + 'Max absolute difference among violations: 0.\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + self._assert_func(y, x) + + def test_nan_noncompare(self): + anan = np.array(np.nan) + aone = np.array(1) + ainf = np.array(np.inf) + self._assert_func(anan, anan) + assert_raises(AssertionError, lambda: self._assert_func(aone, anan)) + assert_raises(AssertionError, lambda: self._assert_func(anan, aone)) + assert_raises(AssertionError, lambda: self._assert_func(anan, ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, anan)) + + def test_nan_noncompare_array(self): + x = np.array([1.1, 2.2, 3.3]) + anan = np.array(np.nan) + + assert_raises(AssertionError, lambda: self._assert_func(x, anan)) + assert_raises(AssertionError, lambda: self._assert_func(anan, x)) + + x = np.array([1.1, 2.2, np.nan]) + + assert_raises(AssertionError, lambda: self._assert_func(x, anan)) + assert_raises(AssertionError, lambda: self._assert_func(anan, x)) + + y = np.array([1.0, 2.0, np.nan]) + + self._assert_func(y, x) + assert_raises(AssertionError, lambda: self._assert_func(x, y)) + + def test_inf_compare(self): + aone = np.array(1) + ainf = np.array(np.inf) + + self._assert_func(aone, ainf) + self._assert_func(-ainf, aone) + self._assert_func(-ainf, ainf) + assert_raises(AssertionError, lambda: self._assert_func(ainf, aone)) + assert_raises(AssertionError, lambda: self._assert_func(aone, -ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, -ainf)) + assert_raises(AssertionError, lambda: self._assert_func(-ainf, -ainf)) + + def test_inf_compare_array(self): + x = np.array([1.1, 2.2, np.inf]) + ainf = np.array(np.inf) + + assert_raises(AssertionError, lambda: self._assert_func(x, ainf)) + assert_raises(AssertionError, lambda: self._assert_func(ainf, x)) + assert_raises(AssertionError, lambda: self._assert_func(x, -ainf)) + assert_raises(AssertionError, lambda: self._assert_func(-x, -ainf)) + assert_raises(AssertionError, lambda: self._assert_func(-ainf, -x)) + self._assert_func(-ainf, x) + + def test_strict(self): + """Test the behavior of the `strict` option.""" + x = np.zeros(3) + y = np.ones(()) + self._assert_func(x, y) + with pytest.raises(AssertionError): + self._assert_func(x, y, strict=True) + y = np.broadcast_to(y, x.shape) + self._assert_func(x, y) + with pytest.raises(AssertionError): + self._assert_func(x, y.astype(np.float32), strict=True) + +@pytest.mark.filterwarnings( + "ignore:.*NumPy warning suppression and assertion utilities are deprecated" + ".*:DeprecationWarning") +@pytest.mark.thread_unsafe(reason="checks global module & deprecated warnings") +class TestWarns: + + def test_warn(self): + def f(): + warnings.warn("yo") + return 3 + + before_filters = sys.modules['warnings'].filters[:] + assert_equal(assert_warns(UserWarning, f), 3) + after_filters = sys.modules['warnings'].filters + + assert_raises(AssertionError, assert_no_warnings, f) + assert_equal(assert_no_warnings(lambda x: x, 1), 1) + + # Check that the warnings state is unchanged + assert_equal(before_filters, after_filters, + "assert_warns does not preserver warnings state") + + def test_context_manager(self): + + before_filters = sys.modules['warnings'].filters[:] + with assert_warns(UserWarning): + warnings.warn("yo") + after_filters = sys.modules['warnings'].filters + + def no_warnings(): + with assert_no_warnings(): + warnings.warn("yo") + + assert_raises(AssertionError, no_warnings) + assert_equal(before_filters, after_filters, + "assert_warns does not preserver warnings state") + + def test_args(self): + def f(a=0, b=1): + warnings.warn("yo") + return a + b + + assert assert_warns(UserWarning, f, b=20) == 20 + + with pytest.raises(RuntimeError) as exc: + # assert_warns cannot do regexp matching, use pytest.warns + with assert_warns(UserWarning, match="A"): + warnings.warn("B", UserWarning) + assert "assert_warns" in str(exc) + assert "pytest.warns" in str(exc) + + with pytest.raises(RuntimeError) as exc: + # assert_warns cannot do regexp matching, use pytest.warns + with assert_warns(UserWarning, wrong="A"): + warnings.warn("B", UserWarning) + assert "assert_warns" in str(exc) + assert "pytest.warns" not in str(exc) + + def test_warn_wrong_warning(self): + def f(): + warnings.warn("yo", DeprecationWarning) + + failed = False + with warnings.catch_warnings(): + warnings.simplefilter("error", DeprecationWarning) + try: + # Should raise a DeprecationWarning + assert_warns(UserWarning, f) + failed = True + except DeprecationWarning: + pass + + if failed: + raise AssertionError("wrong warning caught by assert_warn") + + +class TestAssertAllclose: + + def test_simple(self): + x = 1e-3 + y = 1e-9 + + assert_allclose(x, y, atol=1) + assert_raises(AssertionError, assert_allclose, x, y) + + expected_msg = ('Mismatched elements: 1 / 1 (100%)\n' + 'Max absolute difference among violations: 0.001\n' + 'Max relative difference among violations: 999999.') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(x, y) + + z = 0 + expected_msg = ('Mismatched elements: 1 / 1 (100%)\n' + 'Max absolute difference among violations: 1.e-09\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(y, z) + + expected_msg = ('Mismatched elements: 1 / 1 (100%)\n' + 'Max absolute difference among violations: 1.e-09\n' + 'Max relative difference among violations: 1.') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(z, y) + + a = np.array([x, y, x, y]) + b = np.array([x, y, x, x]) + + assert_allclose(a, b, atol=1) + assert_raises(AssertionError, assert_allclose, a, b) + + b[-1] = y * (1 + 1e-8) + assert_allclose(a, b) + assert_raises(AssertionError, assert_allclose, a, b, rtol=1e-9) + + assert_allclose(6, 10, rtol=0.5) + assert_raises(AssertionError, assert_allclose, 10, 6, rtol=0.5) + + b = np.array([x, y, x, x]) + c = np.array([x, y, x, z]) + expected_msg = ('Mismatched elements: 1 / 4 (25%)\n' + 'Mismatch at index:\n' + ' [3]: 0.001 (ACTUAL), 0.0 (DESIRED)\n' + 'Max absolute difference among violations: 0.001\n' + 'Max relative difference among violations: inf') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(b, c) + + expected_msg = ('Mismatched elements: 1 / 4 (25%)\n' + 'Mismatch at index:\n' + ' [3]: 0.0 (ACTUAL), 0.001 (DESIRED)\n' + 'Max absolute difference among violations: 0.001\n' + 'Max relative difference among violations: 1.') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(c, b) + + def test_min_int(self): + a = np.array([np.iinfo(np.int_).min], dtype=np.int_) + # Should not raise: + assert_allclose(a, a) + + def test_report_fail_percentage(self): + a = np.array([1, 1, 1, 1]) + b = np.array([1, 1, 1, 2]) + + expected_msg = ('Mismatched elements: 1 / 4 (25%)\n' + 'Mismatch at index:\n' + ' [3]: 1 (ACTUAL), 2 (DESIRED)\n' + 'Max absolute difference among violations: 1\n' + 'Max relative difference among violations: 0.5') + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(a, b) + + def test_equal_nan(self): + a = np.array([np.nan]) + b = np.array([np.nan]) + # Should not raise: + assert_allclose(a, b, equal_nan=True) + + a = np.array([complex(np.nan, np.inf)]) + b = np.array([complex(np.nan, np.inf)]) + assert_allclose(a, b, equal_nan=True) + b = np.array([complex(np.nan, -np.inf)]) + assert_allclose(a, b, equal_nan=True) + + def test_not_equal_nan(self): + a = np.array([np.nan]) + b = np.array([np.nan]) + assert_raises(AssertionError, assert_allclose, a, b, equal_nan=False) + + a = np.array([complex(np.nan, np.inf)]) + b = np.array([complex(np.nan, np.inf)]) + assert_raises(AssertionError, assert_allclose, a, b, equal_nan=False) + + def test_equal_nan_default(self): + # Make sure equal_nan default behavior remains unchanged. (All + # of these functions use assert_array_compare under the hood.) + # None of these should raise. + a = np.array([np.nan]) + b = np.array([np.nan]) + assert_array_equal(a, b) + assert_array_almost_equal(a, b) + assert_array_less(a, b) + assert_allclose(a, b) + + def test_report_max_relative_error(self): + a = np.array([0, 1]) + b = np.array([0, 2]) + + expected_msg = 'Max relative difference among violations: 0.5' + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(a, b) + + def test_timedelta(self): + # see gh-18286 + a = np.array([[1, 2, 3, "NaT"]], dtype="m8[ns]") + assert_allclose(a, a) + + def test_error_message_unsigned(self): + """Check the message is formatted correctly when overflow can occur + (gh21768)""" + # Ensure to test for potential overflow in the case of: + # x - y + # and + # y - x + x = np.asarray([0, 1, 8], dtype='uint8') + y = np.asarray([4, 4, 4], dtype='uint8') + expected_msg = 'Max absolute difference among violations: 4' + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(x, y, atol=3) + + def test_strict(self): + """Test the behavior of the `strict` option.""" + x = np.ones(3) + y = np.ones(()) + assert_allclose(x, y) + with pytest.raises(AssertionError): + assert_allclose(x, y, strict=True) + assert_allclose(x, x) + with pytest.raises(AssertionError): + assert_allclose(x, x.astype(np.float32), strict=True) + + def test_infs(self): + a = np.array([np.inf]) + b = np.array([np.inf]) + assert_allclose(a, b) + + b = np.array([3.]) + expected_msg = 'inf location mismatch:' + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(a, b) + + b = np.array([-np.inf]) + expected_msg = 'inf values mismatch:' + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(a, b) + b = np.array([complex(np.inf, 1.)]) + expected_msg = 'inf values mismatch:' + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(a, b) + + a = np.array([complex(np.inf, 1.)]) + b = np.array([complex(np.inf, 1.)]) + assert_allclose(a, b) + + b = np.array([complex(np.inf, 2.)]) + expected_msg = 'inf values mismatch:' + with pytest.raises(AssertionError, match=re.escape(expected_msg)): + assert_allclose(a, b) + +class TestArrayAlmostEqualNulp: + + def test_float64_pass(self): + # The number of units of least precision + # In this case, use a few places above the lowest level (ie nulp=1) + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float64) + x = 10**x + x = np.r_[-x, x] + + # Addition + eps = np.finfo(x.dtype).eps + y = x + x * eps * nulp / 2. + assert_array_almost_equal_nulp(x, y, nulp) + + # Subtraction + epsneg = np.finfo(x.dtype).epsneg + y = x - x * epsneg * nulp / 2. + assert_array_almost_equal_nulp(x, y, nulp) + + def test_float64_fail(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float64) + x = 10**x + x = np.r_[-x, x] + + eps = np.finfo(x.dtype).eps + y = x + x * eps * nulp * 2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x * epsneg * nulp * 2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + def test_float64_ignore_nan(self): + # Ignore ULP differences between various NAN's + # Note that MIPS may reverse quiet and signaling nans + # so we use the builtin version as a base. + offset = np.uint64(0xffffffff) + nan1_i64 = np.array(np.nan, dtype=np.float64).view(np.uint64) + nan2_i64 = nan1_i64 ^ offset # nan payload on MIPS is all ones. + nan1_f64 = nan1_i64.view(np.float64) + nan2_f64 = nan2_i64.view(np.float64) + assert_array_max_ulp(nan1_f64, nan2_f64, 0) + + def test_float32_pass(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float32) + x = 10**x + x = np.r_[-x, x] + + eps = np.finfo(x.dtype).eps + y = x + x * eps * nulp / 2. + assert_array_almost_equal_nulp(x, y, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x * epsneg * nulp / 2. + assert_array_almost_equal_nulp(x, y, nulp) + + def test_float32_fail(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float32) + x = 10**x + x = np.r_[-x, x] + + eps = np.finfo(x.dtype).eps + y = x + x * eps * nulp * 2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x * epsneg * nulp * 2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + def test_float32_ignore_nan(self): + # Ignore ULP differences between various NAN's + # Note that MIPS may reverse quiet and signaling nans + # so we use the builtin version as a base. + offset = np.uint32(0xffff) + nan1_i32 = np.array(np.nan, dtype=np.float32).view(np.uint32) + nan2_i32 = nan1_i32 ^ offset # nan payload on MIPS is all ones. + nan1_f32 = nan1_i32.view(np.float32) + nan2_f32 = nan2_i32.view(np.float32) + assert_array_max_ulp(nan1_f32, nan2_f32, 0) + + def test_float16_pass(self): + nulp = 5 + x = np.linspace(-4, 4, 10, dtype=np.float16) + x = 10**x + x = np.r_[-x, x] + + eps = np.finfo(x.dtype).eps + y = x + x * eps * nulp / 2. + assert_array_almost_equal_nulp(x, y, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x * epsneg * nulp / 2. + assert_array_almost_equal_nulp(x, y, nulp) + + def test_float16_fail(self): + nulp = 5 + x = np.linspace(-4, 4, 10, dtype=np.float16) + x = 10**x + x = np.r_[-x, x] + + eps = np.finfo(x.dtype).eps + y = x + x * eps * nulp * 2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x * epsneg * nulp * 2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + x, y, nulp) + + def test_float16_ignore_nan(self): + # Ignore ULP differences between various NAN's + # Note that MIPS may reverse quiet and signaling nans + # so we use the builtin version as a base. + offset = np.uint16(0xff) + nan1_i16 = np.array(np.nan, dtype=np.float16).view(np.uint16) + nan2_i16 = nan1_i16 ^ offset # nan payload on MIPS is all ones. + nan1_f16 = nan1_i16.view(np.float16) + nan2_f16 = nan2_i16.view(np.float16) + assert_array_max_ulp(nan1_f16, nan2_f16, 0) + + def test_complex128_pass(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float64) + x = 10**x + x = np.r_[-x, x] + xi = x + x * 1j + + eps = np.finfo(x.dtype).eps + y = x + x * eps * nulp / 2. + assert_array_almost_equal_nulp(xi, x + y * 1j, nulp) + assert_array_almost_equal_nulp(xi, y + x * 1j, nulp) + # The test condition needs to be at least a factor of sqrt(2) smaller + # because the real and imaginary parts both change + y = x + x * eps * nulp / 4. + assert_array_almost_equal_nulp(xi, y + y * 1j, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x * epsneg * nulp / 2. + assert_array_almost_equal_nulp(xi, x + y * 1j, nulp) + assert_array_almost_equal_nulp(xi, y + x * 1j, nulp) + y = x - x * epsneg * nulp / 4. + assert_array_almost_equal_nulp(xi, y + y * 1j, nulp) + + def test_complex128_fail(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float64) + x = 10**x + x = np.r_[-x, x] + xi = x + x * 1j + + eps = np.finfo(x.dtype).eps + y = x + x * eps * nulp * 2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, x + y * 1j, nulp) + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + x * 1j, nulp) + # The test condition needs to be at least a factor of sqrt(2) smaller + # because the real and imaginary parts both change + y = x + x * eps * nulp + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + y * 1j, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x * epsneg * nulp * 2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, x + y * 1j, nulp) + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + x * 1j, nulp) + y = x - x * epsneg * nulp + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + y * 1j, nulp) + + def test_complex64_pass(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float32) + x = 10**x + x = np.r_[-x, x] + xi = x + x * 1j + + eps = np.finfo(x.dtype).eps + y = x + x * eps * nulp / 2. + assert_array_almost_equal_nulp(xi, x + y * 1j, nulp) + assert_array_almost_equal_nulp(xi, y + x * 1j, nulp) + y = x + x * eps * nulp / 4. + assert_array_almost_equal_nulp(xi, y + y * 1j, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x * epsneg * nulp / 2. + assert_array_almost_equal_nulp(xi, x + y * 1j, nulp) + assert_array_almost_equal_nulp(xi, y + x * 1j, nulp) + y = x - x * epsneg * nulp / 4. + assert_array_almost_equal_nulp(xi, y + y * 1j, nulp) + + def test_complex64_fail(self): + nulp = 5 + x = np.linspace(-20, 20, 50, dtype=np.float32) + x = 10**x + x = np.r_[-x, x] + xi = x + x * 1j + + eps = np.finfo(x.dtype).eps + y = x + x * eps * nulp * 2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, x + y * 1j, nulp) + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + x * 1j, nulp) + y = x + x * eps * nulp + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + y * 1j, nulp) + + epsneg = np.finfo(x.dtype).epsneg + y = x - x * epsneg * nulp * 2. + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, x + y * 1j, nulp) + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + x * 1j, nulp) + y = x - x * epsneg * nulp + assert_raises(AssertionError, assert_array_almost_equal_nulp, + xi, y + y * 1j, nulp) + + +class TestULP: + + def test_equal(self): + x = np.random.randn(10) + assert_array_max_ulp(x, x, maxulp=0) + + def test_single(self): + # Generate 1 + small deviation, check that adding eps gives a few UNL + x = np.ones(10).astype(np.float32) + x += 0.01 * np.random.randn(10).astype(np.float32) + eps = np.finfo(np.float32).eps + assert_array_max_ulp(x, x + eps, maxulp=20) + + def test_double(self): + # Generate 1 + small deviation, check that adding eps gives a few UNL + x = np.ones(10).astype(np.float64) + x += 0.01 * np.random.randn(10).astype(np.float64) + eps = np.finfo(np.float64).eps + assert_array_max_ulp(x, x + eps, maxulp=200) + + def test_inf(self): + for dt in [np.float32, np.float64]: + inf = np.array([np.inf]).astype(dt) + big = np.array([np.finfo(dt).max]) + assert_array_max_ulp(inf, big, maxulp=200) + + def test_nan(self): + # Test that nan is 'far' from small, tiny, inf, max and min + for dt in [np.float32, np.float64]: + if dt == np.float32: + maxulp = 1e6 + else: + maxulp = 1e12 + inf = np.array([np.inf]).astype(dt) + nan = np.array([np.nan]).astype(dt) + big = np.array([np.finfo(dt).max]) + tiny = np.array([np.finfo(dt).tiny]) + zero = np.array([0.0]).astype(dt) + nzero = np.array([-0.0]).astype(dt) + assert_raises(AssertionError, + lambda: assert_array_max_ulp(nan, inf, + maxulp=maxulp)) + assert_raises(AssertionError, + lambda: assert_array_max_ulp(nan, big, + maxulp=maxulp)) + assert_raises(AssertionError, + lambda: assert_array_max_ulp(nan, tiny, + maxulp=maxulp)) + assert_raises(AssertionError, + lambda: assert_array_max_ulp(nan, zero, + maxulp=maxulp)) + assert_raises(AssertionError, + lambda: assert_array_max_ulp(nan, nzero, + maxulp=maxulp)) + + +class TestStringEqual: + def test_simple(self): + assert_string_equal("hello", "hello") + assert_string_equal("hello\nmultiline", "hello\nmultiline") + + with pytest.raises(AssertionError) as exc_info: + assert_string_equal("foo\nbar", "hello\nbar") + msg = str(exc_info.value) + assert_equal(msg, "Differences in strings:\n- foo\n+ hello") + + assert_raises(AssertionError, + lambda: assert_string_equal("foo", "hello")) + + def test_regex(self): + assert_string_equal("a+*b", "a+*b") + + assert_raises(AssertionError, + lambda: assert_string_equal("aaa", "a+b")) + + +def assert_warn_len_equal(mod, n_in_context): + try: + mod_warns = mod.__warningregistry__ + except AttributeError: + # the lack of a __warningregistry__ + # attribute means that no warning has + # occurred; this can be triggered in + # a parallel test scenario, while in + # a serial test scenario an initial + # warning (and therefore the attribute) + # are always created first + mod_warns = {} + + num_warns = len(mod_warns) + + if 'version' in mod_warns: + # Python adds a 'version' entry to the registry, + # do not count it. + num_warns -= 1 + + assert_equal(num_warns, n_in_context) + + +def test_warn_len_equal_call_scenarios(): + # assert_warn_len_equal is called under + # varying circumstances depending on serial + # vs. parallel test scenarios; this test + # simply aims to probe both code paths and + # check that no assertion is uncaught + + # parallel scenario -- no warning issued yet + class mod: + pass + + mod_inst = mod() + + assert_warn_len_equal(mod=mod_inst, + n_in_context=0) + + # serial test scenario -- the __warningregistry__ + # attribute should be present + class mod: + def __init__(self): + self.__warningregistry__ = {'warning1': 1, + 'warning2': 2} + + mod_inst = mod() + assert_warn_len_equal(mod=mod_inst, + n_in_context=2) + + +def _get_fresh_mod(): + # Get this module, with warning registry empty + my_mod = sys.modules[__name__] + try: + my_mod.__warningregistry__.clear() + except AttributeError: + # will not have a __warningregistry__ unless warning has been + # raised in the module at some point + pass + return my_mod + + +@pytest.mark.thread_unsafe(reason="checks global module & deprecated warnings") +def test_clear_and_catch_warnings(): + # Initial state of module, no warnings + my_mod = _get_fresh_mod() + assert_equal(getattr(my_mod, '__warningregistry__', {}), {}) + with clear_and_catch_warnings(modules=[my_mod]): + warnings.simplefilter('ignore') + warnings.warn('Some warning') + assert_equal(my_mod.__warningregistry__, {}) + # Without specified modules, don't clear warnings during context. + # catch_warnings doesn't make an entry for 'ignore'. + with clear_and_catch_warnings(): + warnings.simplefilter('ignore') + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + + # Manually adding two warnings to the registry: + my_mod.__warningregistry__ = {'warning1': 1, + 'warning2': 2} + + # Confirm that specifying module keeps old warning, does not add new + with clear_and_catch_warnings(modules=[my_mod]): + warnings.simplefilter('ignore') + warnings.warn('Another warning') + assert_warn_len_equal(my_mod, 2) + + # Another warning, no module spec it clears up registry + with clear_and_catch_warnings(): + warnings.simplefilter('ignore') + warnings.warn('Another warning') + assert_warn_len_equal(my_mod, 0) + + +@pytest.mark.filterwarnings( + "ignore:.*NumPy warning suppression and assertion utilities are deprecated" + ".*:DeprecationWarning") +@pytest.mark.thread_unsafe(reason="checks global module & deprecated warnings") +def test_suppress_warnings_module(): + # Initial state of module, no warnings + my_mod = _get_fresh_mod() + assert_equal(getattr(my_mod, '__warningregistry__', {}), {}) + + def warn_other_module(): + # Apply along axis is implemented in python; stacklevel=2 means + # we end up inside its module, not ours. + def warn(arr): + warnings.warn("Some warning 2", stacklevel=2) + return arr + np.apply_along_axis(warn, 0, [0]) + + # Test module based warning suppression: + assert_warn_len_equal(my_mod, 0) + with suppress_warnings() as sup: + sup.record(UserWarning) + # suppress warning from other module (may have .pyc ending), + # if apply_along_axis is moved, had to be changed. + sup.filter(module=np.lib._shape_base_impl) + warnings.warn("Some warning") + warn_other_module() + # Check that the suppression did test the file correctly (this module + # got filtered) + assert_equal(len(sup.log), 1) + assert_equal(sup.log[0].message.args[0], "Some warning") + assert_warn_len_equal(my_mod, 0) + sup = suppress_warnings() + # Will have to be changed if apply_along_axis is moved: + sup.filter(module=my_mod) + with sup: + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + # And test repeat works: + sup.filter(module=my_mod) + with sup: + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + + # Without specified modules + with suppress_warnings(): + warnings.simplefilter('ignore') + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + + +@pytest.mark.filterwarnings( + "ignore:.*NumPy warning suppression and assertion utilities are deprecated" + ".*:DeprecationWarning") +@pytest.mark.thread_unsafe(reason="checks global module & deprecated warnings") +def test_suppress_warnings_type(): + # Initial state of module, no warnings + my_mod = _get_fresh_mod() + assert_equal(getattr(my_mod, '__warningregistry__', {}), {}) + + # Test module based warning suppression: + with suppress_warnings() as sup: + sup.filter(UserWarning) + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + sup = suppress_warnings() + sup.filter(UserWarning) + with sup: + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + # And test repeat works: + sup.filter(module=my_mod) + with sup: + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + + # Without specified modules + with suppress_warnings(): + warnings.simplefilter('ignore') + warnings.warn('Some warning') + assert_warn_len_equal(my_mod, 0) + + +@pytest.mark.filterwarnings( + "ignore:.*NumPy warning suppression and assertion utilities are deprecated" + ".*:DeprecationWarning") +@pytest.mark.thread_unsafe( + reason="uses deprecated thread-unsafe warnings control utilities" +) +def test_suppress_warnings_decorate_no_record(): + sup = suppress_warnings() + sup.filter(UserWarning) + + @sup + def warn(category): + warnings.warn('Some warning', category) + + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter("always") + warn(UserWarning) # should be suppressed + warn(RuntimeWarning) + assert_equal(len(w), 1) + + +@pytest.mark.filterwarnings( + "ignore:.*NumPy warning suppression and assertion utilities are deprecated" + ".*:DeprecationWarning") +@pytest.mark.thread_unsafe( + reason="uses deprecated thread-unsafe warnings control utilities" +) +def test_suppress_warnings_record(): + sup = suppress_warnings() + log1 = sup.record() + + with sup: + log2 = sup.record(message='Some other warning 2') + sup.filter(message='Some warning') + warnings.warn('Some warning') + warnings.warn('Some other warning') + warnings.warn('Some other warning 2') + + assert_equal(len(sup.log), 2) + assert_equal(len(log1), 1) + assert_equal(len(log2), 1) + assert_equal(log2[0].message.args[0], 'Some other warning 2') + + # Do it again, with the same context to see if some warnings survived: + with sup: + log2 = sup.record(message='Some other warning 2') + sup.filter(message='Some warning') + warnings.warn('Some warning') + warnings.warn('Some other warning') + warnings.warn('Some other warning 2') + + assert_equal(len(sup.log), 2) + assert_equal(len(log1), 1) + assert_equal(len(log2), 1) + assert_equal(log2[0].message.args[0], 'Some other warning 2') + + # Test nested: + with suppress_warnings() as sup: + sup.record() + with suppress_warnings() as sup2: + sup2.record(message='Some warning') + warnings.warn('Some warning') + warnings.warn('Some other warning') + assert_equal(len(sup2.log), 1) + # includes a DeprecationWarning for suppress_warnings + assert_equal(len(sup.log), 2) + + +@pytest.mark.filterwarnings( + "ignore:.*NumPy warning suppression and assertion utilities are deprecated" + ".*:DeprecationWarning") +@pytest.mark.thread_unsafe( + reason="uses deprecated thread-unsafe warnings control utilities" +) +def test_suppress_warnings_forwarding(): + def warn_other_module(): + # Apply along axis is implemented in python; stacklevel=2 means + # we end up inside its module, not ours. + def warn(arr): + warnings.warn("Some warning", stacklevel=2) + return arr + np.apply_along_axis(warn, 0, [0]) + + with suppress_warnings() as sup: + sup.record() + with suppress_warnings("always"): + for i in range(2): + warnings.warn("Some warning") + + # includes a DeprecationWarning for suppress_warnings + assert_equal(len(sup.log), 3) + + with suppress_warnings() as sup: + sup.record() + with suppress_warnings("location"): + for i in range(2): + warnings.warn("Some warning") + warnings.warn("Some warning") + + # includes a DeprecationWarning for suppress_warnings + assert_equal(len(sup.log), 3) + + with suppress_warnings() as sup: + sup.record() + with suppress_warnings("module"): + for i in range(2): + warnings.warn("Some warning") + warnings.warn("Some warning") + warn_other_module() + + # includes a DeprecationWarning for suppress_warnings + assert_equal(len(sup.log), 3) + + with suppress_warnings() as sup: + sup.record() + with suppress_warnings("once"): + for i in range(2): + warnings.warn("Some warning") + warnings.warn("Some other warning") + warn_other_module() + + # includes a DeprecationWarning for suppress_warnings + assert_equal(len(sup.log), 3) + + +def test_tempdir(): + with tempdir() as tdir: + fpath = os.path.join(tdir, 'tmp') + with open(fpath, 'w'): + pass + assert_(not os.path.isdir(tdir)) + + raised = False + try: + with tempdir() as tdir: + raise ValueError + except ValueError: + raised = True + assert_(raised) + assert_(not os.path.isdir(tdir)) + + +def test_temppath(): + with temppath() as fpath: + with open(fpath, 'w'): + pass + assert_(not os.path.isfile(fpath)) + + raised = False + try: + with temppath() as fpath: + raise ValueError + except ValueError: + raised = True + assert_(raised) + assert_(not os.path.isfile(fpath)) + + +class my_cacw(clear_and_catch_warnings): + + class_modules = (sys.modules[__name__],) + + +@pytest.mark.thread_unsafe(reason="checks global module & deprecated warnings") +def test_clear_and_catch_warnings_inherit(): + # Test can subclass and add default modules + my_mod = _get_fresh_mod() + with my_cacw(): + warnings.simplefilter('ignore') + warnings.warn('Some warning') + assert_equal(my_mod.__warningregistry__, {}) + + +@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") +@pytest.mark.thread_unsafe(reason="garbage collector is global state") +class TestAssertNoGcCycles: + """ Test assert_no_gc_cycles """ + + def test_passes(self): + def no_cycle(): + b = [] + b.append([]) + return b + + with assert_no_gc_cycles(): + no_cycle() + + assert_no_gc_cycles(no_cycle) + + def test_asserts(self): + def make_cycle(): + a = [] + a.append(a) + a.append(a) + return a + + with assert_raises(AssertionError): + with assert_no_gc_cycles(): + make_cycle() + + with assert_raises(AssertionError): + assert_no_gc_cycles(make_cycle) + + @pytest.mark.slow + def test_fails(self): + """ + Test that in cases where the garbage cannot be collected, we raise an + error, instead of hanging forever trying to clear it. + """ + + class ReferenceCycleInDel: + """ + An object that not only contains a reference cycle, but creates new + cycles whenever it's garbage-collected and its __del__ runs + """ + make_cycle = True + + def __init__(self): + self.cycle = self + + def __del__(self): + # break the current cycle so that `self` can be freed + self.cycle = None + + if ReferenceCycleInDel.make_cycle: + # but create a new one so that the garbage collector (GC) has more + # work to do. + ReferenceCycleInDel() + + try: + w = weakref.ref(ReferenceCycleInDel()) + try: + with assert_raises(RuntimeError): + # this will be unable to get a baseline empty garbage + assert_no_gc_cycles(lambda: None) + except AssertionError: + # the above test is only necessary if the GC actually tried to free + # our object anyway. + if w() is not None: + pytest.skip("GC does not call __del__ on cyclic objects") + raise + + finally: + # make sure that we stop creating reference cycles + ReferenceCycleInDel.make_cycle = False diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/__init__.py 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Regression test for gh-10198. + dups = {k: v for k, v in collections.Counter(np.__all__).items() if v > 1} + assert len(dups) == 0 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_configtool.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_configtool.py new file mode 100644 index 0000000000000000000000000000000000000000..917bbf55712f859edd2542cb6eb48e30ea5c3fc7 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_configtool.py @@ -0,0 +1,51 @@ +import importlib.metadata +import os +import pathlib +import subprocess + +import pytest + +import numpy as np +import numpy._core.include +import numpy._core.lib.pkgconfig +from numpy.testing import IS_EDITABLE, IS_INSTALLED, IS_WASM, NUMPY_ROOT + +INCLUDE_DIR = NUMPY_ROOT / '_core' / 'include' +PKG_CONFIG_DIR = NUMPY_ROOT / '_core' / 'lib' / 'pkgconfig' + + +@pytest.mark.skipif(not IS_INSTALLED, + reason="`numpy-config` not expected to be installed") +@pytest.mark.skipif(IS_WASM, + reason="wasm interpreter cannot start subprocess") +class TestNumpyConfig: + def check_numpyconfig(self, arg): + p = subprocess.run(['numpy-config', arg], capture_output=True, text=True) + p.check_returncode() + return p.stdout.strip() + + def test_configtool_version(self): + stdout = self.check_numpyconfig('--version') + assert stdout == np.__version__ + + def test_configtool_cflags(self): + stdout = self.check_numpyconfig('--cflags') + assert f'-I{os.fspath(INCLUDE_DIR)}' in stdout + + def test_configtool_pkgconfigdir(self): + stdout = self.check_numpyconfig('--pkgconfigdir') + assert pathlib.Path(stdout) == PKG_CONFIG_DIR.resolve() + + +@pytest.mark.skipif(not IS_INSTALLED, + reason="numpy must be installed to check its entrypoints") +def test_pkg_config_entrypoint(): + (entrypoint,) = importlib.metadata.entry_points(group='pkg_config', name='numpy') + assert entrypoint.value == numpy._core.lib.pkgconfig.__name__ + + +@pytest.mark.skipif(not IS_INSTALLED, + reason="numpy.pc is only available when numpy is installed") +@pytest.mark.skipif(IS_EDITABLE, reason="editable installs don't have a numpy.pc") +def test_pkg_config_config_exists(): + assert PKG_CONFIG_DIR.joinpath('numpy.pc').is_file() diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_ctypeslib.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_ctypeslib.py new file mode 100644 index 0000000000000000000000000000000000000000..b88910ce457e8f287da42e797fa2c2bc381db78f --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_ctypeslib.py @@ -0,0 +1,383 @@ +import sys +import sysconfig +import weakref +from pathlib import Path + +import pytest + +import numpy as np +from numpy.ctypeslib import as_array, load_library, ndpointer +from numpy.testing import assert_, assert_array_equal, assert_equal, assert_raises + +try: + import ctypes +except ImportError: + ctypes = None +else: + cdll = None + test_cdll = None + if hasattr(sys, 'gettotalrefcount'): + try: + cdll = load_library( + '_multiarray_umath_d', np._core._multiarray_umath.__file__ + ) + except OSError: + pass + try: + test_cdll = load_library( + '_multiarray_tests', np._core._multiarray_tests.__file__ + ) + except OSError: + pass + if cdll is None: + cdll = load_library( + '_multiarray_umath', np._core._multiarray_umath.__file__) + if test_cdll is None: + test_cdll = load_library( + '_multiarray_tests', np._core._multiarray_tests.__file__ + ) + + c_forward_pointer = test_cdll.forward_pointer + + +@pytest.mark.skipif(ctypes is None, + reason="ctypes not available in this python") +@pytest.mark.skipif(sys.platform == 'cygwin', + reason="Known to fail on cygwin") +class TestLoadLibrary: + def test_basic(self): + loader_path = np._core._multiarray_umath.__file__ + + out1 = load_library('_multiarray_umath', loader_path) + out2 = load_library(Path('_multiarray_umath'), loader_path) + out3 = load_library('_multiarray_umath', Path(loader_path)) + out4 = load_library(b'_multiarray_umath', loader_path) + + assert isinstance(out1, ctypes.CDLL) + assert out1 is out2 is out3 is out4 + + def test_basic2(self): + # Regression for #801: load_library with a full library name + # (including extension) does not work. + try: + so_ext = sysconfig.get_config_var('EXT_SUFFIX') + load_library(f'_multiarray_umath{so_ext}', + np._core._multiarray_umath.__file__) + except ImportError as e: + msg = ("ctypes is not available on this python: skipping the test" + " (import error was: %s)" % str(e)) + print(msg) + + +class TestNdpointer: + def test_dtype(self): + dt = np.intc + p = ndpointer(dtype=dt) + assert_(p.from_param(np.array([1], dt))) + dt = 'i4') + p = ndpointer(dtype=dt) + p.from_param(np.array([1], dt)) + assert_raises(TypeError, p.from_param, + np.array([1], dt.newbyteorder('swap'))) + dtnames = ['x', 'y'] + dtformats = [np.intc, np.float64] + dtdescr = {'names': dtnames, 'formats': dtformats} + dt = np.dtype(dtdescr) + p = ndpointer(dtype=dt) + assert_(p.from_param(np.zeros((10,), dt))) + samedt = np.dtype(dtdescr) + p = ndpointer(dtype=samedt) + assert_(p.from_param(np.zeros((10,), dt))) + dt2 = np.dtype(dtdescr, align=True) + if dt.itemsize != dt2.itemsize: + assert_raises(TypeError, p.from_param, np.zeros((10,), dt2)) + else: + assert_(p.from_param(np.zeros((10,), dt2))) + + def test_ndim(self): + p = ndpointer(ndim=0) + assert_(p.from_param(np.array(1))) + assert_raises(TypeError, p.from_param, np.array([1])) + p = ndpointer(ndim=1) + assert_raises(TypeError, p.from_param, np.array(1)) + assert_(p.from_param(np.array([1]))) + p = ndpointer(ndim=2) + assert_(p.from_param(np.array([[1]]))) + + def test_shape(self): + p = ndpointer(shape=(1, 2)) + assert_(p.from_param(np.array([[1, 2]]))) + assert_raises(TypeError, p.from_param, np.array([[1], [2]])) + p = ndpointer(shape=()) + assert_(p.from_param(np.array(1))) + + def test_flags(self): + x = np.array([[1, 2], [3, 4]], order='F') + p = ndpointer(flags='FORTRAN') + assert_(p.from_param(x)) + p = ndpointer(flags='CONTIGUOUS') + assert_raises(TypeError, p.from_param, x) + p = ndpointer(flags=x.flags.num) + assert_(p.from_param(x)) + assert_raises(TypeError, p.from_param, np.array([[1, 2], [3, 4]])) + + @pytest.mark.thread_unsafe(reason="checks that global ndpointer cache is updating") + def test_cache(self): + assert_(ndpointer(dtype=np.float64) is ndpointer(dtype=np.float64)) + + # shapes are normalized + assert_(ndpointer(shape=2) is ndpointer(shape=(2,))) + + # 1.12 <= v < 1.16 had a bug that made these fail + assert_(ndpointer(shape=2) is not ndpointer(ndim=2)) + assert_(ndpointer(ndim=2) is not ndpointer(shape=2)) + +@pytest.mark.skipif(ctypes is None, + reason="ctypes not available on this python installation") +class TestNdpointerCFunc: + def test_arguments(self): + """ Test that arguments are coerced from arrays """ + c_forward_pointer.restype = ctypes.c_void_p + c_forward_pointer.argtypes = (ndpointer(ndim=2),) + + c_forward_pointer(np.zeros((2, 3))) + # too many dimensions + assert_raises( + ctypes.ArgumentError, c_forward_pointer, np.zeros((2, 3, 4))) + + @pytest.mark.parametrize( + 'dt', [ + float, + np.dtype({ + 'formats': ['u2') + ct = np.ctypeslib.as_ctypes_type(dt) + assert_equal(ct, ctypes.c_uint16.__ctype_be__) + + dt = np.dtype('u2') + ct = np.ctypeslib.as_ctypes_type(dt) + assert_equal(ct, ctypes.c_uint16) + + @pytest.mark.thread_unsafe(reason="some sort of data race? (gh-29943)") + def test_subarray(self): + dt = np.dtype((np.int32, (2, 3))) + ct = np.ctypeslib.as_ctypes_type(dt) + assert_equal(ct, 2 * (3 * ctypes.c_int32)) + + def test_structure(self): + dt = np.dtype([ + ('a', np.uint16), + ('b', np.uint32), + ]) + + ct = np.ctypeslib.as_ctypes_type(dt) + assert_(issubclass(ct, ctypes.Structure)) + assert_equal(ctypes.sizeof(ct), dt.itemsize) + assert_equal(ct._fields_, [ + ('a', ctypes.c_uint16), + ('b', ctypes.c_uint32), + ]) + + @pytest.mark.thread_unsafe(reason="some sort of data race? (gh-29943)") + def test_structure_aligned(self): + dt = np.dtype([ + ('a', np.uint16), + ('b', np.uint32), + ], align=True) + + ct = np.ctypeslib.as_ctypes_type(dt) + assert_(issubclass(ct, ctypes.Structure)) + assert_equal(ctypes.sizeof(ct), dt.itemsize) + assert_equal(ct._fields_, [ + ('a', ctypes.c_uint16), + ('', ctypes.c_char * 2), # padding + ('b', ctypes.c_uint32), + ]) + + def test_union(self): + dt = np.dtype({ + 'names': ['a', 'b'], + 'offsets': [0, 0], + 'formats': [np.uint16, np.uint32] + }) + + ct = np.ctypeslib.as_ctypes_type(dt) + assert_(issubclass(ct, ctypes.Union)) + assert_equal(ctypes.sizeof(ct), dt.itemsize) + assert_equal(ct._fields_, [ + ('a', ctypes.c_uint16), + ('b', ctypes.c_uint32), + ]) + + @pytest.mark.thread_unsafe(reason="some sort of data race? (gh-29943)") + def test_padded_union(self): + dt = np.dtype({ + 'names': ['a', 'b'], + 'offsets': [0, 0], + 'formats': [np.uint16, np.uint32], + 'itemsize': 5, + }) + + ct = np.ctypeslib.as_ctypes_type(dt) + assert_(issubclass(ct, ctypes.Union)) + assert_equal(ctypes.sizeof(ct), dt.itemsize) + assert_equal(ct._fields_, [ + ('a', ctypes.c_uint16), + ('b', ctypes.c_uint32), + ('', ctypes.c_char * 5), # padding + ]) + + def test_overlapping(self): + dt = np.dtype({ + 'names': ['a', 'b'], + 'offsets': [0, 2], + 'formats': [np.uint32, np.uint32] + }) + assert_raises(NotImplementedError, np.ctypeslib.as_ctypes_type, dt) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_lazyloading.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_lazyloading.py new file mode 100644 index 0000000000000000000000000000000000000000..7b0324802611e7ead2f6a596b7200b7fb31cede9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_lazyloading.py @@ -0,0 +1,42 @@ +import subprocess +import sys +import textwrap + +import pytest + +from numpy.testing import IS_WASM + + +@pytest.mark.skipif(IS_WASM, reason="can't start subprocess") +def test_lazy_load(): + # gh-22045. lazyload doesn't import submodule names into the namespace + + # Test within a new process, to ensure that we do not mess with the + # global state during the test run (could lead to cryptic test failures). + # This is generally unsafe, especially, since we also reload the C-modules. + code = textwrap.dedent(r""" + import sys + from importlib.util import LazyLoader, find_spec, module_from_spec + + # create lazy load of numpy as np + spec = find_spec("numpy") + module = module_from_spec(spec) + sys.modules["numpy"] = module + loader = LazyLoader(spec.loader) + loader.exec_module(module) + np = module + + # test a subpackage import + from numpy.lib import recfunctions # noqa: F401 + + # test triggering the import of the package + np.ndarray + """) + p = subprocess.run( + (sys.executable, '-c', code), + stdout=subprocess.PIPE, + stderr=subprocess.STDOUT, + encoding='utf-8', + check=False, + ) + assert p.returncode == 0, p.stdout diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_matlib.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_matlib.py new file mode 100644 index 0000000000000000000000000000000000000000..2aac1f2582a1c82439ba3849adfcda3814ba90d3 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_matlib.py @@ -0,0 +1,59 @@ +import numpy as np +import numpy.matlib +from numpy.testing import assert_, assert_array_equal + + +def test_empty(): + x = numpy.matlib.empty((2,)) + assert_(isinstance(x, np.matrix)) + assert_(x.shape, (1, 2)) + +def test_ones(): + assert_array_equal(numpy.matlib.ones((2, 3)), + np.matrix([[ 1., 1., 1.], + [ 1., 1., 1.]])) + + assert_array_equal(numpy.matlib.ones(2), np.matrix([[ 1., 1.]])) + +def test_zeros(): + assert_array_equal(numpy.matlib.zeros((2, 3)), + np.matrix([[ 0., 0., 0.], + [ 0., 0., 0.]])) + + assert_array_equal(numpy.matlib.zeros(2), np.matrix([[0., 0.]])) + +def test_identity(): + x = numpy.matlib.identity(2, dtype=int) + assert_array_equal(x, np.matrix([[1, 0], [0, 1]])) + +def test_eye(): + xc = numpy.matlib.eye(3, k=1, dtype=int) + assert_array_equal(xc, np.matrix([[ 0, 1, 0], + [ 0, 0, 1], + [ 0, 0, 0]])) + assert xc.flags.c_contiguous + assert not xc.flags.f_contiguous + + xf = numpy.matlib.eye(3, 4, dtype=int, order='F') + assert_array_equal(xf, np.matrix([[ 1, 0, 0, 0], + [ 0, 1, 0, 0], + [ 0, 0, 1, 0]])) + assert not xf.flags.c_contiguous + assert xf.flags.f_contiguous + +def test_rand(): + x = numpy.matlib.rand(3) + # check matrix type, array would have shape (3,) + assert_(x.ndim == 2) + +def test_randn(): + x = np.matlib.randn(3) + # check matrix type, array would have shape (3,) + assert_(x.ndim == 2) + +def test_repmat(): + a1 = np.arange(4) + x = numpy.matlib.repmat(a1, 2, 2) + y = np.array([[0, 1, 2, 3, 0, 1, 2, 3], + [0, 1, 2, 3, 0, 1, 2, 3]]) + assert_array_equal(x, y) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_numpy_config.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_numpy_config.py new file mode 100644 index 0000000000000000000000000000000000000000..9219379b25529489d57b3811dd6a753e514af91a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_numpy_config.py @@ -0,0 +1,47 @@ +""" +Check the numpy config is valid. +""" +from unittest.mock import patch + +import pytest + +import numpy as np + +pytestmark = pytest.mark.skipif( + not hasattr(np.__config__, "_built_with_meson"), + reason="Requires Meson builds", +) + + +class TestNumPyConfigs: + REQUIRED_CONFIG_KEYS = [ + "Compilers", + "Machine Information", + "Python Information", + ] + + @patch("numpy.__config__._check_pyyaml") + @pytest.mark.thread_unsafe(reason="unittest.mock.patch updates global state") + def test_pyyaml_not_found(self, mock_yaml_importer): + mock_yaml_importer.side_effect = ModuleNotFoundError() + with pytest.warns(UserWarning): + np.show_config() + + def test_dict_mode(self): + config = np.show_config(mode="dicts") + + assert isinstance(config, dict) + assert all(key in config for key in self.REQUIRED_CONFIG_KEYS), ( + "Required key missing," + " see index of `False` with `REQUIRED_CONFIG_KEYS`" + ) + + def test_invalid_mode(self): + with pytest.raises(AttributeError): + np.show_config(mode="foo") + + def test_warn_to_add_tests(self): + assert len(np.__config__.DisplayModes) == 2, ( + "New mode detected," + " please add UT if applicable and increment this count" + ) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_numpy_version.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_numpy_version.py new file mode 100644 index 0000000000000000000000000000000000000000..ea164225f40b5b4fa5d0a1bbdcc1635c4b54c8be --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_numpy_version.py @@ -0,0 +1,54 @@ +""" +Check the numpy version is valid. + +Note that a development version is marked by the presence of 'dev0' or '+' +in the version string, all else is treated as a release. The version string +itself is set from the output of ``git describe`` which relies on tags. + +Examples +-------- + +Valid Development: 1.22.0.dev0 1.22.0.dev0+5-g7999db4df2 1.22.0+5-g7999db4df2 +Valid Release: 1.21.0.rc1, 1.21.0.b1, 1.21.0 +Invalid: 1.22.0.dev, 1.22.0.dev0-5-g7999db4dfB, 1.21.0.d1, 1.21.a + +Note that a release is determined by the version string, which in turn +is controlled by the result of the ``git describe`` command. +""" +import re + +import numpy as np +from numpy.testing import assert_ + + +def test_valid_numpy_version(): + # Verify that the numpy version is a valid one (no .post suffix or other + # nonsense). See gh-6431 for an issue caused by an invalid version. + version_pattern = r"^[0-9]+\.[0-9]+\.[0-9]+(a[0-9]|b[0-9]|rc[0-9])?" + dev_suffix = r"(\.dev[0-9]+(\+git[0-9]+\.[0-9a-f]+)?)?" + res = re.match(version_pattern + dev_suffix + '$', np.__version__) + + assert_(res is not None, np.__version__) + + +def test_short_version(): + # Check numpy.short_version actually exists + if np.version.release: + assert_(np.__version__ == np.version.short_version, + "short_version mismatch in release version") + else: + assert_(np.__version__.split("+")[0] == np.version.short_version, + "short_version mismatch in development version") + + +def test_version_module(): + contents = {s for s in dir(np.version) if not s.startswith('_')} + expected = { + 'full_version', + 'git_revision', + 'release', + 'short_version', + 'version', + } + + assert contents == expected diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_public_api.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_public_api.py new file mode 100644 index 0000000000000000000000000000000000000000..17710549236d24c0b8ac1fb7a9626a6fb72be83b --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_public_api.py @@ -0,0 +1,807 @@ +import functools +import importlib +import inspect +import pkgutil +import subprocess +import sys +import sysconfig +import types +import warnings + +import pytest + +import numpy +import numpy as np +from numpy.testing import IS_WASM + +try: + import ctypes +except ImportError: + ctypes = None + + +def check_dir(module, module_name=None): + """Returns a mapping of all objects with the wrong __module__ attribute.""" + if module_name is None: + module_name = module.__name__ + results = {} + for name in dir(module): + if name == "core": + continue + item = getattr(module, name) + if (hasattr(item, '__module__') and hasattr(item, '__name__') + and item.__module__ != module_name): + results[name] = item.__module__ + '.' + item.__name__ + return results + + +def test_numpy_namespace(): + # We override dir to not show these members + allowlist = { + 'recarray': 'numpy.rec.recarray', + } + bad_results = check_dir(np) + # pytest gives better error messages with the builtin assert than with + # assert_equal + assert bad_results == allowlist + + +@pytest.mark.skipif(IS_WASM, reason="can't start subprocess") +@pytest.mark.parametrize('name', ['testing']) +def test_import_lazy_import(name): + """Make sure we can actually use the modules we lazy load. + + While not exported as part of the public API, it was accessible. With the + use of __getattr__ and __dir__, this isn't always true It can happen that + an infinite recursion may happen. + + This is the only way I found that would force the failure to appear on the + badly implemented code. + + We also test for the presence of the lazily imported modules in dir + + """ + exe = (sys.executable, '-c', "import numpy; numpy." + name) + result = subprocess.check_output(exe) + assert not result + + # Make sure they are still in the __dir__ + assert name in dir(np) + + +def test_dir_testing(): + """Assert that output of dir has only one "testing/tester" + attribute without duplicate""" + assert len(dir(np)) == len(set(dir(np))) + + +def test_numpy_linalg(): + bad_results = check_dir(np.linalg) + assert bad_results == {} + + +def test_numpy_fft(): + bad_results = check_dir(np.fft) + assert bad_results == {} + + +@pytest.mark.skipif(ctypes is None, + reason="ctypes not available in this python") +def test_NPY_NO_EXPORT(): + cdll = ctypes.CDLL(np._core._multiarray_tests.__file__) + # Make sure an arbitrary NPY_NO_EXPORT function is actually hidden + f = getattr(cdll, 'test_not_exported', None) + assert f is None, ("'test_not_exported' is mistakenly exported, " + "NPY_NO_EXPORT does not work") + + +# Historically NumPy has not used leading underscores for private submodules +# much. This has resulted in lots of things that look like public modules +# (i.e. things that can be imported as `import numpy.somesubmodule.somefile`), +# but were never intended to be public. The PUBLIC_MODULES list contains +# modules that are either public because they were meant to be, or because they +# contain public functions/objects that aren't present in any other namespace +# for whatever reason and therefore should be treated as public. +# +# The PRIVATE_BUT_PRESENT_MODULES list contains modules that look public (lack +# of underscores) but should not be used. For many of those modules the +# current status is fine. For others it may make sense to work on making them +# private, to clean up our public API and avoid confusion. +PUBLIC_MODULES = ['numpy.' + s for s in [ + "ctypeslib", + "dtypes", + "exceptions", + "f2py", + "fft", + "lib", + "lib.array_utils", + "lib.format", + "lib.introspect", + "lib.mixins", + "lib.npyio", + "lib.recfunctions", # note: still needs cleaning, was forgotten for 2.0 + "lib.scimath", + "lib.stride_tricks", + "linalg", + "ma", + "ma.extras", + "ma.mrecords", + "polynomial", + "polynomial.chebyshev", + "polynomial.hermite", + "polynomial.hermite_e", + "polynomial.laguerre", + "polynomial.legendre", + "polynomial.polynomial", + "random", + "strings", + "testing", + "testing.overrides", + "typing", + "typing.mypy_plugin", + "version", +]] +if sys.version_info < (3, 12): + PUBLIC_MODULES += [ + 'numpy.' + s for s in [ + "distutils", + "distutils.cpuinfo", + "distutils.exec_command", + "distutils.misc_util", + "distutils.log", + "distutils.system_info", + ] + ] + + +PUBLIC_ALIASED_MODULES = [ + "numpy.char", + "numpy.emath", + "numpy.rec", +] + + +PRIVATE_BUT_PRESENT_MODULES = ['numpy.' + s for s in [ + "conftest", + "core", + "core.multiarray", + "core.numeric", + "core.umath", + "core.arrayprint", + "core.defchararray", + "core.einsumfunc", + "core.fromnumeric", + "core.function_base", + "core.getlimits", + "core.numerictypes", + "core.overrides", + "core.records", + "core.shape_base", + "f2py.auxfuncs", + "f2py.capi_maps", + "f2py.cb_rules", + "f2py.cfuncs", + "f2py.common_rules", + "f2py.crackfortran", + "f2py.diagnose", + "f2py.f2py2e", + "f2py.f90mod_rules", + "f2py.func2subr", + "f2py.rules", + "f2py.symbolic", + "f2py.use_rules", + "lib.user_array", # note: not in np.lib, but probably should just be deleted + "linalg.lapack_lite", + "ma.core", + "ma.testutils", + "matlib", + "matrixlib", + "matrixlib.defmatrix", + "polynomial.polyutils", + "random.mtrand", + "random.bit_generator", + "testing.print_coercion_tables", +]] +if sys.version_info < (3, 12): + PRIVATE_BUT_PRESENT_MODULES += [ + 'numpy.' + s for s in [ + "distutils.armccompiler", + "distutils.fujitsuccompiler", + "distutils.ccompiler", + 'distutils.ccompiler_opt', + "distutils.command", + "distutils.command.autodist", + "distutils.command.bdist_rpm", + "distutils.command.build", + "distutils.command.build_clib", + "distutils.command.build_ext", + "distutils.command.build_py", + "distutils.command.build_scripts", + "distutils.command.build_src", + "distutils.command.config", + "distutils.command.config_compiler", + "distutils.command.develop", + "distutils.command.egg_info", + "distutils.command.install", + "distutils.command.install_clib", + "distutils.command.install_data", + "distutils.command.install_headers", + "distutils.command.sdist", + "distutils.conv_template", + "distutils.core", + "distutils.extension", + "distutils.fcompiler", + "distutils.fcompiler.absoft", + "distutils.fcompiler.arm", + "distutils.fcompiler.compaq", + "distutils.fcompiler.environment", + "distutils.fcompiler.g95", + "distutils.fcompiler.gnu", + "distutils.fcompiler.hpux", + "distutils.fcompiler.ibm", + "distutils.fcompiler.intel", + "distutils.fcompiler.lahey", + "distutils.fcompiler.mips", + "distutils.fcompiler.nag", + "distutils.fcompiler.none", + "distutils.fcompiler.pathf95", + "distutils.fcompiler.pg", + "distutils.fcompiler.nv", + "distutils.fcompiler.sun", + "distutils.fcompiler.vast", + "distutils.fcompiler.fujitsu", + "distutils.from_template", + "distutils.intelccompiler", + "distutils.lib2def", + "distutils.line_endings", + "distutils.mingw32ccompiler", + "distutils.msvccompiler", + "distutils.npy_pkg_config", + "distutils.numpy_distribution", + "distutils.pathccompiler", + "distutils.unixccompiler", + ] + ] + + +def is_unexpected(name): + """Check if this needs to be considered.""" + return ( + '._' not in name and '.tests' not in name and '.setup' not in name + and name not in PUBLIC_MODULES + and name not in PUBLIC_ALIASED_MODULES + and name not in PRIVATE_BUT_PRESENT_MODULES + ) + + +if sys.version_info >= (3, 12): + SKIP_LIST = [] +else: + SKIP_LIST = ["numpy.distutils.msvc9compiler"] + + +def test_all_modules_are_expected(): + """ + Test that we don't add anything that looks like a new public module by + accident. Check is based on filenames. + """ + + modnames = [] + for _, modname, ispkg in pkgutil.walk_packages(path=np.__path__, + prefix=np.__name__ + '.', + onerror=None): + if is_unexpected(modname) and modname not in SKIP_LIST: + # We have a name that is new. If that's on purpose, add it to + # PUBLIC_MODULES. We don't expect to have to add anything to + # PRIVATE_BUT_PRESENT_MODULES. Use an underscore in the name! + modnames.append(modname) + + if modnames: + raise AssertionError(f'Found unexpected modules: {modnames}') + + +# Stuff that clearly shouldn't be in the API and is detected by the next test +# below +SKIP_LIST_2 = [ + 'numpy.lib.math', + 'numpy.matlib.char', + 'numpy.matlib.rec', + 'numpy.matlib.emath', + 'numpy.matlib.exceptions', + 'numpy.matlib.math', + 'numpy.matlib.linalg', + 'numpy.matlib.fft', + 'numpy.matlib.random', + 'numpy.matlib.ctypeslib', + 'numpy.matlib.ma', +] +if sys.version_info < (3, 12): + SKIP_LIST_2 += [ + 'numpy.distutils.log.sys', + 'numpy.distutils.log.logging', + 'numpy.distutils.log.warnings', + ] + + +def test_all_modules_are_expected_2(): + """ + Method checking all objects. The pkgutil-based method in + `test_all_modules_are_expected` does not catch imports into a namespace, + only filenames. So this test is more thorough, and checks this like: + + import .lib.scimath as emath + + To check if something in a module is (effectively) public, one can check if + there's anything in that namespace that's a public function/object but is + not exposed in a higher-level namespace. For example for a `numpy.lib` + submodule:: + + mod = np.lib.mixins + for obj in mod.__all__: + if obj in np.__all__: + continue + elif obj in np.lib.__all__: + continue + + else: + print(obj) + + """ + + def find_unexpected_members(mod_name): + members = [] + module = importlib.import_module(mod_name) + if hasattr(module, '__all__'): + objnames = module.__all__ + else: + objnames = dir(module) + + for objname in objnames: + if not objname.startswith('_'): + fullobjname = mod_name + '.' + objname + if isinstance(getattr(module, objname), types.ModuleType): + if is_unexpected(fullobjname): + if fullobjname not in SKIP_LIST_2: + members.append(fullobjname) + + return members + + unexpected_members = find_unexpected_members("numpy") + for modname in PUBLIC_MODULES: + unexpected_members.extend(find_unexpected_members(modname)) + + if unexpected_members: + raise AssertionError("Found unexpected object(s) that look like " + f"modules: {unexpected_members}") + + +def test_api_importable(): + """ + Check that all submodules listed higher up in this file can be imported + + Note that if a PRIVATE_BUT_PRESENT_MODULES entry goes missing, it may + simply need to be removed from the list (deprecation may or may not be + needed - apply common sense). + """ + def check_importable(module_name): + try: + importlib.import_module(module_name) + except (ImportError, AttributeError): + return False + + return True + + module_names = [] + for module_name in PUBLIC_MODULES: + if not check_importable(module_name): + module_names.append(module_name) + + if module_names: + raise AssertionError("Modules in the public API that cannot be " + f"imported: {module_names}") + + for module_name in PUBLIC_ALIASED_MODULES: + try: + eval(module_name) + except AttributeError: + module_names.append(module_name) + + if module_names: + raise AssertionError("Modules in the public API that were not " + f"found: {module_names}") + + with warnings.catch_warnings(record=True) as w: + warnings.filterwarnings('always', category=DeprecationWarning) + warnings.filterwarnings('always', category=ImportWarning) + for module_name in PRIVATE_BUT_PRESENT_MODULES: + if not check_importable(module_name): + # Nasty hack to avoid new FreeBSD failures. This + # is only needed for NumPy 2.4.x, so go with it + if not module_name == 'numpy.distutils.msvccompiler': + module_names.append(module_name) + + if module_names: + raise AssertionError("Modules that are not really public but looked " + "public and can not be imported: " + f"{module_names}") + + +@pytest.mark.xfail( + sysconfig.get_config_var("Py_DEBUG") not in (None, 0, "0"), + reason=( + "NumPy possibly built with `USE_DEBUG=True ./tools/travis-test.sh`, " + "which does not expose the `array_api` entry point. " + "See https://github.com/numpy/numpy/pull/19800" + ), +) +def test_array_api_entry_point(): + """ + Entry point for Array API implementation can be found with importlib and + returns the main numpy namespace. + """ + # For a development install that did not go through meson-python, + # the entrypoint will not have been installed. So ensure this test fails + # only if numpy is inside site-packages. + numpy_in_sitepackages = sysconfig.get_path('platlib') in np.__file__ + + eps = importlib.metadata.entry_points() + xp_eps = eps.select(group="array_api") + if len(xp_eps) == 0: + if numpy_in_sitepackages: + msg = "No entry points for 'array_api' found" + raise AssertionError(msg) from None + return + + try: + ep = next(ep for ep in xp_eps if ep.name == "numpy") + except StopIteration: + if numpy_in_sitepackages: + msg = "'numpy' not in array_api entry points" + raise AssertionError(msg) from None + return + + if ep.value == 'numpy.array_api': + # Looks like the entrypoint for the current numpy build isn't + # installed, but an older numpy is also installed and hence the + # entrypoint is pointing to the old (no longer existing) location. + # This isn't a problem except for when running tests with `spin` or an + # in-place build. + return + + xp = ep.load() + msg = ( + f"numpy entry point value '{ep.value}' " + "does not point to our Array API implementation" + ) + assert xp is numpy, msg + + +def test_main_namespace_all_dir_coherence(): + """ + Checks if `dir(np)` and `np.__all__` are consistent and return + the same content, excluding exceptions and private members. + """ + def _remove_private_members(member_set): + return {m for m in member_set if not m.startswith('_')} + + def _remove_exceptions(member_set): + return member_set.difference({ + "bool" # included only in __dir__ + }) + + all_members = _remove_private_members(np.__all__) + all_members = _remove_exceptions(all_members) + + dir_members = _remove_private_members(np.__dir__()) + dir_members = _remove_exceptions(dir_members) + + assert all_members == dir_members, ( + "Members that break symmetry: " + f"{all_members.symmetric_difference(dir_members)}" + ) + + +@pytest.mark.filterwarnings( + r"ignore:numpy.core(\.\w+)? is deprecated:DeprecationWarning" +) +def test_core_shims_coherence(): + """ + Check that all "semi-public" members of `numpy._core` are also accessible + from `numpy.core` shims. + """ + import numpy.core as core + + for member_name in dir(np._core): + # Skip private and test members. Also if a module is aliased, + # no need to add it to np.core + if ( + member_name.startswith("_") + or member_name in ["tests", "strings"] + or f"numpy.{member_name}" in PUBLIC_ALIASED_MODULES + ): + continue + + member = getattr(np._core, member_name) + + # np.core is a shim and all submodules of np.core are shims + # but we should be able to import everything in those shims + # that are available in the "real" modules in np._core, with + # the exception of the namespace packages (__spec__.origin is None), + # like numpy._core.include, or numpy._core.lib.pkgconfig. + if ( + inspect.ismodule(member) + and member.__spec__ and member.__spec__.origin is not None + ): + submodule = member + submodule_name = member_name + for submodule_member_name in dir(submodule): + # ignore dunder names + if submodule_member_name.startswith("__"): + continue + submodule_member = getattr(submodule, submodule_member_name) + + core_submodule = __import__( + f"numpy.core.{submodule_name}", + fromlist=[submodule_member_name] + ) + + assert submodule_member is getattr( + core_submodule, submodule_member_name + ) + + else: + assert member is getattr(core, member_name) + + +def test_functions_single_location(): + """ + Check that each public function is available from one location only. + + Test performs BFS search traversing NumPy's public API. It flags + any function-like object that is accessible from more that one place. + """ + from collections.abc import Callable + from typing import Any + + from numpy._core._multiarray_umath import ( + _ArrayFunctionDispatcher as dispatched_function, + ) + + visited_modules: set[types.ModuleType] = {np} + visited_functions: set[Callable[..., Any]] = set() + # Functions often have `__name__` overridden, therefore we need + # to keep track of locations where functions have been found. + functions_original_paths: dict[Callable[..., Any], str] = {} + + # Here we aggregate functions with more than one location. + # It must be empty for the test to pass. + duplicated_functions: list[tuple] = [] + + modules_queue = [np] + + while len(modules_queue) > 0: + + module = modules_queue.pop() + + for member_name in dir(module): + member = getattr(module, member_name) + + # first check if we got a module + if ( + inspect.ismodule(member) and # it's a module + "numpy" in member.__name__ and # inside NumPy + not member_name.startswith("_") and # not private + "numpy._core" not in member.__name__ and # outside _core + # not a legacy or testing module + member_name not in ["f2py", "ma", "testing", "tests"] and + member not in visited_modules # not visited yet + ): + modules_queue.append(member) + visited_modules.add(member) + + # else check if we got a function-like object + elif ( + inspect.isfunction(member) or + isinstance(member, (dispatched_function, np.ufunc)) + ): + if member in visited_functions: + + # skip main namespace functions with aliases + if ( + member.__name__ in [ + "absolute", # np.abs + "arccos", # np.acos + "arccosh", # np.acosh + "arcsin", # np.asin + "arcsinh", # np.asinh + "arctan", # np.atan + "arctan2", # np.atan2 + "arctanh", # np.atanh + "left_shift", # np.bitwise_left_shift + "right_shift", # np.bitwise_right_shift + "conjugate", # np.conj + "invert", # np.bitwise_not & np.bitwise_invert + "remainder", # np.mod + "divide", # np.true_divide + "concatenate", # np.concat + "power", # np.pow + "transpose", # np.permute_dims + ] and + module.__name__ == "numpy" + ): + continue + # skip trimcoef from numpy.polynomial as it is + # duplicated by design. + if ( + member.__name__ == "trimcoef" and + module.__name__.startswith("numpy.polynomial") + ): + continue + + # skip ufuncs that are exported in np.strings as well + if member.__name__ in ( + "add", + "equal", + "not_equal", + "greater", + "greater_equal", + "less", + "less_equal", + ) and module.__name__ == "numpy.strings": + continue + + # numpy.char reexports all numpy.strings functions for + # backwards-compatibility + if module.__name__ == "numpy.char": + continue + + # function is present in more than one location! + duplicated_functions.append( + (member.__name__, + module.__name__, + functions_original_paths[member]) + ) + else: + visited_functions.add(member) + functions_original_paths[member] = module.__name__ + + del visited_functions, visited_modules, functions_original_paths + + assert len(duplicated_functions) == 0, duplicated_functions + + +def test___module___attribute(): + modules_queue = [np] + visited_modules = {np} + visited_functions = set() + incorrect_entries = [] + + while len(modules_queue) > 0: + module = modules_queue.pop() + for member_name in dir(module): + member = getattr(module, member_name) + # first check if we got a module + if ( + inspect.ismodule(member) and # it's a module + "numpy" in member.__name__ and # inside NumPy + not member_name.startswith("_") and # not private + "numpy._core" not in member.__name__ and # outside _core + # not in a skip module list + member_name not in [ + "char", "core", "f2py", "ma", "lapack_lite", "mrecords", + "testing", "tests", "polynomial", "typing", "mtrand", + "bit_generator", + ] and + member not in visited_modules # not visited yet + ): + modules_queue.append(member) + visited_modules.add(member) + elif ( + not inspect.ismodule(member) and + hasattr(member, "__name__") and + not member.__name__.startswith("_") and + member.__module__ != module.__name__ and + member not in visited_functions + ): + # skip ufuncs that are exported in np.strings as well + if member.__name__ in ( + "add", "equal", "not_equal", "greater", "greater_equal", + "less", "less_equal", + ) and module.__name__ == "numpy.strings": + continue + + # recarray and record are exported in np and np.rec + if ( + (member.__name__ == "recarray" and module.__name__ == "numpy") or + (member.__name__ == "record" and module.__name__ == "numpy.rec") + ): + continue + + # ctypeslib exports ctypes c_long/c_longlong + if ( + member.__name__ in ("c_long", "c_longlong") and + module.__name__ == "numpy.ctypeslib" + ): + continue + + # skip cdef classes + if member.__name__ in ( + "BitGenerator", "Generator", "MT19937", "PCG64", "PCG64DXSM", + "Philox", "RandomState", "SFC64", "SeedSequence", + ): + continue + + incorrect_entries.append( + { + "Func": member.__name__, + "actual": member.__module__, + "expected": module.__name__, + } + ) + visited_functions.add(member) + + if incorrect_entries: + assert len(incorrect_entries) == 0, incorrect_entries + + +def _check_correct_qualname_and_module(obj) -> bool: + qualname = obj.__qualname__ + name = obj.__name__ + module_name = obj.__module__ + assert name == qualname.split(".")[-1] + + module = sys.modules[module_name] + actual_obj = functools.reduce(getattr, qualname.split("."), module) + return ( + actual_obj is obj or + # `obj` may be a bound method/property of `actual_obj`: + ( + hasattr(actual_obj, "__get__") and hasattr(obj, "__self__") and + actual_obj.__module__ == obj.__module__ and + actual_obj.__qualname__ == qualname + ) + ) + + +def test___qualname___and___module___attribute(): + # NumPy messes with module and name/qualname attributes, but any object + # should be discoverable based on its module and qualname, so test that. + # We do this for anything with a name (ensuring qualname is also set). + modules_queue = [np] + visited_modules = {np} + visited_functions = set() + incorrect_entries = [] + + while len(modules_queue) > 0: + module = modules_queue.pop() + for member_name in dir(module): + member = getattr(module, member_name) + # first check if we got a module + if ( + inspect.ismodule(member) and # it's a module + "numpy" in member.__name__ and # inside NumPy + not member_name.startswith("_") and # not private + member_name not in {"tests", "typing"} and # type names don't match + "numpy._core" not in member.__name__ and # outside _core + member not in visited_modules # not visited yet + ): + modules_queue.append(member) + visited_modules.add(member) + elif ( + not inspect.ismodule(member) and + hasattr(member, "__name__") and + not member.__name__.startswith("_") and + not member_name.startswith("_") and + not _check_correct_qualname_and_module(member) and + member not in visited_functions + ): + incorrect_entries.append( + { + "found_at": f"{module.__name__}:{member_name}", + "advertises": f"{member.__module__}:{member.__qualname__}", + } + ) + visited_functions.add(member) + + if incorrect_entries: + assert len(incorrect_entries) == 0, incorrect_entries diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_reloading.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_reloading.py new file mode 100644 index 0000000000000000000000000000000000000000..aa87ae10431827e9488dfd3059d9c652a18df451 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_reloading.py @@ -0,0 +1,76 @@ +import pickle +import subprocess +import sys +import textwrap +from importlib import reload + +import pytest + +import numpy.exceptions as ex +from numpy.testing import IS_WASM, assert_, assert_equal, assert_raises + + +@pytest.mark.thread_unsafe(reason="reloads global module") +def test_numpy_reloading(): + # gh-7844. Also check that relevant globals retain their identity. + import numpy as np + import numpy._globals + + _NoValue = np._NoValue + VisibleDeprecationWarning = ex.VisibleDeprecationWarning + ModuleDeprecationWarning = ex.ModuleDeprecationWarning + + with pytest.warns(UserWarning): + reload(np) + assert_(_NoValue is np._NoValue) + assert_(ModuleDeprecationWarning is ex.ModuleDeprecationWarning) + assert_(VisibleDeprecationWarning is ex.VisibleDeprecationWarning) + + assert_raises(RuntimeError, reload, numpy._globals) + with pytest.warns(UserWarning): + reload(np) + assert_(_NoValue is np._NoValue) + assert_(ModuleDeprecationWarning is ex.ModuleDeprecationWarning) + assert_(VisibleDeprecationWarning is ex.VisibleDeprecationWarning) + +def test_novalue(): + import numpy as np + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + assert_equal(repr(np._NoValue), '') + assert_(pickle.loads(pickle.dumps(np._NoValue, + protocol=proto)) is np._NoValue) + + +@pytest.mark.skipif(IS_WASM, reason="can't start subprocess") +def test_full_reimport(): + # Reimporting numpy like this is not safe due to use of global C state, + # and has unexpected side effects. Test that an ImportError is raised. + # When all extension modules are isolated, this should test that clearing + # sys.modules and reimporting numpy works without error. + + # Test within a new process, to ensure that we do not mess with the + # global state during the test run (could lead to cryptic test failures). + # This is generally unsafe, especially, since we also reload the C-modules. + code = textwrap.dedent(r""" + import sys + import numpy as np + + for k in [k for k in sys.modules if k.startswith('numpy')]: + del sys.modules[k] + + try: + import numpy as np + except ImportError as err: + if str(err) != "cannot load module more than once per process": + raise SystemExit(f"Unexpected ImportError: {err}") + else: + raise SystemExit("DID NOT RAISE ImportError") + """) + p = subprocess.run( + (sys.executable, '-c', code), + stdout=subprocess.PIPE, + stderr=subprocess.STDOUT, + encoding='utf-8', + check=False, + ) + assert p.returncode == 0, p.stdout diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_scripts.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_scripts.py new file mode 100644 index 0000000000000000000000000000000000000000..01b743941cf22cf3d19476b65c5f7594e4f5a6e6 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_scripts.py @@ -0,0 +1,48 @@ +""" Test scripts + +Test that we can run executable scripts that have been installed with numpy. +""" +import os +import subprocess +import sys +from os.path import dirname, isfile, join as pathjoin + +import pytest + +import numpy as np +from numpy.testing import IS_WASM, assert_equal + +is_inplace = isfile(pathjoin(dirname(np.__file__), '..', 'setup.py')) + + +def find_f2py_commands(): + if sys.platform == 'win32': + exe_dir = dirname(sys.executable) + if exe_dir.endswith('Scripts'): # virtualenv + return [os.path.join(exe_dir, 'f2py')] + else: + return [os.path.join(exe_dir, "Scripts", 'f2py')] + else: + # Three scripts are installed in Unix-like systems: + # 'f2py', 'f2py{major}', and 'f2py{major.minor}'. For example, + # if installed with python3.9 the scripts would be named + # 'f2py', 'f2py3', and 'f2py3.9'. + version = sys.version_info + major = str(version.major) + minor = str(version.minor) + return ['f2py', 'f2py' + major, 'f2py' + major + '.' + minor] + + +@pytest.mark.skipif(is_inplace, reason="Cannot test f2py command inplace") +@pytest.mark.xfail(reason="Test is unreliable") +@pytest.mark.parametrize('f2py_cmd', find_f2py_commands()) +def test_f2py(f2py_cmd): + # test that we can run f2py script + stdout = subprocess.check_output([f2py_cmd, '-v']) + assert_equal(stdout.strip(), np.__version__.encode('ascii')) + + +@pytest.mark.skipif(IS_WASM, reason="Cannot start subprocess") +def test_pep338(): + stdout = subprocess.check_output([sys.executable, '-mnumpy.f2py', '-v']) + assert_equal(stdout.strip(), np.__version__.encode('ascii')) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_warnings.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_warnings.py new file mode 100644 index 0000000000000000000000000000000000000000..7efa2a1d18962014b24f63dccbb464c8459450bb --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/tests/test_warnings.py @@ -0,0 +1,79 @@ +""" +Tests which scan for certain occurrences in the code, they may not find +all of these occurrences but should catch almost all. +""" +import ast +import tokenize +from pathlib import Path + +import pytest + +import numpy + + +class ParseCall(ast.NodeVisitor): + def __init__(self): + self.ls = [] + + def visit_Attribute(self, node): + ast.NodeVisitor.generic_visit(self, node) + self.ls.append(node.attr) + + def visit_Name(self, node): + self.ls.append(node.id) + + +class FindFuncs(ast.NodeVisitor): + def __init__(self, filename): + super().__init__() + self.__filename = filename + + def visit_Call(self, node): + p = ParseCall() + p.visit(node.func) + ast.NodeVisitor.generic_visit(self, node) + + if p.ls[-1] == 'simplefilter' or p.ls[-1] == 'filterwarnings': + if getattr(node.args[0], "value", None) == "ignore": + if not self.__filename.name.startswith("test_"): + raise AssertionError( + "ignore filters should only be used in tests; " + f"found in {self.__filename} on line {node.lineno}") + + if p.ls[-1] == 'warn' and ( + len(p.ls) == 1 or p.ls[-2] == 'warnings'): + + if "testing/tests/test_warnings.py" == self.__filename: + # This file + return + + # See if stacklevel exists: + if len(node.args) == 3: + return + args = {kw.arg for kw in node.keywords} + if "stacklevel" in args: + return + raise AssertionError( + "warnings should have an appropriate stacklevel; " + f"found in {self.__filename} on line {node.lineno}") + + +@pytest.mark.slow +def test_warning_calls(): + # combined "ignore" and stacklevel error + base = Path(numpy.__file__).parent + + for path in base.rglob("*.py"): + if base / "testing" in path.parents: + continue + if path == base / "__init__.py": + continue + if path == base / "random" / "__init__.py": + continue + if path == base / "conftest.py": + continue + # use tokenize to auto-detect encoding on systems where no + # default encoding is defined (e.g. LANG='C') + with tokenize.open(str(path)) as file: + tree = ast.parse(file.read()) + FindFuncs(path).visit(tree) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..ef4c0885257b296570ba275f95d4b453a6aff127 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__init__.py @@ -0,0 +1,233 @@ +""" +============================ +Typing (:mod:`numpy.typing`) +============================ + +.. versionadded:: 1.20 + +Large parts of the NumPy API have :pep:`484`-style type annotations. In +addition a number of type aliases are available to users, most prominently +the two below: + +- `ArrayLike`: objects that can be converted to arrays +- `DTypeLike`: objects that can be converted to dtypes + +.. _typing-extensions: https://pypi.org/project/typing-extensions/ + +Mypy plugin +----------- + +.. versionadded:: 1.21 + +.. automodule:: numpy.typing.mypy_plugin + +.. currentmodule:: numpy.typing + +Differences from the runtime NumPy API +-------------------------------------- + +NumPy is very flexible. Trying to describe the full range of +possibilities statically would result in types that are not very +helpful. For that reason, the typed NumPy API is often stricter than +the runtime NumPy API. This section describes some notable +differences. + +ArrayLike +~~~~~~~~~ + +The `ArrayLike` type tries to avoid creating object arrays. For +example, + +.. code-block:: python + + >>> np.array(x**2 for x in range(10)) + array( at ...>, dtype=object) + +is valid NumPy code which will create a 0-dimensional object +array. Type checkers will complain about the above example when using +the NumPy types however. If you really intended to do the above, then +you can either use a ``# type: ignore`` comment: + +.. code-block:: python + + >>> np.array(x**2 for x in range(10)) # type: ignore + +or explicitly type the array like object as `~typing.Any`: + +.. code-block:: python + + >>> from typing import Any + >>> array_like: Any = (x**2 for x in range(10)) + >>> np.array(array_like) + array( at ...>, dtype=object) + +ndarray +~~~~~~~ + +It's possible to mutate the dtype of an array at runtime. For example, +the following code is valid: + +.. code-block:: python + + >>> x = np.array([1, 2]) + >>> x.dtype = np.bool + +This sort of mutation is not allowed by the types. Users who want to +write statically typed code should instead use the `numpy.ndarray.view` +method to create a view of the array with a different dtype. + +DTypeLike +~~~~~~~~~ + +The `DTypeLike` type tries to avoid creation of dtype objects using +dictionary of fields like below: + +.. code-block:: python + + >>> x = np.dtype({"field1": (float, 1), "field2": (int, 3)}) + +Although this is valid NumPy code, the type checker will complain about it, +since its usage is discouraged. +Please see : :ref:`Data type objects ` + +Number precision +~~~~~~~~~~~~~~~~ + +The precision of `numpy.number` subclasses is treated as a invariant generic +parameter (see :class:`~NBitBase`), simplifying the annotating of processes +involving precision-based casting. + +.. code-block:: python + + >>> from typing import TypeVar + >>> import numpy as np + >>> import numpy.typing as npt + + >>> T = TypeVar("T", bound=npt.NBitBase) + >>> def func(a: np.floating[T], b: np.floating[T]) -> np.floating[T]: + ... ... + +Consequently, the likes of `~numpy.float16`, `~numpy.float32` and +`~numpy.float64` are still sub-types of `~numpy.floating`, but, contrary to +runtime, they're not necessarily considered as sub-classes. + +.. deprecated:: 2.3 + The :class:`~numpy.typing.NBitBase` helper is deprecated and will be + removed in a future release. Prefer expressing precision relationships via + ``typing.overload`` or ``TypeVar`` definitions bounded by concrete scalar + classes. For example: + + .. code-block:: python + + from typing import TypeVar + import numpy as np + + S = TypeVar("S", bound=np.floating) + + def func(a: S, b: S) -> S: + ... + + or in the case of different input types mapping to different output types: + + .. code-block:: python + + from typing import overload + import numpy as np + + @overload + def phase(x: np.complex64) -> np.float32: ... + @overload + def phase(x: np.complex128) -> np.float64: ... + @overload + def phase(x: np.clongdouble) -> np.longdouble: ... + def phase(x: np.complexfloating) -> np.floating: + ... + +Timedelta64 +~~~~~~~~~~~ + +The `~numpy.timedelta64` class is not considered a subclass of +`~numpy.signedinteger`, the former only inheriting from `~numpy.generic` +while static type checking. + +0D arrays +~~~~~~~~~ + +During runtime numpy aggressively casts any passed 0D arrays into their +corresponding `~numpy.generic` instance. Until the introduction of shape +typing (see :pep:`646`) it is unfortunately not possible to make the +necessary distinction between 0D and >0D arrays. While thus not strictly +correct, all operations that can potentially perform a 0D-array -> scalar +cast are currently annotated as exclusively returning an `~numpy.ndarray`. + +If it is known in advance that an operation *will* perform a +0D-array -> scalar cast, then one can consider manually remedying the +situation with either `typing.cast` or a ``# type: ignore`` comment. + +Record array dtypes +~~~~~~~~~~~~~~~~~~~ + +The dtype of `numpy.recarray`, and the :ref:`routines.array-creation.rec` +functions in general, can be specified in one of two ways: + +* Directly via the ``dtype`` argument. +* With up to five helper arguments that operate via `numpy.rec.format_parser`: + ``formats``, ``names``, ``titles``, ``aligned`` and ``byteorder``. + +These two approaches are currently typed as being mutually exclusive, +*i.e.* if ``dtype`` is specified than one may not specify ``formats``. +While this mutual exclusivity is not (strictly) enforced during runtime, +combining both dtype specifiers can lead to unexpected or even downright +buggy behavior. + +API +--- + +""" +# NOTE: The API section will be appended with additional entries +# further down in this file + +# pyright: reportDeprecated=false + +from numpy._typing import ArrayLike, DTypeLike, NBitBase, NDArray + +__all__ = ["ArrayLike", "DTypeLike", "NBitBase", "NDArray"] + + +__DIR = __all__ + [k for k in globals() if k.startswith("__") and k.endswith("__")] +__DIR_SET = frozenset(__DIR) + + +def __dir__() -> list[str]: + return __DIR + +def __getattr__(name: str) -> object: + if name == "NBitBase": + import warnings + + # Deprecated in NumPy 2.3, 2025-05-01 + warnings.warn( + "`NBitBase` is deprecated and will be removed from numpy.typing in the " + "future. Use `@typing.overload` or a `TypeVar` with a scalar-type as upper " + "bound, instead. (deprecated in NumPy 2.3)", + DeprecationWarning, + stacklevel=2, + ) + return NBitBase + + if name in __DIR_SET: + return globals()[name] + + raise AttributeError(f"module {__name__!r} has no attribute {name!r}") + + +if __doc__ is not None: + from numpy._typing._add_docstring import _docstrings + __doc__ += _docstrings + __doc__ += '\n.. autoclass:: numpy.typing.NBitBase\n' + del _docstrings + +from numpy._pytesttester import PytestTester + +test = PytestTester(__name__) +del PytestTester diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__init__.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__init__.pyi new file mode 100644 index 0000000000000000000000000000000000000000..7a4c7b41079c19bfcae69cd1fdbc813bc8eb3f07 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__init__.pyi @@ -0,0 +1,3 @@ +from numpy._typing import ArrayLike, DTypeLike, NBitBase, NDArray + +__all__ = ["ArrayLike", "DTypeLike", "NBitBase", "NDArray"] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__pycache__/__init__.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..b599eb5d0dfab9f29c669679ace78027df7a8b11 Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__pycache__/__init__.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__pycache__/mypy_plugin.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__pycache__/mypy_plugin.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..51cf08ca094ece44a4a794788b3c38ea2369b271 Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/__pycache__/mypy_plugin.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/mypy_plugin.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/mypy_plugin.py new file mode 100644 index 0000000000000000000000000000000000000000..fb78eb077c44da20c17523e1fbe12c3541646162 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/mypy_plugin.py @@ -0,0 +1,200 @@ +"""A mypy_ plugin for managing a number of platform-specific annotations. +Its functionality can be split into three distinct parts: + +* Assigning the (platform-dependent) precisions of certain `~numpy.number` + subclasses, including the likes of `~numpy.int_`, `~numpy.intp` and + `~numpy.longlong`. See the documentation on + :ref:`scalar types ` for a comprehensive overview + of the affected classes. Without the plugin the precision of all relevant + classes will be inferred as `~typing.Any`. +* Removing all extended-precision `~numpy.number` subclasses that are + unavailable for the platform in question. Most notably this includes the + likes of `~numpy.float128` and `~numpy.complex256`. Without the plugin *all* + extended-precision types will, as far as mypy is concerned, be available + to all platforms. +* Assigning the (platform-dependent) precision of `~numpy.ctypeslib.c_intp`. + Without the plugin the type will default to `ctypes.c_int64`. + + .. versionadded:: 1.22 + +.. deprecated:: 2.3 + The :mod:`numpy.typing.mypy_plugin` entry-point is deprecated in favor of + platform-agnostic static type inference. Remove + ``numpy.typing.mypy_plugin`` from the ``plugins`` section of your mypy + configuration; if that surfaces new errors, please open an issue with a + minimal reproducer. + +Examples +-------- +To enable the plugin, one must add it to their mypy `configuration file`_: + +.. code-block:: ini + + [mypy] + plugins = numpy.typing.mypy_plugin + +.. _mypy: https://mypy-lang.org/ +.. _configuration file: https://mypy.readthedocs.io/en/stable/config_file.html + +""" + +from collections.abc import Callable, Iterable +from typing import TYPE_CHECKING, Final, TypeAlias, cast + +import numpy as np + +__all__: list[str] = [] + + +def _get_precision_dict() -> dict[str, str]: + names = [ + ("_NBitByte", np.byte), + ("_NBitShort", np.short), + ("_NBitIntC", np.intc), + ("_NBitIntP", np.intp), + ("_NBitInt", np.int_), + ("_NBitLong", np.long), + ("_NBitLongLong", np.longlong), + + ("_NBitHalf", np.half), + ("_NBitSingle", np.single), + ("_NBitDouble", np.double), + ("_NBitLongDouble", np.longdouble), + ] + ret: dict[str, str] = {} + for name, typ in names: + n = 8 * np.dtype(typ).itemsize + ret[f"{_MODULE}._nbit.{name}"] = f"{_MODULE}._nbit_base._{n}Bit" + return ret + + +def _get_extended_precision_list() -> list[str]: + extended_names = [ + "float96", + "float128", + "complex192", + "complex256", + ] + return [i for i in extended_names if hasattr(np, i)] + +def _get_c_intp_name() -> str: + # Adapted from `np.core._internal._getintp_ctype` + return { + "i": "c_int", + "l": "c_long", + "q": "c_longlong", + }.get(np.dtype("n").char, "c_long") + + +_MODULE: Final = "numpy._typing" + +#: A dictionary mapping type-aliases in `numpy._typing._nbit` to +#: concrete `numpy.typing.NBitBase` subclasses. +_PRECISION_DICT: Final = _get_precision_dict() + +#: A list with the names of all extended precision `np.number` subclasses. +_EXTENDED_PRECISION_LIST: Final = _get_extended_precision_list() + +#: The name of the ctypes equivalent of `np.intp` +_C_INTP: Final = _get_c_intp_name() + + +try: + if TYPE_CHECKING: + from mypy.typeanal import TypeAnalyser + + import mypy.types + from mypy.build import PRI_MED + from mypy.nodes import ImportFrom, MypyFile, Statement + from mypy.plugin import AnalyzeTypeContext, Plugin + +except ModuleNotFoundError as e: + + def plugin(version: str) -> type: + raise e + +else: + + _HookFunc: TypeAlias = Callable[[AnalyzeTypeContext], mypy.types.Type] + + def _hook(ctx: AnalyzeTypeContext) -> mypy.types.Type: + """Replace a type-alias with a concrete ``NBitBase`` subclass.""" + typ, _, api = ctx + name = typ.name.split(".")[-1] + name_new = _PRECISION_DICT[f"{_MODULE}._nbit.{name}"] + return cast("TypeAnalyser", api).named_type(name_new) + + def _index(iterable: Iterable[Statement], id: str) -> int: + """Identify the first ``ImportFrom`` instance the specified `id`.""" + for i, value in enumerate(iterable): + if getattr(value, "id", None) == id: + return i + raise ValueError("Failed to identify a `ImportFrom` instance " + f"with the following id: {id!r}") + + def _override_imports( + file: MypyFile, + module: str, + imports: list[tuple[str, str | None]], + ) -> None: + """Override the first `module`-based import with new `imports`.""" + # Construct a new `from module import y` statement + import_obj = ImportFrom(module, 0, names=imports) + import_obj.is_top_level = True + + # Replace the first `module`-based import statement with `import_obj` + for lst in [file.defs, cast("list[Statement]", file.imports)]: + i = _index(lst, module) + lst[i] = import_obj + + class _NumpyPlugin(Plugin): + """A mypy plugin for handling versus numpy-specific typing tasks.""" + + def get_type_analyze_hook(self, fullname: str) -> _HookFunc | None: + """Set the precision of platform-specific `numpy.number` + subclasses. + + For example: `numpy.int_`, `numpy.longlong` and `numpy.longdouble`. + """ + if fullname in _PRECISION_DICT: + return _hook + return None + + def get_additional_deps( + self, file: MypyFile + ) -> list[tuple[int, str, int]]: + """Handle all import-based overrides. + + * Import platform-specific extended-precision `numpy.number` + subclasses (*e.g.* `numpy.float96` and `numpy.float128`). + * Import the appropriate `ctypes` equivalent to `numpy.intp`. + + """ + fullname = file.fullname + if fullname == "numpy": + _override_imports( + file, + f"{_MODULE}._extended_precision", + imports=[(v, v) for v in _EXTENDED_PRECISION_LIST], + ) + elif fullname == "numpy.ctypeslib": + _override_imports( + file, + "ctypes", + imports=[(_C_INTP, "_c_intp")], + ) + return [(PRI_MED, fullname, -1)] + + def plugin(version: str) -> type: + import warnings + + plugin = "numpy.typing.mypy_plugin" + # Deprecated 2025-01-10, NumPy 2.3 + warn_msg = ( + f"`{plugin}` is deprecated, and will be removed in a future " + f"release. Please remove `plugins = {plugin}` in your mypy config." + f"(deprecated in NumPy 2.3)" + ) + warnings.warn(warn_msg, DeprecationWarning, stacklevel=3) + + return _NumpyPlugin diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/__init__.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..2d1d24231d1bb4aaf088a4c23d65e67dec8ebcdd Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/__init__.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/test_isfile.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/test_isfile.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..b7fbb64e63f724f890a7218cee6129fc3f14d59b Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/test_isfile.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/test_runtime.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/test_runtime.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..cb7ca377cdb34d607ae66d14bb45bcc1a9f3b97f Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/test_runtime.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/test_typing.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/test_typing.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..a965a5a7f8f3fa32a158e8e232b92e3e3e4099ed Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/__pycache__/test_typing.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/arithmetic.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/arithmetic.pyi new file mode 100644 index 0000000000000000000000000000000000000000..a68df2ea53c3a8b26082e1fe7591dedbe8fd7aa7 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/arithmetic.pyi @@ -0,0 +1,126 @@ +from typing import Any + +import numpy as np +import numpy.typing as npt + +b_ = np.bool() +dt = np.datetime64(0, "D") +td = np.timedelta64(0, "D") + +AR_b: npt.NDArray[np.bool] +AR_u: npt.NDArray[np.uint32] +AR_i: npt.NDArray[np.int64] +AR_f: npt.NDArray[np.longdouble] +AR_c: npt.NDArray[np.complex128] +AR_m: npt.NDArray[np.timedelta64] +AR_M: npt.NDArray[np.datetime64] + +ANY: Any + +AR_LIKE_b: list[bool] +AR_LIKE_u: list[np.uint32] +AR_LIKE_i: list[int] +AR_LIKE_f: list[float] +AR_LIKE_c: list[complex] +AR_LIKE_m: list[np.timedelta64] +AR_LIKE_M: list[np.datetime64] + +# Array subtraction + +# NOTE: mypys `NoReturn` errors are, unfortunately, not that great +_1 = AR_b - AR_LIKE_b # type: ignore[var-annotated] +_2 = AR_LIKE_b - AR_b # type: ignore[var-annotated] +AR_i - b"" # type: ignore[operator] + +AR_f - AR_LIKE_m # type: ignore[operator] +AR_f - AR_LIKE_M # type: ignore[operator] +AR_c - AR_LIKE_m # type: ignore[operator] +AR_c - AR_LIKE_M # type: ignore[operator] + +AR_m - AR_LIKE_f # type: ignore[operator] +AR_M - AR_LIKE_f # type: ignore[operator] +AR_m - AR_LIKE_c # type: ignore[operator] +AR_M - AR_LIKE_c # type: ignore[operator] + +AR_m - AR_LIKE_M # type: ignore[operator] +AR_LIKE_m - AR_M # type: ignore[operator] + +# array floor division + +AR_M // AR_LIKE_b # type: ignore[operator] +AR_M // AR_LIKE_u # type: ignore[operator] +AR_M // AR_LIKE_i # type: ignore[operator] +AR_M // AR_LIKE_f # type: ignore[operator] +AR_M // AR_LIKE_c # type: ignore[operator] +AR_M // AR_LIKE_m # type: ignore[operator] +AR_M // AR_LIKE_M # type: ignore[operator] + +AR_b // AR_LIKE_M # type: ignore[operator] +AR_u // AR_LIKE_M # type: ignore[operator] +AR_i // AR_LIKE_M # type: ignore[operator] +AR_f // AR_LIKE_M # type: ignore[operator] +AR_c // AR_LIKE_M # type: ignore[operator] +AR_m // AR_LIKE_M # type: ignore[operator] +AR_M // AR_LIKE_M # type: ignore[operator] + +_3 = AR_m // AR_LIKE_b # type: ignore[var-annotated] +AR_m // AR_LIKE_c # type: ignore[operator] + +AR_b // AR_LIKE_m # type: ignore[operator] +AR_u // AR_LIKE_m # type: ignore[operator] +AR_i // AR_LIKE_m # type: ignore[operator] +AR_f // AR_LIKE_m # type: ignore[operator] +AR_c // AR_LIKE_m # type: ignore[operator] + +# regression tests for https://github.com/numpy/numpy/issues/28957 +AR_c // 2 # type: ignore[operator] +AR_c // AR_i # type: ignore[operator] +AR_c // AR_c # type: ignore[operator] + +# Array multiplication + +AR_b *= AR_LIKE_u # type: ignore[arg-type] +AR_b *= AR_LIKE_i # type: ignore[arg-type] +AR_b *= AR_LIKE_f # type: ignore[arg-type] +AR_b *= AR_LIKE_c # type: ignore[arg-type] +AR_b *= AR_LIKE_m # type: ignore[arg-type] + +AR_u *= AR_LIKE_f # type: ignore[arg-type] +AR_u *= AR_LIKE_c # type: ignore[arg-type] +AR_u *= AR_LIKE_m # type: ignore[arg-type] + +AR_i *= AR_LIKE_f # type: ignore[arg-type] +AR_i *= AR_LIKE_c # type: ignore[arg-type] +AR_i *= AR_LIKE_m # type: ignore[arg-type] + +AR_f *= AR_LIKE_c # type: ignore[arg-type] +AR_f *= AR_LIKE_m # type: ignore[arg-type] + +# Array power + +AR_b **= AR_LIKE_b # type: ignore[misc] +AR_b **= AR_LIKE_u # type: ignore[misc] +AR_b **= AR_LIKE_i # type: ignore[misc] +AR_b **= AR_LIKE_f # type: ignore[misc] +AR_b **= AR_LIKE_c # type: ignore[misc] + +AR_u **= AR_LIKE_f # type: ignore[arg-type] +AR_u **= AR_LIKE_c # type: ignore[arg-type] + +AR_i **= AR_LIKE_f # type: ignore[arg-type] +AR_i **= AR_LIKE_c # type: ignore[arg-type] + +AR_f **= AR_LIKE_c # type: ignore[arg-type] + +# Scalars + +b_ - b_ # type: ignore[operator] + +dt + dt # type: ignore[operator] +td - dt # type: ignore[operator] +td % 1 # type: ignore[operator] +td / dt # type: ignore[operator] +td % dt # type: ignore[operator] + +-b_ # type: ignore[operator] ++b_ # type: ignore[operator] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/array_constructors.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/array_constructors.pyi new file mode 100644 index 0000000000000000000000000000000000000000..6ed619958c1c797710e610b3521ca04ba8d04dd1 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/array_constructors.pyi @@ -0,0 +1,34 @@ +import numpy as np +import numpy.typing as npt + +a: npt.NDArray[np.float64] +generator = (i for i in range(10)) + +np.require(a, requirements=1) # type: ignore[call-overload] +np.require(a, requirements="TEST") # type: ignore[arg-type] + +np.zeros("test") # type: ignore[arg-type] +np.zeros() # type: ignore[call-overload] + +np.ones("test") # type: ignore[arg-type] +np.ones() # type: ignore[call-overload] + +np.array(0, float, True) # type: ignore[call-overload] + +np.linspace(None, "bob") # type: ignore[call-overload] +np.linspace(0, 2, num=10.0) # type: ignore[call-overload] +np.linspace(0, 2, endpoint="True") # type: ignore[call-overload] +np.linspace(0, 2, retstep=b"False") # type: ignore[call-overload] +np.linspace(0, 2, dtype=0) # type: ignore[call-overload] +np.linspace(0, 2, axis=None) # type: ignore[call-overload] + +np.logspace(None, "bob") # type: ignore[call-overload] +np.logspace(0, 2, base=None) # type: ignore[call-overload] + +np.geomspace(None, "bob") # type: ignore[call-overload] + +np.stack(generator) # type: ignore[call-overload] +np.hstack({1, 2}) # type: ignore[call-overload] +np.vstack(1) # type: ignore[call-overload] + +np.array([1], like=1) # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/array_like.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/array_like.pyi new file mode 100644 index 0000000000000000000000000000000000000000..4e37354e8ebaffbeb281c5f4b13fb4ba96d55527 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/array_like.pyi @@ -0,0 +1,15 @@ +import numpy as np +from numpy._typing import ArrayLike + +class A: ... + +x1: ArrayLike = (i for i in range(10)) # type: ignore[assignment] +x2: ArrayLike = A() # type: ignore[assignment] +x3: ArrayLike = {1: "foo", 2: "bar"} # type: ignore[assignment] + +scalar = np.int64(1) +scalar.__array__(dtype=np.float64) # type: ignore[call-overload] +array = np.array([1]) +array.__array__(dtype=np.float64) # type: ignore[call-overload] + +array.setfield(np.eye(1), np.int32, (0, 1)) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/array_pad.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/array_pad.pyi new file mode 100644 index 0000000000000000000000000000000000000000..42e61c8d70d652836c6d07146cacadf00fd15536 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/array_pad.pyi @@ -0,0 +1,6 @@ +import numpy as np +import numpy.typing as npt + +AR_i8: npt.NDArray[np.int64] + +np.pad(AR_i8, 2, mode="bob") # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/arrayprint.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/arrayprint.pyi new file mode 100644 index 0000000000000000000000000000000000000000..3c9dc9330a2bccfa4bae7cc83a7d159cedb1877a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/arrayprint.pyi @@ -0,0 +1,15 @@ +from collections.abc import Callable +from typing import Any + +import numpy as np +import numpy.typing as npt + +AR: npt.NDArray[np.float64] +func1: Callable[[Any], str] +func2: Callable[[np.integer], str] + +np.array2string(AR, legacy="1.14") # type: ignore[arg-type] +np.array2string(AR, sign="*") # type: ignore[arg-type] +np.array2string(AR, floatmode="default") # type: ignore[arg-type] +np.array2string(AR, formatter={"A": func1}) # type: ignore[arg-type] +np.array2string(AR, formatter={"float": func2}) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/arrayterator.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/arrayterator.pyi new file mode 100644 index 0000000000000000000000000000000000000000..8d2295a5859ffe06e84dfdcf66cb8f712f72943c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/arrayterator.pyi @@ -0,0 +1,14 @@ +import numpy as np +import numpy.typing as npt + +AR_i8: npt.NDArray[np.int64] +ar_iter = np.lib.Arrayterator(AR_i8) + +np.lib.Arrayterator(np.int64()) # type: ignore[arg-type] +ar_iter.shape = (10, 5) # type: ignore[misc] +ar_iter[None] # type: ignore[index] +ar_iter[None, 1] # type: ignore[index] +ar_iter[np.intp()] # type: ignore[index] +ar_iter[np.intp(), ...] # type: ignore[index] +ar_iter[AR_i8] # type: ignore[index] +ar_iter[AR_i8, :] # type: ignore[index] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/bitwise_ops.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/bitwise_ops.pyi new file mode 100644 index 0000000000000000000000000000000000000000..f4de2928ff54ec63bcbff72b4c0bcfde9bcfad73 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/bitwise_ops.pyi @@ -0,0 +1,17 @@ +import numpy as np + +i8 = np.int64() +i4 = np.int32() +u8 = np.uint64() +b_ = np.bool() +i = 0 + +f8 = np.float64() + +b_ >> f8 # type: ignore[operator] +i8 << f8 # type: ignore[operator] +i | f8 # type: ignore[operator] +i8 ^ f8 # type: ignore[operator] +u8 & f8 # type: ignore[operator] +~f8 # type: ignore[operator] +# TODO: Certain mixes like i4 << u8 go to float and thus should fail diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/char.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/char.pyi new file mode 100644 index 0000000000000000000000000000000000000000..3dbe5eda296e9dc85ed73d99e440c7da73600f02 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/char.pyi @@ -0,0 +1,63 @@ +import numpy as np +import numpy.typing as npt + +AR_U: npt.NDArray[np.str_] +AR_S: npt.NDArray[np.bytes_] + +np.char.equal(AR_U, AR_S) # type: ignore[arg-type] +np.char.not_equal(AR_U, AR_S) # type: ignore[arg-type] + +np.char.greater_equal(AR_U, AR_S) # type: ignore[arg-type] +np.char.less_equal(AR_U, AR_S) # type: ignore[arg-type] +np.char.greater(AR_U, AR_S) # type: ignore[arg-type] +np.char.less(AR_U, AR_S) # type: ignore[arg-type] + +np.char.encode(AR_S) # type: ignore[arg-type] +np.char.decode(AR_U) # type: ignore[arg-type] + +np.char.join(AR_U, b"_") # type: ignore[arg-type] +np.char.join(AR_S, "_") # type: ignore[arg-type] + +np.char.ljust(AR_U, 5, fillchar=b"a") # type: ignore[arg-type] +np.char.rjust(AR_U, 5, fillchar=b"a") # type: ignore[arg-type] + +np.char.lstrip(AR_U, chars=b"a") # type: ignore[arg-type] +np.char.lstrip(AR_S, chars="a") # type: ignore[arg-type] +np.char.strip(AR_U, chars=b"a") # type: ignore[arg-type] +np.char.strip(AR_S, chars="a") # type: ignore[arg-type] +np.char.rstrip(AR_U, chars=b"a") # type: ignore[arg-type] +np.char.rstrip(AR_S, chars="a") # type: ignore[arg-type] + +np.char.partition(AR_U, b"a") # type: ignore[arg-type] +np.char.partition(AR_S, "a") # type: ignore[arg-type] +np.char.rpartition(AR_U, b"a") # type: ignore[arg-type] +np.char.rpartition(AR_S, "a") # type: ignore[arg-type] + +np.char.replace(AR_U, b"_", b"-") # type: ignore[arg-type] +np.char.replace(AR_S, "_", "-") # type: ignore[arg-type] + +np.char.split(AR_U, b"_") # type: ignore[arg-type] +np.char.split(AR_S, "_") # type: ignore[arg-type] +np.char.rsplit(AR_U, b"_") # type: ignore[arg-type] +np.char.rsplit(AR_S, "_") # type: ignore[arg-type] + +np.char.count(AR_U, b"a", start=[1, 2, 3]) # type: ignore[arg-type] +np.char.count(AR_S, "a", end=9) # type: ignore[arg-type] + +np.char.endswith(AR_U, b"a", start=[1, 2, 3]) # type: ignore[arg-type] +np.char.endswith(AR_S, "a", end=9) # type: ignore[arg-type] +np.char.startswith(AR_U, b"a", start=[1, 2, 3]) # type: ignore[arg-type] +np.char.startswith(AR_S, "a", end=9) # type: ignore[arg-type] + +np.char.find(AR_U, b"a", start=[1, 2, 3]) # type: ignore[arg-type] +np.char.find(AR_S, "a", end=9) # type: ignore[arg-type] +np.char.rfind(AR_U, b"a", start=[1, 2, 3]) # type: ignore[arg-type] +np.char.rfind(AR_S, "a", end=9) # type: ignore[arg-type] + +np.char.index(AR_U, b"a", start=[1, 2, 3]) # type: ignore[arg-type] +np.char.index(AR_S, "a", end=9) # type: ignore[arg-type] +np.char.rindex(AR_U, b"a", start=[1, 2, 3]) # type: ignore[arg-type] +np.char.rindex(AR_S, "a", end=9) # type: ignore[arg-type] + +np.char.isdecimal(AR_S) # type: ignore[arg-type] +np.char.isnumeric(AR_S) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/chararray.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/chararray.pyi new file mode 100644 index 0000000000000000000000000000000000000000..589895510227e5e8a236d685bf02cc4c65a0dcee --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/chararray.pyi @@ -0,0 +1,61 @@ +from typing import Any + +import numpy as np + +AR_U: np.char.chararray[tuple[Any, ...], np.dtype[np.str_]] +AR_S: np.char.chararray[tuple[Any, ...], np.dtype[np.bytes_]] + +AR_S.encode() # type: ignore[misc] +AR_U.decode() # type: ignore[misc] + +AR_U.join(b"_") # type: ignore[arg-type] +AR_S.join("_") # type: ignore[arg-type] + +AR_U.ljust(5, fillchar=b"a") # type: ignore[arg-type] +AR_U.rjust(5, fillchar=b"a") # type: ignore[arg-type] + +AR_U.lstrip(chars=b"a") # type: ignore[arg-type] +AR_S.lstrip(chars="a") # type: ignore[arg-type] +AR_U.strip(chars=b"a") # type: ignore[arg-type] +AR_S.strip(chars="a") # type: ignore[arg-type] +AR_U.rstrip(chars=b"a") # type: ignore[arg-type] +AR_S.rstrip(chars="a") # type: ignore[arg-type] + +AR_U.partition(b"a") # type: ignore[arg-type] +AR_S.partition("a") # type: ignore[arg-type] +AR_U.rpartition(b"a") # type: ignore[arg-type] +AR_S.rpartition("a") # type: ignore[arg-type] + +AR_U.replace(b"_", b"-") # type: ignore[arg-type] +AR_S.replace("_", "-") # type: ignore[arg-type] + +AR_U.split(b"_") # type: ignore[arg-type] +AR_S.split("_") # type: ignore[arg-type] +AR_S.split(1) # type: ignore[arg-type] +AR_U.rsplit(b"_") # type: ignore[arg-type] +AR_S.rsplit("_") # type: ignore[arg-type] + +AR_U.count(b"a", start=[1, 2, 3]) # type: ignore[arg-type] +AR_S.count("a", end=9) # type: ignore[arg-type] + +AR_U.endswith(b"a", start=[1, 2, 3]) # type: ignore[arg-type] +AR_S.endswith("a", end=9) # type: ignore[arg-type] +AR_U.startswith(b"a", start=[1, 2, 3]) # type: ignore[arg-type] +AR_S.startswith("a", end=9) # type: ignore[arg-type] + +AR_U.find(b"a", start=[1, 2, 3]) # type: ignore[arg-type] +AR_S.find("a", end=9) # type: ignore[arg-type] +AR_U.rfind(b"a", start=[1, 2, 3]) # type: ignore[arg-type] +AR_S.rfind("a", end=9) # type: ignore[arg-type] + +AR_U.index(b"a", start=[1, 2, 3]) # type: ignore[arg-type] +AR_S.index("a", end=9) # type: ignore[arg-type] +AR_U.rindex(b"a", start=[1, 2, 3]) # type: ignore[arg-type] +AR_S.rindex("a", end=9) # type: ignore[arg-type] + +AR_U == AR_S # type: ignore[operator] +AR_U != AR_S # type: ignore[operator] +AR_U >= AR_S # type: ignore[operator] +AR_U <= AR_S # type: ignore[operator] +AR_U > AR_S # type: ignore[operator] +AR_U < AR_S # type: ignore[operator] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/comparisons.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/comparisons.pyi new file mode 100644 index 0000000000000000000000000000000000000000..d2965b5c1a918fc4f0170f38ff22fd6779d9e3db --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/comparisons.pyi @@ -0,0 +1,27 @@ +import numpy as np +import numpy.typing as npt + +AR_i: npt.NDArray[np.int64] +AR_f: npt.NDArray[np.float64] +AR_c: npt.NDArray[np.complex128] +AR_m: npt.NDArray[np.timedelta64] +AR_M: npt.NDArray[np.datetime64] + +AR_f > AR_m # type: ignore[operator] +AR_c > AR_m # type: ignore[operator] + +AR_m > AR_f # type: ignore[operator] +AR_m > AR_c # type: ignore[operator] + +AR_i > AR_M # type: ignore[operator] +AR_f > AR_M # type: ignore[operator] +AR_m > AR_M # type: ignore[operator] + +AR_M > AR_i # type: ignore[operator] +AR_M > AR_f # type: ignore[operator] +AR_M > AR_m # type: ignore[operator] + +AR_i > "" # type: ignore[operator] +AR_i > b"" # type: ignore[operator] +"" > AR_M # type: ignore[operator] +b"" > AR_M # type: ignore[operator] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/constants.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/constants.pyi new file mode 100644 index 0000000000000000000000000000000000000000..10717f664e0a679fdd30e232001948dac6da063d --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/constants.pyi @@ -0,0 +1,3 @@ +import numpy as np + +np.little_endian = np.little_endian # type: ignore[misc] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/datasource.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/datasource.pyi new file mode 100644 index 0000000000000000000000000000000000000000..4c603cf693a15b801dd564bbcdf9ce1b1b1a2c73 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/datasource.pyi @@ -0,0 +1,16 @@ +from pathlib import Path + +import numpy as np + +path: Path +d1: np.lib.npyio.DataSource + +d1.abspath(path) # type: ignore[arg-type] +d1.abspath(b"...") # type: ignore[arg-type] + +d1.exists(path) # type: ignore[arg-type] +d1.exists(b"...") # type: ignore[arg-type] + +d1.open(path, "r") # type: ignore[arg-type] +d1.open(b"...", encoding="utf8") # type: ignore[arg-type] +d1.open(None, newline="/n") # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/dtype.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/dtype.pyi new file mode 100644 index 0000000000000000000000000000000000000000..64a7c3f775e1a14080aafda8ba3ff293232e9c47 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/dtype.pyi @@ -0,0 +1,17 @@ +import numpy as np + +class Test1: + not_dtype = np.dtype(float) + +class Test2: + dtype = float + +np.dtype(Test1()) # type: ignore[call-overload] +np.dtype(Test2()) # type: ignore[arg-type] + +np.dtype( # type: ignore[call-overload] + { + "field1": (float, 1), + "field2": (int, 3), + } +) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/einsumfunc.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/einsumfunc.pyi new file mode 100644 index 0000000000000000000000000000000000000000..982ad986297f6695126c5831ff9d6b66e1b60da8 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/einsumfunc.pyi @@ -0,0 +1,12 @@ +import numpy as np +import numpy.typing as npt + +AR_i: npt.NDArray[np.int64] +AR_f: npt.NDArray[np.float64] +AR_m: npt.NDArray[np.timedelta64] +AR_U: npt.NDArray[np.str_] + +np.einsum("i,i->i", AR_i, AR_m) # type: ignore[arg-type] +np.einsum("i,i->i", AR_f, AR_f, dtype=np.int32) # type: ignore[arg-type] +np.einsum("i,i->i", AR_i, AR_i, out=AR_U) # type: ignore[type-var] +np.einsum("i,i->i", AR_i, AR_i, out=AR_U, casting="unsafe") # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/flatiter.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/flatiter.pyi new file mode 100644 index 0000000000000000000000000000000000000000..2c6e912bd3185b30956af18f6ce329638165ff8c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/flatiter.pyi @@ -0,0 +1,38 @@ +from typing import Any + +import numpy as np +import numpy.typing as npt + +class _Index: + def __index__(self) -> int: ... + +class _MyArray: + def __array__(self) -> np.ndarray[tuple[int], np.dtypes.Float64DType]: ... + +_index: _Index +_my_array: _MyArray +_something: Any +_dtype: np.dtype[np.int8] + +_a_nd: np.flatiter[npt.NDArray[np.float64]] + +### + +_a_nd.base = _something # type: ignore[misc] +_a_nd.coords = _something # type: ignore[misc] +_a_nd.index = _something # type: ignore[misc] + +_a_nd.copy("C") # type: ignore[call-arg] +_a_nd.copy(order="C") # type: ignore[call-arg] + +# NOTE: Contrary to `ndarray.__getitem__` its counterpart in `flatiter` +# does not accept objects with the `__array__` or `__index__` protocols; +# boolean indexing is just plain broken (gh-17175) +_a_nd[np.True_] # type: ignore[call-overload] +_a_nd[_index] # type: ignore[call-overload] +_a_nd[_my_array] # type: ignore[call-overload] + +# `dtype` and `copy` are no-ops in `flatiter.__array__` +_a_nd.__array__(_dtype) # type: ignore[arg-type] +_a_nd.__array__(dtype=_dtype) # type: ignore[call-arg] +_a_nd.__array__(copy=True) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/fromnumeric.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/fromnumeric.pyi new file mode 100644 index 0000000000000000000000000000000000000000..92b0cb3662073011885434b8fa7279528c1cf708 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/fromnumeric.pyi @@ -0,0 +1,148 @@ +"""Tests for :mod:`numpy._core.fromnumeric`.""" + +import numpy as np +import numpy.typing as npt + +A = np.array(True, ndmin=2, dtype=bool) +A.setflags(write=False) +AR_U: npt.NDArray[np.str_] +AR_M: npt.NDArray[np.datetime64] +AR_f4: npt.NDArray[np.float32] + +a = np.bool(True) + +np.take(a, None) # type: ignore[call-overload] +np.take(a, axis=1.0) # type: ignore[call-overload] +np.take(A, out=1) # type: ignore[call-overload] +np.take(A, mode="bob") # type: ignore[call-overload] + +np.reshape(a, None) # type: ignore[call-overload] +np.reshape(A, 1, order="bob") # type: ignore[call-overload] + +np.choose(a, None) # type: ignore[call-overload] +np.choose(a, out=1.0) # type: ignore[call-overload] +np.choose(A, mode="bob") # type: ignore[call-overload] + +np.repeat(a, None) # type: ignore[call-overload] +np.repeat(A, 1, axis=1.0) # type: ignore[call-overload] + +np.swapaxes(A, None, 1) # type: ignore[call-overload] +np.swapaxes(A, 1, [0]) # type: ignore[call-overload] + +np.transpose(A, axes=1.0) # type: ignore[call-overload] + +np.partition(a, None) # type: ignore[call-overload] +np.partition(a, 0, axis="bob") # type: ignore[call-overload] +np.partition(A, 0, kind="bob") # type: ignore[call-overload] +np.partition(A, 0, order=range(5)) # type: ignore[arg-type] + +np.argpartition(a, None) # type: ignore[arg-type] +np.argpartition(a, 0, axis="bob") # type: ignore[arg-type] +np.argpartition(A, 0, kind="bob") # type: ignore[arg-type] +np.argpartition(A, 0, order=range(5)) # type: ignore[arg-type] + +np.sort(A, axis="bob") # type: ignore[call-overload] +np.sort(A, kind="bob") # type: ignore[call-overload] +np.sort(A, order=range(5)) # type: ignore[arg-type] + +np.argsort(A, axis="bob") # type: ignore[arg-type] +np.argsort(A, kind="bob") # type: ignore[arg-type] +np.argsort(A, order=range(5)) # type: ignore[arg-type] + +np.argmax(A, axis="bob") # type: ignore[call-overload] +np.argmax(A, kind="bob") # type: ignore[call-overload] +np.argmax(A, out=AR_f4) # type: ignore[type-var] + +np.argmin(A, axis="bob") # type: ignore[call-overload] +np.argmin(A, kind="bob") # type: ignore[call-overload] +np.argmin(A, out=AR_f4) # type: ignore[type-var] + +np.searchsorted(A[0], 0, side="bob") # type: ignore[call-overload] +np.searchsorted(A[0], 0, sorter=1.0) # type: ignore[call-overload] + +np.resize(A, 1.0) # type: ignore[call-overload] + +np.squeeze(A, 1.0) # type: ignore[call-overload] + +np.diagonal(A, offset=None) # type: ignore[call-overload] +np.diagonal(A, axis1="bob") # type: ignore[call-overload] +np.diagonal(A, axis2=[]) # type: ignore[call-overload] + +np.trace(A, offset=None) # type: ignore[call-overload] +np.trace(A, axis1="bob") # type: ignore[call-overload] +np.trace(A, axis2=[]) # type: ignore[call-overload] + +np.ravel(a, order="bob") # type: ignore[call-overload] + +np.nonzero(0) # type: ignore[arg-type] + +np.compress([True], A, axis=1.0) # type: ignore[call-overload] + +np.clip(a, 1, 2, out=1) # type: ignore[call-overload] + +np.sum(a, axis=1.0) # type: ignore[call-overload] +np.sum(a, keepdims=1.0) # type: ignore[call-overload] +np.sum(a, initial=[1]) # type: ignore[call-overload] + +np.all(a, axis=1.0) # type: ignore[call-overload] +np.all(a, keepdims=1.0) # type: ignore[call-overload] +np.all(a, out=1.0) # type: ignore[call-overload] + +np.any(a, axis=1.0) # type: ignore[call-overload] +np.any(a, keepdims=1.0) # type: ignore[call-overload] +np.any(a, out=1.0) # type: ignore[call-overload] + +np.cumsum(a, axis=1.0) # type: ignore[call-overload] +np.cumsum(a, dtype=1.0) # type: ignore[call-overload] +np.cumsum(a, out=1.0) # type: ignore[call-overload] + +np.ptp(a, axis=1.0) # type: ignore[call-overload] +np.ptp(a, keepdims=1.0) # type: ignore[call-overload] +np.ptp(a, out=1.0) # type: ignore[call-overload] + +np.amax(a, axis=1.0) # type: ignore[call-overload] +np.amax(a, keepdims=1.0) # type: ignore[call-overload] +np.amax(a, out=1.0) # type: ignore[call-overload] +np.amax(a, initial=[1.0]) # type: ignore[call-overload] +np.amax(a, where=[1.0]) # type: ignore[arg-type] + +np.amin(a, axis=1.0) # type: ignore[call-overload] +np.amin(a, keepdims=1.0) # type: ignore[call-overload] +np.amin(a, out=1.0) # type: ignore[call-overload] +np.amin(a, initial=[1.0]) # type: ignore[call-overload] +np.amin(a, where=[1.0]) # type: ignore[arg-type] + +np.prod(a, axis=1.0) # type: ignore[call-overload] +np.prod(a, out=False) # type: ignore[call-overload] +np.prod(a, keepdims=1.0) # type: ignore[call-overload] +np.prod(a, initial=int) # type: ignore[call-overload] +np.prod(a, where=1.0) # type: ignore[call-overload] +np.prod(AR_U) # type: ignore[arg-type] + +np.cumprod(a, axis=1.0) # type: ignore[call-overload] +np.cumprod(a, out=False) # type: ignore[call-overload] +np.cumprod(AR_U) # type: ignore[arg-type] + +np.size(a, axis=1.0) # type: ignore[arg-type] + +np.around(a, decimals=1.0) # type: ignore[call-overload] +np.around(a, out=type) # type: ignore[call-overload] +np.around(AR_U) # type: ignore[arg-type] + +np.mean(a, axis=1.0) # type: ignore[call-overload] +np.mean(a, out=False) # type: ignore[call-overload] +np.mean(a, keepdims=1.0) # type: ignore[call-overload] +np.mean(AR_U) # type: ignore[arg-type] +np.mean(AR_M) # type: ignore[arg-type] + +np.std(a, axis=1.0) # type: ignore[call-overload] +np.std(a, out=False) # type: ignore[call-overload] +np.std(a, ddof="test") # type: ignore[call-overload] +np.std(a, keepdims=1.0) # type: ignore[call-overload] +np.std(AR_U) # type: ignore[arg-type] + +np.var(a, axis=1.0) # type: ignore[call-overload] +np.var(a, out=False) # type: ignore[call-overload] +np.var(a, ddof="test") # type: ignore[call-overload] +np.var(a, keepdims=1.0) # type: ignore[call-overload] +np.var(AR_U) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/histograms.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/histograms.pyi new file mode 100644 index 0000000000000000000000000000000000000000..5f7892719eb4bf0c225e6ff6ddaf52c42de9c9c9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/histograms.pyi @@ -0,0 +1,12 @@ +import numpy as np +import numpy.typing as npt + +AR_i8: npt.NDArray[np.int64] +AR_f8: npt.NDArray[np.float64] + +np.histogram_bin_edges(AR_i8, range=(0, 1, 2)) # type: ignore[arg-type] + +np.histogram(AR_i8, range=(0, 1, 2)) # type: ignore[arg-type] + +np.histogramdd(AR_i8, range=(0, 1)) # type: ignore[arg-type] +np.histogramdd(AR_i8, range=[(0, 1, 2)]) # type: ignore[list-item] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/index_tricks.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/index_tricks.pyi new file mode 100644 index 0000000000000000000000000000000000000000..8b7b1ae2b5bfc0705bbbfbdd244c06b90d0fdd4d --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/index_tricks.pyi @@ -0,0 +1,14 @@ +import numpy as np + +AR_LIKE_i: list[int] +AR_LIKE_f: list[float] + +np.ndindex([1, 2, 3]) # type: ignore[call-overload] +np.unravel_index(AR_LIKE_f, (1, 2, 3)) # type: ignore[arg-type] +np.ravel_multi_index(AR_LIKE_i, (1, 2, 3), mode="bob") # type: ignore[call-overload] +np.mgrid[1] # type: ignore[index] +np.mgrid[...] # type: ignore[index] +np.ogrid[1] # type: ignore[index] +np.ogrid[...] # type: ignore[index] +np.fill_diagonal(AR_LIKE_f, 2) # type: ignore[arg-type] +np.diag_indices(1.0) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_function_base.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_function_base.pyi new file mode 100644 index 0000000000000000000000000000000000000000..d7be993bf04c96555ef8dae357aacca337c3d478 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_function_base.pyi @@ -0,0 +1,60 @@ +from typing import Any + +import numpy as np +import numpy.typing as npt + +AR_f8: npt.NDArray[np.float64] +AR_c16: npt.NDArray[np.complex128] +AR_m: npt.NDArray[np.timedelta64] +AR_M: npt.NDArray[np.datetime64] +AR_O: npt.NDArray[np.object_] +AR_b_list: list[npt.NDArray[np.bool]] + +def fn_none_i(a: None, /) -> npt.NDArray[Any]: ... +def fn_ar_i(a: npt.NDArray[np.float64], posarg: int, /) -> npt.NDArray[Any]: ... + +np.average(AR_m) # type: ignore[type-var] +np.select(1, [AR_f8]) # type: ignore[call-overload] +np.angle(AR_m) # type: ignore[type-var] +np.unwrap(AR_m) # type: ignore[type-var] +np.unwrap(AR_c16) # type: ignore[type-var] +np.trim_zeros(1) # type: ignore[arg-type] +np.place(1, [True], 1.5) # type: ignore[arg-type] +np.vectorize(1) # type: ignore[arg-type] +np.place(AR_f8, slice(None), 5) # type: ignore[arg-type] + +np.piecewise(AR_f8, True, [fn_ar_i], "wrong") # type: ignore[call-overload] +np.piecewise(AR_f8, AR_b_list, [fn_none_i]) # type: ignore[call-overload] +np.piecewise(AR_f8, AR_b_list, [fn_ar_i]) # type: ignore[call-overload] +np.piecewise(AR_f8, AR_b_list, [fn_ar_i], 3.14) # type: ignore[call-overload] +np.piecewise(AR_f8, AR_b_list, [fn_ar_i], 42, None) # type: ignore[call-overload] +np.piecewise(AR_f8, AR_b_list, [fn_ar_i], 42, _=None) # type: ignore[list-item] + +np.interp(AR_f8, AR_c16, AR_f8) # type: ignore[arg-type] +np.interp(AR_c16, AR_f8, AR_f8) # type: ignore[arg-type] +np.interp(AR_f8, AR_f8, AR_f8, period=AR_c16) # type: ignore[call-overload] +np.interp(AR_f8, AR_f8, AR_O) # type: ignore[arg-type] + +np.cov(AR_m) # type: ignore[type-var] +np.cov(AR_O) # type: ignore[type-var] +np.corrcoef(AR_m) # type: ignore[type-var] +np.corrcoef(AR_O) # type: ignore[type-var] +np.corrcoef(AR_f8, bias=True) # type: ignore[call-overload] +np.corrcoef(AR_f8, ddof=2) # type: ignore[call-overload] +np.blackman(1j) # type: ignore[arg-type] +np.bartlett(1j) # type: ignore[arg-type] +np.hanning(1j) # type: ignore[arg-type] +np.hamming(1j) # type: ignore[arg-type] +np.hamming(AR_c16) # type: ignore[arg-type] +np.kaiser(1j, 1) # type: ignore[arg-type] +np.sinc(AR_O) # type: ignore[type-var] +np.median(AR_M) # type: ignore[type-var] + +np.percentile(AR_f8, 50j) # type: ignore[call-overload] +np.percentile(AR_f8, 50, interpolation="bob") # type: ignore[call-overload] +np.quantile(AR_f8, 0.5j) # type: ignore[call-overload] +np.quantile(AR_f8, 0.5, interpolation="bob") # type: ignore[call-overload] +np.meshgrid(AR_f8, AR_f8, indexing="bob") # type: ignore[call-overload] +np.delete(AR_f8, AR_f8) # type: ignore[arg-type] +np.insert(AR_f8, AR_f8, 1.5) # type: ignore[arg-type] +np.digitize(AR_f8, 1j) # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_polynomial.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_polynomial.pyi new file mode 100644 index 0000000000000000000000000000000000000000..727eb7f4b2b121f4b51c61e8df467d2ba7bb6d85 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_polynomial.pyi @@ -0,0 +1,29 @@ +import numpy as np +import numpy.typing as npt + +AR_f8: npt.NDArray[np.float64] +AR_c16: npt.NDArray[np.complex128] +AR_O: npt.NDArray[np.object_] +AR_U: npt.NDArray[np.str_] + +poly_obj: np.poly1d + +np.polymul(AR_f8, AR_U) # type: ignore[arg-type] +np.polydiv(AR_f8, AR_U) # type: ignore[arg-type] + +5**poly_obj # type: ignore[operator] + +np.polyint(AR_U) # type: ignore[arg-type] +np.polyint(AR_f8, m=1j) # type: ignore[call-overload] + +np.polyder(AR_U) # type: ignore[arg-type] +np.polyder(AR_f8, m=1j) # type: ignore[call-overload] + +np.polyfit(AR_O, AR_f8, 1) # type: ignore[arg-type] +np.polyfit(AR_f8, AR_f8, 1, rcond=1j) # type: ignore[call-overload] +np.polyfit(AR_f8, AR_f8, 1, w=AR_c16) # type: ignore[arg-type] +np.polyfit(AR_f8, AR_f8, 1, cov="bob") # type: ignore[call-overload] + +np.polyval(AR_f8, AR_U) # type: ignore[arg-type] +np.polyadd(AR_f8, AR_U) # type: ignore[arg-type] +np.polysub(AR_f8, AR_U) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_utils.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_utils.pyi new file mode 100644 index 0000000000000000000000000000000000000000..25af32b432977e311d8612c74725340d926cf590 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_utils.pyi @@ -0,0 +1,3 @@ +import numpy.lib.array_utils as array_utils + +array_utils.byte_bounds(1) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_version.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_version.pyi new file mode 100644 index 0000000000000000000000000000000000000000..62011a848cc15a1c2f1454a80aba21d814855a8c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/lib_version.pyi @@ -0,0 +1,6 @@ +from numpy.lib import NumpyVersion + +version: NumpyVersion + +NumpyVersion(b"1.8.0") # type: ignore[arg-type] +version >= b"1.8.0" # type: ignore[operator] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/linalg.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/linalg.pyi new file mode 100644 index 0000000000000000000000000000000000000000..78aceb235f8da5a57f6b4c52fc7b3e5e510404bc --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/linalg.pyi @@ -0,0 +1,52 @@ +import numpy as np +import numpy.typing as npt + +AR_f8: npt.NDArray[np.float64] +AR_O: npt.NDArray[np.object_] +AR_M: npt.NDArray[np.datetime64] + +np.linalg.tensorsolve(AR_O, AR_O) # type: ignore[arg-type] + +np.linalg.solve(AR_O, AR_O) # type: ignore[arg-type] + +np.linalg.tensorinv(AR_O) # type: ignore[arg-type] + +np.linalg.inv(AR_O) # type: ignore[arg-type] + +np.linalg.matrix_power(AR_M, 5) # type: ignore[arg-type] + +np.linalg.cholesky(AR_O) # type: ignore[arg-type] + +np.linalg.qr(AR_O) # type: ignore[arg-type] +np.linalg.qr(AR_f8, mode="bob") # type: ignore[call-overload] + +np.linalg.eigvals(AR_O) # type: ignore[arg-type] + +np.linalg.eigvalsh(AR_O) # type: ignore[arg-type] +np.linalg.eigvalsh(AR_O, UPLO="bob") # type: ignore[call-overload] + +np.linalg.eig(AR_O) # type: ignore[arg-type] + +np.linalg.eigh(AR_O) # type: ignore[arg-type] +np.linalg.eigh(AR_O, UPLO="bob") # type: ignore[call-overload] + +np.linalg.svd(AR_O) # type: ignore[arg-type] + +np.linalg.svdvals(AR_O) # type: ignore[arg-type] +np.linalg.svdvals(AR_M) # type: ignore[arg-type] +np.linalg.svdvals(x=AR_f8) # type: ignore[call-overload] + +np.linalg.cond(AR_O) # type: ignore[arg-type] +np.linalg.cond(AR_f8, p="bob") # type: ignore[arg-type] + +np.linalg.matrix_rank(AR_O) # type: ignore[arg-type] + +np.linalg.pinv(AR_O) # type: ignore[arg-type] + +np.linalg.slogdet(AR_O) # type: ignore[arg-type] + +np.linalg.det(AR_O) # type: ignore[arg-type] + +np.linalg.norm(AR_f8, ord="bob") # type: ignore[call-overload] + +np.linalg.multi_dot([AR_M]) # type: ignore[list-item] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ma.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ma.pyi new file mode 100644 index 0000000000000000000000000000000000000000..084ae971bdd059ce6c5f03d5eeb561f6ec5c3e84 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ma.pyi @@ -0,0 +1,155 @@ +from typing import TypeAlias, TypeVar + +import numpy as np +import numpy.typing as npt +from numpy._typing import _AnyShape + +_ScalarT = TypeVar("_ScalarT", bound=np.generic) +MaskedArray: TypeAlias = np.ma.MaskedArray[_AnyShape, np.dtype[_ScalarT]] + +MAR_1d_f8: np.ma.MaskedArray[tuple[int], np.dtype[np.float64]] +MAR_b: MaskedArray[np.bool] +MAR_c: MaskedArray[np.complex128] +MAR_td64: MaskedArray[np.timedelta64] + +AR_b: npt.NDArray[np.bool] + +MAR_1d_f8.shape = (3, 1) # type: ignore[assignment] +MAR_1d_f8.dtype = np.bool # type: ignore[assignment] + +def invalid_recordmask_setter() -> None: + # We make an inner function for this one to avoid the + # `NoReturn` causing an early exit for type checkers. + MAR_1d_f8.recordmask = [True] # type: ignore[assignment] + +np.ma.min(MAR_1d_f8, axis=1.0) # type: ignore[call-overload] +np.ma.min(MAR_1d_f8, keepdims=1.0) # type: ignore[call-overload] +np.ma.min(MAR_1d_f8, out=1.0) # type: ignore[call-overload] +np.ma.min(MAR_1d_f8, fill_value=lambda x: 27) # type: ignore[call-overload] + +MAR_1d_f8.min(axis=1.0) # type: ignore[call-overload] +MAR_1d_f8.min(keepdims=1.0) # type: ignore[call-overload] +MAR_1d_f8.min(out=1.0) # type: ignore[call-overload] +MAR_1d_f8.min(fill_value=lambda x: 27) # type: ignore[call-overload] + +np.ma.max(MAR_1d_f8, axis=1.0) # type: ignore[call-overload] +np.ma.max(MAR_1d_f8, keepdims=1.0) # type: ignore[call-overload] +np.ma.max(MAR_1d_f8, out=1.0) # type: ignore[call-overload] +np.ma.max(MAR_1d_f8, fill_value=lambda x: 27) # type: ignore[call-overload] + +MAR_1d_f8.max(axis=1.0) # type: ignore[call-overload] +MAR_1d_f8.max(keepdims=1.0) # type: ignore[call-overload] +MAR_1d_f8.max(out=1.0) # type: ignore[call-overload] +MAR_1d_f8.max(fill_value=lambda x: 27) # type: ignore[call-overload] + +np.ma.ptp(MAR_1d_f8, axis=1.0) # type: ignore[call-overload] +np.ma.ptp(MAR_1d_f8, keepdims=1.0) # type: ignore[call-overload] +np.ma.ptp(MAR_1d_f8, out=1.0) # type: ignore[call-overload] +np.ma.ptp(MAR_1d_f8, fill_value=lambda x: 27) # type: ignore[call-overload] + +MAR_1d_f8.ptp(axis=1.0) # type: ignore[call-overload] +MAR_1d_f8.ptp(keepdims=1.0) # type: ignore[call-overload] +MAR_1d_f8.ptp(out=1.0) # type: ignore[call-overload] +MAR_1d_f8.ptp(fill_value=lambda x: 27) # type: ignore[call-overload] + +MAR_1d_f8.argmin(axis=1.0) # type: ignore[call-overload] +MAR_1d_f8.argmin(keepdims=1.0) # type: ignore[call-overload] +MAR_1d_f8.argmin(out=1.0) # type: ignore[call-overload] +MAR_1d_f8.argmin(fill_value=lambda x: 27) # type: ignore[call-overload] + +np.ma.argmin(MAR_1d_f8, axis=1.0) # type: ignore[call-overload] +np.ma.argmin(MAR_1d_f8, axis=(1,)) # type: ignore[call-overload] +np.ma.argmin(MAR_1d_f8, keepdims=1.0) # type: ignore[call-overload] +np.ma.argmin(MAR_1d_f8, out=1.0) # type: ignore[call-overload] +np.ma.argmin(MAR_1d_f8, fill_value=lambda x: 27) # type: ignore[call-overload] + +MAR_1d_f8.argmax(axis=1.0) # type: ignore[call-overload] +MAR_1d_f8.argmax(keepdims=1.0) # type: ignore[call-overload] +MAR_1d_f8.argmax(out=1.0) # type: ignore[call-overload] +MAR_1d_f8.argmax(fill_value=lambda x: 27) # type: ignore[call-overload] + +np.ma.argmax(MAR_1d_f8, axis=1.0) # type: ignore[call-overload] +np.ma.argmax(MAR_1d_f8, axis=(0,)) # type: ignore[call-overload] +np.ma.argmax(MAR_1d_f8, keepdims=1.0) # type: ignore[call-overload] +np.ma.argmax(MAR_1d_f8, out=1.0) # type: ignore[call-overload] +np.ma.argmax(MAR_1d_f8, fill_value=lambda x: 27) # type: ignore[call-overload] + +MAR_1d_f8.all(axis=1.0) # type: ignore[call-overload] +MAR_1d_f8.all(keepdims=1.0) # type: ignore[call-overload] +MAR_1d_f8.all(out=1.0) # type: ignore[call-overload] + +MAR_1d_f8.any(axis=1.0) # type: ignore[call-overload] +MAR_1d_f8.any(keepdims=1.0) # type: ignore[call-overload] +MAR_1d_f8.any(out=1.0) # type: ignore[call-overload] + +MAR_1d_f8.sort(axis=(0, 1)) # type: ignore[arg-type] +MAR_1d_f8.sort(axis=None) # type: ignore[arg-type] +MAR_1d_f8.sort(kind="cabbage") # type: ignore[arg-type] +MAR_1d_f8.sort(order=lambda: "cabbage") # type: ignore[arg-type] +MAR_1d_f8.sort(endwith="cabbage") # type: ignore[arg-type] +MAR_1d_f8.sort(fill_value=lambda: "cabbage") # type: ignore[arg-type] +MAR_1d_f8.sort(stable="cabbage") # type: ignore[arg-type] +MAR_1d_f8.sort(stable=True) # type: ignore[arg-type] + +MAR_1d_f8.take(axis=1.0) # type: ignore[call-overload] +MAR_1d_f8.take(out=1) # type: ignore[call-overload] +MAR_1d_f8.take(mode="bob") # type: ignore[call-overload] + +np.ma.take(None) # type: ignore[call-overload] +np.ma.take(axis=1.0) # type: ignore[call-overload] +np.ma.take(out=1) # type: ignore[call-overload] +np.ma.take(mode="bob") # type: ignore[call-overload] + +MAR_1d_f8.partition(["cabbage"]) # type: ignore[arg-type] +MAR_1d_f8.partition(axis=(0, 1)) # type: ignore[arg-type, call-arg] +MAR_1d_f8.partition(kind="cabbage") # type: ignore[arg-type, call-arg] +MAR_1d_f8.partition(order=lambda: "cabbage") # type: ignore[arg-type, call-arg] +MAR_1d_f8.partition(AR_b) # type: ignore[arg-type] + +MAR_1d_f8.argpartition(["cabbage"]) # type: ignore[arg-type] +MAR_1d_f8.argpartition(axis=(0, 1)) # type: ignore[arg-type, call-arg] +MAR_1d_f8.argpartition(kind="cabbage") # type: ignore[arg-type, call-arg] +MAR_1d_f8.argpartition(order=lambda: "cabbage") # type: ignore[arg-type, call-arg] +MAR_1d_f8.argpartition(AR_b) # type: ignore[arg-type] + +np.ma.ndim(lambda: "lambda") # type: ignore[arg-type] + +np.ma.size(AR_b, axis="0") # type: ignore[arg-type] + +MAR_1d_f8 >= (lambda x: "mango") # type: ignore[operator] +MAR_1d_f8 > (lambda x: "mango") # type: ignore[operator] +MAR_1d_f8 <= (lambda x: "mango") # type: ignore[operator] +MAR_1d_f8 < (lambda x: "mango") # type: ignore[operator] + +MAR_1d_f8.count(axis=0.) # type: ignore[call-overload] + +np.ma.count(MAR_1d_f8, axis=0.) # type: ignore[call-overload] + +MAR_1d_f8.put(4, 999, mode="flip") # type: ignore[arg-type] + +np.ma.put(MAR_1d_f8, 4, 999, mode="flip") # type: ignore[arg-type] + +np.ma.put([1, 1, 3], 0, 999) # type: ignore[arg-type] + +np.ma.compressed(lambda: "compress me") # type: ignore[call-overload] + +np.ma.allequal(MAR_1d_f8, [1, 2, 3], fill_value=1.5) # type: ignore[arg-type] + +np.ma.allclose(MAR_1d_f8, [1, 2, 3], masked_equal=4.5) # type: ignore[arg-type] +np.ma.allclose(MAR_1d_f8, [1, 2, 3], rtol=".4") # type: ignore[arg-type] +np.ma.allclose(MAR_1d_f8, [1, 2, 3], atol=".5") # type: ignore[arg-type] + +MAR_1d_f8.__setmask__("mask") # type: ignore[arg-type] + +MAR_b *= 2 # type: ignore[arg-type] +MAR_c //= 2 # type: ignore[misc] +MAR_td64 **= 2 # type: ignore[misc] + +MAR_1d_f8.swapaxes(axis1=1, axis2=0) # type: ignore[call-arg] + +MAR_1d_f8.argsort(axis=(1, 0)) # type: ignore[arg-type] + +np.ma.MaskedArray(np.array([1, 2, 3]), keep_mask="yes") # type: ignore[call-overload] +np.ma.MaskedArray(np.array([1, 2, 3]), subok=None) # type: ignore[call-overload] +np.ma.MaskedArray(np.array([1, 2, 3]), ndim=None) # type: ignore[call-overload] +np.ma.MaskedArray(np.array([1, 2, 3]), order="Corinthian") # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/memmap.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/memmap.pyi new file mode 100644 index 0000000000000000000000000000000000000000..3a4fc7df068961736ee8cf05412d5bcea5ad547a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/memmap.pyi @@ -0,0 +1,5 @@ +import numpy as np + +with open("file.txt", "r") as f: + np.memmap(f) # type: ignore[call-overload] +np.memmap("test.txt", shape=[10, 5]) # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/modules.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/modules.pyi new file mode 100644 index 0000000000000000000000000000000000000000..c12a182807d395fd9d8c94882b826c23de703932 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/modules.pyi @@ -0,0 +1,17 @@ +import numpy as np + +np.testing.bob # type: ignore[attr-defined] +np.bob # type: ignore[attr-defined] + +# Stdlib modules in the namespace by accident +np.warnings # type: ignore[attr-defined] +np.sys # type: ignore[attr-defined] +np.os # type: ignore[attr-defined] +np.math # type: ignore[attr-defined] + +# Public sub-modules that are not imported to their parent module by default; +# e.g. one must first execute `import numpy.lib.recfunctions` +np.lib.recfunctions # type: ignore[attr-defined] + +np.__deprecated_attrs__ # type: ignore[attr-defined] +np.__expired_functions__ # type: ignore[attr-defined] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/multiarray.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/multiarray.pyi new file mode 100644 index 0000000000000000000000000000000000000000..51128dfbf6f785a96931cb8ee5d4df6a7574802d --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/multiarray.pyi @@ -0,0 +1,52 @@ +import numpy as np +import numpy.typing as npt + +i8: np.int64 + +AR_b: npt.NDArray[np.bool] +AR_u1: npt.NDArray[np.uint8] +AR_i8: npt.NDArray[np.int64] +AR_f8: npt.NDArray[np.float64] +AR_M: npt.NDArray[np.datetime64] + +M: np.datetime64 + +AR_LIKE_f: list[float] + +def func(a: int) -> None: ... + +np.where(AR_b, 1) # type: ignore[call-overload] + +np.can_cast(AR_f8, 1) # type: ignore[arg-type] + +np.vdot(AR_M, AR_M) # type: ignore[arg-type] + +np.copyto(AR_LIKE_f, AR_f8) # type: ignore[arg-type] + +np.putmask(AR_LIKE_f, [True, True, False], 1.5) # type: ignore[arg-type] + +np.packbits(AR_f8) # type: ignore[arg-type] +np.packbits(AR_u1, bitorder=">") # type: ignore[call-overload] + +np.unpackbits(AR_i8) # type: ignore[arg-type] +np.unpackbits(AR_u1, bitorder=">") # type: ignore[call-overload] + +np.shares_memory(1, 1, max_work=i8) # type: ignore[arg-type] +np.may_share_memory(1, 1, max_work=i8) # type: ignore[arg-type] + +np.arange(stop=10) # type: ignore[call-overload] + +np.datetime_data(int) # type: ignore[arg-type] + +np.busday_offset("2012", 10) # type: ignore[call-overload] + +np.datetime_as_string("2012") # type: ignore[call-overload] + +np.char.compare_chararrays("a", b"a", "==", False) # type: ignore[call-overload] + +np.nested_iters([AR_i8, AR_i8]) # type: ignore[call-arg] +np.nested_iters([AR_i8, AR_i8], 0) # type: ignore[arg-type] +np.nested_iters([AR_i8, AR_i8], [0]) # type: ignore[list-item] +np.nested_iters([AR_i8, AR_i8], [[0], [1]], flags=["test"]) # type: ignore[list-item] +np.nested_iters([AR_i8, AR_i8], [[0], [1]], op_flags=[["test"]]) # type: ignore[list-item] +np.nested_iters([AR_i8, AR_i8], [[0], [1]], buffersize=1.0) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ndarray.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ndarray.pyi new file mode 100644 index 0000000000000000000000000000000000000000..2aeec0883e3ff1463c36d64ec233af91d83220bc --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ndarray.pyi @@ -0,0 +1,11 @@ +import numpy as np + +# Ban setting dtype since mutating the type of the array in place +# makes having ndarray be generic over dtype impossible. Generally +# users should use `ndarray.view` in this situation anyway. See +# +# https://github.com/numpy/numpy-stubs/issues/7 +# +# for more context. +float_array = np.array([1.0]) +float_array.dtype = np.bool # type: ignore[assignment, misc] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ndarray_misc.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ndarray_misc.pyi new file mode 100644 index 0000000000000000000000000000000000000000..29418930061c3753882b36457d9491ea130cd25c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ndarray_misc.pyi @@ -0,0 +1,49 @@ +""" +Tests for miscellaneous (non-magic) ``np.ndarray``/``np.generic`` methods. + +More extensive tests are performed for the methods' +function-based counterpart in `../from_numeric.py`. + +""" +from typing import Never + +import numpy as np +import numpy.typing as npt + +f8: np.float64 +AR_f8: npt.NDArray[np.float64] +AR_M: npt.NDArray[np.datetime64] +AR_b: npt.NDArray[np.bool] + +ctypes_obj = AR_f8.ctypes + +f8.argpartition(0) # type: ignore[attr-defined] +f8.partition(0) # type: ignore[attr-defined] +f8.dot(1) # type: ignore[attr-defined] + +# NOTE: The following functions retur `Never`, causing mypy to stop analysis at that +# point, which we circumvent by wrapping them in a function. + +def f8_diagonal(x: np.float64) -> Never: + return x.diagonal() # type: ignore[misc] + +def f8_nonzero(x: np.float64) -> Never: + return x.nonzero() # type: ignore[misc] + +def f8_setfield(x: np.float64) -> Never: + return x.setfield(2, np.float64) # type: ignore[misc] + +def f8_sort(x: np.float64) -> Never: + return x.sort() # type: ignore[misc] + +def f8_trace(x: np.float64) -> Never: + return x.trace() # type: ignore[misc] + +AR_M.__complex__() # type: ignore[misc] +AR_b.__index__() # type: ignore[misc] + +AR_f8[1.5] # type: ignore[call-overload] +AR_f8["field_a"] # type: ignore[call-overload] +AR_f8[["field_a", "field_b"]] # type: ignore[index] + +AR_f8.__array_finalize__(object()) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/nditer.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/nditer.pyi new file mode 100644 index 0000000000000000000000000000000000000000..fae728da454e76a5459012fd6af66345ffaa5422 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/nditer.pyi @@ -0,0 +1,8 @@ +import numpy as np + +class Test(np.nditer): ... # type: ignore[misc] + +np.nditer([0, 1], flags=["test"]) # type: ignore[list-item] +np.nditer([0, 1], op_flags=[["test"]]) # type: ignore[list-item] +np.nditer([0, 1], itershape=(1.0,)) # type: ignore[arg-type] +np.nditer([0, 1], buffersize=1.0) # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/nested_sequence.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/nested_sequence.pyi new file mode 100644 index 0000000000000000000000000000000000000000..1004a36accc7958835c2bb8fa2dae9d8e0135016 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/nested_sequence.pyi @@ -0,0 +1,17 @@ +from collections.abc import Sequence + +from numpy._typing import _NestedSequence + +a: Sequence[float] +b: list[complex] +c: tuple[str, ...] +d: int +e: str + +def func(a: _NestedSequence[int]) -> None: ... + +reveal_type(func(a)) # type: ignore[arg-type, misc] +reveal_type(func(b)) # type: ignore[arg-type, misc] +reveal_type(func(c)) # type: ignore[arg-type, misc] +reveal_type(func(d)) # type: ignore[arg-type, misc] +reveal_type(func(e)) # type: ignore[arg-type, misc] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/npyio.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/npyio.pyi new file mode 100644 index 0000000000000000000000000000000000000000..e20be3a2a2470ae8d233bb5a099c0336236c9ec1 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/npyio.pyi @@ -0,0 +1,24 @@ +import pathlib +from typing import IO + +import numpy as np +import numpy.typing as npt + +str_path: str +bytes_path: bytes +pathlib_path: pathlib.Path +str_file: IO[str] +AR_i8: npt.NDArray[np.int64] + +np.load(str_file) # type: ignore[arg-type] + +np.save(bytes_path, AR_i8) # type: ignore[arg-type] +np.save(str_path, AR_i8, fix_imports=True) # type: ignore[call-arg] + +np.savez(bytes_path, AR_i8) # type: ignore[arg-type] + +np.savez_compressed(bytes_path, AR_i8) # type: ignore[arg-type] + +np.loadtxt(bytes_path) # type: ignore[arg-type] + +np.fromregex(bytes_path, ".", np.int64) # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/numerictypes.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/numerictypes.pyi new file mode 100644 index 0000000000000000000000000000000000000000..a1fd47a6f479039639bf188399c8cd001f45d6c0 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/numerictypes.pyi @@ -0,0 +1,5 @@ +import numpy as np + +np.isdtype(1, np.int64) # type: ignore[arg-type] + +np.issubdtype(1, np.int64) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/random.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/random.pyi new file mode 100644 index 0000000000000000000000000000000000000000..1abf4b77653c5f49fa095e0785949aef16a34ced --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/random.pyi @@ -0,0 +1,62 @@ +import numpy as np +import numpy.typing as npt + +SEED_FLOAT: float = 457.3 +SEED_ARR_FLOAT: npt.NDArray[np.float64] = np.array([1.0, 2, 3, 4]) +SEED_ARRLIKE_FLOAT: list[float] = [1.0, 2.0, 3.0, 4.0] +SEED_SEED_SEQ: np.random.SeedSequence = np.random.SeedSequence(0) +SEED_STR: str = "String seeding not allowed" + +# default rng +np.random.default_rng(SEED_FLOAT) # type: ignore[arg-type] +np.random.default_rng(SEED_ARR_FLOAT) # type: ignore[arg-type] +np.random.default_rng(SEED_ARRLIKE_FLOAT) # type: ignore[arg-type] +np.random.default_rng(SEED_STR) # type: ignore[arg-type] + +# Seed Sequence +np.random.SeedSequence(SEED_FLOAT) # type: ignore[arg-type] +np.random.SeedSequence(SEED_ARR_FLOAT) # type: ignore[arg-type] +np.random.SeedSequence(SEED_ARRLIKE_FLOAT) # type: ignore[arg-type] +np.random.SeedSequence(SEED_SEED_SEQ) # type: ignore[arg-type] +np.random.SeedSequence(SEED_STR) # type: ignore[arg-type] + +seed_seq: np.random.bit_generator.SeedSequence = np.random.SeedSequence() +seed_seq.spawn(11.5) # type: ignore[arg-type] +seed_seq.generate_state(3.14) # type: ignore[arg-type] +seed_seq.generate_state(3, np.uint8) # type: ignore[arg-type] +seed_seq.generate_state(3, "uint8") # type: ignore[arg-type] +seed_seq.generate_state(3, "u1") # type: ignore[arg-type] +seed_seq.generate_state(3, np.uint16) # type: ignore[arg-type] +seed_seq.generate_state(3, "uint16") # type: ignore[arg-type] +seed_seq.generate_state(3, "u2") # type: ignore[arg-type] +seed_seq.generate_state(3, np.int32) # type: ignore[arg-type] +seed_seq.generate_state(3, "int32") # type: ignore[arg-type] +seed_seq.generate_state(3, "i4") # type: ignore[arg-type] + +# Bit Generators +np.random.MT19937(SEED_FLOAT) # type: ignore[arg-type] +np.random.MT19937(SEED_ARR_FLOAT) # type: ignore[arg-type] +np.random.MT19937(SEED_ARRLIKE_FLOAT) # type: ignore[arg-type] +np.random.MT19937(SEED_STR) # type: ignore[arg-type] + +np.random.PCG64(SEED_FLOAT) # type: ignore[arg-type] +np.random.PCG64(SEED_ARR_FLOAT) # type: ignore[arg-type] +np.random.PCG64(SEED_ARRLIKE_FLOAT) # type: ignore[arg-type] +np.random.PCG64(SEED_STR) # type: ignore[arg-type] + +np.random.Philox(SEED_FLOAT) # type: ignore[arg-type] +np.random.Philox(SEED_ARR_FLOAT) # type: ignore[arg-type] +np.random.Philox(SEED_ARRLIKE_FLOAT) # type: ignore[arg-type] +np.random.Philox(SEED_STR) # type: ignore[arg-type] + +np.random.SFC64(SEED_FLOAT) # type: ignore[arg-type] +np.random.SFC64(SEED_ARR_FLOAT) # type: ignore[arg-type] +np.random.SFC64(SEED_ARRLIKE_FLOAT) # type: ignore[arg-type] +np.random.SFC64(SEED_STR) # type: ignore[arg-type] + +# Generator +np.random.Generator(None) # type: ignore[arg-type] +np.random.Generator(12333283902830213) # type: ignore[arg-type] +np.random.Generator("OxFEEDF00D") # type: ignore[arg-type] +np.random.Generator([123, 234]) # type: ignore[arg-type] +np.random.Generator(np.array([123, 234], dtype="u4")) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/rec.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/rec.pyi new file mode 100644 index 0000000000000000000000000000000000000000..c9d43dd2ff1fc48cfb99630d27481de929100077 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/rec.pyi @@ -0,0 +1,17 @@ +import numpy as np +import numpy.typing as npt + +AR_i8: npt.NDArray[np.int64] + +np.rec.fromarrays(1) # type: ignore[call-overload] +np.rec.fromarrays([1, 2, 3], dtype=[("f8", "f8")], formats=["f8", "f8"]) # type: ignore[call-overload] + +np.rec.fromrecords(AR_i8) # type: ignore[arg-type] +np.rec.fromrecords([(1.5,)], dtype=[("f8", "f8")], formats=["f8", "f8"]) # type: ignore[call-overload] + +np.rec.fromstring("string", dtype=[("f8", "f8")]) # type: ignore[call-overload] +np.rec.fromstring(b"bytes") # type: ignore[call-overload] +np.rec.fromstring(b"(1.5,)", dtype=[("f8", "f8")], formats=["f8", "f8"]) # type: ignore[call-overload] + +with open("test", "r") as f: + np.rec.fromfile(f, dtype=[("f8", "f8")]) # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/scalars.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/scalars.pyi new file mode 100644 index 0000000000000000000000000000000000000000..018a88e652ae7c5d39119fa18fbe525b9556d373 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/scalars.pyi @@ -0,0 +1,86 @@ +import numpy as np + +f2: np.float16 +f8: np.float64 +c8: np.complex64 + +# Construction + +np.float32(3j) # type: ignore[arg-type] + +# Technically the following examples are valid NumPy code. But they +# are not considered a best practice, and people who wish to use the +# stubs should instead do +# +# np.array([1.0, 0.0, 0.0], dtype=np.float32) +# np.array([], dtype=np.complex64) +# +# See e.g. the discussion on the mailing list +# +# https://mail.python.org/pipermail/numpy-discussion/2020-April/080566.html +# +# and the issue +# +# https://github.com/numpy/numpy-stubs/issues/41 +# +# for more context. +np.float32([1.0, 0.0, 0.0]) # type: ignore[arg-type] +np.complex64([]) # type: ignore[call-overload] + +# TODO: protocols (can't check for non-existent protocols w/ __getattr__) + +np.datetime64(0) # type: ignore[call-overload] + +class A: + def __float__(self) -> float: ... + +np.int8(A()) # type: ignore[arg-type] +np.int16(A()) # type: ignore[arg-type] +np.int32(A()) # type: ignore[arg-type] +np.int64(A()) # type: ignore[arg-type] +np.uint8(A()) # type: ignore[arg-type] +np.uint16(A()) # type: ignore[arg-type] +np.uint32(A()) # type: ignore[arg-type] +np.uint64(A()) # type: ignore[arg-type] + +np.void("test") # type: ignore[call-overload] +np.void("test", dtype=None) # type: ignore[call-overload] + +np.generic(1) # type: ignore[abstract] +np.number(1) # type: ignore[abstract] +np.integer(1) # type: ignore[abstract] +np.inexact(1) # type: ignore[abstract] +np.character("test") # type: ignore[abstract] +np.flexible(b"test") # type: ignore[abstract] + +np.float64(value=0.0) # type: ignore[call-arg] +np.int64(value=0) # type: ignore[call-arg] +np.uint64(value=0) # type: ignore[call-arg] +np.complex128(value=0.0j) # type: ignore[call-overload] +np.str_(value="bob") # type: ignore[call-overload] +np.bytes_(value=b"test") # type: ignore[call-overload] +np.void(value=b"test") # type: ignore[call-overload] +np.bool(value=True) # type: ignore[call-overload] +np.datetime64(value="2019") # type: ignore[call-overload] +np.timedelta64(value=0) # type: ignore[call-overload] + +np.bytes_(b"hello", encoding="utf-8") # type: ignore[call-overload] +np.str_("hello", encoding="utf-8") # type: ignore[call-overload] + +f8.item(1) # type: ignore[call-overload] +f8.item((0, 1)) # type: ignore[arg-type] +f8.squeeze(axis=1) # type: ignore[arg-type] +f8.squeeze(axis=(0, 1)) # type: ignore[arg-type] +f8.transpose(1) # type: ignore[arg-type] + +def func(a: np.float32) -> None: ... + +func(f2) # type: ignore[arg-type] +func(f8) # type: ignore[arg-type] + +c8.__getnewargs__() # type: ignore[attr-defined] +f2.__getnewargs__() # type: ignore[attr-defined] +f2.hex() # type: ignore[attr-defined] +np.float16.fromhex("0x0.0p+0") # type: ignore[attr-defined] +f2.__trunc__() # type: ignore[attr-defined] +f2.__getformat__("float") # type: ignore[attr-defined] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/shape.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/shape.pyi new file mode 100644 index 0000000000000000000000000000000000000000..a024d7bda27367395ebf028b65a75b0b0bbfd7b6 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/shape.pyi @@ -0,0 +1,7 @@ +from typing import Any + +import numpy as np + +# test bounds of _ShapeT_co + +np.ndarray[tuple[str, str], Any] # type: ignore[type-var] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/shape_base.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/shape_base.pyi new file mode 100644 index 0000000000000000000000000000000000000000..652b24ba311e35411fd0fc11f3e79c5d90a6dac4 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/shape_base.pyi @@ -0,0 +1,8 @@ +import numpy as np + +class DTypeLike: + dtype: np.dtype[np.int_] + +dtype_like: DTypeLike + +np.expand_dims(dtype_like, (5, 10)) # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/stride_tricks.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/stride_tricks.pyi new file mode 100644 index 0000000000000000000000000000000000000000..7f9a26b9692438eef717972fcc0024d2ab4dbcb9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/stride_tricks.pyi @@ -0,0 +1,9 @@ +import numpy as np +import numpy.typing as npt + +AR_f8: npt.NDArray[np.float64] + +np.lib.stride_tricks.as_strided(AR_f8, shape=8) # type: ignore[call-overload] +np.lib.stride_tricks.as_strided(AR_f8, strides=8) # type: ignore[call-overload] + +np.lib.stride_tricks.sliding_window_view(AR_f8, axis=(1,)) # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/strings.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/strings.pyi new file mode 100644 index 0000000000000000000000000000000000000000..328a521ae67957086e9d490975634cda448e5497 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/strings.pyi @@ -0,0 +1,52 @@ +import numpy as np +import numpy.typing as npt + +AR_U: npt.NDArray[np.str_] +AR_S: npt.NDArray[np.bytes_] + +np.strings.equal(AR_U, AR_S) # type: ignore[arg-type] +np.strings.not_equal(AR_U, AR_S) # type: ignore[arg-type] + +np.strings.greater_equal(AR_U, AR_S) # type: ignore[arg-type] +np.strings.less_equal(AR_U, AR_S) # type: ignore[arg-type] +np.strings.greater(AR_U, AR_S) # type: ignore[arg-type] +np.strings.less(AR_U, AR_S) # type: ignore[arg-type] + +np.strings.encode(AR_S) # type: ignore[arg-type] +np.strings.decode(AR_U) # type: ignore[arg-type] + +np.strings.lstrip(AR_U, b"a") # type: ignore[arg-type] +np.strings.lstrip(AR_S, "a") # type: ignore[arg-type] +np.strings.strip(AR_U, b"a") # type: ignore[arg-type] +np.strings.strip(AR_S, "a") # type: ignore[arg-type] +np.strings.rstrip(AR_U, b"a") # type: ignore[arg-type] +np.strings.rstrip(AR_S, "a") # type: ignore[arg-type] + +np.strings.partition(AR_U, b"a") # type: ignore[arg-type] +np.strings.partition(AR_S, "a") # type: ignore[arg-type] +np.strings.rpartition(AR_U, b"a") # type: ignore[arg-type] +np.strings.rpartition(AR_S, "a") # type: ignore[arg-type] + +np.strings.count(AR_U, b"a", [1, 2, 3], [1, 2, 3]) # type: ignore[arg-type] +np.strings.count(AR_S, "a", 0, 9) # type: ignore[arg-type] + +np.strings.endswith(AR_U, b"a", [1, 2, 3], [1, 2, 3]) # type: ignore[arg-type] +np.strings.endswith(AR_S, "a", 0, 9) # type: ignore[arg-type] +np.strings.startswith(AR_U, b"a", [1, 2, 3], [1, 2, 3]) # type: ignore[arg-type] +np.strings.startswith(AR_S, "a", 0, 9) # type: ignore[arg-type] + +np.strings.find(AR_U, b"a", [1, 2, 3], [1, 2, 3]) # type: ignore[arg-type] +np.strings.find(AR_S, "a", 0, 9) # type: ignore[arg-type] +np.strings.rfind(AR_U, b"a", [1, 2, 3], [1, 2, 3]) # type: ignore[arg-type] +np.strings.rfind(AR_S, "a", 0, 9) # type: ignore[arg-type] + +np.strings.index(AR_U, b"a", start=[1, 2, 3]) # type: ignore[arg-type] +np.strings.index(AR_S, "a", end=9) # type: ignore[arg-type] +np.strings.rindex(AR_U, b"a", start=[1, 2, 3]) # type: ignore[arg-type] +np.strings.rindex(AR_S, "a", end=9) # type: ignore[arg-type] + +np.strings.isdecimal(AR_S) # type: ignore[arg-type] +np.strings.isnumeric(AR_S) # type: ignore[arg-type] + +np.strings.replace(AR_U, b"_", b"-", 10) # type: ignore[arg-type] +np.strings.replace(AR_S, "_", "-", 1) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/testing.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/testing.pyi new file mode 100644 index 0000000000000000000000000000000000000000..517062c4c95261dbde10cf52e299ffc1d0cdd8b3 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/testing.pyi @@ -0,0 +1,28 @@ +import numpy as np +import numpy.typing as npt + +AR_U: npt.NDArray[np.str_] + +def func(x: object) -> bool: ... + +np.testing.assert_(True, msg=1) # type: ignore[arg-type] +np.testing.build_err_msg(1, "test") # type: ignore[arg-type] +np.testing.assert_almost_equal(AR_U, AR_U) # type: ignore[arg-type] +np.testing.assert_approx_equal([1, 2, 3], [1, 2, 3]) # type: ignore[arg-type] +np.testing.assert_array_almost_equal(AR_U, AR_U) # type: ignore[arg-type] +np.testing.assert_array_less(AR_U, AR_U) # type: ignore[arg-type] +np.testing.assert_string_equal(b"a", b"a") # type: ignore[arg-type] + +np.testing.assert_raises(expected_exception=TypeError, callable=func) # type: ignore[call-overload] +np.testing.assert_raises_regex(expected_exception=TypeError, expected_regex="T", callable=func) # type: ignore[call-overload] + +np.testing.assert_allclose(AR_U, AR_U) # type: ignore[arg-type] +np.testing.assert_array_almost_equal_nulp(AR_U, AR_U) # type: ignore[arg-type] +np.testing.assert_array_max_ulp(AR_U, AR_U) # type: ignore[arg-type] + +np.testing.assert_warns(RuntimeWarning, func) # type: ignore[call-overload] +np.testing.assert_no_warnings(func=func) # type: ignore[call-overload] +np.testing.assert_no_warnings(func) # type: ignore[call-overload] +np.testing.assert_no_warnings(func, y=None) # type: ignore[call-overload] + +np.testing.assert_no_gc_cycles(func=func) # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/twodim_base.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/twodim_base.pyi new file mode 100644 index 0000000000000000000000000000000000000000..473419cecef1bd101d5e98db0fe52ddf06403f10 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/twodim_base.pyi @@ -0,0 +1,39 @@ +from typing import type_check_only + +import numpy as np +import numpy.typing as npt + +_0d_bool: np.bool +_nd_bool: npt.NDArray[np.bool] +_nd_td64: npt.NDArray[np.timedelta64] +_to_2d_bool: list[list[bool]] + +@type_check_only +def func1(ar: np.ndarray, a: int) -> npt.NDArray[np.str_]: ... +@type_check_only +def func2(ar: np.ndarray, a: float) -> float: ... + +### + +np.eye(10, M=20.0) # type: ignore[call-overload] +np.eye(10, k=2.5, dtype=int) # type: ignore[call-overload] + +np.diag(_nd_bool, k=0.5) # type: ignore[call-overload] +np.diagflat(_nd_bool, k=0.5) # type: ignore[call-overload] + +np.tri(10, M=20.0) # type: ignore[call-overload] +np.tri(10, k=2.5, dtype=int) # type: ignore[call-overload] + +np.tril(_nd_bool, k=0.5) # type: ignore[call-overload] +np.triu(_nd_bool, k=0.5) # type: ignore[call-overload] + +np.vander(_nd_td64) # type: ignore[type-var] + +np.histogram2d(_nd_td64) # type: ignore[call-overload] + +np.mask_indices(10, func1) # type: ignore[arg-type] +np.mask_indices(10, func2, 10.5) # type: ignore[arg-type] + +np.tril_indices(3.14) # type: ignore[arg-type] + +np.tril_indices_from(_to_2d_bool) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/type_check.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/type_check.pyi new file mode 100644 index 0000000000000000000000000000000000000000..8b68e996304ccda7359b1a9756865eca754aa27a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/type_check.pyi @@ -0,0 +1,12 @@ +import numpy as np + +DTYPE_i8: np.dtype[np.int64] + +np.mintypecode(DTYPE_i8) # type: ignore[arg-type] +np.iscomplexobj(DTYPE_i8) # type: ignore[arg-type] +np.isrealobj(DTYPE_i8) # type: ignore[arg-type] + +np.typename(DTYPE_i8) # type: ignore[call-overload] +np.typename("invalid") # type: ignore[call-overload] + +np.common_type(np.timedelta64()) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ufunc_config.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ufunc_config.pyi new file mode 100644 index 0000000000000000000000000000000000000000..c67b6a3acf989cda443dc1b82826cd9086202190 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ufunc_config.pyi @@ -0,0 +1,21 @@ +"""Typing tests for `numpy._core._ufunc_config`.""" + +import numpy as np + +def func1(a: str, b: int, c: float) -> None: ... +def func2(a: str, *, b: int) -> None: ... + +class Write1: + def write1(self, a: str) -> None: ... + +class Write2: + def write(self, a: str, b: str) -> None: ... + +class Write3: + def write(self, *, a: str) -> None: ... + +np.seterrcall(func1) # type: ignore[arg-type] +np.seterrcall(func2) # type: ignore[arg-type] +np.seterrcall(Write1()) # type: ignore[arg-type] +np.seterrcall(Write2()) # type: ignore[arg-type] +np.seterrcall(Write3()) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ufunclike.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ufunclike.pyi new file mode 100644 index 0000000000000000000000000000000000000000..e556e409ebbc90f1e57c096d53f656850c041b0f --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ufunclike.pyi @@ -0,0 +1,21 @@ +import numpy as np +import numpy.typing as npt + +AR_c: npt.NDArray[np.complex128] +AR_m: npt.NDArray[np.timedelta64] +AR_M: npt.NDArray[np.datetime64] +AR_O: npt.NDArray[np.object_] + +np.fix(AR_c) # type: ignore[arg-type] +np.fix(AR_m) # type: ignore[arg-type] +np.fix(AR_M) # type: ignore[arg-type] + +np.isposinf(AR_c) # type: ignore[arg-type] +np.isposinf(AR_m) # type: ignore[arg-type] +np.isposinf(AR_M) # type: ignore[arg-type] +np.isposinf(AR_O) # type: ignore[arg-type] + +np.isneginf(AR_c) # type: ignore[arg-type] +np.isneginf(AR_m) # type: ignore[arg-type] +np.isneginf(AR_M) # type: ignore[arg-type] +np.isneginf(AR_O) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ufuncs.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ufuncs.pyi new file mode 100644 index 0000000000000000000000000000000000000000..1b1628d7da4431c5fc30c051a413052cbe6969ac --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/ufuncs.pyi @@ -0,0 +1,17 @@ +import numpy as np +import numpy.typing as npt + +AR_f8: npt.NDArray[np.float64] + +np.sin.nin + "foo" # type: ignore[operator] +np.sin(1, foo="bar") # type: ignore[call-overload] + +np.abs(None) # type: ignore[call-overload] + +np.add(1, 1, 1) # type: ignore[call-overload] +np.add(1, 1, axis=0) # type: ignore[call-overload] + +np.matmul(AR_f8, AR_f8, where=True) # type: ignore[call-overload] + +np.frexp(AR_f8, out=None) # type: ignore[call-overload] +np.frexp(AR_f8, out=AR_f8) # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/warnings_and_errors.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/warnings_and_errors.pyi new file mode 100644 index 0000000000000000000000000000000000000000..8ba34f6dfa3ec31d2d363f88cd5a87e4b8ad69e8 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/fail/warnings_and_errors.pyi @@ -0,0 +1,5 @@ +import numpy.exceptions as ex + +ex.AxisError(1.0) # type: ignore[call-overload] +ex.AxisError(1, ndim=2.0) # type: ignore[call-overload] +ex.AxisError(2, msg_prefix=404) # type: ignore[call-overload] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/misc/extended_precision.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/misc/extended_precision.pyi new file mode 100644 index 0000000000000000000000000000000000000000..7978faf4d5bd1b1fba35fc84146ee42e25c8405a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/misc/extended_precision.pyi @@ -0,0 +1,9 @@ +from typing import assert_type + +import numpy as np +from numpy._typing import _96Bit, _128Bit + +assert_type(np.float96(), np.floating[_96Bit]) +assert_type(np.float128(), np.floating[_128Bit]) +assert_type(np.complex192(), np.complexfloating[_96Bit, _96Bit]) +assert_type(np.complex256(), np.complexfloating[_128Bit, _128Bit]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/mypy.ini b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/mypy.ini new file mode 100644 index 0000000000000000000000000000000000000000..4aa465ae087bc2be5013d282a979b9a48fb9a485 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/mypy.ini @@ -0,0 +1,8 @@ +[mypy] +strict = True +enable_error_code = deprecated, ignore-without-code, truthy-bool +disallow_any_unimported = True +allow_redefinition_new = True +local_partial_types = True +show_absolute_path = True +pretty = True diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/__pycache__/arithmetic.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/__pycache__/arithmetic.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..3a978ce71cf6f6188f7c2b8ba8d241a2db2761fc Binary files /dev/null and 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0000000000000000000000000000000000000000..e347ec096e2142cfa16c8a8d31ca63c87bd612e0 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/arithmetic.py @@ -0,0 +1,614 @@ +from __future__ import annotations + +from typing import Any, cast + +import pytest + +import numpy as np +import numpy.typing as npt + +c16 = np.complex128(1) +f8 = np.float64(1) +i8 = np.int64(1) +u8 = np.uint64(1) + +c8 = np.complex64(1) +f4 = np.float32(1) +i4 = np.int32(1) +u4 = np.uint32(1) + +dt = np.datetime64(1, "D") +td = np.timedelta64(1, "D") + +b_ = np.bool(1) + +b = bool(1) +c = complex(1) +f = float(1) +i = 1 + + +class Object: + def __array__(self, dtype: np.typing.DTypeLike | None = None, + copy: bool | None = None) -> np.ndarray[Any, np.dtype[np.object_]]: + ret = np.empty((), dtype=object) + ret[()] = self + return ret + + def __sub__(self, value: Any) -> Object: + return self + + def __rsub__(self, value: Any) -> Object: + return self + + def __floordiv__(self, value: Any) -> Object: + return self + + def __rfloordiv__(self, value: Any) -> Object: + return self + + def __mul__(self, value: Any) -> Object: + return self + + def __rmul__(self, value: Any) -> Object: + return self + + def __pow__(self, value: Any) -> Object: + return self + + def __rpow__(self, value: Any) -> Object: + return self + + +AR_b: npt.NDArray[np.bool] = np.array([True]) +AR_u: npt.NDArray[np.uint32] = np.array([1], dtype=np.uint32) +AR_i: npt.NDArray[np.int64] = np.array([1]) +AR_integer: npt.NDArray[np.integer] = cast(npt.NDArray[np.integer], AR_i) +AR_f: npt.NDArray[np.float64] = np.array([1.0]) +AR_c: npt.NDArray[np.complex128] = np.array([1j]) +AR_m: npt.NDArray[np.timedelta64] = np.array([np.timedelta64(1, "D")]) +AR_M: npt.NDArray[np.datetime64] = np.array([np.datetime64(1, "D")]) +AR_O: npt.NDArray[np.object_] = np.array([Object()]) + +AR_LIKE_b = [True] +AR_LIKE_u = [np.uint32(1)] +AR_LIKE_i = [1] +AR_LIKE_f = [1.0] +AR_LIKE_c = [1j] +AR_LIKE_m = [np.timedelta64(1, "D")] +AR_LIKE_M = [np.datetime64(1, "D")] +AR_LIKE_O = [Object()] + +# Array subtractions + +AR_b - AR_LIKE_u +AR_b - AR_LIKE_i +AR_b - AR_LIKE_f +AR_b - AR_LIKE_c +AR_b - AR_LIKE_m +AR_b - AR_LIKE_O + +AR_LIKE_u - AR_b +AR_LIKE_i - AR_b +AR_LIKE_f - AR_b +AR_LIKE_c - AR_b +AR_LIKE_m - AR_b +AR_LIKE_M - AR_b +AR_LIKE_O - AR_b + +AR_u - AR_LIKE_b +AR_u - AR_LIKE_u +AR_u - AR_LIKE_i +AR_u - AR_LIKE_f +AR_u - AR_LIKE_c +AR_u - AR_LIKE_m +AR_u - AR_LIKE_O + +AR_LIKE_b - AR_u +AR_LIKE_u - AR_u +AR_LIKE_i - AR_u +AR_LIKE_f - AR_u +AR_LIKE_c - AR_u +AR_LIKE_m - AR_u +AR_LIKE_M - AR_u +AR_LIKE_O - AR_u + +AR_i - AR_LIKE_b +AR_i - AR_LIKE_u +AR_i - AR_LIKE_i +AR_i - AR_LIKE_f +AR_i - AR_LIKE_c +AR_i - AR_LIKE_m +AR_i - AR_LIKE_O + +AR_LIKE_b - AR_i +AR_LIKE_u - AR_i +AR_LIKE_i - AR_i +AR_LIKE_f - AR_i +AR_LIKE_c - AR_i +AR_LIKE_m - AR_i +AR_LIKE_M - AR_i +AR_LIKE_O - AR_i + +AR_f - AR_LIKE_b +AR_f - AR_LIKE_u +AR_f - AR_LIKE_i +AR_f - AR_LIKE_f +AR_f - AR_LIKE_c +AR_f - AR_LIKE_O + +AR_LIKE_b - AR_f +AR_LIKE_u - AR_f +AR_LIKE_i - AR_f +AR_LIKE_f - AR_f +AR_LIKE_c - AR_f +AR_LIKE_O - AR_f + +AR_c - AR_LIKE_b +AR_c - AR_LIKE_u +AR_c - AR_LIKE_i +AR_c - AR_LIKE_f +AR_c - AR_LIKE_c +AR_c - AR_LIKE_O + +AR_LIKE_b - AR_c +AR_LIKE_u - AR_c +AR_LIKE_i - AR_c +AR_LIKE_f - AR_c +AR_LIKE_c - AR_c +AR_LIKE_O - AR_c + +AR_m - AR_LIKE_b +AR_m - AR_LIKE_u +AR_m - AR_LIKE_i +AR_m - AR_LIKE_m + +AR_LIKE_b - AR_m +AR_LIKE_u - AR_m +AR_LIKE_i - AR_m +AR_LIKE_m - AR_m +AR_LIKE_M - AR_m + +AR_M - AR_LIKE_b +AR_M - AR_LIKE_u +AR_M - AR_LIKE_i +AR_M - AR_LIKE_m +AR_M - AR_LIKE_M + +AR_LIKE_M - AR_M + +AR_O - AR_LIKE_b +AR_O - AR_LIKE_u +AR_O - AR_LIKE_i +AR_O - AR_LIKE_f +AR_O - AR_LIKE_c +AR_O - AR_LIKE_O + +AR_LIKE_b - AR_O +AR_LIKE_u - AR_O +AR_LIKE_i - AR_O +AR_LIKE_f - AR_O +AR_LIKE_c - AR_O +AR_LIKE_O - AR_O + +AR_u += AR_b +AR_u += AR_u +AR_u += 1 # Allowed during runtime as long as the object is 0D and >=0 + +# Array floor division + +AR_b // AR_LIKE_b +AR_b // AR_LIKE_u +AR_b // AR_LIKE_i +AR_b // AR_LIKE_f +AR_b // AR_LIKE_O + +AR_LIKE_b // AR_b +AR_LIKE_u // AR_b +AR_LIKE_i // AR_b +AR_LIKE_f // AR_b +AR_LIKE_O // AR_b + +AR_u // AR_LIKE_b +AR_u // AR_LIKE_u +AR_u // AR_LIKE_i +AR_u // AR_LIKE_f +AR_u // AR_LIKE_O + +AR_LIKE_b // AR_u +AR_LIKE_u // AR_u +AR_LIKE_i // AR_u +AR_LIKE_f // AR_u +AR_LIKE_m // AR_u +AR_LIKE_O // AR_u + +AR_i // AR_LIKE_b +AR_i // AR_LIKE_u +AR_i // AR_LIKE_i +AR_i // AR_LIKE_f +AR_i // AR_LIKE_O + +AR_LIKE_b // AR_i +AR_LIKE_u // AR_i +AR_LIKE_i // AR_i +AR_LIKE_f // AR_i +AR_LIKE_m // AR_i +AR_LIKE_O // AR_i + +AR_f // AR_LIKE_b +AR_f // AR_LIKE_u +AR_f // AR_LIKE_i +AR_f // AR_LIKE_f +AR_f // AR_LIKE_O + +AR_LIKE_b // AR_f +AR_LIKE_u // AR_f +AR_LIKE_i // AR_f +AR_LIKE_f // AR_f +AR_LIKE_m // AR_f +AR_LIKE_O // AR_f + +AR_m // AR_LIKE_u +AR_m // AR_LIKE_i +AR_m // AR_LIKE_f +AR_m // AR_LIKE_m + +AR_LIKE_m // AR_m + +AR_m /= f +AR_m //= f +AR_m /= AR_f +AR_m /= AR_LIKE_f +AR_m //= AR_f +AR_m //= AR_LIKE_f + +AR_O // AR_LIKE_b +AR_O // AR_LIKE_u +AR_O // AR_LIKE_i +AR_O // AR_LIKE_f +AR_O // AR_LIKE_O + +AR_LIKE_b // AR_O +AR_LIKE_u // AR_O +AR_LIKE_i // AR_O +AR_LIKE_f // AR_O +AR_LIKE_O // AR_O + +# Inplace multiplication + +AR_b *= AR_LIKE_b + +AR_u *= AR_LIKE_b +AR_u *= AR_LIKE_u + +AR_i *= AR_LIKE_b +AR_i *= AR_LIKE_u +AR_i *= AR_LIKE_i + +AR_integer *= AR_LIKE_b +AR_integer *= AR_LIKE_u +AR_integer *= AR_LIKE_i + +AR_f *= AR_LIKE_b +AR_f *= AR_LIKE_u +AR_f *= AR_LIKE_i +AR_f *= AR_LIKE_f + +AR_c *= AR_LIKE_b +AR_c *= AR_LIKE_u +AR_c *= AR_LIKE_i +AR_c *= AR_LIKE_f +AR_c *= AR_LIKE_c + +AR_m *= AR_LIKE_b +AR_m *= AR_LIKE_u +AR_m *= AR_LIKE_i +AR_m *= AR_LIKE_f + +AR_O *= AR_LIKE_b +AR_O *= AR_LIKE_u +AR_O *= AR_LIKE_i +AR_O *= AR_LIKE_f +AR_O *= AR_LIKE_c +AR_O *= AR_LIKE_O + +# Inplace power + +AR_u **= AR_LIKE_b +AR_u **= AR_LIKE_u + +AR_i **= AR_LIKE_b +AR_i **= AR_LIKE_u +AR_i **= AR_LIKE_i + +AR_integer **= AR_LIKE_b +AR_integer **= AR_LIKE_u +AR_integer **= AR_LIKE_i + +AR_f **= AR_LIKE_b +AR_f **= AR_LIKE_u +AR_f **= AR_LIKE_i +AR_f **= AR_LIKE_f + +AR_c **= AR_LIKE_b +AR_c **= AR_LIKE_u +AR_c **= AR_LIKE_i +AR_c **= AR_LIKE_f +AR_c **= AR_LIKE_c + +AR_O **= AR_LIKE_b +AR_O **= AR_LIKE_u +AR_O **= AR_LIKE_i +AR_O **= AR_LIKE_f +AR_O **= AR_LIKE_c +AR_O **= AR_LIKE_O + +# unary ops + +-c16 +-c8 +-f8 +-f4 +-i8 +-i4 +with pytest.warns(RuntimeWarning): + -u8 + -u4 +-td +-AR_f + ++c16 ++c8 ++f8 ++f4 ++i8 ++i4 ++u8 ++u4 ++td ++AR_f + +abs(c16) +abs(c8) +abs(f8) +abs(f4) +abs(i8) +abs(i4) +abs(u8) +abs(u4) +abs(td) +abs(b_) +abs(AR_f) + +# Time structures + +dt + td +dt + i +dt + i4 +dt + i8 +dt - dt +dt - i +dt - i4 +dt - i8 + +td + td +td + i +td + i4 +td + i8 +td - td +td - i +td - i4 +td - i8 +td / f +td / f4 +td / f8 +td / td +td // td +td % td + + +# boolean + +b_ / b +b_ / b_ +b_ / i +b_ / i8 +b_ / i4 +b_ / u8 +b_ / u4 +b_ / f +b_ / f8 +b_ / f4 +b_ / c +b_ / c16 +b_ / c8 + +b / b_ +b_ / b_ +i / b_ +i8 / b_ +i4 / b_ +u8 / b_ +u4 / b_ +f / b_ +f8 / b_ +f4 / b_ +c / b_ +c16 / b_ +c8 / b_ + +# Complex + +c16 + c16 +c16 + f8 +c16 + i8 +c16 + c8 +c16 + f4 +c16 + i4 +c16 + b_ +c16 + b +c16 + c +c16 + f +c16 + i +c16 + AR_f + +c16 + c16 +f8 + c16 +i8 + c16 +c8 + c16 +f4 + c16 +i4 + c16 +b_ + c16 +b + c16 +c + c16 +f + c16 +i + c16 +AR_f + c16 + +c8 + c16 +c8 + f8 +c8 + i8 +c8 + c8 +c8 + f4 +c8 + i4 +c8 + b_ +c8 + b +c8 + c +c8 + f +c8 + i +c8 + AR_f + +c16 + c8 +f8 + c8 +i8 + c8 +c8 + c8 +f4 + c8 +i4 + c8 +b_ + c8 +b + c8 +c + c8 +f + c8 +i + c8 +AR_f + c8 + +# Float + +f8 + f8 +f8 + i8 +f8 + f4 +f8 + i4 +f8 + b_ +f8 + b +f8 + c +f8 + f +f8 + i +f8 + AR_f + +f8 + f8 +i8 + f8 +f4 + f8 +i4 + f8 +b_ + f8 +b + f8 +c + f8 +f + f8 +i + f8 +AR_f + f8 + +f4 + f8 +f4 + i8 +f4 + f4 +f4 + i4 +f4 + b_ +f4 + b +f4 + c +f4 + f +f4 + i +f4 + AR_f + +f8 + f4 +i8 + f4 +f4 + f4 +i4 + f4 +b_ + f4 +b + f4 +c + f4 +f + f4 +i + f4 +AR_f + f4 + +# Int + +i8 + i8 +i8 + u8 +i8 + i4 +i8 + u4 +i8 + b_ +i8 + b +i8 + c +i8 + f +i8 + i +i8 + AR_f + +u8 + u8 +u8 + i4 +u8 + u4 +u8 + b_ +u8 + b +u8 + c +u8 + f +u8 + i +u8 + AR_f + +i8 + i8 +u8 + i8 +i4 + i8 +u4 + i8 +b_ + i8 +b + i8 +c + i8 +f + i8 +i + i8 +AR_f + i8 + +u8 + u8 +i4 + u8 +u4 + u8 +b_ + u8 +b + u8 +c + u8 +f + u8 +i + u8 +AR_f + u8 + +i4 + i8 +i4 + i4 +i4 + i +i4 + b_ +i4 + b +i4 + AR_f + +u4 + i8 +u4 + i4 +u4 + u8 +u4 + u4 +u4 + i +u4 + b_ +u4 + b +u4 + AR_f + +i8 + i4 +i4 + i4 +i + i4 +b_ + i4 +b + i4 +AR_f + i4 + +i8 + u4 +i4 + u4 +u8 + u4 +u4 + u4 +b_ + u4 +b + u4 +i + u4 +AR_f + u4 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/array_constructors.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/array_constructors.py new file mode 100644 index 0000000000000000000000000000000000000000..d91d257cb17cf907326e066b184e6265656abdb2 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/array_constructors.py @@ -0,0 +1,138 @@ +from typing import Any + +import numpy as np +import numpy.typing as npt + + +class Index: + def __index__(self) -> int: + return 0 + + +class SubClass(npt.NDArray[np.float64]): + pass + + +def func(i: int, j: int, **kwargs: Any) -> SubClass: + return B + + +i8 = np.int64(1) + +A = np.array([1]) +B = A.view(SubClass).copy() +B_stack = np.array([[1], [1]]).view(SubClass) +C = [1] + +np.ndarray(Index()) +np.ndarray([Index()]) + +np.array(1, dtype=float) +np.array(1, copy=None) +np.array(1, order='F') +np.array(1, order=None) +np.array(1, subok=True) +np.array(1, ndmin=3) +np.array(1, str, copy=True, order='C', subok=False, ndmin=2) + +np.asarray(A) +np.asarray(B) +np.asarray(C) + +np.asanyarray(A) +np.asanyarray(B) +np.asanyarray(B, dtype=int) +np.asanyarray(C) + +np.ascontiguousarray(A) +np.ascontiguousarray(B) +np.ascontiguousarray(C) + +np.asfortranarray(A) +np.asfortranarray(B) +np.asfortranarray(C) + +np.require(A) +np.require(B) +np.require(B, dtype=int) +np.require(B, requirements=None) +np.require(B, requirements="E") +np.require(B, requirements=["ENSUREARRAY"]) +np.require(B, requirements={"F", "E"}) +np.require(B, requirements=["C", "OWNDATA"]) +np.require(B, requirements="W") +np.require(B, requirements="A") +np.require(C) + +np.linspace(0, 2) +np.linspace(0.5, [0, 1, 2]) +np.linspace([0, 1, 2], 3) +np.linspace(0j, 2) +np.linspace(0, 2, num=10) +np.linspace(0, 2, endpoint=True) +np.linspace(0, 2, retstep=True) +np.linspace(0j, 2j, retstep=True) +np.linspace(0, 2, dtype=bool) +np.linspace([0, 1], [2, 3], axis=Index()) + +np.logspace(0, 2, base=2) +np.logspace(0, 2, base=2) +np.logspace(0, 2, base=[1j, 2j], num=2) + +np.geomspace(1, 2) + +np.zeros_like(A) +np.zeros_like(C) +np.zeros_like(B) +np.zeros_like(B, dtype=np.int64) + +np.ones_like(A) +np.ones_like(C) +np.ones_like(B) +np.ones_like(B, dtype=np.int64) + +np.empty_like(A) +np.empty_like(C) +np.empty_like(B) +np.empty_like(B, dtype=np.int64) + +np.full_like(A, i8) +np.full_like(C, i8) +np.full_like(B, i8) +np.full_like(B, i8, dtype=np.int64) + +np.ones(1) +np.ones([1, 1, 1]) + +np.full(1, i8) +np.full([1, 1, 1], i8) + +np.indices([1, 2, 3]) +np.indices([1, 2, 3], sparse=True) + +np.fromfunction(func, (3, 5)) + +np.identity(10) + +np.atleast_1d(C) +np.atleast_1d(A) +np.atleast_1d(C, C) +np.atleast_1d(C, A) +np.atleast_1d(A, A) + +np.atleast_2d(C) + +np.atleast_3d(C) + +np.vstack([C, C]) +np.vstack([C, A]) +np.vstack([A, A]) + +np.hstack([C, C]) + +np.stack([C, C]) +np.stack([C, C], axis=0) +np.stack([C, C], out=B_stack) + +np.block([[C, C], [C, C]]) +np.block(A) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/array_like.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/array_like.py new file mode 100644 index 0000000000000000000000000000000000000000..f922beae34ce87bfbd57cc8d0e6f5778cc4d96eb --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/array_like.py @@ -0,0 +1,43 @@ +from __future__ import annotations + +from typing import TYPE_CHECKING + +import numpy as np + +if TYPE_CHECKING: + from numpy._typing import ArrayLike, NDArray, _SupportsArray + +x1: ArrayLike = True +x2: ArrayLike = 5 +x3: ArrayLike = 1.0 +x4: ArrayLike = 1 + 1j +x5: ArrayLike = np.int8(1) +x6: ArrayLike = np.float64(1) +x7: ArrayLike = np.complex128(1) +x8: ArrayLike = np.array([1, 2, 3]) +x9: ArrayLike = [1, 2, 3] +x10: ArrayLike = (1, 2, 3) +x11: ArrayLike = "foo" +x12: ArrayLike = memoryview(b'foo') + + +class A: + def __array__(self, dtype: np.dtype | None = None) -> NDArray[np.float64]: + return np.array([1.0, 2.0, 3.0]) + + +x13: ArrayLike = A() + +scalar: _SupportsArray[np.dtype[np.int64]] = np.int64(1) +scalar.__array__() +array: _SupportsArray[np.dtype[np.int_]] = np.array(1) +array.__array__() + +a: _SupportsArray[np.dtype[np.float64]] = A() +a.__array__() +a.__array__() + +# Escape hatch for when you mean to make something like an object +# array. +object_array_scalar: object = (i for i in range(10)) +np.array(object_array_scalar) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/arrayprint.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/arrayprint.py new file mode 100644 index 0000000000000000000000000000000000000000..6c704c755570d1508424af92a0eb5aa1353666a0 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/arrayprint.py @@ -0,0 +1,37 @@ +import numpy as np + +AR = np.arange(10) +AR.setflags(write=False) + +with np.printoptions(): + np.set_printoptions( + precision=1, + threshold=2, + edgeitems=3, + linewidth=4, + suppress=False, + nanstr="Bob", + infstr="Bill", + formatter={}, + sign="+", + floatmode="unique", + ) + np.get_printoptions() + str(AR) + + np.array2string( + AR, + max_line_width=5, + precision=2, + suppress_small=True, + separator=";", + prefix="test", + threshold=5, + floatmode="fixed", + suffix="?", + legacy="1.13", + ) + np.format_float_scientific(1, precision=5) + np.format_float_positional(1, trim="k") + np.array_repr(AR) + np.array_str(AR) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/arrayterator.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/arrayterator.py new file mode 100644 index 0000000000000000000000000000000000000000..a99c09a252312fde45504c58824d1c07693c15d4 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/arrayterator.py @@ -0,0 +1,28 @@ + +from __future__ import annotations + +from typing import Any + +import numpy as np + +AR_i8: np.ndarray[Any, np.dtype[np.int_]] = np.arange(10) +ar_iter = np.lib.Arrayterator(AR_i8) + +ar_iter.var +ar_iter.buf_size +ar_iter.start +ar_iter.stop +ar_iter.step +ar_iter.shape +ar_iter.flat + +ar_iter.__array__() + +for i in ar_iter: + pass + +ar_iter[0] +ar_iter[...] +ar_iter[:] +ar_iter[0, 0, 0] +ar_iter[..., 0, :] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/bitwise_ops.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/bitwise_ops.py new file mode 100644 index 0000000000000000000000000000000000000000..2d4815b0d94089fa24b7924828b826ad35d75cde --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/bitwise_ops.py @@ -0,0 +1,131 @@ +import numpy as np + +i8 = np.int64(1) +u8 = np.uint64(1) + +i4 = np.int32(1) +u4 = np.uint32(1) + +b_ = np.bool(1) + +b = bool(1) +i = 1 + +AR = np.array([0, 1, 2], dtype=np.int32) +AR.setflags(write=False) + + +i8 << i8 +i8 >> i8 +i8 | i8 +i8 ^ i8 +i8 & i8 + +i << AR +i >> AR +i | AR +i ^ AR +i & AR + +i8 << AR +i8 >> AR +i8 | AR +i8 ^ AR +i8 & AR + +i4 << i4 +i4 >> i4 +i4 | i4 +i4 ^ i4 +i4 & i4 + +i8 << i4 +i8 >> i4 +i8 | i4 +i8 ^ i4 +i8 & i4 + +i8 << i +i8 >> i +i8 | i +i8 ^ i +i8 & i + +i8 << b_ +i8 >> b_ +i8 | b_ +i8 ^ b_ +i8 & b_ + +i8 << b +i8 >> b +i8 | b +i8 ^ b +i8 & b + +u8 << u8 +u8 >> u8 +u8 | u8 +u8 ^ u8 +u8 & u8 + +u4 << u4 +u4 >> u4 +u4 | u4 +u4 ^ u4 +u4 & u4 + +u4 << i4 +u4 >> i4 +u4 | i4 +u4 ^ i4 +u4 & i4 + +u4 << i +u4 >> i +u4 | i +u4 ^ i +u4 & i + +u8 << b_ +u8 >> b_ +u8 | b_ +u8 ^ b_ +u8 & b_ + +u8 << b +u8 >> b +u8 | b +u8 ^ b +u8 & b + +b_ << b_ +b_ >> b_ +b_ | b_ +b_ ^ b_ +b_ & b_ + +b_ << AR +b_ >> AR +b_ | AR +b_ ^ AR +b_ & AR + +b_ << b +b_ >> b +b_ | b +b_ ^ b +b_ & b + +b_ << i +b_ >> i +b_ | i +b_ ^ i +b_ & i + +~i8 +~i4 +~u8 +~u4 +~b_ +~AR diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/comparisons.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/comparisons.py new file mode 100644 index 0000000000000000000000000000000000000000..b2e52762c7a8e61fbe7d6e526df4dc4ffc6676df --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/comparisons.py @@ -0,0 +1,316 @@ +from __future__ import annotations + +from typing import Any, cast + +import numpy as np + +c16 = np.complex128() +f8 = np.float64() +i8 = np.int64() +u8 = np.uint64() + +c8 = np.complex64() +f4 = np.float32() +i4 = np.int32() +u4 = np.uint32() + +dt = np.datetime64(0, "D") +td = np.timedelta64(0, "D") + +b_ = np.bool() + +b = False +c = complex() +f = 0.0 +i = 0 + +SEQ = (0, 1, 2, 3, 4) + +AR_b: np.ndarray[Any, np.dtype[np.bool]] = np.array([True]) +AR_u: np.ndarray[Any, np.dtype[np.uint32]] = np.array([1], dtype=np.uint32) +AR_i: np.ndarray[Any, np.dtype[np.int_]] = np.array([1]) +AR_f: np.ndarray[Any, np.dtype[np.float64]] = np.array([1.0]) +AR_c: np.ndarray[Any, np.dtype[np.complex128]] = np.array([1.0j]) +AR_S: np.ndarray[Any, np.dtype[np.bytes_]] = np.array([b"a"], "S") +AR_T = cast(np.ndarray[Any, np.dtypes.StringDType], np.array(["a"], "T")) +AR_U: np.ndarray[Any, np.dtype[np.str_]] = np.array(["a"], "U") +AR_m: np.ndarray[Any, np.dtype[np.timedelta64]] = np.array([np.timedelta64("1")]) +AR_M: np.ndarray[Any, np.dtype[np.datetime64]] = np.array([np.datetime64("1")]) +AR_O: np.ndarray[Any, np.dtype[np.object_]] = np.array([1], dtype=object) + +# Arrays + +AR_b > AR_b +AR_b > AR_u +AR_b > AR_i +AR_b > AR_f +AR_b > AR_c + +AR_u > AR_b +AR_u > AR_u +AR_u > AR_i +AR_u > AR_f +AR_u > AR_c + +AR_i > AR_b +AR_i > AR_u +AR_i > AR_i +AR_i > AR_f +AR_i > AR_c + +AR_f > AR_b +AR_f > AR_u +AR_f > AR_i +AR_f > AR_f +AR_f > AR_c + +AR_c > AR_b +AR_c > AR_u +AR_c > AR_i +AR_c > AR_f +AR_c > AR_c + +AR_S > AR_S +AR_S > b"" + +AR_T > AR_T +AR_T > AR_U +AR_T > "" + +AR_U > AR_U +AR_U > AR_T +AR_U > "" + +AR_m > AR_b +AR_m > AR_u +AR_m > AR_i +AR_b > AR_m +AR_u > AR_m +AR_i > AR_m + +AR_M > AR_M + +AR_O > AR_O +1 > AR_O +AR_O > 1 + +# Time structures + +dt > dt + +td > td +td > i +td > i4 +td > i8 +td > AR_i +td > SEQ + +# boolean + +b_ > b +b_ > b_ +b_ > i +b_ > i8 +b_ > i4 +b_ > u8 +b_ > u4 +b_ > f +b_ > f8 +b_ > f4 +b_ > c +b_ > c16 +b_ > c8 +b_ > AR_i +b_ > SEQ + +# Complex + +c16 > c16 +c16 > f8 +c16 > i8 +c16 > c8 +c16 > f4 +c16 > i4 +c16 > b_ +c16 > b +c16 > c +c16 > f +c16 > i +c16 > AR_i +c16 > SEQ + +c16 > c16 +f8 > c16 +i8 > c16 +c8 > c16 +f4 > c16 +i4 > c16 +b_ > c16 +b > c16 +c > c16 +f > c16 +i > c16 +AR_i > c16 +SEQ > c16 + +c8 > c16 +c8 > f8 +c8 > i8 +c8 > c8 +c8 > f4 +c8 > i4 +c8 > b_ +c8 > b +c8 > c +c8 > f +c8 > i +c8 > AR_i +c8 > SEQ + +c16 > c8 +f8 > c8 +i8 > c8 +c8 > c8 +f4 > c8 +i4 > c8 +b_ > c8 +b > c8 +c > c8 +f > c8 +i > c8 +AR_i > c8 +SEQ > c8 + +# Float + +f8 > f8 +f8 > i8 +f8 > f4 +f8 > i4 +f8 > b_ +f8 > b +f8 > c +f8 > f +f8 > i +f8 > AR_i +f8 > SEQ + +f8 > f8 +i8 > f8 +f4 > f8 +i4 > f8 +b_ > f8 +b > f8 +c > f8 +f > f8 +i > f8 +AR_i > f8 +SEQ > f8 + +f4 > f8 +f4 > i8 +f4 > f4 +f4 > i4 +f4 > b_ +f4 > b +f4 > c +f4 > f +f4 > i +f4 > AR_i +f4 > SEQ + +f8 > f4 +i8 > f4 +f4 > f4 +i4 > f4 +b_ > f4 +b > f4 +c > f4 +f > f4 +i > f4 +AR_i > f4 +SEQ > f4 + +# Int + +i8 > i8 +i8 > u8 +i8 > i4 +i8 > u4 +i8 > b_ +i8 > b +i8 > c +i8 > f +i8 > i +i8 > AR_i +i8 > SEQ + +u8 > u8 +u8 > i4 +u8 > u4 +u8 > b_ +u8 > b +u8 > c +u8 > f +u8 > i +u8 > AR_i +u8 > SEQ + +i8 > i8 +u8 > i8 +i4 > i8 +u4 > i8 +b_ > i8 +b > i8 +c > i8 +f > i8 +i > i8 +AR_i > i8 +SEQ > i8 + +u8 > u8 +i4 > u8 +u4 > u8 +b_ > u8 +b > u8 +c > u8 +f > u8 +i > u8 +AR_i > u8 +SEQ > u8 + +i4 > i8 +i4 > i4 +i4 > i +i4 > b_ +i4 > b +i4 > AR_i +i4 > SEQ + +u4 > i8 +u4 > i4 +u4 > u8 +u4 > u4 +u4 > i +u4 > b_ +u4 > b +u4 > AR_i +u4 > SEQ + +i8 > i4 +i4 > i4 +i > i4 +b_ > i4 +b > i4 +AR_i > i4 +SEQ > i4 + +i8 > u4 +i4 > u4 +u8 > u4 +u4 > u4 +b_ > u4 +b > u4 +i > u4 +AR_i > u4 +SEQ > u4 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/dtype.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/dtype.py new file mode 100644 index 0000000000000000000000000000000000000000..9f11518276c842f2601e3f1420020f00e3b775fb --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/dtype.py @@ -0,0 +1,57 @@ +import numpy as np + +dtype_obj = np.dtype(np.str_) +void_dtype_obj = np.dtype([("f0", np.float64), ("f1", np.float32)]) + +np.dtype(dtype=np.int64) +np.dtype(int) +np.dtype("int") +np.dtype(None) + +np.dtype((int, 2)) +np.dtype((int, (1,))) + +np.dtype({"names": ["a", "b"], "formats": [int, float]}) +np.dtype({"names": ["a"], "formats": [int], "titles": [object]}) +np.dtype({"names": ["a"], "formats": [int], "titles": [object()]}) + +np.dtype([("name", np.str_, 16), ("grades", np.float64, (2,)), ("age", "int32")]) + +np.dtype( + { + "names": ["a", "b"], + "formats": [int, float], + "itemsize": 9, + "aligned": False, + "titles": ["x", "y"], + "offsets": [0, 1], + } +) + +np.dtype((np.float64, float)) + + +class Test: + dtype = np.dtype(float) + + +np.dtype(Test()) + +# Methods and attributes +dtype_obj.base +dtype_obj.subdtype +dtype_obj.newbyteorder() +dtype_obj.type +dtype_obj.name +dtype_obj.names + +dtype_obj * 0 +dtype_obj * 2 + +0 * dtype_obj +2 * dtype_obj + +void_dtype_obj["f0"] +void_dtype_obj[0] +void_dtype_obj[["f0", "f1"]] +void_dtype_obj[["f0"]] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/einsumfunc.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/einsumfunc.py new file mode 100644 index 0000000000000000000000000000000000000000..429764e67eccc7855d363da20d432fdb45e66971 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/einsumfunc.py @@ -0,0 +1,36 @@ +from __future__ import annotations + +from typing import Any + +import numpy as np + +AR_LIKE_b = [True, True, True] +AR_LIKE_u = [np.uint32(1), np.uint32(2), np.uint32(3)] +AR_LIKE_i = [1, 2, 3] +AR_LIKE_f = [1.0, 2.0, 3.0] +AR_LIKE_c = [1j, 2j, 3j] +AR_LIKE_U = ["1", "2", "3"] + +OUT_f: np.ndarray[Any, np.dtype[np.float64]] = np.empty(3, dtype=np.float64) +OUT_c: np.ndarray[Any, np.dtype[np.complex128]] = np.empty(3, dtype=np.complex128) + +np.einsum("i,i->i", AR_LIKE_b, AR_LIKE_b) +np.einsum("i,i->i", AR_LIKE_u, AR_LIKE_u) +np.einsum("i,i->i", AR_LIKE_i, AR_LIKE_i) +np.einsum("i,i->i", AR_LIKE_f, AR_LIKE_f) +np.einsum("i,i->i", AR_LIKE_c, AR_LIKE_c) +np.einsum("i,i->i", AR_LIKE_b, AR_LIKE_i) +np.einsum("i,i,i,i->i", AR_LIKE_b, AR_LIKE_u, AR_LIKE_i, AR_LIKE_c) + +np.einsum("i,i->i", AR_LIKE_f, AR_LIKE_f, dtype="c16") +np.einsum("i,i->i", AR_LIKE_U, AR_LIKE_U, dtype=bool, casting="unsafe") +np.einsum("i,i->i", AR_LIKE_f, AR_LIKE_f, out=OUT_c) +np.einsum("i,i->i", AR_LIKE_U, AR_LIKE_U, dtype=int, casting="unsafe", out=OUT_f) + +np.einsum_path("i,i->i", AR_LIKE_b, AR_LIKE_b) +np.einsum_path("i,i->i", AR_LIKE_u, AR_LIKE_u) +np.einsum_path("i,i->i", AR_LIKE_i, AR_LIKE_i) +np.einsum_path("i,i->i", AR_LIKE_f, AR_LIKE_f) +np.einsum_path("i,i->i", AR_LIKE_c, AR_LIKE_c) +np.einsum_path("i,i->i", AR_LIKE_b, AR_LIKE_i) +np.einsum_path("i,i,i,i->i", AR_LIKE_b, AR_LIKE_u, AR_LIKE_i, AR_LIKE_c) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/flatiter.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/flatiter.py new file mode 100644 index 0000000000000000000000000000000000000000..70de3a67917dd8e9f32f4c0dc4f38d1693d96764 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/flatiter.py @@ -0,0 +1,26 @@ +import numpy as np + +a = np.empty((2, 2)).flat + +a.base +a.copy() +a.coords +a.index +iter(a) +next(a) +a[0] +a[...] +a[:] +a.__array__() + +b = np.array([1]).flat +a[b] + +a[0] = "1" +a[:] = "2" +a[...] = "3" +a[[]] = "4" +a[[0]] = "5" +a[[[0]]] = "6" +a[[[[[0]]]]] = "7" +a[b] = "8" diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/fromnumeric.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/fromnumeric.py new file mode 100644 index 0000000000000000000000000000000000000000..7cc2bcfd8b50f235081e737c3420e1db34191637 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/fromnumeric.py @@ -0,0 +1,272 @@ +"""Tests for :mod:`numpy._core.fromnumeric`.""" + +import numpy as np + +A = np.array(True, ndmin=2, dtype=bool) +B = np.array(1.0, ndmin=2, dtype=np.float32) +A.setflags(write=False) +B.setflags(write=False) + +a = np.bool(True) +b = np.float32(1.0) +c = 1.0 +d = np.array(1.0, dtype=np.float32) # writeable + +np.take(a, 0) +np.take(b, 0) +np.take(c, 0) +np.take(A, 0) +np.take(B, 0) +np.take(A, [0]) +np.take(B, [0]) + +np.reshape(a, 1) +np.reshape(b, 1) +np.reshape(c, 1) +np.reshape(A, 1) +np.reshape(B, 1) + +np.choose(a, [True, True]) +np.choose(A, [1.0, 1.0]) + +np.repeat(a, 1) +np.repeat(b, 1) +np.repeat(c, 1) +np.repeat(A, 1) +np.repeat(B, 1) + +np.swapaxes(A, 0, 0) +np.swapaxes(B, 0, 0) + +np.transpose(a) +np.transpose(b) +np.transpose(c) +np.transpose(A) +np.transpose(B) + +np.partition(a, 0, axis=None) +np.partition(b, 0, axis=None) +np.partition(c, 0, axis=None) +np.partition(A, 0) +np.partition(B, 0) + +np.argpartition(a, 0) +np.argpartition(b, 0) +np.argpartition(c, 0) +np.argpartition(A, 0) +np.argpartition(B, 0) + +np.sort(A, 0) +np.sort(B, 0) + +np.argsort(A, 0) +np.argsort(B, 0) + +np.argmax(A) +np.argmax(B) +np.argmax(A, axis=0) +np.argmax(B, axis=0) + +np.argmin(A) +np.argmin(B) +np.argmin(A, axis=0) +np.argmin(B, axis=0) + +np.searchsorted(A[0], 0) +np.searchsorted(B[0], 0) +np.searchsorted(A[0], [0]) +np.searchsorted(B[0], [0]) + +np.resize(a, (5, 5)) +np.resize(b, (5, 5)) +np.resize(c, (5, 5)) +np.resize(A, (5, 5)) +np.resize(B, (5, 5)) + +np.squeeze(a) +np.squeeze(b) +np.squeeze(c) +np.squeeze(A) +np.squeeze(B) + +np.diagonal(A) +np.diagonal(B) + +np.trace(A) +np.trace(B) + +np.ravel(a) +np.ravel(b) +np.ravel(c) +np.ravel(A) +np.ravel(B) + +np.nonzero(A) +np.nonzero(B) + +np.shape(a) +np.shape(b) +np.shape(c) +np.shape(A) +np.shape(B) + +np.compress([True], a) +np.compress([True], b) +np.compress([True], c) +np.compress([True], A) +np.compress([True], B) + +np.clip(a, 0, 1.0) +np.clip(b, -1, 1) +np.clip(a, 0, None) +np.clip(b, None, 1) +np.clip(c, 0, 1) +np.clip(A, 0, 1) +np.clip(B, 0, 1) +np.clip(B, [0, 1], [1, 2]) + +np.sum(a) +np.sum(b) +np.sum(c) +np.sum(A) +np.sum(B) +np.sum(A, axis=0) +np.sum(B, axis=0) + +np.all(a) +np.all(b) +np.all(c) +np.all(A) +np.all(B) +np.all(A, axis=0) +np.all(B, axis=0) +np.all(A, keepdims=True) +np.all(B, keepdims=True) + +np.any(a) +np.any(b) +np.any(c) +np.any(A) +np.any(B) +np.any(A, axis=0) +np.any(B, axis=0) +np.any(A, keepdims=True) +np.any(B, keepdims=True) + +np.cumsum(a) +np.cumsum(b) +np.cumsum(c) +np.cumsum(A) +np.cumsum(B) + +np.cumulative_sum(a) +np.cumulative_sum(b) +np.cumulative_sum(c) +np.cumulative_sum(A, axis=0) +np.cumulative_sum(B, axis=0) + +np.ptp(b) +np.ptp(c) +np.ptp(B) +np.ptp(B, axis=0) +np.ptp(B, keepdims=True) + +np.amax(a) +np.amax(b) +np.amax(c) +np.amax(A) +np.amax(B) +np.amax(A, axis=0) +np.amax(B, axis=0) +np.amax(A, keepdims=True) +np.amax(B, keepdims=True) + +np.amin(a) +np.amin(b) +np.amin(c) +np.amin(A) +np.amin(B) +np.amin(A, axis=0) +np.amin(B, axis=0) +np.amin(A, keepdims=True) +np.amin(B, keepdims=True) + +np.prod(a) +np.prod(b) +np.prod(c) +np.prod(A) +np.prod(B) +np.prod(a, dtype=None) +np.prod(A, dtype=None) +np.prod(A, axis=0) +np.prod(B, axis=0) +np.prod(A, keepdims=True) +np.prod(B, keepdims=True) +np.prod(b, out=d) +np.prod(B, out=d) + +np.cumprod(a) +np.cumprod(b) +np.cumprod(c) +np.cumprod(A) +np.cumprod(B) + +np.cumulative_prod(a) +np.cumulative_prod(b) +np.cumulative_prod(c) +np.cumulative_prod(A, axis=0) +np.cumulative_prod(B, axis=0) + +np.ndim(a) +np.ndim(b) +np.ndim(c) +np.ndim(A) +np.ndim(B) + +np.size(a) +np.size(b) +np.size(c) +np.size(A) +np.size(B) + +np.around(a) +np.around(b) +np.around(c) +np.around(A) +np.around(B) + +np.mean(a) +np.mean(b) +np.mean(c) +np.mean(A) +np.mean(B) +np.mean(A, axis=0) +np.mean(B, axis=0) +np.mean(A, keepdims=True) +np.mean(B, keepdims=True) +np.mean(b, out=d) +np.mean(B, out=d) + +np.std(a) +np.std(b) +np.std(c) +np.std(A) +np.std(B) +np.std(A, axis=0) +np.std(B, axis=0) +np.std(A, keepdims=True) +np.std(B, keepdims=True) +np.std(b, out=d) +np.std(B, out=d) + +np.var(a) +np.var(b) +np.var(c) +np.var(A) +np.var(B) +np.var(A, axis=0) +np.var(B, axis=0) +np.var(A, keepdims=True) +np.var(B, keepdims=True) +np.var(b, out=d) +np.var(B, out=d) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/index_tricks.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/index_tricks.py new file mode 100644 index 0000000000000000000000000000000000000000..ea98156a8f2eacf86f0e4dff14b95588455b8d96 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/index_tricks.py @@ -0,0 +1,62 @@ +from __future__ import annotations + +from typing import Any + +import numpy as np + +AR_LIKE_b = [[True, True], [True, True]] +AR_LIKE_i = [[1, 2], [3, 4]] +AR_LIKE_f = [[1.0, 2.0], [3.0, 4.0]] +AR_LIKE_U = [["1", "2"], ["3", "4"]] + +AR_i8: np.ndarray[Any, np.dtype[np.int64]] = np.array(AR_LIKE_i, dtype=np.int64) + +np.ndenumerate(AR_i8) +np.ndenumerate(AR_LIKE_f) +np.ndenumerate(AR_LIKE_U) + +next(np.ndenumerate(AR_i8)) +next(np.ndenumerate(AR_LIKE_f)) +next(np.ndenumerate(AR_LIKE_U)) + +iter(np.ndenumerate(AR_i8)) +iter(np.ndenumerate(AR_LIKE_f)) +iter(np.ndenumerate(AR_LIKE_U)) + +iter(np.ndindex(1, 2, 3)) +next(np.ndindex(1, 2, 3)) + +np.unravel_index([22, 41, 37], (7, 6)) +np.unravel_index([31, 41, 13], (7, 6), order='F') +np.unravel_index(1621, (6, 7, 8, 9)) + +np.ravel_multi_index(AR_LIKE_i, (7, 6)) +np.ravel_multi_index(AR_LIKE_i, (7, 6), order='F') +np.ravel_multi_index(AR_LIKE_i, (4, 6), mode='clip') +np.ravel_multi_index(AR_LIKE_i, (4, 4), mode=('clip', 'wrap')) +np.ravel_multi_index((3, 1, 4, 1), (6, 7, 8, 9)) + +np.mgrid[1:1:2] +np.mgrid[1:1:2, None:10] + +np.ogrid[1:1:2] +np.ogrid[1:1:2, None:10] + +np.index_exp[0:1] +np.index_exp[0:1, None:3] +np.index_exp[0, 0:1, ..., [0, 1, 3]] + +np.s_[0:1] +np.s_[0:1, None:3] +np.s_[0, 0:1, ..., [0, 1, 3]] + +np.ix_(AR_LIKE_b[0]) +np.ix_(AR_LIKE_i[0], AR_LIKE_f[0]) +np.ix_(AR_i8[0]) + +np.fill_diagonal(AR_i8, 5) + +np.diag_indices(4) +np.diag_indices(2, 3) + +np.diag_indices_from(AR_i8) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/lib_user_array.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/lib_user_array.py new file mode 100644 index 0000000000000000000000000000000000000000..f79dc38af508b43c5d385c67072e31acca418def --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/lib_user_array.py @@ -0,0 +1,22 @@ +"""Based on the `if __name__ == "__main__"` test code in `lib/_user_array_impl.py`.""" + +from __future__ import annotations + +import numpy as np +from numpy.lib.user_array import container # type: ignore[deprecated] + +N = 10_000 +W = H = int(N**0.5) + +a: np.ndarray[tuple[int, int], np.dtype[np.int32]] +ua: container[tuple[int, int], np.dtype[np.int32]] + +a = np.arange(N, dtype=np.int32).reshape(W, H) +ua = container(a) + +ua_small: container[tuple[int, int], np.dtype[np.int32]] = ua[:3, :5] +ua_small[0, 0] = 10 + +ua_bool: container[tuple[int, int], np.dtype[np.bool]] = ua_small > 1 + +# shape: tuple[int, int] = np.shape(ua) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/lib_utils.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/lib_utils.py new file mode 100644 index 0000000000000000000000000000000000000000..f9b3381e13d26adf44130fc62aa8bfaacfe6a658 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/lib_utils.py @@ -0,0 +1,19 @@ +from __future__ import annotations + +from io import StringIO + +import numpy as np +import numpy.lib.array_utils as array_utils + +FILE = StringIO() +AR = np.arange(10, dtype=np.float64) + + +def func(a: int) -> bool: + return True + + +array_utils.byte_bounds(AR) +array_utils.byte_bounds(np.float64()) + +np.info(1, output=FILE) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/lib_version.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/lib_version.py new file mode 100644 index 0000000000000000000000000000000000000000..f3825eca524795f4d9742873a773cd7749636e2a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/lib_version.py @@ -0,0 +1,18 @@ +from numpy.lib import NumpyVersion + +version = NumpyVersion("1.8.0") + +version.vstring +version.version +version.major +version.minor +version.bugfix +version.pre_release +version.is_devversion + +version == version +version != version +version < "1.8.0" +version <= version +version > version +version >= "1.8.0" diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/literal.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/literal.py new file mode 100644 index 0000000000000000000000000000000000000000..f1e0cb2a69d3e60d1afabeab970b156cce1dde58 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/literal.py @@ -0,0 +1,52 @@ +from __future__ import annotations + +from functools import partial +from typing import TYPE_CHECKING, Any + +import pytest + +import numpy as np + +if TYPE_CHECKING: + from collections.abc import Callable + +AR = np.array(0) +AR.setflags(write=False) + +KACF = frozenset({None, "K", "A", "C", "F"}) +ACF = frozenset({None, "A", "C", "F"}) +CF = frozenset({None, "C", "F"}) + +order_list: list[tuple[frozenset[str | None], Callable[..., Any]]] = [ + (KACF, AR.tobytes), + (KACF, partial(AR.astype, int)), + (KACF, AR.copy), + (ACF, partial(AR.reshape, 1)), + (KACF, AR.flatten), + (KACF, AR.ravel), + (KACF, partial(np.array, 1)), + # NOTE: __call__ is needed due to mypy bugs (#17620, #17631) + (KACF, partial(np.ndarray.__call__, 1)), + (CF, partial(np.zeros.__call__, 1)), + (CF, partial(np.ones.__call__, 1)), + (CF, partial(np.empty.__call__, 1)), + (CF, partial(np.full, 1, 1)), + (KACF, partial(np.zeros_like, AR)), + (KACF, partial(np.ones_like, AR)), + (KACF, partial(np.empty_like, AR)), + (KACF, partial(np.full_like, AR, 1)), + (KACF, partial(np.add.__call__, 1, 1)), # i.e. np.ufunc.__call__ + (ACF, partial(np.reshape, AR, 1)), + (KACF, partial(np.ravel, AR)), + (KACF, partial(np.asarray, 1)), + (KACF, partial(np.asanyarray, 1)), +] + +for order_set, func in order_list: + for order in order_set: + func(order=order) + + invalid_orders = KACF - order_set + for order in invalid_orders: + with pytest.raises(ValueError): + func(order=order) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ma.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ma.py new file mode 100644 index 0000000000000000000000000000000000000000..3ccea66861ebd1816dca659456ca246a3536f8d8 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ma.py @@ -0,0 +1,199 @@ +import datetime as dt +from typing import Any, TypeAlias, TypeVar, cast + +import numpy as np +import numpy.typing as npt +from numpy._typing import _Shape + +_ScalarT = TypeVar("_ScalarT", bound=np.generic) +MaskedArray: TypeAlias = np.ma.MaskedArray[_Shape, np.dtype[_ScalarT]] + +# mypy: disable-error-code=no-untyped-call + +MAR_b: MaskedArray[np.bool] = np.ma.MaskedArray([True]) +MAR_u: MaskedArray[np.uint32] = np.ma.MaskedArray([1], dtype=np.uint32) +MAR_i: MaskedArray[np.int64] = np.ma.MaskedArray([1]) +MAR_f: MaskedArray[np.float64] = np.ma.MaskedArray([1.0]) +MAR_c: MaskedArray[np.complex128] = np.ma.MaskedArray([1j]) +MAR_td64: MaskedArray[np.timedelta64] = np.ma.MaskedArray([np.timedelta64(1, "D")]) +MAR_dt64: MaskedArray[np.datetime64] = np.ma.MaskedArray([np.datetime64(1, "D")]) +MAR_S: MaskedArray[np.bytes_] = np.ma.MaskedArray([b'foo'], dtype=np.bytes_) +MAR_U: MaskedArray[np.str_] = np.ma.MaskedArray(['foo'], dtype=np.str_) +MAR_T = cast(np.ma.MaskedArray[Any, np.dtypes.StringDType], + np.ma.MaskedArray(["a"], dtype="T")) +MAR_V: MaskedArray[np.void] = np.ma.MaskedArray( + [(1, 1)], + mask=[(False, False)], + dtype=[('a', int), ('b', int)] +) + +AR_b: npt.NDArray[np.bool] = np.array([True, False, True]) + +AR_LIKE_b = [True] +AR_LIKE_u = [np.uint32(1)] +AR_LIKE_i = [1] +AR_LIKE_f = [1.0] +AR_LIKE_c = [1j] +AR_LIKE_m = [np.timedelta64(1, "D")] +AR_LIKE_M = [np.datetime64(1, "D")] + +MAR_f.mask = AR_b +MAR_f.mask = np.False_ + +MAR_i.fill_value = 0 + +MAR_b.flat[MAR_i > 0] = False +MAR_i.flat[:] = 1 +MAR_f.flat[[0]] = AR_LIKE_f +MAR_c.flat[[0, 0]] = [3, 4 + 3j] +MAR_td64.flat[0] = dt.timedelta(1) +MAR_dt64.flat[0] = dt.datetime(2020, 1, 1) + +MAR_b[MAR_i > 0] = False +MAR_i[:] = 1 +MAR_f[[0]] = AR_LIKE_f +MAR_c[[0, 0]] = [3, 4 + 3j] +MAR_td64[0] = dt.timedelta(1) +MAR_dt64[0] = dt.datetime(2020, 1, 1) +MAR_V['a'] = [2] + +# Inplace addition + +MAR_b += AR_LIKE_b + +MAR_u += AR_LIKE_b +MAR_u += AR_LIKE_u + +MAR_i += AR_LIKE_b +MAR_i += 2 +MAR_i += AR_LIKE_i + +MAR_f += AR_LIKE_b +MAR_f += 2 +MAR_f += AR_LIKE_u +MAR_f += AR_LIKE_i +MAR_f += AR_LIKE_f + +MAR_c += AR_LIKE_b +MAR_c += AR_LIKE_u +MAR_c += AR_LIKE_i +MAR_c += AR_LIKE_f +MAR_c += AR_LIKE_c + +MAR_td64 += AR_LIKE_b +MAR_td64 += AR_LIKE_u +MAR_td64 += AR_LIKE_i +MAR_td64 += AR_LIKE_m +MAR_dt64 += AR_LIKE_b +MAR_dt64 += AR_LIKE_u +MAR_dt64 += AR_LIKE_i +MAR_dt64 += AR_LIKE_m + +MAR_S += b'snakes' +MAR_U += 'snakes' +MAR_T += 'snakes' + +# Inplace subtraction + +MAR_u -= AR_LIKE_b +MAR_u -= AR_LIKE_u + +MAR_i -= AR_LIKE_b +MAR_i -= AR_LIKE_i + +MAR_f -= AR_LIKE_b +MAR_f -= AR_LIKE_u +MAR_f -= AR_LIKE_i +MAR_f -= AR_LIKE_f + +MAR_c -= AR_LIKE_b +MAR_c -= AR_LIKE_u +MAR_c -= AR_LIKE_i +MAR_c -= AR_LIKE_f +MAR_c -= AR_LIKE_c + +MAR_td64 -= AR_LIKE_b +MAR_td64 -= AR_LIKE_u +MAR_td64 -= AR_LIKE_i +MAR_td64 -= AR_LIKE_m +MAR_dt64 -= AR_LIKE_b +MAR_dt64 -= AR_LIKE_u +MAR_dt64 -= AR_LIKE_i +MAR_dt64 -= AR_LIKE_m + +# Inplace floor division + +MAR_f //= AR_LIKE_b +MAR_f //= 2 +MAR_f //= AR_LIKE_u +MAR_f //= AR_LIKE_i +MAR_f //= AR_LIKE_f + +MAR_td64 //= AR_LIKE_i + +# Inplace true division + +MAR_f /= AR_LIKE_b +MAR_f /= 2 +MAR_f /= AR_LIKE_u +MAR_f /= AR_LIKE_i +MAR_f /= AR_LIKE_f + +MAR_c /= AR_LIKE_b +MAR_c /= AR_LIKE_u +MAR_c /= AR_LIKE_i +MAR_c /= AR_LIKE_f +MAR_c /= AR_LIKE_c + +MAR_td64 /= AR_LIKE_i + +# Inplace multiplication + +MAR_b *= AR_LIKE_b + +MAR_u *= AR_LIKE_b +MAR_u *= AR_LIKE_u + +MAR_i *= AR_LIKE_b +MAR_i *= 2 +MAR_i *= AR_LIKE_i + +MAR_f *= AR_LIKE_b +MAR_f *= 2 +MAR_f *= AR_LIKE_u +MAR_f *= AR_LIKE_i +MAR_f *= AR_LIKE_f + +MAR_c *= AR_LIKE_b +MAR_c *= AR_LIKE_u +MAR_c *= AR_LIKE_i +MAR_c *= AR_LIKE_f +MAR_c *= AR_LIKE_c + +MAR_td64 *= AR_LIKE_b +MAR_td64 *= AR_LIKE_u +MAR_td64 *= AR_LIKE_i +MAR_td64 *= AR_LIKE_f + +MAR_S *= 2 +MAR_U *= 2 +MAR_T *= 2 + +# Inplace power + +MAR_u **= AR_LIKE_b +MAR_u **= AR_LIKE_u + +MAR_i **= AR_LIKE_b +MAR_i **= AR_LIKE_i + +MAR_f **= AR_LIKE_b +MAR_f **= AR_LIKE_u +MAR_f **= AR_LIKE_i +MAR_f **= AR_LIKE_f + +MAR_c **= AR_LIKE_b +MAR_c **= AR_LIKE_u +MAR_c **= AR_LIKE_i +MAR_c **= AR_LIKE_f +MAR_c **= AR_LIKE_c diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/mod.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/mod.py new file mode 100644 index 0000000000000000000000000000000000000000..464326486fa296374e722e3fc77242d67f7a8dac --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/mod.py @@ -0,0 +1,149 @@ +import numpy as np + +f8 = np.float64(1) +i8 = np.int64(1) +u8 = np.uint64(1) + +f4 = np.float32(1) +i4 = np.int32(1) +u4 = np.uint32(1) + +td = np.timedelta64(1, "D") +b_ = np.bool(1) + +b = bool(1) +f = float(1) +i = 1 + +AR = np.array([1], dtype=np.bool) +AR.setflags(write=False) + +AR2 = np.array([1], dtype=np.timedelta64) +AR2.setflags(write=False) + +# Time structures + +td % td +td % AR2 +AR2 % td + +divmod(td, td) +divmod(td, AR2) +divmod(AR2, td) + +# Bool + +b_ % b +b_ % i +b_ % f +b_ % b_ +b_ % i8 +b_ % u8 +b_ % f8 +b_ % AR + +divmod(b_, b) +divmod(b_, i) +divmod(b_, f) +divmod(b_, b_) +divmod(b_, i8) +divmod(b_, u8) +divmod(b_, f8) +divmod(b_, AR) + +b % b_ +i % b_ +f % b_ +b_ % b_ +i8 % b_ +u8 % b_ +f8 % b_ +AR % b_ + +divmod(b, b_) +divmod(i, b_) +divmod(f, b_) +divmod(b_, b_) +divmod(i8, b_) +divmod(u8, b_) +divmod(f8, b_) +divmod(AR, b_) + +# int + +i8 % b +i8 % i +i8 % f +i8 % i8 +i8 % f8 +i4 % i8 +i4 % f8 +i4 % i4 +i4 % f4 +i8 % AR + +divmod(i8, b) +divmod(i8, i) +divmod(i8, f) +divmod(i8, i8) +divmod(i8, f8) +divmod(i8, i4) +divmod(i8, f4) +divmod(i4, i4) +divmod(i4, f4) +divmod(i8, AR) + +b % i8 +i % i8 +f % i8 +i8 % i8 +f8 % i8 +i8 % i4 +f8 % i4 +i4 % i4 +f4 % i4 +AR % i8 + +divmod(b, i8) +divmod(i, i8) +divmod(f, i8) +divmod(i8, i8) +divmod(f8, i8) +divmod(i4, i8) +divmod(f4, i8) +divmod(i4, i4) +divmod(f4, i4) +divmod(AR, i8) + +# float + +f8 % b +f8 % i +f8 % f +i8 % f4 +f4 % f4 +f8 % AR + +divmod(f8, b) +divmod(f8, i) +divmod(f8, f) +divmod(f8, f8) +divmod(f8, f4) +divmod(f4, f4) +divmod(f8, AR) + +b % f8 +i % f8 +f % f8 +f8 % f8 +f8 % f8 +f4 % f4 +AR % f8 + +divmod(b, f8) +divmod(i, f8) +divmod(f, f8) +divmod(f8, f8) +divmod(f4, f8) +divmod(f4, f4) +divmod(AR, f8) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/modules.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/modules.py new file mode 100644 index 0000000000000000000000000000000000000000..0c2fd4b7e7c3a2d0ed1be39928edf5b2d591e16c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/modules.py @@ -0,0 +1,45 @@ +import numpy as np +from numpy import f2py + +np.char +np.ctypeslib +np.emath +np.fft +np.lib +np.linalg +np.ma +np.matrixlib +np.polynomial +np.random +np.rec +np.strings +np.testing +np.version + +np.lib.format +np.lib.mixins +np.lib.scimath +np.lib.stride_tricks +np.lib.array_utils +np.ma.extras +np.polynomial.chebyshev +np.polynomial.hermite +np.polynomial.hermite_e +np.polynomial.laguerre +np.polynomial.legendre +np.polynomial.polynomial + +np.__path__ +np.__version__ + +np.__all__ +np.char.__all__ +np.ctypeslib.__all__ +np.emath.__all__ +np.lib.__all__ +np.ma.__all__ +np.random.__all__ +np.rec.__all__ +np.strings.__all__ +np.testing.__all__ +f2py.__all__ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/multiarray.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/multiarray.py new file mode 100644 index 0000000000000000000000000000000000000000..3a505590b5d3818da89aecba3fdf10eecd45004d --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/multiarray.py @@ -0,0 +1,77 @@ +import numpy as np +import numpy.typing as npt + +AR_f8: npt.NDArray[np.float64] = np.array([1.0]) +AR_i4 = np.array([1], dtype=np.int32) +AR_u1 = np.array([1], dtype=np.uint8) + +AR_LIKE_f = [1.5] +AR_LIKE_i = [1] + +b_f8 = np.broadcast(AR_f8) +b_i4_f8_f8 = np.broadcast(AR_i4, AR_f8, AR_f8) + +next(b_f8) +b_f8.reset() +b_f8.index +b_f8.iters +b_f8.nd +b_f8.ndim +b_f8.numiter +b_f8.shape +b_f8.size + +next(b_i4_f8_f8) +b_i4_f8_f8.reset() +b_i4_f8_f8.ndim +b_i4_f8_f8.index +b_i4_f8_f8.iters +b_i4_f8_f8.nd +b_i4_f8_f8.numiter +b_i4_f8_f8.shape +b_i4_f8_f8.size + +np.inner(AR_f8, AR_i4) + +np.where([True, True, False]) +np.where([True, True, False], 1, 0) + +np.lexsort([0, 1, 2]) + +np.can_cast(np.dtype("i8"), int) +np.can_cast(AR_f8, "f8") +np.can_cast(AR_f8, np.complex128, casting="unsafe") + +np.min_scalar_type([1]) +np.min_scalar_type(AR_f8) + +np.result_type(int, AR_i4) +np.result_type(AR_f8, AR_u1) +np.result_type(AR_f8, np.complex128) + +np.dot(AR_LIKE_f, AR_i4) +np.dot(AR_u1, 1) +np.dot(1.5j, 1) +np.dot(AR_u1, 1, out=AR_f8) + +np.vdot(AR_LIKE_f, AR_i4) +np.vdot(AR_u1, 1) +np.vdot(1.5j, 1) + +np.bincount(AR_i4) + +np.copyto(AR_f8, [1.6]) + +np.putmask(AR_f8, [True], 1.5) + +np.packbits(AR_i4) +np.packbits(AR_u1) + +np.unpackbits(AR_u1) + +np.shares_memory(1, 2) +np.shares_memory(AR_f8, AR_f8, max_work=-1) + +np.may_share_memory(1, 2) +np.may_share_memory(AR_f8, AR_f8, max_work=0) +np.may_share_memory(AR_f8, AR_f8, max_work=-1) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ndarray_conversion.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ndarray_conversion.py new file mode 100644 index 0000000000000000000000000000000000000000..a4e0bcf34bdd41bc936ee5b38ff58807e471533f --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ndarray_conversion.py @@ -0,0 +1,81 @@ +import os +import tempfile + +import numpy as np + +nd = np.array([[1, 2], [3, 4]]) +scalar_array = np.array(1) + +# item +scalar_array.item() +nd.item(1) +nd.item(0, 1) +nd.item((0, 1)) + +# tobytes +nd.tobytes() +nd.tobytes("C") +nd.tobytes(None) + +# tofile +if os.name != "nt": + with tempfile.NamedTemporaryFile(suffix=".txt") as tmp: + nd.tofile(tmp.name) + nd.tofile(tmp.name, "") + nd.tofile(tmp.name, sep="") + + nd.tofile(tmp.name, "", "%s") + nd.tofile(tmp.name, format="%s") + + nd.tofile(tmp) + +# dump is pretty simple +# dumps is pretty simple + +# astype +nd.astype("float") +nd.astype(float) + +nd.astype(float, "K") +nd.astype(float, order="K") + +nd.astype(float, "K", "unsafe") +nd.astype(float, casting="unsafe") + +nd.astype(float, "K", "unsafe", True) +nd.astype(float, subok=True) + +nd.astype(float, "K", "unsafe", True, True) +nd.astype(float, copy=True) + +# byteswap +nd.byteswap() +nd.byteswap(True) + +# copy +nd.copy() +nd.copy("C") + +# view +nd.view() +nd.view(np.int64) +nd.view(dtype=np.int64) +nd.view(np.int64, np.matrix) +nd.view(type=np.matrix) + +# getfield +complex_array = np.array([[1 + 1j, 0], [0, 1 - 1j]], dtype=np.complex128) + +complex_array.getfield("float") +complex_array.getfield(float) + +complex_array.getfield("float", 8) +complex_array.getfield(float, offset=8) + +# setflags +nd.setflags() +nd.setflags(write=True) +nd.setflags(write=True, align=True) +nd.setflags(write=True, align=True, uic=False) + +# fill is pretty simple diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ndarray_misc.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ndarray_misc.py new file mode 100644 index 0000000000000000000000000000000000000000..3437338ec7d1dafafed79278cffb642cdb1c2c2f --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ndarray_misc.py @@ -0,0 +1,199 @@ +""" +Tests for miscellaneous (non-magic) ``np.ndarray``/``np.generic`` methods. + +More extensive tests are performed for the methods' +function-based counterpart in `../from_numeric.py`. + +""" + +from __future__ import annotations + +import operator +from collections.abc import Hashable +from typing import Any, cast + +import numpy as np +import numpy.typing as npt + + +class SubClass(npt.NDArray[np.float64]): ... +class IntSubClass(npt.NDArray[np.intp]): ... + + +i4 = np.int32(1) +A: np.ndarray[Any, np.dtype[np.int32]] = np.array([[1]], dtype=np.int32) +B0 = np.empty((), dtype=np.int32).view(SubClass) +B1 = np.empty((1,), dtype=np.int32).view(SubClass) +B2 = np.empty((1, 1), dtype=np.int32).view(SubClass) +B_int0: IntSubClass = np.empty((), dtype=np.intp).view(IntSubClass) +C: np.ndarray[Any, np.dtype[np.int32]] = np.array([0, 1, 2], dtype=np.int32) +D = np.ones(3).view(SubClass) + +ctypes_obj = A.ctypes + +i4.all() +A.all() +A.all(axis=0) +A.all(keepdims=True) +A.all(out=B0) + +i4.any() +A.any() +A.any(axis=0) +A.any(keepdims=True) +A.any(out=B0) + +i4.argmax() +A.argmax() +A.argmax(axis=0) +A.argmax(out=B_int0) + +i4.argmin() +A.argmin() +A.argmin(axis=0) +A.argmin(out=B_int0) + +i4.argsort() +i4.argsort(stable=True) +A.argsort() +A.argsort(stable=True) + +A.sort() +A.sort(stable=True) + +i4.choose([()]) +_choices = np.array([[0, 1, 2], [3, 4, 5], [6, 7, 8]], dtype=np.int32) +C.choose(_choices) +C.choose(_choices, out=D) + +i4.clip(1) +A.clip(1) +A.clip(None, 1) +A.clip(1, out=B2) +A.clip(None, 1, out=B2) + +i4.compress([1]) +A.compress([1]) +A.compress([1], out=B1) + +i4.conj() +A.conj() +B0.conj() + +i4.conjugate() +A.conjugate() +B0.conjugate() + +i4.cumprod() +A.cumprod() +A.cumprod(out=B1) + +i4.cumsum() +A.cumsum() +A.cumsum(out=B1) + +i4.max() +A.max() +A.max(axis=0) +A.max(keepdims=True) +A.max(out=B0) + +i4.mean() +A.mean() +A.mean(axis=0) +A.mean(keepdims=True) +A.mean(out=B0) + +i4.min() +A.min() +A.min(axis=0) +A.min(keepdims=True) +A.min(out=B0) + +i4.prod() +A.prod() +A.prod(axis=0) +A.prod(keepdims=True) +A.prod(out=B0) + +i4.round() +A.round() +A.round(out=B2) + +i4.repeat(1) +A.repeat(1) +B0.repeat(1) + +i4.std() +A.std() +A.std(axis=0) +A.std(keepdims=True, mean=0.) +A.std(out=B0.astype(np.float64)) + +i4.sum() +A.sum() +A.sum(axis=0) +A.sum(keepdims=True) +A.sum(out=B0) + +i4.take(0) +A.take(0) +A.take([0]) +A.take(0, out=B0) +A.take([0], out=B1) + +i4.var() +A.var() +A.var(axis=0) +A.var(keepdims=True, mean=0.) +A.var(out=B0) + +A.argpartition([0]) + +A.diagonal() + +A.dot(1) +A.dot(1, out=B2) + +A.nonzero() + +C.searchsorted(1) + +A.trace() +A.trace(out=B0) + +void = cast(np.void, np.array(1, dtype=[("f", np.float64)]).take(0)) +void.setfield(10, np.float64) + +A.item(0) +C.item(0) + +A.ravel() +C.ravel() + +A.flatten() +C.flatten() + +A.reshape(1) +C.reshape(3) + +int(np.array(1.0, dtype=np.float64)) +int(np.array("1", dtype=np.str_)) + +float(np.array(1.0, dtype=np.float64)) +float(np.array("1", dtype=np.str_)) + +complex(np.array(1.0, dtype=np.float64)) + +operator.index(np.array(1, dtype=np.int64)) + +# this fails on numpy 2.2.1 +# https://github.com/scipy/scipy/blob/a755ee77ec47a64849abe42c349936475a6c2f24/scipy/io/arff/tests/test_arffread.py#L41-L44 +A_float = np.array([[1, 5], [2, 4], [np.nan, np.nan]]) +A_void: npt.NDArray[np.void] = np.empty(3, [("yop", float), ("yap", float)]) +A_void["yop"] = A_float[:, 0] +A_void["yap"] = A_float[:, 1] + +# regression test for https://github.com/numpy/numpy/issues/30445 +def f(x: np.generic) -> Hashable: + return x diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ndarray_shape_manipulation.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ndarray_shape_manipulation.py new file mode 100644 index 0000000000000000000000000000000000000000..0ca3dff392e12a4122740ade2ceb71b3d6e7bb08 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ndarray_shape_manipulation.py @@ -0,0 +1,47 @@ +import numpy as np + +nd1 = np.array([[1, 2], [3, 4]]) + +# reshape +nd1.reshape(4) +nd1.reshape(2, 2) +nd1.reshape((2, 2)) + +nd1.reshape((2, 2), order="C") +nd1.reshape(4, order="C") + +# resize +nd1.resize() +nd1.resize(4) +nd1.resize(2, 2) +nd1.resize((2, 2)) + +nd1.resize((2, 2), refcheck=True) +nd1.resize(4, refcheck=True) + +nd2 = np.array([[1, 2], [3, 4]]) + +# transpose +nd2.transpose() +nd2.transpose(1, 0) +nd2.transpose((1, 0)) + +# swapaxes +nd2.swapaxes(0, 1) + +# flatten +nd2.flatten() +nd2.flatten("C") + +# ravel +nd2.ravel() +nd2.ravel("C") + +# squeeze +nd2.squeeze() + +nd3 = np.array([[1, 2]]) +nd3.squeeze(0) + +nd4 = np.array([[[1, 2]]]) +nd4.squeeze((0, 1)) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/nditer.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/nditer.py new file mode 100644 index 0000000000000000000000000000000000000000..25a5b44d7aecf6486be76ae0dca0e3e8ef60699b --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/nditer.py @@ -0,0 +1,4 @@ +import numpy as np + +arr = np.array([1]) +np.nditer([arr, None]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/numeric.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/numeric.py new file mode 100644 index 0000000000000000000000000000000000000000..825a6dd74f34e33f0a29f7e42b9f48abf6d2d9a7 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/numeric.py @@ -0,0 +1,90 @@ +""" +Tests for :mod:`numpy._core.numeric`. + +Does not include tests which fall under ``array_constructors``. +""" + +from typing import Any + +import numpy as np + + +class SubClass(np.ndarray[tuple[Any, ...], np.dtype[np.float64]]): ... + + +i8 = np.int64(1) + +A = np.arange(27).reshape(3, 3, 3) +B = A.tolist() +C = np.empty((27, 27)).view(SubClass) + +np.count_nonzero(i8) +np.count_nonzero(A) +np.count_nonzero(B) +np.count_nonzero(A, keepdims=True) +np.count_nonzero(A, axis=0) + +np.isfortran(i8) +np.isfortran(A) + +np.argwhere(i8) +np.argwhere(A) + +np.flatnonzero(i8) +np.flatnonzero(A) + +np.correlate(B[0][0], A.ravel(), mode="valid") +np.correlate(A.ravel(), A.ravel(), mode="same") + +np.convolve(B[0][0], A.ravel(), mode="valid") +np.convolve(A.ravel(), A.ravel(), mode="same") + +np.outer(i8, A) +np.outer(B, A) +np.outer(A, A) +np.outer(A, A, out=C) + +np.tensordot(B, A) +np.tensordot(A, A) +np.tensordot(A, A, axes=0) +np.tensordot(A, A, axes=(0, 1)) + +np.isscalar(i8) +np.isscalar(A) +np.isscalar(B) + +np.roll(A, 1) +np.roll(A, (1, 2)) +np.roll(B, 1) + +np.rollaxis(A, 0, 1) + +np.moveaxis(A, 0, 1) +np.moveaxis(A, (0, 1), (1, 2)) + +np.cross(B, A) +np.cross(A, A) + +np.indices([0, 1, 2]) +np.indices([0, 1, 2], sparse=False) +np.indices([0, 1, 2], sparse=True) + +np.binary_repr(1) + +np.base_repr(1) + +np.allclose(i8, A) +np.allclose(B, A) +np.allclose(A, A) + +np.isclose(i8, A) +np.isclose(B, A) +np.isclose(A, A) + +np.array_equal(i8, A) +np.array_equal(B, A) +np.array_equal(A, A) + +np.array_equiv(i8, A) +np.array_equiv(B, A) +np.array_equiv(A, A) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/numerictypes.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/numerictypes.py new file mode 100644 index 0000000000000000000000000000000000000000..24e1a9986d88ab320bdfab54a050ed27aec4d8b5 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/numerictypes.py @@ -0,0 +1,17 @@ +import numpy as np + +np.isdtype(np.float64, (np.int64, np.float64)) +np.isdtype(np.int64, "signed integer") + +np.issubdtype("S1", np.bytes_) +np.issubdtype(np.float64, np.float32) + +np.ScalarType +np.ScalarType[0] +np.ScalarType[3] +np.ScalarType[8] +np.ScalarType[10] + +np.typecodes["Character"] +np.typecodes["Complex"] +np.typecodes["All"] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/random.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/random.py new file mode 100644 index 0000000000000000000000000000000000000000..fd07e378e553015d0432fbec3db43f5342e5915e --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/random.py @@ -0,0 +1,1498 @@ +from __future__ import annotations + +from typing import Any + +import numpy as np + +SEED_NONE = None +SEED_INT = 4579435749574957634658964293569 +SEED_ARR: np.ndarray[Any, np.dtype[np.int64]] = np.array([1, 2, 3, 4], dtype=np.int64) +SEED_ARRLIKE: list[int] = [1, 2, 3, 4] +SEED_SEED_SEQ: np.random.SeedSequence = np.random.SeedSequence(0) +SEED_MT19937: np.random.MT19937 = np.random.MT19937(0) +SEED_PCG64: np.random.PCG64 = np.random.PCG64(0) +SEED_PHILOX: np.random.Philox = np.random.Philox(0) +SEED_SFC64: np.random.SFC64 = np.random.SFC64(0) + +# default rng +np.random.default_rng() +np.random.default_rng(SEED_NONE) +np.random.default_rng(SEED_INT) +np.random.default_rng(SEED_ARR) +np.random.default_rng(SEED_ARRLIKE) +np.random.default_rng(SEED_SEED_SEQ) +np.random.default_rng(SEED_MT19937) +np.random.default_rng(SEED_PCG64) +np.random.default_rng(SEED_PHILOX) +np.random.default_rng(SEED_SFC64) + +# Seed Sequence +np.random.SeedSequence(SEED_NONE) +np.random.SeedSequence(SEED_INT) +np.random.SeedSequence(SEED_ARR) +np.random.SeedSequence(SEED_ARRLIKE) + +# Bit Generators +np.random.MT19937(SEED_NONE) +np.random.MT19937(SEED_INT) +np.random.MT19937(SEED_ARR) +np.random.MT19937(SEED_ARRLIKE) +np.random.MT19937(SEED_SEED_SEQ) + +np.random.PCG64(SEED_NONE) +np.random.PCG64(SEED_INT) +np.random.PCG64(SEED_ARR) +np.random.PCG64(SEED_ARRLIKE) +np.random.PCG64(SEED_SEED_SEQ) + +np.random.Philox(SEED_NONE) +np.random.Philox(SEED_INT) +np.random.Philox(SEED_ARR) +np.random.Philox(SEED_ARRLIKE) +np.random.Philox(SEED_SEED_SEQ) + +np.random.SFC64(SEED_NONE) +np.random.SFC64(SEED_INT) +np.random.SFC64(SEED_ARR) +np.random.SFC64(SEED_ARRLIKE) +np.random.SFC64(SEED_SEED_SEQ) + +seed_seq: np.random.bit_generator.SeedSequence = np.random.SeedSequence(SEED_NONE) +seed_seq.spawn(10) +seed_seq.generate_state(3) +seed_seq.generate_state(3, "u4") +seed_seq.generate_state(3, "uint32") +seed_seq.generate_state(3, "u8") +seed_seq.generate_state(3, "uint64") +seed_seq.generate_state(3, np.uint32) +seed_seq.generate_state(3, np.uint64) + + +def_gen: np.random.Generator = np.random.default_rng() + +D_arr_0p1: np.ndarray[Any, np.dtype[np.float64]] = np.array([0.1]) +D_arr_0p5: np.ndarray[Any, np.dtype[np.float64]] = np.array([0.5]) +D_arr_0p9: np.ndarray[Any, np.dtype[np.float64]] = np.array([0.9]) +D_arr_1p5: np.ndarray[Any, np.dtype[np.float64]] = np.array([1.5]) +I_arr_10: np.ndarray[Any, np.dtype[np.int_]] = np.array([10], dtype=np.int_) +I_arr_20: np.ndarray[Any, np.dtype[np.int_]] = np.array([20], dtype=np.int_) +D_arr_like_0p1: list[float] = [0.1] +D_arr_like_0p5: list[float] = [0.5] +D_arr_like_0p9: list[float] = [0.9] +D_arr_like_1p5: list[float] = [1.5] +I_arr_like_10: list[int] = [10] +I_arr_like_20: list[int] = [20] +D_2D_like: list[list[float]] = [[1, 2], [2, 3], [3, 4], [4, 5.1]] +D_2D: np.ndarray[Any, np.dtype[np.float64]] = np.array(D_2D_like) + +S_out: np.ndarray[Any, np.dtype[np.float32]] = np.empty(1, dtype=np.float32) +D_out: np.ndarray[Any, np.dtype[np.float64]] = np.empty(1) + +def_gen.standard_normal() +def_gen.standard_normal(dtype=np.float32) +def_gen.standard_normal(dtype="float32") +def_gen.standard_normal(dtype="double") +def_gen.standard_normal(dtype=np.float64) +def_gen.standard_normal(size=None) +def_gen.standard_normal(size=1) +def_gen.standard_normal(size=1, dtype=np.float32) +def_gen.standard_normal(size=1, dtype="f4") +def_gen.standard_normal(size=1, dtype="float32", out=S_out) +def_gen.standard_normal(dtype=np.float32, out=S_out) +def_gen.standard_normal(size=1, dtype=np.float64) +def_gen.standard_normal(size=1, dtype="float64") +def_gen.standard_normal(size=1, dtype="f8") +def_gen.standard_normal(out=D_out) +def_gen.standard_normal(size=1, dtype="float64") +def_gen.standard_normal(size=1, dtype="float64", out=D_out) + +def_gen.random() +def_gen.random(dtype=np.float32) +def_gen.random(dtype="float32") +def_gen.random(dtype="double") +def_gen.random(dtype=np.float64) +def_gen.random(size=None) +def_gen.random(size=1) +def_gen.random(size=1, dtype=np.float32) +def_gen.random(size=1, dtype="f4") +def_gen.random(size=1, dtype="float32", out=S_out) +def_gen.random(dtype=np.float32, out=S_out) +def_gen.random(size=1, dtype=np.float64) +def_gen.random(size=1, dtype="float64") +def_gen.random(size=1, dtype="f8") +def_gen.random(out=D_out) +def_gen.random(size=1, dtype="float64") +def_gen.random(size=1, dtype="float64", out=D_out) + +def_gen.standard_cauchy() +def_gen.standard_cauchy(size=None) +def_gen.standard_cauchy(size=1) + +def_gen.standard_exponential() +def_gen.standard_exponential(method="inv") +def_gen.standard_exponential(dtype=np.float32) +def_gen.standard_exponential(dtype="float32") +def_gen.standard_exponential(dtype="double") +def_gen.standard_exponential(dtype=np.float64) +def_gen.standard_exponential(size=None) +def_gen.standard_exponential(size=None, method="inv") +def_gen.standard_exponential(size=1, method="inv") +def_gen.standard_exponential(size=1, dtype=np.float32) +def_gen.standard_exponential(size=1, dtype="f4", method="inv") +def_gen.standard_exponential(size=1, dtype="float32", out=S_out) +def_gen.standard_exponential(dtype=np.float32, out=S_out) +def_gen.standard_exponential(size=1, dtype=np.float64, method="inv") +def_gen.standard_exponential(size=1, dtype="float64") +def_gen.standard_exponential(size=1, dtype="f8") +def_gen.standard_exponential(out=D_out) +def_gen.standard_exponential(size=1, dtype="float64") +def_gen.standard_exponential(size=1, dtype="float64", out=D_out) + +def_gen.zipf(1.5) +def_gen.zipf(1.5, size=None) +def_gen.zipf(1.5, size=1) +def_gen.zipf(D_arr_1p5) +def_gen.zipf(D_arr_1p5, size=1) +def_gen.zipf(D_arr_like_1p5) +def_gen.zipf(D_arr_like_1p5, size=1) + +def_gen.weibull(0.5) +def_gen.weibull(0.5, size=None) +def_gen.weibull(0.5, size=1) +def_gen.weibull(D_arr_0p5) +def_gen.weibull(D_arr_0p5, size=1) +def_gen.weibull(D_arr_like_0p5) +def_gen.weibull(D_arr_like_0p5, size=1) + +def_gen.standard_t(0.5) +def_gen.standard_t(0.5, size=None) +def_gen.standard_t(0.5, size=1) +def_gen.standard_t(D_arr_0p5) +def_gen.standard_t(D_arr_0p5, size=1) +def_gen.standard_t(D_arr_like_0p5) +def_gen.standard_t(D_arr_like_0p5, size=1) + +def_gen.poisson(0.5) +def_gen.poisson(0.5, size=None) +def_gen.poisson(0.5, size=1) +def_gen.poisson(D_arr_0p5) +def_gen.poisson(D_arr_0p5, size=1) +def_gen.poisson(D_arr_like_0p5) +def_gen.poisson(D_arr_like_0p5, size=1) + +def_gen.power(0.5) +def_gen.power(0.5, size=None) +def_gen.power(0.5, size=1) +def_gen.power(D_arr_0p5) +def_gen.power(D_arr_0p5, size=1) +def_gen.power(D_arr_like_0p5) +def_gen.power(D_arr_like_0p5, size=1) + +def_gen.pareto(0.5) +def_gen.pareto(0.5, size=None) +def_gen.pareto(0.5, size=1) +def_gen.pareto(D_arr_0p5) +def_gen.pareto(D_arr_0p5, size=1) +def_gen.pareto(D_arr_like_0p5) +def_gen.pareto(D_arr_like_0p5, size=1) + +def_gen.chisquare(0.5) +def_gen.chisquare(0.5, size=None) +def_gen.chisquare(0.5, size=1) +def_gen.chisquare(D_arr_0p5) +def_gen.chisquare(D_arr_0p5, size=1) +def_gen.chisquare(D_arr_like_0p5) +def_gen.chisquare(D_arr_like_0p5, size=1) + +def_gen.exponential(0.5) +def_gen.exponential(0.5, size=None) +def_gen.exponential(0.5, size=1) +def_gen.exponential(D_arr_0p5) +def_gen.exponential(D_arr_0p5, size=1) +def_gen.exponential(D_arr_like_0p5) +def_gen.exponential(D_arr_like_0p5, size=1) + +def_gen.geometric(0.5) +def_gen.geometric(0.5, size=None) +def_gen.geometric(0.5, size=1) +def_gen.geometric(D_arr_0p5) +def_gen.geometric(D_arr_0p5, size=1) +def_gen.geometric(D_arr_like_0p5) +def_gen.geometric(D_arr_like_0p5, size=1) + +def_gen.logseries(0.5) +def_gen.logseries(0.5, size=None) +def_gen.logseries(0.5, size=1) +def_gen.logseries(D_arr_0p5) +def_gen.logseries(D_arr_0p5, size=1) +def_gen.logseries(D_arr_like_0p5) +def_gen.logseries(D_arr_like_0p5, size=1) + +def_gen.rayleigh(0.5) +def_gen.rayleigh(0.5, size=None) +def_gen.rayleigh(0.5, size=1) +def_gen.rayleigh(D_arr_0p5) +def_gen.rayleigh(D_arr_0p5, size=1) +def_gen.rayleigh(D_arr_like_0p5) +def_gen.rayleigh(D_arr_like_0p5, size=1) + +def_gen.standard_gamma(0.5) +def_gen.standard_gamma(0.5, size=None) +def_gen.standard_gamma(0.5, dtype="float32") +def_gen.standard_gamma(0.5, size=None, dtype="float32") +def_gen.standard_gamma(0.5, size=1) +def_gen.standard_gamma(D_arr_0p5) +def_gen.standard_gamma(D_arr_0p5, dtype="f4") +def_gen.standard_gamma(0.5, size=1, dtype="float32", out=S_out) +def_gen.standard_gamma(D_arr_0p5, dtype=np.float32, out=S_out) +def_gen.standard_gamma(D_arr_0p5, size=1) +def_gen.standard_gamma(D_arr_like_0p5) +def_gen.standard_gamma(D_arr_like_0p5, size=1) +def_gen.standard_gamma(0.5, out=D_out) +def_gen.standard_gamma(D_arr_like_0p5, out=D_out) +def_gen.standard_gamma(D_arr_like_0p5, size=1) +def_gen.standard_gamma(D_arr_like_0p5, size=1, out=D_out, dtype=np.float64) + +def_gen.vonmises(0.5, 0.5) +def_gen.vonmises(0.5, 0.5, size=None) +def_gen.vonmises(0.5, 0.5, size=1) +def_gen.vonmises(D_arr_0p5, 0.5) +def_gen.vonmises(0.5, D_arr_0p5) +def_gen.vonmises(D_arr_0p5, 0.5, size=1) +def_gen.vonmises(0.5, D_arr_0p5, size=1) +def_gen.vonmises(D_arr_like_0p5, 0.5) +def_gen.vonmises(0.5, D_arr_like_0p5) +def_gen.vonmises(D_arr_0p5, D_arr_0p5) +def_gen.vonmises(D_arr_like_0p5, D_arr_like_0p5) +def_gen.vonmises(D_arr_0p5, D_arr_0p5, size=1) +def_gen.vonmises(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.wald(0.5, 0.5) +def_gen.wald(0.5, 0.5, size=None) +def_gen.wald(0.5, 0.5, size=1) +def_gen.wald(D_arr_0p5, 0.5) +def_gen.wald(0.5, D_arr_0p5) +def_gen.wald(D_arr_0p5, 0.5, size=1) +def_gen.wald(0.5, D_arr_0p5, size=1) +def_gen.wald(D_arr_like_0p5, 0.5) +def_gen.wald(0.5, D_arr_like_0p5) +def_gen.wald(D_arr_0p5, D_arr_0p5) +def_gen.wald(D_arr_like_0p5, D_arr_like_0p5) +def_gen.wald(D_arr_0p5, D_arr_0p5, size=1) +def_gen.wald(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.uniform(0.5, 0.5) +def_gen.uniform(0.5, 0.5, size=None) +def_gen.uniform(0.5, 0.5, size=1) +def_gen.uniform(D_arr_0p5, 0.5) +def_gen.uniform(0.5, D_arr_0p5) +def_gen.uniform(D_arr_0p5, 0.5, size=1) +def_gen.uniform(0.5, D_arr_0p5, size=1) +def_gen.uniform(D_arr_like_0p5, 0.5) +def_gen.uniform(0.5, D_arr_like_0p5) +def_gen.uniform(D_arr_0p5, D_arr_0p5) +def_gen.uniform(D_arr_like_0p5, D_arr_like_0p5) +def_gen.uniform(D_arr_0p5, D_arr_0p5, size=1) +def_gen.uniform(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.beta(0.5, 0.5) +def_gen.beta(0.5, 0.5, size=None) +def_gen.beta(0.5, 0.5, size=1) +def_gen.beta(D_arr_0p5, 0.5) +def_gen.beta(0.5, D_arr_0p5) +def_gen.beta(D_arr_0p5, 0.5, size=1) +def_gen.beta(0.5, D_arr_0p5, size=1) +def_gen.beta(D_arr_like_0p5, 0.5) +def_gen.beta(0.5, D_arr_like_0p5) +def_gen.beta(D_arr_0p5, D_arr_0p5) +def_gen.beta(D_arr_like_0p5, D_arr_like_0p5) +def_gen.beta(D_arr_0p5, D_arr_0p5, size=1) +def_gen.beta(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.f(0.5, 0.5) +def_gen.f(0.5, 0.5, size=None) +def_gen.f(0.5, 0.5, size=1) +def_gen.f(D_arr_0p5, 0.5) +def_gen.f(0.5, D_arr_0p5) +def_gen.f(D_arr_0p5, 0.5, size=1) +def_gen.f(0.5, D_arr_0p5, size=1) +def_gen.f(D_arr_like_0p5, 0.5) +def_gen.f(0.5, D_arr_like_0p5) +def_gen.f(D_arr_0p5, D_arr_0p5) +def_gen.f(D_arr_like_0p5, D_arr_like_0p5) +def_gen.f(D_arr_0p5, D_arr_0p5, size=1) +def_gen.f(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.gamma(0.5, 0.5) +def_gen.gamma(0.5, 0.5, size=None) +def_gen.gamma(0.5, 0.5, size=1) +def_gen.gamma(D_arr_0p5, 0.5) +def_gen.gamma(0.5, D_arr_0p5) +def_gen.gamma(D_arr_0p5, 0.5, size=1) +def_gen.gamma(0.5, D_arr_0p5, size=1) +def_gen.gamma(D_arr_like_0p5, 0.5) +def_gen.gamma(0.5, D_arr_like_0p5) +def_gen.gamma(D_arr_0p5, D_arr_0p5) +def_gen.gamma(D_arr_like_0p5, D_arr_like_0p5) +def_gen.gamma(D_arr_0p5, D_arr_0p5, size=1) +def_gen.gamma(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.gumbel(0.5, 0.5) +def_gen.gumbel(0.5, 0.5, size=None) +def_gen.gumbel(0.5, 0.5, size=1) +def_gen.gumbel(D_arr_0p5, 0.5) +def_gen.gumbel(0.5, D_arr_0p5) +def_gen.gumbel(D_arr_0p5, 0.5, size=1) +def_gen.gumbel(0.5, D_arr_0p5, size=1) +def_gen.gumbel(D_arr_like_0p5, 0.5) +def_gen.gumbel(0.5, D_arr_like_0p5) +def_gen.gumbel(D_arr_0p5, D_arr_0p5) +def_gen.gumbel(D_arr_like_0p5, D_arr_like_0p5) +def_gen.gumbel(D_arr_0p5, D_arr_0p5, size=1) +def_gen.gumbel(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.laplace(0.5, 0.5) +def_gen.laplace(0.5, 0.5, size=None) +def_gen.laplace(0.5, 0.5, size=1) +def_gen.laplace(D_arr_0p5, 0.5) +def_gen.laplace(0.5, D_arr_0p5) +def_gen.laplace(D_arr_0p5, 0.5, size=1) +def_gen.laplace(0.5, D_arr_0p5, size=1) +def_gen.laplace(D_arr_like_0p5, 0.5) +def_gen.laplace(0.5, D_arr_like_0p5) +def_gen.laplace(D_arr_0p5, D_arr_0p5) +def_gen.laplace(D_arr_like_0p5, D_arr_like_0p5) +def_gen.laplace(D_arr_0p5, D_arr_0p5, size=1) +def_gen.laplace(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.logistic(0.5, 0.5) +def_gen.logistic(0.5, 0.5, size=None) +def_gen.logistic(0.5, 0.5, size=1) +def_gen.logistic(D_arr_0p5, 0.5) +def_gen.logistic(0.5, D_arr_0p5) +def_gen.logistic(D_arr_0p5, 0.5, size=1) +def_gen.logistic(0.5, D_arr_0p5, size=1) +def_gen.logistic(D_arr_like_0p5, 0.5) +def_gen.logistic(0.5, D_arr_like_0p5) +def_gen.logistic(D_arr_0p5, D_arr_0p5) +def_gen.logistic(D_arr_like_0p5, D_arr_like_0p5) +def_gen.logistic(D_arr_0p5, D_arr_0p5, size=1) +def_gen.logistic(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.lognormal(0.5, 0.5) +def_gen.lognormal(0.5, 0.5, size=None) +def_gen.lognormal(0.5, 0.5, size=1) +def_gen.lognormal(D_arr_0p5, 0.5) +def_gen.lognormal(0.5, D_arr_0p5) +def_gen.lognormal(D_arr_0p5, 0.5, size=1) +def_gen.lognormal(0.5, D_arr_0p5, size=1) +def_gen.lognormal(D_arr_like_0p5, 0.5) +def_gen.lognormal(0.5, D_arr_like_0p5) +def_gen.lognormal(D_arr_0p5, D_arr_0p5) +def_gen.lognormal(D_arr_like_0p5, D_arr_like_0p5) +def_gen.lognormal(D_arr_0p5, D_arr_0p5, size=1) +def_gen.lognormal(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.noncentral_chisquare(0.5, 0.5) +def_gen.noncentral_chisquare(0.5, 0.5, size=None) +def_gen.noncentral_chisquare(0.5, 0.5, size=1) +def_gen.noncentral_chisquare(D_arr_0p5, 0.5) +def_gen.noncentral_chisquare(0.5, D_arr_0p5) +def_gen.noncentral_chisquare(D_arr_0p5, 0.5, size=1) +def_gen.noncentral_chisquare(0.5, D_arr_0p5, size=1) +def_gen.noncentral_chisquare(D_arr_like_0p5, 0.5) +def_gen.noncentral_chisquare(0.5, D_arr_like_0p5) +def_gen.noncentral_chisquare(D_arr_0p5, D_arr_0p5) +def_gen.noncentral_chisquare(D_arr_like_0p5, D_arr_like_0p5) +def_gen.noncentral_chisquare(D_arr_0p5, D_arr_0p5, size=1) +def_gen.noncentral_chisquare(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.normal(0.5, 0.5) +def_gen.normal(0.5, 0.5, size=None) +def_gen.normal(0.5, 0.5, size=1) +def_gen.normal(D_arr_0p5, 0.5) +def_gen.normal(0.5, D_arr_0p5) +def_gen.normal(D_arr_0p5, 0.5, size=1) +def_gen.normal(0.5, D_arr_0p5, size=1) +def_gen.normal(D_arr_like_0p5, 0.5) +def_gen.normal(0.5, D_arr_like_0p5) +def_gen.normal(D_arr_0p5, D_arr_0p5) +def_gen.normal(D_arr_like_0p5, D_arr_like_0p5) +def_gen.normal(D_arr_0p5, D_arr_0p5, size=1) +def_gen.normal(D_arr_like_0p5, D_arr_like_0p5, size=1) + +def_gen.triangular(0.1, 0.5, 0.9) +def_gen.triangular(0.1, 0.5, 0.9, size=None) +def_gen.triangular(0.1, 0.5, 0.9, size=1) +def_gen.triangular(D_arr_0p1, 0.5, 0.9) +def_gen.triangular(0.1, D_arr_0p5, 0.9) +def_gen.triangular(D_arr_0p1, 0.5, D_arr_like_0p9, size=1) +def_gen.triangular(0.1, D_arr_0p5, 0.9, size=1) +def_gen.triangular(D_arr_like_0p1, 0.5, D_arr_0p9) +def_gen.triangular(0.5, D_arr_like_0p5, 0.9) +def_gen.triangular(D_arr_0p1, D_arr_0p5, 0.9) +def_gen.triangular(D_arr_like_0p1, D_arr_like_0p5, 0.9) +def_gen.triangular(D_arr_0p1, D_arr_0p5, D_arr_0p9, size=1) +def_gen.triangular(D_arr_like_0p1, D_arr_like_0p5, D_arr_like_0p9, size=1) + +def_gen.noncentral_f(0.1, 0.5, 0.9) +def_gen.noncentral_f(0.1, 0.5, 0.9, size=None) +def_gen.noncentral_f(0.1, 0.5, 0.9, size=1) +def_gen.noncentral_f(D_arr_0p1, 0.5, 0.9) +def_gen.noncentral_f(0.1, D_arr_0p5, 0.9) +def_gen.noncentral_f(D_arr_0p1, 0.5, D_arr_like_0p9, size=1) +def_gen.noncentral_f(0.1, D_arr_0p5, 0.9, size=1) +def_gen.noncentral_f(D_arr_like_0p1, 0.5, D_arr_0p9) +def_gen.noncentral_f(0.5, D_arr_like_0p5, 0.9) +def_gen.noncentral_f(D_arr_0p1, D_arr_0p5, 0.9) +def_gen.noncentral_f(D_arr_like_0p1, D_arr_like_0p5, 0.9) +def_gen.noncentral_f(D_arr_0p1, D_arr_0p5, D_arr_0p9, size=1) +def_gen.noncentral_f(D_arr_like_0p1, D_arr_like_0p5, D_arr_like_0p9, size=1) + +def_gen.binomial(10, 0.5) +def_gen.binomial(10, 0.5, size=None) +def_gen.binomial(10, 0.5, size=1) +def_gen.binomial(I_arr_10, 0.5) +def_gen.binomial(10, D_arr_0p5) +def_gen.binomial(I_arr_10, 0.5, size=1) +def_gen.binomial(10, D_arr_0p5, size=1) +def_gen.binomial(I_arr_like_10, 0.5) +def_gen.binomial(10, D_arr_like_0p5) +def_gen.binomial(I_arr_10, D_arr_0p5) +def_gen.binomial(I_arr_like_10, D_arr_like_0p5) +def_gen.binomial(I_arr_10, D_arr_0p5, size=1) +def_gen.binomial(I_arr_like_10, D_arr_like_0p5, size=1) + +def_gen.negative_binomial(10, 0.5) +def_gen.negative_binomial(10, 0.5, size=None) +def_gen.negative_binomial(10, 0.5, size=1) +def_gen.negative_binomial(I_arr_10, 0.5) +def_gen.negative_binomial(10, D_arr_0p5) +def_gen.negative_binomial(I_arr_10, 0.5, size=1) +def_gen.negative_binomial(10, D_arr_0p5, size=1) +def_gen.negative_binomial(I_arr_like_10, 0.5) +def_gen.negative_binomial(10, D_arr_like_0p5) +def_gen.negative_binomial(I_arr_10, D_arr_0p5) +def_gen.negative_binomial(I_arr_like_10, D_arr_like_0p5) +def_gen.negative_binomial(I_arr_10, D_arr_0p5, size=1) +def_gen.negative_binomial(I_arr_like_10, D_arr_like_0p5, size=1) + +def_gen.hypergeometric(20, 20, 10) +def_gen.hypergeometric(20, 20, 10, size=None) +def_gen.hypergeometric(20, 20, 10, size=1) +def_gen.hypergeometric(I_arr_20, 20, 10) +def_gen.hypergeometric(20, I_arr_20, 10) +def_gen.hypergeometric(I_arr_20, 20, I_arr_like_10, size=1) +def_gen.hypergeometric(20, I_arr_20, 10, size=1) +def_gen.hypergeometric(I_arr_like_20, 20, I_arr_10) +def_gen.hypergeometric(20, I_arr_like_20, 10) +def_gen.hypergeometric(I_arr_20, I_arr_20, 10) +def_gen.hypergeometric(I_arr_like_20, I_arr_like_20, 10) +def_gen.hypergeometric(I_arr_20, I_arr_20, I_arr_10, size=1) +def_gen.hypergeometric(I_arr_like_20, I_arr_like_20, I_arr_like_10, size=1) + +I_int64_100: np.ndarray[Any, np.dtype[np.int64]] = np.array([100], dtype=np.int64) + +def_gen.integers(0, 100) +def_gen.integers(100) +def_gen.integers([100]) +def_gen.integers(0, [100]) + +I_bool_low: np.ndarray[Any, np.dtype[np.bool]] = np.array([0], dtype=np.bool) +I_bool_low_like: list[int] = [0] +I_bool_high_open: np.ndarray[Any, np.dtype[np.bool]] = np.array([1], dtype=np.bool) +I_bool_high_closed: np.ndarray[Any, np.dtype[np.bool]] = np.array([1], dtype=np.bool) + +def_gen.integers(2, dtype=bool) +def_gen.integers(0, 2, dtype=bool) +def_gen.integers(1, dtype=bool, endpoint=True) +def_gen.integers(0, 1, dtype=bool, endpoint=True) +def_gen.integers(I_bool_low_like, 1, dtype=bool, endpoint=True) +def_gen.integers(I_bool_high_open, dtype=bool) +def_gen.integers(I_bool_low, I_bool_high_open, dtype=bool) +def_gen.integers(0, I_bool_high_open, dtype=bool) +def_gen.integers(I_bool_high_closed, dtype=bool, endpoint=True) +def_gen.integers(I_bool_low, I_bool_high_closed, dtype=bool, endpoint=True) +def_gen.integers(0, I_bool_high_closed, dtype=bool, endpoint=True) + +def_gen.integers(2, dtype=np.bool) +def_gen.integers(0, 2, dtype=np.bool) +def_gen.integers(1, dtype=np.bool, endpoint=True) +def_gen.integers(0, 1, dtype=np.bool, endpoint=True) +def_gen.integers(I_bool_low_like, 1, dtype=np.bool, endpoint=True) +def_gen.integers(I_bool_high_open, dtype=np.bool) +def_gen.integers(I_bool_low, I_bool_high_open, dtype=np.bool) +def_gen.integers(0, I_bool_high_open, dtype=np.bool) +def_gen.integers(I_bool_high_closed, dtype=np.bool, endpoint=True) +def_gen.integers(I_bool_low, I_bool_high_closed, dtype=np.bool, endpoint=True) +def_gen.integers(0, I_bool_high_closed, dtype=np.bool, endpoint=True) + +I_u1_low: np.ndarray[Any, np.dtype[np.uint8]] = np.array([0], dtype=np.uint8) +I_u1_low_like: list[int] = [0] +I_u1_high_open: np.ndarray[Any, np.dtype[np.uint8]] = np.array([255], dtype=np.uint8) +I_u1_high_closed: np.ndarray[Any, np.dtype[np.uint8]] = np.array([255], dtype=np.uint8) + +def_gen.integers(256, dtype="u1") +def_gen.integers(0, 256, dtype="u1") +def_gen.integers(255, dtype="u1", endpoint=True) +def_gen.integers(0, 255, dtype="u1", endpoint=True) +def_gen.integers(I_u1_low_like, 255, dtype="u1", endpoint=True) +def_gen.integers(I_u1_high_open, dtype="u1") +def_gen.integers(I_u1_low, I_u1_high_open, dtype="u1") +def_gen.integers(0, I_u1_high_open, dtype="u1") +def_gen.integers(I_u1_high_closed, dtype="u1", endpoint=True) +def_gen.integers(I_u1_low, I_u1_high_closed, dtype="u1", endpoint=True) +def_gen.integers(0, I_u1_high_closed, dtype="u1", endpoint=True) + +def_gen.integers(256, dtype="uint8") +def_gen.integers(0, 256, dtype="uint8") +def_gen.integers(255, dtype="uint8", endpoint=True) +def_gen.integers(0, 255, dtype="uint8", endpoint=True) +def_gen.integers(I_u1_low_like, 255, dtype="uint8", endpoint=True) +def_gen.integers(I_u1_high_open, dtype="uint8") +def_gen.integers(I_u1_low, I_u1_high_open, dtype="uint8") +def_gen.integers(0, I_u1_high_open, dtype="uint8") +def_gen.integers(I_u1_high_closed, dtype="uint8", endpoint=True) +def_gen.integers(I_u1_low, I_u1_high_closed, dtype="uint8", endpoint=True) +def_gen.integers(0, I_u1_high_closed, dtype="uint8", endpoint=True) + +def_gen.integers(256, dtype=np.uint8) +def_gen.integers(0, 256, dtype=np.uint8) +def_gen.integers(255, dtype=np.uint8, endpoint=True) +def_gen.integers(0, 255, dtype=np.uint8, endpoint=True) +def_gen.integers(I_u1_low_like, 255, dtype=np.uint8, endpoint=True) +def_gen.integers(I_u1_high_open, dtype=np.uint8) +def_gen.integers(I_u1_low, I_u1_high_open, dtype=np.uint8) +def_gen.integers(0, I_u1_high_open, dtype=np.uint8) +def_gen.integers(I_u1_high_closed, dtype=np.uint8, endpoint=True) +def_gen.integers(I_u1_low, I_u1_high_closed, dtype=np.uint8, endpoint=True) +def_gen.integers(0, I_u1_high_closed, dtype=np.uint8, endpoint=True) + +I_u2_low: np.ndarray[Any, np.dtype[np.uint16]] = np.array([0], dtype=np.uint16) +I_u2_low_like: list[int] = [0] +I_u2_high_open: np.ndarray[Any, np.dtype[np.uint16]] = np.array([65535], dtype=np.uint16) +I_u2_high_closed: np.ndarray[Any, np.dtype[np.uint16]] = np.array([65535], dtype=np.uint16) + +def_gen.integers(65536, dtype="u2") +def_gen.integers(0, 65536, dtype="u2") +def_gen.integers(65535, dtype="u2", endpoint=True) +def_gen.integers(0, 65535, dtype="u2", endpoint=True) +def_gen.integers(I_u2_low_like, 65535, dtype="u2", endpoint=True) +def_gen.integers(I_u2_high_open, dtype="u2") +def_gen.integers(I_u2_low, I_u2_high_open, dtype="u2") +def_gen.integers(0, I_u2_high_open, dtype="u2") +def_gen.integers(I_u2_high_closed, dtype="u2", endpoint=True) +def_gen.integers(I_u2_low, I_u2_high_closed, dtype="u2", endpoint=True) +def_gen.integers(0, I_u2_high_closed, dtype="u2", endpoint=True) + +def_gen.integers(65536, dtype="uint16") +def_gen.integers(0, 65536, dtype="uint16") +def_gen.integers(65535, dtype="uint16", endpoint=True) +def_gen.integers(0, 65535, dtype="uint16", endpoint=True) +def_gen.integers(I_u2_low_like, 65535, dtype="uint16", endpoint=True) +def_gen.integers(I_u2_high_open, dtype="uint16") +def_gen.integers(I_u2_low, I_u2_high_open, dtype="uint16") +def_gen.integers(0, I_u2_high_open, dtype="uint16") +def_gen.integers(I_u2_high_closed, dtype="uint16", endpoint=True) +def_gen.integers(I_u2_low, I_u2_high_closed, dtype="uint16", endpoint=True) +def_gen.integers(0, I_u2_high_closed, dtype="uint16", endpoint=True) + +def_gen.integers(65536, dtype=np.uint16) +def_gen.integers(0, 65536, dtype=np.uint16) +def_gen.integers(65535, dtype=np.uint16, endpoint=True) +def_gen.integers(0, 65535, dtype=np.uint16, endpoint=True) +def_gen.integers(I_u2_low_like, 65535, dtype=np.uint16, endpoint=True) +def_gen.integers(I_u2_high_open, dtype=np.uint16) +def_gen.integers(I_u2_low, I_u2_high_open, dtype=np.uint16) +def_gen.integers(0, I_u2_high_open, dtype=np.uint16) +def_gen.integers(I_u2_high_closed, dtype=np.uint16, endpoint=True) +def_gen.integers(I_u2_low, I_u2_high_closed, dtype=np.uint16, endpoint=True) +def_gen.integers(0, I_u2_high_closed, dtype=np.uint16, endpoint=True) + +I_u4_low: np.ndarray[Any, np.dtype[np.uint32]] = np.array([0], dtype=np.uint32) +I_u4_low_like: list[int] = [0] +I_u4_high_open: np.ndarray[Any, np.dtype[np.uint32]] = np.array([4294967295], dtype=np.uint32) +I_u4_high_closed: np.ndarray[Any, np.dtype[np.uint32]] = np.array([4294967295], dtype=np.uint32) + +def_gen.integers(4294967296, dtype="u4") +def_gen.integers(0, 4294967296, dtype="u4") +def_gen.integers(4294967295, dtype="u4", endpoint=True) +def_gen.integers(0, 4294967295, dtype="u4", endpoint=True) +def_gen.integers(I_u4_low_like, 4294967295, dtype="u4", endpoint=True) +def_gen.integers(I_u4_high_open, dtype="u4") +def_gen.integers(I_u4_low, I_u4_high_open, dtype="u4") +def_gen.integers(0, I_u4_high_open, dtype="u4") +def_gen.integers(I_u4_high_closed, dtype="u4", endpoint=True) +def_gen.integers(I_u4_low, I_u4_high_closed, dtype="u4", endpoint=True) +def_gen.integers(0, I_u4_high_closed, dtype="u4", endpoint=True) + +def_gen.integers(4294967296, dtype="uint32") +def_gen.integers(0, 4294967296, dtype="uint32") +def_gen.integers(4294967295, dtype="uint32", endpoint=True) +def_gen.integers(0, 4294967295, dtype="uint32", endpoint=True) +def_gen.integers(I_u4_low_like, 4294967295, dtype="uint32", endpoint=True) +def_gen.integers(I_u4_high_open, dtype="uint32") +def_gen.integers(I_u4_low, I_u4_high_open, dtype="uint32") +def_gen.integers(0, I_u4_high_open, dtype="uint32") +def_gen.integers(I_u4_high_closed, dtype="uint32", endpoint=True) +def_gen.integers(I_u4_low, I_u4_high_closed, dtype="uint32", endpoint=True) +def_gen.integers(0, I_u4_high_closed, dtype="uint32", endpoint=True) + +def_gen.integers(4294967296, dtype=np.uint32) +def_gen.integers(0, 4294967296, dtype=np.uint32) +def_gen.integers(4294967295, dtype=np.uint32, endpoint=True) +def_gen.integers(0, 4294967295, dtype=np.uint32, endpoint=True) +def_gen.integers(I_u4_low_like, 4294967295, dtype=np.uint32, endpoint=True) +def_gen.integers(I_u4_high_open, dtype=np.uint32) +def_gen.integers(I_u4_low, I_u4_high_open, dtype=np.uint32) +def_gen.integers(0, I_u4_high_open, dtype=np.uint32) +def_gen.integers(I_u4_high_closed, dtype=np.uint32, endpoint=True) +def_gen.integers(I_u4_low, I_u4_high_closed, dtype=np.uint32, endpoint=True) +def_gen.integers(0, I_u4_high_closed, dtype=np.uint32, endpoint=True) + +I_u8_low: np.ndarray[Any, np.dtype[np.uint64]] = np.array([0], dtype=np.uint64) +I_u8_low_like: list[int] = [0] +I_u8_high_open: np.ndarray[Any, np.dtype[np.uint64]] = np.array([18446744073709551615], dtype=np.uint64) +I_u8_high_closed: np.ndarray[Any, np.dtype[np.uint64]] = np.array([18446744073709551615], dtype=np.uint64) + +def_gen.integers(18446744073709551616, dtype="u8") +def_gen.integers(0, 18446744073709551616, dtype="u8") +def_gen.integers(18446744073709551615, dtype="u8", endpoint=True) +def_gen.integers(0, 18446744073709551615, dtype="u8", endpoint=True) +def_gen.integers(I_u8_low_like, 18446744073709551615, dtype="u8", endpoint=True) +def_gen.integers(I_u8_high_open, dtype="u8") +def_gen.integers(I_u8_low, I_u8_high_open, dtype="u8") +def_gen.integers(0, I_u8_high_open, dtype="u8") +def_gen.integers(I_u8_high_closed, dtype="u8", endpoint=True) +def_gen.integers(I_u8_low, I_u8_high_closed, dtype="u8", endpoint=True) +def_gen.integers(0, I_u8_high_closed, dtype="u8", endpoint=True) + +def_gen.integers(18446744073709551616, dtype="uint64") +def_gen.integers(0, 18446744073709551616, dtype="uint64") +def_gen.integers(18446744073709551615, dtype="uint64", endpoint=True) +def_gen.integers(0, 18446744073709551615, dtype="uint64", endpoint=True) +def_gen.integers(I_u8_low_like, 18446744073709551615, dtype="uint64", endpoint=True) +def_gen.integers(I_u8_high_open, dtype="uint64") +def_gen.integers(I_u8_low, I_u8_high_open, dtype="uint64") +def_gen.integers(0, I_u8_high_open, dtype="uint64") +def_gen.integers(I_u8_high_closed, dtype="uint64", endpoint=True) +def_gen.integers(I_u8_low, I_u8_high_closed, dtype="uint64", endpoint=True) +def_gen.integers(0, I_u8_high_closed, dtype="uint64", endpoint=True) + +def_gen.integers(18446744073709551616, dtype=np.uint64) +def_gen.integers(0, 18446744073709551616, dtype=np.uint64) +def_gen.integers(18446744073709551615, dtype=np.uint64, endpoint=True) +def_gen.integers(0, 18446744073709551615, dtype=np.uint64, endpoint=True) +def_gen.integers(I_u8_low_like, 18446744073709551615, dtype=np.uint64, endpoint=True) +def_gen.integers(I_u8_high_open, dtype=np.uint64) +def_gen.integers(I_u8_low, I_u8_high_open, dtype=np.uint64) +def_gen.integers(0, I_u8_high_open, dtype=np.uint64) +def_gen.integers(I_u8_high_closed, dtype=np.uint64, endpoint=True) +def_gen.integers(I_u8_low, I_u8_high_closed, dtype=np.uint64, endpoint=True) +def_gen.integers(0, I_u8_high_closed, dtype=np.uint64, endpoint=True) + +I_i1_low: np.ndarray[Any, np.dtype[np.int8]] = np.array([-128], dtype=np.int8) +I_i1_low_like: list[int] = [-128] +I_i1_high_open: np.ndarray[Any, np.dtype[np.int8]] = np.array([127], dtype=np.int8) +I_i1_high_closed: np.ndarray[Any, np.dtype[np.int8]] = np.array([127], dtype=np.int8) + +def_gen.integers(128, dtype="i1") +def_gen.integers(-128, 128, dtype="i1") +def_gen.integers(127, dtype="i1", endpoint=True) +def_gen.integers(-128, 127, dtype="i1", endpoint=True) +def_gen.integers(I_i1_low_like, 127, dtype="i1", endpoint=True) +def_gen.integers(I_i1_high_open, dtype="i1") +def_gen.integers(I_i1_low, I_i1_high_open, dtype="i1") +def_gen.integers(-128, I_i1_high_open, dtype="i1") +def_gen.integers(I_i1_high_closed, dtype="i1", endpoint=True) +def_gen.integers(I_i1_low, I_i1_high_closed, dtype="i1", endpoint=True) +def_gen.integers(-128, I_i1_high_closed, dtype="i1", endpoint=True) + +def_gen.integers(128, dtype="int8") +def_gen.integers(-128, 128, dtype="int8") +def_gen.integers(127, dtype="int8", endpoint=True) +def_gen.integers(-128, 127, dtype="int8", endpoint=True) +def_gen.integers(I_i1_low_like, 127, dtype="int8", endpoint=True) +def_gen.integers(I_i1_high_open, dtype="int8") +def_gen.integers(I_i1_low, I_i1_high_open, dtype="int8") +def_gen.integers(-128, I_i1_high_open, dtype="int8") +def_gen.integers(I_i1_high_closed, dtype="int8", endpoint=True) +def_gen.integers(I_i1_low, I_i1_high_closed, dtype="int8", endpoint=True) +def_gen.integers(-128, I_i1_high_closed, dtype="int8", endpoint=True) + +def_gen.integers(128, dtype=np.int8) +def_gen.integers(-128, 128, dtype=np.int8) +def_gen.integers(127, dtype=np.int8, endpoint=True) +def_gen.integers(-128, 127, dtype=np.int8, endpoint=True) +def_gen.integers(I_i1_low_like, 127, dtype=np.int8, endpoint=True) +def_gen.integers(I_i1_high_open, dtype=np.int8) +def_gen.integers(I_i1_low, I_i1_high_open, dtype=np.int8) +def_gen.integers(-128, I_i1_high_open, dtype=np.int8) +def_gen.integers(I_i1_high_closed, dtype=np.int8, endpoint=True) +def_gen.integers(I_i1_low, I_i1_high_closed, dtype=np.int8, endpoint=True) +def_gen.integers(-128, I_i1_high_closed, dtype=np.int8, endpoint=True) + +I_i2_low: np.ndarray[Any, np.dtype[np.int16]] = np.array([-32768], dtype=np.int16) +I_i2_low_like: list[int] = [-32768] +I_i2_high_open: np.ndarray[Any, np.dtype[np.int16]] = np.array([32767], dtype=np.int16) +I_i2_high_closed: np.ndarray[Any, np.dtype[np.int16]] = np.array([32767], dtype=np.int16) + +def_gen.integers(32768, dtype="i2") +def_gen.integers(-32768, 32768, dtype="i2") +def_gen.integers(32767, dtype="i2", endpoint=True) +def_gen.integers(-32768, 32767, dtype="i2", endpoint=True) +def_gen.integers(I_i2_low_like, 32767, dtype="i2", endpoint=True) +def_gen.integers(I_i2_high_open, dtype="i2") +def_gen.integers(I_i2_low, I_i2_high_open, dtype="i2") +def_gen.integers(-32768, I_i2_high_open, dtype="i2") +def_gen.integers(I_i2_high_closed, dtype="i2", endpoint=True) +def_gen.integers(I_i2_low, I_i2_high_closed, dtype="i2", endpoint=True) +def_gen.integers(-32768, I_i2_high_closed, dtype="i2", endpoint=True) + +def_gen.integers(32768, dtype="int16") +def_gen.integers(-32768, 32768, dtype="int16") +def_gen.integers(32767, dtype="int16", endpoint=True) +def_gen.integers(-32768, 32767, dtype="int16", endpoint=True) +def_gen.integers(I_i2_low_like, 32767, dtype="int16", endpoint=True) +def_gen.integers(I_i2_high_open, dtype="int16") +def_gen.integers(I_i2_low, I_i2_high_open, dtype="int16") +def_gen.integers(-32768, I_i2_high_open, dtype="int16") +def_gen.integers(I_i2_high_closed, dtype="int16", endpoint=True) +def_gen.integers(I_i2_low, I_i2_high_closed, dtype="int16", endpoint=True) +def_gen.integers(-32768, I_i2_high_closed, dtype="int16", endpoint=True) + +def_gen.integers(32768, dtype=np.int16) +def_gen.integers(-32768, 32768, dtype=np.int16) +def_gen.integers(32767, dtype=np.int16, endpoint=True) +def_gen.integers(-32768, 32767, dtype=np.int16, endpoint=True) +def_gen.integers(I_i2_low_like, 32767, dtype=np.int16, endpoint=True) +def_gen.integers(I_i2_high_open, dtype=np.int16) +def_gen.integers(I_i2_low, I_i2_high_open, dtype=np.int16) +def_gen.integers(-32768, I_i2_high_open, dtype=np.int16) +def_gen.integers(I_i2_high_closed, dtype=np.int16, endpoint=True) +def_gen.integers(I_i2_low, I_i2_high_closed, dtype=np.int16, endpoint=True) +def_gen.integers(-32768, I_i2_high_closed, dtype=np.int16, endpoint=True) + +I_i4_low: np.ndarray[Any, np.dtype[np.int32]] = np.array([-2147483648], dtype=np.int32) +I_i4_low_like: list[int] = [-2147483648] +I_i4_high_open: np.ndarray[Any, np.dtype[np.int32]] = np.array([2147483647], dtype=np.int32) +I_i4_high_closed: np.ndarray[Any, np.dtype[np.int32]] = np.array([2147483647], dtype=np.int32) + +def_gen.integers(2147483648, dtype="i4") +def_gen.integers(-2147483648, 2147483648, dtype="i4") +def_gen.integers(2147483647, dtype="i4", endpoint=True) +def_gen.integers(-2147483648, 2147483647, dtype="i4", endpoint=True) +def_gen.integers(I_i4_low_like, 2147483647, dtype="i4", endpoint=True) +def_gen.integers(I_i4_high_open, dtype="i4") +def_gen.integers(I_i4_low, I_i4_high_open, dtype="i4") +def_gen.integers(-2147483648, I_i4_high_open, dtype="i4") +def_gen.integers(I_i4_high_closed, dtype="i4", endpoint=True) +def_gen.integers(I_i4_low, I_i4_high_closed, dtype="i4", endpoint=True) +def_gen.integers(-2147483648, I_i4_high_closed, dtype="i4", endpoint=True) + +def_gen.integers(2147483648, dtype="int32") +def_gen.integers(-2147483648, 2147483648, dtype="int32") +def_gen.integers(2147483647, dtype="int32", endpoint=True) +def_gen.integers(-2147483648, 2147483647, dtype="int32", endpoint=True) +def_gen.integers(I_i4_low_like, 2147483647, dtype="int32", endpoint=True) +def_gen.integers(I_i4_high_open, dtype="int32") +def_gen.integers(I_i4_low, I_i4_high_open, dtype="int32") +def_gen.integers(-2147483648, I_i4_high_open, dtype="int32") +def_gen.integers(I_i4_high_closed, dtype="int32", endpoint=True) +def_gen.integers(I_i4_low, I_i4_high_closed, dtype="int32", endpoint=True) +def_gen.integers(-2147483648, I_i4_high_closed, dtype="int32", endpoint=True) + +def_gen.integers(2147483648, dtype=np.int32) +def_gen.integers(-2147483648, 2147483648, dtype=np.int32) +def_gen.integers(2147483647, dtype=np.int32, endpoint=True) +def_gen.integers(-2147483648, 2147483647, dtype=np.int32, endpoint=True) +def_gen.integers(I_i4_low_like, 2147483647, dtype=np.int32, endpoint=True) +def_gen.integers(I_i4_high_open, dtype=np.int32) +def_gen.integers(I_i4_low, I_i4_high_open, dtype=np.int32) +def_gen.integers(-2147483648, I_i4_high_open, dtype=np.int32) +def_gen.integers(I_i4_high_closed, dtype=np.int32, endpoint=True) +def_gen.integers(I_i4_low, I_i4_high_closed, dtype=np.int32, endpoint=True) +def_gen.integers(-2147483648, I_i4_high_closed, dtype=np.int32, endpoint=True) + +I_i8_low: np.ndarray[Any, np.dtype[np.int64]] = np.array([-9223372036854775808], dtype=np.int64) +I_i8_low_like: list[int] = [-9223372036854775808] +I_i8_high_open: np.ndarray[Any, np.dtype[np.int64]] = np.array([9223372036854775807], dtype=np.int64) +I_i8_high_closed: np.ndarray[Any, np.dtype[np.int64]] = np.array([9223372036854775807], dtype=np.int64) + +def_gen.integers(9223372036854775808, dtype="i8") +def_gen.integers(-9223372036854775808, 9223372036854775808, dtype="i8") +def_gen.integers(9223372036854775807, dtype="i8", endpoint=True) +def_gen.integers(-9223372036854775808, 9223372036854775807, dtype="i8", endpoint=True) +def_gen.integers(I_i8_low_like, 9223372036854775807, dtype="i8", endpoint=True) +def_gen.integers(I_i8_high_open, dtype="i8") +def_gen.integers(I_i8_low, I_i8_high_open, dtype="i8") +def_gen.integers(-9223372036854775808, I_i8_high_open, dtype="i8") +def_gen.integers(I_i8_high_closed, dtype="i8", endpoint=True) +def_gen.integers(I_i8_low, I_i8_high_closed, dtype="i8", endpoint=True) +def_gen.integers(-9223372036854775808, I_i8_high_closed, dtype="i8", endpoint=True) + +def_gen.integers(9223372036854775808, dtype="int64") +def_gen.integers(-9223372036854775808, 9223372036854775808, dtype="int64") +def_gen.integers(9223372036854775807, dtype="int64", endpoint=True) +def_gen.integers(-9223372036854775808, 9223372036854775807, dtype="int64", endpoint=True) +def_gen.integers(I_i8_low_like, 9223372036854775807, dtype="int64", endpoint=True) +def_gen.integers(I_i8_high_open, dtype="int64") +def_gen.integers(I_i8_low, I_i8_high_open, dtype="int64") +def_gen.integers(-9223372036854775808, I_i8_high_open, dtype="int64") +def_gen.integers(I_i8_high_closed, dtype="int64", endpoint=True) +def_gen.integers(I_i8_low, I_i8_high_closed, dtype="int64", endpoint=True) +def_gen.integers(-9223372036854775808, I_i8_high_closed, dtype="int64", endpoint=True) + +def_gen.integers(9223372036854775808, dtype=np.int64) +def_gen.integers(-9223372036854775808, 9223372036854775808, dtype=np.int64) +def_gen.integers(9223372036854775807, dtype=np.int64, endpoint=True) +def_gen.integers(-9223372036854775808, 9223372036854775807, dtype=np.int64, endpoint=True) +def_gen.integers(I_i8_low_like, 9223372036854775807, dtype=np.int64, endpoint=True) +def_gen.integers(I_i8_high_open, dtype=np.int64) +def_gen.integers(I_i8_low, I_i8_high_open, dtype=np.int64) +def_gen.integers(-9223372036854775808, I_i8_high_open, dtype=np.int64) +def_gen.integers(I_i8_high_closed, dtype=np.int64, endpoint=True) +def_gen.integers(I_i8_low, I_i8_high_closed, dtype=np.int64, endpoint=True) +def_gen.integers(-9223372036854775808, I_i8_high_closed, dtype=np.int64, endpoint=True) + + +def_gen.bit_generator + +def_gen.bytes(2) + +def_gen.choice(5) +def_gen.choice(5, 3) +def_gen.choice(5, 3, replace=True) +def_gen.choice(5, 3, p=[1 / 5] * 5) +def_gen.choice(5, 3, p=[1 / 5] * 5, replace=False) + +def_gen.choice(["pooh", "rabbit", "piglet", "Christopher"]) +def_gen.choice(["pooh", "rabbit", "piglet", "Christopher"], 3) +def_gen.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, p=[1 / 4] * 4) +def_gen.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, replace=True) +def_gen.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, replace=False, p=np.array([1 / 8, 1 / 8, 1 / 2, 1 / 4])) + +def_gen.dirichlet([0.5, 0.5]) +def_gen.dirichlet(np.array([0.5, 0.5])) +def_gen.dirichlet(np.array([0.5, 0.5]), size=3) + +def_gen.multinomial(20, [1 / 6.0] * 6) +def_gen.multinomial(20, np.array([0.5, 0.5])) +def_gen.multinomial(20, [1 / 6.0] * 6, size=2) +def_gen.multinomial([[10], [20]], [1 / 6.0] * 6, size=(2, 2)) +def_gen.multinomial(np.array([[10], [20]]), np.array([0.5, 0.5]), size=(2, 2)) + +def_gen.multivariate_hypergeometric([3, 5, 7], 2) +def_gen.multivariate_hypergeometric(np.array([3, 5, 7]), 2) +def_gen.multivariate_hypergeometric(np.array([3, 5, 7]), 2, size=4) +def_gen.multivariate_hypergeometric(np.array([3, 5, 7]), 2, size=(4, 7)) +def_gen.multivariate_hypergeometric([3, 5, 7], 2, method="count") +def_gen.multivariate_hypergeometric(np.array([3, 5, 7]), 2, method="marginals") + +def_gen.multivariate_normal([0.0], [[1.0]]) +def_gen.multivariate_normal([0.0], np.array([[1.0]])) +def_gen.multivariate_normal(np.array([0.0]), [[1.0]]) +def_gen.multivariate_normal([0.0], np.array([[1.0]])) + +def_gen.permutation(10) +def_gen.permutation([1, 2, 3, 4]) +def_gen.permutation(np.array([1, 2, 3, 4])) +def_gen.permutation(D_2D, axis=1) +def_gen.permuted(D_2D) +def_gen.permuted(D_2D_like) +def_gen.permuted(D_2D, axis=1) +def_gen.permuted(D_2D, out=D_2D) +def_gen.permuted(D_2D_like, out=D_2D) +def_gen.permuted(D_2D_like, out=D_2D) +def_gen.permuted(D_2D, axis=1, out=D_2D) + +def_gen.shuffle(np.arange(10)) +def_gen.shuffle([1, 2, 3, 4, 5]) +def_gen.shuffle(D_2D, axis=1) + +def_gen.__str__() +def_gen.__repr__() +def_gen.__setstate__(dict(def_gen.bit_generator.state)) + +# RandomState +random_st: np.random.RandomState = np.random.RandomState() + +random_st.standard_normal() +random_st.standard_normal(size=None) +random_st.standard_normal(size=1) + +random_st.random() +random_st.random(size=None) +random_st.random(size=1) + +random_st.standard_cauchy() +random_st.standard_cauchy(size=None) +random_st.standard_cauchy(size=1) + +random_st.standard_exponential() +random_st.standard_exponential(size=None) +random_st.standard_exponential(size=1) + +random_st.zipf(1.5) +random_st.zipf(1.5, size=None) +random_st.zipf(1.5, size=1) +random_st.zipf(D_arr_1p5) +random_st.zipf(D_arr_1p5, size=1) +random_st.zipf(D_arr_like_1p5) +random_st.zipf(D_arr_like_1p5, size=1) + +random_st.weibull(0.5) +random_st.weibull(0.5, size=None) +random_st.weibull(0.5, size=1) +random_st.weibull(D_arr_0p5) +random_st.weibull(D_arr_0p5, size=1) +random_st.weibull(D_arr_like_0p5) +random_st.weibull(D_arr_like_0p5, size=1) + +random_st.standard_t(0.5) +random_st.standard_t(0.5, size=None) +random_st.standard_t(0.5, size=1) +random_st.standard_t(D_arr_0p5) +random_st.standard_t(D_arr_0p5, size=1) +random_st.standard_t(D_arr_like_0p5) +random_st.standard_t(D_arr_like_0p5, size=1) + +random_st.poisson(0.5) +random_st.poisson(0.5, size=None) +random_st.poisson(0.5, size=1) +random_st.poisson(D_arr_0p5) +random_st.poisson(D_arr_0p5, size=1) +random_st.poisson(D_arr_like_0p5) +random_st.poisson(D_arr_like_0p5, size=1) + +random_st.power(0.5) +random_st.power(0.5, size=None) +random_st.power(0.5, size=1) +random_st.power(D_arr_0p5) +random_st.power(D_arr_0p5, size=1) +random_st.power(D_arr_like_0p5) +random_st.power(D_arr_like_0p5, size=1) + +random_st.pareto(0.5) +random_st.pareto(0.5, size=None) +random_st.pareto(0.5, size=1) +random_st.pareto(D_arr_0p5) +random_st.pareto(D_arr_0p5, size=1) +random_st.pareto(D_arr_like_0p5) +random_st.pareto(D_arr_like_0p5, size=1) + +random_st.chisquare(0.5) +random_st.chisquare(0.5, size=None) +random_st.chisquare(0.5, size=1) +random_st.chisquare(D_arr_0p5) +random_st.chisquare(D_arr_0p5, size=1) +random_st.chisquare(D_arr_like_0p5) +random_st.chisquare(D_arr_like_0p5, size=1) + +random_st.exponential(0.5) +random_st.exponential(0.5, size=None) +random_st.exponential(0.5, size=1) +random_st.exponential(D_arr_0p5) +random_st.exponential(D_arr_0p5, size=1) +random_st.exponential(D_arr_like_0p5) +random_st.exponential(D_arr_like_0p5, size=1) + +random_st.geometric(0.5) +random_st.geometric(0.5, size=None) +random_st.geometric(0.5, size=1) +random_st.geometric(D_arr_0p5) +random_st.geometric(D_arr_0p5, size=1) +random_st.geometric(D_arr_like_0p5) +random_st.geometric(D_arr_like_0p5, size=1) + +random_st.logseries(0.5) +random_st.logseries(0.5, size=None) +random_st.logseries(0.5, size=1) +random_st.logseries(D_arr_0p5) +random_st.logseries(D_arr_0p5, size=1) +random_st.logseries(D_arr_like_0p5) +random_st.logseries(D_arr_like_0p5, size=1) + +random_st.rayleigh(0.5) +random_st.rayleigh(0.5, size=None) +random_st.rayleigh(0.5, size=1) +random_st.rayleigh(D_arr_0p5) +random_st.rayleigh(D_arr_0p5, size=1) +random_st.rayleigh(D_arr_like_0p5) +random_st.rayleigh(D_arr_like_0p5, size=1) + +random_st.standard_gamma(0.5) +random_st.standard_gamma(0.5, size=None) +random_st.standard_gamma(0.5, size=1) +random_st.standard_gamma(D_arr_0p5) +random_st.standard_gamma(D_arr_0p5, size=1) +random_st.standard_gamma(D_arr_like_0p5) +random_st.standard_gamma(D_arr_like_0p5, size=1) +random_st.standard_gamma(D_arr_like_0p5, size=1) + +random_st.vonmises(0.5, 0.5) +random_st.vonmises(0.5, 0.5, size=None) +random_st.vonmises(0.5, 0.5, size=1) +random_st.vonmises(D_arr_0p5, 0.5) +random_st.vonmises(0.5, D_arr_0p5) +random_st.vonmises(D_arr_0p5, 0.5, size=1) +random_st.vonmises(0.5, D_arr_0p5, size=1) +random_st.vonmises(D_arr_like_0p5, 0.5) +random_st.vonmises(0.5, D_arr_like_0p5) +random_st.vonmises(D_arr_0p5, D_arr_0p5) +random_st.vonmises(D_arr_like_0p5, D_arr_like_0p5) +random_st.vonmises(D_arr_0p5, D_arr_0p5, size=1) +random_st.vonmises(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.wald(0.5, 0.5) +random_st.wald(0.5, 0.5, size=None) +random_st.wald(0.5, 0.5, size=1) +random_st.wald(D_arr_0p5, 0.5) +random_st.wald(0.5, D_arr_0p5) +random_st.wald(D_arr_0p5, 0.5, size=1) +random_st.wald(0.5, D_arr_0p5, size=1) +random_st.wald(D_arr_like_0p5, 0.5) +random_st.wald(0.5, D_arr_like_0p5) +random_st.wald(D_arr_0p5, D_arr_0p5) +random_st.wald(D_arr_like_0p5, D_arr_like_0p5) +random_st.wald(D_arr_0p5, D_arr_0p5, size=1) +random_st.wald(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.uniform(0.5, 0.5) +random_st.uniform(0.5, 0.5, size=None) +random_st.uniform(0.5, 0.5, size=1) +random_st.uniform(D_arr_0p5, 0.5) +random_st.uniform(0.5, D_arr_0p5) +random_st.uniform(D_arr_0p5, 0.5, size=1) +random_st.uniform(0.5, D_arr_0p5, size=1) +random_st.uniform(D_arr_like_0p5, 0.5) +random_st.uniform(0.5, D_arr_like_0p5) +random_st.uniform(D_arr_0p5, D_arr_0p5) +random_st.uniform(D_arr_like_0p5, D_arr_like_0p5) +random_st.uniform(D_arr_0p5, D_arr_0p5, size=1) +random_st.uniform(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.beta(0.5, 0.5) +random_st.beta(0.5, 0.5, size=None) +random_st.beta(0.5, 0.5, size=1) +random_st.beta(D_arr_0p5, 0.5) +random_st.beta(0.5, D_arr_0p5) +random_st.beta(D_arr_0p5, 0.5, size=1) +random_st.beta(0.5, D_arr_0p5, size=1) +random_st.beta(D_arr_like_0p5, 0.5) +random_st.beta(0.5, D_arr_like_0p5) +random_st.beta(D_arr_0p5, D_arr_0p5) +random_st.beta(D_arr_like_0p5, D_arr_like_0p5) +random_st.beta(D_arr_0p5, D_arr_0p5, size=1) +random_st.beta(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.f(0.5, 0.5) +random_st.f(0.5, 0.5, size=None) +random_st.f(0.5, 0.5, size=1) +random_st.f(D_arr_0p5, 0.5) +random_st.f(0.5, D_arr_0p5) +random_st.f(D_arr_0p5, 0.5, size=1) +random_st.f(0.5, D_arr_0p5, size=1) +random_st.f(D_arr_like_0p5, 0.5) +random_st.f(0.5, D_arr_like_0p5) +random_st.f(D_arr_0p5, D_arr_0p5) +random_st.f(D_arr_like_0p5, D_arr_like_0p5) +random_st.f(D_arr_0p5, D_arr_0p5, size=1) +random_st.f(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.gamma(0.5, 0.5) +random_st.gamma(0.5, 0.5, size=None) +random_st.gamma(0.5, 0.5, size=1) +random_st.gamma(D_arr_0p5, 0.5) +random_st.gamma(0.5, D_arr_0p5) +random_st.gamma(D_arr_0p5, 0.5, size=1) +random_st.gamma(0.5, D_arr_0p5, size=1) +random_st.gamma(D_arr_like_0p5, 0.5) +random_st.gamma(0.5, D_arr_like_0p5) +random_st.gamma(D_arr_0p5, D_arr_0p5) +random_st.gamma(D_arr_like_0p5, D_arr_like_0p5) +random_st.gamma(D_arr_0p5, D_arr_0p5, size=1) +random_st.gamma(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.gumbel(0.5, 0.5) +random_st.gumbel(0.5, 0.5, size=None) +random_st.gumbel(0.5, 0.5, size=1) +random_st.gumbel(D_arr_0p5, 0.5) +random_st.gumbel(0.5, D_arr_0p5) +random_st.gumbel(D_arr_0p5, 0.5, size=1) +random_st.gumbel(0.5, D_arr_0p5, size=1) +random_st.gumbel(D_arr_like_0p5, 0.5) +random_st.gumbel(0.5, D_arr_like_0p5) +random_st.gumbel(D_arr_0p5, D_arr_0p5) +random_st.gumbel(D_arr_like_0p5, D_arr_like_0p5) +random_st.gumbel(D_arr_0p5, D_arr_0p5, size=1) +random_st.gumbel(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.laplace(0.5, 0.5) +random_st.laplace(0.5, 0.5, size=None) +random_st.laplace(0.5, 0.5, size=1) +random_st.laplace(D_arr_0p5, 0.5) +random_st.laplace(0.5, D_arr_0p5) +random_st.laplace(D_arr_0p5, 0.5, size=1) +random_st.laplace(0.5, D_arr_0p5, size=1) +random_st.laplace(D_arr_like_0p5, 0.5) +random_st.laplace(0.5, D_arr_like_0p5) +random_st.laplace(D_arr_0p5, D_arr_0p5) +random_st.laplace(D_arr_like_0p5, D_arr_like_0p5) +random_st.laplace(D_arr_0p5, D_arr_0p5, size=1) +random_st.laplace(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.logistic(0.5, 0.5) +random_st.logistic(0.5, 0.5, size=None) +random_st.logistic(0.5, 0.5, size=1) +random_st.logistic(D_arr_0p5, 0.5) +random_st.logistic(0.5, D_arr_0p5) +random_st.logistic(D_arr_0p5, 0.5, size=1) +random_st.logistic(0.5, D_arr_0p5, size=1) +random_st.logistic(D_arr_like_0p5, 0.5) +random_st.logistic(0.5, D_arr_like_0p5) +random_st.logistic(D_arr_0p5, D_arr_0p5) +random_st.logistic(D_arr_like_0p5, D_arr_like_0p5) +random_st.logistic(D_arr_0p5, D_arr_0p5, size=1) +random_st.logistic(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.lognormal(0.5, 0.5) +random_st.lognormal(0.5, 0.5, size=None) +random_st.lognormal(0.5, 0.5, size=1) +random_st.lognormal(D_arr_0p5, 0.5) +random_st.lognormal(0.5, D_arr_0p5) +random_st.lognormal(D_arr_0p5, 0.5, size=1) +random_st.lognormal(0.5, D_arr_0p5, size=1) +random_st.lognormal(D_arr_like_0p5, 0.5) +random_st.lognormal(0.5, D_arr_like_0p5) +random_st.lognormal(D_arr_0p5, D_arr_0p5) +random_st.lognormal(D_arr_like_0p5, D_arr_like_0p5) +random_st.lognormal(D_arr_0p5, D_arr_0p5, size=1) +random_st.lognormal(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.noncentral_chisquare(0.5, 0.5) +random_st.noncentral_chisquare(0.5, 0.5, size=None) +random_st.noncentral_chisquare(0.5, 0.5, size=1) +random_st.noncentral_chisquare(D_arr_0p5, 0.5) +random_st.noncentral_chisquare(0.5, D_arr_0p5) +random_st.noncentral_chisquare(D_arr_0p5, 0.5, size=1) +random_st.noncentral_chisquare(0.5, D_arr_0p5, size=1) +random_st.noncentral_chisquare(D_arr_like_0p5, 0.5) +random_st.noncentral_chisquare(0.5, D_arr_like_0p5) +random_st.noncentral_chisquare(D_arr_0p5, D_arr_0p5) +random_st.noncentral_chisquare(D_arr_like_0p5, D_arr_like_0p5) +random_st.noncentral_chisquare(D_arr_0p5, D_arr_0p5, size=1) +random_st.noncentral_chisquare(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.normal(0.5, 0.5) +random_st.normal(0.5, 0.5, size=None) +random_st.normal(0.5, 0.5, size=1) +random_st.normal(D_arr_0p5, 0.5) +random_st.normal(0.5, D_arr_0p5) +random_st.normal(D_arr_0p5, 0.5, size=1) +random_st.normal(0.5, D_arr_0p5, size=1) +random_st.normal(D_arr_like_0p5, 0.5) +random_st.normal(0.5, D_arr_like_0p5) +random_st.normal(D_arr_0p5, D_arr_0p5) +random_st.normal(D_arr_like_0p5, D_arr_like_0p5) +random_st.normal(D_arr_0p5, D_arr_0p5, size=1) +random_st.normal(D_arr_like_0p5, D_arr_like_0p5, size=1) + +random_st.triangular(0.1, 0.5, 0.9) +random_st.triangular(0.1, 0.5, 0.9, size=None) +random_st.triangular(0.1, 0.5, 0.9, size=1) +random_st.triangular(D_arr_0p1, 0.5, 0.9) +random_st.triangular(0.1, D_arr_0p5, 0.9) +random_st.triangular(D_arr_0p1, 0.5, D_arr_like_0p9, size=1) +random_st.triangular(0.1, D_arr_0p5, 0.9, size=1) +random_st.triangular(D_arr_like_0p1, 0.5, D_arr_0p9) +random_st.triangular(0.5, D_arr_like_0p5, 0.9) +random_st.triangular(D_arr_0p1, D_arr_0p5, 0.9) +random_st.triangular(D_arr_like_0p1, D_arr_like_0p5, 0.9) +random_st.triangular(D_arr_0p1, D_arr_0p5, D_arr_0p9, size=1) +random_st.triangular(D_arr_like_0p1, D_arr_like_0p5, D_arr_like_0p9, size=1) + +random_st.noncentral_f(0.1, 0.5, 0.9) +random_st.noncentral_f(0.1, 0.5, 0.9, size=None) +random_st.noncentral_f(0.1, 0.5, 0.9, size=1) +random_st.noncentral_f(D_arr_0p1, 0.5, 0.9) +random_st.noncentral_f(0.1, D_arr_0p5, 0.9) +random_st.noncentral_f(D_arr_0p1, 0.5, D_arr_like_0p9, size=1) +random_st.noncentral_f(0.1, D_arr_0p5, 0.9, size=1) +random_st.noncentral_f(D_arr_like_0p1, 0.5, D_arr_0p9) +random_st.noncentral_f(0.5, D_arr_like_0p5, 0.9) +random_st.noncentral_f(D_arr_0p1, D_arr_0p5, 0.9) +random_st.noncentral_f(D_arr_like_0p1, D_arr_like_0p5, 0.9) +random_st.noncentral_f(D_arr_0p1, D_arr_0p5, D_arr_0p9, size=1) +random_st.noncentral_f(D_arr_like_0p1, D_arr_like_0p5, D_arr_like_0p9, size=1) + +random_st.binomial(10, 0.5) +random_st.binomial(10, 0.5, size=None) +random_st.binomial(10, 0.5, size=1) +random_st.binomial(I_arr_10, 0.5) +random_st.binomial(10, D_arr_0p5) +random_st.binomial(I_arr_10, 0.5, size=1) +random_st.binomial(10, D_arr_0p5, size=1) +random_st.binomial(I_arr_like_10, 0.5) +random_st.binomial(10, D_arr_like_0p5) +random_st.binomial(I_arr_10, D_arr_0p5) +random_st.binomial(I_arr_like_10, D_arr_like_0p5) +random_st.binomial(I_arr_10, D_arr_0p5, size=1) +random_st.binomial(I_arr_like_10, D_arr_like_0p5, size=1) + +random_st.negative_binomial(10, 0.5) +random_st.negative_binomial(10, 0.5, size=None) +random_st.negative_binomial(10, 0.5, size=1) +random_st.negative_binomial(I_arr_10, 0.5) +random_st.negative_binomial(10, D_arr_0p5) +random_st.negative_binomial(I_arr_10, 0.5, size=1) +random_st.negative_binomial(10, D_arr_0p5, size=1) +random_st.negative_binomial(I_arr_like_10, 0.5) +random_st.negative_binomial(10, D_arr_like_0p5) +random_st.negative_binomial(I_arr_10, D_arr_0p5) +random_st.negative_binomial(I_arr_like_10, D_arr_like_0p5) +random_st.negative_binomial(I_arr_10, D_arr_0p5, size=1) +random_st.negative_binomial(I_arr_like_10, D_arr_like_0p5, size=1) + +random_st.hypergeometric(20, 20, 10) +random_st.hypergeometric(20, 20, 10, size=None) +random_st.hypergeometric(20, 20, 10, size=1) +random_st.hypergeometric(I_arr_20, 20, 10) +random_st.hypergeometric(20, I_arr_20, 10) +random_st.hypergeometric(I_arr_20, 20, I_arr_like_10, size=1) +random_st.hypergeometric(20, I_arr_20, 10, size=1) +random_st.hypergeometric(I_arr_like_20, 20, I_arr_10) +random_st.hypergeometric(20, I_arr_like_20, 10) +random_st.hypergeometric(I_arr_20, I_arr_20, 10) +random_st.hypergeometric(I_arr_like_20, I_arr_like_20, 10) +random_st.hypergeometric(I_arr_20, I_arr_20, I_arr_10, size=1) +random_st.hypergeometric(I_arr_like_20, I_arr_like_20, I_arr_like_10, size=1) + +random_st.randint(0, 100) +random_st.randint(100) +random_st.randint([100]) +random_st.randint(0, [100]) + +random_st.randint(2, dtype=bool) +random_st.randint(0, 2, dtype=bool) +random_st.randint(I_bool_high_open, dtype=bool) +random_st.randint(I_bool_low, I_bool_high_open, dtype=bool) +random_st.randint(0, I_bool_high_open, dtype=bool) + +random_st.randint(2, dtype=np.bool) +random_st.randint(0, 2, dtype=np.bool) +random_st.randint(I_bool_high_open, dtype=np.bool) +random_st.randint(I_bool_low, I_bool_high_open, dtype=np.bool) +random_st.randint(0, I_bool_high_open, dtype=np.bool) + +random_st.randint(256, dtype="u1") +random_st.randint(0, 256, dtype="u1") +random_st.randint(I_u1_high_open, dtype="u1") +random_st.randint(I_u1_low, I_u1_high_open, dtype="u1") +random_st.randint(0, I_u1_high_open, dtype="u1") + +random_st.randint(256, dtype="uint8") +random_st.randint(0, 256, dtype="uint8") +random_st.randint(I_u1_high_open, dtype="uint8") +random_st.randint(I_u1_low, I_u1_high_open, dtype="uint8") +random_st.randint(0, I_u1_high_open, dtype="uint8") + +random_st.randint(256, dtype=np.uint8) +random_st.randint(0, 256, dtype=np.uint8) +random_st.randint(I_u1_high_open, dtype=np.uint8) +random_st.randint(I_u1_low, I_u1_high_open, dtype=np.uint8) +random_st.randint(0, I_u1_high_open, dtype=np.uint8) + +random_st.randint(65536, dtype="u2") +random_st.randint(0, 65536, dtype="u2") +random_st.randint(I_u2_high_open, dtype="u2") +random_st.randint(I_u2_low, I_u2_high_open, dtype="u2") +random_st.randint(0, I_u2_high_open, dtype="u2") + +random_st.randint(65536, dtype="uint16") +random_st.randint(0, 65536, dtype="uint16") +random_st.randint(I_u2_high_open, dtype="uint16") +random_st.randint(I_u2_low, I_u2_high_open, dtype="uint16") +random_st.randint(0, I_u2_high_open, dtype="uint16") + +random_st.randint(65536, dtype=np.uint16) +random_st.randint(0, 65536, dtype=np.uint16) +random_st.randint(I_u2_high_open, dtype=np.uint16) +random_st.randint(I_u2_low, I_u2_high_open, dtype=np.uint16) +random_st.randint(0, I_u2_high_open, dtype=np.uint16) + +random_st.randint(4294967296, dtype="u4") +random_st.randint(0, 4294967296, dtype="u4") +random_st.randint(I_u4_high_open, dtype="u4") +random_st.randint(I_u4_low, I_u4_high_open, dtype="u4") +random_st.randint(0, I_u4_high_open, dtype="u4") + +random_st.randint(4294967296, dtype="uint32") +random_st.randint(0, 4294967296, dtype="uint32") +random_st.randint(I_u4_high_open, dtype="uint32") +random_st.randint(I_u4_low, I_u4_high_open, dtype="uint32") +random_st.randint(0, I_u4_high_open, dtype="uint32") + +random_st.randint(4294967296, dtype=np.uint32) +random_st.randint(0, 4294967296, dtype=np.uint32) +random_st.randint(I_u4_high_open, dtype=np.uint32) +random_st.randint(I_u4_low, I_u4_high_open, dtype=np.uint32) +random_st.randint(0, I_u4_high_open, dtype=np.uint32) + + +random_st.randint(18446744073709551616, dtype="u8") +random_st.randint(0, 18446744073709551616, dtype="u8") +random_st.randint(I_u8_high_open, dtype="u8") +random_st.randint(I_u8_low, I_u8_high_open, dtype="u8") +random_st.randint(0, I_u8_high_open, dtype="u8") + +random_st.randint(18446744073709551616, dtype="uint64") +random_st.randint(0, 18446744073709551616, dtype="uint64") +random_st.randint(I_u8_high_open, dtype="uint64") +random_st.randint(I_u8_low, I_u8_high_open, dtype="uint64") +random_st.randint(0, I_u8_high_open, dtype="uint64") + +random_st.randint(18446744073709551616, dtype=np.uint64) +random_st.randint(0, 18446744073709551616, dtype=np.uint64) +random_st.randint(I_u8_high_open, dtype=np.uint64) +random_st.randint(I_u8_low, I_u8_high_open, dtype=np.uint64) +random_st.randint(0, I_u8_high_open, dtype=np.uint64) + +random_st.randint(128, dtype="i1") +random_st.randint(-128, 128, dtype="i1") +random_st.randint(I_i1_high_open, dtype="i1") +random_st.randint(I_i1_low, I_i1_high_open, dtype="i1") +random_st.randint(-128, I_i1_high_open, dtype="i1") + +random_st.randint(128, dtype="int8") +random_st.randint(-128, 128, dtype="int8") +random_st.randint(I_i1_high_open, dtype="int8") +random_st.randint(I_i1_low, I_i1_high_open, dtype="int8") +random_st.randint(-128, I_i1_high_open, dtype="int8") + +random_st.randint(128, dtype=np.int8) +random_st.randint(-128, 128, dtype=np.int8) +random_st.randint(I_i1_high_open, dtype=np.int8) +random_st.randint(I_i1_low, I_i1_high_open, dtype=np.int8) +random_st.randint(-128, I_i1_high_open, dtype=np.int8) + +random_st.randint(32768, dtype="i2") +random_st.randint(-32768, 32768, dtype="i2") +random_st.randint(I_i2_high_open, dtype="i2") +random_st.randint(I_i2_low, I_i2_high_open, dtype="i2") +random_st.randint(-32768, I_i2_high_open, dtype="i2") +random_st.randint(32768, dtype="int16") +random_st.randint(-32768, 32768, dtype="int16") +random_st.randint(I_i2_high_open, dtype="int16") +random_st.randint(I_i2_low, I_i2_high_open, dtype="int16") +random_st.randint(-32768, I_i2_high_open, dtype="int16") +random_st.randint(32768, dtype=np.int16) +random_st.randint(-32768, 32768, dtype=np.int16) +random_st.randint(I_i2_high_open, dtype=np.int16) +random_st.randint(I_i2_low, I_i2_high_open, dtype=np.int16) +random_st.randint(-32768, I_i2_high_open, dtype=np.int16) + +random_st.randint(2147483648, dtype="i4") +random_st.randint(-2147483648, 2147483648, dtype="i4") +random_st.randint(I_i4_high_open, dtype="i4") +random_st.randint(I_i4_low, I_i4_high_open, dtype="i4") +random_st.randint(-2147483648, I_i4_high_open, dtype="i4") + +random_st.randint(2147483648, dtype="int32") +random_st.randint(-2147483648, 2147483648, dtype="int32") +random_st.randint(I_i4_high_open, dtype="int32") +random_st.randint(I_i4_low, I_i4_high_open, dtype="int32") +random_st.randint(-2147483648, I_i4_high_open, dtype="int32") + +random_st.randint(2147483648, dtype=np.int32) +random_st.randint(-2147483648, 2147483648, dtype=np.int32) +random_st.randint(I_i4_high_open, dtype=np.int32) +random_st.randint(I_i4_low, I_i4_high_open, dtype=np.int32) +random_st.randint(-2147483648, I_i4_high_open, dtype=np.int32) + +random_st.randint(9223372036854775808, dtype="i8") +random_st.randint(-9223372036854775808, 9223372036854775808, dtype="i8") +random_st.randint(I_i8_high_open, dtype="i8") +random_st.randint(I_i8_low, I_i8_high_open, dtype="i8") +random_st.randint(-9223372036854775808, I_i8_high_open, dtype="i8") + +random_st.randint(9223372036854775808, dtype="int64") +random_st.randint(-9223372036854775808, 9223372036854775808, dtype="int64") +random_st.randint(I_i8_high_open, dtype="int64") +random_st.randint(I_i8_low, I_i8_high_open, dtype="int64") +random_st.randint(-9223372036854775808, I_i8_high_open, dtype="int64") + +random_st.randint(9223372036854775808, dtype=np.int64) +random_st.randint(-9223372036854775808, 9223372036854775808, dtype=np.int64) +random_st.randint(I_i8_high_open, dtype=np.int64) +random_st.randint(I_i8_low, I_i8_high_open, dtype=np.int64) +random_st.randint(-9223372036854775808, I_i8_high_open, dtype=np.int64) + +bg: np.random.BitGenerator = random_st._bit_generator + +random_st.bytes(2) + +random_st.choice(5) +random_st.choice(5, 3) +random_st.choice(5, 3, replace=True) +random_st.choice(5, 3, p=[1 / 5] * 5) +random_st.choice(5, 3, p=[1 / 5] * 5, replace=False) + +random_st.choice(["pooh", "rabbit", "piglet", "Christopher"]) +random_st.choice(["pooh", "rabbit", "piglet", "Christopher"], 3) +random_st.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, p=[1 / 4] * 4) +random_st.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, replace=True) +random_st.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, replace=False, p=np.array([1 / 8, 1 / 8, 1 / 2, 1 / 4])) + +random_st.dirichlet([0.5, 0.5]) +random_st.dirichlet(np.array([0.5, 0.5])) +random_st.dirichlet(np.array([0.5, 0.5]), size=3) + +random_st.multinomial(20, [1 / 6.0] * 6) +random_st.multinomial(20, np.array([0.5, 0.5])) +random_st.multinomial(20, [1 / 6.0] * 6, size=2) + +random_st.multivariate_normal([0.0], [[1.0]]) +random_st.multivariate_normal([0.0], np.array([[1.0]])) +random_st.multivariate_normal(np.array([0.0]), [[1.0]]) +random_st.multivariate_normal([0.0], np.array([[1.0]])) + +random_st.permutation(10) +random_st.permutation([1, 2, 3, 4]) +random_st.permutation(np.array([1, 2, 3, 4])) +random_st.permutation(D_2D) + +random_st.shuffle(np.arange(10)) +random_st.shuffle([1, 2, 3, 4, 5]) +random_st.shuffle(D_2D) + +np.random.RandomState(SEED_PCG64) +np.random.RandomState(0) +np.random.RandomState([0, 1, 2]) +random_st.__str__() +random_st.__repr__() +random_st_state = random_st.__getstate__() +random_st.__setstate__(random_st_state) +random_st.seed() +random_st.seed(1) +random_st.seed([0, 1]) +random_st_get_state = random_st.get_state() +random_st_get_state_legacy = random_st.get_state(legacy=True) +random_st.set_state(random_st_get_state) + +random_st.rand() +random_st.rand(1) +random_st.rand(1, 2) +random_st.randn() +random_st.randn(1) +random_st.randn(1, 2) +random_st.random_sample() +random_st.random_sample(1) +random_st.random_sample(size=(1, 2)) + +random_st.tomaxint() +random_st.tomaxint(1) +random_st.tomaxint((1,)) + +np.random.mtrand.set_bit_generator(SEED_PCG64) +np.random.mtrand.get_bit_generator() diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/recfunctions.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/recfunctions.py new file mode 100644 index 0000000000000000000000000000000000000000..586f0502b3660e13063b30d7128b3dab0558c3ba --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/recfunctions.py @@ -0,0 +1,164 @@ +"""These tests are based on the doctests from `numpy/lib/recfunctions.py`.""" + +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt +from numpy.lib import recfunctions as rfn + + +def test_recursive_fill_fields() -> None: + a: npt.NDArray[np.void] = np.array( + [(1, 10.0), (2, 20.0)], + dtype=[("A", np.int64), ("B", np.float64)], + ) + b = np.zeros((3,), dtype=a.dtype) + out = rfn.recursive_fill_fields(a, b) + assert_type(out, np.ndarray[tuple[int], np.dtype[np.void]]) + + +def test_get_names() -> None: + names: tuple[str | Any, ...] + names = rfn.get_names(np.empty((1,), dtype=[("A", int)]).dtype) + names = rfn.get_names(np.empty((1,), dtype=[("A", int), ("B", float)]).dtype) + + adtype = np.dtype([("a", int), ("b", [("b_a", int), ("b_b", int)])]) + names = rfn.get_names(adtype) + + +def test_get_names_flat() -> None: + names: tuple[str, ...] + names = rfn.get_names_flat(np.empty((1,), dtype=[("A", int)]).dtype) + names = rfn.get_names_flat(np.empty((1,), dtype=[("A", int), ("B", float)]).dtype) + + adtype = np.dtype([("a", int), ("b", [("b_a", int), ("b_b", int)])]) + names = rfn.get_names_flat(adtype) + + +def test_flatten_descr() -> None: + ndtype = np.dtype([("a", " None: + ndtype = np.dtype([ + ("A", int), + ("B", [("B_A", int), ("B_B", [("B_B_A", int), ("B_B_B", int)])]), + ]) + assert_type(rfn.get_fieldstructure(ndtype), dict[str, list[str]]) + + +def test_merge_arrays() -> None: + assert_type( + rfn.merge_arrays(( + np.ones((2,), np.int_), + np.ones((3,), np.float64), + )), + np.recarray[tuple[int], np.dtype[np.void]], + ) + + +def test_drop_fields() -> None: + ndtype = [("a", np.int64), ("b", [("b_a", np.double), ("b_b", np.int64)])] + a = np.ones((3,), dtype=ndtype) + + assert_type( + rfn.drop_fields(a, "a"), + np.ndarray[tuple[int], np.dtype[np.void]], + ) + assert_type( + rfn.drop_fields(a, "a", asrecarray=True), + np.rec.recarray[tuple[int], np.dtype[np.void]], + ) + assert_type( + rfn.rec_drop_fields(a, "a"), + np.rec.recarray[tuple[int], np.dtype[np.void]], + ) + + +def test_rename_fields() -> None: + ndtype = [("a", np.int64), ("b", [("b_a", np.double), ("b_b", np.int64)])] + a = np.ones((3,), dtype=ndtype) + + assert_type( + rfn.rename_fields(a, {"a": "A", "b_b": "B_B"}), + np.ndarray[tuple[int], np.dtype[np.void]], + ) + + +def test_repack_fields() -> None: + dt: np.dtype[np.void] = np.dtype("u1, None: + a = np.zeros(4, dtype=[("a", "i4"), ("b", "f4,u2"), ("c", "f4", 2)]) + assert_type(rfn.structured_to_unstructured(a), npt.NDArray[Any]) + + +def unstructured_to_structured() -> None: + dt: np.dtype[np.void] = np.dtype([("a", "i4"), ("b", "f4,u2"), ("c", "f4", 2)]) + a = np.arange(20, dtype=np.int32).reshape((4, 5)) + assert_type(rfn.unstructured_to_structured(a, dt), npt.NDArray[np.void]) + + +def test_apply_along_fields() -> None: + b = np.ones(4, dtype=[("x", "i4"), ("y", "f4"), ("z", "f8")]) + assert_type( + rfn.apply_along_fields(np.mean, b), + np.ndarray[tuple[int], np.dtype[np.void]], + ) + + +def test_assign_fields_by_name() -> None: + b = np.ones(4, dtype=[("x", "i4"), ("y", "f4"), ("z", "f8")]) + assert_type( + rfn.apply_along_fields(np.mean, b), + np.ndarray[tuple[int], np.dtype[np.void]], + ) + + +def test_require_fields() -> None: + a = np.ones(4, dtype=[("a", "i4"), ("b", "f8"), ("c", "u1")]) + assert_type( + rfn.require_fields(a, [("b", "f4"), ("c", "u1")]), + np.ndarray[tuple[int], np.dtype[np.void]], + ) + + +def test_stack_arrays() -> None: + x = np.zeros((2,), np.int32) + assert_type( + rfn.stack_arrays(x), + np.ndarray[tuple[int], np.dtype[np.int32]], + ) + + z = np.ones((2,), [("A", "|S3"), ("B", float)]) + zz = np.ones((2,), [("A", "|S3"), ("B", np.float64), ("C", np.float64)]) + assert_type( + rfn.stack_arrays((z, zz)), + np.ma.MaskedArray[tuple[Any, ...], np.dtype[np.void]], + ) + + +def test_find_duplicates() -> None: + ndtype = np.dtype([("a", int)]) + + a = np.ma.ones(7).view(ndtype) + assert_type( + rfn.find_duplicates(a), + np.ma.MaskedArray[tuple[int], np.dtype[np.void]], + ) + assert_type( + rfn.find_duplicates(a, ignoremask=True, return_index=True), + tuple[ + np.ma.MaskedArray[tuple[int], np.dtype[np.void]], + np.ndarray[tuple[int], np.dtype[np.int_]], + ], + ) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/scalars.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/scalars.py new file mode 100644 index 0000000000000000000000000000000000000000..eeb707b255e103b481e846870b3f9a649e7d8f35 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/scalars.py @@ -0,0 +1,249 @@ +import datetime as dt + +import pytest + +import numpy as np + +b = np.bool() +b_ = np.bool_() +u8 = np.uint64() +i8 = np.int64() +f8 = np.float64() +c16 = np.complex128() +U = np.str_() +S = np.bytes_() + + +# Construction +class D: + def __index__(self) -> int: + return 0 + + +class C: + def __complex__(self) -> complex: + return 3j + + +class B: + def __int__(self) -> int: + return 4 + + +class A: + def __float__(self) -> float: + return 4.0 + + +np.complex64(3j) +np.complex64(A()) +np.complex64(C()) +np.complex128(3j) +np.complex128(C()) +np.complex128(None) +np.complex64("1.2") +np.complex128(b"2j") + +np.int8(4) +np.int16(3.4) +np.int32(4) +np.int64(-1) +np.uint8(B()) +np.uint32() +np.int32("1") +np.int64(b"2") + +np.float16(A()) +np.float32(16) +np.float64(3.0) +np.float64(None) +np.float32("1") +np.float16(b"2.5") + +np.uint64(D()) +np.float32(D()) +np.complex64(D()) + +np.bytes_(b"hello") +np.bytes_("hello", 'utf-8') +np.bytes_("hello", encoding='utf-8') +np.str_("hello") +np.str_(b"hello", 'utf-8') +np.str_(b"hello", encoding='utf-8') + +# Array-ish semantics +np.int8().real +np.int16().imag +np.int32().data +np.int64().flags + +np.uint8().itemsize * 2 +np.uint16().ndim + 1 +np.uint32().strides +np.uint64().shape + +# Time structures +np.datetime64() +np.datetime64(0, "D") +np.datetime64(0, b"D") +np.datetime64(0, ('ms', 3)) +np.datetime64("2019") +np.datetime64(b"2019") +np.datetime64("2019", "D") +np.datetime64("2019", "us") +np.datetime64("2019", "as") +np.datetime64(np.datetime64()) +np.datetime64(np.datetime64()) +np.datetime64(dt.datetime(2000, 5, 3)) +np.datetime64(dt.datetime(2000, 5, 3), "D") +np.datetime64(dt.datetime(2000, 5, 3), "us") +np.datetime64(dt.datetime(2000, 5, 3), "as") +np.datetime64(dt.date(2000, 5, 3)) +np.datetime64(dt.date(2000, 5, 3), "D") +np.datetime64(dt.date(2000, 5, 3), "us") +np.datetime64(dt.date(2000, 5, 3), "as") +np.datetime64(None) +np.datetime64(None, "D") + +np.timedelta64() +np.timedelta64(0) +np.timedelta64(0, "D") +np.timedelta64(0, ('ms', 3)) +np.timedelta64(0, b"D") +np.timedelta64("3") +np.timedelta64(b"5") +np.timedelta64(np.timedelta64(2)) +np.timedelta64(dt.timedelta(2)) +np.timedelta64(None) +np.timedelta64(None, "D") + +np.void(1) +np.void(np.int64(1)) +np.void(True) +np.void(np.bool(True)) +np.void(b"test") +np.void(np.bytes_("test")) +np.void(object(), [("a", "O"), ("b", "O")]) +np.void(object(), dtype=[("a", "O"), ("b", "O")]) + +# Protocols +i8 = np.int64() +u8 = np.uint64() +f8 = np.float64() +c16 = np.complex128() +b = np.bool() +td = np.timedelta64() +U = np.str_("1") +S = np.bytes_("1") +AR = np.array(1, dtype=np.float64) + +int(i8) +int(u8) +int(f8) +int(b) +int(td) +int(U) +int(S) +int(AR) +with pytest.warns(np.exceptions.ComplexWarning): + int(c16) + +float(i8) +float(u8) +float(f8) +float(b_) +float(td) +float(U) +float(S) +float(AR) +with pytest.warns(np.exceptions.ComplexWarning): + float(c16) + +complex(i8) +complex(u8) +complex(f8) +complex(c16) +complex(b_) +complex(td) +complex(U) +complex(AR) + + +# Misc +c16.dtype +c16.real +c16.imag +c16.real.real +c16.real.imag +c16.ndim +c16.size +c16.itemsize +c16.shape +c16.strides +c16.squeeze() +c16.byteswap() +c16.transpose() + +# Aliases +np.byte() +np.short() +np.intc() +np.intp() +np.int_() +np.longlong() + +np.ubyte() +np.ushort() +np.uintc() +np.uintp() +np.uint() +np.ulonglong() + +np.half() +np.single() +np.double() +np.longdouble() + +np.csingle() +np.cdouble() +np.clongdouble() + +b.item() +i8.item() +u8.item() +f8.item() +c16.item() +U.item() +S.item() + +b.tolist() +i8.tolist() +u8.tolist() +f8.tolist() +c16.tolist() +U.tolist() +S.tolist() + +b.ravel() +i8.ravel() +u8.ravel() +f8.ravel() +c16.ravel() +U.ravel() +S.ravel() + +b.flatten() +i8.flatten() +u8.flatten() +f8.flatten() +c16.flatten() +U.flatten() +S.flatten() + +b.reshape(1) +i8.reshape(1) +u8.reshape(1) +f8.reshape(1) +c16.reshape(1) +U.reshape(1) +S.reshape(1) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/shape.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/shape.py new file mode 100644 index 0000000000000000000000000000000000000000..e3b497bc031065fb7ec147eccc910e9ce78b043e --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/shape.py @@ -0,0 +1,19 @@ +from typing import Any, NamedTuple + +import numpy as np + + +# Subtype of tuple[int, int] +class XYGrid(NamedTuple): + x_axis: int + y_axis: int + +# Test variance of _ShapeT_co +def accepts_2d(a: np.ndarray[tuple[int, int], Any]) -> None: + return None + + +accepts_2d(np.empty(XYGrid(2, 2))) +accepts_2d(np.zeros(XYGrid(2, 2), dtype=int)) +accepts_2d(np.ones(XYGrid(2, 2), dtype=int)) +accepts_2d(np.full(XYGrid(2, 2), fill_value=5, dtype=int)) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/simple.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/simple.py new file mode 100644 index 0000000000000000000000000000000000000000..003e9ee58bb18ad4df507379c3859ebf11dbce50 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/simple.py @@ -0,0 +1,170 @@ +"""Simple expression that should pass with mypy.""" +import operator +from collections.abc import Iterable + +import numpy as np +import numpy.typing as npt + +# Basic checks +array = np.array([1, 2]) + + +def ndarray_func(x: npt.NDArray[np.float64]) -> npt.NDArray[np.float64]: + return x + + +ndarray_func(np.array([1, 2], dtype=np.float64)) +array == 1 +array.dtype == float + +# Dtype construction +np.dtype(float) +np.dtype(np.float64) +np.dtype(None) +np.dtype("float64") +np.dtype(np.dtype(float)) +np.dtype(("U", 10)) +np.dtype((np.int32, (2, 2))) +# Define the arguments on the previous line to prevent bidirectional +# type inference in mypy from broadening the types. +two_tuples_dtype = [("R", "u1"), ("G", "u1"), ("B", "u1")] +np.dtype(two_tuples_dtype) + +three_tuples_dtype = [("R", "u1", 2)] +np.dtype(three_tuples_dtype) + +mixed_tuples_dtype = [("R", "u1"), ("G", np.str_, 1)] +np.dtype(mixed_tuples_dtype) + +shape_tuple_dtype = [("R", "u1", (2, 2))] +np.dtype(shape_tuple_dtype) + +shape_like_dtype = [("R", "u1", (2, 2)), ("G", np.str_, 1)] +np.dtype(shape_like_dtype) + +object_dtype = [("field1", object)] +np.dtype(object_dtype) + +np.dtype((np.int32, (np.int8, 4))) + +# Dtype comparison +np.dtype(float) == float +np.dtype(float) != np.float64 +np.dtype(float) < None +np.dtype(float) <= "float64" +np.dtype(float) > np.dtype(float) +np.dtype(float) >= np.dtype(("U", 10)) + +# Iteration and indexing +def iterable_func(x: Iterable[object]) -> Iterable[object]: + return x + + +iterable_func(array) +list(array) +iter(array) +zip(array, array) +array[1] +array[:] +array[...] +array[:] = 0 + +array_2d = np.ones((3, 3)) +array_2d[:2, :2] +array_2d[:2, :2] = 0 +array_2d[..., 0] +array_2d[..., 0] = 2 +array_2d[-1, -1] = None + +array_obj = np.zeros(1, dtype=np.object_) +array_obj[0] = slice(None) + +# Other special methods +len(array) +str(array) +array_scalar = np.array(1) +int(array_scalar) +float(array_scalar) +complex(array_scalar) +bytes(array_scalar) +operator.index(array_scalar) +bool(array_scalar) + +# comparisons +array < 1 +array <= 1 +array == 1 +array != 1 +array > 1 +array >= 1 +1 < array +1 <= array +1 == array +1 != array +1 > array +1 >= array + +# binary arithmetic +array + 1 +1 + array +array += 1 + +array - 1 +1 - array +array -= 1 + +array * 1 +1 * array +array *= 1 + +nonzero_array = np.array([1, 2]) +array / 1 +1 / nonzero_array +float_array = np.array([1.0, 2.0]) +float_array /= 1 + +array // 1 +1 // nonzero_array +array //= 1 + +array % 1 +1 % nonzero_array +array %= 1 + +divmod(array, 1) +divmod(1, nonzero_array) + +array ** 1 +1 ** array +array **= 1 + +array << 1 +1 << array +array <<= 1 + +array >> 1 +1 >> array +array >>= 1 + +array & 1 +1 & array +array &= 1 + +array ^ 1 +1 ^ array +array ^= 1 + +array | 1 +1 | array +array |= 1 + +# unary arithmetic +-array ++array +abs(array) +~array + +# Other methods +array.transpose() + +array @ array diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ufunc_config.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ufunc_config.py new file mode 100644 index 0000000000000000000000000000000000000000..778e1b57f7e3831464f0bc9ba37e4baddcdf49d8 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ufunc_config.py @@ -0,0 +1,64 @@ +"""Typing tests for `numpy._core._ufunc_config`.""" + +import numpy as np + + +def func1(a: str, b: int) -> None: + return None + + +def func2(a: str, b: int, c: float = 1.0) -> None: + return None + + +def func3(a: str, b: int) -> int: + return 0 + + +class Write1: + def write(self, a: str) -> None: + return None + + +class Write2: + def write(self, a: str, b: int = 1) -> None: + return None + + +class Write3: + def write(self, a: str) -> int: + return 0 + + +_err_default = np.geterr() +_bufsize_default = np.getbufsize() +_errcall_default = np.geterrcall() + +try: + np.seterr(all=None) + np.seterr(divide="ignore") + np.seterr(over="warn") + np.seterr(under="call") + np.seterr(invalid="raise") + np.geterr() + + np.setbufsize(4096) + np.getbufsize() + + np.seterrcall(func1) + np.seterrcall(func2) + np.seterrcall(func3) + np.seterrcall(Write1()) + np.seterrcall(Write2()) + np.seterrcall(Write3()) + np.geterrcall() + + with np.errstate(call=func1, all="call"): + pass + with np.errstate(call=Write1(), divide="log", over="log"): + pass + +finally: + np.seterr(**_err_default) + np.setbufsize(_bufsize_default) + np.seterrcall(_errcall_default) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ufunclike.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ufunclike.py new file mode 100644 index 0000000000000000000000000000000000000000..7e556d10bef7badff9fcf5c36a4d229b9ef63297 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ufunclike.py @@ -0,0 +1,52 @@ +from __future__ import annotations + +from typing import Any + +import numpy as np + + +class Object: + def __ceil__(self) -> Object: + return self + + def __floor__(self) -> Object: + return self + + def __trunc__(self) -> Object: + return self + + def __ge__(self, value: object) -> bool: + return True + + def __array__(self, dtype: np.typing.DTypeLike | None = None, + copy: bool | None = None) -> np.ndarray[Any, np.dtype[np.object_]]: + ret = np.empty((), dtype=object) + ret[()] = self + return ret + + +AR_LIKE_b = [True, True, False] +AR_LIKE_u = [np.uint32(1), np.uint32(2), np.uint32(3)] +AR_LIKE_i = [1, 2, 3] +AR_LIKE_f = [1.0, 2.0, 3.0] +AR_LIKE_O = [Object(), Object(), Object()] +AR_U: np.ndarray[Any, np.dtype[np.str_]] = np.zeros(3, dtype="U5") + +np.fix(AR_LIKE_b) # type: ignore[deprecated] +np.fix(AR_LIKE_u) # type: ignore[deprecated] +np.fix(AR_LIKE_i) # type: ignore[deprecated] +np.fix(AR_LIKE_f) # type: ignore[deprecated] +np.fix(AR_LIKE_O) # type: ignore[deprecated] +np.fix(AR_LIKE_f, out=AR_U) # type: ignore[deprecated] + +np.isposinf(AR_LIKE_b) +np.isposinf(AR_LIKE_u) +np.isposinf(AR_LIKE_i) +np.isposinf(AR_LIKE_f) +np.isposinf(AR_LIKE_f, out=AR_U) + +np.isneginf(AR_LIKE_b) +np.isneginf(AR_LIKE_u) +np.isneginf(AR_LIKE_i) +np.isneginf(AR_LIKE_f) +np.isneginf(AR_LIKE_f, out=AR_U) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ufuncs.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ufuncs.py new file mode 100644 index 0000000000000000000000000000000000000000..dbc61bb0b17b594865bc909787798238c5b32bf5 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/ufuncs.py @@ -0,0 +1,16 @@ +import numpy as np + +np.sin(1) +np.sin([1, 2, 3]) +np.sin(1, out=np.empty(1)) +np.matmul(np.ones((2, 2, 2)), np.ones((2, 2, 2)), axes=[(0, 1), (0, 1), (0, 1)]) +np.sin(1, signature="D->D") +# NOTE: `np.generic` subclasses are not guaranteed to support addition; +# re-enable this we can infer the exact return type of `np.sin(...)`. +# +# np.sin(1) + np.sin(1) +np.sin.types[0] +np.sin.__name__ +np.sin.__doc__ + +np.abs(np.array([1])) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/warnings_and_errors.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/warnings_and_errors.py new file mode 100644 index 0000000000000000000000000000000000000000..c351afb084c57b2d1264a3ff020ed1e63703a623 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/pass/warnings_and_errors.py @@ -0,0 +1,6 @@ +import numpy.exceptions as ex + +ex.AxisError("test") +ex.AxisError(1, ndim=2) +ex.AxisError(1, ndim=2, msg_prefix="error") +ex.AxisError(1, ndim=2, msg_prefix=None) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arithmetic.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arithmetic.pyi new file mode 100644 index 0000000000000000000000000000000000000000..491bce43fdaef328baebc8d3f3e800079098e959 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arithmetic.pyi @@ -0,0 +1,719 @@ +import datetime as dt +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt +from numpy._typing import _64Bit, _128Bit + +b: bool +c: complex +f: float +i: int + +c16: np.complex128 +c8: np.complex64 + +# Can't directly import `np.float128` as it is not available on all platforms +f16: np.floating[_128Bit] +f8: np.float64 +f4: np.float32 + +i8: np.int64 +i4: np.int32 + +u8: np.uint64 +u4: np.uint32 + +b_: np.bool + +M8: np.datetime64 +M8_none: np.datetime64[None] +M8_date: np.datetime64[dt.date] +M8_time: np.datetime64[dt.datetime] +M8_int: np.datetime64[int] +date: dt.date +time: dt.datetime + +m8: np.timedelta64 +m8_none: np.timedelta64[None] +m8_int: np.timedelta64[int] +m8_delta: np.timedelta64[dt.timedelta] +delta: dt.timedelta + +AR_b: npt.NDArray[np.bool] +AR_u: npt.NDArray[np.uint32] +AR_i: npt.NDArray[np.int64] +AR_f: npt.NDArray[np.float64] +AR_c: npt.NDArray[np.complex128] +AR_m: npt.NDArray[np.timedelta64] +AR_M: npt.NDArray[np.datetime64] +AR_O: npt.NDArray[np.object_] +AR_S: npt.NDArray[np.bytes_] +AR_U: npt.NDArray[np.str_] +AR_T: np.ndarray[tuple[Any, ...], np.dtypes.StringDType] +AR_floating: npt.NDArray[np.floating] +AR_number: npt.NDArray[np.number] +AR_Any: npt.NDArray[Any] + +AR_LIKE_b: list[bool] +AR_LIKE_u: list[np.uint32] +AR_LIKE_i: list[int] +AR_LIKE_f: list[float] +AR_LIKE_c: list[complex] +AR_LIKE_m: list[np.timedelta64] +AR_LIKE_M: list[np.datetime64] +AR_LIKE_O: list[np.object_] + +# Array subtraction + +assert_type(AR_number - AR_number, npt.NDArray[np.number]) + +assert_type(AR_b - AR_LIKE_u, npt.NDArray[np.uint32]) +assert_type(AR_b - AR_LIKE_i, npt.NDArray[np.signedinteger]) +assert_type(AR_b - AR_LIKE_f, npt.NDArray[np.floating]) +assert_type(AR_b - AR_LIKE_c, npt.NDArray[np.complexfloating]) +assert_type(AR_b - AR_LIKE_m, npt.NDArray[np.timedelta64]) +assert_type(AR_b - AR_LIKE_O, Any) + +assert_type(AR_LIKE_u - AR_b, npt.NDArray[np.uint32]) +assert_type(AR_LIKE_i - AR_b, npt.NDArray[np.signedinteger]) +assert_type(AR_LIKE_f - AR_b, npt.NDArray[np.floating]) +assert_type(AR_LIKE_c - AR_b, npt.NDArray[np.complexfloating]) +assert_type(AR_LIKE_m - AR_b, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_M - AR_b, npt.NDArray[np.datetime64]) +assert_type(AR_LIKE_O - AR_b, Any) + +assert_type(AR_u - AR_LIKE_b, npt.NDArray[np.uint32]) +assert_type(AR_u - AR_LIKE_u, npt.NDArray[np.unsignedinteger]) +assert_type(AR_u - AR_LIKE_i, npt.NDArray[np.signedinteger]) +assert_type(AR_u - AR_LIKE_f, npt.NDArray[np.floating]) +assert_type(AR_u - AR_LIKE_c, npt.NDArray[np.complexfloating]) +assert_type(AR_u - AR_LIKE_m, npt.NDArray[np.timedelta64]) +assert_type(AR_u - AR_LIKE_O, Any) + +assert_type(AR_LIKE_b - AR_u, npt.NDArray[np.uint32]) +assert_type(AR_LIKE_u - AR_u, npt.NDArray[np.unsignedinteger]) +assert_type(AR_LIKE_i - AR_u, npt.NDArray[np.signedinteger]) +assert_type(AR_LIKE_f - AR_u, npt.NDArray[np.floating]) +assert_type(AR_LIKE_c - AR_u, npt.NDArray[np.complexfloating]) +assert_type(AR_LIKE_m - AR_u, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_M - AR_u, npt.NDArray[np.datetime64]) +assert_type(AR_LIKE_O - AR_u, Any) + +assert_type(AR_i - AR_LIKE_b, npt.NDArray[np.int64]) +assert_type(AR_i - AR_LIKE_u, npt.NDArray[np.signedinteger]) +assert_type(AR_i - AR_LIKE_i, npt.NDArray[np.signedinteger]) +assert_type(AR_i - AR_LIKE_f, npt.NDArray[np.floating]) +assert_type(AR_i - AR_LIKE_c, npt.NDArray[np.complexfloating]) +assert_type(AR_i - AR_LIKE_m, npt.NDArray[np.timedelta64]) +assert_type(AR_i - AR_LIKE_O, Any) + +assert_type(AR_LIKE_b - AR_i, npt.NDArray[np.int64]) +assert_type(AR_LIKE_u - AR_i, npt.NDArray[np.signedinteger]) +assert_type(AR_LIKE_i - AR_i, npt.NDArray[np.signedinteger]) +assert_type(AR_LIKE_f - AR_i, npt.NDArray[np.floating]) +assert_type(AR_LIKE_c - AR_i, npt.NDArray[np.complexfloating]) +assert_type(AR_LIKE_m - AR_i, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_M - AR_i, npt.NDArray[np.datetime64]) +assert_type(AR_LIKE_O - AR_i, Any) + +assert_type(AR_f - AR_LIKE_b, npt.NDArray[np.float64]) +assert_type(AR_f - AR_LIKE_u, npt.NDArray[np.float64]) +assert_type(AR_f - AR_LIKE_i, npt.NDArray[np.float64]) +assert_type(AR_f - AR_LIKE_f, npt.NDArray[np.float64]) +assert_type(AR_f - AR_LIKE_c, npt.NDArray[np.complexfloating]) +assert_type(AR_f - AR_LIKE_O, Any) + +assert_type(AR_LIKE_b - AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_u - AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_i - AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_f - AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_c - AR_f, npt.NDArray[np.complexfloating]) +assert_type(AR_LIKE_O - AR_f, Any) + +assert_type(AR_c - AR_LIKE_b, npt.NDArray[np.complex128]) +assert_type(AR_c - AR_LIKE_u, npt.NDArray[np.complex128]) +assert_type(AR_c - AR_LIKE_i, npt.NDArray[np.complex128]) +assert_type(AR_c - AR_LIKE_f, npt.NDArray[np.complex128]) +assert_type(AR_c - AR_LIKE_c, npt.NDArray[np.complex128]) +assert_type(AR_c - AR_LIKE_O, Any) + +assert_type(AR_LIKE_b - AR_c, npt.NDArray[np.complex128]) +assert_type(AR_LIKE_u - AR_c, npt.NDArray[np.complex128]) +assert_type(AR_LIKE_i - AR_c, npt.NDArray[np.complex128]) +assert_type(AR_LIKE_f - AR_c, npt.NDArray[np.complex128]) +assert_type(AR_LIKE_c - AR_c, npt.NDArray[np.complex128]) +assert_type(AR_LIKE_O - AR_c, Any) + +assert_type(AR_m - AR_LIKE_b, npt.NDArray[np.timedelta64]) +assert_type(AR_m - AR_LIKE_u, npt.NDArray[np.timedelta64]) +assert_type(AR_m - AR_LIKE_i, npt.NDArray[np.timedelta64]) +assert_type(AR_m - AR_LIKE_m, npt.NDArray[np.timedelta64]) +assert_type(AR_m - AR_LIKE_O, Any) + +assert_type(AR_LIKE_b - AR_m, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_u - AR_m, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_i - AR_m, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_m - AR_m, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_M - AR_m, npt.NDArray[np.datetime64]) +assert_type(AR_LIKE_O - AR_m, Any) + +assert_type(AR_M - AR_LIKE_b, npt.NDArray[np.datetime64]) +assert_type(AR_M - AR_LIKE_u, npt.NDArray[np.datetime64]) +assert_type(AR_M - AR_LIKE_i, npt.NDArray[np.datetime64]) +assert_type(AR_M - AR_LIKE_m, npt.NDArray[np.datetime64]) +assert_type(AR_M - AR_LIKE_M, npt.NDArray[np.timedelta64]) +assert_type(AR_M - AR_LIKE_O, Any) + +assert_type(AR_LIKE_M - AR_M, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_O - AR_M, Any) + +assert_type(AR_O - AR_LIKE_b, Any) +assert_type(AR_O - AR_LIKE_u, Any) +assert_type(AR_O - AR_LIKE_i, Any) +assert_type(AR_O - AR_LIKE_f, Any) +assert_type(AR_O - AR_LIKE_c, Any) +assert_type(AR_O - AR_LIKE_m, Any) +assert_type(AR_O - AR_LIKE_M, Any) +assert_type(AR_O - AR_LIKE_O, Any) + +assert_type(AR_LIKE_b - AR_O, Any) +assert_type(AR_LIKE_u - AR_O, Any) +assert_type(AR_LIKE_i - AR_O, Any) +assert_type(AR_LIKE_f - AR_O, Any) +assert_type(AR_LIKE_c - AR_O, Any) +assert_type(AR_LIKE_m - AR_O, Any) +assert_type(AR_LIKE_M - AR_O, Any) +assert_type(AR_LIKE_O - AR_O, Any) + +# Array "true" division + +assert_type(AR_f / b, npt.NDArray[np.float64]) +assert_type(AR_f / i, npt.NDArray[np.float64]) +assert_type(AR_f / f, npt.NDArray[np.float64]) + +assert_type(b / AR_f, npt.NDArray[np.float64]) +assert_type(i / AR_f, npt.NDArray[np.float64]) +assert_type(f / AR_f, npt.NDArray[np.float64]) + +assert_type(AR_b / AR_LIKE_b, npt.NDArray[np.float64]) +assert_type(AR_b / AR_LIKE_u, npt.NDArray[np.float64]) +assert_type(AR_b / AR_LIKE_i, npt.NDArray[np.float64]) +assert_type(AR_b / AR_LIKE_f, npt.NDArray[np.float64]) +assert_type(AR_b / AR_LIKE_O, Any) + +assert_type(AR_LIKE_b / AR_b, npt.NDArray[np.float64]) +assert_type(AR_LIKE_u / AR_b, npt.NDArray[np.float64]) +assert_type(AR_LIKE_i / AR_b, npt.NDArray[np.float64]) +assert_type(AR_LIKE_f / AR_b, npt.NDArray[np.float64]) +assert_type(AR_LIKE_O / AR_b, Any) + +assert_type(AR_u / AR_LIKE_b, npt.NDArray[np.float64]) +assert_type(AR_u / AR_LIKE_u, npt.NDArray[np.float64]) +assert_type(AR_u / AR_LIKE_i, npt.NDArray[np.float64]) +assert_type(AR_u / AR_LIKE_f, npt.NDArray[np.float64]) +assert_type(AR_u / AR_LIKE_O, Any) + +assert_type(AR_LIKE_b / AR_u, npt.NDArray[np.float64]) +assert_type(AR_LIKE_u / AR_u, npt.NDArray[np.float64]) +assert_type(AR_LIKE_i / AR_u, npt.NDArray[np.float64]) +assert_type(AR_LIKE_f / AR_u, npt.NDArray[np.float64]) +assert_type(AR_LIKE_m / AR_u, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_O / AR_u, Any) + +assert_type(AR_i / AR_LIKE_b, npt.NDArray[np.float64]) +assert_type(AR_i / AR_LIKE_u, npt.NDArray[np.float64]) +assert_type(AR_i / AR_LIKE_i, npt.NDArray[np.float64]) +assert_type(AR_i / AR_LIKE_f, npt.NDArray[np.float64]) +assert_type(AR_i / AR_LIKE_O, Any) + +assert_type(AR_LIKE_b / AR_i, npt.NDArray[np.float64]) +assert_type(AR_LIKE_u / AR_i, npt.NDArray[np.float64]) +assert_type(AR_LIKE_i / AR_i, npt.NDArray[np.float64]) +assert_type(AR_LIKE_f / AR_i, npt.NDArray[np.float64]) +assert_type(AR_LIKE_m / AR_i, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_O / AR_i, Any) + +assert_type(AR_f / AR_LIKE_b, npt.NDArray[np.float64]) +assert_type(AR_f / AR_LIKE_u, npt.NDArray[np.float64]) +assert_type(AR_f / AR_LIKE_i, npt.NDArray[np.float64]) +assert_type(AR_f / AR_LIKE_f, npt.NDArray[np.float64]) +assert_type(AR_f / AR_LIKE_O, Any) + +assert_type(AR_LIKE_b / AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_u / AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_i / AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_f / AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_m / AR_f, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_O / AR_f, Any) + +assert_type(AR_m / AR_LIKE_u, npt.NDArray[np.timedelta64]) +assert_type(AR_m / AR_LIKE_i, npt.NDArray[np.timedelta64]) +assert_type(AR_m / AR_LIKE_f, npt.NDArray[np.timedelta64]) +assert_type(AR_m / AR_LIKE_m, npt.NDArray[np.float64]) +assert_type(AR_m / AR_LIKE_O, Any) + +assert_type(AR_LIKE_m / AR_m, npt.NDArray[np.float64]) +assert_type(AR_LIKE_O / AR_m, Any) + +assert_type(AR_O / AR_LIKE_b, Any) +assert_type(AR_O / AR_LIKE_u, Any) +assert_type(AR_O / AR_LIKE_i, Any) +assert_type(AR_O / AR_LIKE_f, Any) +assert_type(AR_O / AR_LIKE_m, Any) +assert_type(AR_O / AR_LIKE_M, Any) +assert_type(AR_O / AR_LIKE_O, Any) + +assert_type(AR_LIKE_b / AR_O, Any) +assert_type(AR_LIKE_u / AR_O, Any) +assert_type(AR_LIKE_i / AR_O, Any) +assert_type(AR_LIKE_f / AR_O, Any) +assert_type(AR_LIKE_m / AR_O, Any) +assert_type(AR_LIKE_M / AR_O, Any) +assert_type(AR_LIKE_O / AR_O, Any) + +# Array floor division + +assert_type(AR_b // AR_LIKE_b, npt.NDArray[np.int8]) +assert_type(AR_b // AR_LIKE_u, npt.NDArray[np.uint32]) +assert_type(AR_b // AR_LIKE_i, npt.NDArray[np.signedinteger]) +assert_type(AR_b // AR_LIKE_f, npt.NDArray[np.floating]) +assert_type(AR_b // AR_LIKE_O, Any) + +assert_type(AR_LIKE_b // AR_b, npt.NDArray[np.int8]) +assert_type(AR_LIKE_u // AR_b, npt.NDArray[np.uint32]) +assert_type(AR_LIKE_i // AR_b, npt.NDArray[np.signedinteger]) +assert_type(AR_LIKE_f // AR_b, npt.NDArray[np.floating]) +assert_type(AR_LIKE_O // AR_b, Any) + +assert_type(AR_u // AR_LIKE_b, npt.NDArray[np.uint32]) +assert_type(AR_u // AR_LIKE_u, npt.NDArray[np.unsignedinteger]) +assert_type(AR_u // AR_LIKE_i, npt.NDArray[np.signedinteger]) +assert_type(AR_u // AR_LIKE_f, npt.NDArray[np.floating]) +assert_type(AR_u // AR_LIKE_O, Any) + +assert_type(AR_LIKE_b // AR_u, npt.NDArray[np.uint32]) +assert_type(AR_LIKE_u // AR_u, npt.NDArray[np.unsignedinteger]) +assert_type(AR_LIKE_i // AR_u, npt.NDArray[np.signedinteger]) +assert_type(AR_LIKE_f // AR_u, npt.NDArray[np.floating]) +assert_type(AR_LIKE_m // AR_u, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_O // AR_u, Any) + +assert_type(AR_i // AR_LIKE_b, npt.NDArray[np.int64]) +assert_type(AR_i // AR_LIKE_u, npt.NDArray[np.signedinteger]) +assert_type(AR_i // AR_LIKE_i, npt.NDArray[np.signedinteger]) +assert_type(AR_i // AR_LIKE_f, npt.NDArray[np.floating]) +assert_type(AR_i // AR_LIKE_O, Any) + +assert_type(AR_LIKE_b // AR_i, npt.NDArray[np.int64]) +assert_type(AR_LIKE_u // AR_i, npt.NDArray[np.signedinteger]) +assert_type(AR_LIKE_i // AR_i, npt.NDArray[np.signedinteger]) +assert_type(AR_LIKE_f // AR_i, npt.NDArray[np.floating]) +assert_type(AR_LIKE_m // AR_i, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_O // AR_i, Any) + +assert_type(AR_f // AR_LIKE_b, npt.NDArray[np.float64]) +assert_type(AR_f // AR_LIKE_u, npt.NDArray[np.float64]) +assert_type(AR_f // AR_LIKE_i, npt.NDArray[np.float64]) +assert_type(AR_f // AR_LIKE_f, npt.NDArray[np.float64]) +assert_type(AR_f // AR_LIKE_O, Any) + +assert_type(AR_LIKE_b // AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_u // AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_i // AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_f // AR_f, npt.NDArray[np.float64]) +assert_type(AR_LIKE_m // AR_f, npt.NDArray[np.timedelta64]) +assert_type(AR_LIKE_O // AR_f, Any) + +assert_type(AR_m // AR_LIKE_u, npt.NDArray[np.timedelta64]) +assert_type(AR_m // AR_LIKE_i, npt.NDArray[np.timedelta64]) +assert_type(AR_m // AR_LIKE_f, npt.NDArray[np.timedelta64]) +assert_type(AR_m // AR_LIKE_m, npt.NDArray[np.int64]) +assert_type(AR_m // AR_LIKE_O, Any) + +assert_type(AR_LIKE_m // AR_m, npt.NDArray[np.int64]) +assert_type(AR_LIKE_O // AR_m, Any) + +assert_type(AR_O // AR_LIKE_b, Any) +assert_type(AR_O // AR_LIKE_u, Any) +assert_type(AR_O // AR_LIKE_i, Any) +assert_type(AR_O // AR_LIKE_f, Any) +assert_type(AR_O // AR_LIKE_m, Any) +assert_type(AR_O // AR_LIKE_M, Any) +assert_type(AR_O // AR_LIKE_O, Any) + +assert_type(AR_LIKE_b // AR_O, Any) +assert_type(AR_LIKE_u // AR_O, Any) +assert_type(AR_LIKE_i // AR_O, Any) +assert_type(AR_LIKE_f // AR_O, Any) +assert_type(AR_LIKE_m // AR_O, Any) +assert_type(AR_LIKE_M // AR_O, Any) +assert_type(AR_LIKE_O // AR_O, Any) + +# unary ops + +assert_type(-f16, np.floating[_128Bit]) +assert_type(-c16, np.complex128) +assert_type(-c8, np.complex64) +assert_type(-f8, np.float64) +assert_type(-f4, np.float32) +assert_type(-i8, np.int64) +assert_type(-i4, np.int32) +assert_type(-u8, np.uint64) +assert_type(-u4, np.uint32) +assert_type(-m8, np.timedelta64) +assert_type(-m8_none, np.timedelta64[None]) +assert_type(-m8_int, np.timedelta64[int]) +assert_type(-m8_delta, np.timedelta64[dt.timedelta]) +assert_type(-AR_f, npt.NDArray[np.float64]) + +assert_type(+f16, np.floating[_128Bit]) +assert_type(+c16, np.complex128) +assert_type(+c8, np.complex64) +assert_type(+f8, np.float64) +assert_type(+f4, np.float32) +assert_type(+i8, np.int64) +assert_type(+i4, np.int32) +assert_type(+u8, np.uint64) +assert_type(+u4, np.uint32) +assert_type(+m8_none, np.timedelta64[None]) +assert_type(+m8_int, np.timedelta64[int]) +assert_type(+m8_delta, np.timedelta64[dt.timedelta]) +assert_type(+AR_f, npt.NDArray[np.float64]) + +assert_type(abs(f16), np.floating[_128Bit]) +assert_type(abs(c16), np.float64) +assert_type(abs(c8), np.float32) +assert_type(abs(f8), np.float64) +assert_type(abs(f4), np.float32) +assert_type(abs(i8), np.int64) +assert_type(abs(i4), np.int32) +assert_type(abs(u8), np.uint64) +assert_type(abs(u4), np.uint32) +assert_type(abs(m8), np.timedelta64) +assert_type(abs(m8_none), np.timedelta64[None]) +assert_type(abs(m8_int), np.timedelta64[int]) +assert_type(abs(m8_delta), np.timedelta64[dt.timedelta]) +assert_type(abs(b_), np.bool) +assert_type(abs(AR_O), npt.NDArray[np.object_]) + +# Time structures + +assert_type(M8 + m8, np.datetime64) +assert_type(M8 + i, np.datetime64) +assert_type(M8 + i8, np.datetime64) +assert_type(M8 - M8, np.timedelta64) +assert_type(M8 - i, np.datetime64) +assert_type(M8 - i8, np.datetime64) + +assert_type(M8_none + m8, np.datetime64[None]) +assert_type(M8_none + i, np.datetime64[None]) +assert_type(M8_none + i8, np.datetime64[None]) +assert_type(M8_none - M8, np.timedelta64[None]) +assert_type(M8_none - m8, np.datetime64[None]) +assert_type(M8_none - i, np.datetime64[None]) +assert_type(M8_none - i8, np.datetime64[None]) + +assert_type(m8 + m8, np.timedelta64) +assert_type(m8 + i, np.timedelta64) +assert_type(m8 + i8, np.timedelta64) +assert_type(m8 - m8, np.timedelta64) +assert_type(m8 - i, np.timedelta64) +assert_type(m8 - i8, np.timedelta64) +assert_type(m8 * f, np.timedelta64) +assert_type(m8 * f4, np.timedelta64) +assert_type(m8 * np.True_, np.timedelta64) +assert_type(m8 / f, np.timedelta64) +assert_type(m8 / f4, np.timedelta64) +assert_type(m8 / m8, np.float64) +assert_type(m8 // m8, np.int64) +assert_type(m8 % m8, np.timedelta64) +assert_type(divmod(m8, m8), tuple[np.int64, np.timedelta64]) + +assert_type(m8_none + m8, np.timedelta64[None]) +assert_type(m8_none + i, np.timedelta64[None]) +assert_type(m8_none + i8, np.timedelta64[None]) +assert_type(m8_none - i, np.timedelta64[None]) +assert_type(m8_none - i8, np.timedelta64[None]) + +assert_type(m8_int + i, np.timedelta64[int]) +assert_type(m8_int + m8_delta, np.timedelta64[int]) +assert_type(m8_int + m8, np.timedelta64[int | None]) +assert_type(m8_int - i, np.timedelta64[int]) +assert_type(m8_int - m8_delta, np.timedelta64[int]) +assert_type(m8_int - m8, np.timedelta64[int | None]) + +assert_type(m8_delta + date, dt.date) +assert_type(m8_delta + time, dt.datetime) +assert_type(m8_delta + delta, dt.timedelta) +assert_type(m8_delta - delta, dt.timedelta) +assert_type(m8_delta / delta, float) +assert_type(m8_delta // delta, int) +assert_type(m8_delta % delta, dt.timedelta) +assert_type(divmod(m8_delta, delta), tuple[int, dt.timedelta]) + +# boolean + +assert_type(b_ / b, np.float64) +assert_type(b_ / b_, np.float64) +assert_type(b_ / i, np.float64) +assert_type(b_ / i8, np.float64) +assert_type(b_ / i4, np.float64) +assert_type(b_ / u8, np.float64) +assert_type(b_ / u4, np.float64) +assert_type(b_ / f, np.float64) +assert_type(b_ / f16, np.floating[_128Bit]) +assert_type(b_ / f8, np.float64) +assert_type(b_ / f4, np.float32) +assert_type(b_ / c, np.complex128) +assert_type(b_ / c16, np.complex128) +assert_type(b_ / c8, np.complex64) + +assert_type(b / b_, np.float64) +assert_type(b_ / b_, np.float64) +assert_type(i / b_, np.float64) +assert_type(i8 / b_, np.float64) +assert_type(i4 / b_, np.float64) +assert_type(u8 / b_, np.float64) +assert_type(u4 / b_, np.float64) +assert_type(f / b_, np.float64) +assert_type(f16 / b_, np.floating[_128Bit]) +assert_type(f8 / b_, np.float64) +assert_type(f4 / b_, np.float32) +assert_type(c / b_, np.complex128) +assert_type(c16 / b_, np.complex128) +assert_type(c8 / b_, np.complex64) + +# Complex + +assert_type(c16 + f16, np.complexfloating) +assert_type(c16 + c16, np.complex128) +assert_type(c16 + f8, np.complex128) +assert_type(c16 + i8, np.complex128) +assert_type(c16 + c8, np.complex128) +assert_type(c16 + f4, np.complex128) +assert_type(c16 + i4, np.complex128) +assert_type(c16 + b_, np.complex128) +assert_type(c16 + b, np.complex128) +assert_type(c16 + c, np.complex128) +assert_type(c16 + f, np.complex128) +assert_type(c16 + AR_f, npt.NDArray[np.complex128]) + +assert_type(f16 + c16, np.complexfloating) +assert_type(c16 + c16, np.complex128) +assert_type(f8 + c16, np.complex128) +assert_type(i8 + c16, np.complex128) +assert_type(c8 + c16, np.complex128 | np.complex64) +assert_type(f4 + c16, np.complexfloating) +assert_type(i4 + c16, np.complex128) +assert_type(b_ + c16, np.complex128) +assert_type(b + c16, np.complex128) +assert_type(c + c16, np.complex128) +assert_type(f + c16, np.complex128) +assert_type(AR_f + c16, npt.NDArray[np.complex128]) + +assert_type(c8 + f16, np.complex64 | np.complexfloating[_128Bit, _128Bit]) +assert_type(c8 + c16, np.complex64 | np.complex128) +assert_type(c8 + f8, np.complex64 | np.complex128) +assert_type(c8 + i8, np.complex64 | np.complexfloating[_64Bit, _64Bit]) +assert_type(c8 + c8, np.complex64) +assert_type(c8 + f4, np.complex64) +assert_type(c8 + i4, np.complex64) +assert_type(c8 + b_, np.complex64) +assert_type(c8 + b, np.complex64) +assert_type(c8 + c, np.complex64 | np.complex128) +assert_type(c8 + f, np.complex64 | np.complex128) +assert_type(c8 + AR_f, npt.NDArray[np.complexfloating]) + +assert_type(f16 + c8, np.complexfloating[_128Bit, _128Bit] | np.complex64) +assert_type(c16 + c8, np.complex128) +assert_type(f8 + c8, np.complexfloating[_64Bit, _64Bit]) +assert_type(i8 + c8, np.complexfloating[_64Bit, _64Bit] | np.complex64) +assert_type(c8 + c8, np.complex64) +assert_type(f4 + c8, np.complex64) +assert_type(i4 + c8, np.complex64) +assert_type(b_ + c8, np.complex64) +assert_type(b + c8, np.complex64) +assert_type(c + c8, np.complex64 | np.complex128) +assert_type(f + c8, np.complex64 | np.complex128) +assert_type(AR_f + c8, npt.NDArray[np.complexfloating]) + +# Float + +assert_type(f8 + f16, np.floating) +assert_type(f8 + f8, np.float64) +assert_type(f8 + i8, np.float64) +assert_type(f8 + f4, np.float64) +assert_type(f8 + i4, np.float64) +assert_type(f8 + b_, np.float64) +assert_type(f8 + b, np.float64) +assert_type(f8 + c, np.float64 | np.complex128) +assert_type(f8 + f, np.float64) +assert_type(f8 + AR_f, npt.NDArray[np.float64]) + +assert_type(f16 + f8, np.floating) +assert_type(f8 + f8, np.float64) +assert_type(i8 + f8, np.float64) +assert_type(f4 + f8, np.floating) +assert_type(i4 + f8, np.float64) +assert_type(b_ + f8, np.float64) +assert_type(b + f8, np.float64) +assert_type(c + f8, np.complex128 | np.float64) +assert_type(f + f8, np.float64) +assert_type(AR_f + f8, npt.NDArray[np.float64]) + +assert_type(f4 + f16, np.floating) +assert_type(f4 + f8, np.floating) +assert_type(f4 + i8, np.floating) +assert_type(f4 + f4, np.float32) +assert_type(f4 + i4, np.floating) +assert_type(f4 + b_, np.float32) +assert_type(f4 + b, np.float32) +assert_type(f4 + c, np.complexfloating) +assert_type(f4 + f, np.float32) +assert_type(f4 + AR_f, npt.NDArray[np.float64]) + +assert_type(f16 + f4, np.floating) +assert_type(f8 + f4, np.float64) +assert_type(i8 + f4, np.floating) +assert_type(f4 + f4, np.float32) +assert_type(i4 + f4, np.floating) +assert_type(b_ + f4, np.float32) +assert_type(b + f4, np.float32) +assert_type(c + f4, np.complexfloating) +assert_type(f + f4, np.float32) +assert_type(AR_f + f4, npt.NDArray[np.float64]) + +# Int + +assert_type(i8 + i8, np.int64) +assert_type(i8 + u8, Any) +assert_type(i8 + i4, np.signedinteger) +assert_type(i8 + u4, Any) +assert_type(i8 + b_, np.int64) +assert_type(i8 + b, np.int64) +assert_type(i8 + c, np.complex128) +assert_type(i8 + f, np.float64) +assert_type(i8 + AR_f, npt.NDArray[np.float64]) + +assert_type(u8 + u8, np.uint64) +assert_type(u8 + i4, Any) +assert_type(u8 + u4, np.unsignedinteger) +assert_type(u8 + b_, np.uint64) +assert_type(u8 + b, np.uint64) +assert_type(u8 + c, np.complex128) +assert_type(u8 + f, np.float64) +assert_type(u8 + AR_f, npt.NDArray[np.float64]) + +assert_type(i8 + i8, np.int64) +assert_type(u8 + i8, Any) +assert_type(i4 + i8, np.signedinteger) +assert_type(u4 + i8, Any) +assert_type(b_ + i8, np.int64) +assert_type(b + i8, np.int64) +assert_type(c + i8, np.complex128) +assert_type(f + i8, np.float64) +assert_type(AR_f + i8, npt.NDArray[np.float64]) + +assert_type(u8 + u8, np.uint64) +assert_type(i4 + u8, Any) +assert_type(u4 + u8, np.unsignedinteger) +assert_type(b_ + u8, np.uint64) +assert_type(b + u8, np.uint64) +assert_type(c + u8, np.complex128) +assert_type(f + u8, np.float64) +assert_type(AR_f + u8, npt.NDArray[np.float64]) + +assert_type(i4 + i8, np.signedinteger) +assert_type(i4 + i4, np.int32) +assert_type(i4 + b_, np.int32) +assert_type(i4 + b, np.int32) +assert_type(i4 + AR_f, npt.NDArray[np.float64]) + +assert_type(u4 + i8, Any) +assert_type(u4 + i4, Any) +assert_type(u4 + u8, np.unsignedinteger) +assert_type(u4 + u4, np.uint32) +assert_type(u4 + b_, np.uint32) +assert_type(u4 + b, np.uint32) +assert_type(u4 + AR_f, npt.NDArray[np.float64]) + +assert_type(i8 + i4, np.signedinteger) +assert_type(i4 + i4, np.int32) +assert_type(b_ + i4, np.int32) +assert_type(b + i4, np.int32) +assert_type(AR_f + i4, npt.NDArray[np.float64]) + +assert_type(i8 + u4, Any) +assert_type(i4 + u4, Any) +assert_type(u8 + u4, np.unsignedinteger) +assert_type(u4 + u4, np.uint32) +assert_type(b_ + u4, np.uint32) +assert_type(b + u4, np.uint32) +assert_type(AR_f + u4, npt.NDArray[np.float64]) + +# Any + +assert_type(AR_Any + 2, npt.NDArray[Any]) + +# regression tests for https://github.com/numpy/numpy/issues/28805 + +assert_type(AR_floating + f, npt.NDArray[np.floating]) +assert_type(AR_floating - f, npt.NDArray[np.floating]) +assert_type(AR_floating * f, npt.NDArray[np.floating]) +assert_type(AR_floating ** f, npt.NDArray[np.floating]) +assert_type(AR_floating / f, npt.NDArray[np.floating]) +assert_type(AR_floating // f, npt.NDArray[np.floating]) +assert_type(AR_floating % f, npt.NDArray[np.floating]) +assert_type(divmod(AR_floating, f), tuple[npt.NDArray[np.floating], npt.NDArray[np.floating]]) + +assert_type(f + AR_floating, npt.NDArray[np.floating]) +assert_type(f - AR_floating, npt.NDArray[np.floating]) +assert_type(f * AR_floating, npt.NDArray[np.floating]) +assert_type(f ** AR_floating, npt.NDArray[np.floating]) +assert_type(f / AR_floating, npt.NDArray[np.floating]) +assert_type(f // AR_floating, npt.NDArray[np.floating]) +assert_type(f % AR_floating, npt.NDArray[np.floating]) +assert_type(divmod(f, AR_floating), tuple[npt.NDArray[np.floating], npt.NDArray[np.floating]]) + +# character-like + +assert_type(AR_S + b"", npt.NDArray[np.bytes_]) +assert_type(AR_S + [b""], npt.NDArray[np.bytes_]) +assert_type([b""] + AR_S, npt.NDArray[np.bytes_]) +assert_type(AR_S + AR_S, npt.NDArray[np.bytes_]) + +assert_type(AR_U + "", npt.NDArray[np.str_]) +assert_type(AR_U + [""], npt.NDArray[np.str_]) +assert_type("" + AR_U, npt.NDArray[np.str_]) +assert_type([""] + AR_U, npt.NDArray[np.str_]) +assert_type(AR_U + AR_U, npt.NDArray[np.str_]) + +assert_type(AR_T + "", np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) +assert_type(AR_T + [""], np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) +assert_type("" + AR_T, np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) +assert_type([""] + AR_T, np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) +assert_type(AR_T + AR_T, np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) +assert_type(AR_T + AR_U, np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) +assert_type(AR_U + AR_T, np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) + +assert_type(AR_S * i, np.ndarray[tuple[Any, ...], np.dtype[np.bytes_]]) +assert_type(AR_S * AR_LIKE_i, np.ndarray[tuple[Any, ...], np.dtype[np.bytes_]]) +assert_type(AR_S * AR_i, np.ndarray[tuple[Any, ...], np.dtype[np.bytes_]]) +assert_type(i * AR_S, np.ndarray[tuple[Any, ...], np.dtype[np.bytes_]]) +# mypy incorrectly infers `AR_LIKE_i * AR_S` as `list[int]` +assert_type(AR_i * AR_S, np.ndarray[tuple[Any, ...], np.dtype[np.bytes_]]) + +assert_type(AR_U * i, np.ndarray[tuple[Any, ...], np.dtype[np.str_]]) +assert_type(AR_U * AR_LIKE_i, np.ndarray[tuple[Any, ...], np.dtype[np.str_]]) +assert_type(AR_U * AR_i, np.ndarray[tuple[Any, ...], np.dtype[np.str_]]) +assert_type(i * AR_U, np.ndarray[tuple[Any, ...], np.dtype[np.str_]]) +# mypy incorrectly infers `AR_LIKE_i * AR_U` as `list[int]` +assert_type(AR_i * AR_U, np.ndarray[tuple[Any, ...], np.dtype[np.str_]]) + +assert_type(AR_T * i, np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) +assert_type(AR_T * AR_LIKE_i, np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) +assert_type(AR_T * AR_i, np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) +assert_type(i * AR_T, np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) +# mypy incorrectly infers `AR_LIKE_i * AR_T` as `list[int]` +assert_type(AR_i * AR_T, np.ndarray[tuple[Any, ...], np.dtypes.StringDType]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/array_api_info.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/array_api_info.pyi new file mode 100644 index 0000000000000000000000000000000000000000..765f9eff516856657f4aaa8aebf22a4c2851a599 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/array_api_info.pyi @@ -0,0 +1,70 @@ +from typing import Literal, Never, assert_type + +import numpy as np + +info = np.__array_namespace_info__() + +assert_type(info.__module__, Literal["numpy"]) + +assert_type(info.default_device(), Literal["cpu"]) +assert_type(info.devices()[0], Literal["cpu"]) +assert_type(info.devices()[-1], Literal["cpu"]) + +assert_type(info.capabilities()["boolean indexing"], Literal[True]) +assert_type(info.capabilities()["data-dependent shapes"], Literal[True]) + +assert_type(info.default_dtypes()["real floating"], np.dtype[np.float64]) +assert_type(info.default_dtypes()["complex floating"], np.dtype[np.complex128]) +assert_type(info.default_dtypes()["integral"], np.dtype[np.int_]) +assert_type(info.default_dtypes()["indexing"], np.dtype[np.intp]) + +assert_type(info.dtypes()["bool"], np.dtype[np.bool]) +assert_type(info.dtypes()["int8"], np.dtype[np.int8]) +assert_type(info.dtypes()["uint8"], np.dtype[np.uint8]) +assert_type(info.dtypes()["float32"], np.dtype[np.float32]) +assert_type(info.dtypes()["complex64"], np.dtype[np.complex64]) + +assert_type(info.dtypes(kind="bool")["bool"], np.dtype[np.bool]) +assert_type(info.dtypes(kind="signed integer")["int64"], np.dtype[np.int64]) +assert_type(info.dtypes(kind="unsigned integer")["uint64"], np.dtype[np.uint64]) +assert_type(info.dtypes(kind="integral")["int32"], np.dtype[np.int32]) +assert_type(info.dtypes(kind="integral")["uint32"], np.dtype[np.uint32]) +assert_type(info.dtypes(kind="real floating")["float64"], np.dtype[np.float64]) +assert_type(info.dtypes(kind="complex floating")["complex128"], np.dtype[np.complex128]) +assert_type(info.dtypes(kind="numeric")["int16"], np.dtype[np.int16]) +assert_type(info.dtypes(kind="numeric")["uint16"], np.dtype[np.uint16]) +assert_type(info.dtypes(kind="numeric")["float64"], np.dtype[np.float64]) +assert_type(info.dtypes(kind="numeric")["complex128"], np.dtype[np.complex128]) + +assert_type(info.dtypes(kind=()), dict[Never, Never]) + +assert_type(info.dtypes(kind=("bool",))["bool"], np.dtype[np.bool]) +assert_type(info.dtypes(kind=("signed integer",))["int64"], np.dtype[np.int64]) +assert_type(info.dtypes(kind=("integral",))["uint32"], np.dtype[np.uint32]) +assert_type(info.dtypes(kind=("complex floating",))["complex128"], np.dtype[np.complex128]) +assert_type(info.dtypes(kind=("numeric",))["float64"], np.dtype[np.float64]) + +assert_type( + info.dtypes(kind=("signed integer", "unsigned integer"))["int8"], + np.dtype[np.int8], +) +assert_type( + info.dtypes(kind=("signed integer", "unsigned integer"))["uint8"], + np.dtype[np.uint8], +) +assert_type( + info.dtypes(kind=("integral", "real floating", "complex floating"))["int16"], + np.dtype[np.int16], +) +assert_type( + info.dtypes(kind=("integral", "real floating", "complex floating"))["uint16"], + np.dtype[np.uint16], +) +assert_type( + info.dtypes(kind=("integral", "real floating", "complex floating"))["float32"], + np.dtype[np.float32], +) +assert_type( + info.dtypes(kind=("integral", "real floating", "complex floating"))["complex64"], + np.dtype[np.complex64], +) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/array_constructors.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/array_constructors.pyi new file mode 100644 index 0000000000000000000000000000000000000000..bfdbe8727bb855793e44448526c70879b7344eff --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/array_constructors.pyi @@ -0,0 +1,279 @@ +import sys +from collections import deque +from pathlib import Path +from typing import Any, Generic, TypeVar, assert_type + +import numpy as np +import numpy.typing as npt + +_ScalarT_co = TypeVar("_ScalarT_co", bound=np.generic, covariant=True) + +class SubClass(npt.NDArray[_ScalarT_co]): ... + +class IntoSubClass(Generic[_ScalarT_co]): + def __array__(self) -> SubClass[_ScalarT_co]: ... + +i8: np.int64 + +A: npt.NDArray[np.float64] +B: SubClass[np.float64] +C: list[int] +D: SubClass[np.float64 | np.int64] +E: IntoSubClass[np.float64 | np.int64] + +mixed_shape: tuple[int, np.int64] + +def func(i: int, j: int, **kwargs: Any) -> SubClass[np.float64]: ... + +assert_type(np.empty_like(A), npt.NDArray[np.float64]) +assert_type(np.empty_like(B), SubClass[np.float64]) +assert_type(np.empty_like([1, 1.0]), npt.NDArray[Any]) +assert_type(np.empty_like(A, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.empty_like(A, dtype="c16"), npt.NDArray[Any]) + +assert_type(np.array(A), npt.NDArray[np.float64]) +assert_type(np.array(B), npt.NDArray[np.float64]) +assert_type(np.array([1, 1.0]), npt.NDArray[Any]) +assert_type(np.array(deque([1, 2, 3])), npt.NDArray[Any]) +assert_type(np.array(A, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.array(A, dtype="c16"), npt.NDArray[Any]) +assert_type(np.array(A, like=A), npt.NDArray[np.float64]) +assert_type(np.array(A, subok=True), npt.NDArray[np.float64]) +assert_type(np.array(B, subok=True), SubClass[np.float64]) +assert_type(np.array(B, subok=True, ndmin=0), SubClass[np.float64]) +assert_type(np.array(B, subok=True, ndmin=1), SubClass[np.float64]) +assert_type(np.array(D), npt.NDArray[np.float64 | np.int64]) +assert_type(np.array(E, subok=True), SubClass[np.float64 | np.int64]) +# https://github.com/numpy/numpy/issues/29245 +assert_type(np.array([], dtype=np.bool), npt.NDArray[np.bool]) + +assert_type(np.zeros([1, 5, 6]), npt.NDArray[np.float64]) +assert_type(np.zeros([1, 5, 6], dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.zeros([1, 5, 6], dtype="c16"), npt.NDArray[Any]) +assert_type(np.zeros(mixed_shape), npt.NDArray[np.float64]) + +assert_type(np.empty([1, 5, 6]), npt.NDArray[np.float64]) +assert_type(np.empty([1, 5, 6], dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.empty([1, 5, 6], dtype="c16"), npt.NDArray[Any]) +assert_type(np.empty(mixed_shape), npt.NDArray[np.float64]) + +assert_type(np.concatenate(A), npt.NDArray[np.float64]) +assert_type(np.concatenate([A, A]), npt.NDArray[Any]) # pyright correctly infers this as NDArray[float64] +assert_type(np.concatenate([[1], A]), npt.NDArray[Any]) +assert_type(np.concatenate([[1], [1]]), npt.NDArray[Any]) +assert_type(np.concatenate((A, A)), npt.NDArray[np.float64]) +assert_type(np.concatenate(([1], [1])), npt.NDArray[Any]) +assert_type(np.concatenate([1, 1.0]), npt.NDArray[Any]) +assert_type(np.concatenate(A, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.concatenate(A, dtype="c16"), npt.NDArray[Any]) +assert_type(np.concatenate([1, 1.0], out=A), npt.NDArray[np.float64]) + +assert_type(np.asarray(A), npt.NDArray[np.float64]) +assert_type(np.asarray(B), npt.NDArray[np.float64]) +assert_type(np.asarray([1, 1.0]), npt.NDArray[Any]) +assert_type(np.asarray(A, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.asarray(A, dtype="c16"), npt.NDArray[Any]) + +assert_type(np.asanyarray(A), npt.NDArray[np.float64]) +assert_type(np.asanyarray(B), SubClass[np.float64]) +assert_type(np.asanyarray([1, 1.0]), npt.NDArray[Any]) +assert_type(np.asanyarray(A, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.asanyarray(A, dtype="c16"), npt.NDArray[Any]) + +assert_type(np.ascontiguousarray(A), npt.NDArray[np.float64]) +assert_type(np.ascontiguousarray(B), npt.NDArray[np.float64]) +assert_type(np.ascontiguousarray([1, 1.0]), npt.NDArray[Any]) +assert_type(np.ascontiguousarray(A, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.ascontiguousarray(A, dtype="c16"), npt.NDArray[Any]) + +assert_type(np.asfortranarray(A), npt.NDArray[np.float64]) +assert_type(np.asfortranarray(B), npt.NDArray[np.float64]) +assert_type(np.asfortranarray([1, 1.0]), npt.NDArray[Any]) +assert_type(np.asfortranarray(A, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.asfortranarray(A, dtype="c16"), npt.NDArray[Any]) + +assert_type(np.fromstring("1 1 1", sep=" "), npt.NDArray[np.float64]) +assert_type(np.fromstring(b"1 1 1", sep=" "), npt.NDArray[np.float64]) +assert_type(np.fromstring("1 1 1", dtype=np.int64, sep=" "), npt.NDArray[np.int64]) +assert_type(np.fromstring(b"1 1 1", dtype=np.int64, sep=" "), npt.NDArray[np.int64]) +assert_type(np.fromstring("1 1 1", dtype="c16", sep=" "), npt.NDArray[Any]) +assert_type(np.fromstring(b"1 1 1", dtype="c16", sep=" "), npt.NDArray[Any]) + +assert_type(np.fromfile("test.txt", sep=" "), npt.NDArray[np.float64]) +assert_type(np.fromfile("test.txt", dtype=np.int64, sep=" "), npt.NDArray[np.int64]) +assert_type(np.fromfile("test.txt", dtype="c16", sep=" "), npt.NDArray[Any]) +with open("test.txt") as f: + assert_type(np.fromfile(f, sep=" "), npt.NDArray[np.float64]) + assert_type(np.fromfile(b"test.txt", sep=" "), npt.NDArray[np.float64]) + assert_type(np.fromfile(Path("test.txt"), sep=" "), npt.NDArray[np.float64]) + +assert_type(np.fromiter("12345", np.float64), npt.NDArray[np.float64]) +assert_type(np.fromiter("12345", float), npt.NDArray[Any]) + +assert_type(np.frombuffer(A), npt.NDArray[np.float64]) +assert_type(np.frombuffer(A, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.frombuffer(A, dtype="c16"), npt.NDArray[Any]) + +_x_bool: bool +_x_int: int +_x_float: float +_x_timedelta: np.timedelta64 +_x_datetime: np.datetime64 + +assert_type(np.arange(False, True), np.ndarray[tuple[int], np.dtype[np.int_]]) +assert_type(np.arange(10), np.ndarray[tuple[int], np.dtype[np.int_]]) +assert_type(np.arange(0, 10, step=2), np.ndarray[tuple[int], np.dtype[np.int_]]) +assert_type(np.arange(10.0), np.ndarray[tuple[int], np.dtype[np.float64 | Any]]) +assert_type(np.arange(0, stop=10.0), np.ndarray[tuple[int], np.dtype[np.float64 | Any]]) +assert_type(np.arange(_x_timedelta), np.ndarray[tuple[int], np.dtype[np.timedelta64[Any]]]) +assert_type(np.arange(0, _x_timedelta), np.ndarray[tuple[int], np.dtype[np.timedelta64[Any]]]) +assert_type(np.arange(_x_datetime, _x_datetime), np.ndarray[tuple[int], np.dtype[np.datetime64[Any]]]) +assert_type(np.arange(10, dtype=np.float64), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.arange(0, 10, step=2, dtype=np.int16), np.ndarray[tuple[int], np.dtype[np.int16]]) +assert_type(np.arange(10, dtype=int), np.ndarray[tuple[int], np.dtype[np.int_]]) +assert_type(np.arange(0, 10, dtype="f8"), np.ndarray[tuple[int], np.dtype]) +# https://github.com/numpy/numpy/issues/30628 +assert_type(np.arange("2025-12-20", "2025-12-23", dtype="datetime64[D]"), np.ndarray[tuple[int], np.dtype[np.datetime64[Any]]]) + +assert_type(np.require(A), npt.NDArray[np.float64]) +assert_type(np.require(B), SubClass[np.float64]) +assert_type(np.require(B, requirements=None), SubClass[np.float64]) +assert_type(np.require(B, dtype=int), npt.NDArray[Any]) +assert_type(np.require(B, requirements="E"), npt.NDArray[Any]) +assert_type(np.require(B, requirements=["ENSUREARRAY"]), npt.NDArray[Any]) +assert_type(np.require(B, requirements={"F", "E"}), npt.NDArray[Any]) +assert_type(np.require(B, requirements=["C", "OWNDATA"]), SubClass[np.float64]) +assert_type(np.require(B, requirements="W"), SubClass[np.float64]) +assert_type(np.require(B, requirements="A"), SubClass[np.float64]) +assert_type(np.require(C), npt.NDArray[Any]) + +assert_type(np.linspace(0, 10), npt.NDArray[np.float64]) +assert_type(np.linspace(0, 10j), npt.NDArray[np.complexfloating]) +assert_type(np.linspace(0, 10, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.linspace(0, 10, dtype=int), npt.NDArray[Any]) +assert_type(np.linspace(0, 10, retstep=True), tuple[npt.NDArray[np.float64], np.float64]) +assert_type(np.linspace(0j, 10, retstep=True), tuple[npt.NDArray[np.complexfloating], np.complexfloating]) +assert_type(np.linspace(0, 10, retstep=True, dtype=np.int64), tuple[npt.NDArray[np.int64], np.int64]) +assert_type(np.linspace(0j, 10, retstep=True, dtype=int), tuple[npt.NDArray[Any], Any]) + +assert_type(np.logspace(0, 10), npt.NDArray[np.float64]) +assert_type(np.logspace(0, 10j), npt.NDArray[np.complexfloating]) +assert_type(np.logspace(0, 10, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.logspace(0, 10, dtype=int), npt.NDArray[Any]) + +assert_type(np.geomspace(0, 10), npt.NDArray[np.float64]) +assert_type(np.geomspace(0, 10j), npt.NDArray[np.complexfloating]) +assert_type(np.geomspace(0, 10, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(np.geomspace(0, 10, dtype=int), npt.NDArray[Any]) + +assert_type(np.zeros_like(A), npt.NDArray[np.float64]) +assert_type(np.zeros_like(C), npt.NDArray[Any]) +assert_type(np.zeros_like(A, dtype=float), npt.NDArray[Any]) +assert_type(np.zeros_like(B), SubClass[np.float64]) +assert_type(np.zeros_like(B, dtype=np.int64), npt.NDArray[np.int64]) + +assert_type(np.ones_like(A), npt.NDArray[np.float64]) +assert_type(np.ones_like(C), npt.NDArray[Any]) +assert_type(np.ones_like(A, dtype=float), npt.NDArray[Any]) +assert_type(np.ones_like(B), SubClass[np.float64]) +assert_type(np.ones_like(B, dtype=np.int64), npt.NDArray[np.int64]) + +assert_type(np.full_like(A, i8), npt.NDArray[np.float64]) +assert_type(np.full_like(C, i8), npt.NDArray[Any]) +assert_type(np.full_like(A, i8, dtype=int), npt.NDArray[Any]) +assert_type(np.full_like(B, i8), SubClass[np.float64]) +assert_type(np.full_like(B, i8, dtype=np.int64), npt.NDArray[np.int64]) + +_size: int +_shape_0d: tuple[()] +_shape_1d: tuple[int] +_shape_2d: tuple[int, int] +_shape_nd: tuple[int, ...] +_shape_like: list[int] + +assert_type(np.ones(_shape_0d), np.ndarray[tuple[()], np.dtype[np.float64]]) +assert_type(np.ones(_size), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.ones(_shape_2d), np.ndarray[tuple[int, int], np.dtype[np.float64]]) +assert_type(np.ones(_shape_nd), np.ndarray[tuple[int, ...], np.dtype[np.float64]]) +assert_type(np.ones(_shape_1d, dtype=np.int64), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(np.ones(_shape_like), npt.NDArray[np.float64]) +assert_type( + np.ones(_shape_like, dtype=np.dtypes.Int64DType()), + np.ndarray[tuple[Any, ...], np.dtypes.Int64DType], +) +assert_type(np.ones(_shape_like, dtype=int), npt.NDArray[Any]) +assert_type(np.ones(mixed_shape), npt.NDArray[np.float64]) + +assert_type(np.full(_size, i8), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(np.full(_shape_2d, i8), np.ndarray[tuple[int, int], np.dtype[np.int64]]) +assert_type(np.full(_shape_like, i8), npt.NDArray[np.int64]) +assert_type(np.full(_shape_like, 42), npt.NDArray[Any]) +assert_type(np.full(_size, i8, dtype=np.float64), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.full(_size, i8, dtype=float), np.ndarray[tuple[int], np.dtype]) +assert_type(np.full(_shape_like, 42, dtype=float), npt.NDArray[Any]) +assert_type(np.full(_shape_0d, i8, dtype=object), np.ndarray[tuple[()], np.dtype]) + +assert_type(np.indices([1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.indices([1, 2, 3], sparse=True), tuple[npt.NDArray[np.int_], ...]) + +assert_type(np.fromfunction(func, (3, 5)), SubClass[np.float64]) + +assert_type(np.identity(3), np.ndarray[tuple[int, int], np.dtype[np.float64]]) +assert_type(np.identity(3, dtype=np.int8), np.ndarray[tuple[int, int], np.dtype[np.int8]]) +assert_type(np.identity(3, dtype=bool), np.ndarray[tuple[int, int], np.dtype[np.bool]]) +assert_type(np.identity(3, dtype="bool"), np.ndarray[tuple[int, int], np.dtype[np.bool]]) +assert_type(np.identity(3, dtype="b1"), np.ndarray[tuple[int, int], np.dtype[np.bool]]) +assert_type(np.identity(3, dtype="?"), np.ndarray[tuple[int, int], np.dtype[np.bool]]) +assert_type(np.identity(3, dtype=int), np.ndarray[tuple[int, int], np.dtype[np.int_ | Any]]) +assert_type(np.identity(3, dtype="int"), np.ndarray[tuple[int, int], np.dtype[np.int_ | Any]]) +assert_type(np.identity(3, dtype="n"), np.ndarray[tuple[int, int], np.dtype[np.int_ | Any]]) +assert_type(np.identity(3, dtype=float), np.ndarray[tuple[int, int], np.dtype[np.float64 | Any]]) +assert_type(np.identity(3, dtype="float"), np.ndarray[tuple[int, int], np.dtype[np.float64 | Any]]) +assert_type(np.identity(3, dtype="f8"), np.ndarray[tuple[int, int], np.dtype[np.float64 | Any]]) +assert_type(np.identity(3, dtype="d"), np.ndarray[tuple[int, int], np.dtype[np.float64 | Any]]) +assert_type(np.identity(3, dtype=complex), np.ndarray[tuple[int, int], np.dtype[np.complex128 | Any]]) +assert_type(np.identity(3, dtype="complex"), np.ndarray[tuple[int, int], np.dtype[np.complex128 | Any]]) +assert_type(np.identity(3, dtype="c16"), np.ndarray[tuple[int, int], np.dtype[np.complex128 | Any]]) +assert_type(np.identity(3, dtype="D"), np.ndarray[tuple[int, int], np.dtype[np.complex128 | Any]]) + +assert_type(np.atleast_1d(A), npt.NDArray[np.float64]) +assert_type(np.atleast_1d(C), npt.NDArray[Any]) +assert_type(np.atleast_1d(A, A), tuple[npt.NDArray[np.float64], npt.NDArray[np.float64]]) +assert_type(np.atleast_1d(A, C), tuple[npt.NDArray[Any], npt.NDArray[Any]]) +assert_type(np.atleast_1d(C, C), tuple[npt.NDArray[Any], npt.NDArray[Any]]) +assert_type(np.atleast_1d(A, A, A), tuple[npt.NDArray[np.float64], ...]) +assert_type(np.atleast_1d(C, C, C), tuple[npt.NDArray[Any], ...]) + +assert_type(np.atleast_2d(A), npt.NDArray[np.float64]) +assert_type(np.atleast_2d(A, A), tuple[npt.NDArray[np.float64], npt.NDArray[np.float64]]) +assert_type(np.atleast_2d(A, A, A), tuple[npt.NDArray[np.float64], ...]) + +assert_type(np.atleast_3d(A), npt.NDArray[np.float64]) +assert_type(np.atleast_3d(A, A), tuple[npt.NDArray[np.float64], npt.NDArray[np.float64]]) +assert_type(np.atleast_3d(A, A, A), tuple[npt.NDArray[np.float64], ...]) + +assert_type(np.vstack([A, A]), npt.NDArray[np.float64]) +assert_type(np.vstack([A, A], dtype=np.float32), npt.NDArray[np.float32]) +assert_type(np.vstack([A, C]), npt.NDArray[Any]) +assert_type(np.vstack([C, C]), npt.NDArray[Any]) + +assert_type(np.hstack([A, A]), npt.NDArray[np.float64]) +assert_type(np.hstack([A, A], dtype=np.float32), npt.NDArray[np.float32]) + +assert_type(np.stack([A, A]), npt.NDArray[np.float64]) +assert_type(np.stack([A, A], dtype=np.float32), npt.NDArray[np.float32]) +assert_type(np.stack([A, C]), npt.NDArray[Any]) +assert_type(np.stack([C, C]), npt.NDArray[Any]) +assert_type(np.stack([A, A], axis=0), npt.NDArray[np.float64]) +assert_type(np.stack([A, A], out=B), SubClass[np.float64]) + +assert_type(np.block([[A, A], [A, A]]), npt.NDArray[Any]) # pyright correctly infers this as NDArray[float64] +assert_type(np.block(C), npt.NDArray[Any]) + +if sys.version_info >= (3, 12): + from collections.abc import Buffer + + def create_array(obj: npt.ArrayLike) -> npt.NDArray[Any]: ... + + buffer: Buffer + assert_type(create_array(buffer), npt.NDArray[Any]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arraypad.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arraypad.pyi new file mode 100644 index 0000000000000000000000000000000000000000..3d53d913a7705868fe36219cf75d787285c935e5 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arraypad.pyi @@ -0,0 +1,27 @@ +from collections.abc import Mapping +from typing import Any, SupportsIndex, assert_type + +import numpy as np +import numpy.typing as npt + +def mode_func( + ar: npt.NDArray[np.number], + width: tuple[int, int], + iaxis: SupportsIndex, + kwargs: Mapping[str, Any], +) -> None: ... + +AR_i8: npt.NDArray[np.int64] +AR_f8: npt.NDArray[np.float64] +AR_LIKE: list[int] + +assert_type(np.pad(AR_i8, (2, 3), "constant"), npt.NDArray[np.int64]) +assert_type(np.pad(AR_LIKE, (2, 3), "constant"), npt.NDArray[Any]) + +assert_type(np.pad(AR_f8, (2, 3), mode_func), npt.NDArray[np.float64]) +assert_type(np.pad(AR_f8, (2, 3), mode_func, a=1, b=2), npt.NDArray[np.float64]) + +assert_type(np.pad(AR_i8, {-1: (2, 3)}), npt.NDArray[np.int64]) +assert_type(np.pad(AR_i8, {-2: 4}), npt.NDArray[np.int64]) +pad_width: dict[int, int | tuple[int, int]] = {-1: (2, 3), -2: 4} +assert_type(np.pad(AR_i8, pad_width), npt.NDArray[np.int64]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arrayprint.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arrayprint.pyi new file mode 100644 index 0000000000000000000000000000000000000000..17e175edc2b7796578b34eca3eaba9f1656f2e02 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arrayprint.pyi @@ -0,0 +1,25 @@ +import contextlib +from collections.abc import Callable +from typing import assert_type + +import numpy as np +import numpy.typing as npt +from numpy._core.arrayprint import _FormatOptions + +AR: npt.NDArray[np.int64] +func_float: Callable[[np.floating], str] +func_int: Callable[[np.integer], str] + +assert_type(np.get_printoptions(), _FormatOptions) +assert_type( + np.array2string(AR, formatter={"float_kind": func_float, "int_kind": func_int}), + str, +) +assert_type(np.format_float_scientific(1.0), str) +assert_type(np.format_float_positional(1), str) +assert_type(np.array_repr(AR), str) +assert_type(np.array_str(AR), str) + +assert_type(np.printoptions(), contextlib._GeneratorContextManager[_FormatOptions]) +with np.printoptions() as dct: + assert_type(dct, _FormatOptions) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arraysetops.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arraysetops.pyi new file mode 100644 index 0000000000000000000000000000000000000000..7e5ca5c5717baeb13a12af2cb8cfa42469c34fb7 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arraysetops.pyi @@ -0,0 +1,74 @@ +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt +from numpy.lib._arraysetops_impl import ( + UniqueAllResult, + UniqueCountsResult, + UniqueInverseResult, +) + +AR_b: npt.NDArray[np.bool] +AR_i8: npt.NDArray[np.int64] +AR_f8: npt.NDArray[np.float64] +AR_M: npt.NDArray[np.datetime64] +AR_O: npt.NDArray[np.object_] + +AR_LIKE_f8: list[float] + +assert_type(np.ediff1d(AR_b), npt.NDArray[np.int8]) +assert_type(np.ediff1d(AR_i8, to_end=[1, 2, 3]), npt.NDArray[np.int64]) +assert_type(np.ediff1d(AR_M), npt.NDArray[np.timedelta64]) +assert_type(np.ediff1d(AR_O), npt.NDArray[np.object_]) +assert_type(np.ediff1d(AR_LIKE_f8, to_begin=[1, 1.5]), npt.NDArray[Any]) + +assert_type(np.intersect1d(AR_i8, AR_i8), npt.NDArray[np.int64]) +assert_type(np.intersect1d(AR_M, AR_M, assume_unique=True), npt.NDArray[np.datetime64]) +assert_type(np.intersect1d(AR_f8, AR_i8), npt.NDArray[Any]) +assert_type( + np.intersect1d(AR_f8, AR_f8, return_indices=True), + tuple[npt.NDArray[np.float64], npt.NDArray[np.intp], npt.NDArray[np.intp]], +) + +assert_type(np.setxor1d(AR_i8, AR_i8), npt.NDArray[np.int64]) +assert_type(np.setxor1d(AR_M, AR_M, assume_unique=True), npt.NDArray[np.datetime64]) +assert_type(np.setxor1d(AR_f8, AR_i8), npt.NDArray[Any]) + +assert_type(np.isin(AR_i8, AR_i8), npt.NDArray[np.bool]) +assert_type(np.isin(AR_M, AR_M, assume_unique=True), npt.NDArray[np.bool]) +assert_type(np.isin(AR_f8, AR_i8), npt.NDArray[np.bool]) +assert_type(np.isin(AR_f8, AR_LIKE_f8, invert=True), npt.NDArray[np.bool]) + +assert_type(np.union1d(AR_i8, AR_i8), npt.NDArray[np.int64]) +assert_type(np.union1d(AR_M, AR_M), npt.NDArray[np.datetime64]) +assert_type(np.union1d(AR_f8, AR_i8), npt.NDArray[Any]) + +assert_type(np.setdiff1d(AR_i8, AR_i8), npt.NDArray[np.int64]) +assert_type(np.setdiff1d(AR_M, AR_M, assume_unique=True), npt.NDArray[np.datetime64]) +assert_type(np.setdiff1d(AR_f8, AR_i8), npt.NDArray[Any]) + +assert_type(np.unique(AR_f8), npt.NDArray[np.float64]) +assert_type(np.unique(AR_LIKE_f8, axis=0), npt.NDArray[Any]) +assert_type(np.unique(AR_f8, return_index=True), tuple[npt.NDArray[np.float64], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_LIKE_f8, return_index=True), tuple[npt.NDArray[Any], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_f8, return_inverse=True), tuple[npt.NDArray[np.float64], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_LIKE_f8, return_inverse=True), tuple[npt.NDArray[Any], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_f8, return_counts=True), tuple[npt.NDArray[np.float64], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_LIKE_f8, return_counts=True), tuple[npt.NDArray[Any], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_f8, return_index=True, return_inverse=True), tuple[npt.NDArray[np.float64], npt.NDArray[np.intp], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_LIKE_f8, return_index=True, return_inverse=True), tuple[npt.NDArray[Any], npt.NDArray[np.intp], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_f8, return_index=True, return_counts=True), tuple[npt.NDArray[np.float64], npt.NDArray[np.intp], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_LIKE_f8, return_index=True, return_counts=True), tuple[npt.NDArray[Any], npt.NDArray[np.intp], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_f8, return_inverse=True, return_counts=True), tuple[npt.NDArray[np.float64], npt.NDArray[np.intp], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_LIKE_f8, return_inverse=True, return_counts=True), tuple[npt.NDArray[Any], npt.NDArray[np.intp], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_f8, return_index=True, return_inverse=True, return_counts=True), tuple[npt.NDArray[np.float64], npt.NDArray[np.intp], npt.NDArray[np.intp], npt.NDArray[np.intp]]) +assert_type(np.unique(AR_LIKE_f8, return_index=True, return_inverse=True, return_counts=True), tuple[npt.NDArray[Any], npt.NDArray[np.intp], npt.NDArray[np.intp], npt.NDArray[np.intp]]) + +assert_type(np.unique_all(AR_f8), UniqueAllResult[np.float64]) +assert_type(np.unique_all(AR_LIKE_f8), UniqueAllResult[Any]) +assert_type(np.unique_counts(AR_f8), UniqueCountsResult[np.float64]) +assert_type(np.unique_counts(AR_LIKE_f8), UniqueCountsResult[Any]) +assert_type(np.unique_inverse(AR_f8), UniqueInverseResult[np.float64]) +assert_type(np.unique_inverse(AR_LIKE_f8), UniqueInverseResult[Any]) +assert_type(np.unique_values(AR_f8), npt.NDArray[np.float64]) +assert_type(np.unique_values(AR_LIKE_f8), npt.NDArray[Any]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arrayterator.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arrayterator.pyi new file mode 100644 index 0000000000000000000000000000000000000000..85eeff4add0873053ae76f9b0c24bc7c8cbf58c0 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/arrayterator.pyi @@ -0,0 +1,27 @@ +from collections.abc import Generator +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt + +AR_i8: npt.NDArray[np.int64] +ar_iter = np.lib.Arrayterator(AR_i8) + +assert_type(ar_iter.var, npt.NDArray[np.int64]) +assert_type(ar_iter.buf_size, int | None) +assert_type(ar_iter.start, list[int]) +assert_type(ar_iter.stop, list[int]) +assert_type(ar_iter.step, list[int]) +assert_type(ar_iter.shape, tuple[Any, ...]) +assert_type(ar_iter.flat, Generator[np.int64]) + +assert_type(ar_iter.__array__(), npt.NDArray[np.int64]) + +for i in ar_iter: + assert_type(i, npt.NDArray[np.int64]) + +assert_type(ar_iter[0], np.lib.Arrayterator[tuple[Any, ...], np.dtype[np.int64]]) +assert_type(ar_iter[...], np.lib.Arrayterator[tuple[Any, ...], np.dtype[np.int64]]) +assert_type(ar_iter[:], np.lib.Arrayterator[tuple[Any, ...], np.dtype[np.int64]]) +assert_type(ar_iter[0, 0, 0], np.lib.Arrayterator[tuple[Any, ...], np.dtype[np.int64]]) +assert_type(ar_iter[..., 0, :], np.lib.Arrayterator[tuple[Any, ...], np.dtype[np.int64]]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/bitwise_ops.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/bitwise_ops.pyi new file mode 100644 index 0000000000000000000000000000000000000000..49986bd5d12c590e92d134efa66307dbcdf9c56a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/bitwise_ops.pyi @@ -0,0 +1,166 @@ +from typing import Literal as L, TypeAlias, assert_type + +import numpy as np +import numpy.typing as npt + +FalseType: TypeAlias = L[False] +TrueType: TypeAlias = L[True] + +i4: np.int32 +i8: np.int64 + +u4: np.uint32 +u8: np.uint64 + +b_: np.bool[bool] +b0_: np.bool[FalseType] +b1_: np.bool[TrueType] + +b: bool +b0: FalseType +b1: TrueType + +i: int + +AR: npt.NDArray[np.int32] + +assert_type(i8 << i8, np.int64) +assert_type(i8 >> i8, np.int64) +assert_type(i8 | i8, np.int64) +assert_type(i8 ^ i8, np.int64) +assert_type(i8 & i8, np.int64) + +assert_type(i8 << AR, npt.NDArray[np.signedinteger]) +assert_type(i8 >> AR, npt.NDArray[np.signedinteger]) +assert_type(i8 | AR, npt.NDArray[np.signedinteger]) +assert_type(i8 ^ AR, npt.NDArray[np.signedinteger]) +assert_type(i8 & AR, npt.NDArray[np.signedinteger]) + +assert_type(i4 << i4, np.int32) +assert_type(i4 >> i4, np.int32) +assert_type(i4 | i4, np.int32) +assert_type(i4 ^ i4, np.int32) +assert_type(i4 & i4, np.int32) + +assert_type(i8 << i4, np.signedinteger) +assert_type(i8 >> i4, np.signedinteger) +assert_type(i8 | i4, np.signedinteger) +assert_type(i8 ^ i4, np.signedinteger) +assert_type(i8 & i4, np.signedinteger) + +assert_type(i8 << b_, np.int64) +assert_type(i8 >> b_, np.int64) +assert_type(i8 | b_, np.int64) +assert_type(i8 ^ b_, np.int64) +assert_type(i8 & b_, np.int64) + +assert_type(i8 << b, np.int64) +assert_type(i8 >> b, np.int64) +assert_type(i8 | b, np.int64) +assert_type(i8 ^ b, np.int64) +assert_type(i8 & b, np.int64) + +assert_type(u8 << u8, np.uint64) +assert_type(u8 >> u8, np.uint64) +assert_type(u8 | u8, np.uint64) +assert_type(u8 ^ u8, np.uint64) +assert_type(u8 & u8, np.uint64) + +assert_type(u8 << AR, npt.NDArray[np.signedinteger]) +assert_type(u8 >> AR, npt.NDArray[np.signedinteger]) +assert_type(u8 | AR, npt.NDArray[np.signedinteger]) +assert_type(u8 ^ AR, npt.NDArray[np.signedinteger]) +assert_type(u8 & AR, npt.NDArray[np.signedinteger]) + +assert_type(u4 << u4, np.uint32) +assert_type(u4 >> u4, np.uint32) +assert_type(u4 | u4, np.uint32) +assert_type(u4 ^ u4, np.uint32) +assert_type(u4 & u4, np.uint32) + +assert_type(u4 << i4, np.signedinteger) +assert_type(u4 >> i4, np.signedinteger) +assert_type(u4 | i4, np.signedinteger) +assert_type(u4 ^ i4, np.signedinteger) +assert_type(u4 & i4, np.signedinteger) + +assert_type(u4 << i, np.uint32) +assert_type(u4 >> i, np.uint32) +assert_type(u4 | i, np.uint32) +assert_type(u4 ^ i, np.uint32) +assert_type(u4 & i, np.uint32) + +assert_type(u8 << b_, np.uint64) +assert_type(u8 >> b_, np.uint64) +assert_type(u8 | b_, np.uint64) +assert_type(u8 ^ b_, np.uint64) +assert_type(u8 & b_, np.uint64) + +assert_type(u8 << b, np.uint64) +assert_type(u8 >> b, np.uint64) +assert_type(u8 | b, np.uint64) +assert_type(u8 ^ b, np.uint64) +assert_type(u8 & b, np.uint64) + +assert_type(b_ << b_, np.int8) +assert_type(b_ >> b_, np.int8) +assert_type(b_ | b_, np.bool) +assert_type(b_ ^ b_, np.bool) +assert_type(b_ & b_, np.bool) + +assert_type(b_ << AR, npt.NDArray[np.signedinteger]) +assert_type(b_ >> AR, npt.NDArray[np.signedinteger]) +assert_type(b_ | AR, npt.NDArray[np.signedinteger]) +assert_type(b_ ^ AR, npt.NDArray[np.signedinteger]) +assert_type(b_ & AR, npt.NDArray[np.signedinteger]) + +assert_type(b_ << b, np.int8) +assert_type(b_ >> b, np.int8) +assert_type(b_ | b, np.bool) +assert_type(b_ ^ b, np.bool) +assert_type(b_ & b, np.bool) + +assert_type(b_ << i, np.int_) +assert_type(b_ >> i, np.int_) +assert_type(b_ | i, np.bool | np.int_) +assert_type(b_ ^ i, np.bool | np.int_) +assert_type(b_ & i, np.bool | np.int_) + +assert_type(~i8, np.int64) +assert_type(~i4, np.int32) +assert_type(~u8, np.uint64) +assert_type(~u4, np.uint32) +assert_type(~b_, np.bool) +assert_type(~b0_, np.bool[TrueType]) +assert_type(~b1_, np.bool[FalseType]) +assert_type(~AR, npt.NDArray[np.int32]) + +assert_type(b_ | b0_, np.bool) +assert_type(b0_ | b_, np.bool) +assert_type(b_ | b1_, np.bool[TrueType]) +assert_type(b1_ | b_, np.bool[TrueType]) + +assert_type(b_ ^ b0_, np.bool) +assert_type(b0_ ^ b_, np.bool) +assert_type(b_ ^ b1_, np.bool) +assert_type(b1_ ^ b_, np.bool) + +assert_type(b_ & b0_, np.bool[FalseType]) +assert_type(b0_ & b_, np.bool[FalseType]) +assert_type(b_ & b1_, np.bool) +assert_type(b1_ & b_, np.bool) + +assert_type(b0_ | b0_, np.bool[FalseType]) +assert_type(b0_ | b1_, np.bool[TrueType]) +assert_type(b1_ | b0_, np.bool[TrueType]) +assert_type(b1_ | b1_, np.bool[TrueType]) + +assert_type(b0_ ^ b0_, np.bool[FalseType]) +assert_type(b0_ ^ b1_, np.bool[TrueType]) +assert_type(b1_ ^ b0_, np.bool[TrueType]) +assert_type(b1_ ^ b1_, np.bool[FalseType]) + +assert_type(b0_ & b0_, np.bool[FalseType]) +assert_type(b0_ & b1_, np.bool[FalseType]) +assert_type(b1_ & b0_, np.bool[FalseType]) +assert_type(b1_ & b1_, np.bool[TrueType]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/char.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/char.pyi new file mode 100644 index 0000000000000000000000000000000000000000..2fba2feae3851c06bd5ea57f7547159e18fc1a86 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/char.pyi @@ -0,0 +1,225 @@ +from typing import TypeAlias, assert_type + +import numpy as np +import numpy._typing as np_t +import numpy.typing as npt + +AR_T_alias: TypeAlias = np.ndarray[np_t._AnyShape, np.dtypes.StringDType] +AR_TU_alias: TypeAlias = AR_T_alias | npt.NDArray[np.str_] + +AR_U: npt.NDArray[np.str_] +AR_S: npt.NDArray[np.bytes_] +AR_T: AR_T_alias + +assert_type(np.char.equal(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.char.equal(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.char.equal(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.not_equal(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.char.not_equal(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.char.not_equal(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.greater_equal(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.char.greater_equal(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.char.greater_equal(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.less_equal(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.char.less_equal(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.char.less_equal(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.greater(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.char.greater(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.char.greater(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.less(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.char.less(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.char.less(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.multiply(AR_U, 5), npt.NDArray[np.str_]) +assert_type(np.char.multiply(AR_S, [5, 4, 3]), npt.NDArray[np.bytes_]) +assert_type(np.char.multiply(AR_T, 5), AR_T_alias) + +assert_type(np.char.mod(AR_U, "test"), npt.NDArray[np.str_]) +assert_type(np.char.mod(AR_S, "test"), npt.NDArray[np.bytes_]) +assert_type(np.char.mod(AR_T, "test"), AR_T_alias) + +assert_type(np.char.capitalize(AR_U), npt.NDArray[np.str_]) +assert_type(np.char.capitalize(AR_S), npt.NDArray[np.bytes_]) +assert_type(np.char.capitalize(AR_T), AR_T_alias) + +assert_type(np.char.center(AR_U, 5), npt.NDArray[np.str_]) +assert_type(np.char.center(AR_S, [2, 3, 4], b"a"), npt.NDArray[np.bytes_]) +assert_type(np.char.center(AR_T, 5), AR_T_alias) + +assert_type(np.char.encode(AR_U), npt.NDArray[np.bytes_]) +assert_type(np.char.encode(AR_T), npt.NDArray[np.bytes_]) +assert_type(np.char.decode(AR_S), npt.NDArray[np.str_]) + +assert_type(np.char.expandtabs(AR_U), npt.NDArray[np.str_]) +assert_type(np.char.expandtabs(AR_S, tabsize=4), npt.NDArray[np.bytes_]) +assert_type(np.char.expandtabs(AR_T), AR_T_alias) + +assert_type(np.char.join(AR_U, "_"), npt.NDArray[np.str_]) +assert_type(np.char.join(AR_S, [b"_", b""]), npt.NDArray[np.bytes_]) +assert_type(np.char.join(AR_T, "_"), AR_TU_alias) + +assert_type(np.char.ljust(AR_U, 5), npt.NDArray[np.str_]) +assert_type(np.char.ljust(AR_S, [4, 3, 1], fillchar=[b"a", b"b", b"c"]), npt.NDArray[np.bytes_]) +assert_type(np.char.ljust(AR_S, [4, 3, 1], fillchar="a"), npt.NDArray[np.bytes_]) +assert_type(np.char.ljust(AR_T, 5), AR_T_alias) +assert_type(np.char.ljust(AR_T, [4, 2, 1], fillchar=["a", "b", "c"]), AR_TU_alias) + +assert_type(np.char.rjust(AR_U, 5), npt.NDArray[np.str_]) +assert_type(np.char.rjust(AR_S, [4, 3, 1], fillchar=[b"a", b"b", b"c"]), npt.NDArray[np.bytes_]) +assert_type(np.char.rjust(AR_T, 5), AR_T_alias) +assert_type(np.char.rjust(AR_T, [4, 2, 1], fillchar=["a", "b", "c"]), AR_TU_alias) + +assert_type(np.char.lstrip(AR_U), npt.NDArray[np.str_]) +assert_type(np.char.lstrip(AR_S, b"_"), npt.NDArray[np.bytes_]) +assert_type(np.char.lstrip(AR_T), AR_T_alias) +assert_type(np.char.lstrip(AR_T, "_"), AR_TU_alias) + +assert_type(np.char.rstrip(AR_U), npt.NDArray[np.str_]) +assert_type(np.char.rstrip(AR_S, b"_"), npt.NDArray[np.bytes_]) +assert_type(np.char.rstrip(AR_T), AR_T_alias) +assert_type(np.char.rstrip(AR_T, "_"), AR_TU_alias) + +assert_type(np.char.strip(AR_U), npt.NDArray[np.str_]) +assert_type(np.char.strip(AR_S, b"_"), npt.NDArray[np.bytes_]) +assert_type(np.char.strip(AR_T), AR_T_alias) +assert_type(np.char.strip(AR_T, "_"), AR_TU_alias) + +assert_type(np.char.count(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.char.count(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(np.char.count(AR_T, AR_T, start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.char.count(AR_T, ["a", "b", "c"], end=9), npt.NDArray[np.int_]) + +assert_type(np.char.partition(AR_U, "\n"), npt.NDArray[np.str_]) +assert_type(np.char.partition(AR_S, [b"a", b"b", b"c"]), npt.NDArray[np.bytes_]) +assert_type(np.char.partition(AR_T, "\n"), AR_TU_alias) + +assert_type(np.char.rpartition(AR_U, "\n"), npt.NDArray[np.str_]) +assert_type(np.char.rpartition(AR_S, [b"a", b"b", b"c"]), npt.NDArray[np.bytes_]) +assert_type(np.char.rpartition(AR_T, "\n"), AR_TU_alias) + +assert_type(np.char.replace(AR_U, "_", "-"), npt.NDArray[np.str_]) +assert_type(np.char.replace(AR_S, [b"_", b""], [b"a", b"b"]), npt.NDArray[np.bytes_]) +assert_type(np.char.replace(AR_T, "_", "_"), AR_TU_alias) + +assert_type(np.char.split(AR_U, "_"), npt.NDArray[np.object_]) +assert_type(np.char.split(AR_S, maxsplit=[1, 2, 3]), npt.NDArray[np.object_]) +assert_type(np.char.split(AR_T, "_"), npt.NDArray[np.object_]) + +assert_type(np.char.rsplit(AR_U, "_"), npt.NDArray[np.object_]) +assert_type(np.char.rsplit(AR_S, maxsplit=[1, 2, 3]), npt.NDArray[np.object_]) +assert_type(np.char.rsplit(AR_T, "_"), npt.NDArray[np.object_]) + +assert_type(np.char.splitlines(AR_U), npt.NDArray[np.object_]) +assert_type(np.char.splitlines(AR_S, keepends=[True, True, False]), npt.NDArray[np.object_]) +assert_type(np.char.splitlines(AR_T), npt.NDArray[np.object_]) + +assert_type(np.char.lower(AR_U), npt.NDArray[np.str_]) +assert_type(np.char.lower(AR_S), npt.NDArray[np.bytes_]) +assert_type(np.char.lower(AR_T), AR_T_alias) + +assert_type(np.char.upper(AR_U), npt.NDArray[np.str_]) +assert_type(np.char.upper(AR_S), npt.NDArray[np.bytes_]) +assert_type(np.char.upper(AR_T), AR_T_alias) + +assert_type(np.char.swapcase(AR_U), npt.NDArray[np.str_]) +assert_type(np.char.swapcase(AR_S), npt.NDArray[np.bytes_]) +assert_type(np.char.swapcase(AR_T), AR_T_alias) + +assert_type(np.char.title(AR_U), npt.NDArray[np.str_]) +assert_type(np.char.title(AR_S), npt.NDArray[np.bytes_]) +assert_type(np.char.title(AR_T), AR_T_alias) + +assert_type(np.char.zfill(AR_U, 5), npt.NDArray[np.str_]) +assert_type(np.char.zfill(AR_S, [2, 3, 4]), npt.NDArray[np.bytes_]) +assert_type(np.char.zfill(AR_T, 5), AR_T_alias) + +assert_type(np.char.endswith(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.bool]) +assert_type(np.char.endswith(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.bool]) +assert_type(np.char.endswith(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.bool]) + +assert_type(np.char.startswith(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.bool]) +assert_type(np.char.startswith(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.bool]) +assert_type(np.char.startswith(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.bool]) + +assert_type(np.char.find(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.char.find(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(np.char.find(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) + +assert_type(np.char.rfind(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.char.rfind(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(np.char.rfind(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) + +assert_type(np.char.index(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.char.index(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(np.char.index(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) + +assert_type(np.char.rindex(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.char.rindex(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(np.char.rindex(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) + +assert_type(np.char.isalpha(AR_U), npt.NDArray[np.bool]) +assert_type(np.char.isalpha(AR_S), npt.NDArray[np.bool]) +assert_type(np.char.isalpha(AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.isalnum(AR_U), npt.NDArray[np.bool]) +assert_type(np.char.isalnum(AR_S), npt.NDArray[np.bool]) +assert_type(np.char.isalnum(AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.isdecimal(AR_U), npt.NDArray[np.bool]) +assert_type(np.char.isdecimal(AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.isdigit(AR_U), npt.NDArray[np.bool]) +assert_type(np.char.isdigit(AR_S), npt.NDArray[np.bool]) +assert_type(np.char.isdigit(AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.islower(AR_U), npt.NDArray[np.bool]) +assert_type(np.char.islower(AR_S), npt.NDArray[np.bool]) +assert_type(np.char.islower(AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.isnumeric(AR_U), npt.NDArray[np.bool]) +assert_type(np.char.isnumeric(AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.isspace(AR_U), npt.NDArray[np.bool]) +assert_type(np.char.isspace(AR_S), npt.NDArray[np.bool]) +assert_type(np.char.isspace(AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.istitle(AR_U), npt.NDArray[np.bool]) +assert_type(np.char.istitle(AR_S), npt.NDArray[np.bool]) +assert_type(np.char.istitle(AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.isupper(AR_U), npt.NDArray[np.bool]) +assert_type(np.char.isupper(AR_S), npt.NDArray[np.bool]) +assert_type(np.char.isupper(AR_T), npt.NDArray[np.bool]) + +assert_type(np.char.str_len(AR_U), npt.NDArray[np.int_]) +assert_type(np.char.str_len(AR_S), npt.NDArray[np.int_]) +assert_type(np.char.str_len(AR_T), npt.NDArray[np.int_]) + +assert_type(np.char.translate(AR_U, ""), npt.NDArray[np.str_]) +assert_type(np.char.translate(AR_S, ""), npt.NDArray[np.bytes_]) +assert_type(np.char.translate(AR_T, ""), AR_T_alias) + +assert_type(np.char.array(AR_U), np.char.chararray[np_t._AnyShape, np.dtype[np.str_]]) +assert_type(np.char.array(AR_S, order="K"), np.char.chararray[np_t._AnyShape, np.dtype[np.bytes_]]) +assert_type(np.char.array("bob", copy=True), np.char.chararray[np_t._AnyShape, np.dtype[np.str_]]) +assert_type(np.char.array(b"bob", itemsize=5), np.char.chararray[np_t._AnyShape, np.dtype[np.bytes_]]) +assert_type(np.char.array(1, unicode=False), np.char.chararray[np_t._AnyShape, np.dtype[np.bytes_]]) +assert_type(np.char.array(1, unicode=True), np.char.chararray[np_t._AnyShape, np.dtype[np.str_]]) +assert_type(np.char.array(1), np.char.chararray[np_t._AnyShape, np.dtype[np.str_]] | np.char.chararray[np_t._AnyShape, np.dtype[np.bytes_]]) +assert_type(np.char.array(AR_U, unicode=False), np.char.chararray[np_t._AnyShape, np.dtype[np.bytes_]]) +assert_type(np.char.array(AR_S, unicode=True), np.char.chararray[np_t._AnyShape, np.dtype[np.str_]]) + +assert_type(np.char.asarray(AR_U), np.char.chararray[np_t._AnyShape, np.dtype[np.str_]]) +assert_type(np.char.asarray(AR_S, order="K"), np.char.chararray[np_t._AnyShape, np.dtype[np.bytes_]]) +assert_type(np.char.asarray("bob"), np.char.chararray[np_t._AnyShape, np.dtype[np.str_]]) +assert_type(np.char.asarray(b"bob", itemsize=5), np.char.chararray[np_t._AnyShape, np.dtype[np.bytes_]]) +assert_type(np.char.asarray(1, unicode=False), np.char.chararray[np_t._AnyShape, np.dtype[np.bytes_]]) +assert_type(np.char.asarray(1, unicode=True), np.char.chararray[np_t._AnyShape, np.dtype[np.str_]]) +assert_type(np.char.asarray(1), np.char.chararray[np_t._AnyShape, np.dtype[np.str_]] | np.char.chararray[np_t._AnyShape, np.dtype[np.bytes_]]) +assert_type(np.char.asarray(AR_U, unicode=False), np.char.chararray[np_t._AnyShape, np.dtype[np.bytes_]]) +assert_type(np.char.asarray(AR_S, unicode=True), np.char.chararray[np_t._AnyShape, np.dtype[np.str_]]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/chararray.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/chararray.pyi new file mode 100644 index 0000000000000000000000000000000000000000..5c3dc85038db9d2b190db3e4c423d698eeece3ed --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/chararray.pyi @@ -0,0 +1,138 @@ +from typing import Any, TypeAlias, assert_type + +import numpy as np +import numpy.typing as npt + +_BytesCharArray: TypeAlias = np.char.chararray[tuple[Any, ...], np.dtype[np.bytes_]] +_StrCharArray: TypeAlias = np.char.chararray[tuple[Any, ...], np.dtype[np.str_]] + +AR_U: _StrCharArray +AR_S: _BytesCharArray + +assert_type(AR_U == AR_U, npt.NDArray[np.bool]) +assert_type(AR_S == AR_S, npt.NDArray[np.bool]) + +assert_type(AR_U != AR_U, npt.NDArray[np.bool]) +assert_type(AR_S != AR_S, npt.NDArray[np.bool]) + +assert_type(AR_U >= AR_U, npt.NDArray[np.bool]) +assert_type(AR_S >= AR_S, npt.NDArray[np.bool]) + +assert_type(AR_U <= AR_U, npt.NDArray[np.bool]) +assert_type(AR_S <= AR_S, npt.NDArray[np.bool]) + +assert_type(AR_U > AR_U, npt.NDArray[np.bool]) +assert_type(AR_S > AR_S, npt.NDArray[np.bool]) + +assert_type(AR_U < AR_U, npt.NDArray[np.bool]) +assert_type(AR_S < AR_S, npt.NDArray[np.bool]) + +assert_type(AR_U * 5, _StrCharArray) +assert_type(AR_S * [5], _BytesCharArray) + +assert_type(AR_U % "test", _StrCharArray) +assert_type(AR_S % b"test", _BytesCharArray) + +assert_type(AR_U.capitalize(), _StrCharArray) +assert_type(AR_S.capitalize(), _BytesCharArray) + +assert_type(AR_U.center(5), _StrCharArray) +assert_type(AR_S.center([2, 3, 4], b"a"), _BytesCharArray) + +assert_type(AR_U.encode(), _BytesCharArray) +assert_type(AR_S.decode(), _StrCharArray) + +assert_type(AR_U.expandtabs(), _StrCharArray) +assert_type(AR_S.expandtabs(tabsize=4), _BytesCharArray) + +assert_type(AR_U.join("_"), _StrCharArray) +assert_type(AR_S.join([b"_", b""]), _BytesCharArray) + +assert_type(AR_U.ljust(5), _StrCharArray) +assert_type(AR_S.ljust([4, 3, 1], fillchar=[b"a", b"b", b"c"]), _BytesCharArray) +assert_type(AR_S.ljust([4, 3, 1], fillchar="a"), _BytesCharArray) +assert_type(AR_U.rjust(5), _StrCharArray) +assert_type(AR_S.rjust([4, 3, 1], fillchar=[b"a", b"b", b"c"]), _BytesCharArray) + +assert_type(AR_U.lstrip(), _StrCharArray) +assert_type(AR_S.lstrip(chars=b"_"), _BytesCharArray) +assert_type(AR_U.rstrip(), _StrCharArray) +assert_type(AR_S.rstrip(chars=b"_"), _BytesCharArray) +assert_type(AR_U.strip(), _StrCharArray) +assert_type(AR_S.strip(chars=b"_"), _BytesCharArray) + +assert_type(AR_U.partition("\n"), _StrCharArray) +assert_type(AR_S.partition([b"a", b"b", b"c"]), _BytesCharArray) +assert_type(AR_U.rpartition("\n"), _StrCharArray) +assert_type(AR_S.rpartition([b"a", b"b", b"c"]), _BytesCharArray) + +assert_type(AR_U.replace("_", "-"), _StrCharArray) +assert_type(AR_S.replace([b"_", b""], [b"a", b"b"]), _BytesCharArray) + +assert_type(AR_U.split("_"), npt.NDArray[np.object_]) +assert_type(AR_S.split(maxsplit=[1, 2, 3]), npt.NDArray[np.object_]) +assert_type(AR_U.rsplit("_"), npt.NDArray[np.object_]) +assert_type(AR_S.rsplit(maxsplit=[1, 2, 3]), npt.NDArray[np.object_]) + +assert_type(AR_U.splitlines(), npt.NDArray[np.object_]) +assert_type(AR_S.splitlines(keepends=[True, True, False]), npt.NDArray[np.object_]) + +assert_type(AR_U.swapcase(), _StrCharArray) +assert_type(AR_S.swapcase(), _BytesCharArray) + +assert_type(AR_U.title(), _StrCharArray) +assert_type(AR_S.title(), _BytesCharArray) + +assert_type(AR_U.upper(), _StrCharArray) +assert_type(AR_S.upper(), _BytesCharArray) + +assert_type(AR_U.zfill(5), _StrCharArray) +assert_type(AR_S.zfill([2, 3, 4]), _BytesCharArray) + +assert_type(AR_U.count("a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(AR_S.count([b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) + +assert_type(AR_U.endswith("a", start=[1, 2, 3]), npt.NDArray[np.bool]) +assert_type(AR_S.endswith([b"a", b"b", b"c"], end=9), npt.NDArray[np.bool]) +assert_type(AR_U.startswith("a", start=[1, 2, 3]), npt.NDArray[np.bool]) +assert_type(AR_S.startswith([b"a", b"b", b"c"], end=9), npt.NDArray[np.bool]) + +assert_type(AR_U.find("a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(AR_S.find([b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(AR_U.rfind("a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(AR_S.rfind([b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) + +assert_type(AR_U.index("a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(AR_S.index([b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(AR_U.rindex("a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(AR_S.rindex([b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) + +assert_type(AR_U.isalpha(), npt.NDArray[np.bool]) +assert_type(AR_S.isalpha(), npt.NDArray[np.bool]) + +assert_type(AR_U.isalnum(), npt.NDArray[np.bool]) +assert_type(AR_S.isalnum(), npt.NDArray[np.bool]) + +assert_type(AR_U.isdecimal(), npt.NDArray[np.bool]) +assert_type(AR_S.isdecimal(), npt.NDArray[np.bool]) + +assert_type(AR_U.isdigit(), npt.NDArray[np.bool]) +assert_type(AR_S.isdigit(), npt.NDArray[np.bool]) + +assert_type(AR_U.islower(), npt.NDArray[np.bool]) +assert_type(AR_S.islower(), npt.NDArray[np.bool]) + +assert_type(AR_U.isnumeric(), npt.NDArray[np.bool]) +assert_type(AR_S.isnumeric(), npt.NDArray[np.bool]) + +assert_type(AR_U.isspace(), npt.NDArray[np.bool]) +assert_type(AR_S.isspace(), npt.NDArray[np.bool]) + +assert_type(AR_U.istitle(), npt.NDArray[np.bool]) +assert_type(AR_S.istitle(), npt.NDArray[np.bool]) + +assert_type(AR_U.isupper(), npt.NDArray[np.bool]) +assert_type(AR_S.isupper(), npt.NDArray[np.bool]) + +assert_type(AR_U.__array_finalize__(object()), None) +assert_type(AR_S.__array_finalize__(object()), None) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/comparisons.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/comparisons.pyi new file mode 100644 index 0000000000000000000000000000000000000000..6df5a3d94314629213c5c28fa77ae62a310872dd --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/comparisons.pyi @@ -0,0 +1,264 @@ +import decimal +import fractions +from typing import assert_type + +import numpy as np +import numpy.typing as npt + +c16 = np.complex128() +f8 = np.float64() +i8 = np.int64() +u8 = np.uint64() + +c8 = np.complex64() +f4 = np.float32() +i4 = np.int32() +u4 = np.uint32() + +dt = np.datetime64(0, "D") +td = np.timedelta64(0, "D") + +b_ = np.bool() + +b = False +c = complex() +f = 0.0 +i = 0 + +AR = np.array([0], dtype=np.int64) +AR.setflags(write=False) + +SEQ = (0, 1, 2, 3, 4) + +# object-like comparisons + +assert_type(i8 > fractions.Fraction(1, 5), np.bool) +assert_type(i8 > [fractions.Fraction(1, 5)], npt.NDArray[np.bool]) +assert_type(i8 > decimal.Decimal("1.5"), np.bool) +assert_type(i8 > [decimal.Decimal("1.5")], npt.NDArray[np.bool]) + +# Time structures + +assert_type(dt > dt, np.bool) + +assert_type(td > td, np.bool) +assert_type(td > i, np.bool) +assert_type(td > i4, np.bool) +assert_type(td > i8, np.bool) + +assert_type(td > AR, npt.NDArray[np.bool]) +assert_type(td > SEQ, npt.NDArray[np.bool]) +assert_type(AR > SEQ, npt.NDArray[np.bool]) +assert_type(AR > td, npt.NDArray[np.bool]) +assert_type(SEQ > td, npt.NDArray[np.bool]) +assert_type(SEQ > AR, npt.NDArray[np.bool]) + +# boolean + +assert_type(b_ > b, np.bool) +assert_type(b_ > b_, np.bool) +assert_type(b_ > i, np.bool) +assert_type(b_ > i8, np.bool) +assert_type(b_ > i4, np.bool) +assert_type(b_ > u8, np.bool) +assert_type(b_ > u4, np.bool) +assert_type(b_ > f, np.bool) +assert_type(b_ > f8, np.bool) +assert_type(b_ > f4, np.bool) +assert_type(b_ > c, np.bool) +assert_type(b_ > c16, np.bool) +assert_type(b_ > c8, np.bool) +assert_type(b_ > AR, npt.NDArray[np.bool]) +assert_type(b_ > SEQ, npt.NDArray[np.bool]) + +# Complex + +assert_type(c16 > c16, np.bool) +assert_type(c16 > f8, np.bool) +assert_type(c16 > i8, np.bool) +assert_type(c16 > c8, np.bool) +assert_type(c16 > f4, np.bool) +assert_type(c16 > i4, np.bool) +assert_type(c16 > b_, np.bool) +assert_type(c16 > b, np.bool) +assert_type(c16 > c, np.bool) +assert_type(c16 > f, np.bool) +assert_type(c16 > i, np.bool) +assert_type(c16 > AR, npt.NDArray[np.bool]) +assert_type(c16 > SEQ, npt.NDArray[np.bool]) + +assert_type(c16 > c16, np.bool) +assert_type(f8 > c16, np.bool) +assert_type(i8 > c16, np.bool) +assert_type(c8 > c16, np.bool) +assert_type(f4 > c16, np.bool) +assert_type(i4 > c16, np.bool) +assert_type(b_ > c16, np.bool) +assert_type(b > c16, np.bool) +assert_type(c > c16, np.bool) +assert_type(f > c16, np.bool) +assert_type(i > c16, np.bool) +assert_type(AR > c16, npt.NDArray[np.bool]) +assert_type(SEQ > c16, npt.NDArray[np.bool]) + +assert_type(c8 > c16, np.bool) +assert_type(c8 > f8, np.bool) +assert_type(c8 > i8, np.bool) +assert_type(c8 > c8, np.bool) +assert_type(c8 > f4, np.bool) +assert_type(c8 > i4, np.bool) +assert_type(c8 > b_, np.bool) +assert_type(c8 > b, np.bool) +assert_type(c8 > c, np.bool) +assert_type(c8 > f, np.bool) +assert_type(c8 > i, np.bool) +assert_type(c8 > AR, npt.NDArray[np.bool]) +assert_type(c8 > SEQ, npt.NDArray[np.bool]) + +assert_type(c16 > c8, np.bool) +assert_type(f8 > c8, np.bool) +assert_type(i8 > c8, np.bool) +assert_type(c8 > c8, np.bool) +assert_type(f4 > c8, np.bool) +assert_type(i4 > c8, np.bool) +assert_type(b_ > c8, np.bool) +assert_type(b > c8, np.bool) +assert_type(c > c8, np.bool) +assert_type(f > c8, np.bool) +assert_type(i > c8, np.bool) +assert_type(AR > c8, npt.NDArray[np.bool]) +assert_type(SEQ > c8, npt.NDArray[np.bool]) + +# Float + +assert_type(f8 > f8, np.bool) +assert_type(f8 > i8, np.bool) +assert_type(f8 > f4, np.bool) +assert_type(f8 > i4, np.bool) +assert_type(f8 > b_, np.bool) +assert_type(f8 > b, np.bool) +assert_type(f8 > c, np.bool) +assert_type(f8 > f, np.bool) +assert_type(f8 > i, np.bool) +assert_type(f8 > AR, npt.NDArray[np.bool]) +assert_type(f8 > SEQ, npt.NDArray[np.bool]) + +assert_type(f8 > f8, np.bool) +assert_type(i8 > f8, np.bool) +assert_type(f4 > f8, np.bool) +assert_type(i4 > f8, np.bool) +assert_type(b_ > f8, np.bool) +assert_type(b > f8, np.bool) +assert_type(c > f8, np.bool) +assert_type(f > f8, np.bool) +assert_type(i > f8, np.bool) +assert_type(AR > f8, npt.NDArray[np.bool]) +assert_type(SEQ > f8, npt.NDArray[np.bool]) + +assert_type(f4 > f8, np.bool) +assert_type(f4 > i8, np.bool) +assert_type(f4 > f4, np.bool) +assert_type(f4 > i4, np.bool) +assert_type(f4 > b_, np.bool) +assert_type(f4 > b, np.bool) +assert_type(f4 > c, np.bool) +assert_type(f4 > f, np.bool) +assert_type(f4 > i, np.bool) +assert_type(f4 > AR, npt.NDArray[np.bool]) +assert_type(f4 > SEQ, npt.NDArray[np.bool]) + +assert_type(f8 > f4, np.bool) +assert_type(i8 > f4, np.bool) +assert_type(f4 > f4, np.bool) +assert_type(i4 > f4, np.bool) +assert_type(b_ > f4, np.bool) +assert_type(b > f4, np.bool) +assert_type(c > f4, np.bool) +assert_type(f > f4, np.bool) +assert_type(i > f4, np.bool) +assert_type(AR > f4, npt.NDArray[np.bool]) +assert_type(SEQ > f4, npt.NDArray[np.bool]) + +# Int + +assert_type(i8 > i8, np.bool) +assert_type(i8 > u8, np.bool) +assert_type(i8 > i4, np.bool) +assert_type(i8 > u4, np.bool) +assert_type(i8 > b_, np.bool) +assert_type(i8 > b, np.bool) +assert_type(i8 > c, np.bool) +assert_type(i8 > f, np.bool) +assert_type(i8 > i, np.bool) +assert_type(i8 > AR, npt.NDArray[np.bool]) +assert_type(i8 > SEQ, npt.NDArray[np.bool]) + +assert_type(u8 > u8, np.bool) +assert_type(u8 > i4, np.bool) +assert_type(u8 > u4, np.bool) +assert_type(u8 > b_, np.bool) +assert_type(u8 > b, np.bool) +assert_type(u8 > c, np.bool) +assert_type(u8 > f, np.bool) +assert_type(u8 > i, np.bool) +assert_type(u8 > AR, npt.NDArray[np.bool]) +assert_type(u8 > SEQ, npt.NDArray[np.bool]) + +assert_type(i8 > i8, np.bool) +assert_type(u8 > i8, np.bool) +assert_type(i4 > i8, np.bool) +assert_type(u4 > i8, np.bool) +assert_type(b_ > i8, np.bool) +assert_type(b > i8, np.bool) +assert_type(c > i8, np.bool) +assert_type(f > i8, np.bool) +assert_type(i > i8, np.bool) +assert_type(AR > i8, npt.NDArray[np.bool]) +assert_type(SEQ > i8, npt.NDArray[np.bool]) + +assert_type(u8 > u8, np.bool) +assert_type(i4 > u8, np.bool) +assert_type(u4 > u8, np.bool) +assert_type(b_ > u8, np.bool) +assert_type(b > u8, np.bool) +assert_type(c > u8, np.bool) +assert_type(f > u8, np.bool) +assert_type(i > u8, np.bool) +assert_type(AR > u8, npt.NDArray[np.bool]) +assert_type(SEQ > u8, npt.NDArray[np.bool]) + +assert_type(i4 > i8, np.bool) +assert_type(i4 > i4, np.bool) +assert_type(i4 > i, np.bool) +assert_type(i4 > b_, np.bool) +assert_type(i4 > b, np.bool) +assert_type(i4 > AR, npt.NDArray[np.bool]) +assert_type(i4 > SEQ, npt.NDArray[np.bool]) + +assert_type(u4 > i8, np.bool) +assert_type(u4 > i4, np.bool) +assert_type(u4 > u8, np.bool) +assert_type(u4 > u4, np.bool) +assert_type(u4 > i, np.bool) +assert_type(u4 > b_, np.bool) +assert_type(u4 > b, np.bool) +assert_type(u4 > AR, npt.NDArray[np.bool]) +assert_type(u4 > SEQ, npt.NDArray[np.bool]) + +assert_type(i8 > i4, np.bool) +assert_type(i4 > i4, np.bool) +assert_type(i > i4, np.bool) +assert_type(b_ > i4, np.bool) +assert_type(b > i4, np.bool) +assert_type(AR > i4, npt.NDArray[np.bool]) +assert_type(SEQ > i4, npt.NDArray[np.bool]) + +assert_type(i8 > u4, np.bool) +assert_type(i4 > u4, np.bool) +assert_type(u8 > u4, np.bool) +assert_type(u4 > u4, np.bool) +assert_type(b_ > u4, np.bool) +assert_type(b > u4, np.bool) +assert_type(i > u4, np.bool) +assert_type(AR > u4, npt.NDArray[np.bool]) +assert_type(SEQ > u4, npt.NDArray[np.bool]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/constants.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/constants.pyi new file mode 100644 index 0000000000000000000000000000000000000000..d4474f46ce7e19571125dc45669692a1c501a5b9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/constants.pyi @@ -0,0 +1,14 @@ +from typing import Literal, assert_type + +import numpy as np + +assert_type(np.e, float) +assert_type(np.euler_gamma, float) +assert_type(np.inf, float) +assert_type(np.nan, float) +assert_type(np.pi, float) + +assert_type(np.little_endian, bool) + +assert_type(np.True_, np.bool[Literal[True]]) +assert_type(np.False_, np.bool[Literal[False]]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ctypeslib.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ctypeslib.pyi new file mode 100644 index 0000000000000000000000000000000000000000..0564d725cf62f2419460b0f7cdabfd890947438e --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ctypeslib.pyi @@ -0,0 +1,81 @@ +import ctypes as ct +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt +from numpy import ctypeslib + +AR_bool: npt.NDArray[np.bool] +AR_ubyte: npt.NDArray[np.ubyte] +AR_ushort: npt.NDArray[np.ushort] +AR_uintc: npt.NDArray[np.uintc] +AR_ulong: npt.NDArray[np.ulong] +AR_ulonglong: npt.NDArray[np.ulonglong] +AR_byte: npt.NDArray[np.byte] +AR_short: npt.NDArray[np.short] +AR_intc: npt.NDArray[np.intc] +AR_long: npt.NDArray[np.long] +AR_longlong: npt.NDArray[np.longlong] +AR_single: npt.NDArray[np.single] +AR_double: npt.NDArray[np.double] +AR_longdouble: npt.NDArray[np.longdouble] +AR_void: npt.NDArray[np.void] + +pointer: ct._Pointer[Any] + +assert_type(np.ctypeslib.c_intp(), ctypeslib.c_intp) + +assert_type(np.ctypeslib.ndpointer(), type[ctypeslib._ndptr[None]]) +assert_type(np.ctypeslib.ndpointer(dtype=np.float64), type[ctypeslib._ndptr[np.dtype[np.float64]]]) +assert_type(np.ctypeslib.ndpointer(dtype=float), type[ctypeslib._ndptr[np.dtype]]) +assert_type(np.ctypeslib.ndpointer(shape=(10, 3)), type[ctypeslib._ndptr[None]]) +assert_type(np.ctypeslib.ndpointer(np.int64, shape=(10, 3)), type[ctypeslib._concrete_ndptr[np.dtype[np.int64]]]) +assert_type(np.ctypeslib.ndpointer(int, shape=(1,)), type[np.ctypeslib._concrete_ndptr[np.dtype]]) + +assert_type(np.ctypeslib.as_ctypes_type(np.bool), type[ct.c_bool]) +assert_type(np.ctypeslib.as_ctypes_type(np.ubyte), type[ct.c_ubyte]) +assert_type(np.ctypeslib.as_ctypes_type(np.ushort), type[ct.c_ushort]) +assert_type(np.ctypeslib.as_ctypes_type(np.uintc), type[ct.c_uint]) +assert_type(np.ctypeslib.as_ctypes_type(np.byte), type[ct.c_byte]) +assert_type(np.ctypeslib.as_ctypes_type(np.short), type[ct.c_short]) +assert_type(np.ctypeslib.as_ctypes_type(np.intc), type[ct.c_int]) +assert_type(np.ctypeslib.as_ctypes_type(np.single), type[ct.c_float]) +assert_type(np.ctypeslib.as_ctypes_type(np.double), type[ct.c_double]) +assert_type(np.ctypeslib.as_ctypes_type(ct.c_double), type[ct.c_double]) +assert_type(np.ctypeslib.as_ctypes_type("q"), type[ct.c_longlong]) +assert_type(np.ctypeslib.as_ctypes_type([("i8", np.int64), ("f8", np.float64)]), type[Any]) +assert_type(np.ctypeslib.as_ctypes_type("i8"), type[Any]) +assert_type(np.ctypeslib.as_ctypes_type("f8"), type[Any]) + +assert_type(np.ctypeslib.as_ctypes(AR_bool.take(0)), ct.c_bool) +assert_type(np.ctypeslib.as_ctypes(AR_ubyte.take(0)), ct.c_ubyte) +assert_type(np.ctypeslib.as_ctypes(AR_ushort.take(0)), ct.c_ushort) +assert_type(np.ctypeslib.as_ctypes(AR_uintc.take(0)), ct.c_uint) + +assert_type(np.ctypeslib.as_ctypes(AR_byte.take(0)), ct.c_byte) +assert_type(np.ctypeslib.as_ctypes(AR_short.take(0)), ct.c_short) +assert_type(np.ctypeslib.as_ctypes(AR_intc.take(0)), ct.c_int) +assert_type(np.ctypeslib.as_ctypes(AR_single.take(0)), ct.c_float) +assert_type(np.ctypeslib.as_ctypes(AR_double.take(0)), ct.c_double) +assert_type(np.ctypeslib.as_ctypes(AR_void.take(0)), Any) +assert_type(np.ctypeslib.as_ctypes(AR_bool), ct.Array[ct.c_bool]) +assert_type(np.ctypeslib.as_ctypes(AR_ubyte), ct.Array[ct.c_ubyte]) +assert_type(np.ctypeslib.as_ctypes(AR_ushort), ct.Array[ct.c_ushort]) +assert_type(np.ctypeslib.as_ctypes(AR_uintc), ct.Array[ct.c_uint]) +assert_type(np.ctypeslib.as_ctypes(AR_byte), ct.Array[ct.c_byte]) +assert_type(np.ctypeslib.as_ctypes(AR_short), ct.Array[ct.c_short]) +assert_type(np.ctypeslib.as_ctypes(AR_intc), ct.Array[ct.c_int]) +assert_type(np.ctypeslib.as_ctypes(AR_single), ct.Array[ct.c_float]) +assert_type(np.ctypeslib.as_ctypes(AR_double), ct.Array[ct.c_double]) +assert_type(np.ctypeslib.as_ctypes(AR_void), ct.Array[Any]) + +assert_type(np.ctypeslib.as_array(AR_ubyte), npt.NDArray[np.ubyte]) +assert_type(np.ctypeslib.as_array(1), npt.NDArray[Any]) +assert_type(np.ctypeslib.as_array(pointer), npt.NDArray[Any]) + +assert_type(np.ctypeslib.as_ctypes_type(np.long), type[ct.c_long]) +assert_type(np.ctypeslib.as_ctypes_type(np.ulong), type[ct.c_ulong]) +assert_type(np.ctypeslib.as_ctypes(AR_ulong), ct.Array[ct.c_ulong]) +assert_type(np.ctypeslib.as_ctypes(AR_long), ct.Array[ct.c_long]) +assert_type(np.ctypeslib.as_ctypes(AR_long.take(0)), ct.c_long) +assert_type(np.ctypeslib.as_ctypes(AR_ulong.take(0)), ct.c_ulong) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/datasource.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/datasource.pyi new file mode 100644 index 0000000000000000000000000000000000000000..9f017911a1ff89dd1f80c059fb13976bc60cd12b --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/datasource.pyi @@ -0,0 +1,23 @@ +from pathlib import Path +from typing import IO, Any, assert_type + +import numpy as np + +path1: Path +path2: str + +d1 = np.lib.npyio.DataSource(path1) +d2 = np.lib.npyio.DataSource(path2) +d3 = np.lib.npyio.DataSource(None) + +assert_type(d1.abspath("..."), str) +assert_type(d2.abspath("..."), str) +assert_type(d3.abspath("..."), str) + +assert_type(d1.exists("..."), bool) +assert_type(d2.exists("..."), bool) +assert_type(d3.exists("..."), bool) + +assert_type(d1.open("...", "r"), IO[Any]) +assert_type(d2.open("...", encoding="utf8"), IO[Any]) +assert_type(d3.open("...", newline="/n"), IO[Any]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/dtype.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/dtype.pyi new file mode 100644 index 0000000000000000000000000000000000000000..7f670b3be51c6507b5cba4469f7e96c878cea571 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/dtype.pyi @@ -0,0 +1,132 @@ +import ctypes as ct +import datetime as dt +from decimal import Decimal +from fractions import Fraction +from typing import Any, Literal, LiteralString, TypeAlias, assert_type + +import numpy as np +from numpy.dtypes import StringDType + +# a combination of likely `object` dtype-like candidates (no `_co`) +_PyObjectLike: TypeAlias = Decimal | Fraction | dt.datetime | dt.timedelta + +dtype_U: np.dtype[np.str_] +dtype_V: np.dtype[np.void] +dtype_i8: np.dtype[np.int64] + +py_object: type[_PyObjectLike] +py_character: type[str | bytes] + +ct_floating: type[ct.c_float | ct.c_double | ct.c_longdouble] +ct_number: type[ct.c_uint8 | ct.c_float] +ct_generic: type[ct.c_bool | ct.c_char] + +cs_integer: Literal["u1", "V", "S"] +cs_generic: Literal["H", "U", "h", "|M8[Y]", "?"] + +dt_inexact: np.dtype[np.inexact] +dt_string: StringDType + +assert_type(np.dtype(np.float64), np.dtype[np.float64]) +assert_type(np.dtype(np.float64, metadata={"test": "test"}), np.dtype[np.float64]) +assert_type(np.dtype(np.int64), np.dtype[np.int64]) + +# String aliases +assert_type(np.dtype("float64"), np.dtype[np.float64]) +assert_type(np.dtype("float32"), np.dtype[np.float32]) +assert_type(np.dtype("int64"), np.dtype[np.int64]) +assert_type(np.dtype("int32"), np.dtype[np.int32]) +assert_type(np.dtype("bool"), np.dtype[np.bool]) +assert_type(np.dtype("bytes"), np.dtype[np.bytes_]) +assert_type(np.dtype("str"), np.dtype[np.str_]) + +# Python types +assert_type(np.dtype(bool), np.dtype[np.bool]) +assert_type(np.dtype(int), np.dtype[np.int_ | np.bool]) +assert_type(np.dtype(float), np.dtype[np.float64 | np.int_ | np.bool]) +assert_type(np.dtype(complex), np.dtype[np.complex128 | np.float64 | np.int_ | np.bool]) +assert_type(np.dtype(py_object), np.dtype[np.object_]) +assert_type(np.dtype(str), np.dtype[np.str_]) +assert_type(np.dtype(bytes), np.dtype[np.bytes_]) +assert_type(np.dtype(memoryview), np.dtype[np.void]) +assert_type(np.dtype(py_character), np.dtype[np.character]) + +# object types +assert_type(np.dtype(list), np.dtype[np.object_]) +assert_type(np.dtype(dt.datetime), np.dtype[np.object_]) +assert_type(np.dtype(dt.timedelta), np.dtype[np.object_]) +assert_type(np.dtype(Decimal), np.dtype[np.object_]) +assert_type(np.dtype(Fraction), np.dtype[np.object_]) + +# char-codes +assert_type(np.dtype("?"), np.dtype[np.bool]) +assert_type(np.dtype("|b1"), np.dtype[np.bool]) +assert_type(np.dtype("u1"), np.dtype[np.uint8]) +assert_type(np.dtype("l"), np.dtype[np.long]) +assert_type(np.dtype("longlong"), np.dtype[np.longlong]) +assert_type(np.dtype(">g"), np.dtype[np.longdouble]) +assert_type(np.dtype(cs_integer), np.dtype[np.integer]) + +# ctypes +assert_type(np.dtype(ct.c_double), np.dtype[np.float64]) # see numpy/numpy#29155 +assert_type(np.dtype(ct.c_longlong), np.dtype[np.longlong]) +assert_type(np.dtype(ct.c_uint32), np.dtype[np.uint32]) +assert_type(np.dtype(ct.c_bool), np.dtype[np.bool]) +assert_type(np.dtype(ct.c_char), np.dtype[np.bytes_]) +assert_type(np.dtype(ct.py_object), np.dtype[np.object_]) + +# Special case for None +assert_type(np.dtype(None), np.dtype[np.float64]) + +# dtypes of dtypes +assert_type(np.dtype(np.dtype(np.float64)), np.dtype[np.float64]) +assert_type(np.dtype(dt_inexact), np.dtype[np.inexact]) + +# Parameterized dtypes +assert_type(np.dtype("S8"), np.dtype) + +# Void +assert_type(np.dtype(("U", 10)), np.dtype[np.void]) +assert_type(np.dtype({"formats": (int, "u8"), "names": ("n", "B")}), np.dtype[np.void]) + +# StringDType +assert_type(np.dtype(dt_string), StringDType) +assert_type(np.dtype("T"), StringDType) +assert_type(np.dtype("=T"), StringDType) +assert_type(np.dtype("|T"), StringDType) + +# Methods and attributes +assert_type(dtype_U.base, np.dtype) +assert_type(dtype_U.subdtype, tuple[np.dtype, tuple[Any, ...]] | None) +assert_type(dtype_U.newbyteorder(), np.dtype[np.str_]) +assert_type(dtype_U.type, type[np.str_]) +assert_type(dtype_U.name, LiteralString) +assert_type(dtype_U.names, tuple[str, ...] | None) + +assert_type(dtype_U * 0, np.dtype[np.str_]) +assert_type(dtype_U * 1, np.dtype[np.str_]) +assert_type(dtype_U * 2, np.dtype[np.str_]) + +assert_type(dtype_i8 * 0, np.dtype[np.void]) +assert_type(dtype_i8 * 1, np.dtype[np.int64]) +assert_type(dtype_i8 * 2, np.dtype[np.void]) + +assert_type(0 * dtype_U, np.dtype[np.str_]) +assert_type(1 * dtype_U, np.dtype[np.str_]) +assert_type(2 * dtype_U, np.dtype[np.str_]) + +assert_type(0 * dtype_i8, np.dtype) +assert_type(1 * dtype_i8, np.dtype) +assert_type(2 * dtype_i8, np.dtype) + +assert_type(dtype_V["f0"], np.dtype) +assert_type(dtype_V[0], np.dtype) +assert_type(dtype_V[["f0", "f1"]], np.dtype[np.void]) +assert_type(dtype_V[["f0"]], np.dtype[np.void]) + +class _D: + __numpy_dtype__: np.dtype[np.int8] + +assert_type(np.dtype(_D()), np.dtype[np.int8]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/einsumfunc.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/einsumfunc.pyi new file mode 100644 index 0000000000000000000000000000000000000000..cc58f006e249bb5fd520fa45bbe1f1690e4c203d --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/einsumfunc.pyi @@ -0,0 +1,39 @@ +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt + +AR_LIKE_b: list[bool] +AR_LIKE_u: list[np.uint32] +AR_LIKE_i: list[int] +AR_LIKE_f: list[float] +AR_LIKE_c: list[complex] +AR_LIKE_U: list[str] +AR_o: npt.NDArray[np.object_] + +OUT_f: npt.NDArray[np.float64] + +assert_type(np.einsum("i,i->i", AR_LIKE_b, AR_LIKE_b), Any) +assert_type(np.einsum("i,i->i", AR_o, AR_o), Any) +assert_type(np.einsum("i,i->i", AR_LIKE_u, AR_LIKE_u), Any) +assert_type(np.einsum("i,i->i", AR_LIKE_i, AR_LIKE_i), Any) +assert_type(np.einsum("i,i->i", AR_LIKE_f, AR_LIKE_f), Any) +assert_type(np.einsum("i,i->i", AR_LIKE_c, AR_LIKE_c), Any) +assert_type(np.einsum("i,i->i", AR_LIKE_b, AR_LIKE_i), Any) +assert_type(np.einsum("i,i,i,i->i", AR_LIKE_b, AR_LIKE_u, AR_LIKE_i, AR_LIKE_c), Any) + +assert_type(np.einsum("i,i->i", AR_LIKE_c, AR_LIKE_c, out=OUT_f), npt.NDArray[np.float64]) +assert_type(np.einsum("i,i->i", AR_LIKE_U, AR_LIKE_U, dtype=bool, casting="unsafe", out=OUT_f), npt.NDArray[np.float64]) +assert_type(np.einsum("i,i->i", AR_LIKE_f, AR_LIKE_f, dtype="c16"), Any) +assert_type(np.einsum("i,i->i", AR_LIKE_U, AR_LIKE_U, dtype=bool, casting="unsafe"), Any) + +assert_type(np.einsum_path("i,i->i", AR_LIKE_b, AR_LIKE_b), tuple[list[Any], str]) +assert_type(np.einsum_path("i,i->i", AR_LIKE_u, AR_LIKE_u), tuple[list[Any], str]) +assert_type(np.einsum_path("i,i->i", AR_LIKE_i, AR_LIKE_i), tuple[list[Any], str]) +assert_type(np.einsum_path("i,i->i", AR_LIKE_f, AR_LIKE_f), tuple[list[Any], str]) +assert_type(np.einsum_path("i,i->i", AR_LIKE_c, AR_LIKE_c), tuple[list[Any], str]) +assert_type(np.einsum_path("i,i->i", AR_LIKE_b, AR_LIKE_i), tuple[list[Any], str]) +assert_type(np.einsum_path("i,i,i,i->i", AR_LIKE_b, AR_LIKE_u, AR_LIKE_i, AR_LIKE_c), tuple[list[Any], str]) + +assert_type(np.einsum([[1, 1], [1, 1]], AR_LIKE_i, AR_LIKE_i), Any) +assert_type(np.einsum_path([[1, 1], [1, 1]], AR_LIKE_i, AR_LIKE_i), tuple[list[Any], str]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/emath.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/emath.pyi new file mode 100644 index 0000000000000000000000000000000000000000..1d7bff893e73445dec3f34e5078ebe19a7d893ed --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/emath.pyi @@ -0,0 +1,54 @@ +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt + +AR_f8: npt.NDArray[np.float64] +AR_c16: npt.NDArray[np.complex128] +f8: np.float64 +c16: np.complex128 + +assert_type(np.emath.sqrt(f8), Any) +assert_type(np.emath.sqrt(AR_f8), npt.NDArray[Any]) +assert_type(np.emath.sqrt(c16), np.complexfloating) +assert_type(np.emath.sqrt(AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.emath.log(f8), Any) +assert_type(np.emath.log(AR_f8), npt.NDArray[Any]) +assert_type(np.emath.log(c16), np.complexfloating) +assert_type(np.emath.log(AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.emath.log10(f8), Any) +assert_type(np.emath.log10(AR_f8), npt.NDArray[Any]) +assert_type(np.emath.log10(c16), np.complexfloating) +assert_type(np.emath.log10(AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.emath.log2(f8), Any) +assert_type(np.emath.log2(AR_f8), npt.NDArray[Any]) +assert_type(np.emath.log2(c16), np.complexfloating) +assert_type(np.emath.log2(AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.emath.logn(f8, 2), Any) +assert_type(np.emath.logn(AR_f8, 4), npt.NDArray[Any]) +assert_type(np.emath.logn(f8, 1j), np.complexfloating) +assert_type(np.emath.logn(AR_c16, 1.5), npt.NDArray[np.complexfloating]) + +assert_type(np.emath.power(f8, 2), Any) +assert_type(np.emath.power(AR_f8, 4), npt.NDArray[Any]) +assert_type(np.emath.power(f8, 2j), np.complexfloating) +assert_type(np.emath.power(AR_c16, 1.5), npt.NDArray[np.complexfloating]) + +assert_type(np.emath.arccos(f8), Any) +assert_type(np.emath.arccos(AR_f8), npt.NDArray[Any]) +assert_type(np.emath.arccos(c16), np.complexfloating) +assert_type(np.emath.arccos(AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.emath.arcsin(f8), Any) +assert_type(np.emath.arcsin(AR_f8), npt.NDArray[Any]) +assert_type(np.emath.arcsin(c16), np.complexfloating) +assert_type(np.emath.arcsin(AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.emath.arctanh(f8), Any) +assert_type(np.emath.arctanh(AR_f8), npt.NDArray[Any]) +assert_type(np.emath.arctanh(c16), np.complexfloating) +assert_type(np.emath.arctanh(AR_c16), npt.NDArray[np.complexfloating]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/fft.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/fft.pyi new file mode 100644 index 0000000000000000000000000000000000000000..dacd2b89777c1453088f2fedee82996bfb1e66ca --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/fft.pyi @@ -0,0 +1,37 @@ +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt + +AR_f8: npt.NDArray[np.float64] +AR_c16: npt.NDArray[np.complex128] +AR_LIKE_f8: list[float] + +assert_type(np.fft.fftshift(AR_f8), npt.NDArray[np.float64]) +assert_type(np.fft.fftshift(AR_LIKE_f8, axes=0), npt.NDArray[Any]) + +assert_type(np.fft.ifftshift(AR_f8), npt.NDArray[np.float64]) +assert_type(np.fft.ifftshift(AR_LIKE_f8, axes=0), npt.NDArray[Any]) + +assert_type(np.fft.fftfreq(5, AR_f8), npt.NDArray[np.floating]) +assert_type(np.fft.fftfreq(np.int64(), AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.fft.fftfreq(5, AR_f8), npt.NDArray[np.floating]) +assert_type(np.fft.fftfreq(np.int64(), AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.fft.fft(AR_f8), npt.NDArray[np.complex128]) +assert_type(np.fft.ifft(AR_f8, axis=1), npt.NDArray[np.complex128]) +assert_type(np.fft.rfft(AR_f8, n=None), npt.NDArray[np.complex128]) +assert_type(np.fft.irfft(AR_f8, norm="ortho"), npt.NDArray[np.float64]) +assert_type(np.fft.hfft(AR_f8, n=2), npt.NDArray[np.float64]) +assert_type(np.fft.ihfft(AR_f8), npt.NDArray[np.complex128]) + +assert_type(np.fft.fftn(AR_f8), npt.NDArray[np.complex128]) +assert_type(np.fft.ifftn(AR_f8), npt.NDArray[np.complex128]) +assert_type(np.fft.rfftn(AR_f8), npt.NDArray[np.complex128]) +assert_type(np.fft.irfftn(AR_f8), npt.NDArray[np.float64]) + +assert_type(np.fft.rfft2(AR_f8), npt.NDArray[np.complex128]) +assert_type(np.fft.ifft2(AR_f8), npt.NDArray[np.complex128]) +assert_type(np.fft.fft2(AR_f8), npt.NDArray[np.complex128]) +assert_type(np.fft.irfft2(AR_f8), npt.NDArray[np.float64]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/flatiter.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/flatiter.pyi new file mode 100644 index 0000000000000000000000000000000000000000..98d61a6d342825dc67755dae40f8407e6f96aa1c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/flatiter.pyi @@ -0,0 +1,86 @@ +from typing import Any, TypeAlias, assert_type + +import numpy as np + +_ArrayND: TypeAlias = np.ndarray[tuple[Any, ...], np.dtypes.StrDType] +_Array1D: TypeAlias = np.ndarray[tuple[int], np.dtypes.BytesDType] +_Array2D: TypeAlias = np.ndarray[tuple[int, int], np.dtypes.Int8DType] + +_a_nd: np.flatiter[_ArrayND] +_a_1d: np.flatiter[_Array1D] +_a_2d: np.flatiter[_Array2D] + +### + +# .base +assert_type(_a_nd.base, _ArrayND) +assert_type(_a_1d.base, _Array1D) +assert_type(_a_2d.base, _Array2D) + +# .coords +assert_type(_a_nd.coords, tuple[Any, ...]) +assert_type(_a_1d.coords, tuple[int]) +assert_type(_a_2d.coords, tuple[int, int]) + +# .index +assert_type(_a_nd.index, int) +assert_type(_a_1d.index, int) +assert_type(_a_2d.index, int) + +# .__len__() +assert_type(len(_a_nd), int) +assert_type(len(_a_1d), int) +assert_type(len(_a_2d), int) + +# .__iter__() +assert_type(iter(_a_nd), np.flatiter[_ArrayND]) +assert_type(iter(_a_1d), np.flatiter[_Array1D]) +assert_type(iter(_a_2d), np.flatiter[_Array2D]) + +# .__next__() +assert_type(next(_a_nd), np.str_) +assert_type(next(_a_1d), np.bytes_) +assert_type(next(_a_2d), np.int8) + +# .__getitem__(()) +assert_type(_a_nd[()], _ArrayND) +assert_type(_a_1d[()], _Array1D) +assert_type(_a_2d[()], _Array2D) +# .__getitem__(int) +assert_type(_a_nd[0], np.str_) +assert_type(_a_1d[0], np.bytes_) +assert_type(_a_2d[0], np.int8) +# .__getitem__(slice) +assert_type(_a_nd[::], np.ndarray[tuple[int], np.dtypes.StrDType]) +assert_type(_a_1d[::], np.ndarray[tuple[int], np.dtypes.BytesDType]) +assert_type(_a_2d[::], np.ndarray[tuple[int], np.dtypes.Int8DType]) +# .__getitem__(EllipsisType) +assert_type(_a_nd[...], np.ndarray[tuple[int], np.dtypes.StrDType]) +assert_type(_a_1d[...], np.ndarray[tuple[int], np.dtypes.BytesDType]) +assert_type(_a_2d[...], np.ndarray[tuple[int], np.dtypes.Int8DType]) +# .__getitem__(list[!]) +assert_type(_a_nd[[]], np.ndarray[tuple[int], np.dtypes.StrDType]) +assert_type(_a_1d[[]], np.ndarray[tuple[int], np.dtypes.BytesDType]) +assert_type(_a_2d[[]], np.ndarray[tuple[int], np.dtypes.Int8DType]) +# .__getitem__(list[int]) +assert_type(_a_nd[[0]], np.ndarray[tuple[int], np.dtypes.StrDType]) +assert_type(_a_1d[[0]], np.ndarray[tuple[int], np.dtypes.BytesDType]) +assert_type(_a_2d[[0]], np.ndarray[tuple[int], np.dtypes.Int8DType]) +# .__getitem__(list[list[int]]) +assert_type(_a_nd[[[0]]], np.ndarray[tuple[int, int], np.dtypes.StrDType]) +assert_type(_a_1d[[[0]]], np.ndarray[tuple[int, int], np.dtypes.BytesDType]) +assert_type(_a_2d[[[0]]], np.ndarray[tuple[int, int], np.dtypes.Int8DType]) +# .__getitem__(list[list[list[list[int]]]]) +assert_type(_a_nd[[[[[0]]]]], np.ndarray[tuple[Any, ...], np.dtypes.StrDType]) +assert_type(_a_1d[[[[[0]]]]], np.ndarray[tuple[Any, ...], np.dtypes.BytesDType]) +assert_type(_a_2d[[[[[0]]]]], np.ndarray[tuple[Any, ...], np.dtypes.Int8DType]) + +# __array__() +assert_type(_a_nd.__array__(), np.ndarray[tuple[int], np.dtypes.StrDType]) +assert_type(_a_1d.__array__(), np.ndarray[tuple[int], np.dtypes.BytesDType]) +assert_type(_a_2d.__array__(), np.ndarray[tuple[int], np.dtypes.Int8DType]) + +# .copy() +assert_type(_a_nd.copy(), np.ndarray[tuple[int], np.dtypes.StrDType]) +assert_type(_a_1d.copy(), np.ndarray[tuple[int], np.dtypes.BytesDType]) +assert_type(_a_2d.copy(), np.ndarray[tuple[int], np.dtypes.Int8DType]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/fromnumeric.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/fromnumeric.pyi new file mode 100644 index 0000000000000000000000000000000000000000..106533d8ba5b8a28a3ab5484dfb219aa50035692 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/fromnumeric.pyi @@ -0,0 +1,354 @@ +"""Tests for :mod:`_core.fromnumeric`.""" + +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt + +class NDArraySubclass(npt.NDArray[np.complex128]): ... + +AR_b: npt.NDArray[np.bool] +AR_f4: npt.NDArray[np.float32] +AR_c16: npt.NDArray[np.complex128] +AR_u8: npt.NDArray[np.uint64] +AR_i8: npt.NDArray[np.int64] +AR_O: npt.NDArray[np.object_] +AR_subclass: NDArraySubclass +AR_m: npt.NDArray[np.timedelta64] +AR_0d: np.ndarray[tuple[()]] +AR_1d: np.ndarray[tuple[int]] +AR_nd: np.ndarray + +b: np.bool +f4: np.float32 +i8: np.int64 +f: float + +_py_list_1d: list[int] +_py_list_2d: list[list[int]] +_py_list_3d: list[list[list[int]]] + +# integer‑dtype subclass for argmin/argmax +class NDArrayIntSubclass(npt.NDArray[np.intp]): ... +AR_sub_i: NDArrayIntSubclass + +assert_type(np.take(b, 0), np.bool) +assert_type(np.take(f4, 0), np.float32) +assert_type(np.take(f, 0), Any) +assert_type(np.take(AR_b, 0), np.bool) +assert_type(np.take(AR_f4, 0), np.float32) +assert_type(np.take(AR_b, [0]), npt.NDArray[np.bool]) +assert_type(np.take(AR_f4, [0]), npt.NDArray[np.float32]) +assert_type(np.take([1], [0]), npt.NDArray[Any]) +assert_type(np.take(AR_f4, [0], out=AR_subclass), NDArraySubclass) + +assert_type(np.reshape(b, 1), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.reshape(f4, 1), np.ndarray[tuple[int], np.dtype[np.float32]]) +assert_type(np.reshape(f, 1), np.ndarray[tuple[int], np.dtype]) +assert_type(np.reshape(AR_b, 1), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.reshape(AR_f4, 1), np.ndarray[tuple[int], np.dtype[np.float32]]) + +assert_type(np.choose(1, [True, True]), Any) +assert_type(np.choose([1], [True, True]), npt.NDArray[Any]) +assert_type(np.choose([1], AR_b), npt.NDArray[np.bool]) +assert_type(np.choose([1], AR_b, out=AR_f4), npt.NDArray[np.float32]) + +assert_type(np.repeat(b, 1), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.repeat(b, 1, axis=0), npt.NDArray[np.bool]) +assert_type(np.repeat(f4, 1), np.ndarray[tuple[int], np.dtype[np.float32]]) +assert_type(np.repeat(f, 1), np.ndarray[tuple[int], np.dtype[Any]]) +assert_type(np.repeat(AR_b, 1), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.repeat(AR_f4, 1), np.ndarray[tuple[int], np.dtype[np.float32]]) +assert_type(np.repeat(AR_f4, 1, axis=0), npt.NDArray[np.float32]) + +# TODO: array_bdd tests for np.put() + +assert_type(np.swapaxes([[0, 1]], 0, 0), npt.NDArray[Any]) +assert_type(np.swapaxes(AR_b, 0, 0), npt.NDArray[np.bool]) +assert_type(np.swapaxes(AR_f4, 0, 0), npt.NDArray[np.float32]) + +assert_type(np.transpose(b), npt.NDArray[np.bool]) +assert_type(np.transpose(f4), npt.NDArray[np.float32]) +assert_type(np.transpose(f), npt.NDArray[Any]) +assert_type(np.transpose(AR_b), npt.NDArray[np.bool]) +assert_type(np.transpose(AR_f4), npt.NDArray[np.float32]) + +assert_type(np.partition(b, 0, axis=None), npt.NDArray[np.bool]) +assert_type(np.partition(f4, 0, axis=None), npt.NDArray[np.float32]) +assert_type(np.partition(f, 0, axis=None), npt.NDArray[Any]) +assert_type(np.partition(AR_b, 0), npt.NDArray[np.bool]) +assert_type(np.partition(AR_f4, 0), npt.NDArray[np.float32]) + +assert_type(np.argpartition(b, 0), npt.NDArray[np.intp]) +assert_type(np.argpartition(f4, 0), npt.NDArray[np.intp]) +assert_type(np.argpartition(f, 0), npt.NDArray[np.intp]) +assert_type(np.argpartition(AR_b, 0), npt.NDArray[np.intp]) +assert_type(np.argpartition(AR_f4, 0), npt.NDArray[np.intp]) + +assert_type(np.sort([2, 1], 0), npt.NDArray[Any]) +assert_type(np.sort(AR_b, 0), npt.NDArray[np.bool]) +assert_type(np.sort(AR_f4, 0), npt.NDArray[np.float32]) + +assert_type(np.argsort(AR_b, 0), npt.NDArray[np.intp]) +assert_type(np.argsort(AR_f4, 0), npt.NDArray[np.intp]) + +assert_type(np.argmax(AR_b), np.intp) +assert_type(np.argmax(AR_f4), np.intp) +assert_type(np.argmax(AR_b, axis=0), Any) +assert_type(np.argmax(AR_f4, axis=0), Any) +assert_type(np.argmax(AR_f4, out=AR_sub_i), NDArrayIntSubclass) + +assert_type(np.argmin(AR_b), np.intp) +assert_type(np.argmin(AR_f4), np.intp) +assert_type(np.argmin(AR_b, axis=0), Any) +assert_type(np.argmin(AR_f4, axis=0), Any) +assert_type(np.argmin(AR_f4, out=AR_sub_i), NDArrayIntSubclass) + +assert_type(np.searchsorted(AR_b[0], 0), np.intp) +assert_type(np.searchsorted(AR_f4[0], 0), np.intp) +assert_type(np.searchsorted(AR_b[0], [0]), npt.NDArray[np.intp]) +assert_type(np.searchsorted(AR_f4[0], [0]), npt.NDArray[np.intp]) + +assert_type(np.resize(b, (5, 5)), np.ndarray[tuple[int, int], np.dtype[np.bool]]) +assert_type(np.resize(f4, (5, 5)), np.ndarray[tuple[int, int], np.dtype[np.float32]]) +assert_type(np.resize(f, (5, 5)), np.ndarray[tuple[int, int], np.dtype]) +assert_type(np.resize(AR_b, (5, 5)), np.ndarray[tuple[int, int], np.dtype[np.bool]]) +assert_type(np.resize(AR_f4, (5, 5)), np.ndarray[tuple[int, int], np.dtype[np.float32]]) + +assert_type(np.squeeze(b), np.bool) +assert_type(np.squeeze(f4), np.float32) +assert_type(np.squeeze(f), npt.NDArray[Any]) +assert_type(np.squeeze(AR_b), npt.NDArray[np.bool]) +assert_type(np.squeeze(AR_f4), npt.NDArray[np.float32]) + +assert_type(np.diagonal(AR_b), npt.NDArray[np.bool]) +assert_type(np.diagonal(AR_f4), npt.NDArray[np.float32]) + +assert_type(np.trace(AR_b), Any) +assert_type(np.trace(AR_f4), Any) +assert_type(np.trace(AR_f4, out=AR_subclass), NDArraySubclass) +assert_type(np.trace(AR_f4, out=AR_subclass, dtype=None), NDArraySubclass) + +assert_type(np.ravel(b), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.ravel(f4), np.ndarray[tuple[int], np.dtype[np.float32]]) +assert_type(np.ravel(f), np.ndarray[tuple[int], np.dtype[np.float64 | Any]]) +assert_type(np.ravel(AR_b), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.ravel(AR_f4), np.ndarray[tuple[int], np.dtype[np.float32]]) + +assert_type(np.nonzero(AR_b), tuple[np.ndarray[tuple[int], np.dtype[np.intp]], ...]) +assert_type(np.nonzero(AR_f4), tuple[np.ndarray[tuple[int], np.dtype[np.intp]], ...]) +assert_type(np.nonzero(AR_1d), tuple[np.ndarray[tuple[int], np.dtype[np.intp]], ...]) +assert_type(np.nonzero(AR_nd), tuple[np.ndarray[tuple[int], np.dtype[np.intp]], ...]) + +assert_type(np.shape(b), tuple[()]) +assert_type(np.shape(f), tuple[()]) +assert_type(np.shape([1]), tuple[int]) +assert_type(np.shape([[2]]), tuple[int, int]) +assert_type(np.shape([[[3]]]), tuple[int, int, int]) +assert_type(np.shape(_py_list_1d), tuple[int]) +assert_type(np.shape(_py_list_2d), tuple[int, int]) +assert_type(np.shape(_py_list_3d), tuple[int, int, int]) +assert_type(np.shape(AR_b), tuple[Any, ...]) +assert_type(np.shape(AR_nd), tuple[Any, ...]) +# these fail on mypy, but it works as expected with pyright/pylance +# assert_type(np.shape(AR_0d), tuple[()]) +# assert_type(np.shape(AR_1d), tuple[int]) +# assert_type(np.shape(AR_2d), tuple[int, int]) + +assert_type(np.compress([True], b), npt.NDArray[np.bool]) +assert_type(np.compress([True], f4), npt.NDArray[np.float32]) +assert_type(np.compress([True], f), npt.NDArray[Any]) +assert_type(np.compress([True], AR_b), npt.NDArray[np.bool]) +assert_type(np.compress([True], AR_f4), npt.NDArray[np.float32]) + +assert_type(np.clip(b, 0, 1.0), np.bool) +assert_type(np.clip(f4, -1, 1), np.float32) +assert_type(np.clip(f, 0, 1), Any) +assert_type(np.clip(AR_b, 0, 1), npt.NDArray[np.bool]) +assert_type(np.clip(AR_f4, 0, 1), npt.NDArray[np.float32]) +assert_type(np.clip([0], 0, 1), npt.NDArray[Any]) +assert_type(np.clip(AR_b, 0, 1, out=AR_subclass), NDArraySubclass) + +assert_type(np.sum(b), np.bool) +assert_type(np.sum(f4), np.float32) +assert_type(np.sum(f), Any) +assert_type(np.sum(AR_b), np.bool) +assert_type(np.sum(AR_f4), np.float32) +assert_type(np.sum(AR_b, axis=0), Any) +assert_type(np.sum(AR_f4, axis=0), Any) +assert_type(np.sum(AR_f4, out=AR_subclass), NDArraySubclass) +assert_type(np.sum(AR_f4, dtype=np.float64), np.float64) +assert_type(np.sum(AR_f4, None, np.float64), np.float64) +assert_type(np.sum(AR_f4, dtype=np.float64, keepdims=False), np.float64) +assert_type(np.sum(AR_f4, None, np.float64, keepdims=False), np.float64) +assert_type(np.sum(AR_f4, dtype=np.float64, keepdims=True), np.float64 | npt.NDArray[np.float64]) +assert_type(np.sum(AR_f4, None, np.float64, keepdims=True), np.float64 | npt.NDArray[np.float64]) + +assert_type(np.all(b), np.bool) +assert_type(np.all(f4), np.bool) +assert_type(np.all(f), np.bool) +assert_type(np.all(AR_b), np.bool) +assert_type(np.all(AR_f4), np.bool) +assert_type(np.all(AR_b, axis=0), Any) +assert_type(np.all(AR_f4, axis=0), Any) +assert_type(np.all(AR_b, keepdims=True), Any) +assert_type(np.all(AR_f4, keepdims=True), Any) +assert_type(np.all(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.any(b), np.bool) +assert_type(np.any(f4), np.bool) +assert_type(np.any(f), np.bool) +assert_type(np.any(AR_b), np.bool) +assert_type(np.any(AR_f4), np.bool) +assert_type(np.any(AR_b, axis=0), Any) +assert_type(np.any(AR_f4, axis=0), Any) +assert_type(np.any(AR_b, keepdims=True), Any) +assert_type(np.any(AR_f4, keepdims=True), Any) +assert_type(np.any(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.cumsum(b), npt.NDArray[np.bool]) +assert_type(np.cumsum(f4), npt.NDArray[np.float32]) +assert_type(np.cumsum(f), npt.NDArray[Any]) +assert_type(np.cumsum(AR_b), npt.NDArray[np.bool]) +assert_type(np.cumsum(AR_f4), npt.NDArray[np.float32]) +assert_type(np.cumsum(f, dtype=float), npt.NDArray[Any]) +assert_type(np.cumsum(f, dtype=np.float64), npt.NDArray[np.float64]) +assert_type(np.cumsum(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.cumulative_sum(b), npt.NDArray[np.bool]) +assert_type(np.cumulative_sum(f4), npt.NDArray[np.float32]) +assert_type(np.cumulative_sum(f), npt.NDArray[Any]) +assert_type(np.cumulative_sum(AR_b), npt.NDArray[np.bool]) +assert_type(np.cumulative_sum(AR_f4), npt.NDArray[np.float32]) +assert_type(np.cumulative_sum(f, dtype=float), npt.NDArray[Any]) +assert_type(np.cumulative_sum(f, dtype=np.float64), npt.NDArray[np.float64]) +assert_type(np.cumulative_sum(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.ptp(b), np.bool) +assert_type(np.ptp(f4), np.float32) +assert_type(np.ptp(f), Any) +assert_type(np.ptp(AR_b), np.bool) +assert_type(np.ptp(AR_f4), np.float32) +assert_type(np.ptp(AR_b, axis=0), Any) +assert_type(np.ptp(AR_f4, axis=0), Any) +assert_type(np.ptp(AR_b, keepdims=True), Any) +assert_type(np.ptp(AR_f4, keepdims=True), Any) +assert_type(np.ptp(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.amax(b), np.bool) +assert_type(np.amax(f4), np.float32) +assert_type(np.amax(f), Any) +assert_type(np.amax(AR_b), np.bool) +assert_type(np.amax(AR_f4), np.float32) +assert_type(np.amax(AR_b, axis=0), Any) +assert_type(np.amax(AR_f4, axis=0), Any) +assert_type(np.amax(AR_b, keepdims=True), Any) +assert_type(np.amax(AR_f4, keepdims=True), Any) +assert_type(np.amax(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.amin(b), np.bool) +assert_type(np.amin(f4), np.float32) +assert_type(np.amin(f), Any) +assert_type(np.amin(AR_b), np.bool) +assert_type(np.amin(AR_f4), np.float32) +assert_type(np.amin(AR_b, axis=0), Any) +assert_type(np.amin(AR_f4, axis=0), Any) +assert_type(np.amin(AR_b, keepdims=True), Any) +assert_type(np.amin(AR_f4, keepdims=True), Any) +assert_type(np.amin(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.prod(AR_b), np.int_) +assert_type(np.prod(AR_u8), np.uint64) +assert_type(np.prod(AR_i8), np.int64) +assert_type(np.prod(AR_f4), np.floating) +assert_type(np.prod(AR_c16), np.complexfloating) +assert_type(np.prod(AR_O), Any) +assert_type(np.prod(AR_f4, axis=0), Any) +assert_type(np.prod(AR_f4, keepdims=True), Any) +assert_type(np.prod(AR_f4, dtype=np.float64), np.float64) +assert_type(np.prod(AR_f4, dtype=float), Any) +assert_type(np.prod(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.cumprod(AR_b), npt.NDArray[np.int_]) +assert_type(np.cumprod(AR_u8), npt.NDArray[np.uint64]) +assert_type(np.cumprod(AR_i8), npt.NDArray[np.int64]) +assert_type(np.cumprod(AR_f4), npt.NDArray[np.floating]) +assert_type(np.cumprod(AR_c16), npt.NDArray[np.complexfloating]) +assert_type(np.cumprod(AR_O), npt.NDArray[np.object_]) +assert_type(np.cumprod(AR_f4, axis=0), npt.NDArray[np.floating]) +assert_type(np.cumprod(AR_f4, dtype=np.float64), npt.NDArray[np.float64]) +assert_type(np.cumprod(AR_f4, dtype=float), npt.NDArray[Any]) +assert_type(np.cumprod(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.cumulative_prod(AR_b), npt.NDArray[np.int_]) +assert_type(np.cumulative_prod(AR_u8), npt.NDArray[np.uint64]) +assert_type(np.cumulative_prod(AR_i8), npt.NDArray[np.int64]) +assert_type(np.cumulative_prod(AR_f4), npt.NDArray[np.floating]) +assert_type(np.cumulative_prod(AR_c16), npt.NDArray[np.complexfloating]) +assert_type(np.cumulative_prod(AR_O), npt.NDArray[np.object_]) +assert_type(np.cumulative_prod(AR_f4, axis=0), npt.NDArray[np.floating]) +assert_type(np.cumulative_prod(AR_f4, dtype=np.float64), npt.NDArray[np.float64]) +assert_type(np.cumulative_prod(AR_f4, dtype=float), npt.NDArray[Any]) +assert_type(np.cumulative_prod(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.ndim(b), int) +assert_type(np.ndim(f4), int) +assert_type(np.ndim(f), int) +assert_type(np.ndim(AR_b), int) +assert_type(np.ndim(AR_f4), int) + +assert_type(np.size(b), int) +assert_type(np.size(f4), int) +assert_type(np.size(f), int) +assert_type(np.size(AR_b), int) +assert_type(np.size(AR_f4), int) + +assert_type(np.around(b), np.float16) +assert_type(np.around(f), Any) +assert_type(np.around(i8), np.int64) +assert_type(np.around(f4), np.float32) +assert_type(np.around(AR_b), npt.NDArray[np.float16]) +assert_type(np.around(AR_i8), npt.NDArray[np.int64]) +assert_type(np.around(AR_f4), npt.NDArray[np.float32]) +assert_type(np.around([1.5]), npt.NDArray[Any]) +assert_type(np.around(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.mean(AR_b), np.floating) +assert_type(np.mean(AR_i8), np.floating) +assert_type(np.mean(AR_f4), np.floating) +assert_type(np.mean(AR_m), np.timedelta64) +assert_type(np.mean(AR_c16), np.complexfloating) +assert_type(np.mean(AR_O), Any) +assert_type(np.mean(AR_f4, axis=0), Any) +assert_type(np.mean(AR_f4, keepdims=True), Any) +assert_type(np.mean(AR_f4, dtype=float), Any) +assert_type(np.mean(AR_f4, dtype=np.float64), np.float64) +assert_type(np.mean(AR_f4, out=AR_subclass), NDArraySubclass) +assert_type(np.mean(AR_f4, dtype=np.float64), np.float64) +assert_type(np.mean(AR_f4, None, np.float64), np.float64) +assert_type(np.mean(AR_f4, dtype=np.float64, keepdims=False), np.float64) +assert_type(np.mean(AR_f4, None, np.float64, keepdims=False), np.float64) +assert_type(np.mean(AR_f4, dtype=np.float64, keepdims=True), np.float64 | npt.NDArray[np.float64]) +assert_type(np.mean(AR_f4, None, np.float64, keepdims=True), np.float64 | npt.NDArray[np.float64]) + +assert_type(np.std(AR_b), np.floating) +assert_type(np.std(AR_i8), np.floating) +assert_type(np.std(AR_f4), np.floating) +assert_type(np.std(AR_c16), np.floating) +assert_type(np.std(AR_O), Any) +assert_type(np.std(AR_f4, axis=0), Any) +assert_type(np.std(AR_f4, keepdims=True), Any) +assert_type(np.std(AR_f4, dtype=float), Any) +assert_type(np.std(AR_f4, dtype=np.float64), np.float64) +assert_type(np.std(AR_f4, out=AR_subclass), NDArraySubclass) + +assert_type(np.var(AR_b), np.floating) +assert_type(np.var(AR_i8), np.floating) +assert_type(np.var(AR_f4), np.floating) +assert_type(np.var(AR_c16), np.floating) +assert_type(np.var(AR_O), Any) +assert_type(np.var(AR_f4, axis=0), Any) +assert_type(np.var(AR_f4, keepdims=True), Any) +assert_type(np.var(AR_f4, dtype=float), Any) +assert_type(np.var(AR_f4, dtype=np.float64), np.float64) +assert_type(np.var(AR_f4, out=AR_subclass), NDArraySubclass) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/getlimits.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/getlimits.pyi new file mode 100644 index 0000000000000000000000000000000000000000..cc964d75305500669476231af2b9c974107a673c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/getlimits.pyi @@ -0,0 +1,53 @@ +from typing import assert_type + +import numpy as np + +f: float +f8: np.float64 +c8: np.complex64 +c16: np.complex128 + +i: int +i8: np.int64 +u4: np.uint32 + +finfo_f8: np.finfo[np.float64] +iinfo_i8: np.iinfo[np.int64] + +assert_type(np.finfo(f), np.finfo[np.float64]) +assert_type(np.finfo(f8), np.finfo[np.float64]) +assert_type(np.finfo(c8), np.finfo[np.float32]) +assert_type(np.finfo(c16), np.finfo[np.float64]) +assert_type(np.finfo("f2"), np.finfo[np.float16]) + +assert_type(finfo_f8.dtype, np.dtype[np.float64]) +assert_type(finfo_f8.bits, int) +assert_type(finfo_f8.eps, np.float64) +assert_type(finfo_f8.epsneg, np.float64) +assert_type(finfo_f8.iexp, int) +assert_type(finfo_f8.machep, int) +assert_type(finfo_f8.max, np.float64) +assert_type(finfo_f8.maxexp, int) +assert_type(finfo_f8.min, np.float64) +assert_type(finfo_f8.minexp, int) +assert_type(finfo_f8.negep, int) +assert_type(finfo_f8.nexp, int) +assert_type(finfo_f8.nmant, int) +assert_type(finfo_f8.precision, int) +assert_type(finfo_f8.resolution, np.float64) +assert_type(finfo_f8.tiny, np.float64) +assert_type(finfo_f8.smallest_normal, np.float64) +assert_type(finfo_f8.smallest_subnormal, np.float64) + +assert_type(np.iinfo(i), np.iinfo[np.int_]) +assert_type(np.iinfo(i8), np.iinfo[np.int64]) +assert_type(np.iinfo(u4), np.iinfo[np.uint32]) +assert_type(np.iinfo("i2"), np.iinfo[np.int16]) +assert_type(np.iinfo("u2"), np.iinfo[np.uint16]) + +assert_type(iinfo_i8.dtype, np.dtype[np.int64]) +assert_type(iinfo_i8.kind, str) +assert_type(iinfo_i8.bits, int) +assert_type(iinfo_i8.key, str) +assert_type(iinfo_i8.min, int) +assert_type(iinfo_i8.max, int) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/histograms.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/histograms.pyi new file mode 100644 index 0000000000000000000000000000000000000000..c1c63d59cb8805237e1d4907f2e90ef6f6ee4cfd --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/histograms.pyi @@ -0,0 +1,25 @@ +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt + +AR_i8: npt.NDArray[np.int64] +AR_f8: npt.NDArray[np.float64] + +assert_type(np.histogram_bin_edges(AR_i8, bins="auto"), npt.NDArray[Any]) +assert_type(np.histogram_bin_edges(AR_i8, bins="rice", range=(0, 3)), npt.NDArray[Any]) +assert_type(np.histogram_bin_edges(AR_i8, bins="scott", weights=AR_f8), npt.NDArray[Any]) + +assert_type(np.histogram(AR_i8, bins="auto"), tuple[npt.NDArray[Any], npt.NDArray[Any]]) +assert_type(np.histogram(AR_i8, bins="rice", range=(0, 3)), tuple[npt.NDArray[Any], npt.NDArray[Any]]) +assert_type(np.histogram(AR_i8, bins="scott", weights=AR_f8), tuple[npt.NDArray[Any], npt.NDArray[Any]]) +assert_type(np.histogram(AR_f8, bins=1, density=True), tuple[npt.NDArray[Any], npt.NDArray[Any]]) + +assert_type(np.histogramdd(AR_i8, bins=[1]), + tuple[npt.NDArray[Any], tuple[npt.NDArray[Any], ...]]) +assert_type(np.histogramdd(AR_i8, range=[(0, 3)]), + tuple[npt.NDArray[Any], tuple[npt.NDArray[Any], ...]]) +assert_type(np.histogramdd(AR_i8, weights=AR_f8), + tuple[npt.NDArray[Any], tuple[npt.NDArray[Any], ...]]) +assert_type(np.histogramdd(AR_f8, density=True), + tuple[npt.NDArray[Any], tuple[npt.NDArray[Any], ...]]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/index_tricks.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/index_tricks.pyi new file mode 100644 index 0000000000000000000000000000000000000000..e3d5069993102e16445884c9b113633c1ac2f5a8 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/index_tricks.pyi @@ -0,0 +1,70 @@ +from types import EllipsisType +from typing import Any, Literal, assert_type + +import numpy as np +import numpy.typing as npt + +AR_LIKE_b: list[bool] +AR_LIKE_i: list[int] +AR_LIKE_f: list[float] +AR_LIKE_U: list[str] +AR_LIKE_O: list[object] + +AR_i8: npt.NDArray[np.int64] +AR_O: npt.NDArray[np.object_] + +assert_type(np.ndenumerate(AR_i8), np.ndenumerate[np.int64]) +assert_type(np.ndenumerate(AR_LIKE_f), np.ndenumerate[np.float64]) +assert_type(np.ndenumerate(AR_LIKE_U), np.ndenumerate[np.str_]) +assert_type(np.ndenumerate(AR_LIKE_O), np.ndenumerate[Any]) + +assert_type(next(np.ndenumerate(AR_i8)), tuple[tuple[Any, ...], np.int64]) +assert_type(next(np.ndenumerate(AR_LIKE_f)), tuple[tuple[Any, ...], np.float64]) +assert_type(next(np.ndenumerate(AR_LIKE_U)), tuple[tuple[Any, ...], np.str_]) +assert_type(next(np.ndenumerate(AR_LIKE_O)), tuple[tuple[Any, ...], Any]) + +assert_type(iter(np.ndenumerate(AR_i8)), np.ndenumerate[np.int64]) +assert_type(iter(np.ndenumerate(AR_LIKE_f)), np.ndenumerate[np.float64]) +assert_type(iter(np.ndenumerate(AR_LIKE_U)), np.ndenumerate[np.str_]) +assert_type(iter(np.ndenumerate(AR_LIKE_O)), np.ndenumerate[Any]) + +assert_type(np.ndindex(1, 2, 3), np.ndindex) +assert_type(np.ndindex((1, 2, 3)), np.ndindex) +assert_type(iter(np.ndindex(1, 2, 3)), np.ndindex) +assert_type(next(np.ndindex(1, 2, 3)), tuple[Any, ...]) + +assert_type(np.unravel_index([22, 41, 37], (7, 6)), tuple[npt.NDArray[np.intp], ...]) +assert_type(np.unravel_index([31, 41, 13], (7, 6), order="F"), tuple[npt.NDArray[np.intp], ...]) +assert_type(np.unravel_index(1621, (6, 7, 8, 9)), tuple[np.intp, ...]) + +assert_type(np.ravel_multi_index([[1]], (7, 6)), npt.NDArray[np.intp]) +assert_type(np.ravel_multi_index(AR_LIKE_i, (7, 6)), np.intp) +assert_type(np.ravel_multi_index(AR_LIKE_i, (7, 6), order="F"), np.intp) +assert_type(np.ravel_multi_index(AR_LIKE_i, (4, 6), mode="clip"), np.intp) +assert_type(np.ravel_multi_index(AR_LIKE_i, (4, 4), mode=("clip", "wrap")), np.intp) +assert_type(np.ravel_multi_index((3, 1, 4, 1), (6, 7, 8, 9)), np.intp) + +assert_type(np.mgrid[1:1:2], npt.NDArray[Any]) +assert_type(np.mgrid[1:1:2, None:10], npt.NDArray[Any]) + +assert_type(np.ogrid[1:1:2], tuple[npt.NDArray[Any], ...]) +assert_type(np.ogrid[1:1:2, None:10], tuple[npt.NDArray[Any], ...]) + +assert_type(np.index_exp[0:1], tuple[slice[int, int, None]]) +assert_type(np.index_exp[0:1, None:3], tuple[slice[int, int, None], slice[None, int, None]]) +assert_type(np.index_exp[0, 0:1, ..., [0, 1, 3]], tuple[Literal[0], slice[int, int, None], EllipsisType, list[int]]) + +assert_type(np.s_[0:1], slice[int, int, None]) +assert_type(np.s_[0:1, None:3], tuple[slice[int, int, None], slice[None, int, None]]) +assert_type(np.s_[0, 0:1, ..., [0, 1, 3]], tuple[Literal[0], slice[int, int, None], EllipsisType, list[int]]) + +assert_type(np.ix_(AR_LIKE_b), tuple[npt.NDArray[np.intp], ...]) +assert_type(np.ix_(AR_LIKE_i, AR_LIKE_f), tuple[npt.NDArray[np.float64], ...]) +assert_type(np.ix_(AR_i8), tuple[npt.NDArray[np.int64], ...]) + +assert_type(np.fill_diagonal(AR_i8, 5), None) + +assert_type(np.diag_indices(4), tuple[npt.NDArray[np.int_], ...]) +assert_type(np.diag_indices(2, 3), tuple[npt.NDArray[np.int_], ...]) + +assert_type(np.diag_indices_from(AR_i8), tuple[npt.NDArray[np.int_], ...]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_function_base.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_function_base.pyi new file mode 100644 index 0000000000000000000000000000000000000000..345635d06327608f636a0821c57a321a20d53fd4 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_function_base.pyi @@ -0,0 +1,409 @@ +from collections.abc import Callable +from fractions import Fraction +from typing import Any, LiteralString, assert_type, type_check_only + +import numpy as np +import numpy.typing as npt + +f8: np.float64 +AR_LIKE_b: list[bool] +AR_LIKE_i8: list[int] +AR_LIKE_f8: list[float] +AR_LIKE_c16: list[complex] +AR_LIKE_O: list[Fraction] + +AR_u1: npt.NDArray[np.uint8] +AR_i8: npt.NDArray[np.int64] +AR_f2: npt.NDArray[np.float16] +AR_f4: npt.NDArray[np.float32] +AR_f8: npt.NDArray[np.float64] +AR_f10: npt.NDArray[np.longdouble] +AR_c8: npt.NDArray[np.complex64] +AR_c16: npt.NDArray[np.complex128] +AR_c20: npt.NDArray[np.clongdouble] +AR_m: npt.NDArray[np.timedelta64] +AR_M: npt.NDArray[np.datetime64] +AR_O: npt.NDArray[np.object_] +AR_b: npt.NDArray[np.bool] +AR_U: npt.NDArray[np.str_] +CHAR_AR_U: np.char.chararray[tuple[Any, ...], np.dtype[np.str_]] + +AR_f8_1d: np.ndarray[tuple[int], np.dtype[np.float64]] +AR_f8_2d: np.ndarray[tuple[int, int], np.dtype[np.float64]] +AR_f8_3d: np.ndarray[tuple[int, int, int], np.dtype[np.float64]] +AR_c16_1d: np.ndarray[tuple[int], np.dtype[np.complex128]] + +AR_b_list: list[npt.NDArray[np.bool]] + +@type_check_only +def func(a: np.ndarray, posarg: bool = ..., /, arg: int = ..., *, kwarg: str = ...) -> np.ndarray: ... +@type_check_only +def func_f8(a: npt.NDArray[np.float64]) -> npt.NDArray[np.float64]: ... + +### + +# vectorize +vectorized_func: np.vectorize +assert_type(vectorized_func.pyfunc, Callable[..., Any]) +assert_type(vectorized_func.cache, bool) +assert_type(vectorized_func.signature, LiteralString | None) +assert_type(vectorized_func.otypes, LiteralString | None) +assert_type(vectorized_func.excluded, set[int | str]) +assert_type(vectorized_func.__doc__, str | None) +assert_type(vectorized_func([1]), Any) +assert_type(np.vectorize(int), np.vectorize) +assert_type( + np.vectorize(int, otypes="i", doc="doc", excluded=(), cache=True, signature=None), + np.vectorize, +) + +# rot90 +assert_type(np.rot90(AR_f8_1d), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.rot90(AR_f8, k=2), npt.NDArray[np.float64]) +assert_type(np.rot90(AR_LIKE_f8, axes=(0, 1)), np.ndarray) + +# flip +assert_type(np.flip(AR_f8_1d), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.flip(AR_f8, axis=(0, 1)), npt.NDArray[np.float64]) +assert_type(np.flip(AR_LIKE_f8, axis=0), np.ndarray) + +# iterable +assert_type(np.iterable(1), bool) +assert_type(np.iterable([1]), bool) + +# average +assert_type(np.average(AR_f8_2d), np.float64) +assert_type(np.average(AR_f8_2d, axis=1), npt.NDArray[np.float64]) +assert_type(np.average(AR_f8_2d, keepdims=True), np.ndarray[tuple[int, int], np.dtype[np.float64]]) +assert_type(np.average(AR_f8), np.float64) +assert_type(np.average(AR_f8, axis=1), npt.NDArray[np.float64]) +assert_type(np.average(AR_f8, keepdims=True), npt.NDArray[np.float64]) +assert_type(np.average(AR_f8, returned=True), tuple[np.float64, np.float64]) +assert_type(np.average(AR_f8, axis=1, returned=True), tuple[npt.NDArray[np.float64], npt.NDArray[np.float64]]) +assert_type(np.average(AR_f8, keepdims=True, returned=True), tuple[npt.NDArray[np.float64], npt.NDArray[np.float64]]) +assert_type(np.average(AR_LIKE_f8), np.float64) +assert_type(np.average(AR_LIKE_f8, weights=AR_f8), np.float64) +assert_type(np.average(AR_LIKE_f8, axis=1), npt.NDArray[np.float64]) +assert_type(np.average(AR_LIKE_f8, keepdims=True), npt.NDArray[np.float64]) +assert_type(np.average(AR_LIKE_f8, returned=True), tuple[np.float64, np.float64]) +assert_type(np.average(AR_LIKE_f8, axis=1, returned=True), tuple[npt.NDArray[np.float64], npt.NDArray[np.float64]]) +assert_type(np.average(AR_LIKE_f8, keepdims=True, returned=True), tuple[npt.NDArray[np.float64], npt.NDArray[np.float64]]) +assert_type(np.average(AR_O), Any) +assert_type(np.average(AR_O, axis=1), np.ndarray) +assert_type(np.average(AR_O, keepdims=True), np.ndarray) +assert_type(np.average(AR_O, returned=True), tuple[Any, Any]) +assert_type(np.average(AR_O, axis=1, returned=True), tuple[np.ndarray, np.ndarray]) +assert_type(np.average(AR_O, keepdims=True, returned=True), tuple[np.ndarray, np.ndarray]) + +# asarray_chkfinite +assert_type(np.asarray_chkfinite(AR_f8_1d), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.asarray_chkfinite(AR_f8), npt.NDArray[np.float64]) +assert_type(np.asarray_chkfinite(AR_LIKE_f8), np.ndarray) +assert_type(np.asarray_chkfinite(AR_f8, dtype=np.float64), npt.NDArray[np.float64]) +assert_type(np.asarray_chkfinite(AR_f8, dtype=float), np.ndarray) + +# piecewise +assert_type(np.piecewise(AR_f8_1d, AR_b, [func]), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.piecewise(AR_f8, AR_b, [func]), npt.NDArray[np.float64]) +assert_type(np.piecewise(AR_f8, AR_b, [func_f8]), npt.NDArray[np.float64]) +assert_type(np.piecewise(AR_f8, AR_b_list, [func]), npt.NDArray[np.float64]) +assert_type(np.piecewise(AR_f8, AR_b_list, [func_f8]), npt.NDArray[np.float64]) +assert_type(np.piecewise(AR_f8, AR_b_list, [func], True, -1, kwarg=""), npt.NDArray[np.float64]) +assert_type(np.piecewise(AR_f8, AR_b_list, [func], True, arg=-1, kwarg=""), npt.NDArray[np.float64]) +assert_type(np.piecewise(AR_LIKE_f8, AR_b_list, [func]), np.ndarray) +assert_type(np.piecewise(AR_LIKE_f8, AR_b_list, [func_f8]), npt.NDArray[np.float64]) + +# extract +assert_type(np.extract(AR_i8, AR_f8), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.extract(AR_i8, AR_LIKE_b), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.extract(AR_i8, AR_LIKE_i8), np.ndarray[tuple[int], np.dtype[np.int_]]) +assert_type(np.extract(AR_i8, AR_LIKE_f8), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.extract(AR_i8, AR_LIKE_c16), np.ndarray[tuple[int], np.dtype[np.complex128]]) + +# select +assert_type(np.select([AR_b], [AR_f8_1d]), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.select([AR_b], [AR_f8]), npt.NDArray[np.float64]) + +# places +assert_type(np.place(AR_f8, mask=AR_i8, vals=5.0), None) + +# copy +assert_type(np.copy(AR_LIKE_f8), np.ndarray) +assert_type(np.copy(AR_U), npt.NDArray[np.str_]) +assert_type(np.copy(CHAR_AR_U, "K", subok=True), np.char.chararray[tuple[Any, ...], np.dtype[np.str_]]) +assert_type(np.copy(CHAR_AR_U, subok=True), np.char.chararray[tuple[Any, ...], np.dtype[np.str_]]) +# pyright correctly infers `NDArray[str_]` here +assert_type(np.copy(CHAR_AR_U), np.ndarray[Any, Any]) # pyright: ignore[reportAssertTypeFailure] + +# gradient +assert_type(np.gradient(AR_f8_1d, 1), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type( + np.gradient(AR_f8_2d, [1, 2], [2, 3.5, 4]), + tuple[ + np.ndarray[tuple[int, int], np.dtype[np.float64]], + np.ndarray[tuple[int, int], np.dtype[np.float64]], + ], +) +assert_type( + np.gradient(AR_f8_3d), + tuple[ + np.ndarray[tuple[int, int, int], np.dtype[np.float64]], + np.ndarray[tuple[int, int, int], np.dtype[np.float64]], + np.ndarray[tuple[int, int, int], np.dtype[np.float64]], + ], +) +assert_type(np.gradient(AR_f8), np.ndarray[tuple[int], np.dtype[np.float64]] | Any) +assert_type(np.gradient(AR_LIKE_f8, edge_order=2), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.gradient(AR_LIKE_c16, axis=0), np.ndarray[tuple[int], np.dtype[np.complex128]]) + +# diff +assert_type(np.diff("git", n=0), str) +assert_type(np.diff(AR_f8), npt.NDArray[np.float64]) +assert_type(np.diff(AR_f8_1d, axis=0), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.diff(AR_f8_2d, axis=0), np.ndarray[tuple[int, int], np.dtype[np.float64]]) +assert_type(np.diff(AR_LIKE_f8, prepend=1.5), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.diff(AR_c16), npt.NDArray[np.complex128]) +assert_type(np.diff(AR_c16_1d), np.ndarray[tuple[int], np.dtype[np.complex128]]) +assert_type(np.diff(AR_LIKE_c16), np.ndarray[tuple[int], np.dtype[np.complex128]]) + +# interp +assert_type(np.interp(1, [1], AR_f8), np.float64) +assert_type(np.interp(1, [1], [1]), np.float64) +assert_type(np.interp(1, [1], AR_c16), np.complex128) +assert_type(np.interp(1, [1], [1j]), np.complex128) +assert_type(np.interp([1], [1], AR_f8), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.interp([1], [1], [1]), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.interp([1], [1], AR_c16), np.ndarray[tuple[int], np.dtype[np.complex128]]) +assert_type(np.interp([1], [1], [1j]), np.ndarray[tuple[int], np.dtype[np.complex128]]) + +# angle +assert_type(np.angle(1), np.float64) +assert_type(np.angle(1, deg=True), np.float64) +assert_type(np.angle(1j), np.float64) +assert_type(np.angle(f8), np.float64) +assert_type(np.angle(AR_b), npt.NDArray[np.float64]) +assert_type(np.angle(AR_u1), npt.NDArray[np.float64]) +assert_type(np.angle(AR_i8), npt.NDArray[np.float64]) +assert_type(np.angle(AR_f2), npt.NDArray[np.float16]) +assert_type(np.angle(AR_f4), npt.NDArray[np.float32]) +assert_type(np.angle(AR_c8), npt.NDArray[np.float32]) +assert_type(np.angle(AR_f8), npt.NDArray[np.float64]) +assert_type(np.angle(AR_c16), npt.NDArray[np.float64]) +assert_type(np.angle(AR_f10), npt.NDArray[np.longdouble]) +assert_type(np.angle(AR_c20), npt.NDArray[np.longdouble]) +assert_type(np.angle(AR_f8_1d), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.angle(AR_c16_1d), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.angle(AR_LIKE_b), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.angle(AR_LIKE_i8), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.angle(AR_LIKE_f8), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.angle(AR_LIKE_c16), np.ndarray[tuple[int], np.dtype[np.float64]]) + +# unwrap +assert_type(np.unwrap(AR_f2), npt.NDArray[np.float16]) +assert_type(np.unwrap(AR_f8), npt.NDArray[np.float64]) +assert_type(np.unwrap(AR_f10), npt.NDArray[np.longdouble]) +assert_type(np.unwrap(AR_O), npt.NDArray[np.object_]) +assert_type(np.unwrap(AR_f8_1d), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.unwrap(AR_f8_2d), np.ndarray[tuple[int, int], np.dtype[np.float64]]) +assert_type(np.unwrap(AR_f8_3d), np.ndarray[tuple[int, int, int], np.dtype[np.float64]]) +assert_type(np.unwrap(AR_LIKE_b), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.unwrap(AR_LIKE_i8), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.unwrap(AR_LIKE_f8), np.ndarray[tuple[int], np.dtype[np.float64]]) + +# sort_complex +assert_type(np.sort_complex(AR_u1), npt.NDArray[np.complex64]) +assert_type(np.sort_complex(AR_f8), npt.NDArray[np.complex128]) +assert_type(np.sort_complex(AR_f10), npt.NDArray[np.clongdouble]) +assert_type(np.sort_complex(AR_f8_1d), np.ndarray[tuple[int], np.dtype[np.complex128]]) +assert_type(np.sort_complex(AR_c16_1d), np.ndarray[tuple[int], np.dtype[np.complex128]]) + +# trim_zeros +assert_type(np.trim_zeros(AR_f8), npt.NDArray[np.float64]) +assert_type(np.trim_zeros(AR_LIKE_f8), list[float]) + +# cov +assert_type(np.cov(AR_f8_1d), np.ndarray[tuple[()], np.dtype[np.float64]]) +assert_type(np.cov(AR_f8_2d), npt.NDArray[np.float64]) +assert_type(np.cov(AR_f8), npt.NDArray[np.float64]) +assert_type(np.cov(AR_f8, AR_f8), np.ndarray[tuple[int, int], np.dtype[np.float64]]) +assert_type(np.cov(AR_c16, AR_c16), np.ndarray[tuple[int, int], np.dtype[np.complex128]]) +assert_type(np.cov(AR_LIKE_f8), np.ndarray[tuple[()], np.dtype[np.float64]]) +assert_type(np.cov(AR_LIKE_f8, AR_LIKE_f8), np.ndarray[tuple[int, int], np.dtype[np.float64]]) +assert_type(np.cov(AR_LIKE_f8, dtype=np.float16), np.ndarray[tuple[()], np.dtype[np.float16]]) +assert_type(np.cov(AR_LIKE_f8, AR_LIKE_f8, dtype=np.float32), np.ndarray[tuple[int, int], np.dtype[np.float32]]) +assert_type(np.cov(AR_f8, AR_f8, dtype=float), np.ndarray[tuple[int, int]]) +assert_type(np.cov(AR_LIKE_f8, dtype=float), np.ndarray[tuple[()]]) +assert_type(np.cov(AR_LIKE_f8, AR_LIKE_f8, dtype=float), np.ndarray[tuple[int, int]]) + +# corrcoef +assert_type(np.corrcoef(AR_f8_1d), np.float64) +assert_type(np.corrcoef(AR_f8_2d), np.ndarray[tuple[int, int], np.dtype[np.float64]] | np.float64) +assert_type(np.corrcoef(AR_f8), np.ndarray[tuple[int, int], np.dtype[np.float64]] | np.float64) +assert_type(np.corrcoef(AR_f8, AR_f8), np.ndarray[tuple[int, int], np.dtype[np.float64]]) +assert_type(np.corrcoef(AR_c16, AR_c16), np.ndarray[tuple[int, int], np.dtype[np.complex128]]) +assert_type(np.corrcoef(AR_LIKE_f8), np.float64) +assert_type(np.corrcoef(AR_LIKE_f8, AR_LIKE_f8), np.ndarray[tuple[int, int], np.dtype[np.float64]]) +assert_type(np.corrcoef(AR_LIKE_f8, dtype=np.float16), np.float16) +assert_type(np.corrcoef(AR_LIKE_f8, AR_LIKE_f8, dtype=np.float32), np.ndarray[tuple[int, int], np.dtype[np.float32]]) +assert_type(np.corrcoef(AR_f8, AR_f8, dtype=float), np.ndarray[tuple[int, int]]) +assert_type(np.corrcoef(AR_LIKE_f8, dtype=float), Any) +assert_type(np.corrcoef(AR_LIKE_f8, AR_LIKE_f8, dtype=float), np.ndarray[tuple[int, int]]) + +# window functions +assert_type(np.blackman(5), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.bartlett(6), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.hanning(4.5), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.hamming(0), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.kaiser(4, 5.9), np.ndarray[tuple[int], np.dtype[np.float64]]) + +# i0 (bessel function) +assert_type(np.i0(AR_i8), npt.NDArray[np.float64]) + +# sinc (cardinal sine function) +assert_type(np.sinc(1.0), np.float64) +assert_type(np.sinc(1j), np.complex128 | Any) +assert_type(np.sinc(AR_f8), npt.NDArray[np.float64]) +assert_type(np.sinc(AR_c16), npt.NDArray[np.complex128]) +assert_type(np.sinc(AR_LIKE_f8), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.sinc(AR_LIKE_c16), np.ndarray[tuple[int], np.dtype[np.complex128]]) + +# median +assert_type(np.median(AR_f8, keepdims=False), np.float64) +assert_type(np.median(AR_c16, overwrite_input=True), np.complex128) +assert_type(np.median(AR_m), np.timedelta64) +assert_type(np.median(AR_O), Any) +assert_type(np.median(AR_f8, keepdims=True), npt.NDArray[np.float64]) +assert_type(np.median(AR_f8, axis=0), npt.NDArray[np.float64]) +assert_type(np.median(AR_c16, keepdims=True), npt.NDArray[np.complex128]) +assert_type(np.median(AR_c16, axis=0), npt.NDArray[np.complex128]) +assert_type(np.median(AR_LIKE_f8, keepdims=True), npt.NDArray[np.float64]) +assert_type(np.median(AR_LIKE_c16, keepdims=True), npt.NDArray[np.complex128]) +assert_type(np.median(AR_LIKE_f8, out=AR_c16), npt.NDArray[np.complex128]) + +# percentile +assert_type(np.percentile(AR_f8, 50), np.float64) +assert_type(np.percentile(AR_f8, 50, axis=1), npt.NDArray[np.float64]) +assert_type(np.percentile(AR_f8, 50, axis=(1, 0)), npt.NDArray[np.float64]) +assert_type(np.percentile(AR_f8, 50, keepdims=True), npt.NDArray[np.float64]) +assert_type(np.percentile(AR_f8, 50, axis=0, keepdims=True), npt.NDArray[np.float64]) +assert_type(np.percentile(AR_c16, 50), np.complex128) +assert_type(np.percentile(AR_m, 50), np.timedelta64) +assert_type(np.percentile(AR_M, 50, overwrite_input=True), np.datetime64) +assert_type(np.percentile(AR_O, 50), Any) +assert_type(np.percentile(AR_f8, [50]), npt.NDArray[np.float64]) +assert_type(np.percentile(AR_f8, [50], axis=1), npt.NDArray[np.float64]) +assert_type(np.percentile(AR_f8, [50], keepdims=True), npt.NDArray[np.float64]) +assert_type(np.percentile(AR_c16, [50]), npt.NDArray[np.complex128]) +assert_type(np.percentile(AR_m, [50]), npt.NDArray[np.timedelta64]) +assert_type(np.percentile(AR_M, [50], method="nearest"), npt.NDArray[np.datetime64]) +assert_type(np.percentile(AR_O, [50]), npt.NDArray[np.object_]) +assert_type(np.percentile(AR_f8, [50], keepdims=True), npt.NDArray[np.float64]) +assert_type(np.percentile(AR_f8, [50], out=AR_c16), npt.NDArray[np.complex128]) + +# quantile +assert_type(np.quantile(AR_f8, 0.50), np.float64) +assert_type(np.quantile(AR_f8, 0.50, axis=1), npt.NDArray[np.float64]) +assert_type(np.quantile(AR_f8, 0.50, axis=(1, 0)), npt.NDArray[np.float64]) +assert_type(np.quantile(AR_f8, 0.50, keepdims=True), npt.NDArray[np.float64]) +assert_type(np.quantile(AR_f8, 0.50, axis=0, keepdims=True), npt.NDArray[np.float64]) +assert_type(np.quantile(AR_c16, 0.50), np.complex128) +assert_type(np.quantile(AR_m, 0.50), np.timedelta64) +assert_type(np.quantile(AR_M, 0.50, overwrite_input=True), np.datetime64) +assert_type(np.quantile(AR_O, 0.50), Any) +assert_type(np.quantile(AR_f8, [0.50]), npt.NDArray[np.float64]) +assert_type(np.quantile(AR_f8, [0.50], axis=1), npt.NDArray[np.float64]) +assert_type(np.quantile(AR_f8, [0.50], keepdims=True), npt.NDArray[np.float64]) +assert_type(np.quantile(AR_c16, [0.50]), npt.NDArray[np.complex128]) +assert_type(np.quantile(AR_m, [0.50]), npt.NDArray[np.timedelta64]) +assert_type(np.quantile(AR_M, [0.50], method="nearest"), npt.NDArray[np.datetime64]) +assert_type(np.quantile(AR_O, [0.50]), npt.NDArray[np.object_]) +assert_type(np.quantile(AR_f8, [0.50], keepdims=True), npt.NDArray[np.float64]) +assert_type(np.quantile(AR_f8, [0.50], out=AR_c16), npt.NDArray[np.complex128]) + +# trapezoid +assert_type(np.trapezoid(AR_LIKE_f8), np.float64) +assert_type(np.trapezoid(AR_LIKE_f8, AR_LIKE_f8), np.float64) +assert_type(np.trapezoid(AR_LIKE_c16), np.complex128) +assert_type(np.trapezoid(AR_LIKE_c16, AR_LIKE_f8), np.complex128) +assert_type(np.trapezoid(AR_LIKE_f8, AR_LIKE_c16), np.complex128) +assert_type(np.trapezoid(AR_LIKE_O), float) +assert_type(np.trapezoid(AR_LIKE_O, AR_LIKE_f8), float) +assert_type(np.trapezoid(AR_f8), np.float64 | npt.NDArray[np.float64]) +assert_type(np.trapezoid(AR_f8, AR_f8), np.float64 | npt.NDArray[np.float64]) +assert_type(np.trapezoid(AR_c16), np.complex128 | npt.NDArray[np.complex128]) +assert_type(np.trapezoid(AR_c16, AR_c16), np.complex128 | npt.NDArray[np.complex128]) +assert_type(np.trapezoid(AR_m), np.timedelta64 | npt.NDArray[np.timedelta64]) +assert_type(np.trapezoid(AR_O), npt.NDArray[np.object_] | Any) +assert_type(np.trapezoid(AR_O, AR_LIKE_f8), npt.NDArray[np.object_] | Any) + +# meshgrid +assert_type(np.meshgrid(), tuple[()]) +assert_type( + np.meshgrid(AR_f8), + tuple[ + np.ndarray[tuple[int], np.dtype[np.float64]], + ], +) +assert_type( + np.meshgrid(AR_c16, indexing="ij"), + tuple[ + np.ndarray[tuple[int], np.dtype[np.complex128]], + ], +) +assert_type( + np.meshgrid(AR_i8, AR_f8, copy=False), + tuple[ + np.ndarray[tuple[int, int], np.dtype[np.int64]], + np.ndarray[tuple[int, int], np.dtype[np.float64]], + ], +) +assert_type( + np.meshgrid(AR_LIKE_f8, AR_f8), + tuple[ + np.ndarray[tuple[int, int]], + np.ndarray[tuple[int, int], np.dtype[np.float64]], + ], +) +assert_type( + np.meshgrid(AR_f8, AR_LIKE_f8), + tuple[ + np.ndarray[tuple[int, int], np.dtype[np.float64]], + np.ndarray[tuple[int, int]], + ], +) +assert_type( + np.meshgrid(AR_LIKE_f8, AR_LIKE_f8), + tuple[ + np.ndarray[tuple[int, int]], + np.ndarray[tuple[int, int]], + ], +) +assert_type( + np.meshgrid(AR_f8, AR_i8, AR_c16), + tuple[ + np.ndarray[tuple[int, int, int], np.dtype[np.float64]], + np.ndarray[tuple[int, int, int], np.dtype[np.int64]], + np.ndarray[tuple[int, int, int], np.dtype[np.complex128]], + ], +) +assert_type(np.meshgrid(AR_f8, AR_f8, AR_f8, AR_f8), tuple[npt.NDArray[np.float64], ...]) +assert_type(np.meshgrid(AR_f8, AR_f8, AR_f8, AR_LIKE_f8), tuple[np.ndarray, ...]) +assert_type(np.meshgrid(*AR_LIKE_f8), tuple[np.ndarray, ...]) + +# delete +assert_type(np.delete(AR_f8, np.s_[:5]), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.delete(AR_LIKE_f8, [0, 4, 9], axis=0), np.ndarray) + +# insert +assert_type(np.insert(AR_f8, np.s_[:5], 5), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.insert(AR_LIKE_f8, [0, 4, 9], [0.5, 9.2, 7], axis=0), np.ndarray) + +# append +assert_type(np.append(f8, f8), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.append(AR_f8, AR_f8), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.append(AR_LIKE_f8, AR_LIKE_c16, axis=0), np.ndarray) +assert_type(np.append(AR_f8, AR_LIKE_f8, axis=0), np.ndarray) + +# digitize +assert_type(np.digitize(4.5, [1]), np.intp) +assert_type(np.digitize(AR_f8, [1, 2, 3]), npt.NDArray[np.intp]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_polynomial.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_polynomial.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b7cbadefc610c7a3ebf7a6aeecac1ee7647e973b --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_polynomial.pyi @@ -0,0 +1,147 @@ +from collections.abc import Iterator +from typing import Any, NoReturn, assert_type + +import numpy as np +import numpy.typing as npt + +AR_b: npt.NDArray[np.bool] +AR_u4: npt.NDArray[np.uint32] +AR_i8: npt.NDArray[np.int64] +AR_f8: npt.NDArray[np.float64] +AR_c16: npt.NDArray[np.complex128] +AR_O: npt.NDArray[np.object_] + +poly_obj: np.poly1d + +assert_type(poly_obj.variable, str) +assert_type(poly_obj.order, int) +assert_type(poly_obj.o, int) +assert_type(poly_obj.roots, npt.NDArray[Any]) +assert_type(poly_obj.r, npt.NDArray[Any]) +assert_type(poly_obj.coeffs, npt.NDArray[Any]) +assert_type(poly_obj.c, npt.NDArray[Any]) +assert_type(poly_obj.coef, npt.NDArray[Any]) +assert_type(poly_obj.coefficients, npt.NDArray[Any]) +assert_type(poly_obj.__hash__, None) + +assert_type(poly_obj(1), Any) +assert_type(poly_obj([1]), npt.NDArray[Any]) +assert_type(poly_obj(poly_obj), np.poly1d) + +assert_type(len(poly_obj), int) +assert_type(-poly_obj, np.poly1d) +assert_type(+poly_obj, np.poly1d) + +assert_type(poly_obj * 5, np.poly1d) +assert_type(5 * poly_obj, np.poly1d) +assert_type(poly_obj + 5, np.poly1d) +assert_type(5 + poly_obj, np.poly1d) +assert_type(poly_obj - 5, np.poly1d) +assert_type(5 - poly_obj, np.poly1d) +assert_type(poly_obj**1, np.poly1d) +assert_type(poly_obj**1.0, np.poly1d) +assert_type(poly_obj / 5, np.poly1d) +assert_type(5 / poly_obj, np.poly1d) + +assert_type(poly_obj[0], Any) +poly_obj[0] = 5 +assert_type(iter(poly_obj), Iterator[Any]) +assert_type(poly_obj.deriv(), np.poly1d) +assert_type(poly_obj.integ(), np.poly1d) + +assert_type(np.poly(poly_obj), npt.NDArray[np.floating]) +assert_type(np.poly(AR_f8), npt.NDArray[np.floating]) +assert_type(np.poly(AR_c16), npt.NDArray[np.floating]) + +assert_type(np.polyint(poly_obj), np.poly1d) +assert_type(np.polyint(AR_f8), npt.NDArray[np.floating]) +assert_type(np.polyint(AR_f8, k=AR_c16), npt.NDArray[np.complexfloating]) +assert_type(np.polyint(AR_O, m=2), npt.NDArray[np.object_]) + +assert_type(np.polyder(poly_obj), np.poly1d) +assert_type(np.polyder(AR_f8), npt.NDArray[np.floating]) +assert_type(np.polyder(AR_c16), npt.NDArray[np.complexfloating]) +assert_type(np.polyder(AR_O, m=2), npt.NDArray[np.object_]) + +assert_type(np.polyfit(AR_f8, AR_f8, 2), npt.NDArray[np.float64]) +assert_type( + np.polyfit(AR_f8, AR_i8, 1, full=True), + tuple[ + npt.NDArray[np.float64], + npt.NDArray[np.float64], + npt.NDArray[np.int32], + npt.NDArray[np.float64], + npt.NDArray[np.float64], + ], +) +assert_type( + np.polyfit(AR_u4, AR_f8, 1.0, cov="unscaled"), + tuple[ + npt.NDArray[np.float64], + npt.NDArray[np.float64], + ], +) +assert_type(np.polyfit(AR_c16, AR_f8, 2), npt.NDArray[np.complex128]) +assert_type( + np.polyfit(AR_f8, AR_c16, 1, full=True), + tuple[ + npt.NDArray[np.complex128], + npt.NDArray[np.float64], + npt.NDArray[np.int32], + npt.NDArray[np.float64], + npt.NDArray[np.float64], + ], +) +assert_type( + np.polyfit(AR_u4, AR_c16, 1.0, cov=True), + tuple[ + npt.NDArray[np.complex128], + npt.NDArray[np.complex128], + ], +) + +assert_type(np.polyval(AR_b, AR_b), npt.NDArray[np.int64]) +assert_type(np.polyval(AR_u4, AR_b), npt.NDArray[np.unsignedinteger]) +assert_type(np.polyval(AR_i8, AR_i8), npt.NDArray[np.signedinteger]) +assert_type(np.polyval(AR_f8, AR_i8), npt.NDArray[np.floating]) +assert_type(np.polyval(AR_i8, AR_c16), npt.NDArray[np.complexfloating]) +assert_type(np.polyval(AR_O, AR_O), npt.NDArray[np.object_]) + +assert_type(np.polyadd(poly_obj, AR_i8), np.poly1d) +assert_type(np.polyadd(AR_f8, poly_obj), np.poly1d) +assert_type(np.polyadd(AR_b, AR_b), npt.NDArray[np.bool]) +assert_type(np.polyadd(AR_u4, AR_b), npt.NDArray[np.unsignedinteger]) +assert_type(np.polyadd(AR_i8, AR_i8), npt.NDArray[np.signedinteger]) +assert_type(np.polyadd(AR_f8, AR_i8), npt.NDArray[np.floating]) +assert_type(np.polyadd(AR_i8, AR_c16), npt.NDArray[np.complexfloating]) +assert_type(np.polyadd(AR_O, AR_O), npt.NDArray[np.object_]) + +assert_type(np.polysub(poly_obj, AR_i8), np.poly1d) +assert_type(np.polysub(AR_f8, poly_obj), np.poly1d) + +def test_invalid_polysub() -> None: + assert_type(np.polysub(AR_b, AR_b), NoReturn) + +assert_type(np.polysub(AR_u4, AR_b), npt.NDArray[np.unsignedinteger]) +assert_type(np.polysub(AR_i8, AR_i8), npt.NDArray[np.signedinteger]) +assert_type(np.polysub(AR_f8, AR_i8), npt.NDArray[np.floating]) +assert_type(np.polysub(AR_i8, AR_c16), npt.NDArray[np.complexfloating]) +assert_type(np.polysub(AR_O, AR_O), npt.NDArray[np.object_]) + +assert_type(np.polymul(poly_obj, AR_i8), np.poly1d) +assert_type(np.polymul(AR_f8, poly_obj), np.poly1d) +assert_type(np.polymul(AR_b, AR_b), npt.NDArray[np.bool]) +assert_type(np.polymul(AR_u4, AR_b), npt.NDArray[np.unsignedinteger]) +assert_type(np.polymul(AR_i8, AR_i8), npt.NDArray[np.signedinteger]) +assert_type(np.polymul(AR_f8, AR_i8), npt.NDArray[np.floating]) +assert_type(np.polymul(AR_i8, AR_c16), npt.NDArray[np.complexfloating]) +assert_type(np.polymul(AR_O, AR_O), npt.NDArray[np.object_]) + +assert_type(np.polydiv(poly_obj, AR_i8), tuple[np.poly1d, np.poly1d]) +assert_type(np.polydiv(AR_f8, poly_obj), tuple[np.poly1d, np.poly1d]) +assert_type(np.polydiv(AR_b, AR_b), tuple[npt.NDArray[np.floating], npt.NDArray[np.floating]]) +assert_type(np.polydiv(AR_u4, AR_b), tuple[npt.NDArray[np.floating], npt.NDArray[np.floating]]) +assert_type(np.polydiv(AR_i8, AR_i8), tuple[npt.NDArray[np.floating], npt.NDArray[np.floating]]) +assert_type(np.polydiv(AR_f8, AR_i8), tuple[npt.NDArray[np.floating], npt.NDArray[np.floating]]) +assert_type(np.polydiv(AR_i8, AR_c16), tuple[npt.NDArray[np.complexfloating], npt.NDArray[np.complexfloating]]) +assert_type(np.polydiv(AR_O, AR_O), tuple[npt.NDArray[Any], npt.NDArray[Any]]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_utils.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_utils.pyi new file mode 100644 index 0000000000000000000000000000000000000000..c9470e00a3590c00594d87856a232575bc9ff63e --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_utils.pyi @@ -0,0 +1,17 @@ +from io import StringIO +from typing import assert_type + +import numpy as np +import numpy.lib.array_utils as array_utils +import numpy.typing as npt + +AR: npt.NDArray[np.float64] +AR_DICT: dict[str, npt.NDArray[np.float64]] +FILE: StringIO + +def func(a: int) -> bool: ... + +assert_type(array_utils.byte_bounds(AR), tuple[int, int]) +assert_type(array_utils.byte_bounds(np.float64()), tuple[int, int]) + +assert_type(np.info(1, output=FILE), None) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_version.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_version.pyi new file mode 100644 index 0000000000000000000000000000000000000000..03735375ae3e8945c5f9d8f1cab7c90be60f8cf6 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/lib_version.pyi @@ -0,0 +1,20 @@ +from typing import assert_type + +from numpy.lib import NumpyVersion + +version = NumpyVersion("1.8.0") + +assert_type(version.vstring, str) +assert_type(version.version, str) +assert_type(version.major, int) +assert_type(version.minor, int) +assert_type(version.bugfix, int) +assert_type(version.pre_release, str) +assert_type(version.is_devversion, bool) + +assert_type(version == version, bool) +assert_type(version != version, bool) +assert_type(version < "1.8.0", bool) +assert_type(version <= version, bool) +assert_type(version > version, bool) +assert_type(version >= "1.8.0", bool) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/linalg.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/linalg.pyi new file mode 100644 index 0000000000000000000000000000000000000000..60056516def0e06f168ee5f6c165160bc6c38be6 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/linalg.pyi @@ -0,0 +1,154 @@ +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt +from numpy.linalg._linalg import ( + EighResult, + EigResult, + QRResult, + SlogdetResult, + SVDResult, +) + +float_list_2d: list[list[float]] +AR_i8: npt.NDArray[np.int64] +AR_f4: npt.NDArray[np.float32] +AR_f8: npt.NDArray[np.float64] +AR_c8: npt.NDArray[np.complex64] +AR_c16: npt.NDArray[np.complex128] +AR_O: npt.NDArray[np.object_] +AR_m: npt.NDArray[np.timedelta64] +AR_S: npt.NDArray[np.str_] +AR_b: npt.NDArray[np.bool] + +assert_type(np.linalg.tensorsolve(AR_i8, AR_i8), npt.NDArray[np.float64]) +assert_type(np.linalg.tensorsolve(AR_i8, AR_f8), npt.NDArray[np.floating]) +assert_type(np.linalg.tensorsolve(AR_c16, AR_f8), npt.NDArray[np.complexfloating]) + +assert_type(np.linalg.solve(AR_i8, AR_i8), npt.NDArray[np.float64]) +assert_type(np.linalg.solve(AR_i8, AR_f8), npt.NDArray[np.floating]) +assert_type(np.linalg.solve(AR_c16, AR_f8), npt.NDArray[np.complexfloating]) + +assert_type(np.linalg.tensorinv(AR_i8), npt.NDArray[np.float64]) +assert_type(np.linalg.tensorinv(AR_f8), npt.NDArray[np.floating]) +assert_type(np.linalg.tensorinv(AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.linalg.inv(AR_i8), npt.NDArray[np.float64]) +assert_type(np.linalg.inv(AR_f8), npt.NDArray[np.floating]) +assert_type(np.linalg.inv(AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.linalg.matrix_power(AR_i8, -1), npt.NDArray[Any]) +assert_type(np.linalg.matrix_power(AR_f8, 0), npt.NDArray[Any]) +assert_type(np.linalg.matrix_power(AR_c16, 1), npt.NDArray[Any]) +assert_type(np.linalg.matrix_power(AR_O, 2), npt.NDArray[Any]) + +assert_type(np.linalg.cholesky(AR_i8), npt.NDArray[np.float64]) +assert_type(np.linalg.cholesky(AR_f8), npt.NDArray[np.floating]) +assert_type(np.linalg.cholesky(AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.linalg.outer(AR_i8, AR_i8), npt.NDArray[np.int64]) +assert_type(np.linalg.outer(AR_f8, AR_f8), npt.NDArray[np.float64]) +assert_type(np.linalg.outer(AR_c16, AR_c16), npt.NDArray[np.complex128]) +assert_type(np.linalg.outer(AR_b, AR_b), npt.NDArray[np.bool]) +assert_type(np.linalg.outer(AR_O, AR_O), npt.NDArray[np.object_]) +assert_type(np.linalg.outer(AR_i8, AR_m), npt.NDArray[np.timedelta64]) + +assert_type(np.linalg.qr(AR_i8), QRResult) +assert_type(np.linalg.qr(AR_f8), QRResult) +assert_type(np.linalg.qr(AR_c16), QRResult) + +assert_type(np.linalg.eigvals(AR_i8), npt.NDArray[np.float64] | npt.NDArray[np.complex128]) +assert_type(np.linalg.eigvals(AR_f8), npt.NDArray[np.floating] | npt.NDArray[np.complexfloating]) +assert_type(np.linalg.eigvals(AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.linalg.eigvalsh(AR_i8), npt.NDArray[np.float64]) +assert_type(np.linalg.eigvalsh(AR_f8), npt.NDArray[np.floating]) +assert_type(np.linalg.eigvalsh(AR_c16), npt.NDArray[np.floating]) + +assert_type(np.linalg.eig(AR_i8), EigResult) +assert_type(np.linalg.eig(AR_f8), EigResult) +assert_type(np.linalg.eig(AR_c16), EigResult) + +assert_type(np.linalg.eigh(AR_i8), EighResult) +assert_type(np.linalg.eigh(AR_f8), EighResult) +assert_type(np.linalg.eigh(AR_c16), EighResult) + +assert_type(np.linalg.svd(AR_i8), SVDResult) +assert_type(np.linalg.svd(AR_f8), SVDResult) +assert_type(np.linalg.svd(AR_c16), SVDResult) +assert_type(np.linalg.svd(AR_i8, compute_uv=False), npt.NDArray[np.float64]) +assert_type(np.linalg.svd(AR_i8, True, False), npt.NDArray[np.float64]) +assert_type(np.linalg.svd(AR_f8, compute_uv=False), npt.NDArray[np.floating]) +assert_type(np.linalg.svd(AR_c16, compute_uv=False), npt.NDArray[np.floating]) +assert_type(np.linalg.svd(AR_c16, True, False), npt.NDArray[np.floating]) + +assert_type(np.linalg.svdvals(AR_b), npt.NDArray[np.float64]) +assert_type(np.linalg.svdvals(AR_i8), npt.NDArray[np.float64]) +assert_type(np.linalg.svdvals(AR_f4), npt.NDArray[np.float32]) +assert_type(np.linalg.svdvals(AR_c8), npt.NDArray[np.float32]) +assert_type(np.linalg.svdvals(AR_f8), npt.NDArray[np.float64]) +assert_type(np.linalg.svdvals(AR_c16), npt.NDArray[np.float64]) +assert_type(np.linalg.svdvals([[1, 2], [3, 4]]), npt.NDArray[np.float64]) +assert_type(np.linalg.svdvals([[1.0, 2.0], [3.0, 4.0]]), npt.NDArray[np.float64]) +assert_type(np.linalg.svdvals([[1j, 2j], [3j, 4j]]), npt.NDArray[np.float64]) + +assert_type(np.linalg.cond(AR_i8), Any) +assert_type(np.linalg.cond(AR_f8), Any) +assert_type(np.linalg.cond(AR_c16), Any) + +assert_type(np.linalg.matrix_rank(AR_i8), Any) +assert_type(np.linalg.matrix_rank(AR_f8), Any) +assert_type(np.linalg.matrix_rank(AR_c16), Any) + +assert_type(np.linalg.pinv(AR_i8), npt.NDArray[np.float64]) +assert_type(np.linalg.pinv(AR_f8), npt.NDArray[np.floating]) +assert_type(np.linalg.pinv(AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.linalg.slogdet(AR_i8), SlogdetResult) +assert_type(np.linalg.slogdet(AR_f8), SlogdetResult) +assert_type(np.linalg.slogdet(AR_c16), SlogdetResult) + +assert_type(np.linalg.det(AR_i8), Any) +assert_type(np.linalg.det(AR_f8), Any) +assert_type(np.linalg.det(AR_c16), Any) + +assert_type(np.linalg.lstsq(AR_i8, AR_i8), tuple[npt.NDArray[np.float64], npt.NDArray[np.float64], np.int32, npt.NDArray[np.float64]]) +assert_type(np.linalg.lstsq(AR_i8, AR_f8), tuple[npt.NDArray[np.floating], npt.NDArray[np.floating], np.int32, npt.NDArray[np.floating]]) +assert_type(np.linalg.lstsq(AR_f8, AR_c16), tuple[npt.NDArray[np.complexfloating], npt.NDArray[np.floating], np.int32, npt.NDArray[np.floating]]) + +assert_type(np.linalg.norm(AR_i8), np.floating) +assert_type(np.linalg.norm(AR_f8), np.floating) +assert_type(np.linalg.norm(AR_c16), np.floating) +assert_type(np.linalg.norm(AR_S), np.floating) +assert_type(np.linalg.norm(AR_f8, axis=0), Any) + +assert_type(np.linalg.matrix_norm(AR_i8), np.floating) +assert_type(np.linalg.matrix_norm(AR_f8), np.floating) +assert_type(np.linalg.matrix_norm(AR_c16), np.floating) +assert_type(np.linalg.matrix_norm(AR_S), np.floating) + +assert_type(np.linalg.vector_norm(AR_i8), np.floating) +assert_type(np.linalg.vector_norm(AR_f8), np.floating) +assert_type(np.linalg.vector_norm(AR_c16), np.floating) +assert_type(np.linalg.vector_norm(AR_S), np.floating) + +assert_type(np.linalg.tensordot(AR_b, AR_b), npt.NDArray[np.bool]) +assert_type(np.linalg.tensordot(AR_i8, AR_i8), npt.NDArray[np.int64]) +assert_type(np.linalg.tensordot(AR_f8, AR_f8), npt.NDArray[np.float64]) +assert_type(np.linalg.tensordot(AR_c16, AR_c16), npt.NDArray[np.complex128]) +assert_type(np.linalg.tensordot(AR_m, AR_m), npt.NDArray[np.timedelta64]) +assert_type(np.linalg.tensordot(AR_O, AR_O), npt.NDArray[np.object_]) + +assert_type(np.linalg.multi_dot([AR_i8, AR_i8]), Any) +assert_type(np.linalg.multi_dot([AR_i8, AR_f8]), Any) +assert_type(np.linalg.multi_dot([AR_f8, AR_c16]), Any) +assert_type(np.linalg.multi_dot([AR_O, AR_O]), Any) +assert_type(np.linalg.multi_dot([AR_m, AR_m]), Any) + +assert_type(np.linalg.cross(AR_i8, AR_i8), npt.NDArray[np.signedinteger]) +assert_type(np.linalg.cross(AR_f8, AR_f8), npt.NDArray[np.floating]) +assert_type(np.linalg.cross(AR_c16, AR_c16), npt.NDArray[np.complexfloating]) + +assert_type(np.linalg.matmul(AR_i8, AR_i8), npt.NDArray[np.int64]) +assert_type(np.linalg.matmul(AR_f8, AR_f8), npt.NDArray[np.float64]) +assert_type(np.linalg.matmul(AR_c16, AR_c16), npt.NDArray[np.complex128]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ma.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ma.pyi new file mode 100644 index 0000000000000000000000000000000000000000..8eef32ddd59375fd2ae1dd7044c0ecd950227f69 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ma.pyi @@ -0,0 +1,1098 @@ +from typing import Any, Generic, Literal, NoReturn, TypeAlias, TypeVar, assert_type + +import numpy as np +from numpy import dtype, generic +from numpy._typing import NDArray, _AnyShape + +_ScalarT = TypeVar("_ScalarT", bound=generic) +_ScalarT_co = TypeVar("_ScalarT_co", bound=generic, covariant=True) + +MaskedArray: TypeAlias = np.ma.MaskedArray[_AnyShape, dtype[_ScalarT]] +_NoMaskType: TypeAlias = np.bool[Literal[False]] +_Array1D: TypeAlias = np.ndarray[tuple[int], np.dtype[_ScalarT]] + +class MaskedArraySubclass(MaskedArray[_ScalarT_co]): ... + +class IntoMaskedArraySubClass(Generic[_ScalarT_co]): + def __array__(self) -> MaskedArraySubclass[_ScalarT_co]: ... + +MaskedArraySubclassC: TypeAlias = MaskedArraySubclass[np.complex128] + +AR_b: NDArray[np.bool] +AR_f4: NDArray[np.float32] +AR_i8: NDArray[np.int64] +AR_u4: NDArray[np.uint32] +AR_dt64: NDArray[np.datetime64] +AR_td64: NDArray[np.timedelta64] +AR_o: NDArray[np.timedelta64] + +AR_LIKE_b: list[bool] +AR_LIKE_u: list[np.uint32] +AR_LIKE_i: list[int] +AR_LIKE_f: list[float] +AR_LIKE_c: list[complex] +AR_LIKE_td64: list[np.timedelta64] +AR_LIKE_dt64: list[np.datetime64] +AR_LIKE_o: list[np.object_] +AR_number: NDArray[np.number] + +MAR_c8: MaskedArray[np.complex64] +MAR_c16: MaskedArray[np.complex128] +MAR_b: MaskedArray[np.bool] +MAR_f4: MaskedArray[np.float32] +MAR_f8: MaskedArray[np.float64] +MAR_i8: MaskedArray[np.int64] +MAR_u4: MaskedArray[np.uint32] +MAR_dt64: MaskedArray[np.datetime64] +MAR_td64: MaskedArray[np.timedelta64] +MAR_o: MaskedArray[np.object_] +MAR_s: MaskedArray[np.str_] +MAR_byte: MaskedArray[np.bytes_] +MAR_V: MaskedArray[np.void] +MAR_floating: MaskedArray[np.floating] +MAR_number: MaskedArray[np.number] + +MAR_subclass: MaskedArraySubclassC +MAR_into_subclass: IntoMaskedArraySubClass[np.float32] + +MAR_1d: np.ma.MaskedArray[tuple[int], np.dtype] +MAR_2d_f4: np.ma.MaskedArray[tuple[int, int], np.dtype[np.float32]] +MAR_2d_V: np.ma.MaskedArray[tuple[int, int], np.dtype[np.void]] + +b: np.bool +f4: np.float32 +f: float +i: int + +assert_type(MAR_1d.shape, tuple[int]) + +assert_type(MAR_f4.dtype, np.dtype[np.float32]) + +assert_type(int(MAR_i8), int) +assert_type(float(MAR_f4), float) + +assert_type(np.ma.min(MAR_b), np.bool) +assert_type(np.ma.min(MAR_f4), np.float32) +assert_type(np.ma.min(MAR_b, axis=0), Any) +assert_type(np.ma.min(MAR_f4, axis=0), Any) +assert_type(np.ma.min(MAR_b, keepdims=True), Any) +assert_type(np.ma.min(MAR_f4, keepdims=True), Any) +assert_type(np.ma.min(MAR_f4, out=MAR_subclass), MaskedArraySubclassC) +assert_type(np.ma.min(MAR_f4, 0, MAR_subclass), MaskedArraySubclassC) +assert_type(np.ma.min(MAR_f4, None, MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_b.min(), np.bool) +assert_type(MAR_f4.min(), np.float32) +assert_type(MAR_b.min(axis=0), Any) +assert_type(MAR_f4.min(axis=0), Any) +assert_type(MAR_b.min(keepdims=True), Any) +assert_type(MAR_f4.min(keepdims=True), Any) +assert_type(MAR_f4.min(out=MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f4.min(0, MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f4.min(None, MAR_subclass), MaskedArraySubclassC) + +assert_type(np.ma.max(MAR_b), np.bool) +assert_type(np.ma.max(MAR_f4), np.float32) +assert_type(np.ma.max(MAR_b, axis=0), Any) +assert_type(np.ma.max(MAR_f4, axis=0), Any) +assert_type(np.ma.max(MAR_b, keepdims=True), Any) +assert_type(np.ma.max(MAR_f4, keepdims=True), Any) +assert_type(np.ma.max(MAR_f4, out=MAR_subclass), MaskedArraySubclassC) +assert_type(np.ma.max(MAR_f4, 0, MAR_subclass), MaskedArraySubclassC) +assert_type(np.ma.max(MAR_f4, None, MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_b.max(), np.bool) +assert_type(MAR_f4.max(), np.float32) +assert_type(MAR_b.max(axis=0), Any) +assert_type(MAR_f4.max(axis=0), Any) +assert_type(MAR_b.max(keepdims=True), Any) +assert_type(MAR_f4.max(keepdims=True), Any) +assert_type(MAR_f4.max(out=MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f4.max(0, MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f4.max(None, MAR_subclass), MaskedArraySubclassC) + +assert_type(np.ma.ptp(MAR_b), np.bool) +assert_type(np.ma.ptp(MAR_f4), np.float32) +assert_type(np.ma.ptp(MAR_b, axis=0), Any) +assert_type(np.ma.ptp(MAR_f4, axis=0), Any) +assert_type(np.ma.ptp(MAR_b, keepdims=True), Any) +assert_type(np.ma.ptp(MAR_f4, keepdims=True), Any) +assert_type(np.ma.ptp(MAR_f4, out=MAR_subclass), MaskedArraySubclassC) +assert_type(np.ma.ptp(MAR_f4, 0, MAR_subclass), MaskedArraySubclassC) +assert_type(np.ma.ptp(MAR_f4, None, MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_b.ptp(), np.bool) +assert_type(MAR_f4.ptp(), np.float32) +assert_type(MAR_b.ptp(axis=0), Any) +assert_type(MAR_f4.ptp(axis=0), Any) +assert_type(MAR_b.ptp(keepdims=True), Any) +assert_type(MAR_f4.ptp(keepdims=True), Any) +assert_type(MAR_f4.ptp(out=MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f4.ptp(0, MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f4.ptp(None, MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_b.argmin(), np.intp) +assert_type(MAR_f4.argmin(), np.intp) +assert_type(MAR_f4.argmax(fill_value=6.28318, keepdims=False), np.intp) +assert_type(MAR_b.argmin(axis=0), Any) +assert_type(MAR_f4.argmin(axis=0), Any) +assert_type(MAR_b.argmin(keepdims=True), Any) +assert_type(MAR_f4.argmin(out=MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f4.argmin(None, None, out=MAR_subclass), MaskedArraySubclassC) + +assert_type(np.ma.argmin(MAR_b), np.intp) +assert_type(np.ma.argmin(MAR_f4), np.intp) +assert_type(np.ma.argmin(MAR_f4, fill_value=6.28318, keepdims=False), np.intp) +assert_type(np.ma.argmin(MAR_b, axis=0), Any) +assert_type(np.ma.argmin(MAR_f4, axis=0), Any) +assert_type(np.ma.argmin(MAR_b, keepdims=True), Any) +assert_type(np.ma.argmin(MAR_f4, out=MAR_subclass), MaskedArraySubclassC) +assert_type(np.ma.argmin(MAR_f4, None, None, out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_b.argmax(), np.intp) +assert_type(MAR_f4.argmax(), np.intp) +assert_type(MAR_f4.argmax(fill_value=6.28318, keepdims=False), np.intp) +assert_type(MAR_b.argmax(axis=0), Any) +assert_type(MAR_f4.argmax(axis=0), Any) +assert_type(MAR_b.argmax(keepdims=True), Any) +assert_type(MAR_f4.argmax(out=MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f4.argmax(None, None, out=MAR_subclass), MaskedArraySubclassC) + +assert_type(np.ma.argmax(MAR_b), np.intp) +assert_type(np.ma.argmax(MAR_f4), np.intp) +assert_type(np.ma.argmax(MAR_f4, fill_value=6.28318, keepdims=False), np.intp) +assert_type(np.ma.argmax(MAR_b, axis=0), Any) +assert_type(np.ma.argmax(MAR_f4, axis=0), Any) +assert_type(np.ma.argmax(MAR_b, keepdims=True), Any) +assert_type(np.ma.argmax(MAR_f4, out=MAR_subclass), MaskedArraySubclassC) +assert_type(np.ma.argmax(MAR_f4, None, None, out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_b.all(), np.bool) +assert_type(MAR_f4.all(), np.bool) +assert_type(MAR_f4.all(keepdims=False), np.bool) +assert_type(MAR_b.all(axis=0), np.bool | MaskedArray[np.bool]) +assert_type(MAR_b.all(axis=0, keepdims=True), MaskedArray[np.bool]) +assert_type(MAR_b.all(0, None, True), MaskedArray[np.bool]) +assert_type(MAR_f4.all(axis=0), np.bool | MaskedArray[np.bool]) +assert_type(MAR_b.all(keepdims=True), MaskedArray[np.bool]) +assert_type(MAR_f4.all(out=MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f4.all(None, out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_b.any(), np.bool) +assert_type(MAR_f4.any(), np.bool) +assert_type(MAR_f4.any(keepdims=False), np.bool) +assert_type(MAR_b.any(axis=0), np.bool | MaskedArray[np.bool]) +assert_type(MAR_b.any(axis=0, keepdims=True), MaskedArray[np.bool]) +assert_type(MAR_b.any(0, None, True), MaskedArray[np.bool]) +assert_type(MAR_f4.any(axis=0), np.bool | MaskedArray[np.bool]) +assert_type(MAR_b.any(keepdims=True), MaskedArray[np.bool]) +assert_type(MAR_f4.any(out=MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f4.any(None, out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_f4.sort(), None) +assert_type(MAR_f4.sort(axis=0, kind="quicksort", order="K", endwith=False, fill_value=42., stable=False), None) + +assert_type(np.ma.sort(MAR_f4), MaskedArray[np.float32]) +assert_type(np.ma.sort(MAR_subclass), MaskedArraySubclassC) +assert_type(np.ma.sort([[0, 1], [2, 3]]), NDArray[Any]) +assert_type(np.ma.sort(AR_f4), NDArray[np.float32]) + +assert_type(MAR_f8.take(0), np.float64) +assert_type(MAR_1d.take(0), Any) +assert_type(MAR_f8.take([0]), MaskedArray[np.float64]) +assert_type(MAR_f8.take(0, out=MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f8.take([0], out=MAR_subclass), MaskedArraySubclassC) + +assert_type(np.ma.take(f, 0), Any) +assert_type(np.ma.take(f4, 0), np.float32) +assert_type(np.ma.take(MAR_f8, 0), np.float64) +assert_type(np.ma.take(AR_f4, 0), np.float32) +assert_type(np.ma.take(MAR_1d, 0), Any) +assert_type(np.ma.take(MAR_f8, [0]), MaskedArray[np.float64]) +assert_type(np.ma.take(AR_f4, [0]), MaskedArray[np.float32]) +assert_type(np.ma.take(MAR_f8, 0, out=MAR_subclass), MaskedArraySubclassC) +assert_type(np.ma.take(MAR_f8, [0], out=MAR_subclass), MaskedArraySubclassC) +assert_type(np.ma.take([1], [0]), MaskedArray[Any]) +assert_type(np.ma.take(np.eye(2), 1, axis=0), MaskedArray[np.float64]) + +assert_type(MAR_f4.partition(1), None) +assert_type(MAR_V.partition(1, axis=0, kind="introselect", order="K"), None) + +assert_type(MAR_f4.argpartition(1), MaskedArray[np.intp]) +assert_type(MAR_1d.argpartition(1, axis=0, kind="introselect", order="K"), MaskedArray[np.intp]) + +assert_type(np.ma.ndim(f4), int) +assert_type(np.ma.ndim(MAR_b), int) +assert_type(np.ma.ndim(AR_f4), int) + +assert_type(np.ma.size(b), int) +assert_type(np.ma.size(MAR_f4, axis=0), int) +assert_type(np.ma.size(AR_f4), int) + +assert_type(np.ma.is_masked(MAR_f4), bool) + +assert_type(MAR_f4.ids(), tuple[int, int]) + +assert_type(MAR_f4.iscontiguous(), bool) + +assert_type(MAR_f4 >= 3, MaskedArray[np.bool]) +assert_type(MAR_i8 >= AR_td64, MaskedArray[np.bool]) +assert_type(MAR_b >= AR_td64, MaskedArray[np.bool]) +assert_type(MAR_td64 >= AR_td64, MaskedArray[np.bool]) +assert_type(MAR_dt64 >= AR_dt64, MaskedArray[np.bool]) +assert_type(MAR_o >= AR_o, MaskedArray[np.bool]) +assert_type(MAR_1d >= 0, MaskedArray[np.bool]) +assert_type(MAR_s >= MAR_s, MaskedArray[np.bool]) +assert_type(MAR_byte >= MAR_byte, MaskedArray[np.bool]) + +assert_type(MAR_f4 > 3, MaskedArray[np.bool]) +assert_type(MAR_i8 > AR_td64, MaskedArray[np.bool]) +assert_type(MAR_b > AR_td64, MaskedArray[np.bool]) +assert_type(MAR_td64 > AR_td64, MaskedArray[np.bool]) +assert_type(MAR_dt64 > AR_dt64, MaskedArray[np.bool]) +assert_type(MAR_o > AR_o, MaskedArray[np.bool]) +assert_type(MAR_1d > 0, MaskedArray[np.bool]) +assert_type(MAR_s > MAR_s, MaskedArray[np.bool]) +assert_type(MAR_byte > MAR_byte, MaskedArray[np.bool]) + +assert_type(MAR_f4 <= 3, MaskedArray[np.bool]) +assert_type(MAR_i8 <= AR_td64, MaskedArray[np.bool]) +assert_type(MAR_b <= AR_td64, MaskedArray[np.bool]) +assert_type(MAR_td64 <= AR_td64, MaskedArray[np.bool]) +assert_type(MAR_dt64 <= AR_dt64, MaskedArray[np.bool]) +assert_type(MAR_o <= AR_o, MaskedArray[np.bool]) +assert_type(MAR_1d <= 0, MaskedArray[np.bool]) +assert_type(MAR_s <= MAR_s, MaskedArray[np.bool]) +assert_type(MAR_byte <= MAR_byte, MaskedArray[np.bool]) + +assert_type(MAR_f4 < 3, MaskedArray[np.bool]) +assert_type(MAR_i8 < AR_td64, MaskedArray[np.bool]) +assert_type(MAR_b < AR_td64, MaskedArray[np.bool]) +assert_type(MAR_td64 < AR_td64, MaskedArray[np.bool]) +assert_type(MAR_dt64 < AR_dt64, MaskedArray[np.bool]) +assert_type(MAR_o < AR_o, MaskedArray[np.bool]) +assert_type(MAR_1d < 0, MaskedArray[np.bool]) +assert_type(MAR_s < MAR_s, MaskedArray[np.bool]) +assert_type(MAR_byte < MAR_byte, MaskedArray[np.bool]) + +assert_type(MAR_f4 <= 3, MaskedArray[np.bool]) +assert_type(MAR_i8 <= AR_td64, MaskedArray[np.bool]) +assert_type(MAR_b <= AR_td64, MaskedArray[np.bool]) +assert_type(MAR_td64 <= AR_td64, MaskedArray[np.bool]) +assert_type(MAR_dt64 <= AR_dt64, MaskedArray[np.bool]) +assert_type(MAR_o <= AR_o, MaskedArray[np.bool]) +assert_type(MAR_1d <= 0, MaskedArray[np.bool]) +assert_type(MAR_s <= MAR_s, MaskedArray[np.bool]) +assert_type(MAR_byte <= MAR_byte, MaskedArray[np.bool]) + +assert_type(MAR_byte.count(), int) +assert_type(MAR_f4.count(axis=None), int) +assert_type(MAR_f4.count(axis=0), NDArray[np.int_]) +assert_type(MAR_b.count(axis=(0, 1)), NDArray[np.int_]) +assert_type(MAR_o.count(keepdims=True), NDArray[np.int_]) +assert_type(MAR_o.count(axis=None, keepdims=True), NDArray[np.int_]) +assert_type(MAR_o.count(None, True), NDArray[np.int_]) + +assert_type(np.ma.count(MAR_byte), int) +assert_type(np.ma.count(MAR_byte, axis=None), int) +assert_type(np.ma.count(MAR_f4, axis=0), NDArray[np.int_]) +assert_type(np.ma.count(MAR_b, axis=(0, 1)), NDArray[np.int_]) +assert_type(np.ma.count(MAR_o, keepdims=True), NDArray[np.int_]) +assert_type(np.ma.count(MAR_o, axis=None, keepdims=True), NDArray[np.int_]) +assert_type(np.ma.count(MAR_o, None, True), NDArray[np.int_]) + +assert_type(MAR_f4.compressed(), np.ndarray[tuple[int], np.dtype[np.float32]]) + +assert_type(MAR_f4.compress([True, False]), np.ma.MaskedArray[tuple[int], np.dtype[np.float32]]) +assert_type(MAR_f4.compress([True, False], axis=0), MaskedArray[np.float32]) +assert_type(MAR_f4.compress([True, False], axis=0, out=MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f4.compress([True, False], 0, MAR_subclass), MaskedArraySubclassC) + +assert_type(np.ma.compressed(MAR_i8), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(np.ma.compressed([[1, 2, 3]]), np.ndarray[tuple[int], np.dtype]) + +assert_type(MAR_f4.put([0, 4, 8], [10, 20, 30]), None) +assert_type(MAR_f4.put(4, 999), None) +assert_type(MAR_f4.put(4, 999, mode="clip"), None) + +assert_type(MAR_c8.__array_wrap__(AR_b), MaskedArray[np.bool]) + +assert_type(np.ma.put(MAR_f4, [0, 4, 8], [10, 20, 30]), None) +assert_type(np.ma.put(MAR_f4, 4, 999), None) +assert_type(np.ma.put(MAR_f4, 4, 999, mode="clip"), None) + +assert_type(np.ma.putmask(MAR_f4, [True, False], [0, 1]), None) +assert_type(np.ma.putmask(MAR_f4, np.False_, [0, 1]), None) + +assert_type(MAR_f4.filled(float("nan")), NDArray[np.float32]) +assert_type(MAR_i8.filled(), NDArray[np.int64]) +assert_type(MAR_1d.filled(), np.ndarray[tuple[int], np.dtype]) + +assert_type(np.ma.filled(MAR_f4, float("nan")), NDArray[np.float32]) +assert_type(np.ma.filled([[1, 2, 3]]), NDArray[Any]) +# PyRight detects this one correctly, but mypy doesn't. +# https://github.com/numpy/numpy/pull/28742#discussion_r2048968375 +assert_type(np.ma.filled(MAR_1d), np.ndarray[tuple[int], np.dtype]) # type: ignore[assert-type] + +assert_type(MAR_b.repeat(3), np.ma.MaskedArray[tuple[int], np.dtype[np.bool]]) +assert_type(MAR_2d_f4.repeat(MAR_i8), np.ma.MaskedArray[tuple[int], np.dtype[np.float32]]) +assert_type(MAR_2d_f4.repeat(MAR_i8, axis=None), np.ma.MaskedArray[tuple[int], np.dtype[np.float32]]) +assert_type(MAR_2d_f4.repeat(MAR_i8, axis=0), MaskedArray[np.float32]) + +assert_type(np.ma.allequal(AR_f4, MAR_f4), bool) +assert_type(np.ma.allequal(AR_f4, MAR_f4, fill_value=False), bool) + +assert_type(np.ma.allclose(AR_f4, MAR_f4), bool) +assert_type(np.ma.allclose(AR_f4, MAR_f4, masked_equal=False), bool) +assert_type(np.ma.allclose(AR_f4, MAR_f4, rtol=.4, atol=.3), bool) + +assert_type(MAR_2d_f4.ravel(), np.ma.MaskedArray[tuple[int], np.dtype[np.float32]]) +assert_type(MAR_1d.ravel(order="A"), np.ma.MaskedArray[tuple[int], np.dtype[Any]]) + +assert_type(np.ma.getmask(MAR_f4), NDArray[np.bool] | _NoMaskType) +# PyRight detects this one correctly, but mypy doesn't: +# `Revealed type is "Union[numpy.ndarray[Any, Any], numpy.bool[Any]]"` +assert_type(np.ma.getmask(MAR_1d), np.ndarray[tuple[int], np.dtype[np.bool]] | np.bool) # type: ignore[assert-type] +assert_type(np.ma.getmask(MAR_2d_f4), np.ndarray[tuple[int, int], np.dtype[np.bool]] | _NoMaskType) +assert_type(np.ma.getmask([1, 2]), NDArray[np.bool] | _NoMaskType) +assert_type(np.ma.getmask(np.int64(1)), _NoMaskType) + +assert_type(np.ma.is_mask(MAR_1d), bool) +assert_type(np.ma.is_mask(AR_b), bool) + +def func(x: object) -> None: + if np.ma.is_mask(x): + assert_type(x, NDArray[np.bool]) + else: + assert_type(x, object) + +assert_type(MAR_2d_f4.mT, np.ma.MaskedArray[tuple[int, int], np.dtype[np.float32]]) + +assert_type(MAR_c16.real, MaskedArray[np.float64]) +assert_type(MAR_c16.imag, MaskedArray[np.float64]) + +assert_type(MAR_2d_f4.baseclass, type[NDArray[Any]]) + +assert_type(MAR_b.swapaxes(0, 1), MaskedArray[np.bool]) +assert_type(MAR_2d_f4.swapaxes(1, 0), np.ma.MaskedArray[tuple[int, int], np.dtype[np.float32]]) + +assert_type(MAR_2d_f4[AR_i8], MaskedArray[np.float32]) +assert_type(MAR_2d_f4[[1, 2, 3]], MaskedArray[np.float32]) +assert_type(MAR_2d_f4[1:], MaskedArray[np.float32]) +assert_type(MAR_2d_f4[:], MaskedArray[np.float32]) +assert_type(MAR_2d_f4[0, 0], Any) +assert_type(MAR_2d_f4[:, np.newaxis], MaskedArray[np.float32]) +assert_type(MAR_2d_f4[..., -1], MaskedArray[np.float32]) +assert_type(MAR_2d_V["field_0"], np.ma.MaskedArray[tuple[int, int], np.dtype]) +assert_type(MAR_2d_V[["field_0", "field_1"]], np.ma.MaskedArray[tuple[int, int], np.dtype[np.void]]) + +assert_type(np.ma.nomask, np.bool[Literal[False]]) +assert_type(np.ma.MaskType, type[np.bool]) + +assert_type(MAR_1d.__setmask__([True, False]), None) +assert_type(MAR_1d.__setmask__(np.False_), None) + +assert_type(MAR_2d_f4.harden_mask(), np.ma.MaskedArray[tuple[int, int], np.dtype[np.float32]]) +assert_type(MAR_i8.harden_mask(), MaskedArray[np.int64]) +assert_type(MAR_2d_f4.soften_mask(), np.ma.MaskedArray[tuple[int, int], np.dtype[np.float32]]) +assert_type(MAR_i8.soften_mask(), MaskedArray[np.int64]) +assert_type(MAR_f4.unshare_mask(), MaskedArray[np.float32]) +assert_type(MAR_b.shrink_mask(), MaskedArray[np.bool_]) + +assert_type(MAR_i8.hardmask, bool) +assert_type(MAR_i8.sharedmask, bool) + +assert_type(MAR_i8.recordmask, np.ma.MaskType | NDArray[np.ma.MaskType]) +assert_type(MAR_2d_f4.recordmask, np.ma.MaskType | np.ndarray[tuple[int, int], np.dtype[np.ma.MaskType]]) + +assert_type(MAR_2d_f4.anom(), np.ma.MaskedArray[tuple[int, int], np.dtype[np.float32]]) +assert_type(MAR_2d_f4.anom(axis=0, dtype=np.float16), np.ma.MaskedArray[tuple[int, int], np.dtype]) +assert_type(MAR_2d_f4.anom(0, np.float16), np.ma.MaskedArray[tuple[int, int], np.dtype]) +assert_type(MAR_2d_f4.anom(0, "float16"), np.ma.MaskedArray[tuple[int, int], np.dtype]) + +assert_type(MAR_i8.fill_value, np.int64) + +assert_type(MAR_b.transpose(), MaskedArray[np.bool]) +assert_type(MAR_2d_f4.transpose(), np.ma.MaskedArray[tuple[int, int], np.dtype[np.float32]]) +assert_type(MAR_2d_f4.transpose(1, 0), np.ma.MaskedArray[tuple[int, int], np.dtype[np.float32]]) +assert_type(MAR_2d_f4.transpose((1, 0)), np.ma.MaskedArray[tuple[int, int], np.dtype[np.float32]]) +assert_type(MAR_b.T, MaskedArray[np.bool]) +assert_type(MAR_2d_f4.T, np.ma.MaskedArray[tuple[int, int], np.dtype[np.float32]]) + +assert_type(MAR_2d_f4.dot(1), MaskedArray[Any]) +assert_type(MAR_2d_f4.dot([1]), MaskedArray[Any]) +assert_type(MAR_2d_f4.dot(1, out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_2d_f4.nonzero(), tuple[_Array1D[np.intp], ...]) +assert_type(MAR_2d_f4.nonzero()[0], _Array1D[np.intp]) + +assert_type(MAR_f8.trace(), Any) +assert_type(MAR_f8.trace(out=MAR_subclass), MaskedArraySubclassC) +assert_type(MAR_f8.trace(out=MAR_subclass, dtype=None), MaskedArraySubclassC) + +assert_type(MAR_f8.round(), MaskedArray[np.float64]) +assert_type(MAR_f8.round(out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_i8.reshape(None), MaskedArray[np.int64]) +assert_type(MAR_f8.reshape(-1), np.ma.MaskedArray[tuple[int], np.dtype[np.float64]]) +assert_type(MAR_c8.reshape(2, 3, 4, 5), np.ma.MaskedArray[tuple[int, int, int, int], np.dtype[np.complex64]]) +assert_type(MAR_td64.reshape(()), np.ma.MaskedArray[tuple[()], np.dtype[np.timedelta64]]) +assert_type(MAR_s.reshape([]), np.ma.MaskedArray[tuple[()], np.dtype[np.str_]]) +assert_type(MAR_V.reshape((480, 720, 4)), np.ma.MaskedArray[tuple[int, int, int], np.dtype[np.void]]) + +assert_type(MAR_f8.cumprod(), MaskedArray[Any]) +assert_type(MAR_f8.cumprod(out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_f8.cumsum(), MaskedArray[Any]) +assert_type(MAR_f8.cumsum(out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_f8.view(), MaskedArray[np.float64]) +assert_type(MAR_f8.view(dtype=np.float32), MaskedArray[np.float32]) +assert_type(MAR_f8.view(dtype=np.dtype(np.float32)), MaskedArray[np.float32]) +assert_type(MAR_f8.view(dtype=np.float32, fill_value=0), MaskedArray[np.float32]) +assert_type(MAR_f8.view(type=np.ndarray), np.ndarray[Any, Any]) +assert_type(MAR_f8.view(None, np.ndarray), np.ndarray[Any, Any]) +assert_type(MAR_f8.view(dtype=np.ndarray), np.ndarray[Any, Any]) +assert_type(MAR_f8.view(dtype="float32"), MaskedArray[Any]) +assert_type(MAR_f8.view(dtype="float32", type=np.ndarray), np.ndarray[Any, Any]) +assert_type(MAR_2d_f4.view(dtype=np.float16), np.ma.MaskedArray[tuple[int, int], np.dtype[np.float16]]) +assert_type(MAR_2d_f4.view(dtype=np.dtype(np.float16)), np.ma.MaskedArray[tuple[int, int], np.dtype[np.float16]]) + +assert_type(MAR_f8.__deepcopy__(), MaskedArray[np.float64]) + +assert_type(MAR_f8.argsort(), MaskedArray[np.intp]) +assert_type(MAR_f8.argsort(axis=0, kind="heap", order=("x", "y")), MaskedArray[np.intp]) +assert_type(MAR_f8.argsort(endwith=True, fill_value=1.5, stable=False), MaskedArray[np.intp]) + +assert_type(MAR_2d_f4.flat, np.ma.core.MaskedIterator[tuple[int, int], np.dtype[np.float32]]) +assert_type(MAR_2d_f4.flat.ma, np.ma.MaskedArray[tuple[int, int], np.dtype[np.float32]]) +assert_type(MAR_2d_f4.flat[AR_i8], MaskedArray[np.float32]) +assert_type(MAR_2d_f4.flat[[1, 2, 3]], MaskedArray[np.float32]) +assert_type(MAR_2d_f4.flat[1:], MaskedArray[np.float32]) +assert_type(MAR_2d_f4.flat[:], MaskedArray[np.float32]) +assert_type(MAR_2d_f4.flat[0, 0], Any) +assert_type(MAR_2d_f4.flat[:, np.newaxis], MaskedArray[np.float32]) +assert_type(MAR_2d_f4.flat[..., -1], MaskedArray[np.float32]) + +def invalid_resize() -> None: + assert_type(MAR_f8.resize((1, 1)), NoReturn) # type: ignore[arg-type] + +assert_type(np.ma.MaskedArray(AR_f4), MaskedArray[np.float32]) +assert_type(np.ma.MaskedArray(np.array([1, 2, 3]), [True, True, False], np.float16), MaskedArray[np.float16]) +assert_type(np.ma.MaskedArray(np.array([1, 2, 3]), dtype=np.float16), MaskedArray[np.float16]) +assert_type(np.ma.MaskedArray(np.array([1, 2, 3]), copy=True), MaskedArray[Any]) +# TODO: This one could be made more precise, the return type could be `MaskedArraySubclassC` +assert_type(np.ma.MaskedArray(MAR_subclass), MaskedArray[np.complex128]) +# TODO: This one could be made more precise, the return type could be `MaskedArraySubclass[np.float32]` +assert_type(np.ma.MaskedArray(MAR_into_subclass), MaskedArray[np.float32]) + +# Masked Array addition + +assert_type(MAR_b + AR_LIKE_u, MaskedArray[np.uint32]) +assert_type(MAR_b + AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_b + AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_b + AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_b + AR_LIKE_td64, MaskedArray[np.timedelta64]) +assert_type(MAR_b + AR_LIKE_o, Any) + +assert_type(AR_LIKE_u + MAR_b, MaskedArray[np.uint32]) +assert_type(AR_LIKE_i + MAR_b, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f + MAR_b, MaskedArray[np.floating]) +assert_type(AR_LIKE_c + MAR_b, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_td64 + MAR_b, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_dt64 + MAR_b, MaskedArray[np.datetime64]) +assert_type(AR_LIKE_o + MAR_b, Any) + +assert_type(MAR_u4 + AR_LIKE_b, MaskedArray[np.uint32]) +assert_type(MAR_u4 + AR_LIKE_u, MaskedArray[np.unsignedinteger]) +assert_type(MAR_u4 + AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_u4 + AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_u4 + AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_u4 + AR_LIKE_td64, MaskedArray[np.timedelta64]) +assert_type(MAR_u4 + AR_LIKE_o, Any) + +assert_type(AR_LIKE_b + MAR_u4, MaskedArray[np.uint32]) +assert_type(AR_LIKE_u + MAR_u4, MaskedArray[np.unsignedinteger]) +assert_type(AR_LIKE_i + MAR_u4, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f + MAR_u4, MaskedArray[np.floating]) +assert_type(AR_LIKE_c + MAR_u4, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_td64 + MAR_u4, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_dt64 + MAR_u4, MaskedArray[np.datetime64]) +assert_type(AR_LIKE_o + MAR_u4, Any) + +assert_type(MAR_i8 + AR_LIKE_b, MaskedArray[np.int64]) +assert_type(MAR_i8 + AR_LIKE_u, MaskedArray[np.signedinteger]) +assert_type(MAR_i8 + AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_i8 + AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_i8 + AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_i8 + AR_LIKE_td64, MaskedArray[np.timedelta64]) +assert_type(MAR_i8 + AR_LIKE_o, Any) + +assert_type(AR_LIKE_b + MAR_i8, MaskedArray[np.int64]) +assert_type(AR_LIKE_u + MAR_i8, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_i + MAR_i8, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f + MAR_i8, MaskedArray[np.floating]) +assert_type(AR_LIKE_c + MAR_i8, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_td64 + MAR_i8, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_dt64 + MAR_i8, MaskedArray[np.datetime64]) +assert_type(AR_LIKE_o + MAR_i8, Any) + +assert_type(MAR_f8 + AR_LIKE_b, MaskedArray[np.float64]) +assert_type(MAR_f8 + AR_LIKE_u, MaskedArray[np.float64]) +assert_type(MAR_f8 + AR_LIKE_i, MaskedArray[np.float64]) +assert_type(MAR_f8 + AR_LIKE_f, MaskedArray[np.float64]) +assert_type(MAR_f8 + AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_f8 + AR_LIKE_o, Any) + +assert_type(AR_LIKE_b + MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_u + MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_i + MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_f + MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_c + MAR_f8, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_o + MAR_f8, Any) + +assert_type(MAR_c16 + AR_LIKE_b, MaskedArray[np.complex128]) +assert_type(MAR_c16 + AR_LIKE_u, MaskedArray[np.complex128]) +assert_type(MAR_c16 + AR_LIKE_i, MaskedArray[np.complex128]) +assert_type(MAR_c16 + AR_LIKE_f, MaskedArray[np.complex128]) +assert_type(MAR_c16 + AR_LIKE_c, MaskedArray[np.complex128]) +assert_type(MAR_c16 + AR_LIKE_o, Any) + +assert_type(AR_LIKE_b + MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_u + MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_i + MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_f + MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_c + MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_o + MAR_c16, Any) + +assert_type(MAR_td64 + AR_LIKE_b, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 + AR_LIKE_u, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 + AR_LIKE_i, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 + AR_LIKE_td64, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 + AR_LIKE_o, Any) + +assert_type(AR_LIKE_b + MAR_td64, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_u + MAR_td64, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_i + MAR_td64, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_td64 + MAR_td64, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_dt64 + MAR_td64, MaskedArray[np.datetime64]) +assert_type(AR_LIKE_o + MAR_td64, Any) + +assert_type(MAR_dt64 + AR_LIKE_b, MaskedArray[np.datetime64]) +assert_type(MAR_dt64 + AR_LIKE_u, MaskedArray[np.datetime64]) +assert_type(MAR_dt64 + AR_LIKE_i, MaskedArray[np.datetime64]) +assert_type(MAR_dt64 + AR_LIKE_td64, MaskedArray[np.datetime64]) +assert_type(MAR_dt64 + AR_LIKE_o, Any) + +assert_type(AR_LIKE_o + MAR_dt64, Any) + +assert_type(MAR_o + AR_LIKE_b, Any) +assert_type(MAR_o + AR_LIKE_u, Any) +assert_type(MAR_o + AR_LIKE_i, Any) +assert_type(MAR_o + AR_LIKE_f, Any) +assert_type(MAR_o + AR_LIKE_c, Any) +assert_type(MAR_o + AR_LIKE_td64, Any) +assert_type(MAR_o + AR_LIKE_dt64, Any) +assert_type(MAR_o + AR_LIKE_o, Any) + +assert_type(AR_LIKE_b + MAR_o, Any) +assert_type(AR_LIKE_u + MAR_o, Any) +assert_type(AR_LIKE_i + MAR_o, Any) +assert_type(AR_LIKE_f + MAR_o, Any) +assert_type(AR_LIKE_c + MAR_o, Any) +assert_type(AR_LIKE_td64 + MAR_o, Any) +assert_type(AR_LIKE_dt64 + MAR_o, Any) +assert_type(AR_LIKE_o + MAR_o, Any) + +# Masked Array subtraction +# Keep in sync with numpy/typing/tests/data/reveal/arithmetic.pyi + +assert_type(MAR_number - AR_number, MaskedArray[np.number]) + +assert_type(MAR_b - AR_LIKE_u, MaskedArray[np.uint32]) +assert_type(MAR_b - AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_b - AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_b - AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_b - AR_LIKE_td64, MaskedArray[np.timedelta64]) +assert_type(MAR_b - AR_LIKE_o, Any) + +assert_type(AR_LIKE_u - MAR_b, MaskedArray[np.uint32]) +assert_type(AR_LIKE_i - MAR_b, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f - MAR_b, MaskedArray[np.floating]) +assert_type(AR_LIKE_c - MAR_b, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_td64 - MAR_b, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_dt64 - MAR_b, MaskedArray[np.datetime64]) +assert_type(AR_LIKE_o - MAR_b, Any) + +assert_type(MAR_u4 - AR_LIKE_b, MaskedArray[np.uint32]) +assert_type(MAR_u4 - AR_LIKE_u, MaskedArray[np.unsignedinteger]) +assert_type(MAR_u4 - AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_u4 - AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_u4 - AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_u4 - AR_LIKE_td64, MaskedArray[np.timedelta64]) +assert_type(MAR_u4 - AR_LIKE_o, Any) + +assert_type(AR_LIKE_b - MAR_u4, MaskedArray[np.uint32]) +assert_type(AR_LIKE_u - MAR_u4, MaskedArray[np.unsignedinteger]) +assert_type(AR_LIKE_i - MAR_u4, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f - MAR_u4, MaskedArray[np.floating]) +assert_type(AR_LIKE_c - MAR_u4, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_td64 - MAR_u4, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_dt64 - MAR_u4, MaskedArray[np.datetime64]) +assert_type(AR_LIKE_o - MAR_u4, Any) + +assert_type(MAR_i8 - AR_LIKE_b, MaskedArray[np.int64]) +assert_type(MAR_i8 - AR_LIKE_u, MaskedArray[np.signedinteger]) +assert_type(MAR_i8 - AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_i8 - AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_i8 - AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_i8 - AR_LIKE_td64, MaskedArray[np.timedelta64]) +assert_type(MAR_i8 - AR_LIKE_o, Any) + +assert_type(AR_LIKE_b - MAR_i8, MaskedArray[np.int64]) +assert_type(AR_LIKE_u - MAR_i8, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_i - MAR_i8, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f - MAR_i8, MaskedArray[np.floating]) +assert_type(AR_LIKE_c - MAR_i8, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_td64 - MAR_i8, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_dt64 - MAR_i8, MaskedArray[np.datetime64]) +assert_type(AR_LIKE_o - MAR_i8, Any) + +assert_type(MAR_f8 - AR_LIKE_b, MaskedArray[np.float64]) +assert_type(MAR_f8 - AR_LIKE_u, MaskedArray[np.float64]) +assert_type(MAR_f8 - AR_LIKE_i, MaskedArray[np.float64]) +assert_type(MAR_f8 - AR_LIKE_f, MaskedArray[np.float64]) +assert_type(MAR_f8 - AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_f8 - AR_LIKE_o, Any) + +assert_type(AR_LIKE_b - MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_u - MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_i - MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_f - MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_c - MAR_f8, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_o - MAR_f8, Any) + +assert_type(MAR_c16 - AR_LIKE_b, MaskedArray[np.complex128]) +assert_type(MAR_c16 - AR_LIKE_u, MaskedArray[np.complex128]) +assert_type(MAR_c16 - AR_LIKE_i, MaskedArray[np.complex128]) +assert_type(MAR_c16 - AR_LIKE_f, MaskedArray[np.complex128]) +assert_type(MAR_c16 - AR_LIKE_c, MaskedArray[np.complex128]) +assert_type(MAR_c16 - AR_LIKE_o, Any) + +assert_type(AR_LIKE_b - MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_u - MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_i - MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_f - MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_c - MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_o - MAR_c16, Any) + +assert_type(MAR_td64 - AR_LIKE_b, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 - AR_LIKE_u, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 - AR_LIKE_i, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 - AR_LIKE_td64, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 - AR_LIKE_o, Any) + +assert_type(AR_LIKE_b - MAR_td64, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_u - MAR_td64, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_i - MAR_td64, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_td64 - MAR_td64, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_dt64 - MAR_td64, MaskedArray[np.datetime64]) +assert_type(AR_LIKE_o - MAR_td64, Any) + +assert_type(MAR_dt64 - AR_LIKE_b, MaskedArray[np.datetime64]) +assert_type(MAR_dt64 - AR_LIKE_u, MaskedArray[np.datetime64]) +assert_type(MAR_dt64 - AR_LIKE_i, MaskedArray[np.datetime64]) +assert_type(MAR_dt64 - AR_LIKE_td64, MaskedArray[np.datetime64]) +assert_type(MAR_dt64 - AR_LIKE_dt64, MaskedArray[np.timedelta64]) +assert_type(MAR_dt64 - AR_LIKE_o, Any) + +assert_type(AR_LIKE_dt64 - MAR_dt64, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_o - MAR_dt64, Any) + +assert_type(MAR_o - AR_LIKE_b, Any) +assert_type(MAR_o - AR_LIKE_u, Any) +assert_type(MAR_o - AR_LIKE_i, Any) +assert_type(MAR_o - AR_LIKE_f, Any) +assert_type(MAR_o - AR_LIKE_c, Any) +assert_type(MAR_o - AR_LIKE_td64, Any) +assert_type(MAR_o - AR_LIKE_dt64, Any) +assert_type(MAR_o - AR_LIKE_o, Any) + +assert_type(AR_LIKE_b - MAR_o, Any) +assert_type(AR_LIKE_u - MAR_o, Any) +assert_type(AR_LIKE_i - MAR_o, Any) +assert_type(AR_LIKE_f - MAR_o, Any) +assert_type(AR_LIKE_c - MAR_o, Any) +assert_type(AR_LIKE_td64 - MAR_o, Any) +assert_type(AR_LIKE_dt64 - MAR_o, Any) +assert_type(AR_LIKE_o - MAR_o, Any) + +# Masked Array multiplication + +assert_type(MAR_b * AR_LIKE_u, MaskedArray[np.uint32]) +assert_type(MAR_b * AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_b * AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_b * AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_b * AR_LIKE_td64, MaskedArray[np.timedelta64]) +assert_type(MAR_b * AR_LIKE_o, Any) + +# Ignore due to https://github.com/python/mypy/issues/19341 +assert_type(AR_LIKE_u * MAR_b, MaskedArray[np.uint32]) # type: ignore[assert-type] +assert_type(AR_LIKE_i * MAR_b, MaskedArray[np.signedinteger]) # type: ignore[assert-type] +assert_type(AR_LIKE_f * MAR_b, MaskedArray[np.floating]) # type: ignore[assert-type] +assert_type(AR_LIKE_c * MAR_b, MaskedArray[np.complexfloating]) # type: ignore[assert-type] +assert_type(AR_LIKE_td64 * MAR_b, MaskedArray[np.timedelta64]) # type: ignore[assert-type] +assert_type(AR_LIKE_o * MAR_b, Any) # type: ignore[assert-type] + +assert_type(MAR_u4 * AR_LIKE_b, MaskedArray[np.uint32]) +assert_type(MAR_u4 * AR_LIKE_u, MaskedArray[np.unsignedinteger]) +assert_type(MAR_u4 * AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_u4 * AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_u4 * AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_u4 * AR_LIKE_td64, MaskedArray[np.timedelta64]) +assert_type(MAR_u4 * AR_LIKE_o, Any) + +assert_type(MAR_i8 * AR_LIKE_b, MaskedArray[np.int64]) +assert_type(MAR_i8 * AR_LIKE_u, MaskedArray[np.signedinteger]) +assert_type(MAR_i8 * AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_i8 * AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_i8 * AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_i8 * AR_LIKE_td64, MaskedArray[np.timedelta64]) +assert_type(MAR_i8 * AR_LIKE_o, Any) + +assert_type(MAR_f8 * AR_LIKE_b, MaskedArray[np.float64]) +assert_type(MAR_f8 * AR_LIKE_u, MaskedArray[np.float64]) +assert_type(MAR_f8 * AR_LIKE_i, MaskedArray[np.float64]) +assert_type(MAR_f8 * AR_LIKE_f, MaskedArray[np.float64]) +assert_type(MAR_f8 * AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_f8 * AR_LIKE_o, Any) + +# Ignore due to https://github.com/python/mypy/issues/19341 +assert_type(AR_LIKE_b * MAR_f8, MaskedArray[np.float64]) # type: ignore[assert-type] +assert_type(AR_LIKE_u * MAR_f8, MaskedArray[np.float64]) # type: ignore[assert-type] +assert_type(AR_LIKE_i * MAR_f8, MaskedArray[np.float64]) # type: ignore[assert-type] +assert_type(AR_LIKE_f * MAR_f8, MaskedArray[np.float64]) # type: ignore[assert-type] +assert_type(AR_LIKE_c * MAR_f8, MaskedArray[np.complexfloating]) # type: ignore[assert-type] +assert_type(AR_LIKE_o * MAR_f8, Any) # type: ignore[assert-type] + +assert_type(MAR_c16 * AR_LIKE_b, MaskedArray[np.complex128]) +assert_type(MAR_c16 * AR_LIKE_u, MaskedArray[np.complex128]) +assert_type(MAR_c16 * AR_LIKE_i, MaskedArray[np.complex128]) +assert_type(MAR_c16 * AR_LIKE_f, MaskedArray[np.complex128]) +assert_type(MAR_c16 * AR_LIKE_c, MaskedArray[np.complex128]) +assert_type(MAR_c16 * AR_LIKE_o, Any) + +# Ignore due to https://github.com/python/mypy/issues/19341 +assert_type(AR_LIKE_b * MAR_c16, MaskedArray[np.complex128]) # type: ignore[assert-type] +assert_type(AR_LIKE_u * MAR_c16, MaskedArray[np.complex128]) # type: ignore[assert-type] +assert_type(AR_LIKE_i * MAR_c16, MaskedArray[np.complex128]) # type: ignore[assert-type] +assert_type(AR_LIKE_f * MAR_c16, MaskedArray[np.complex128]) # type: ignore[assert-type] +assert_type(AR_LIKE_c * MAR_c16, MaskedArray[np.complex128]) # type: ignore[assert-type] +assert_type(AR_LIKE_o * MAR_c16, Any) # type: ignore[assert-type] + +assert_type(MAR_td64 * AR_LIKE_b, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 * AR_LIKE_u, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 * AR_LIKE_i, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 * AR_LIKE_o, Any) + +# Ignore due to https://github.com/python/mypy/issues/19341 +assert_type(AR_LIKE_b * MAR_td64, MaskedArray[np.timedelta64]) # type: ignore[assert-type] +assert_type(AR_LIKE_u * MAR_td64, MaskedArray[np.timedelta64]) # type: ignore[assert-type] +assert_type(AR_LIKE_i * MAR_td64, MaskedArray[np.timedelta64]) # type: ignore[assert-type] +assert_type(AR_LIKE_td64 * MAR_td64, MaskedArray[np.timedelta64]) # type: ignore[assert-type] +assert_type(AR_LIKE_dt64 * MAR_td64, MaskedArray[np.datetime64]) # type: ignore[assert-type] +assert_type(AR_LIKE_o * MAR_td64, Any) # type: ignore[assert-type] + +assert_type(AR_LIKE_o * MAR_dt64, Any) # type: ignore[assert-type] + +assert_type(MAR_o * AR_LIKE_b, Any) +assert_type(MAR_o * AR_LIKE_u, Any) +assert_type(MAR_o * AR_LIKE_i, Any) +assert_type(MAR_o * AR_LIKE_f, Any) +assert_type(MAR_o * AR_LIKE_c, Any) +assert_type(MAR_o * AR_LIKE_td64, Any) +assert_type(MAR_o * AR_LIKE_dt64, Any) +assert_type(MAR_o * AR_LIKE_o, Any) + +# Ignore due to https://github.com/python/mypy/issues/19341 +assert_type(AR_LIKE_b * MAR_o, Any) # type: ignore[assert-type] +assert_type(AR_LIKE_u * MAR_o, Any) # type: ignore[assert-type] +assert_type(AR_LIKE_i * MAR_o, Any) # type: ignore[assert-type] +assert_type(AR_LIKE_f * MAR_o, Any) # type: ignore[assert-type] +assert_type(AR_LIKE_c * MAR_o, Any) # type: ignore[assert-type] +assert_type(AR_LIKE_td64 * MAR_o, Any) # type: ignore[assert-type] +assert_type(AR_LIKE_dt64 * MAR_o, Any) # type: ignore[assert-type] +assert_type(AR_LIKE_o * MAR_o, Any) # type: ignore[assert-type] + +assert_type(MAR_f8.sum(), Any) +assert_type(MAR_f8.sum(axis=0), Any) +assert_type(MAR_f8.sum(keepdims=True), Any) +assert_type(MAR_f8.sum(out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_f8.std(), Any) +assert_type(MAR_f8.std(axis=0), Any) +assert_type(MAR_f8.std(keepdims=True, mean=0.), Any) +assert_type(MAR_f8.std(out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_f8.var(), Any) +assert_type(MAR_f8.var(axis=0), Any) +assert_type(MAR_f8.var(keepdims=True, mean=0.), Any) +assert_type(MAR_f8.var(out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_f8.mean(), Any) +assert_type(MAR_f8.mean(axis=0), Any) +assert_type(MAR_f8.mean(keepdims=True), Any) +assert_type(MAR_f8.mean(out=MAR_subclass), MaskedArraySubclassC) + +assert_type(MAR_f8.prod(), Any) +assert_type(MAR_f8.prod(axis=0), Any) +assert_type(MAR_f8.prod(keepdims=True), Any) +assert_type(MAR_f8.prod(out=MAR_subclass), MaskedArraySubclassC) + +# MaskedArray "true" division + +assert_type(MAR_f8 / b, MaskedArray[np.float64]) +assert_type(MAR_f8 / i, MaskedArray[np.float64]) +assert_type(MAR_f8 / f, MaskedArray[np.float64]) + +assert_type(b / MAR_f8, MaskedArray[np.float64]) +assert_type(i / MAR_f8, MaskedArray[np.float64]) +assert_type(f / MAR_f8, MaskedArray[np.float64]) + +assert_type(MAR_b / AR_LIKE_b, MaskedArray[np.float64]) +assert_type(MAR_b / AR_LIKE_u, MaskedArray[np.float64]) +assert_type(MAR_b / AR_LIKE_i, MaskedArray[np.float64]) +assert_type(MAR_b / AR_LIKE_f, MaskedArray[np.float64]) +assert_type(MAR_b / AR_LIKE_o, Any) + +assert_type(AR_LIKE_b / MAR_b, MaskedArray[np.float64]) +assert_type(AR_LIKE_u / MAR_b, MaskedArray[np.float64]) +assert_type(AR_LIKE_i / MAR_b, MaskedArray[np.float64]) +assert_type(AR_LIKE_f / MAR_b, MaskedArray[np.float64]) +assert_type(AR_LIKE_o / MAR_b, Any) + +assert_type(MAR_u4 / AR_LIKE_b, MaskedArray[np.float64]) +assert_type(MAR_u4 / AR_LIKE_u, MaskedArray[np.float64]) +assert_type(MAR_u4 / AR_LIKE_i, MaskedArray[np.float64]) +assert_type(MAR_u4 / AR_LIKE_f, MaskedArray[np.float64]) +assert_type(MAR_u4 / AR_LIKE_o, Any) + +assert_type(AR_LIKE_b / MAR_u4, MaskedArray[np.float64]) +assert_type(AR_LIKE_u / MAR_u4, MaskedArray[np.float64]) +assert_type(AR_LIKE_i / MAR_u4, MaskedArray[np.float64]) +assert_type(AR_LIKE_f / MAR_u4, MaskedArray[np.float64]) +assert_type(AR_LIKE_td64 / MAR_u4, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_o / MAR_u4, Any) + +assert_type(MAR_i8 / AR_LIKE_b, MaskedArray[np.float64]) +assert_type(MAR_i8 / AR_LIKE_u, MaskedArray[np.float64]) +assert_type(MAR_i8 / AR_LIKE_i, MaskedArray[np.float64]) +assert_type(MAR_i8 / AR_LIKE_f, MaskedArray[np.float64]) +assert_type(MAR_i8 / AR_LIKE_o, Any) + +assert_type(AR_LIKE_b / MAR_i8, MaskedArray[np.float64]) +assert_type(AR_LIKE_u / MAR_i8, MaskedArray[np.float64]) +assert_type(AR_LIKE_i / MAR_i8, MaskedArray[np.float64]) +assert_type(AR_LIKE_f / MAR_i8, MaskedArray[np.float64]) +assert_type(AR_LIKE_td64 / MAR_i8, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_o / MAR_i8, Any) + +assert_type(MAR_f8 / AR_LIKE_b, MaskedArray[np.float64]) +assert_type(MAR_f8 / AR_LIKE_u, MaskedArray[np.float64]) +assert_type(MAR_f8 / AR_LIKE_i, MaskedArray[np.float64]) +assert_type(MAR_f8 / AR_LIKE_f, MaskedArray[np.float64]) +assert_type(MAR_f8 / AR_LIKE_o, Any) + +assert_type(AR_LIKE_b / MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_u / MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_i / MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_f / MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_td64 / MAR_f8, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_o / MAR_f8, Any) + +assert_type(MAR_td64 / AR_LIKE_u, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 / AR_LIKE_i, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 / AR_LIKE_f, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 / AR_LIKE_td64, MaskedArray[np.float64]) +assert_type(MAR_td64 / AR_LIKE_o, Any) + +assert_type(AR_LIKE_td64 / MAR_td64, MaskedArray[np.float64]) +assert_type(AR_LIKE_o / MAR_td64, Any) + +assert_type(MAR_o / AR_LIKE_b, Any) +assert_type(MAR_o / AR_LIKE_u, Any) +assert_type(MAR_o / AR_LIKE_i, Any) +assert_type(MAR_o / AR_LIKE_f, Any) +assert_type(MAR_o / AR_LIKE_td64, Any) +assert_type(MAR_o / AR_LIKE_dt64, Any) +assert_type(MAR_o / AR_LIKE_o, Any) + +assert_type(AR_LIKE_b / MAR_o, Any) +assert_type(AR_LIKE_u / MAR_o, Any) +assert_type(AR_LIKE_i / MAR_o, Any) +assert_type(AR_LIKE_f / MAR_o, Any) +assert_type(AR_LIKE_td64 / MAR_o, Any) +assert_type(AR_LIKE_dt64 / MAR_o, Any) +assert_type(AR_LIKE_o / MAR_o, Any) + +# MaskedArray floor division + +assert_type(MAR_b // AR_LIKE_b, MaskedArray[np.int8]) +assert_type(MAR_b // AR_LIKE_u, MaskedArray[np.uint32]) +assert_type(MAR_b // AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_b // AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_b // AR_LIKE_o, Any) + +assert_type(AR_LIKE_b // MAR_b, MaskedArray[np.int8]) +assert_type(AR_LIKE_u // MAR_b, MaskedArray[np.uint32]) +assert_type(AR_LIKE_i // MAR_b, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f // MAR_b, MaskedArray[np.floating]) +assert_type(AR_LIKE_o // MAR_b, Any) + +assert_type(MAR_u4 // AR_LIKE_b, MaskedArray[np.uint32]) +assert_type(MAR_u4 // AR_LIKE_u, MaskedArray[np.unsignedinteger]) +assert_type(MAR_u4 // AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_u4 // AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_u4 // AR_LIKE_o, Any) + +assert_type(AR_LIKE_b // MAR_u4, MaskedArray[np.uint32]) +assert_type(AR_LIKE_u // MAR_u4, MaskedArray[np.unsignedinteger]) +assert_type(AR_LIKE_i // MAR_u4, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f // MAR_u4, MaskedArray[np.floating]) +assert_type(AR_LIKE_td64 // MAR_u4, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_o // MAR_u4, Any) + +assert_type(MAR_i8 // AR_LIKE_b, MaskedArray[np.int64]) +assert_type(MAR_i8 // AR_LIKE_u, MaskedArray[np.signedinteger]) +assert_type(MAR_i8 // AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_i8 // AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_i8 // AR_LIKE_o, Any) + +assert_type(AR_LIKE_b // MAR_i8, MaskedArray[np.int64]) +assert_type(AR_LIKE_u // MAR_i8, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_i // MAR_i8, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f // MAR_i8, MaskedArray[np.floating]) +assert_type(AR_LIKE_td64 // MAR_i8, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_o // MAR_i8, Any) + +assert_type(MAR_f8 // AR_LIKE_b, MaskedArray[np.float64]) +assert_type(MAR_f8 // AR_LIKE_u, MaskedArray[np.float64]) +assert_type(MAR_f8 // AR_LIKE_i, MaskedArray[np.float64]) +assert_type(MAR_f8 // AR_LIKE_f, MaskedArray[np.float64]) +assert_type(MAR_f8 // AR_LIKE_o, Any) + +assert_type(AR_LIKE_b // MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_u // MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_i // MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_f // MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_td64 // MAR_f8, MaskedArray[np.timedelta64]) +assert_type(AR_LIKE_o // MAR_f8, Any) + +assert_type(MAR_td64 // AR_LIKE_u, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 // AR_LIKE_i, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 // AR_LIKE_f, MaskedArray[np.timedelta64]) +assert_type(MAR_td64 // AR_LIKE_td64, MaskedArray[np.int64]) +assert_type(MAR_td64 // AR_LIKE_o, Any) + +assert_type(AR_LIKE_td64 // MAR_td64, MaskedArray[np.int64]) +assert_type(AR_LIKE_o // MAR_td64, Any) + +assert_type(MAR_o // AR_LIKE_b, Any) +assert_type(MAR_o // AR_LIKE_u, Any) +assert_type(MAR_o // AR_LIKE_i, Any) +assert_type(MAR_o // AR_LIKE_f, Any) +assert_type(MAR_o // AR_LIKE_td64, Any) +assert_type(MAR_o // AR_LIKE_dt64, Any) +assert_type(MAR_o // AR_LIKE_o, Any) + +assert_type(AR_LIKE_b // MAR_o, Any) +assert_type(AR_LIKE_u // MAR_o, Any) +assert_type(AR_LIKE_i // MAR_o, Any) +assert_type(AR_LIKE_f // MAR_o, Any) +assert_type(AR_LIKE_td64 // MAR_o, Any) +assert_type(AR_LIKE_dt64 // MAR_o, Any) +assert_type(AR_LIKE_o // MAR_o, Any) + +# Masked Array power + +assert_type(MAR_b ** AR_LIKE_u, MaskedArray[np.uint32]) +assert_type(MAR_b ** AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_b ** AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_b ** AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_b ** AR_LIKE_o, Any) + +assert_type(AR_LIKE_u ** MAR_b, MaskedArray[np.uint32]) +assert_type(AR_LIKE_i ** MAR_b, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f ** MAR_b, MaskedArray[np.floating]) +assert_type(AR_LIKE_c ** MAR_b, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_o ** MAR_b, Any) + +assert_type(MAR_u4 ** AR_LIKE_b, MaskedArray[np.uint32]) +assert_type(MAR_u4 ** AR_LIKE_u, MaskedArray[np.unsignedinteger]) +assert_type(MAR_u4 ** AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_u4 ** AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_u4 ** AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_u4 ** AR_LIKE_o, Any) + +assert_type(AR_LIKE_b ** MAR_u4, MaskedArray[np.uint32]) +assert_type(AR_LIKE_u ** MAR_u4, MaskedArray[np.unsignedinteger]) +assert_type(AR_LIKE_i ** MAR_u4, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f ** MAR_u4, MaskedArray[np.floating]) +assert_type(AR_LIKE_c ** MAR_u4, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_o ** MAR_u4, Any) + +assert_type(MAR_i8 ** AR_LIKE_b, MaskedArray[np.int64]) +assert_type(MAR_i8 ** AR_LIKE_u, MaskedArray[np.signedinteger]) +assert_type(MAR_i8 ** AR_LIKE_i, MaskedArray[np.signedinteger]) +assert_type(MAR_i8 ** AR_LIKE_f, MaskedArray[np.floating]) +assert_type(MAR_i8 ** AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_i8 ** AR_LIKE_o, Any) +assert_type(MAR_i8 ** AR_LIKE_b, MaskedArray[np.int64]) + +assert_type(AR_LIKE_u ** MAR_i8, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_i ** MAR_i8, MaskedArray[np.signedinteger]) +assert_type(AR_LIKE_f ** MAR_i8, MaskedArray[np.floating]) +assert_type(AR_LIKE_c ** MAR_i8, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_o ** MAR_i8, Any) + +assert_type(MAR_f8 ** AR_LIKE_b, MaskedArray[np.float64]) +assert_type(MAR_f8 ** AR_LIKE_u, MaskedArray[np.float64]) +assert_type(MAR_f8 ** AR_LIKE_i, MaskedArray[np.float64]) +assert_type(MAR_f8 ** AR_LIKE_f, MaskedArray[np.float64]) +assert_type(MAR_f8 ** AR_LIKE_c, MaskedArray[np.complexfloating]) +assert_type(MAR_f8 ** AR_LIKE_o, Any) + +assert_type(AR_LIKE_b ** MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_u ** MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_i ** MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_f ** MAR_f8, MaskedArray[np.float64]) +assert_type(AR_LIKE_c ** MAR_f8, MaskedArray[np.complexfloating]) +assert_type(AR_LIKE_o ** MAR_f8, Any) + +assert_type(MAR_c16 ** AR_LIKE_b, MaskedArray[np.complex128]) +assert_type(MAR_c16 ** AR_LIKE_u, MaskedArray[np.complex128]) +assert_type(MAR_c16 ** AR_LIKE_i, MaskedArray[np.complex128]) +assert_type(MAR_c16 ** AR_LIKE_f, MaskedArray[np.complex128]) +assert_type(MAR_c16 ** AR_LIKE_c, MaskedArray[np.complex128]) +assert_type(MAR_c16 ** AR_LIKE_o, Any) + +assert_type(AR_LIKE_b ** MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_u ** MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_i ** MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_f ** MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_c ** MAR_c16, MaskedArray[np.complex128]) +assert_type(AR_LIKE_o ** MAR_c16, Any) + +assert_type(MAR_o ** AR_LIKE_b, Any) +assert_type(MAR_o ** AR_LIKE_u, Any) +assert_type(MAR_o ** AR_LIKE_i, Any) +assert_type(MAR_o ** AR_LIKE_f, Any) +assert_type(MAR_o ** AR_LIKE_c, Any) +assert_type(MAR_o ** AR_LIKE_o, Any) + +assert_type(AR_LIKE_b ** MAR_o, Any) +assert_type(AR_LIKE_u ** MAR_o, Any) +assert_type(AR_LIKE_i ** MAR_o, Any) +assert_type(AR_LIKE_f ** MAR_o, Any) +assert_type(AR_LIKE_c ** MAR_o, Any) +assert_type(AR_LIKE_o ** MAR_o, Any) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/matrix.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/matrix.pyi new file mode 100644 index 0000000000000000000000000000000000000000..3a32b3d394f0da125da06a96327c23f60f5dc504 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/matrix.pyi @@ -0,0 +1,73 @@ +from typing import Any, TypeAlias, assert_type + +import numpy as np +import numpy.typing as npt + +_Shape2D: TypeAlias = tuple[int, int] + +mat: np.matrix[_Shape2D, np.dtype[np.int64]] +ar_f8: npt.NDArray[np.float64] +ar_ip: npt.NDArray[np.intp] + +assert_type(mat * 5, np.matrix) +assert_type(5 * mat, np.matrix) +mat *= 5 + +assert_type(mat**5, np.matrix) +mat **= 5 + +assert_type(mat.sum(), Any) +assert_type(mat.mean(), Any) +assert_type(mat.std(), Any) +assert_type(mat.var(), Any) +assert_type(mat.prod(), Any) +assert_type(mat.any(), np.bool) +assert_type(mat.all(), np.bool) +assert_type(mat.max(), np.int64) +assert_type(mat.min(), np.int64) +assert_type(mat.argmax(), np.intp) +assert_type(mat.argmin(), np.intp) +assert_type(mat.ptp(), np.int64) + +assert_type(mat.sum(axis=0), np.matrix) +assert_type(mat.mean(axis=0), np.matrix) +assert_type(mat.std(axis=0), np.matrix) +assert_type(mat.var(axis=0), np.matrix) +assert_type(mat.prod(axis=0), np.matrix) +assert_type(mat.any(axis=0), np.matrix[_Shape2D, np.dtype[np.bool]]) +assert_type(mat.all(axis=0), np.matrix[_Shape2D, np.dtype[np.bool]]) +assert_type(mat.max(axis=0), np.matrix[_Shape2D, np.dtype[np.int64]]) +assert_type(mat.min(axis=0), np.matrix[_Shape2D, np.dtype[np.int64]]) +assert_type(mat.argmax(axis=0), np.matrix[_Shape2D, np.dtype[np.intp]]) +assert_type(mat.argmin(axis=0), np.matrix[_Shape2D, np.dtype[np.intp]]) +assert_type(mat.ptp(axis=0), np.matrix[_Shape2D, np.dtype[np.int64]]) + +assert_type(mat.sum(out=ar_f8), npt.NDArray[np.float64]) +assert_type(mat.mean(out=ar_f8), npt.NDArray[np.float64]) +assert_type(mat.std(out=ar_f8), npt.NDArray[np.float64]) +assert_type(mat.var(out=ar_f8), npt.NDArray[np.float64]) +assert_type(mat.prod(out=ar_f8), npt.NDArray[np.float64]) +assert_type(mat.any(out=ar_f8), npt.NDArray[np.float64]) +assert_type(mat.all(out=ar_f8), npt.NDArray[np.float64]) +assert_type(mat.max(out=ar_f8), npt.NDArray[np.float64]) +assert_type(mat.min(out=ar_f8), npt.NDArray[np.float64]) +assert_type(mat.argmax(out=ar_ip), npt.NDArray[np.intp]) +assert_type(mat.argmin(out=ar_ip), npt.NDArray[np.intp]) +assert_type(mat.ptp(out=ar_f8), npt.NDArray[np.float64]) + +assert_type(mat.T, np.matrix[_Shape2D, np.dtype[np.int64]]) +assert_type(mat.I, np.matrix) +assert_type(mat.A, np.ndarray[_Shape2D, np.dtype[np.int64]]) +assert_type(mat.A1, npt.NDArray[np.int64]) +assert_type(mat.H, np.matrix[_Shape2D, np.dtype[np.int64]]) +assert_type(mat.getT(), np.matrix[_Shape2D, np.dtype[np.int64]]) +assert_type(mat.getI(), np.matrix) +assert_type(mat.getA(), np.ndarray[_Shape2D, np.dtype[np.int64]]) +assert_type(mat.getA1(), npt.NDArray[np.int64]) +assert_type(mat.getH(), np.matrix[_Shape2D, np.dtype[np.int64]]) + +assert_type(np.bmat(ar_f8), np.matrix) +assert_type(np.bmat([[0, 1, 2]]), np.matrix) +assert_type(np.bmat("mat"), np.matrix) + +assert_type(np.asmatrix(ar_f8, dtype=np.int64), np.matrix) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/memmap.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/memmap.pyi new file mode 100644 index 0000000000000000000000000000000000000000..f3e20ed2d5e7df74e3e2fa66d743430fece8cb62 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/memmap.pyi @@ -0,0 +1,19 @@ +from typing import Any, assert_type + +import numpy as np + +memmap_obj: np.memmap[Any, np.dtype[np.str_]] + +assert_type(np.memmap.__array_priority__, float) +assert_type(memmap_obj.__array_priority__, float) +assert_type(memmap_obj.filename, str | None) +assert_type(memmap_obj.offset, int) +assert_type(memmap_obj.mode, str) +assert_type(memmap_obj.flush(), None) + +assert_type(np.memmap("file.txt", offset=5), np.memmap[Any, np.dtype[np.uint8]]) +assert_type(np.memmap(b"file.txt", dtype=np.float64, shape=(10, 3)), np.memmap[Any, np.dtype[np.float64]]) +with open("file.txt", "rb") as f: + assert_type(np.memmap(f, dtype=float, order="K"), np.memmap[Any, np.dtype]) + +assert_type(memmap_obj.__array_finalize__(object()), None) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/mod.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/mod.pyi new file mode 100644 index 0000000000000000000000000000000000000000..ef07dc0c8c8aab9a6615f04a5903cf07be667548 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/mod.pyi @@ -0,0 +1,178 @@ +import datetime as dt +from typing import Literal as L, assert_type + +import numpy as np +import numpy.typing as npt + +f8: np.float64 +i8: np.int64 +u8: np.uint64 + +f4: np.float32 +i4: np.int32 +u4: np.uint32 + +m: np.timedelta64 +m_nat: np.timedelta64[None] +m_int0: np.timedelta64[L[0]] +m_int: np.timedelta64[int] +m_td: np.timedelta64[dt.timedelta] + +b_: np.bool + +b: bool +i: int +f: float + +AR_b: npt.NDArray[np.bool] +AR_m: npt.NDArray[np.timedelta64] + +# Time structures + +assert_type(m % m, np.timedelta64) +assert_type(m % m_nat, np.timedelta64[None]) +assert_type(m % m_int0, np.timedelta64[None]) +assert_type(m % m_int, np.timedelta64[int | None]) +assert_type(m_nat % m, np.timedelta64[None]) +assert_type(m_int % m_nat, np.timedelta64[None]) +assert_type(m_int % m_int0, np.timedelta64[None]) +assert_type(m_int % m_int, np.timedelta64[int | None]) +assert_type(m_int % m_td, np.timedelta64[int | None]) +assert_type(m_td % m_nat, np.timedelta64[None]) +assert_type(m_td % m_int0, np.timedelta64[None]) +assert_type(m_td % m_int, np.timedelta64[int | None]) +assert_type(m_td % m_td, np.timedelta64[dt.timedelta | None]) + +assert_type(AR_m % m, npt.NDArray[np.timedelta64]) +assert_type(m % AR_m, npt.NDArray[np.timedelta64]) + +assert_type(divmod(m, m), tuple[np.int64, np.timedelta64]) +assert_type(divmod(m, m_nat), tuple[np.int64, np.timedelta64[None]]) +assert_type(divmod(m, m_int0), tuple[np.int64, np.timedelta64[None]]) +# workarounds for https://github.com/microsoft/pyright/issues/9663 +assert_type(m.__divmod__(m_int), tuple[np.int64, np.timedelta64[int | None]]) +assert_type(divmod(m_nat, m), tuple[np.int64, np.timedelta64[None]]) +assert_type(divmod(m_int, m_nat), tuple[np.int64, np.timedelta64[None]]) +assert_type(divmod(m_int, m_int0), tuple[np.int64, np.timedelta64[None]]) +assert_type(divmod(m_int, m_int), tuple[np.int64, np.timedelta64[int | None]]) +assert_type(divmod(m_int, m_td), tuple[np.int64, np.timedelta64[int | None]]) +assert_type(divmod(m_td, m_nat), tuple[np.int64, np.timedelta64[None]]) +assert_type(divmod(m_td, m_int0), tuple[np.int64, np.timedelta64[None]]) +assert_type(divmod(m_td, m_int), tuple[np.int64, np.timedelta64[int | None]]) +assert_type(divmod(m_td, m_td), tuple[np.int64, np.timedelta64[dt.timedelta | None]]) + +assert_type(divmod(AR_m, m), tuple[npt.NDArray[np.int64], npt.NDArray[np.timedelta64]]) +assert_type(divmod(m, AR_m), tuple[npt.NDArray[np.int64], npt.NDArray[np.timedelta64]]) + +# Bool + +assert_type(b_ % b, np.int8) +assert_type(b_ % i, np.int_) +assert_type(b_ % f, np.float64) +assert_type(b_ % b_, np.int8) +assert_type(b_ % i8, np.int64) +assert_type(b_ % u8, np.uint64) +assert_type(b_ % f8, np.float64) +assert_type(b_ % AR_b, npt.NDArray[np.int8]) + +assert_type(divmod(b_, b), tuple[np.int8, np.int8]) +assert_type(divmod(b_, b_), tuple[np.int8, np.int8]) +# workarounds for https://github.com/microsoft/pyright/issues/9663 +assert_type(b_.__divmod__(i), tuple[np.int_, np.int_]) +assert_type(b_.__divmod__(f), tuple[np.float64, np.float64]) +assert_type(b_.__divmod__(i8), tuple[np.int64, np.int64]) +assert_type(b_.__divmod__(u8), tuple[np.uint64, np.uint64]) +assert_type(divmod(b_, f8), tuple[np.float64, np.float64]) +assert_type(divmod(b_, AR_b), tuple[npt.NDArray[np.int8], npt.NDArray[np.int8]]) + +assert_type(b % b_, np.int8) +assert_type(i % b_, np.int_) +assert_type(f % b_, np.float64) +assert_type(b_ % b_, np.int8) +assert_type(i8 % b_, np.int64) +assert_type(u8 % b_, np.uint64) +assert_type(f8 % b_, np.float64) +assert_type(AR_b % b_, npt.NDArray[np.int8]) + +assert_type(divmod(b, b_), tuple[np.int8, np.int8]) +assert_type(divmod(i, b_), tuple[np.int_, np.int_]) +assert_type(divmod(f, b_), tuple[np.float64, np.float64]) +assert_type(divmod(b_, b_), tuple[np.int8, np.int8]) +assert_type(divmod(i8, b_), tuple[np.int64, np.int64]) +assert_type(divmod(u8, b_), tuple[np.uint64, np.uint64]) +assert_type(divmod(f8, b_), tuple[np.float64, np.float64]) +assert_type(divmod(AR_b, b_), tuple[npt.NDArray[np.int8], npt.NDArray[np.int8]]) + +# int + +assert_type(i8 % b, np.int64) +assert_type(i8 % i8, np.int64) +assert_type(i8 % f, np.float64) +assert_type(i8 % f8, np.float64) +assert_type(i4 % i8, np.signedinteger) +assert_type(i4 % f8, np.float64) +assert_type(i4 % i4, np.int32) +assert_type(i4 % f4, np.floating) +assert_type(i8 % AR_b, npt.NDArray[np.int64]) + +assert_type(divmod(i8, b), tuple[np.int64, np.int64]) +assert_type(divmod(i8, i4), tuple[np.signedinteger, np.signedinteger]) +assert_type(divmod(i8, i8), tuple[np.int64, np.int64]) +# workarounds for https://github.com/microsoft/pyright/issues/9663 +assert_type(i8.__divmod__(f), tuple[np.float64, np.float64]) +assert_type(i8.__divmod__(f8), tuple[np.float64, np.float64]) +assert_type(divmod(i8, f4), tuple[np.floating, np.floating]) +assert_type(divmod(i4, i4), tuple[np.int32, np.int32]) +assert_type(divmod(i4, f4), tuple[np.floating, np.floating]) +assert_type(divmod(i8, AR_b), tuple[npt.NDArray[np.int64], npt.NDArray[np.int64]]) + +assert_type(b % i8, np.int64) +assert_type(f % i8, np.float64) +assert_type(i8 % i8, np.int64) +assert_type(f8 % i8, np.float64) +assert_type(i8 % i4, np.signedinteger) +assert_type(f8 % i4, np.float64) +assert_type(i4 % i4, np.int32) +assert_type(f4 % i4, np.floating) +assert_type(AR_b % i8, npt.NDArray[np.int64]) + +assert_type(divmod(b, i8), tuple[np.int64, np.int64]) +assert_type(divmod(f, i8), tuple[np.float64, np.float64]) +assert_type(divmod(i8, i8), tuple[np.int64, np.int64]) +assert_type(divmod(f8, i8), tuple[np.float64, np.float64]) +assert_type(divmod(i4, i8), tuple[np.signedinteger, np.signedinteger]) +assert_type(divmod(i4, i4), tuple[np.int32, np.int32]) +# workarounds for https://github.com/microsoft/pyright/issues/9663 +assert_type(f4.__divmod__(i8), tuple[np.floating, np.floating]) +assert_type(f4.__divmod__(i4), tuple[np.floating, np.floating]) +assert_type(AR_b.__divmod__(i8), tuple[npt.NDArray[np.int64], npt.NDArray[np.int64]]) + +# float + +assert_type(f8 % b, np.float64) +assert_type(f8 % f, np.float64) +assert_type(i8 % f4, np.floating) +assert_type(f4 % f4, np.float32) +assert_type(f8 % AR_b, npt.NDArray[np.float64]) + +assert_type(divmod(f8, b), tuple[np.float64, np.float64]) +assert_type(divmod(f8, f), tuple[np.float64, np.float64]) +assert_type(divmod(f8, f8), tuple[np.float64, np.float64]) +assert_type(divmod(f8, f4), tuple[np.float64, np.float64]) +assert_type(divmod(f4, f4), tuple[np.float32, np.float32]) +assert_type(divmod(f8, AR_b), tuple[npt.NDArray[np.float64], npt.NDArray[np.float64]]) + +assert_type(b % f8, np.float64) +assert_type(f % f8, np.float64) # pyright: ignore[reportAssertTypeFailure] # pyright incorrectly infers `builtins.float` +assert_type(f8 % f8, np.float64) +assert_type(f8 % f8, np.float64) +assert_type(f4 % f4, np.float32) +assert_type(AR_b % f8, npt.NDArray[np.float64]) + +assert_type(divmod(b, f8), tuple[np.float64, np.float64]) +assert_type(divmod(f8, f8), tuple[np.float64, np.float64]) +assert_type(divmod(f4, f4), tuple[np.float32, np.float32]) +# workarounds for https://github.com/microsoft/pyright/issues/9663 +assert_type(f8.__rdivmod__(f), tuple[np.float64, np.float64]) +assert_type(f8.__rdivmod__(f4), tuple[np.float64, np.float64]) +assert_type(AR_b.__divmod__(f8), tuple[npt.NDArray[np.float64], npt.NDArray[np.float64]]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/modules.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/modules.pyi new file mode 100644 index 0000000000000000000000000000000000000000..628fb500bfda11752336fa52fea5b81c259501ae --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/modules.pyi @@ -0,0 +1,51 @@ +import types +from typing import assert_type + +import numpy as np +from numpy import f2py + +assert_type(np, types.ModuleType) + +assert_type(np.char, types.ModuleType) +assert_type(np.ctypeslib, types.ModuleType) +assert_type(np.emath, types.ModuleType) +assert_type(np.fft, types.ModuleType) +assert_type(np.lib, types.ModuleType) +assert_type(np.linalg, types.ModuleType) +assert_type(np.ma, types.ModuleType) +assert_type(np.matrixlib, types.ModuleType) +assert_type(np.polynomial, types.ModuleType) +assert_type(np.random, types.ModuleType) +assert_type(np.rec, types.ModuleType) +assert_type(np.testing, types.ModuleType) +assert_type(np.version, types.ModuleType) +assert_type(np.exceptions, types.ModuleType) +assert_type(np.dtypes, types.ModuleType) + +assert_type(np.lib.format, types.ModuleType) +assert_type(np.lib.mixins, types.ModuleType) +assert_type(np.lib.scimath, types.ModuleType) +assert_type(np.lib.stride_tricks, types.ModuleType) +assert_type(np.ma.extras, types.ModuleType) +assert_type(np.polynomial.chebyshev, types.ModuleType) +assert_type(np.polynomial.hermite, types.ModuleType) +assert_type(np.polynomial.hermite_e, types.ModuleType) +assert_type(np.polynomial.laguerre, types.ModuleType) +assert_type(np.polynomial.legendre, types.ModuleType) +assert_type(np.polynomial.polynomial, types.ModuleType) + +assert_type(np.__path__, list[str]) +assert_type(np.__version__, str) +assert_type(np.test, np._pytesttester.PytestTester) +assert_type(np.test.module_name, str) + +assert_type(np.__all__, list[str]) +assert_type(np.char.__all__, list[str]) +assert_type(np.ctypeslib.__all__, list[str]) +assert_type(np.emath.__all__, list[str]) +assert_type(np.lib.__all__, list[str]) +assert_type(np.ma.__all__, list[str]) +assert_type(np.random.__all__, list[str]) +assert_type(np.rec.__all__, list[str]) +assert_type(np.testing.__all__, list[str]) +assert_type(f2py.__all__, list[str]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/multiarray.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/multiarray.pyi new file mode 100644 index 0000000000000000000000000000000000000000..424f60df27e7ce49d894415add02579f89dc69f9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/multiarray.pyi @@ -0,0 +1,197 @@ +import datetime as dt +from typing import Any, Literal, TypeVar, assert_type + +import numpy as np +import numpy.typing as npt + +_ScalarT_co = TypeVar("_ScalarT_co", bound=np.generic, covariant=True) + +class SubClass(npt.NDArray[_ScalarT_co]): ... + +subclass: SubClass[np.float64] + +AR_f8: npt.NDArray[np.float64] +AR_i8: npt.NDArray[np.int64] +AR_u1: npt.NDArray[np.uint8] +AR_m: npt.NDArray[np.timedelta64] +AR_M: npt.NDArray[np.datetime64] + +AR_LIKE_f: list[float] +AR_LIKE_i: list[int] + +m: np.timedelta64 +M: np.datetime64 + +b_f8 = np.broadcast(AR_f8) +b_i8_f8_f8 = np.broadcast(AR_i8, AR_f8, AR_f8) + +nditer_obj: np.nditer + +date_scalar: dt.date +date_seq: list[dt.date] +timedelta_seq: list[dt.timedelta] + +n1: Literal[1] +n2: Literal[2] +n3: Literal[3] + +f8: np.float64 + +def func11(a: int) -> bool: ... +def func21(a: int, b: int) -> int: ... +def func12(a: int) -> tuple[complex, bool]: ... + +assert_type(next(b_f8), tuple[Any, ...]) +assert_type(b_f8.reset(), None) +assert_type(b_f8.index, int) +assert_type(b_f8.iters, tuple[np.flatiter[Any], ...]) +assert_type(b_f8.nd, int) +assert_type(b_f8.ndim, int) +assert_type(b_f8.numiter, int) +assert_type(b_f8.shape, tuple[Any, ...]) +assert_type(b_f8.size, int) + +assert_type(next(b_i8_f8_f8), tuple[Any, ...]) +assert_type(b_i8_f8_f8.reset(), None) +assert_type(b_i8_f8_f8.index, int) +assert_type(b_i8_f8_f8.iters, tuple[np.flatiter[Any], ...]) +assert_type(b_i8_f8_f8.nd, int) +assert_type(b_i8_f8_f8.ndim, int) +assert_type(b_i8_f8_f8.numiter, int) +assert_type(b_i8_f8_f8.shape, tuple[Any, ...]) +assert_type(b_i8_f8_f8.size, int) + +assert_type(np.inner(AR_f8, AR_i8), Any) + +assert_type(np.where([True, True, False]), tuple[npt.NDArray[np.intp], ...]) +assert_type(np.where([True, True, False], 1, 0), npt.NDArray[Any]) + +assert_type(np.lexsort([0, 1, 2]), npt.NDArray[np.intp]) + +assert_type(np.can_cast(np.dtype("i8"), int), bool) +assert_type(np.can_cast(AR_f8, "f8"), bool) +assert_type(np.can_cast(AR_f8, np.complex128, casting="unsafe"), bool) + +assert_type(np.min_scalar_type([1]), np.dtype) +assert_type(np.min_scalar_type(AR_f8), np.dtype) + +assert_type(np.result_type(int, [1]), np.dtype) +assert_type(np.result_type(AR_f8, AR_u1), np.dtype) +assert_type(np.result_type(AR_f8, np.complex128), np.dtype) + +assert_type(np.dot(AR_LIKE_f, AR_i8), Any) +assert_type(np.dot(AR_u1, 1), Any) +assert_type(np.dot(1.5j, 1), Any) +assert_type(np.dot(AR_u1, 1, out=AR_f8), npt.NDArray[np.float64]) + +assert_type(np.vdot(AR_LIKE_f, AR_i8), np.floating) +assert_type(np.vdot(AR_u1, 1), np.signedinteger) +assert_type(np.vdot(1.5j, 1), np.complexfloating) + +assert_type(np.bincount(AR_i8), npt.NDArray[np.intp]) + +assert_type(np.copyto(AR_f8, [1., 1.5, 1.6]), None) + +assert_type(np.putmask(AR_f8, [True, True, False], 1.5), None) + +assert_type(np.packbits(AR_i8), np.ndarray[tuple[int], np.dtype[np.uint8]]) +assert_type(np.packbits(AR_u1), np.ndarray[tuple[int], np.dtype[np.uint8]]) +assert_type(np.packbits(AR_i8, axis=1), npt.NDArray[np.uint8]) +assert_type(np.packbits(AR_u1, axis=1), npt.NDArray[np.uint8]) + +assert_type(np.unpackbits(AR_u1), np.ndarray[tuple[int], np.dtype[np.uint8]]) +assert_type(np.unpackbits(AR_u1, axis=1), npt.NDArray[np.uint8]) + +assert_type(np.shares_memory(1, 2), bool) +assert_type(np.shares_memory(AR_f8, AR_f8, max_work=-1), bool) + +assert_type(np.may_share_memory(1, 2), bool) +assert_type(np.may_share_memory(AR_f8, AR_f8, max_work=0), bool) + +assert_type(np.promote_types(np.int32, np.int64), np.dtype) +assert_type(np.promote_types("f4", float), np.dtype) + +assert_type(np.frompyfunc(func11, n1, n1).nin, Literal[1]) +assert_type(np.frompyfunc(func11, n1, n1).nout, Literal[1]) +assert_type(np.frompyfunc(func11, n1, n1).nargs, Literal[2]) +assert_type(np.frompyfunc(func11, n1, n1).ntypes, Literal[1]) +assert_type(np.frompyfunc(func11, n1, n1).identity, None) +assert_type(np.frompyfunc(func11, n1, n1).signature, None) +assert_type(np.frompyfunc(func11, n1, n1)(f8), bool) +assert_type(np.frompyfunc(func11, n1, n1)(AR_f8), bool | npt.NDArray[np.object_]) +assert_type(np.frompyfunc(func11, n1, n1).at(AR_f8, AR_i8), None) + +assert_type(np.frompyfunc(func21, n2, n1).nin, Literal[2]) +assert_type(np.frompyfunc(func21, n2, n1).nout, Literal[1]) +assert_type(np.frompyfunc(func21, n2, n1).nargs, Literal[3]) +assert_type(np.frompyfunc(func21, n2, n1).ntypes, Literal[1]) +assert_type(np.frompyfunc(func21, n2, n1).identity, None) +assert_type(np.frompyfunc(func21, n2, n1).signature, None) +assert_type(np.frompyfunc(func21, n2, n1)(f8, f8), int) +assert_type(np.frompyfunc(func21, n2, n1)(AR_f8, f8), int | npt.NDArray[np.object_]) +assert_type(np.frompyfunc(func21, n2, n1)(f8, AR_f8), int | npt.NDArray[np.object_]) +assert_type(np.frompyfunc(func21, n2, n1).reduce(AR_f8, axis=0), int | npt.NDArray[np.object_]) +assert_type(np.frompyfunc(func21, n2, n1).accumulate(AR_f8), npt.NDArray[np.object_]) +assert_type(np.frompyfunc(func21, n2, n1).reduceat(AR_f8, AR_i8), npt.NDArray[np.object_]) +assert_type(np.frompyfunc(func21, n2, n1).outer(f8, f8), int) +assert_type(np.frompyfunc(func21, n2, n1).outer(AR_f8, f8), int | npt.NDArray[np.object_]) + +assert_type(np.frompyfunc(func21, n2, n1, identity=0).nin, Literal[2]) +assert_type(np.frompyfunc(func21, n2, n1, identity=0).nout, Literal[1]) +assert_type(np.frompyfunc(func21, n2, n1, identity=0).nargs, Literal[3]) +assert_type(np.frompyfunc(func21, n2, n1, identity=0).ntypes, Literal[1]) +assert_type(np.frompyfunc(func21, n2, n1, identity=0).identity, int) +assert_type(np.frompyfunc(func21, n2, n1, identity=0).signature, None) + +assert_type(np.frompyfunc(func12, n1, n2).nin, Literal[1]) +assert_type(np.frompyfunc(func12, n1, n2).nout, Literal[2]) +assert_type(np.frompyfunc(func12, n1, n2).nargs, int) +assert_type(np.frompyfunc(func12, n1, n2).ntypes, Literal[1]) +assert_type(np.frompyfunc(func12, n1, n2).identity, None) +assert_type(np.frompyfunc(func12, n1, n2).signature, None) +assert_type( + np.frompyfunc(func12, n2, n2)(f8, f8), + tuple[complex, complex, *tuple[complex, ...]], +) +assert_type( + np.frompyfunc(func12, n2, n2)(AR_f8, f8), + tuple[ + complex | npt.NDArray[np.object_], + complex | npt.NDArray[np.object_], + *tuple[complex | npt.NDArray[np.object_], ...], + ], +) + +assert_type(np.datetime_data("m8[D]"), tuple[str, int]) +assert_type(np.datetime_data(np.datetime64), tuple[str, int]) +assert_type(np.datetime_data(np.dtype(np.timedelta64)), tuple[str, int]) + +assert_type(np.busday_count("2011-01", "2011-02"), np.int_) +assert_type(np.busday_count(["2011-01"], "2011-02"), npt.NDArray[np.int_]) +assert_type(np.busday_count(["2011-01"], date_scalar), npt.NDArray[np.int_]) + +assert_type(np.busday_offset(M, m), np.datetime64) +assert_type(np.busday_offset(date_scalar, m), np.datetime64) +assert_type(np.busday_offset(M, 5), np.datetime64) +assert_type(np.busday_offset(AR_M, m), npt.NDArray[np.datetime64]) +assert_type(np.busday_offset(M, timedelta_seq), npt.NDArray[np.datetime64]) +assert_type(np.busday_offset("2011-01", "2011-02", roll="forward"), np.datetime64) +assert_type(np.busday_offset(["2011-01"], "2011-02", roll="forward"), npt.NDArray[np.datetime64]) + +assert_type(np.is_busday("2012"), np.bool) +assert_type(np.is_busday(date_scalar), np.bool) +assert_type(np.is_busday(["2012"]), npt.NDArray[np.bool]) + +assert_type(np.datetime_as_string(M), np.str_) +assert_type(np.datetime_as_string(AR_M), npt.NDArray[np.str_]) + +assert_type(np.busdaycalendar(holidays=date_seq), np.busdaycalendar) +assert_type(np.busdaycalendar(holidays=[M]), np.busdaycalendar) + +assert_type(np.char.compare_chararrays("a", "b", "!=", rstrip=False), npt.NDArray[np.bool]) +assert_type(np.char.compare_chararrays(b"a", b"a", "==", True), npt.NDArray[np.bool]) + +assert_type(np.nested_iters([AR_i8, AR_i8], [[0], [1]], flags=["c_index"]), tuple[np.nditer, ...]) +assert_type(np.nested_iters([AR_i8, AR_i8], [[0], [1]], op_flags=[["readonly", "readonly"]]), tuple[np.nditer, ...]) +assert_type(np.nested_iters([AR_i8, AR_i8], [[0], [1]], op_dtypes=np.int_), tuple[np.nditer, ...]) +assert_type(np.nested_iters([AR_i8, AR_i8], [[0], [1]], order="C", casting="no"), tuple[np.nditer, ...]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/nbit_base_example.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/nbit_base_example.pyi new file mode 100644 index 0000000000000000000000000000000000000000..66470b95bf156dcc36af597d01adab6fcc26a45b --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/nbit_base_example.pyi @@ -0,0 +1,20 @@ +from typing import TypeVar, assert_type + +import numpy as np +import numpy.typing as npt +from numpy._typing import _32Bit, _64Bit + +T1 = TypeVar("T1", bound=npt.NBitBase) # type: ignore[deprecated] # pyright: ignore[reportDeprecated] +T2 = TypeVar("T2", bound=npt.NBitBase) # type: ignore[deprecated] # pyright: ignore[reportDeprecated] + +def add(a: np.floating[T1], b: np.integer[T2]) -> np.floating[T1 | T2]: ... + +i8: np.int64 +i4: np.int32 +f8: np.float64 +f4: np.float32 + +assert_type(add(f8, i8), np.floating[_64Bit]) +assert_type(add(f4, i8), np.floating[_32Bit | _64Bit]) +assert_type(add(f8, i4), np.floating[_32Bit | _64Bit]) +assert_type(add(f4, i4), np.floating[_32Bit]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_assignability.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_assignability.pyi new file mode 100644 index 0000000000000000000000000000000000000000..feaccf28f57830e2f258bc82a9ccd53c04d5db57 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_assignability.pyi @@ -0,0 +1,82 @@ +from typing import Any, Protocol, TypeAlias, TypeVar, assert_type + +import numpy as np +from numpy._typing import _64Bit + +_T = TypeVar("_T") +_T_co = TypeVar("_T_co", covariant=True) + +class CanAbs(Protocol[_T_co]): + def __abs__(self, /) -> _T_co: ... + +class CanInvert(Protocol[_T_co]): + def __invert__(self, /) -> _T_co: ... + +class CanNeg(Protocol[_T_co]): + def __neg__(self, /) -> _T_co: ... + +class CanPos(Protocol[_T_co]): + def __pos__(self, /) -> _T_co: ... + +def do_abs(x: CanAbs[_T]) -> _T: ... +def do_invert(x: CanInvert[_T]) -> _T: ... +def do_neg(x: CanNeg[_T]) -> _T: ... +def do_pos(x: CanPos[_T]) -> _T: ... + +_Bool_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[np.bool]] +_UInt8_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[np.uint8]] +_Int16_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[np.int16]] +_LongLong_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[np.longlong]] +_Float32_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[np.float32]] +_Float64_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[np.float64]] +_LongDouble_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[np.longdouble]] +_Complex64_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[np.complex64]] +_Complex128_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[np.complex128]] +_CLongDouble_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[np.clongdouble]] +_Void_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[np.void]] + +b1_1d: _Bool_1d +u1_1d: _UInt8_1d +i2_1d: _Int16_1d +q_1d: _LongLong_1d +f4_1d: _Float32_1d +f8_1d: _Float64_1d +g_1d: _LongDouble_1d +c8_1d: _Complex64_1d +c16_1d: _Complex128_1d +G_1d: _CLongDouble_1d +V_1d: _Void_1d + +assert_type(do_abs(b1_1d), _Bool_1d) +assert_type(do_abs(u1_1d), _UInt8_1d) +assert_type(do_abs(i2_1d), _Int16_1d) +assert_type(do_abs(q_1d), _LongLong_1d) +assert_type(do_abs(f4_1d), _Float32_1d) +assert_type(do_abs(f8_1d), _Float64_1d) +assert_type(do_abs(g_1d), _LongDouble_1d) + +assert_type(do_abs(c8_1d), _Float32_1d) +# NOTE: Unfortunately it's not possible to have this return a `float64` sctype, see +# https://github.com/python/mypy/issues/14070 +assert_type(do_abs(c16_1d), np.ndarray[tuple[int], np.dtype[np.floating[_64Bit]]]) +assert_type(do_abs(G_1d), _LongDouble_1d) + +assert_type(do_invert(b1_1d), _Bool_1d) +assert_type(do_invert(u1_1d), _UInt8_1d) +assert_type(do_invert(i2_1d), _Int16_1d) +assert_type(do_invert(q_1d), _LongLong_1d) + +assert_type(do_neg(u1_1d), _UInt8_1d) +assert_type(do_neg(i2_1d), _Int16_1d) +assert_type(do_neg(q_1d), _LongLong_1d) +assert_type(do_neg(f4_1d), _Float32_1d) +assert_type(do_neg(c16_1d), _Complex128_1d) + +assert_type(do_pos(u1_1d), _UInt8_1d) +assert_type(do_pos(i2_1d), _Int16_1d) +assert_type(do_pos(q_1d), _LongLong_1d) +assert_type(do_pos(f4_1d), _Float32_1d) +assert_type(do_pos(c16_1d), _Complex128_1d) + +# this shape is effectively equivalent to `tuple[int, *tuple[Any, ...]]`, i.e. ndim >= 1 +assert_type(V_1d["field"], np.ndarray[tuple[int] | tuple[Any, ...]]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_conversion.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_conversion.pyi new file mode 100644 index 0000000000000000000000000000000000000000..2af616440c5e7b35ab4697b520fb879c0aebfde9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_conversion.pyi @@ -0,0 +1,83 @@ +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt + +b1_0d: np.ndarray[tuple[()], np.dtype[np.bool]] +u2_1d: np.ndarray[tuple[int], np.dtype[np.uint16]] +i4_2d: np.ndarray[tuple[int, int], np.dtype[np.int32]] +f8_3d: np.ndarray[tuple[int, int, int], np.dtype[np.float64]] +cG_4d: np.ndarray[tuple[int, int, int, int], np.dtype[np.clongdouble]] +i0_nd: npt.NDArray[np.int_] +uncertain_dtype: np.int32 | np.float64 | np.str_ + +# item +assert_type(i0_nd.item(), int) +assert_type(i0_nd.item(1), int) +assert_type(i0_nd.item(0, 1), int) +assert_type(i0_nd.item((0, 1)), int) + +assert_type(b1_0d.item(()), bool) +assert_type(u2_1d.item((0,)), int) +assert_type(i4_2d.item(-1, 2), int) +assert_type(f8_3d.item(2, 1, -1), float) +assert_type(cG_4d.item(-0xEd_fed_Deb_a_dead_bee), complex) # c'mon Ed, we talked about this... + +# tolist +assert_type(b1_0d.tolist(), bool) +assert_type(u2_1d.tolist(), list[int]) +assert_type(i4_2d.tolist(), list[list[int]]) +assert_type(f8_3d.tolist(), list[list[list[float]]]) +assert_type(cG_4d.tolist(), Any) +assert_type(i0_nd.tolist(), Any) + +# regression tests for numpy/numpy#27944 +any_dtype: np.ndarray[Any, Any] +any_sctype: np.ndarray[Any, Any] +assert_type(any_dtype.tolist(), Any) +assert_type(any_sctype.tolist(), Any) + +# tobytes is pretty simple +# tofile does not return a value +# dump does not return a value +# dumps is pretty simple + +# astype +assert_type(i0_nd.astype("float"), npt.NDArray[Any]) +assert_type(i0_nd.astype(float), npt.NDArray[Any]) +assert_type(i0_nd.astype(np.float64), npt.NDArray[np.float64]) +assert_type(i0_nd.astype(np.float64, "K"), npt.NDArray[np.float64]) +assert_type(i0_nd.astype(np.float64, "K", "unsafe"), npt.NDArray[np.float64]) +assert_type(i0_nd.astype(np.float64, "K", "unsafe", True), npt.NDArray[np.float64]) +assert_type(i0_nd.astype(np.float64, "K", "unsafe", True, True), npt.NDArray[np.float64]) + +assert_type(np.astype(i0_nd, np.float64), npt.NDArray[np.float64]) + +assert_type(i4_2d.astype(np.uint16), np.ndarray[tuple[int, int], np.dtype[np.uint16]]) +assert_type(np.astype(i4_2d, np.uint16), np.ndarray[tuple[int, int], np.dtype[np.uint16]]) +assert_type(f8_3d.astype(np.int16), np.ndarray[tuple[int, int, int], np.dtype[np.int16]]) +assert_type(np.astype(f8_3d, np.int16), np.ndarray[tuple[int, int, int], np.dtype[np.int16]]) +assert_type(i4_2d.astype(uncertain_dtype), np.ndarray[tuple[int, int], np.dtype[np.generic]]) +assert_type(np.astype(i4_2d, uncertain_dtype), np.ndarray[tuple[int, int], np.dtype]) + +# byteswap +assert_type(i0_nd.byteswap(), npt.NDArray[np.int_]) +assert_type(i0_nd.byteswap(True), npt.NDArray[np.int_]) + +# copy +assert_type(i0_nd.copy(), npt.NDArray[np.int_]) +assert_type(i0_nd.copy("C"), npt.NDArray[np.int_]) + +assert_type(i0_nd.view(), npt.NDArray[np.int_]) +assert_type(i0_nd.view(np.float64), npt.NDArray[np.float64]) +assert_type(i0_nd.view(float), npt.NDArray[Any]) +assert_type(i0_nd.view(np.float64, np.matrix), np.matrix) + +# getfield +assert_type(i0_nd.getfield("float"), npt.NDArray[Any]) +assert_type(i0_nd.getfield(float), npt.NDArray[Any]) +assert_type(i0_nd.getfield(np.float64), npt.NDArray[np.float64]) +assert_type(i0_nd.getfield(np.float64, 8), npt.NDArray[np.float64]) + +# setflags does not return a value +# fill does not return a value diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_misc.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_misc.pyi new file mode 100644 index 0000000000000000000000000000000000000000..2972a58c328f311a2b7dc5d9a9c90737b9f6c04f --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_misc.pyi @@ -0,0 +1,246 @@ +""" +Tests for miscellaneous (non-magic) ``np.ndarray``/``np.generic`` methods. + +More extensive tests are performed for the methods' +function-based counterpart in `../from_numeric.py`. + +""" + +import ctypes as ct +import operator +from collections.abc import Iterator +from types import ModuleType +from typing import Any, Literal, assert_type +from typing_extensions import CapsuleType + +import numpy as np +import numpy.typing as npt + +class SubClass(npt.NDArray[np.object_]): ... + +f8: np.float64 +i8: np.int64 +B: SubClass +AR_f8: npt.NDArray[np.float64] +AR_i8: npt.NDArray[np.int64] +AR_u1: npt.NDArray[np.uint8] +AR_c8: npt.NDArray[np.complex64] +AR_m: npt.NDArray[np.timedelta64] +AR_U: npt.NDArray[np.str_] +AR_V: npt.NDArray[np.void] + +AR_f8_1d: np.ndarray[tuple[int], np.dtype[np.float64]] +AR_f8_2d: np.ndarray[tuple[int, int], np.dtype[np.float64]] +AR_f8_3d: np.ndarray[tuple[int, int, int], np.dtype[np.float64]] + +ctypes_obj = AR_f8.ctypes + +assert_type(AR_f8.__dlpack__(), CapsuleType) +assert_type(AR_f8.__dlpack_device__(), tuple[Literal[1], Literal[0]]) + +assert_type(ctypes_obj.data, int) +assert_type(ctypes_obj.shape, ct.Array[np.ctypeslib.c_intp]) +assert_type(ctypes_obj.strides, ct.Array[np.ctypeslib.c_intp]) +assert_type(ctypes_obj._as_parameter_, ct.c_void_p) + +assert_type(ctypes_obj.data_as(ct.c_void_p), ct.c_void_p) +assert_type(ctypes_obj.shape_as(ct.c_longlong), ct.Array[ct.c_longlong]) +assert_type(ctypes_obj.strides_as(ct.c_ubyte), ct.Array[ct.c_ubyte]) + +assert_type(f8.all(), np.bool) +assert_type(AR_f8.all(), np.bool) +assert_type(AR_f8.all(axis=0), np.bool | npt.NDArray[np.bool]) +assert_type(AR_f8.all(keepdims=True), np.bool | npt.NDArray[np.bool]) +assert_type(AR_f8.all(out=B), SubClass) + +assert_type(f8.any(), np.bool) +assert_type(AR_f8.any(), np.bool) +assert_type(AR_f8.any(axis=0), np.bool | npt.NDArray[np.bool]) +assert_type(AR_f8.any(keepdims=True), np.bool | npt.NDArray[np.bool]) +assert_type(AR_f8.any(out=B), SubClass) + +assert_type(f8.argmax(), np.intp) +assert_type(AR_f8.argmax(), np.intp) +assert_type(AR_f8.argmax(axis=0), Any) +assert_type(AR_f8.argmax(out=AR_i8), npt.NDArray[np.intp]) + +assert_type(f8.argmin(), np.intp) +assert_type(AR_f8.argmin(), np.intp) +assert_type(AR_f8.argmin(axis=0), Any) +assert_type(AR_f8.argmin(out=AR_i8), npt.NDArray[np.intp]) + +assert_type(f8.argsort(), npt.NDArray[np.intp]) +assert_type(AR_f8.argsort(), npt.NDArray[np.intp]) + +assert_type(f8.astype(np.int64).choose([()]), npt.NDArray[Any]) +assert_type(AR_f8.choose([0]), npt.NDArray[Any]) +assert_type(AR_f8.choose([0], out=B), SubClass) + +assert_type(f8.clip(1), npt.NDArray[Any]) +assert_type(AR_f8.clip(1), npt.NDArray[Any]) +assert_type(AR_f8.clip(None, 1), npt.NDArray[Any]) +assert_type(AR_f8.clip(1, out=B), SubClass) +assert_type(AR_f8.clip(None, 1, out=B), SubClass) + +assert_type(f8.compress([0]), npt.NDArray[Any]) +assert_type(AR_f8.compress([0]), npt.NDArray[Any]) +assert_type(AR_f8.compress([0], out=B), SubClass) + +assert_type(f8.conj(), np.float64) +assert_type(AR_f8.conj(), npt.NDArray[np.float64]) +assert_type(B.conj(), SubClass) + +assert_type(f8.conjugate(), np.float64) +assert_type(AR_f8.conjugate(), npt.NDArray[np.float64]) +assert_type(B.conjugate(), SubClass) + +assert_type(f8.cumprod(), npt.NDArray[Any]) +assert_type(AR_f8.cumprod(), npt.NDArray[Any]) +assert_type(AR_f8.cumprod(out=B), SubClass) + +assert_type(f8.cumsum(), npt.NDArray[Any]) +assert_type(AR_f8.cumsum(), npt.NDArray[Any]) +assert_type(AR_f8.cumsum(out=B), SubClass) + +assert_type(f8.max(), Any) +assert_type(AR_f8.max(), Any) +assert_type(AR_f8.max(axis=0), Any) +assert_type(AR_f8.max(keepdims=True), Any) +assert_type(AR_f8.max(out=B), SubClass) + +assert_type(f8.mean(), Any) +assert_type(AR_f8.mean(), Any) +assert_type(AR_f8.mean(axis=0), Any) +assert_type(AR_f8.mean(keepdims=True), Any) +assert_type(AR_f8.mean(out=B), SubClass) + +assert_type(f8.min(), Any) +assert_type(AR_f8.min(), Any) +assert_type(AR_f8.min(axis=0), Any) +assert_type(AR_f8.min(keepdims=True), Any) +assert_type(AR_f8.min(out=B), SubClass) + +assert_type(f8.prod(), Any) +assert_type(AR_f8.prod(), Any) +assert_type(AR_f8.prod(axis=0), Any) +assert_type(AR_f8.prod(keepdims=True), Any) +assert_type(AR_f8.prod(out=B), SubClass) + +assert_type(f8.round(), np.float64) +assert_type(AR_f8.round(), npt.NDArray[np.float64]) +assert_type(AR_f8.round(out=B), SubClass) + +assert_type(f8.repeat(1), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(f8.repeat(1, axis=0), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(AR_f8.repeat(1), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(AR_f8.repeat(1, axis=0), npt.NDArray[np.float64]) +assert_type(B.repeat(1), np.ndarray[tuple[int], np.dtype[np.object_]]) +assert_type(B.repeat(1, axis=0), npt.NDArray[np.object_]) + +assert_type(f8.std(), Any) +assert_type(AR_f8.std(), Any) +assert_type(AR_f8.std(axis=0), Any) +assert_type(AR_f8.std(keepdims=True), Any) +assert_type(AR_f8.std(out=B), SubClass) + +assert_type(f8.sum(), Any) +assert_type(AR_f8.sum(), Any) +assert_type(AR_f8.sum(axis=0), Any) +assert_type(AR_f8.sum(keepdims=True), Any) +assert_type(AR_f8.sum(out=B), SubClass) + +assert_type(f8.take(0), np.float64) +assert_type(AR_f8.take(0), np.float64) +assert_type(AR_f8.take([0]), npt.NDArray[np.float64]) +assert_type(AR_f8.take(0, out=B), SubClass) +assert_type(AR_f8.take([0], out=B), SubClass) + +assert_type(f8.var(), Any) +assert_type(AR_f8.var(), Any) +assert_type(AR_f8.var(axis=0), Any) +assert_type(AR_f8.var(keepdims=True), Any) +assert_type(AR_f8.var(out=B), SubClass) + +assert_type(AR_f8.argpartition([0]), npt.NDArray[np.intp]) + +assert_type(AR_f8.diagonal(), npt.NDArray[np.float64]) + +assert_type(AR_f8.dot(1), npt.NDArray[Any]) +assert_type(AR_f8.dot([1]), Any) +assert_type(AR_f8.dot(1, out=B), SubClass) + +assert_type(AR_f8.nonzero(), tuple[np.ndarray[tuple[int], np.dtype[np.intp]], ...]) + +assert_type(AR_f8.searchsorted(1), np.intp) +assert_type(AR_f8.searchsorted([1]), npt.NDArray[np.intp]) + +assert_type(AR_f8.trace(), Any) +assert_type(AR_f8.trace(out=B), SubClass) + +assert_type(AR_f8.item(), float) +assert_type(AR_U.item(), str) + +assert_type(AR_f8.ravel(), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(AR_U.ravel(), np.ndarray[tuple[int], np.dtype[np.str_]]) + +assert_type(AR_f8.flatten(), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(AR_U.flatten(), np.ndarray[tuple[int], np.dtype[np.str_]]) + +assert_type(AR_i8.reshape(None), npt.NDArray[np.int64]) +assert_type(AR_f8.reshape(-1), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(AR_c8.reshape(2, 3, 4, 5), np.ndarray[tuple[int, int, int, int], np.dtype[np.complex64]]) +assert_type(AR_m.reshape(()), np.ndarray[tuple[()], np.dtype[np.timedelta64]]) +assert_type(AR_U.reshape([]), np.ndarray[tuple[()], np.dtype[np.str_]]) +assert_type(AR_V.reshape((480, 720, 4)), np.ndarray[tuple[int, int, int], np.dtype[np.void]]) + +assert_type(int(AR_f8), int) +assert_type(int(AR_U), int) + +assert_type(float(AR_f8), float) +assert_type(float(AR_U), float) + +assert_type(complex(AR_f8), complex) + +assert_type(operator.index(AR_i8), int) + +assert_type(AR_f8.__array_wrap__(B), npt.NDArray[np.object_]) + +assert_type(AR_V[0], Any) +assert_type(AR_V[0, 0], Any) +assert_type(AR_V[AR_i8], npt.NDArray[np.void]) +assert_type(AR_V[AR_i8, AR_i8], npt.NDArray[np.void]) +assert_type(AR_V[AR_i8, None], npt.NDArray[np.void]) +assert_type(AR_V[0, ...], npt.NDArray[np.void]) +assert_type(AR_V[[0]], npt.NDArray[np.void]) +assert_type(AR_V[[0], [0]], npt.NDArray[np.void]) +assert_type(AR_V[:], npt.NDArray[np.void]) +assert_type(AR_V["a"], npt.NDArray[Any]) +assert_type(AR_V[["a", "b"]], npt.NDArray[np.void]) + +assert_type(AR_f8.dump("test_file"), None) +assert_type(AR_f8.dump(b"test_file"), None) +with open("test_file", "wb") as f: + assert_type(AR_f8.dump(f), None) + +assert_type(AR_f8.__array_finalize__(None), None) +assert_type(AR_f8.__array_finalize__(B), None) +assert_type(AR_f8.__array_finalize__(AR_f8), None) + +assert_type(f8.device, Literal["cpu"]) +assert_type(AR_f8.device, Literal["cpu"]) + +assert_type(f8.to_device("cpu"), np.float64) +assert_type(i8.to_device("cpu"), np.int64) +assert_type(AR_f8.to_device("cpu"), npt.NDArray[np.float64]) +assert_type(AR_i8.to_device("cpu"), npt.NDArray[np.int64]) +assert_type(AR_u1.to_device("cpu"), npt.NDArray[np.uint8]) +assert_type(AR_c8.to_device("cpu"), npt.NDArray[np.complex64]) +assert_type(AR_m.to_device("cpu"), npt.NDArray[np.timedelta64]) + +assert_type(f8.__array_namespace__(), ModuleType) +assert_type(AR_f8.__array_namespace__(), ModuleType) + +assert_type(iter(AR_f8), Iterator[Any]) # any-D +assert_type(iter(AR_f8_1d), Iterator[np.float64]) # 1-D +assert_type(iter(AR_f8_2d), Iterator[npt.NDArray[np.float64]]) # 2-D +assert_type(iter(AR_f8_3d), Iterator[npt.NDArray[np.float64]]) # 3-D diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_shape_manipulation.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_shape_manipulation.pyi new file mode 100644 index 0000000000000000000000000000000000000000..0ce599a4031049b366a66b30537c503b612588fe --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ndarray_shape_manipulation.pyi @@ -0,0 +1,47 @@ +from typing import TypeAlias, assert_type + +import numpy as np +import numpy.typing as npt + +_ArrayND: TypeAlias = npt.NDArray[np.int64] +_Array2D: TypeAlias = np.ndarray[tuple[int, int], np.dtype[np.int8]] +_Array3D: TypeAlias = np.ndarray[tuple[int, int, int], np.dtype[np.bool]] + +_nd: _ArrayND +_2d: _Array2D +_3d: _Array3D + +# reshape +assert_type(_nd.reshape(None), npt.NDArray[np.int64]) +assert_type(_nd.reshape(4), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(_nd.reshape((4,)), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(_nd.reshape(2, 2), np.ndarray[tuple[int, int], np.dtype[np.int64]]) +assert_type(_nd.reshape((2, 2)), np.ndarray[tuple[int, int], np.dtype[np.int64]]) + +assert_type(_nd.reshape((2, 2), order="C"), np.ndarray[tuple[int, int], np.dtype[np.int64]]) +assert_type(_nd.reshape(4, order="C"), np.ndarray[tuple[int], np.dtype[np.int64]]) + +# resize does not return a value + +# transpose +assert_type(_nd.transpose(), npt.NDArray[np.int64]) +assert_type(_nd.transpose(1, 0), npt.NDArray[np.int64]) +assert_type(_nd.transpose((1, 0)), npt.NDArray[np.int64]) + +# swapaxes +assert_type(_nd.swapaxes(0, 1), _ArrayND) +assert_type(_2d.swapaxes(0, 1), _Array2D) +assert_type(_3d.swapaxes(0, 1), _Array3D) + +# flatten +assert_type(_nd.flatten(), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(_nd.flatten("C"), np.ndarray[tuple[int], np.dtype[np.int64]]) + +# ravel +assert_type(_nd.ravel(), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(_nd.ravel("C"), np.ndarray[tuple[int], np.dtype[np.int64]]) + +# squeeze +assert_type(_nd.squeeze(), npt.NDArray[np.int64]) +assert_type(_nd.squeeze(0), npt.NDArray[np.int64]) +assert_type(_nd.squeeze((0, 2)), npt.NDArray[np.int64]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/nditer.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/nditer.pyi new file mode 100644 index 0000000000000000000000000000000000000000..8965f3c03e6de46740c7b1aa8978f1730a0ac799 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/nditer.pyi @@ -0,0 +1,49 @@ +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt + +nditer_obj: np.nditer + +assert_type(np.nditer([0, 1], flags=["c_index"]), np.nditer) +assert_type(np.nditer([0, 1], op_flags=[["readonly", "readonly"]]), np.nditer) +assert_type(np.nditer([0, 1], op_dtypes=np.int_), np.nditer) +assert_type(np.nditer([0, 1], order="C", casting="no"), np.nditer) + +assert_type(nditer_obj.dtypes, tuple[np.dtype, ...]) +assert_type(nditer_obj.finished, bool) +assert_type(nditer_obj.has_delayed_bufalloc, bool) +assert_type(nditer_obj.has_index, bool) +assert_type(nditer_obj.has_multi_index, bool) +assert_type(nditer_obj.index, int) +assert_type(nditer_obj.iterationneedsapi, bool) +assert_type(nditer_obj.iterindex, int) +assert_type(nditer_obj.iterrange, tuple[int, ...]) +assert_type(nditer_obj.itersize, int) +assert_type(nditer_obj.itviews, tuple[npt.NDArray[Any], ...]) +assert_type(nditer_obj.multi_index, tuple[int, ...]) +assert_type(nditer_obj.ndim, int) +assert_type(nditer_obj.nop, int) +assert_type(nditer_obj.operands, tuple[npt.NDArray[Any], ...]) +assert_type(nditer_obj.shape, tuple[int, ...]) +assert_type(nditer_obj.value, tuple[npt.NDArray[Any], ...]) + +assert_type(nditer_obj.close(), None) +assert_type(nditer_obj.copy(), np.nditer) +assert_type(nditer_obj.debug_print(), None) +assert_type(nditer_obj.enable_external_loop(), None) +assert_type(nditer_obj.iternext(), bool) +assert_type(nditer_obj.remove_axis(0), None) +assert_type(nditer_obj.remove_multi_index(), None) +assert_type(nditer_obj.reset(), None) + +assert_type(len(nditer_obj), int) +assert_type(iter(nditer_obj), np.nditer) +assert_type(next(nditer_obj), tuple[npt.NDArray[Any], ...]) +assert_type(nditer_obj.__copy__(), np.nditer) +with nditer_obj as f: + assert_type(f, np.nditer) +assert_type(nditer_obj[0], npt.NDArray[Any]) +assert_type(nditer_obj[:], tuple[npt.NDArray[Any], ...]) +nditer_obj[0] = 0 +nditer_obj[:] = [0, 1] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/nested_sequence.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/nested_sequence.pyi new file mode 100644 index 0000000000000000000000000000000000000000..b4f98b79c3339fa856a09cd639961b5bb8156fd3 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/nested_sequence.pyi @@ -0,0 +1,25 @@ +from collections.abc import Sequence +from typing import Any, assert_type + +from numpy._typing import _NestedSequence + +a: Sequence[int] +b: Sequence[Sequence[int]] +c: Sequence[Sequence[Sequence[int]]] +d: Sequence[Sequence[Sequence[Sequence[int]]]] +e: Sequence[bool] +f: tuple[int, ...] +g: list[int] +h: Sequence[Any] + +def func(a: _NestedSequence[int]) -> None: ... + +assert_type(func(a), None) +assert_type(func(b), None) +assert_type(func(c), None) +assert_type(func(d), None) +assert_type(func(e), None) +assert_type(func(f), None) +assert_type(func(g), None) +assert_type(func(h), None) +assert_type(func(range(15)), None) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/npyio.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/npyio.pyi new file mode 100644 index 0000000000000000000000000000000000000000..e3eaa45a5fa1a4cf0366f674e7a1629fac9b9dd8 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/npyio.pyi @@ -0,0 +1,83 @@ +import pathlib +import re +import zipfile +from collections.abc import Mapping +from typing import IO, Any, assert_type + +import numpy as np +import numpy.typing as npt +from numpy.lib._npyio_impl import BagObj + +str_path: str +pathlib_path: pathlib.Path +str_file: IO[str] +bytes_file: IO[bytes] + +npz_file: np.lib.npyio.NpzFile + +AR_i8: npt.NDArray[np.int64] +AR_LIKE_f8: list[float] + +class BytesWriter: + def write(self, data: bytes) -> None: ... + +class BytesReader: + def read(self, n: int = ...) -> bytes: ... + def seek(self, offset: int, whence: int = ...) -> int: ... + +bytes_writer: BytesWriter +bytes_reader: BytesReader + +assert_type(npz_file.zip, zipfile.ZipFile | None) +assert_type(npz_file.fid, IO[str] | None) +assert_type(npz_file.files, list[str]) +assert_type(npz_file.allow_pickle, bool) +assert_type(npz_file.pickle_kwargs, Mapping[str, Any] | None) +assert_type(npz_file.f, BagObj[np.lib.npyio.NpzFile]) +assert_type(npz_file["test"], npt.NDArray[Any]) +assert_type(len(npz_file), int) +with npz_file as f: + assert_type(f, np.lib.npyio.NpzFile) + +assert_type(np.load(bytes_file), Any) +assert_type(np.load(pathlib_path, allow_pickle=True), Any) +assert_type(np.load(str_path, encoding="bytes"), Any) +assert_type(np.load(bytes_reader), Any) + +assert_type(np.save(bytes_file, AR_LIKE_f8), None) +assert_type(np.save(pathlib_path, AR_i8, allow_pickle=True), None) +assert_type(np.save(str_path, AR_LIKE_f8), None) +assert_type(np.save(bytes_writer, AR_LIKE_f8), None) + +assert_type(np.savez(bytes_file, AR_LIKE_f8), None) +assert_type(np.savez(pathlib_path, ar1=AR_i8, ar2=AR_i8), None) +assert_type(np.savez(str_path, AR_LIKE_f8, ar1=AR_i8), None) +assert_type(np.savez(bytes_writer, AR_LIKE_f8, ar1=AR_i8), None) + +assert_type(np.savez_compressed(bytes_file, AR_LIKE_f8), None) +assert_type(np.savez_compressed(pathlib_path, ar1=AR_i8, ar2=AR_i8), None) +assert_type(np.savez_compressed(str_path, AR_LIKE_f8, ar1=AR_i8), None) +assert_type(np.savez_compressed(bytes_writer, AR_LIKE_f8, ar1=AR_i8), None) + +assert_type(np.loadtxt(bytes_file), npt.NDArray[np.float64]) +assert_type(np.loadtxt(pathlib_path, dtype=np.str_), npt.NDArray[np.str_]) +assert_type(np.loadtxt(str_path, dtype=str, skiprows=2), npt.NDArray[Any]) +assert_type(np.loadtxt(str_file, comments="test"), npt.NDArray[np.float64]) +assert_type(np.loadtxt(str_file, comments=None), npt.NDArray[np.float64]) +assert_type(np.loadtxt(str_path, delimiter="\n"), npt.NDArray[np.float64]) +assert_type(np.loadtxt(str_path, ndmin=2), npt.NDArray[np.float64]) +assert_type(np.loadtxt(["1", "2", "3"]), npt.NDArray[np.float64]) + +assert_type(np.fromregex(bytes_file, "test", np.float64), npt.NDArray[np.float64]) +assert_type(np.fromregex(str_file, b"test", dtype=float), npt.NDArray[Any]) +assert_type(np.fromregex(str_path, re.compile("test"), dtype=np.str_, encoding="utf8"), npt.NDArray[np.str_]) +assert_type(np.fromregex(pathlib_path, "test", np.float64), npt.NDArray[np.float64]) +assert_type(np.fromregex(bytes_reader, "test", np.float64), npt.NDArray[np.float64]) + +assert_type(np.genfromtxt(bytes_file), npt.NDArray[Any]) +assert_type(np.genfromtxt(pathlib_path, dtype=np.str_), npt.NDArray[np.str_]) +assert_type(np.genfromtxt(str_path, dtype=str, skip_header=2), npt.NDArray[Any]) +assert_type(np.genfromtxt(str_file, comments="test"), npt.NDArray[Any]) +assert_type(np.genfromtxt(str_path, delimiter="\n"), npt.NDArray[Any]) +assert_type(np.genfromtxt(str_path, ndmin=2), npt.NDArray[Any]) +assert_type(np.genfromtxt(["1", "2", "3"], ndmin=2), npt.NDArray[Any]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/numeric.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/numeric.pyi new file mode 100644 index 0000000000000000000000000000000000000000..24f97d2d078436f0b99420714e8aef11b1297da3 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/numeric.pyi @@ -0,0 +1,170 @@ +""" +Tests for :mod:`_core.numeric`. + +Does not include tests which fall under ``array_constructors``. + +""" + +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt + +class SubClass(npt.NDArray[np.int64]): ... + +i8: np.int64 + +AR_b: npt.NDArray[np.bool] +AR_u8: npt.NDArray[np.uint64] +AR_i8: npt.NDArray[np.int64] +AR_f8: npt.NDArray[np.float64] +AR_c16: npt.NDArray[np.complex128] +AR_m: npt.NDArray[np.timedelta64] +AR_O: npt.NDArray[np.object_] + +_sub_nd_i8: SubClass + +_to_1d_bool: list[bool] +_to_1d_int: list[int] +_to_1d_float: list[float] +_to_1d_complex: list[complex] + +### + +assert_type(np.count_nonzero(i8), np.intp) +assert_type(np.count_nonzero(AR_i8), np.intp) +assert_type(np.count_nonzero(_to_1d_int), np.intp) +assert_type(np.count_nonzero(AR_i8, keepdims=True), npt.NDArray[np.intp]) +assert_type(np.count_nonzero(AR_i8, axis=0), Any) + +assert_type(np.isfortran(i8), bool) +assert_type(np.isfortran(AR_i8), bool) + +assert_type(np.argwhere(i8), np.ndarray[tuple[int, int], np.dtype[np.intp]]) +assert_type(np.argwhere(AR_i8), np.ndarray[tuple[int, int], np.dtype[np.intp]]) + +assert_type(np.flatnonzero(i8), np.ndarray[tuple[int], np.dtype[np.intp]]) +assert_type(np.flatnonzero(AR_i8), np.ndarray[tuple[int], np.dtype[np.intp]]) + +# correlate +assert_type(np.correlate(AR_i8, AR_i8), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(np.correlate(AR_b, AR_b), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.correlate(AR_u8, AR_u8), np.ndarray[tuple[int], np.dtype[np.uint64]]) +assert_type(np.correlate(AR_i8, AR_i8), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(np.correlate(AR_f8, AR_f8), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.correlate(AR_f8, AR_i8), np.ndarray[tuple[int], np.dtype[np.float64 | Any]]) +assert_type(np.correlate(AR_c16, AR_c16), np.ndarray[tuple[int], np.dtype[np.complex128]]) +assert_type(np.correlate(AR_c16, AR_f8), np.ndarray[tuple[int], np.dtype[np.complex128 | Any]]) +assert_type(np.correlate(AR_m, AR_m), np.ndarray[tuple[int], np.dtype[np.timedelta64]]) +assert_type(np.correlate(AR_i8, AR_m), np.ndarray[tuple[int], np.dtype[np.timedelta64 | Any]]) +assert_type(np.correlate(AR_O, AR_O), np.ndarray[tuple[int], np.dtype[np.object_]]) +assert_type(np.correlate(_to_1d_bool, _to_1d_bool), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.correlate(_to_1d_int, _to_1d_int), np.ndarray[tuple[int], np.dtype[np.int_ | Any]]) +assert_type(np.correlate(_to_1d_float, _to_1d_float), np.ndarray[tuple[int], np.dtype[np.float64 | Any]]) +assert_type(np.correlate(_to_1d_complex, _to_1d_complex), np.ndarray[tuple[int], np.dtype[np.complex128 | Any]]) + +# convolve (same as correlate) +assert_type(np.convolve(AR_i8, AR_i8), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(np.convolve(AR_b, AR_b), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.convolve(AR_u8, AR_u8), np.ndarray[tuple[int], np.dtype[np.uint64]]) +assert_type(np.convolve(AR_i8, AR_i8), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(np.convolve(AR_f8, AR_f8), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(np.convolve(AR_f8, AR_i8), np.ndarray[tuple[int], np.dtype[np.float64 | Any]]) +assert_type(np.convolve(AR_c16, AR_c16), np.ndarray[tuple[int], np.dtype[np.complex128]]) +assert_type(np.convolve(AR_c16, AR_f8), np.ndarray[tuple[int], np.dtype[np.complex128 | Any]]) +assert_type(np.convolve(AR_m, AR_m), np.ndarray[tuple[int], np.dtype[np.timedelta64]]) +assert_type(np.convolve(AR_i8, AR_m), np.ndarray[tuple[int], np.dtype[np.timedelta64 | Any]]) +assert_type(np.convolve(AR_O, AR_O), np.ndarray[tuple[int], np.dtype[np.object_]]) +assert_type(np.convolve(_to_1d_bool, _to_1d_bool), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.convolve(_to_1d_int, _to_1d_int), np.ndarray[tuple[int], np.dtype[np.int_ | Any]]) +assert_type(np.convolve(_to_1d_float, _to_1d_float), np.ndarray[tuple[int], np.dtype[np.float64 | Any]]) +assert_type(np.convolve(_to_1d_complex, _to_1d_complex), np.ndarray[tuple[int], np.dtype[np.complex128 | Any]]) + +# outer (very similar to above, but 2D output) +assert_type(np.outer(AR_i8, AR_i8), np.ndarray[tuple[int, int], np.dtype[np.int64]]) +assert_type(np.outer(AR_b, AR_b), np.ndarray[tuple[int, int], np.dtype[np.bool]]) +assert_type(np.outer(AR_u8, AR_u8), np.ndarray[tuple[int, int], np.dtype[np.uint64]]) +assert_type(np.outer(AR_i8, AR_i8), np.ndarray[tuple[int, int], np.dtype[np.int64]]) +assert_type(np.outer(AR_f8, AR_f8), np.ndarray[tuple[int, int], np.dtype[np.float64]]) +assert_type(np.outer(AR_f8, AR_i8), np.ndarray[tuple[int, int], np.dtype[np.float64 | Any]]) +assert_type(np.outer(AR_c16, AR_c16), np.ndarray[tuple[int, int], np.dtype[np.complex128]]) +assert_type(np.outer(AR_c16, AR_f8), np.ndarray[tuple[int, int], np.dtype[np.complex128 | Any]]) +assert_type(np.outer(AR_m, AR_m), np.ndarray[tuple[int, int], np.dtype[np.timedelta64]]) +assert_type(np.outer(AR_i8, AR_m), np.ndarray[tuple[int, int], np.dtype[np.timedelta64 | Any]]) +assert_type(np.outer(AR_O, AR_O), np.ndarray[tuple[int, int], np.dtype[np.object_]]) +assert_type(np.outer(AR_i8, AR_i8, out=_sub_nd_i8), SubClass) +assert_type(np.outer(_to_1d_bool, _to_1d_bool), np.ndarray[tuple[int, int], np.dtype[np.bool]]) +assert_type(np.outer(_to_1d_int, _to_1d_int), np.ndarray[tuple[int, int], np.dtype[np.int_ | Any]]) +assert_type(np.outer(_to_1d_float, _to_1d_float), np.ndarray[tuple[int, int], np.dtype[np.float64 | Any]]) +assert_type(np.outer(_to_1d_complex, _to_1d_complex), np.ndarray[tuple[int, int], np.dtype[np.complex128 | Any]]) + +# tensordot +assert_type(np.tensordot(AR_i8, AR_i8), npt.NDArray[np.int64]) +assert_type(np.tensordot(AR_b, AR_b), npt.NDArray[np.bool]) +assert_type(np.tensordot(AR_u8, AR_u8), npt.NDArray[np.uint64]) +assert_type(np.tensordot(AR_i8, AR_i8), npt.NDArray[np.int64]) +assert_type(np.tensordot(AR_f8, AR_f8), npt.NDArray[np.float64]) +assert_type(np.tensordot(AR_f8, AR_i8), npt.NDArray[np.float64 | Any]) +assert_type(np.tensordot(AR_c16, AR_c16), npt.NDArray[np.complex128]) +assert_type(np.tensordot(AR_c16, AR_f8), npt.NDArray[np.complex128 | Any]) +assert_type(np.tensordot(AR_m, AR_m), npt.NDArray[np.timedelta64]) +assert_type(np.tensordot(AR_O, AR_O), npt.NDArray[np.object_]) +assert_type(np.tensordot(_to_1d_bool, _to_1d_bool), npt.NDArray[np.bool]) +assert_type(np.tensordot(_to_1d_int, _to_1d_int), npt.NDArray[np.int_ | Any]) +assert_type(np.tensordot(_to_1d_float, _to_1d_float), npt.NDArray[np.float64 | Any]) +assert_type(np.tensordot(_to_1d_complex, _to_1d_complex), npt.NDArray[np.complex128 | Any]) + +# cross +assert_type(np.cross(AR_i8, AR_i8), npt.NDArray[np.int64]) +assert_type(np.cross(AR_u8, AR_u8), npt.NDArray[np.uint64]) +assert_type(np.cross(AR_i8, AR_i8), npt.NDArray[np.int64]) +assert_type(np.cross(AR_f8, AR_f8), npt.NDArray[np.float64]) +assert_type(np.cross(AR_f8, AR_i8), npt.NDArray[np.float64 | Any]) +assert_type(np.cross(AR_c16, AR_c16), npt.NDArray[np.complex128]) +assert_type(np.cross(AR_c16, AR_f8), npt.NDArray[np.complex128 | Any]) +assert_type(np.cross(AR_m, AR_m), npt.NDArray[np.timedelta64]) +assert_type(np.cross(AR_O, AR_O), npt.NDArray[np.object_]) +assert_type(np.cross(_to_1d_int, _to_1d_int), npt.NDArray[np.int_ | Any]) +assert_type(np.cross(_to_1d_float, _to_1d_float), npt.NDArray[np.float64 | Any]) +assert_type(np.cross(_to_1d_complex, _to_1d_complex), npt.NDArray[np.complex128 | Any]) + +assert_type(np.isscalar(i8), bool) +assert_type(np.isscalar(AR_i8), bool) +assert_type(np.isscalar(_to_1d_int), bool) + +assert_type(np.roll(AR_i8, 1), npt.NDArray[np.int64]) +assert_type(np.roll(AR_i8, (1, 2)), npt.NDArray[np.int64]) +assert_type(np.roll(_to_1d_int, 1), npt.NDArray[Any]) + +assert_type(np.rollaxis(AR_i8, 0, 1), npt.NDArray[np.int64]) + +assert_type(np.moveaxis(AR_i8, 0, 1), npt.NDArray[np.int64]) +assert_type(np.moveaxis(AR_i8, (0, 1), (1, 2)), npt.NDArray[np.int64]) + +assert_type(np.indices([0, 1, 2]), npt.NDArray[np.int_]) +assert_type(np.indices([0, 1, 2], sparse=True), tuple[npt.NDArray[np.int_], ...]) +assert_type(np.indices([0, 1, 2], dtype=np.float64), npt.NDArray[np.float64]) +assert_type(np.indices([0, 1, 2], sparse=True, dtype=np.float64), tuple[npt.NDArray[np.float64], ...]) +assert_type(np.indices([0, 1, 2], dtype=float), npt.NDArray[Any]) +assert_type(np.indices([0, 1, 2], sparse=True, dtype=float), tuple[npt.NDArray[Any], ...]) + +assert_type(np.binary_repr(1), str) + +assert_type(np.base_repr(1), str) + +assert_type(np.allclose(i8, AR_i8), bool) +assert_type(np.allclose(_to_1d_int, AR_i8), bool) +assert_type(np.allclose(AR_i8, AR_i8), bool) + +assert_type(np.isclose(i8, i8), np.bool) +assert_type(np.isclose(i8, AR_i8), npt.NDArray[np.bool]) +assert_type(np.isclose(_to_1d_int, _to_1d_int), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(np.isclose(AR_i8, AR_i8), npt.NDArray[np.bool]) + +assert_type(np.array_equal(i8, AR_i8), bool) +assert_type(np.array_equal(_to_1d_int, AR_i8), bool) +assert_type(np.array_equal(AR_i8, AR_i8), bool) + +assert_type(np.array_equiv(i8, AR_i8), bool) +assert_type(np.array_equiv(_to_1d_int, AR_i8), bool) +assert_type(np.array_equiv(AR_i8, AR_i8), bool) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/numerictypes.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/numerictypes.pyi new file mode 100644 index 0000000000000000000000000000000000000000..75d108ce5a0ffb3fdbd6cf4c4712909298ad5780 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/numerictypes.pyi @@ -0,0 +1,16 @@ +from typing import Literal, assert_type + +import numpy as np + +assert_type(np.ScalarType[0], type[int]) +assert_type(np.ScalarType[3], type[bool]) +assert_type(np.ScalarType[8], type[np.complex64]) +assert_type(np.ScalarType[9], type[np.complex128]) +assert_type(np.ScalarType[-1], type[np.void]) +assert_type(np.bool_(object()), np.bool) + +assert_type(np.typecodes["Character"], Literal["c"]) +assert_type(np.typecodes["Complex"], Literal["FDG"]) +assert_type(np.typecodes["All"], Literal["?bhilqnpBHILQNPefdgFDGSUVOMm"]) + +assert_type(np.sctypeDict["uint8"], type[np.generic]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/polynomial_polybase.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/polynomial_polybase.pyi new file mode 100644 index 0000000000000000000000000000000000000000..4c4899ad6308722b14ac67d1585c2b77b58755f6 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/polynomial_polybase.pyi @@ -0,0 +1,217 @@ +from collections.abc import Sequence +from decimal import Decimal +from typing import Any, Literal as L, TypeAlias, TypeVar, assert_type + +import numpy as np +import numpy.polynomial as npp +import numpy.typing as npt + +_Ar_x: TypeAlias = npt.NDArray[np.inexact | np.object_] +_Ar_f: TypeAlias = npt.NDArray[np.floating] +_Ar_c: TypeAlias = npt.NDArray[np.complexfloating] +_Ar_O: TypeAlias = npt.NDArray[np.object_] + +_Ar_x_n: TypeAlias = np.ndarray[tuple[int], np.dtype[np.inexact | np.object_]] +_Ar_f_n: TypeAlias = np.ndarray[tuple[int], np.dtype[np.floating]] +_Ar_c_n: TypeAlias = np.ndarray[tuple[int], np.dtype[np.complexfloating]] +_Ar_O_n: TypeAlias = np.ndarray[tuple[int], np.dtype[np.object_]] + +_Ar_x_2: TypeAlias = np.ndarray[tuple[L[2]], np.dtype[np.float64 | Any]] +_Ar_f_2: TypeAlias = np.ndarray[tuple[L[2]], np.dtype[np.floating]] +_Ar_c_2: TypeAlias = np.ndarray[tuple[L[2]], np.dtype[np.complexfloating]] +_Ar_O_2: TypeAlias = np.ndarray[tuple[L[2]], np.dtype[np.object_]] + +_ScalarT = TypeVar("_ScalarT", bound=np.generic) +_Ar_1d: TypeAlias = np.ndarray[tuple[int], np.dtype[_ScalarT]] + +_BasisName: TypeAlias = L["X"] + +SC_i: np.int_ +SC_i_co: int | np.int_ +SC_f: np.float64 +SC_f_co: float | np.float64 | np.int_ +SC_c: np.complex128 +SC_c_co: complex | np.complex128 +SC_O: Decimal + +AR_i: npt.NDArray[np.int_] +AR_f: npt.NDArray[np.float64] +AR_f_co: npt.NDArray[np.float64] | npt.NDArray[np.int_] +AR_c: npt.NDArray[np.complex128] +AR_c_co: npt.NDArray[np.complex128] | npt.NDArray[np.float64] | npt.NDArray[np.int_] +AR_O: npt.NDArray[np.object_] +AR_O_co: npt.NDArray[np.object_ | np.number] + +SQ_i: Sequence[int] +SQ_f: Sequence[float] +SQ_c: Sequence[complex] +SQ_O: Sequence[Decimal] + +PS_poly: npp.Polynomial +PS_cheb: npp.Chebyshev +PS_herm: npp.Hermite +PS_herme: npp.HermiteE +PS_lag: npp.Laguerre +PS_leg: npp.Legendre +PS_all: ( + npp.Polynomial + | npp.Chebyshev + | npp.Hermite + | npp.HermiteE + | npp.Laguerre + | npp.Legendre +) + +# static- and classmethods + +assert_type(type(PS_poly).basis_name, None) +assert_type(type(PS_cheb).basis_name, L["T"]) +assert_type(type(PS_herm).basis_name, L["H"]) +assert_type(type(PS_herme).basis_name, L["He"]) +assert_type(type(PS_lag).basis_name, L["L"]) +assert_type(type(PS_leg).basis_name, L["P"]) + +assert_type(type(PS_all).__hash__, None) +assert_type(type(PS_all).__array_ufunc__, None) +assert_type(type(PS_all).maxpower, L[100]) + +assert_type(type(PS_poly).fromroots(SC_i), npp.Polynomial) +assert_type(type(PS_poly).fromroots(SQ_i), npp.Polynomial) +assert_type(type(PS_poly).fromroots(AR_i), npp.Polynomial) +assert_type(type(PS_cheb).fromroots(SC_f), npp.Chebyshev) +assert_type(type(PS_cheb).fromroots(SQ_f), npp.Chebyshev) +assert_type(type(PS_cheb).fromroots(AR_f_co), npp.Chebyshev) +assert_type(type(PS_herm).fromroots(SC_c), npp.Hermite) +assert_type(type(PS_herm).fromroots(SQ_c), npp.Hermite) +assert_type(type(PS_herm).fromroots(AR_c_co), npp.Hermite) +assert_type(type(PS_leg).fromroots(SC_O), npp.Legendre) +assert_type(type(PS_leg).fromroots(SQ_O), npp.Legendre) +assert_type(type(PS_leg).fromroots(AR_O_co), npp.Legendre) + +assert_type(type(PS_poly).identity(), npp.Polynomial) +assert_type(type(PS_cheb).identity(symbol="z"), npp.Chebyshev) + +assert_type(type(PS_lag).basis(SC_i), npp.Laguerre) +assert_type(type(PS_leg).basis(32, symbol="u"), npp.Legendre) + +assert_type(type(PS_herm).cast(PS_poly), npp.Hermite) +assert_type(type(PS_herme).cast(PS_leg), npp.HermiteE) + +# attributes / properties + +assert_type(PS_all.coef, _Ar_x_n) +assert_type(PS_all.domain, _Ar_x_2) +assert_type(PS_all.window, _Ar_x_2) +assert_type(PS_all.symbol, str) + +# instance methods + +assert_type(PS_all.has_samecoef(PS_all), bool) +assert_type(PS_all.has_samedomain(PS_all), bool) +assert_type(PS_all.has_samewindow(PS_all), bool) +assert_type(PS_all.has_sametype(PS_all), bool) +assert_type(PS_poly.has_sametype(PS_poly), bool) +assert_type(PS_poly.has_sametype(PS_leg), bool) +assert_type(PS_poly.has_sametype(NotADirectoryError), bool) + +assert_type(PS_poly.copy(), npp.Polynomial) +assert_type(PS_cheb.copy(), npp.Chebyshev) +assert_type(PS_herm.copy(), npp.Hermite) +assert_type(PS_herme.copy(), npp.HermiteE) +assert_type(PS_lag.copy(), npp.Laguerre) +assert_type(PS_leg.copy(), npp.Legendre) + +assert_type(PS_leg.cutdeg(3), npp.Legendre) +assert_type(PS_leg.trim(), npp.Legendre) +assert_type(PS_leg.trim(tol=SC_f_co), npp.Legendre) +assert_type(PS_leg.truncate(SC_i_co), npp.Legendre) + +assert_type(PS_all.convert(None, npp.Chebyshev), npp.Chebyshev) +assert_type(PS_all.convert((0, 1), npp.Laguerre), npp.Laguerre) +assert_type(PS_all.convert([0, 1], npp.Hermite, [-1, 1]), npp.Hermite) + +assert_type(PS_all.degree(), int) +assert_type(PS_all.mapparms(), tuple[Any, Any]) + +assert_type(PS_poly.integ(), npp.Polynomial) +assert_type(PS_herme.integ(SC_i_co), npp.HermiteE) +assert_type(PS_lag.integ(SC_i_co, SC_f_co), npp.Laguerre) +assert_type(PS_poly.deriv(), npp.Polynomial) +assert_type(PS_herm.deriv(SC_i_co), npp.Hermite) + +assert_type(PS_poly.roots(), _Ar_x_n) + +assert_type( + PS_poly.linspace(), + tuple[_Ar_1d[np.float64 | np.complex128], _Ar_1d[np.float64 | np.complex128]], +) + +assert_type( + PS_poly.linspace(9), + tuple[_Ar_1d[np.float64 | np.complex128], _Ar_1d[np.float64 | np.complex128]], +) + +assert_type(PS_cheb.fit(AR_c_co, AR_c_co, SC_i_co), npp.Chebyshev) +assert_type(PS_leg.fit(AR_c_co, AR_c_co, AR_i), npp.Legendre) +assert_type(PS_herm.fit(AR_c_co, AR_c_co, SQ_i), npp.Hermite) +assert_type(PS_poly.fit(AR_c_co, SQ_c, SQ_i), npp.Polynomial) +assert_type(PS_lag.fit(SQ_c, SQ_c, SQ_i, full=False), npp.Laguerre) +assert_type( + PS_herme.fit(SQ_c, AR_c_co, SC_i_co, full=True), + tuple[npp.HermiteE, Sequence[np.inexact | np.int32]], +) + +# custom operations + +assert_type(PS_all.__hash__, None) +assert_type(PS_all.__array_ufunc__, None) + +assert_type(str(PS_all), str) +assert_type(repr(PS_all), str) +assert_type(format(PS_all), str) + +assert_type(len(PS_all), int) +assert_type(next(iter(PS_all)), np.float64 | Any) + +assert_type(PS_all(SC_f_co), np.float64 | Any) +assert_type(PS_all(SC_c_co), np.complex128 | Any) +assert_type(PS_all(Decimal()), np.float64 | Any) +assert_type(PS_poly(SQ_f), npt.NDArray[np.float64 | Any]) +assert_type(PS_poly(SQ_c), npt.NDArray[np.complex128 | Any]) +assert_type(PS_poly(SQ_O), npt.NDArray[np.object_]) +assert_type(PS_poly(AR_f), npt.NDArray[np.float64 | Any]) +assert_type(PS_poly(AR_c), npt.NDArray[np.complex128 | Any]) +assert_type(PS_poly(AR_O), npt.NDArray[np.object_]) +assert_type(PS_all(PS_poly), npp.Polynomial) + +assert_type(PS_poly == PS_poly, bool) +assert_type(PS_poly != PS_poly, bool) + +assert_type(-PS_poly, npp.Polynomial) +assert_type(+PS_poly, npp.Polynomial) + +assert_type(PS_poly + 5, npp.Polynomial) +assert_type(PS_poly - 5, npp.Polynomial) +assert_type(PS_poly * 5, npp.Polynomial) +assert_type(PS_poly / 5, npp.Polynomial) +assert_type(PS_poly // 5, npp.Polynomial) +assert_type(PS_poly % 5, npp.Polynomial) + +assert_type(PS_poly + PS_leg, npp.Polynomial) +assert_type(PS_poly - PS_leg, npp.Polynomial) +assert_type(PS_poly * PS_leg, npp.Polynomial) +assert_type(PS_poly / PS_leg, npp.Polynomial) +assert_type(PS_poly // PS_leg, npp.Polynomial) +assert_type(PS_poly % PS_leg, npp.Polynomial) + +assert_type(5 + PS_poly, npp.Polynomial) +assert_type(5 - PS_poly, npp.Polynomial) +assert_type(5 * PS_poly, npp.Polynomial) +assert_type(5 / PS_poly, npp.Polynomial) +assert_type(5 // PS_poly, npp.Polynomial) +assert_type(5 % PS_poly, npp.Polynomial) +assert_type(divmod(PS_poly, 5), tuple[npp.Polynomial, npp.Polynomial]) +assert_type(divmod(5, PS_poly), tuple[npp.Polynomial, npp.Polynomial]) + +assert_type(PS_poly**1, npp.Polynomial) +assert_type(PS_poly**1.0, npp.Polynomial) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/polynomial_polyutils.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/polynomial_polyutils.pyi new file mode 100644 index 0000000000000000000000000000000000000000..07d6c9d1af65805fbf0a9cebfb77e552fdb02ead --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/polynomial_polyutils.pyi @@ -0,0 +1,218 @@ +from collections.abc import Sequence +from decimal import Decimal +from fractions import Fraction +from typing import Literal as L, TypeAlias, assert_type + +import numpy as np +import numpy.polynomial.polyutils as pu +import numpy.typing as npt +from numpy.polynomial._polytypes import _Tuple2 + +_ArrFloat1D: TypeAlias = np.ndarray[tuple[int], np.dtype[np.floating]] +_ArrComplex1D: TypeAlias = np.ndarray[tuple[int], np.dtype[np.complexfloating]] +_ArrObject1D: TypeAlias = np.ndarray[tuple[int], np.dtype[np.object_]] + +_ArrFloat1D_2: TypeAlias = np.ndarray[tuple[L[2]], np.dtype[np.float64]] +_ArrComplex1D_2: TypeAlias = np.ndarray[tuple[L[2]], np.dtype[np.complex128]] +_ArrObject1D_2: TypeAlias = np.ndarray[tuple[L[2]], np.dtype[np.object_]] + +num_int: int +num_float: float +num_complex: complex +# will result in an `object_` dtype +num_object: Decimal | Fraction + +sct_int: np.int_ +sct_float: np.float64 +sct_complex: np.complex128 +sct_object: np.object_ # doesn't exist at runtime + +arr_int: npt.NDArray[np.int_] +arr_float: npt.NDArray[np.float64] +arr_complex: npt.NDArray[np.complex128] +arr_object: npt.NDArray[np.object_] + +seq_num_int: Sequence[int] +seq_num_float: Sequence[float] +seq_num_complex: Sequence[complex] +seq_num_object: Sequence[Decimal | Fraction] + +seq_sct_int: Sequence[np.int_] +seq_sct_float: Sequence[np.float64] +seq_sct_complex: Sequence[np.complex128] +seq_sct_object: Sequence[np.object_] + +seq_arr_int: Sequence[npt.NDArray[np.int_]] +seq_arr_float: Sequence[npt.NDArray[np.float64]] +seq_arr_complex: Sequence[npt.NDArray[np.complex128]] +seq_arr_object: Sequence[npt.NDArray[np.object_]] + +seq_seq_num_int: Sequence[Sequence[int]] +seq_seq_num_float: Sequence[Sequence[float]] +seq_seq_num_complex: Sequence[Sequence[complex]] +seq_seq_num_object: Sequence[Sequence[Decimal | Fraction]] + +seq_seq_sct_int: Sequence[Sequence[np.int_]] +seq_seq_sct_float: Sequence[Sequence[np.float64]] +seq_seq_sct_complex: Sequence[Sequence[np.complex128]] +seq_seq_sct_object: Sequence[Sequence[np.object_]] # doesn't exist at runtime + +# as_series + +assert_type(pu.as_series(arr_int), list[_ArrFloat1D]) +assert_type(pu.as_series(arr_float), list[_ArrFloat1D]) +assert_type(pu.as_series(arr_complex), list[_ArrComplex1D]) +assert_type(pu.as_series(arr_object), list[_ArrObject1D]) + +assert_type(pu.as_series(seq_num_int), list[_ArrFloat1D]) +assert_type(pu.as_series(seq_num_float), list[_ArrFloat1D]) +assert_type(pu.as_series(seq_num_complex), list[_ArrComplex1D]) +assert_type(pu.as_series(seq_num_object), list[_ArrObject1D]) + +assert_type(pu.as_series(seq_sct_int), list[_ArrFloat1D]) +assert_type(pu.as_series(seq_sct_float), list[_ArrFloat1D]) +assert_type(pu.as_series(seq_sct_complex), list[_ArrComplex1D]) +assert_type(pu.as_series(seq_sct_object), list[_ArrObject1D]) + +assert_type(pu.as_series(seq_arr_int), list[_ArrFloat1D]) +assert_type(pu.as_series(seq_arr_float), list[_ArrFloat1D]) +assert_type(pu.as_series(seq_arr_complex), list[_ArrComplex1D]) +assert_type(pu.as_series(seq_arr_object), list[_ArrObject1D]) + +assert_type(pu.as_series(seq_seq_num_int), list[_ArrFloat1D]) +assert_type(pu.as_series(seq_seq_num_float), list[_ArrFloat1D]) +assert_type(pu.as_series(seq_seq_num_complex), list[_ArrComplex1D]) +assert_type(pu.as_series(seq_seq_num_object), list[_ArrObject1D]) + +assert_type(pu.as_series(seq_seq_sct_int), list[_ArrFloat1D]) +assert_type(pu.as_series(seq_seq_sct_float), list[_ArrFloat1D]) +assert_type(pu.as_series(seq_seq_sct_complex), list[_ArrComplex1D]) +assert_type(pu.as_series(seq_seq_sct_object), list[_ArrObject1D]) + +# trimcoef + +assert_type(pu.trimcoef(num_int), _ArrFloat1D) +assert_type(pu.trimcoef(num_float), _ArrFloat1D) +assert_type(pu.trimcoef(num_complex), _ArrComplex1D) +assert_type(pu.trimcoef(num_object), _ArrObject1D) +assert_type(pu.trimcoef(num_object), _ArrObject1D) + +assert_type(pu.trimcoef(sct_int), _ArrFloat1D) +assert_type(pu.trimcoef(sct_float), _ArrFloat1D) +assert_type(pu.trimcoef(sct_complex), _ArrComplex1D) +assert_type(pu.trimcoef(sct_object), _ArrObject1D) + +assert_type(pu.trimcoef(arr_int), _ArrFloat1D) +assert_type(pu.trimcoef(arr_float), _ArrFloat1D) +assert_type(pu.trimcoef(arr_complex), _ArrComplex1D) +assert_type(pu.trimcoef(arr_object), _ArrObject1D) + +assert_type(pu.trimcoef(seq_num_int), _ArrFloat1D) +assert_type(pu.trimcoef(seq_num_float), _ArrFloat1D) +assert_type(pu.trimcoef(seq_num_complex), _ArrComplex1D) +assert_type(pu.trimcoef(seq_num_object), _ArrObject1D) + +assert_type(pu.trimcoef(seq_sct_int), _ArrFloat1D) +assert_type(pu.trimcoef(seq_sct_float), _ArrFloat1D) +assert_type(pu.trimcoef(seq_sct_complex), _ArrComplex1D) +assert_type(pu.trimcoef(seq_sct_object), _ArrObject1D) + +# getdomain + +assert_type(pu.getdomain(num_int), _ArrFloat1D_2) +assert_type(pu.getdomain(num_float), _ArrFloat1D_2) +assert_type(pu.getdomain(num_complex), _ArrComplex1D_2) +assert_type(pu.getdomain(num_object), _ArrObject1D_2) +assert_type(pu.getdomain(num_object), _ArrObject1D_2) + +assert_type(pu.getdomain(sct_int), _ArrFloat1D_2) +assert_type(pu.getdomain(sct_float), _ArrFloat1D_2) +assert_type(pu.getdomain(sct_complex), _ArrComplex1D_2) +assert_type(pu.getdomain(sct_object), _ArrObject1D_2) + +assert_type(pu.getdomain(arr_int), _ArrFloat1D_2) +assert_type(pu.getdomain(arr_float), _ArrFloat1D_2) +assert_type(pu.getdomain(arr_complex), _ArrComplex1D_2) +assert_type(pu.getdomain(arr_object), _ArrObject1D_2) + +assert_type(pu.getdomain(seq_num_int), _ArrFloat1D_2) +assert_type(pu.getdomain(seq_num_float), _ArrFloat1D_2) +assert_type(pu.getdomain(seq_num_complex), _ArrComplex1D_2) +assert_type(pu.getdomain(seq_num_object), _ArrObject1D_2) + +assert_type(pu.getdomain(seq_sct_int), _ArrFloat1D_2) +assert_type(pu.getdomain(seq_sct_float), _ArrFloat1D_2) +assert_type(pu.getdomain(seq_sct_complex), _ArrComplex1D_2) +assert_type(pu.getdomain(seq_sct_object), _ArrObject1D_2) + +# mapparms + +assert_type(pu.mapparms(seq_num_int, seq_num_int), _Tuple2[float]) +assert_type(pu.mapparms(seq_num_int, seq_num_float), _Tuple2[float]) +assert_type(pu.mapparms(seq_num_float, seq_num_float), _Tuple2[float]) +assert_type(pu.mapparms(seq_num_float, seq_num_complex), _Tuple2[complex]) +assert_type(pu.mapparms(seq_num_complex, seq_num_complex), _Tuple2[complex]) +assert_type(pu.mapparms(seq_num_complex, seq_num_object), _Tuple2[object]) +assert_type(pu.mapparms(seq_num_object, seq_num_object), _Tuple2[object]) + +assert_type(pu.mapparms(seq_sct_int, seq_sct_int), _Tuple2[np.floating]) +assert_type(pu.mapparms(seq_sct_int, seq_sct_float), _Tuple2[np.floating]) +assert_type(pu.mapparms(seq_sct_float, seq_sct_float), _Tuple2[float]) +assert_type(pu.mapparms(seq_sct_float, seq_sct_complex), _Tuple2[complex]) +assert_type(pu.mapparms(seq_sct_complex, seq_sct_complex), _Tuple2[complex]) +assert_type(pu.mapparms(seq_sct_complex, seq_sct_object), _Tuple2[object]) +assert_type(pu.mapparms(seq_sct_object, seq_sct_object), _Tuple2[object]) + +assert_type(pu.mapparms(arr_int, arr_int), _Tuple2[np.floating]) +assert_type(pu.mapparms(arr_int, arr_float), _Tuple2[np.floating]) +assert_type(pu.mapparms(arr_float, arr_float), _Tuple2[np.floating]) +assert_type(pu.mapparms(arr_float, arr_complex), _Tuple2[np.complexfloating]) +assert_type(pu.mapparms(arr_complex, arr_complex), _Tuple2[np.complexfloating]) +assert_type(pu.mapparms(arr_complex, arr_object), _Tuple2[object]) +assert_type(pu.mapparms(arr_object, arr_object), _Tuple2[object]) + +# mapdomain + +assert_type(pu.mapdomain(num_int, seq_num_int, seq_num_int), np.floating) +assert_type(pu.mapdomain(num_int, seq_num_int, seq_num_float), np.floating) +assert_type(pu.mapdomain(num_int, seq_num_float, seq_num_float), np.floating) +assert_type(pu.mapdomain(num_float, seq_num_float, seq_num_float), np.floating) +assert_type(pu.mapdomain(num_float, seq_num_float, seq_num_complex), np.complexfloating) +assert_type(pu.mapdomain(num_float, seq_num_complex, seq_num_complex), np.complexfloating) +assert_type(pu.mapdomain(num_complex, seq_num_complex, seq_num_complex), np.complexfloating) +assert_type(pu.mapdomain(num_complex, seq_num_complex, seq_num_object), object) +assert_type(pu.mapdomain(num_complex, seq_num_object, seq_num_object), object) +assert_type(pu.mapdomain(num_object, seq_num_object, seq_num_object), object) + +assert_type(pu.mapdomain(seq_num_int, seq_num_int, seq_num_int), _ArrFloat1D) +assert_type(pu.mapdomain(seq_num_int, seq_num_int, seq_num_float), _ArrFloat1D) +assert_type(pu.mapdomain(seq_num_int, seq_num_float, seq_num_float), _ArrFloat1D) +assert_type(pu.mapdomain(seq_num_float, seq_num_float, seq_num_float), _ArrFloat1D) +assert_type(pu.mapdomain(seq_num_float, seq_num_float, seq_num_complex), _ArrComplex1D) +assert_type(pu.mapdomain(seq_num_float, seq_num_complex, seq_num_complex), _ArrComplex1D) +assert_type(pu.mapdomain(seq_num_complex, seq_num_complex, seq_num_complex), _ArrComplex1D) +assert_type(pu.mapdomain(seq_num_complex, seq_num_complex, seq_num_object), _ArrObject1D) +assert_type(pu.mapdomain(seq_num_complex, seq_num_object, seq_num_object), _ArrObject1D) +assert_type(pu.mapdomain(seq_num_object, seq_num_object, seq_num_object), _ArrObject1D) + +assert_type(pu.mapdomain(seq_sct_int, seq_sct_int, seq_sct_int), _ArrFloat1D) +assert_type(pu.mapdomain(seq_sct_int, seq_sct_int, seq_sct_float), _ArrFloat1D) +assert_type(pu.mapdomain(seq_sct_int, seq_sct_float, seq_sct_float), _ArrFloat1D) +assert_type(pu.mapdomain(seq_sct_float, seq_sct_float, seq_sct_float), _ArrFloat1D) +assert_type(pu.mapdomain(seq_sct_float, seq_sct_float, seq_sct_complex), _ArrComplex1D) +assert_type(pu.mapdomain(seq_sct_float, seq_sct_complex, seq_sct_complex), _ArrComplex1D) +assert_type(pu.mapdomain(seq_sct_complex, seq_sct_complex, seq_sct_complex), _ArrComplex1D) +assert_type(pu.mapdomain(seq_sct_complex, seq_sct_complex, seq_sct_object), _ArrObject1D) +assert_type(pu.mapdomain(seq_sct_complex, seq_sct_object, seq_sct_object), _ArrObject1D) +assert_type(pu.mapdomain(seq_sct_object, seq_sct_object, seq_sct_object), _ArrObject1D) + +assert_type(pu.mapdomain(arr_int, arr_int, arr_int), _ArrFloat1D) +assert_type(pu.mapdomain(arr_int, arr_int, arr_float), _ArrFloat1D) +assert_type(pu.mapdomain(arr_int, arr_float, arr_float), _ArrFloat1D) +assert_type(pu.mapdomain(arr_float, arr_float, arr_float), _ArrFloat1D) +assert_type(pu.mapdomain(arr_float, arr_float, arr_complex), _ArrComplex1D) +assert_type(pu.mapdomain(arr_float, arr_complex, arr_complex), _ArrComplex1D) +assert_type(pu.mapdomain(arr_complex, arr_complex, arr_complex), _ArrComplex1D) +assert_type(pu.mapdomain(arr_complex, arr_complex, arr_object), _ArrObject1D) +assert_type(pu.mapdomain(arr_complex, arr_object, arr_object), _ArrObject1D) +assert_type(pu.mapdomain(arr_object, arr_object, arr_object), _ArrObject1D) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/polynomial_series.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/polynomial_series.pyi new file mode 100644 index 0000000000000000000000000000000000000000..3188ad9a123909449fb9f007035f243d8eba8b86 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/polynomial_series.pyi @@ -0,0 +1,138 @@ +from collections.abc import Sequence +from typing import Any, TypeAlias, assert_type + +import numpy as np +import numpy.polynomial as npp +import numpy.typing as npt + +_ArrFloat1D: TypeAlias = np.ndarray[tuple[int], np.dtype[np.floating]] +_ArrFloat1D64: TypeAlias = np.ndarray[tuple[int], np.dtype[np.float64]] +_ArrComplex1D: TypeAlias = np.ndarray[tuple[int], np.dtype[np.complexfloating]] +_ArrComplex1D128: TypeAlias = np.ndarray[tuple[int], np.dtype[np.complex128]] +_ArrObject1D: TypeAlias = np.ndarray[tuple[int], np.dtype[np.object_]] + +AR_b: npt.NDArray[np.bool] +AR_u4: npt.NDArray[np.uint32] +AR_i8: npt.NDArray[np.int64] +AR_f8: npt.NDArray[np.float64] +AR_c16: npt.NDArray[np.complex128] +AR_O: npt.NDArray[np.object_] + +PS_poly: npp.Polynomial +PS_cheb: npp.Chebyshev + +assert_type(npp.polynomial.polyroots(AR_f8), _ArrFloat1D64) +assert_type(npp.polynomial.polyroots(AR_c16), _ArrComplex1D128) +assert_type(npp.polynomial.polyroots(AR_O), _ArrObject1D) + +assert_type(npp.polynomial.polyfromroots(AR_f8), _ArrFloat1D) +assert_type(npp.polynomial.polyfromroots(AR_c16), _ArrComplex1D) +assert_type(npp.polynomial.polyfromroots(AR_O), _ArrObject1D) + +# assert_type(npp.polynomial.polyadd(AR_b, AR_b), NoReturn) +assert_type(npp.polynomial.polyadd(AR_u4, AR_b), _ArrFloat1D) +assert_type(npp.polynomial.polyadd(AR_i8, AR_i8), _ArrFloat1D) +assert_type(npp.polynomial.polyadd(AR_f8, AR_i8), _ArrFloat1D) +assert_type(npp.polynomial.polyadd(AR_i8, AR_c16), _ArrComplex1D) +assert_type(npp.polynomial.polyadd(AR_O, AR_O), _ArrObject1D) + +assert_type(npp.polynomial.polymulx(AR_u4), _ArrFloat1D) +assert_type(npp.polynomial.polymulx(AR_i8), _ArrFloat1D) +assert_type(npp.polynomial.polymulx(AR_f8), _ArrFloat1D) +assert_type(npp.polynomial.polymulx(AR_c16), _ArrComplex1D) +assert_type(npp.polynomial.polymulx(AR_O), _ArrObject1D) + +assert_type(npp.polynomial.polypow(AR_u4, 2), _ArrFloat1D) +assert_type(npp.polynomial.polypow(AR_i8, 2), _ArrFloat1D) +assert_type(npp.polynomial.polypow(AR_f8, 2), _ArrFloat1D) +assert_type(npp.polynomial.polypow(AR_c16, 2), _ArrComplex1D) +assert_type(npp.polynomial.polypow(AR_O, 2), _ArrObject1D) + +# assert_type(npp.polynomial.polyder(PS_poly), npt.NDArray[np.object_]) +assert_type(npp.polynomial.polyder(AR_f8), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyder(AR_c16), npt.NDArray[np.complexfloating]) +assert_type(npp.polynomial.polyder(AR_O, m=2), npt.NDArray[np.object_]) + +# assert_type(npp.polynomial.polyint(PS_poly), npt.NDArray[np.object_]) +assert_type(npp.polynomial.polyint(AR_f8), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyint(AR_f8, k=AR_c16), npt.NDArray[np.complexfloating]) +assert_type(npp.polynomial.polyint(AR_O, m=2), npt.NDArray[np.object_]) + +assert_type(npp.polynomial.polyval(AR_b, AR_b), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval(AR_u4, AR_b), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval(AR_i8, AR_i8), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval(AR_f8, AR_i8), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval(AR_i8, AR_c16), npt.NDArray[np.complexfloating]) +assert_type(npp.polynomial.polyval(AR_O, AR_O), npt.NDArray[np.object_]) + +assert_type(npp.polynomial.polyval2d(AR_b, AR_b, AR_b), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval2d(AR_u4, AR_u4, AR_b), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval2d(AR_i8, AR_i8, AR_i8), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval2d(AR_f8, AR_f8, AR_i8), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval2d(AR_i8, AR_i8, AR_c16), npt.NDArray[np.complexfloating]) +assert_type(npp.polynomial.polyval2d(AR_O, AR_O, AR_O), npt.NDArray[np.object_]) + +assert_type(npp.polynomial.polyval3d(AR_b, AR_b, AR_b, AR_b), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval3d(AR_u4, AR_u4, AR_u4, AR_b), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval3d(AR_i8, AR_i8, AR_i8, AR_i8), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval3d(AR_f8, AR_f8, AR_f8, AR_i8), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyval3d(AR_i8, AR_i8, AR_i8, AR_c16), npt.NDArray[np.complexfloating]) +assert_type(npp.polynomial.polyval3d(AR_O, AR_O, AR_O, AR_O), npt.NDArray[np.object_]) + +assert_type(npp.polynomial.polyvalfromroots(AR_b, AR_b), npt.NDArray[np.float64 | Any]) +assert_type(npp.polynomial.polyvalfromroots(AR_u4, AR_b), npt.NDArray[np.float64 | Any]) +assert_type(npp.polynomial.polyvalfromroots(AR_i8, AR_i8), npt.NDArray[np.float64 | Any]) +assert_type(npp.polynomial.polyvalfromroots(AR_f8, AR_i8), npt.NDArray[np.float64 | Any]) +assert_type(npp.polynomial.polyvalfromroots(AR_i8, AR_c16), npt.NDArray[np.complex128 | Any]) +assert_type(npp.polynomial.polyvalfromroots(AR_O, AR_O), npt.NDArray[np.object_ | Any]) + +assert_type(npp.polynomial.polyvander(AR_f8, 3), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyvander(AR_c16, 3), npt.NDArray[np.complexfloating]) +assert_type(npp.polynomial.polyvander(AR_O, 3), npt.NDArray[np.object_]) + +assert_type(npp.polynomial.polyvander2d(AR_f8, AR_f8, [4, 2]), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyvander2d(AR_c16, AR_c16, [4, 2]), npt.NDArray[np.complexfloating]) +assert_type(npp.polynomial.polyvander2d(AR_O, AR_O, [4, 2]), npt.NDArray[np.object_]) + +assert_type(npp.polynomial.polyvander3d(AR_f8, AR_f8, AR_f8, [4, 3, 2]), npt.NDArray[np.floating]) +assert_type(npp.polynomial.polyvander3d(AR_c16, AR_c16, AR_c16, [4, 3, 2]), npt.NDArray[np.complexfloating]) +assert_type(npp.polynomial.polyvander3d(AR_O, AR_O, AR_O, [4, 3, 2]), npt.NDArray[np.object_]) + +assert_type( + npp.polynomial.polyfit(AR_f8, AR_f8, 2), + npt.NDArray[np.floating], +) +assert_type( + npp.polynomial.polyfit(AR_f8, AR_i8, 1, full=True), + tuple[npt.NDArray[np.floating], Sequence[np.inexact | np.int32]], +) +assert_type( + npp.polynomial.polyfit(AR_c16, AR_f8, 2), + npt.NDArray[np.complexfloating], +) +assert_type( + npp.polynomial.polyfit(AR_f8, AR_c16, 1, full=True)[0], + npt.NDArray[np.complexfloating], +) + +assert_type(npp.chebyshev.chebgauss(2), tuple[_ArrFloat1D64, _ArrFloat1D64]) + +assert_type(npp.chebyshev.chebweight(AR_f8), npt.NDArray[np.float64]) +assert_type(npp.chebyshev.chebweight(AR_c16), npt.NDArray[np.complex128]) +assert_type(npp.chebyshev.chebweight(AR_O), npt.NDArray[np.object_]) + +assert_type(npp.chebyshev.poly2cheb(AR_f8), _ArrFloat1D) +assert_type(npp.chebyshev.poly2cheb(AR_c16), _ArrComplex1D) +assert_type(npp.chebyshev.poly2cheb(AR_O), _ArrObject1D) + +assert_type(npp.chebyshev.cheb2poly(AR_f8), _ArrFloat1D) +assert_type(npp.chebyshev.cheb2poly(AR_c16), _ArrComplex1D) +assert_type(npp.chebyshev.cheb2poly(AR_O), _ArrObject1D) + +assert_type(npp.chebyshev.chebpts1(6), _ArrFloat1D64) +assert_type(npp.chebyshev.chebpts2(6), _ArrFloat1D64) + +assert_type( + npp.chebyshev.chebinterpolate(np.tanh, 3), + npt.NDArray[np.float64 | np.complex128 | np.object_], +) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/random.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/random.pyi new file mode 100644 index 0000000000000000000000000000000000000000..e188eb02893f06faf35b1b5265c83dc24f1d84c9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/random.pyi @@ -0,0 +1,1546 @@ +import threading +from collections.abc import Sequence +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt +from numpy.random._generator import Generator +from numpy.random._mt19937 import MT19937 +from numpy.random._pcg64 import PCG64 +from numpy.random._philox import Philox +from numpy.random._sfc64 import SFC64 +from numpy.random.bit_generator import SeedlessSeedSequence, SeedSequence + +def_rng = np.random.default_rng() +seed_seq = np.random.SeedSequence() +mt19937 = np.random.MT19937() +pcg64 = np.random.PCG64() +sfc64 = np.random.SFC64() +philox = np.random.Philox() +seedless_seq = SeedlessSeedSequence() + +assert_type(def_rng, Generator) +assert_type(mt19937, MT19937) +assert_type(pcg64, PCG64) +assert_type(sfc64, SFC64) +assert_type(philox, Philox) +assert_type(seed_seq, SeedSequence) +assert_type(seedless_seq, SeedlessSeedSequence) + +mt19937_jumped = mt19937.jumped() +mt19937_jumped3 = mt19937.jumped(3) +mt19937_raw = mt19937.random_raw() +mt19937_raw_arr = mt19937.random_raw(5) + +assert_type(mt19937_jumped, MT19937) +assert_type(mt19937_jumped3, MT19937) +assert_type(mt19937_raw, int) +assert_type(mt19937_raw_arr, npt.NDArray[np.uint64]) +assert_type(mt19937.lock, threading.Lock) + +pcg64_jumped = pcg64.jumped() +pcg64_jumped3 = pcg64.jumped(3) +pcg64_adv = pcg64.advance(3) +pcg64_raw = pcg64.random_raw() +pcg64_raw_arr = pcg64.random_raw(5) + +assert_type(pcg64_jumped, PCG64) +assert_type(pcg64_jumped3, PCG64) +assert_type(pcg64_adv, PCG64) +assert_type(pcg64_raw, int) +assert_type(pcg64_raw_arr, npt.NDArray[np.uint64]) +assert_type(pcg64.lock, threading.Lock) + +philox_jumped = philox.jumped() +philox_jumped3 = philox.jumped(3) +philox_adv = philox.advance(3) +philox_raw = philox.random_raw() +philox_raw_arr = philox.random_raw(5) + +assert_type(philox_jumped, Philox) +assert_type(philox_jumped3, Philox) +assert_type(philox_adv, Philox) +assert_type(philox_raw, int) +assert_type(philox_raw_arr, npt.NDArray[np.uint64]) +assert_type(philox.lock, threading.Lock) + +sfc64_raw = sfc64.random_raw() +sfc64_raw_arr = sfc64.random_raw(5) + +assert_type(sfc64_raw, int) +assert_type(sfc64_raw_arr, npt.NDArray[np.uint64]) +assert_type(sfc64.lock, threading.Lock) + +assert_type(seed_seq.pool, npt.NDArray[np.uint32]) +assert_type(seed_seq.entropy, int | Sequence[int] | None) +assert_type(seed_seq.spawn(1), list[np.random.SeedSequence]) +assert_type(seed_seq.generate_state(8, "uint32"), npt.NDArray[np.uint32 | np.uint64]) +assert_type(seed_seq.generate_state(8, "uint64"), npt.NDArray[np.uint32 | np.uint64]) + +def_gen: np.random.Generator = np.random.default_rng() + +D_arr_0p1: npt.NDArray[np.float64] = np.array([0.1]) +D_arr_0p5: npt.NDArray[np.float64] = np.array([0.5]) +D_arr_0p9: npt.NDArray[np.float64] = np.array([0.9]) +D_arr_1p5: npt.NDArray[np.float64] = np.array([1.5]) +I_arr_10: npt.NDArray[np.int_] = np.array([10], dtype=np.int_) +I_arr_20: npt.NDArray[np.int_] = np.array([20], dtype=np.int_) +D_arr_like_0p1: list[float] = [0.1] +D_arr_like_0p5: list[float] = [0.5] +D_arr_like_0p9: list[float] = [0.9] +D_arr_like_1p5: list[float] = [1.5] +I_arr_like_10: list[int] = [10] +I_arr_like_20: list[int] = [20] +D_2D_like: list[list[float]] = [[1, 2], [2, 3], [3, 4], [4, 5.1]] +D_2D: npt.NDArray[np.float64] = np.array(D_2D_like) +S_out: npt.NDArray[np.float32] = np.empty(1, dtype=np.float32) +D_out: npt.NDArray[np.float64] = np.empty(1) + +assert_type(def_gen.standard_normal(), float) +assert_type(def_gen.standard_normal(dtype=np.float32), float) +assert_type(def_gen.standard_normal(dtype="float32"), float) +assert_type(def_gen.standard_normal(dtype="double"), float) +assert_type(def_gen.standard_normal(dtype=np.float64), float) +assert_type(def_gen.standard_normal(size=None), float) +assert_type(def_gen.standard_normal(size=1), npt.NDArray[np.float64]) +assert_type(def_gen.standard_normal(size=1, dtype=np.float32), npt.NDArray[np.float32]) +assert_type(def_gen.standard_normal(size=1, dtype="f4"), npt.NDArray[np.float32]) +assert_type(def_gen.standard_normal(size=1, dtype="float32", out=S_out), npt.NDArray[np.float32]) +assert_type(def_gen.standard_normal(dtype=np.float32, out=S_out), npt.NDArray[np.float32]) +assert_type(def_gen.standard_normal(size=1, dtype=np.float64), npt.NDArray[np.float64]) +assert_type(def_gen.standard_normal(size=1, dtype="float64"), npt.NDArray[np.float64]) +assert_type(def_gen.standard_normal(size=1, dtype="f8"), npt.NDArray[np.float64]) +assert_type(def_gen.standard_normal(out=D_out), npt.NDArray[np.float64]) +assert_type(def_gen.standard_normal(size=1, dtype="float64"), npt.NDArray[np.float64]) +assert_type(def_gen.standard_normal(size=1, dtype="float64", out=D_out), npt.NDArray[np.float64]) + +assert_type(def_gen.random(), float) +assert_type(def_gen.random(dtype=np.float32), float) +assert_type(def_gen.random(dtype="float32"), float) +assert_type(def_gen.random(dtype="double"), float) +assert_type(def_gen.random(dtype=np.float64), float) +assert_type(def_gen.random(size=None), float) +assert_type(def_gen.random(size=1), npt.NDArray[np.float64]) +assert_type(def_gen.random(size=1, dtype=np.float32), npt.NDArray[np.float32]) +assert_type(def_gen.random(size=1, dtype="f4"), npt.NDArray[np.float32]) +assert_type(def_gen.random(size=1, dtype="float32", out=S_out), npt.NDArray[np.float32]) +assert_type(def_gen.random(dtype=np.float32, out=S_out), npt.NDArray[np.float32]) +assert_type(def_gen.random(size=1, dtype=np.float64), npt.NDArray[np.float64]) +assert_type(def_gen.random(size=1, dtype="float64"), npt.NDArray[np.float64]) +assert_type(def_gen.random(size=1, dtype="f8"), npt.NDArray[np.float64]) +assert_type(def_gen.random(out=D_out), npt.NDArray[np.float64]) +assert_type(def_gen.random(size=1, dtype="float64"), npt.NDArray[np.float64]) +assert_type(def_gen.random(size=1, dtype="float64", out=D_out), npt.NDArray[np.float64]) + +assert_type(def_gen.standard_cauchy(), float) +assert_type(def_gen.standard_cauchy(size=None), float) +assert_type(def_gen.standard_cauchy(size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.standard_exponential(), float) +assert_type(def_gen.standard_exponential(method="inv"), float) +assert_type(def_gen.standard_exponential(dtype=np.float32), float) +assert_type(def_gen.standard_exponential(dtype="float32"), float) +assert_type(def_gen.standard_exponential(dtype="double"), float) +assert_type(def_gen.standard_exponential(dtype=np.float64), float) +assert_type(def_gen.standard_exponential(size=None), float) +assert_type(def_gen.standard_exponential(size=None, method="inv"), float) +assert_type(def_gen.standard_exponential(size=1, method="inv"), npt.NDArray[np.float64]) +assert_type(def_gen.standard_exponential(size=1, dtype=np.float32), npt.NDArray[np.float32]) +assert_type(def_gen.standard_exponential(size=1, dtype="f4", method="inv"), npt.NDArray[np.float32]) +assert_type(def_gen.standard_exponential(size=1, dtype="float32", out=S_out), npt.NDArray[np.float32]) +assert_type(def_gen.standard_exponential(dtype=np.float32, out=S_out), npt.NDArray[np.float32]) +assert_type(def_gen.standard_exponential(size=1, dtype=np.float64, method="inv"), npt.NDArray[np.float64]) +assert_type(def_gen.standard_exponential(size=1, dtype="float64"), npt.NDArray[np.float64]) +assert_type(def_gen.standard_exponential(size=1, dtype="f8"), npt.NDArray[np.float64]) +assert_type(def_gen.standard_exponential(out=D_out), npt.NDArray[np.float64]) +assert_type(def_gen.standard_exponential(size=1, dtype="float64"), npt.NDArray[np.float64]) +assert_type(def_gen.standard_exponential(size=1, dtype="float64", out=D_out), npt.NDArray[np.float64]) + +assert_type(def_gen.zipf(1.5), int) +assert_type(def_gen.zipf(1.5, size=None), int) +assert_type(def_gen.zipf(1.5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.zipf(D_arr_1p5), npt.NDArray[np.int64]) +assert_type(def_gen.zipf(D_arr_1p5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.zipf(D_arr_like_1p5), npt.NDArray[np.int64]) +assert_type(def_gen.zipf(D_arr_like_1p5, size=1), npt.NDArray[np.int64]) + +assert_type(def_gen.weibull(0.5), float) +assert_type(def_gen.weibull(0.5, size=None), float) +assert_type(def_gen.weibull(0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.weibull(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.weibull(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.weibull(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.weibull(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.standard_t(0.5), float) +assert_type(def_gen.standard_t(0.5, size=None), float) +assert_type(def_gen.standard_t(0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.standard_t(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.standard_t(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.standard_t(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.standard_t(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.poisson(0.5), int) +assert_type(def_gen.poisson(0.5, size=None), int) +assert_type(def_gen.poisson(0.5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.poisson(D_arr_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.poisson(D_arr_0p5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.poisson(D_arr_like_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.poisson(D_arr_like_0p5, size=1), npt.NDArray[np.int64]) + +assert_type(def_gen.power(0.5), float) +assert_type(def_gen.power(0.5, size=None), float) +assert_type(def_gen.power(0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.power(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.power(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.power(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.power(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.pareto(0.5), float) +assert_type(def_gen.pareto(0.5, size=None), float) +assert_type(def_gen.pareto(0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.pareto(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.pareto(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.pareto(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.pareto(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.chisquare(0.5), float) +assert_type(def_gen.chisquare(0.5, size=None), float) +assert_type(def_gen.chisquare(0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.chisquare(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.chisquare(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.chisquare(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.chisquare(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.exponential(0.5), float) +assert_type(def_gen.exponential(0.5, size=None), float) +assert_type(def_gen.exponential(0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.exponential(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.exponential(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.exponential(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.exponential(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.geometric(0.5), int) +assert_type(def_gen.geometric(0.5, size=None), int) +assert_type(def_gen.geometric(0.5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.geometric(D_arr_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.geometric(D_arr_0p5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.geometric(D_arr_like_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.geometric(D_arr_like_0p5, size=1), npt.NDArray[np.int64]) + +assert_type(def_gen.logseries(0.5), int) +assert_type(def_gen.logseries(0.5, size=None), int) +assert_type(def_gen.logseries(0.5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.logseries(D_arr_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.logseries(D_arr_0p5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.logseries(D_arr_like_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.logseries(D_arr_like_0p5, size=1), npt.NDArray[np.int64]) + +assert_type(def_gen.rayleigh(0.5), float) +assert_type(def_gen.rayleigh(0.5, size=None), float) +assert_type(def_gen.rayleigh(0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.rayleigh(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.rayleigh(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.rayleigh(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.rayleigh(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.standard_gamma(0.5), float) +assert_type(def_gen.standard_gamma(0.5, size=None), float) +assert_type(def_gen.standard_gamma(0.5, dtype="float32"), float) +assert_type(def_gen.standard_gamma(0.5, size=None, dtype="float32"), float) +assert_type(def_gen.standard_gamma(0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.standard_gamma(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.standard_gamma(D_arr_0p5, dtype="f4"), npt.NDArray[np.float32]) +assert_type(def_gen.standard_gamma(0.5, size=1, dtype="float32", out=S_out), npt.NDArray[np.float32]) +assert_type(def_gen.standard_gamma(D_arr_0p5, dtype=np.float32, out=S_out), npt.NDArray[np.float32]) +assert_type(def_gen.standard_gamma(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.standard_gamma(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.standard_gamma(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.standard_gamma(0.5, out=D_out), npt.NDArray[np.float64]) +assert_type(def_gen.standard_gamma(D_arr_like_0p5, out=D_out), npt.NDArray[np.float64]) +assert_type(def_gen.standard_gamma(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.standard_gamma(D_arr_like_0p5, size=1, out=D_out, dtype=np.float64), npt.NDArray[np.float64]) + +assert_type(def_gen.vonmises(0.5, 0.5), float) +assert_type(def_gen.vonmises(0.5, 0.5, size=None), float) +assert_type(def_gen.vonmises(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.vonmises(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.vonmises(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.vonmises(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.vonmises(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.vonmises(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.vonmises(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.vonmises(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.vonmises(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.vonmises(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.vonmises(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.wald(0.5, 0.5), float) +assert_type(def_gen.wald(0.5, 0.5, size=None), float) +assert_type(def_gen.wald(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.wald(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.wald(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.wald(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.wald(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.wald(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.wald(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.wald(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.wald(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.wald(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.wald(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.uniform(0.5, 0.5), float) +assert_type(def_gen.uniform(0.5, 0.5, size=None), float) +assert_type(def_gen.uniform(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.uniform(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.uniform(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.uniform(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.uniform(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.uniform(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.uniform(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.uniform(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.uniform(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.uniform(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.uniform(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.beta(0.5, 0.5), float) +assert_type(def_gen.beta(0.5, 0.5, size=None), float) +assert_type(def_gen.beta(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.beta(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.beta(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.beta(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.beta(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.beta(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.beta(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.beta(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.beta(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.beta(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.beta(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.f(0.5, 0.5), float) +assert_type(def_gen.f(0.5, 0.5, size=None), float) +assert_type(def_gen.f(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.f(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.f(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.f(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.f(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.f(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.f(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.f(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.f(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.f(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.f(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.gamma(0.5, 0.5), float) +assert_type(def_gen.gamma(0.5, 0.5, size=None), float) +assert_type(def_gen.gamma(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.gamma(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.gamma(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.gamma(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.gamma(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.gamma(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.gamma(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.gamma(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.gamma(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.gamma(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.gamma(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.gumbel(0.5, 0.5), float) +assert_type(def_gen.gumbel(0.5, 0.5, size=None), float) +assert_type(def_gen.gumbel(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.gumbel(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.gumbel(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.gumbel(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.gumbel(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.gumbel(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.gumbel(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.gumbel(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.gumbel(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.gumbel(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.gumbel(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.laplace(0.5, 0.5), float) +assert_type(def_gen.laplace(0.5, 0.5, size=None), float) +assert_type(def_gen.laplace(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.laplace(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.laplace(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.laplace(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.laplace(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.laplace(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.laplace(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.laplace(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.laplace(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.laplace(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.laplace(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.logistic(0.5, 0.5), float) +assert_type(def_gen.logistic(0.5, 0.5, size=None), float) +assert_type(def_gen.logistic(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.logistic(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.logistic(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.logistic(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.logistic(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.logistic(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.logistic(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.logistic(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.logistic(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.logistic(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.logistic(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.lognormal(0.5, 0.5), float) +assert_type(def_gen.lognormal(0.5, 0.5, size=None), float) +assert_type(def_gen.lognormal(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.lognormal(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.lognormal(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.lognormal(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.lognormal(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.lognormal(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.lognormal(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.lognormal(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.lognormal(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.lognormal(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.lognormal(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.noncentral_chisquare(0.5, 0.5), float) +assert_type(def_gen.noncentral_chisquare(0.5, 0.5, size=None), float) +assert_type(def_gen.noncentral_chisquare(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_chisquare(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_chisquare(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_chisquare(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_chisquare(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_chisquare(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_chisquare(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_chisquare(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_chisquare(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_chisquare(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_chisquare(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.normal(0.5, 0.5), float) +assert_type(def_gen.normal(0.5, 0.5, size=None), float) +assert_type(def_gen.normal(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.normal(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.normal(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.normal(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.normal(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.normal(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(def_gen.normal(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.normal(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.normal(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(def_gen.normal(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.normal(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.triangular(0.1, 0.5, 0.9), float) +assert_type(def_gen.triangular(0.1, 0.5, 0.9, size=None), float) +assert_type(def_gen.triangular(0.1, 0.5, 0.9, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.triangular(D_arr_0p1, 0.5, 0.9), npt.NDArray[np.float64]) +assert_type(def_gen.triangular(0.1, D_arr_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(def_gen.triangular(D_arr_0p1, 0.5, D_arr_like_0p9, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.triangular(0.1, D_arr_0p5, 0.9, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.triangular(D_arr_like_0p1, 0.5, D_arr_0p9), npt.NDArray[np.float64]) +assert_type(def_gen.triangular(0.5, D_arr_like_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(def_gen.triangular(D_arr_0p1, D_arr_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(def_gen.triangular(D_arr_like_0p1, D_arr_like_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(def_gen.triangular(D_arr_0p1, D_arr_0p5, D_arr_0p9, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.triangular(D_arr_like_0p1, D_arr_like_0p5, D_arr_like_0p9, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.noncentral_f(0.1, 0.5, 0.9), float) +assert_type(def_gen.noncentral_f(0.1, 0.5, 0.9, size=None), float) +assert_type(def_gen.noncentral_f(0.1, 0.5, 0.9, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_f(D_arr_0p1, 0.5, 0.9), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_f(0.1, D_arr_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_f(D_arr_0p1, 0.5, D_arr_like_0p9, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_f(0.1, D_arr_0p5, 0.9, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_f(D_arr_like_0p1, 0.5, D_arr_0p9), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_f(0.5, D_arr_like_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_f(D_arr_0p1, D_arr_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_f(D_arr_like_0p1, D_arr_like_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_f(D_arr_0p1, D_arr_0p5, D_arr_0p9, size=1), npt.NDArray[np.float64]) +assert_type(def_gen.noncentral_f(D_arr_like_0p1, D_arr_like_0p5, D_arr_like_0p9, size=1), npt.NDArray[np.float64]) + +assert_type(def_gen.binomial(10, 0.5), int) +assert_type(def_gen.binomial(10, 0.5, size=None), int) +assert_type(def_gen.binomial(10, 0.5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.binomial(I_arr_10, 0.5), npt.NDArray[np.int64]) +assert_type(def_gen.binomial(10, D_arr_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.binomial(I_arr_10, 0.5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.binomial(10, D_arr_0p5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.binomial(I_arr_like_10, 0.5), npt.NDArray[np.int64]) +assert_type(def_gen.binomial(10, D_arr_like_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.binomial(I_arr_10, D_arr_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.binomial(I_arr_like_10, D_arr_like_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.binomial(I_arr_10, D_arr_0p5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.binomial(I_arr_like_10, D_arr_like_0p5, size=1), npt.NDArray[np.int64]) + +assert_type(def_gen.negative_binomial(10, 0.5), int) +assert_type(def_gen.negative_binomial(10, 0.5, size=None), int) +assert_type(def_gen.negative_binomial(10, 0.5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.negative_binomial(I_arr_10, 0.5), npt.NDArray[np.int64]) +assert_type(def_gen.negative_binomial(10, D_arr_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.negative_binomial(I_arr_10, 0.5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.negative_binomial(10, D_arr_0p5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.negative_binomial(I_arr_like_10, 0.5), npt.NDArray[np.int64]) +assert_type(def_gen.negative_binomial(10, D_arr_like_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.negative_binomial(I_arr_10, D_arr_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.negative_binomial(I_arr_like_10, D_arr_like_0p5), npt.NDArray[np.int64]) +assert_type(def_gen.negative_binomial(I_arr_10, D_arr_0p5, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.negative_binomial(I_arr_like_10, D_arr_like_0p5, size=1), npt.NDArray[np.int64]) + +assert_type(def_gen.hypergeometric(20, 20, 10), int) +assert_type(def_gen.hypergeometric(20, 20, 10, size=None), int) +assert_type(def_gen.hypergeometric(20, 20, 10, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.hypergeometric(I_arr_20, 20, 10), npt.NDArray[np.int64]) +assert_type(def_gen.hypergeometric(20, I_arr_20, 10), npt.NDArray[np.int64]) +assert_type(def_gen.hypergeometric(I_arr_20, 20, I_arr_like_10, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.hypergeometric(20, I_arr_20, 10, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.hypergeometric(I_arr_like_20, 20, I_arr_10), npt.NDArray[np.int64]) +assert_type(def_gen.hypergeometric(20, I_arr_like_20, 10), npt.NDArray[np.int64]) +assert_type(def_gen.hypergeometric(I_arr_20, I_arr_20, 10), npt.NDArray[np.int64]) +assert_type(def_gen.hypergeometric(I_arr_like_20, I_arr_like_20, 10), npt.NDArray[np.int64]) +assert_type(def_gen.hypergeometric(I_arr_20, I_arr_20, I_arr_10, size=1), npt.NDArray[np.int64]) +assert_type(def_gen.hypergeometric(I_arr_like_20, I_arr_like_20, I_arr_like_10, size=1), npt.NDArray[np.int64]) + +I_int64_100: npt.NDArray[np.int64] = np.array([100], dtype=np.int64) + +assert_type(def_gen.integers(0, 100), np.int64) +assert_type(def_gen.integers(100), np.int64) +assert_type(def_gen.integers([100]), npt.NDArray[np.int64]) +assert_type(def_gen.integers(0, [100]), npt.NDArray[np.int64]) + +I_bool_low: npt.NDArray[np.bool] = np.array([0], dtype=np.bool) +I_bool_low_like: list[int] = [0] +I_bool_high_open: npt.NDArray[np.bool] = np.array([1], dtype=np.bool) +I_bool_high_closed: npt.NDArray[np.bool] = np.array([1], dtype=np.bool) + +assert_type(def_gen.integers(2, dtype=bool), bool) +assert_type(def_gen.integers(0, 2, dtype=bool), bool) +assert_type(def_gen.integers(1, dtype=bool, endpoint=True), bool) +assert_type(def_gen.integers(0, 1, dtype=bool, endpoint=True), bool) +assert_type(def_gen.integers(I_bool_low_like, 1, dtype=bool, endpoint=True), npt.NDArray[np.bool]) +assert_type(def_gen.integers(I_bool_high_open, dtype=bool), npt.NDArray[np.bool]) +assert_type(def_gen.integers(I_bool_low, I_bool_high_open, dtype=bool), npt.NDArray[np.bool]) +assert_type(def_gen.integers(0, I_bool_high_open, dtype=bool), npt.NDArray[np.bool]) +assert_type(def_gen.integers(I_bool_high_closed, dtype=bool, endpoint=True), npt.NDArray[np.bool]) +assert_type(def_gen.integers(I_bool_low, I_bool_high_closed, dtype=bool, endpoint=True), npt.NDArray[np.bool]) +assert_type(def_gen.integers(0, I_bool_high_closed, dtype=bool, endpoint=True), npt.NDArray[np.bool]) + +assert_type(def_gen.integers(2, dtype=np.bool), np.bool) +assert_type(def_gen.integers(0, 2, dtype=np.bool), np.bool) +assert_type(def_gen.integers(1, dtype=np.bool, endpoint=True), np.bool) +assert_type(def_gen.integers(0, 1, dtype=np.bool, endpoint=True), np.bool) +assert_type(def_gen.integers(I_bool_low_like, 1, dtype=np.bool, endpoint=True), npt.NDArray[np.bool]) +assert_type(def_gen.integers(I_bool_high_open, dtype=np.bool), npt.NDArray[np.bool]) +assert_type(def_gen.integers(I_bool_low, I_bool_high_open, dtype=np.bool), npt.NDArray[np.bool]) +assert_type(def_gen.integers(0, I_bool_high_open, dtype=np.bool), npt.NDArray[np.bool]) +assert_type(def_gen.integers(I_bool_high_closed, dtype=np.bool, endpoint=True), npt.NDArray[np.bool]) +assert_type(def_gen.integers(I_bool_low, I_bool_high_closed, dtype=np.bool, endpoint=True), npt.NDArray[np.bool]) +assert_type(def_gen.integers(0, I_bool_high_closed, dtype=np.bool, endpoint=True), npt.NDArray[np.bool]) + +I_u1_low: npt.NDArray[np.uint8] = np.array([0], dtype=np.uint8) +I_u1_low_like: list[int] = [0] +I_u1_high_open: npt.NDArray[np.uint8] = np.array([255], dtype=np.uint8) +I_u1_high_closed: npt.NDArray[np.uint8] = np.array([255], dtype=np.uint8) + +assert_type(def_gen.integers(256, dtype="u1"), np.uint8) +assert_type(def_gen.integers(0, 256, dtype="u1"), np.uint8) +assert_type(def_gen.integers(255, dtype="u1", endpoint=True), np.uint8) +assert_type(def_gen.integers(0, 255, dtype="u1", endpoint=True), np.uint8) +assert_type(def_gen.integers(I_u1_low_like, 255, dtype="u1", endpoint=True), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_high_open, dtype="u1"), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_low, I_u1_high_open, dtype="u1"), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(0, I_u1_high_open, dtype="u1"), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_high_closed, dtype="u1", endpoint=True), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_low, I_u1_high_closed, dtype="u1", endpoint=True), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(0, I_u1_high_closed, dtype="u1", endpoint=True), npt.NDArray[np.uint8]) + +assert_type(def_gen.integers(256, dtype="uint8"), np.uint8) +assert_type(def_gen.integers(0, 256, dtype="uint8"), np.uint8) +assert_type(def_gen.integers(255, dtype="uint8", endpoint=True), np.uint8) +assert_type(def_gen.integers(0, 255, dtype="uint8", endpoint=True), np.uint8) +assert_type(def_gen.integers(I_u1_low_like, 255, dtype="uint8", endpoint=True), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_high_open, dtype="uint8"), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_low, I_u1_high_open, dtype="uint8"), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(0, I_u1_high_open, dtype="uint8"), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_high_closed, dtype="uint8", endpoint=True), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_low, I_u1_high_closed, dtype="uint8", endpoint=True), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(0, I_u1_high_closed, dtype="uint8", endpoint=True), npt.NDArray[np.uint8]) + +assert_type(def_gen.integers(256, dtype=np.uint8), np.uint8) +assert_type(def_gen.integers(0, 256, dtype=np.uint8), np.uint8) +assert_type(def_gen.integers(255, dtype=np.uint8, endpoint=True), np.uint8) +assert_type(def_gen.integers(0, 255, dtype=np.uint8, endpoint=True), np.uint8) +assert_type(def_gen.integers(I_u1_low_like, 255, dtype=np.uint8, endpoint=True), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_high_open, dtype=np.uint8), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_low, I_u1_high_open, dtype=np.uint8), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(0, I_u1_high_open, dtype=np.uint8), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_high_closed, dtype=np.uint8, endpoint=True), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(I_u1_low, I_u1_high_closed, dtype=np.uint8, endpoint=True), npt.NDArray[np.uint8]) +assert_type(def_gen.integers(0, I_u1_high_closed, dtype=np.uint8, endpoint=True), npt.NDArray[np.uint8]) + +I_u2_low: npt.NDArray[np.uint16] = np.array([0], dtype=np.uint16) +I_u2_low_like: list[int] = [0] +I_u2_high_open: npt.NDArray[np.uint16] = np.array([65535], dtype=np.uint16) +I_u2_high_closed: npt.NDArray[np.uint16] = np.array([65535], dtype=np.uint16) + +assert_type(def_gen.integers(65536, dtype="u2"), np.uint16) +assert_type(def_gen.integers(0, 65536, dtype="u2"), np.uint16) +assert_type(def_gen.integers(65535, dtype="u2", endpoint=True), np.uint16) +assert_type(def_gen.integers(0, 65535, dtype="u2", endpoint=True), np.uint16) +assert_type(def_gen.integers(I_u2_low_like, 65535, dtype="u2", endpoint=True), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_high_open, dtype="u2"), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_low, I_u2_high_open, dtype="u2"), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(0, I_u2_high_open, dtype="u2"), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_high_closed, dtype="u2", endpoint=True), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_low, I_u2_high_closed, dtype="u2", endpoint=True), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(0, I_u2_high_closed, dtype="u2", endpoint=True), npt.NDArray[np.uint16]) + +assert_type(def_gen.integers(65536, dtype="uint16"), np.uint16) +assert_type(def_gen.integers(0, 65536, dtype="uint16"), np.uint16) +assert_type(def_gen.integers(65535, dtype="uint16", endpoint=True), np.uint16) +assert_type(def_gen.integers(0, 65535, dtype="uint16", endpoint=True), np.uint16) +assert_type(def_gen.integers(I_u2_low_like, 65535, dtype="uint16", endpoint=True), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_high_open, dtype="uint16"), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_low, I_u2_high_open, dtype="uint16"), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(0, I_u2_high_open, dtype="uint16"), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_high_closed, dtype="uint16", endpoint=True), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_low, I_u2_high_closed, dtype="uint16", endpoint=True), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(0, I_u2_high_closed, dtype="uint16", endpoint=True), npt.NDArray[np.uint16]) + +assert_type(def_gen.integers(65536, dtype=np.uint16), np.uint16) +assert_type(def_gen.integers(0, 65536, dtype=np.uint16), np.uint16) +assert_type(def_gen.integers(65535, dtype=np.uint16, endpoint=True), np.uint16) +assert_type(def_gen.integers(0, 65535, dtype=np.uint16, endpoint=True), np.uint16) +assert_type(def_gen.integers(I_u2_low_like, 65535, dtype=np.uint16, endpoint=True), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_high_open, dtype=np.uint16), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_low, I_u2_high_open, dtype=np.uint16), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(0, I_u2_high_open, dtype=np.uint16), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_high_closed, dtype=np.uint16, endpoint=True), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(I_u2_low, I_u2_high_closed, dtype=np.uint16, endpoint=True), npt.NDArray[np.uint16]) +assert_type(def_gen.integers(0, I_u2_high_closed, dtype=np.uint16, endpoint=True), npt.NDArray[np.uint16]) + +I_u4_low: npt.NDArray[np.uint32] = np.array([0], dtype=np.uint32) +I_u4_low_like: list[int] = [0] +I_u4_high_open: npt.NDArray[np.uint32] = np.array([4294967295], dtype=np.uint32) +I_u4_high_closed: npt.NDArray[np.uint32] = np.array([4294967295], dtype=np.uint32) + +assert_type(def_gen.integers(4294967296, dtype=np.int_), np.int_) +assert_type(def_gen.integers(0, 4294967296, dtype=np.int_), np.int_) +assert_type(def_gen.integers(4294967295, dtype=np.int_, endpoint=True), np.int_) +assert_type(def_gen.integers(0, 4294967295, dtype=np.int_, endpoint=True), np.int_) +assert_type(def_gen.integers(I_u4_low_like, 4294967295, dtype=np.int_, endpoint=True), npt.NDArray[np.int_]) +assert_type(def_gen.integers(I_u4_high_open, dtype=np.int_), npt.NDArray[np.int_]) +assert_type(def_gen.integers(I_u4_low, I_u4_high_open, dtype=np.int_), npt.NDArray[np.int_]) +assert_type(def_gen.integers(0, I_u4_high_open, dtype=np.int_), npt.NDArray[np.int_]) +assert_type(def_gen.integers(I_u4_high_closed, dtype=np.int_, endpoint=True), npt.NDArray[np.int_]) +assert_type(def_gen.integers(I_u4_low, I_u4_high_closed, dtype=np.int_, endpoint=True), npt.NDArray[np.int_]) +assert_type(def_gen.integers(0, I_u4_high_closed, dtype=np.int_, endpoint=True), npt.NDArray[np.int_]) + +assert_type(def_gen.integers(4294967296, dtype="u4"), np.uint32) +assert_type(def_gen.integers(0, 4294967296, dtype="u4"), np.uint32) +assert_type(def_gen.integers(4294967295, dtype="u4", endpoint=True), np.uint32) +assert_type(def_gen.integers(0, 4294967295, dtype="u4", endpoint=True), np.uint32) +assert_type(def_gen.integers(I_u4_low_like, 4294967295, dtype="u4", endpoint=True), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_high_open, dtype="u4"), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_low, I_u4_high_open, dtype="u4"), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(0, I_u4_high_open, dtype="u4"), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_high_closed, dtype="u4", endpoint=True), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_low, I_u4_high_closed, dtype="u4", endpoint=True), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(0, I_u4_high_closed, dtype="u4", endpoint=True), npt.NDArray[np.uint32]) + +assert_type(def_gen.integers(4294967296, dtype="uint32"), np.uint32) +assert_type(def_gen.integers(0, 4294967296, dtype="uint32"), np.uint32) +assert_type(def_gen.integers(4294967295, dtype="uint32", endpoint=True), np.uint32) +assert_type(def_gen.integers(0, 4294967295, dtype="uint32", endpoint=True), np.uint32) +assert_type(def_gen.integers(I_u4_low_like, 4294967295, dtype="uint32", endpoint=True), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_high_open, dtype="uint32"), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_low, I_u4_high_open, dtype="uint32"), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(0, I_u4_high_open, dtype="uint32"), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_high_closed, dtype="uint32", endpoint=True), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_low, I_u4_high_closed, dtype="uint32", endpoint=True), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(0, I_u4_high_closed, dtype="uint32", endpoint=True), npt.NDArray[np.uint32]) + +assert_type(def_gen.integers(4294967296, dtype=np.uint32), np.uint32) +assert_type(def_gen.integers(0, 4294967296, dtype=np.uint32), np.uint32) +assert_type(def_gen.integers(4294967295, dtype=np.uint32, endpoint=True), np.uint32) +assert_type(def_gen.integers(0, 4294967295, dtype=np.uint32, endpoint=True), np.uint32) +assert_type(def_gen.integers(I_u4_low_like, 4294967295, dtype=np.uint32, endpoint=True), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_high_open, dtype=np.uint32), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_low, I_u4_high_open, dtype=np.uint32), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(0, I_u4_high_open, dtype=np.uint32), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_high_closed, dtype=np.uint32, endpoint=True), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(I_u4_low, I_u4_high_closed, dtype=np.uint32, endpoint=True), npt.NDArray[np.uint32]) +assert_type(def_gen.integers(0, I_u4_high_closed, dtype=np.uint32, endpoint=True), npt.NDArray[np.uint32]) + +assert_type(def_gen.integers(4294967296, dtype=np.uint), np.uint) +assert_type(def_gen.integers(0, 4294967296, dtype=np.uint), np.uint) +assert_type(def_gen.integers(4294967295, dtype=np.uint, endpoint=True), np.uint) +assert_type(def_gen.integers(0, 4294967295, dtype=np.uint, endpoint=True), np.uint) +assert_type(def_gen.integers(I_u4_low_like, 4294967295, dtype=np.uint, endpoint=True), npt.NDArray[np.uint]) +assert_type(def_gen.integers(I_u4_high_open, dtype=np.uint), npt.NDArray[np.uint]) +assert_type(def_gen.integers(I_u4_low, I_u4_high_open, dtype=np.uint), npt.NDArray[np.uint]) +assert_type(def_gen.integers(0, I_u4_high_open, dtype=np.uint), npt.NDArray[np.uint]) +assert_type(def_gen.integers(I_u4_high_closed, dtype=np.uint, endpoint=True), npt.NDArray[np.uint]) +assert_type(def_gen.integers(I_u4_low, I_u4_high_closed, dtype=np.uint, endpoint=True), npt.NDArray[np.uint]) +assert_type(def_gen.integers(0, I_u4_high_closed, dtype=np.uint, endpoint=True), npt.NDArray[np.uint]) + +I_u8_low: npt.NDArray[np.uint64] = np.array([0], dtype=np.uint64) +I_u8_low_like: list[int] = [0] +I_u8_high_open: npt.NDArray[np.uint64] = np.array([18446744073709551615], dtype=np.uint64) +I_u8_high_closed: npt.NDArray[np.uint64] = np.array([18446744073709551615], dtype=np.uint64) + +assert_type(def_gen.integers(18446744073709551616, dtype="u8"), np.uint64) +assert_type(def_gen.integers(0, 18446744073709551616, dtype="u8"), np.uint64) +assert_type(def_gen.integers(18446744073709551615, dtype="u8", endpoint=True), np.uint64) +assert_type(def_gen.integers(0, 18446744073709551615, dtype="u8", endpoint=True), np.uint64) +assert_type(def_gen.integers(I_u8_low_like, 18446744073709551615, dtype="u8", endpoint=True), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_high_open, dtype="u8"), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_low, I_u8_high_open, dtype="u8"), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(0, I_u8_high_open, dtype="u8"), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_high_closed, dtype="u8", endpoint=True), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_low, I_u8_high_closed, dtype="u8", endpoint=True), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(0, I_u8_high_closed, dtype="u8", endpoint=True), npt.NDArray[np.uint64]) + +assert_type(def_gen.integers(18446744073709551616, dtype="uint64"), np.uint64) +assert_type(def_gen.integers(0, 18446744073709551616, dtype="uint64"), np.uint64) +assert_type(def_gen.integers(18446744073709551615, dtype="uint64", endpoint=True), np.uint64) +assert_type(def_gen.integers(0, 18446744073709551615, dtype="uint64", endpoint=True), np.uint64) +assert_type(def_gen.integers(I_u8_low_like, 18446744073709551615, dtype="uint64", endpoint=True), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_high_open, dtype="uint64"), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_low, I_u8_high_open, dtype="uint64"), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(0, I_u8_high_open, dtype="uint64"), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_high_closed, dtype="uint64", endpoint=True), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_low, I_u8_high_closed, dtype="uint64", endpoint=True), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(0, I_u8_high_closed, dtype="uint64", endpoint=True), npt.NDArray[np.uint64]) + +assert_type(def_gen.integers(18446744073709551616, dtype=np.uint64), np.uint64) +assert_type(def_gen.integers(0, 18446744073709551616, dtype=np.uint64), np.uint64) +assert_type(def_gen.integers(18446744073709551615, dtype=np.uint64, endpoint=True), np.uint64) +assert_type(def_gen.integers(0, 18446744073709551615, dtype=np.uint64, endpoint=True), np.uint64) +assert_type(def_gen.integers(I_u8_low_like, 18446744073709551615, dtype=np.uint64, endpoint=True), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_high_open, dtype=np.uint64), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_low, I_u8_high_open, dtype=np.uint64), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(0, I_u8_high_open, dtype=np.uint64), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_high_closed, dtype=np.uint64, endpoint=True), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(I_u8_low, I_u8_high_closed, dtype=np.uint64, endpoint=True), npt.NDArray[np.uint64]) +assert_type(def_gen.integers(0, I_u8_high_closed, dtype=np.uint64, endpoint=True), npt.NDArray[np.uint64]) + +I_i1_low: npt.NDArray[np.int8] = np.array([-128], dtype=np.int8) +I_i1_low_like: list[int] = [-128] +I_i1_high_open: npt.NDArray[np.int8] = np.array([127], dtype=np.int8) +I_i1_high_closed: npt.NDArray[np.int8] = np.array([127], dtype=np.int8) + +assert_type(def_gen.integers(128, dtype="i1"), np.int8) +assert_type(def_gen.integers(-128, 128, dtype="i1"), np.int8) +assert_type(def_gen.integers(127, dtype="i1", endpoint=True), np.int8) +assert_type(def_gen.integers(-128, 127, dtype="i1", endpoint=True), np.int8) +assert_type(def_gen.integers(I_i1_low_like, 127, dtype="i1", endpoint=True), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_high_open, dtype="i1"), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_low, I_i1_high_open, dtype="i1"), npt.NDArray[np.int8]) +assert_type(def_gen.integers(-128, I_i1_high_open, dtype="i1"), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_high_closed, dtype="i1", endpoint=True), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_low, I_i1_high_closed, dtype="i1", endpoint=True), npt.NDArray[np.int8]) +assert_type(def_gen.integers(-128, I_i1_high_closed, dtype="i1", endpoint=True), npt.NDArray[np.int8]) + +assert_type(def_gen.integers(128, dtype="int8"), np.int8) +assert_type(def_gen.integers(-128, 128, dtype="int8"), np.int8) +assert_type(def_gen.integers(127, dtype="int8", endpoint=True), np.int8) +assert_type(def_gen.integers(-128, 127, dtype="int8", endpoint=True), np.int8) +assert_type(def_gen.integers(I_i1_low_like, 127, dtype="int8", endpoint=True), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_high_open, dtype="int8"), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_low, I_i1_high_open, dtype="int8"), npt.NDArray[np.int8]) +assert_type(def_gen.integers(-128, I_i1_high_open, dtype="int8"), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_high_closed, dtype="int8", endpoint=True), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_low, I_i1_high_closed, dtype="int8", endpoint=True), npt.NDArray[np.int8]) +assert_type(def_gen.integers(-128, I_i1_high_closed, dtype="int8", endpoint=True), npt.NDArray[np.int8]) + +assert_type(def_gen.integers(128, dtype=np.int8), np.int8) +assert_type(def_gen.integers(-128, 128, dtype=np.int8), np.int8) +assert_type(def_gen.integers(127, dtype=np.int8, endpoint=True), np.int8) +assert_type(def_gen.integers(-128, 127, dtype=np.int8, endpoint=True), np.int8) +assert_type(def_gen.integers(I_i1_low_like, 127, dtype=np.int8, endpoint=True), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_high_open, dtype=np.int8), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_low, I_i1_high_open, dtype=np.int8), npt.NDArray[np.int8]) +assert_type(def_gen.integers(-128, I_i1_high_open, dtype=np.int8), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_high_closed, dtype=np.int8, endpoint=True), npt.NDArray[np.int8]) +assert_type(def_gen.integers(I_i1_low, I_i1_high_closed, dtype=np.int8, endpoint=True), npt.NDArray[np.int8]) +assert_type(def_gen.integers(-128, I_i1_high_closed, dtype=np.int8, endpoint=True), npt.NDArray[np.int8]) + +I_i2_low: npt.NDArray[np.int16] = np.array([-32768], dtype=np.int16) +I_i2_low_like: list[int] = [-32768] +I_i2_high_open: npt.NDArray[np.int16] = np.array([32767], dtype=np.int16) +I_i2_high_closed: npt.NDArray[np.int16] = np.array([32767], dtype=np.int16) + +assert_type(def_gen.integers(32768, dtype="i2"), np.int16) +assert_type(def_gen.integers(-32768, 32768, dtype="i2"), np.int16) +assert_type(def_gen.integers(32767, dtype="i2", endpoint=True), np.int16) +assert_type(def_gen.integers(-32768, 32767, dtype="i2", endpoint=True), np.int16) +assert_type(def_gen.integers(I_i2_low_like, 32767, dtype="i2", endpoint=True), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_high_open, dtype="i2"), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_low, I_i2_high_open, dtype="i2"), npt.NDArray[np.int16]) +assert_type(def_gen.integers(-32768, I_i2_high_open, dtype="i2"), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_high_closed, dtype="i2", endpoint=True), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_low, I_i2_high_closed, dtype="i2", endpoint=True), npt.NDArray[np.int16]) +assert_type(def_gen.integers(-32768, I_i2_high_closed, dtype="i2", endpoint=True), npt.NDArray[np.int16]) + +assert_type(def_gen.integers(32768, dtype="int16"), np.int16) +assert_type(def_gen.integers(-32768, 32768, dtype="int16"), np.int16) +assert_type(def_gen.integers(32767, dtype="int16", endpoint=True), np.int16) +assert_type(def_gen.integers(-32768, 32767, dtype="int16", endpoint=True), np.int16) +assert_type(def_gen.integers(I_i2_low_like, 32767, dtype="int16", endpoint=True), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_high_open, dtype="int16"), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_low, I_i2_high_open, dtype="int16"), npt.NDArray[np.int16]) +assert_type(def_gen.integers(-32768, I_i2_high_open, dtype="int16"), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_high_closed, dtype="int16", endpoint=True), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_low, I_i2_high_closed, dtype="int16", endpoint=True), npt.NDArray[np.int16]) +assert_type(def_gen.integers(-32768, I_i2_high_closed, dtype="int16", endpoint=True), npt.NDArray[np.int16]) + +assert_type(def_gen.integers(32768, dtype=np.int16), np.int16) +assert_type(def_gen.integers(-32768, 32768, dtype=np.int16), np.int16) +assert_type(def_gen.integers(32767, dtype=np.int16, endpoint=True), np.int16) +assert_type(def_gen.integers(-32768, 32767, dtype=np.int16, endpoint=True), np.int16) +assert_type(def_gen.integers(I_i2_low_like, 32767, dtype=np.int16, endpoint=True), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_high_open, dtype=np.int16), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_low, I_i2_high_open, dtype=np.int16), npt.NDArray[np.int16]) +assert_type(def_gen.integers(-32768, I_i2_high_open, dtype=np.int16), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_high_closed, dtype=np.int16, endpoint=True), npt.NDArray[np.int16]) +assert_type(def_gen.integers(I_i2_low, I_i2_high_closed, dtype=np.int16, endpoint=True), npt.NDArray[np.int16]) +assert_type(def_gen.integers(-32768, I_i2_high_closed, dtype=np.int16, endpoint=True), npt.NDArray[np.int16]) + +I_i4_low: npt.NDArray[np.int32] = np.array([-2147483648], dtype=np.int32) +I_i4_low_like: list[int] = [-2147483648] +I_i4_high_open: npt.NDArray[np.int32] = np.array([2147483647], dtype=np.int32) +I_i4_high_closed: npt.NDArray[np.int32] = np.array([2147483647], dtype=np.int32) + +assert_type(def_gen.integers(2147483648, dtype="i4"), np.int32) +assert_type(def_gen.integers(-2147483648, 2147483648, dtype="i4"), np.int32) +assert_type(def_gen.integers(2147483647, dtype="i4", endpoint=True), np.int32) +assert_type(def_gen.integers(-2147483648, 2147483647, dtype="i4", endpoint=True), np.int32) +assert_type(def_gen.integers(I_i4_low_like, 2147483647, dtype="i4", endpoint=True), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_high_open, dtype="i4"), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_low, I_i4_high_open, dtype="i4"), npt.NDArray[np.int32]) +assert_type(def_gen.integers(-2147483648, I_i4_high_open, dtype="i4"), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_high_closed, dtype="i4", endpoint=True), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_low, I_i4_high_closed, dtype="i4", endpoint=True), npt.NDArray[np.int32]) +assert_type(def_gen.integers(-2147483648, I_i4_high_closed, dtype="i4", endpoint=True), npt.NDArray[np.int32]) + +assert_type(def_gen.integers(2147483648, dtype="int32"), np.int32) +assert_type(def_gen.integers(-2147483648, 2147483648, dtype="int32"), np.int32) +assert_type(def_gen.integers(2147483647, dtype="int32", endpoint=True), np.int32) +assert_type(def_gen.integers(-2147483648, 2147483647, dtype="int32", endpoint=True), np.int32) +assert_type(def_gen.integers(I_i4_low_like, 2147483647, dtype="int32", endpoint=True), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_high_open, dtype="int32"), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_low, I_i4_high_open, dtype="int32"), npt.NDArray[np.int32]) +assert_type(def_gen.integers(-2147483648, I_i4_high_open, dtype="int32"), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_high_closed, dtype="int32", endpoint=True), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_low, I_i4_high_closed, dtype="int32", endpoint=True), npt.NDArray[np.int32]) +assert_type(def_gen.integers(-2147483648, I_i4_high_closed, dtype="int32", endpoint=True), npt.NDArray[np.int32]) + +assert_type(def_gen.integers(2147483648, dtype=np.int32), np.int32) +assert_type(def_gen.integers(-2147483648, 2147483648, dtype=np.int32), np.int32) +assert_type(def_gen.integers(2147483647, dtype=np.int32, endpoint=True), np.int32) +assert_type(def_gen.integers(-2147483648, 2147483647, dtype=np.int32, endpoint=True), np.int32) +assert_type(def_gen.integers(I_i4_low_like, 2147483647, dtype=np.int32, endpoint=True), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_high_open, dtype=np.int32), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_low, I_i4_high_open, dtype=np.int32), npt.NDArray[np.int32]) +assert_type(def_gen.integers(-2147483648, I_i4_high_open, dtype=np.int32), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_high_closed, dtype=np.int32, endpoint=True), npt.NDArray[np.int32]) +assert_type(def_gen.integers(I_i4_low, I_i4_high_closed, dtype=np.int32, endpoint=True), npt.NDArray[np.int32]) +assert_type(def_gen.integers(-2147483648, I_i4_high_closed, dtype=np.int32, endpoint=True), npt.NDArray[np.int32]) + +I_i8_low: npt.NDArray[np.int64] = np.array([-9223372036854775808], dtype=np.int64) +I_i8_low_like: list[int] = [-9223372036854775808] +I_i8_high_open: npt.NDArray[np.int64] = np.array([9223372036854775807], dtype=np.int64) +I_i8_high_closed: npt.NDArray[np.int64] = np.array([9223372036854775807], dtype=np.int64) + +assert_type(def_gen.integers(9223372036854775808, dtype="i8"), np.int64) +assert_type(def_gen.integers(-9223372036854775808, 9223372036854775808, dtype="i8"), np.int64) +assert_type(def_gen.integers(9223372036854775807, dtype="i8", endpoint=True), np.int64) +assert_type(def_gen.integers(-9223372036854775808, 9223372036854775807, dtype="i8", endpoint=True), np.int64) +assert_type(def_gen.integers(I_i8_low_like, 9223372036854775807, dtype="i8", endpoint=True), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_high_open, dtype="i8"), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_low, I_i8_high_open, dtype="i8"), npt.NDArray[np.int64]) +assert_type(def_gen.integers(-9223372036854775808, I_i8_high_open, dtype="i8"), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_high_closed, dtype="i8", endpoint=True), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_low, I_i8_high_closed, dtype="i8", endpoint=True), npt.NDArray[np.int64]) +assert_type(def_gen.integers(-9223372036854775808, I_i8_high_closed, dtype="i8", endpoint=True), npt.NDArray[np.int64]) + +assert_type(def_gen.integers(9223372036854775808, dtype="int64"), np.int64) +assert_type(def_gen.integers(-9223372036854775808, 9223372036854775808, dtype="int64"), np.int64) +assert_type(def_gen.integers(9223372036854775807, dtype="int64", endpoint=True), np.int64) +assert_type(def_gen.integers(-9223372036854775808, 9223372036854775807, dtype="int64", endpoint=True), np.int64) +assert_type(def_gen.integers(I_i8_low_like, 9223372036854775807, dtype="int64", endpoint=True), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_high_open, dtype="int64"), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_low, I_i8_high_open, dtype="int64"), npt.NDArray[np.int64]) +assert_type(def_gen.integers(-9223372036854775808, I_i8_high_open, dtype="int64"), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_high_closed, dtype="int64", endpoint=True), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_low, I_i8_high_closed, dtype="int64", endpoint=True), npt.NDArray[np.int64]) +assert_type(def_gen.integers(-9223372036854775808, I_i8_high_closed, dtype="int64", endpoint=True), npt.NDArray[np.int64]) + +assert_type(def_gen.integers(9223372036854775808, dtype=np.int64), np.int64) +assert_type(def_gen.integers(-9223372036854775808, 9223372036854775808, dtype=np.int64), np.int64) +assert_type(def_gen.integers(9223372036854775807, dtype=np.int64, endpoint=True), np.int64) +assert_type(def_gen.integers(-9223372036854775808, 9223372036854775807, dtype=np.int64, endpoint=True), np.int64) +assert_type(def_gen.integers(I_i8_low_like, 9223372036854775807, dtype=np.int64, endpoint=True), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_high_open, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_low, I_i8_high_open, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(def_gen.integers(-9223372036854775808, I_i8_high_open, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_high_closed, dtype=np.int64, endpoint=True), npt.NDArray[np.int64]) +assert_type(def_gen.integers(I_i8_low, I_i8_high_closed, dtype=np.int64, endpoint=True), npt.NDArray[np.int64]) +assert_type(def_gen.integers(-9223372036854775808, I_i8_high_closed, dtype=np.int64, endpoint=True), npt.NDArray[np.int64]) + +assert_type(def_gen.bit_generator, np.random.BitGenerator) + +assert_type(def_gen.bytes(2), bytes) + +assert_type(def_gen.choice(5), int) +assert_type(def_gen.choice(5, 3), npt.NDArray[np.int64]) +assert_type(def_gen.choice(5, 3, replace=True), npt.NDArray[np.int64]) +assert_type(def_gen.choice(5, 3, p=[1 / 5] * 5), npt.NDArray[np.int64]) +assert_type(def_gen.choice(5, 3, p=[1 / 5] * 5, replace=False), npt.NDArray[np.int64]) + +assert_type(def_gen.choice(["pooh", "rabbit", "piglet", "Christopher"]), Any) +assert_type(def_gen.choice(["pooh", "rabbit", "piglet", "Christopher"], 3), npt.NDArray[Any]) +assert_type(def_gen.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, p=[1 / 4] * 4), npt.NDArray[Any]) +assert_type(def_gen.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, replace=True), npt.NDArray[Any]) +assert_type(def_gen.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, replace=False, p=np.array([1 / 8, 1 / 8, 1 / 2, 1 / 4])), npt.NDArray[Any]) + +assert_type(def_gen.dirichlet([0.5, 0.5]), npt.NDArray[np.float64]) +assert_type(def_gen.dirichlet(np.array([0.5, 0.5])), npt.NDArray[np.float64]) +assert_type(def_gen.dirichlet(np.array([0.5, 0.5]), size=3), npt.NDArray[np.float64]) + +assert_type(def_gen.multinomial(20, [1 / 6.0] * 6), npt.NDArray[np.int64]) +assert_type(def_gen.multinomial(20, np.array([0.5, 0.5])), npt.NDArray[np.int64]) +assert_type(def_gen.multinomial(20, [1 / 6.0] * 6, size=2), npt.NDArray[np.int64]) +assert_type(def_gen.multinomial([[10], [20]], [1 / 6.0] * 6, size=(2, 2)), npt.NDArray[np.int64]) +assert_type(def_gen.multinomial(np.array([[10], [20]]), np.array([0.5, 0.5]), size=(2, 2)), npt.NDArray[np.int64]) + +assert_type(def_gen.multivariate_hypergeometric([3, 5, 7], 2), npt.NDArray[np.int64]) +assert_type(def_gen.multivariate_hypergeometric(np.array([3, 5, 7]), 2), npt.NDArray[np.int64]) +assert_type(def_gen.multivariate_hypergeometric(np.array([3, 5, 7]), 2, size=4), npt.NDArray[np.int64]) +assert_type(def_gen.multivariate_hypergeometric(np.array([3, 5, 7]), 2, size=(4, 7)), npt.NDArray[np.int64]) +assert_type(def_gen.multivariate_hypergeometric([3, 5, 7], 2, method="count"), npt.NDArray[np.int64]) +assert_type(def_gen.multivariate_hypergeometric(np.array([3, 5, 7]), 2, method="marginals"), npt.NDArray[np.int64]) + +assert_type(def_gen.multivariate_normal([0.0], [[1.0]]), npt.NDArray[np.float64]) +assert_type(def_gen.multivariate_normal([0.0], np.array([[1.0]])), npt.NDArray[np.float64]) +assert_type(def_gen.multivariate_normal(np.array([0.0]), [[1.0]]), npt.NDArray[np.float64]) +assert_type(def_gen.multivariate_normal([0.0], np.array([[1.0]])), npt.NDArray[np.float64]) + +assert_type(def_gen.permutation(10), npt.NDArray[np.int64]) +assert_type(def_gen.permutation([1, 2, 3, 4]), npt.NDArray[Any]) +assert_type(def_gen.permutation(np.array([1, 2, 3, 4])), npt.NDArray[Any]) +assert_type(def_gen.permutation(D_2D, axis=1), npt.NDArray[Any]) +assert_type(def_gen.permuted(D_2D), npt.NDArray[Any]) +assert_type(def_gen.permuted(D_2D_like), npt.NDArray[Any]) +assert_type(def_gen.permuted(D_2D, axis=1), npt.NDArray[Any]) +assert_type(def_gen.permuted(D_2D, out=D_2D), npt.NDArray[Any]) +assert_type(def_gen.permuted(D_2D_like, out=D_2D), npt.NDArray[Any]) +assert_type(def_gen.permuted(D_2D_like, out=D_2D), npt.NDArray[Any]) +assert_type(def_gen.permuted(D_2D, axis=1, out=D_2D), npt.NDArray[Any]) + +assert_type(def_gen.shuffle(np.arange(10)), None) +assert_type(def_gen.shuffle([1, 2, 3, 4, 5]), None) +assert_type(def_gen.shuffle(D_2D, axis=1), None) + +assert_type(np.random.Generator(pcg64), np.random.Generator) +assert_type(def_gen.__str__(), str) +assert_type(def_gen.__repr__(), str) +assert_type(def_gen.__setstate__(dict(def_gen.bit_generator.state)), None) + +# RandomState +random_st: np.random.RandomState = np.random.RandomState() + +assert_type(random_st.standard_normal(), float) +assert_type(random_st.standard_normal(size=None), float) +assert_type(random_st.standard_normal(size=1), npt.NDArray[np.float64]) + +assert_type(random_st.random(), float) +assert_type(random_st.random(size=None), float) +assert_type(random_st.random(size=1), npt.NDArray[np.float64]) + +assert_type(random_st.standard_cauchy(), float) +assert_type(random_st.standard_cauchy(size=None), float) +assert_type(random_st.standard_cauchy(size=1), npt.NDArray[np.float64]) + +assert_type(random_st.standard_exponential(), float) +assert_type(random_st.standard_exponential(size=None), float) +assert_type(random_st.standard_exponential(size=1), npt.NDArray[np.float64]) + +assert_type(random_st.zipf(1.5), int) +assert_type(random_st.zipf(1.5, size=None), int) +assert_type(random_st.zipf(1.5, size=1), npt.NDArray[np.long]) +assert_type(random_st.zipf(D_arr_1p5), npt.NDArray[np.long]) +assert_type(random_st.zipf(D_arr_1p5, size=1), npt.NDArray[np.long]) +assert_type(random_st.zipf(D_arr_like_1p5), npt.NDArray[np.long]) +assert_type(random_st.zipf(D_arr_like_1p5, size=1), npt.NDArray[np.long]) + +assert_type(random_st.weibull(0.5), float) +assert_type(random_st.weibull(0.5, size=None), float) +assert_type(random_st.weibull(0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.weibull(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.weibull(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.weibull(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.weibull(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.standard_t(0.5), float) +assert_type(random_st.standard_t(0.5, size=None), float) +assert_type(random_st.standard_t(0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.standard_t(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.standard_t(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.standard_t(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.standard_t(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.poisson(0.5), int) +assert_type(random_st.poisson(0.5, size=None), int) +assert_type(random_st.poisson(0.5, size=1), npt.NDArray[np.long]) +assert_type(random_st.poisson(D_arr_0p5), npt.NDArray[np.long]) +assert_type(random_st.poisson(D_arr_0p5, size=1), npt.NDArray[np.long]) +assert_type(random_st.poisson(D_arr_like_0p5), npt.NDArray[np.long]) +assert_type(random_st.poisson(D_arr_like_0p5, size=1), npt.NDArray[np.long]) + +assert_type(random_st.power(0.5), float) +assert_type(random_st.power(0.5, size=None), float) +assert_type(random_st.power(0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.power(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.power(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.power(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.power(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.pareto(0.5), float) +assert_type(random_st.pareto(0.5, size=None), float) +assert_type(random_st.pareto(0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.pareto(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.pareto(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.pareto(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.pareto(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.chisquare(0.5), float) +assert_type(random_st.chisquare(0.5, size=None), float) +assert_type(random_st.chisquare(0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.chisquare(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.chisquare(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.chisquare(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.chisquare(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.exponential(0.5), float) +assert_type(random_st.exponential(0.5, size=None), float) +assert_type(random_st.exponential(0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.exponential(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.exponential(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.exponential(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.exponential(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.geometric(0.5), int) +assert_type(random_st.geometric(0.5, size=None), int) +assert_type(random_st.geometric(0.5, size=1), npt.NDArray[np.long]) +assert_type(random_st.geometric(D_arr_0p5), npt.NDArray[np.long]) +assert_type(random_st.geometric(D_arr_0p5, size=1), npt.NDArray[np.long]) +assert_type(random_st.geometric(D_arr_like_0p5), npt.NDArray[np.long]) +assert_type(random_st.geometric(D_arr_like_0p5, size=1), npt.NDArray[np.long]) + +assert_type(random_st.logseries(0.5), int) +assert_type(random_st.logseries(0.5, size=None), int) +assert_type(random_st.logseries(0.5, size=1), npt.NDArray[np.long]) +assert_type(random_st.logseries(D_arr_0p5), npt.NDArray[np.long]) +assert_type(random_st.logseries(D_arr_0p5, size=1), npt.NDArray[np.long]) +assert_type(random_st.logseries(D_arr_like_0p5), npt.NDArray[np.long]) +assert_type(random_st.logseries(D_arr_like_0p5, size=1), npt.NDArray[np.long]) + +assert_type(random_st.rayleigh(0.5), float) +assert_type(random_st.rayleigh(0.5, size=None), float) +assert_type(random_st.rayleigh(0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.rayleigh(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.rayleigh(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.rayleigh(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.rayleigh(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.standard_gamma(0.5), float) +assert_type(random_st.standard_gamma(0.5, size=None), float) +assert_type(random_st.standard_gamma(0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.standard_gamma(D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.standard_gamma(D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.standard_gamma(D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.standard_gamma(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.standard_gamma(D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.vonmises(0.5, 0.5), float) +assert_type(random_st.vonmises(0.5, 0.5, size=None), float) +assert_type(random_st.vonmises(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.vonmises(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.vonmises(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.vonmises(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.vonmises(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.vonmises(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.vonmises(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.vonmises(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.vonmises(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.vonmises(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.vonmises(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.wald(0.5, 0.5), float) +assert_type(random_st.wald(0.5, 0.5, size=None), float) +assert_type(random_st.wald(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.wald(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.wald(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.wald(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.wald(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.wald(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.wald(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.wald(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.wald(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.wald(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.wald(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.uniform(0.5, 0.5), float) +assert_type(random_st.uniform(0.5, 0.5, size=None), float) +assert_type(random_st.uniform(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.uniform(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.uniform(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.uniform(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.uniform(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.uniform(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.uniform(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.uniform(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.uniform(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.uniform(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.uniform(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.beta(0.5, 0.5), float) +assert_type(random_st.beta(0.5, 0.5, size=None), float) +assert_type(random_st.beta(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.beta(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.beta(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.beta(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.beta(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.beta(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.beta(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.beta(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.beta(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.beta(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.beta(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.f(0.5, 0.5), float) +assert_type(random_st.f(0.5, 0.5, size=None), float) +assert_type(random_st.f(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.f(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.f(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.f(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.f(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.f(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.f(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.f(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.f(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.f(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.f(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.gamma(0.5, 0.5), float) +assert_type(random_st.gamma(0.5, 0.5, size=None), float) +assert_type(random_st.gamma(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.gamma(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.gamma(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.gamma(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.gamma(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.gamma(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.gamma(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.gamma(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.gamma(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.gamma(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.gamma(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.gumbel(0.5, 0.5), float) +assert_type(random_st.gumbel(0.5, 0.5, size=None), float) +assert_type(random_st.gumbel(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.gumbel(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.gumbel(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.gumbel(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.gumbel(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.gumbel(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.gumbel(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.gumbel(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.gumbel(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.gumbel(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.gumbel(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.laplace(0.5, 0.5), float) +assert_type(random_st.laplace(0.5, 0.5, size=None), float) +assert_type(random_st.laplace(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.laplace(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.laplace(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.laplace(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.laplace(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.laplace(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.laplace(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.laplace(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.laplace(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.laplace(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.laplace(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.logistic(0.5, 0.5), float) +assert_type(random_st.logistic(0.5, 0.5, size=None), float) +assert_type(random_st.logistic(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.logistic(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.logistic(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.logistic(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.logistic(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.logistic(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.logistic(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.logistic(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.logistic(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.logistic(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.logistic(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.lognormal(0.5, 0.5), float) +assert_type(random_st.lognormal(0.5, 0.5, size=None), float) +assert_type(random_st.lognormal(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.lognormal(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.lognormal(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.lognormal(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.lognormal(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.lognormal(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.lognormal(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.lognormal(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.lognormal(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.lognormal(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.lognormal(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.noncentral_chisquare(0.5, 0.5), float) +assert_type(random_st.noncentral_chisquare(0.5, 0.5, size=None), float) +assert_type(random_st.noncentral_chisquare(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_chisquare(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_chisquare(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_chisquare(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_chisquare(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_chisquare(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_chisquare(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_chisquare(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_chisquare(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_chisquare(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_chisquare(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.normal(0.5, 0.5), float) +assert_type(random_st.normal(0.5, 0.5, size=None), float) +assert_type(random_st.normal(0.5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.normal(D_arr_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.normal(0.5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.normal(D_arr_0p5, 0.5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.normal(0.5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.normal(D_arr_like_0p5, 0.5), npt.NDArray[np.float64]) +assert_type(random_st.normal(0.5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.normal(D_arr_0p5, D_arr_0p5), npt.NDArray[np.float64]) +assert_type(random_st.normal(D_arr_like_0p5, D_arr_like_0p5), npt.NDArray[np.float64]) +assert_type(random_st.normal(D_arr_0p5, D_arr_0p5, size=1), npt.NDArray[np.float64]) +assert_type(random_st.normal(D_arr_like_0p5, D_arr_like_0p5, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.triangular(0.1, 0.5, 0.9), float) +assert_type(random_st.triangular(0.1, 0.5, 0.9, size=None), float) +assert_type(random_st.triangular(0.1, 0.5, 0.9, size=1), npt.NDArray[np.float64]) +assert_type(random_st.triangular(D_arr_0p1, 0.5, 0.9), npt.NDArray[np.float64]) +assert_type(random_st.triangular(0.1, D_arr_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(random_st.triangular(D_arr_0p1, 0.5, D_arr_like_0p9, size=1), npt.NDArray[np.float64]) +assert_type(random_st.triangular(0.1, D_arr_0p5, 0.9, size=1), npt.NDArray[np.float64]) +assert_type(random_st.triangular(D_arr_like_0p1, 0.5, D_arr_0p9), npt.NDArray[np.float64]) +assert_type(random_st.triangular(0.5, D_arr_like_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(random_st.triangular(D_arr_0p1, D_arr_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(random_st.triangular(D_arr_like_0p1, D_arr_like_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(random_st.triangular(D_arr_0p1, D_arr_0p5, D_arr_0p9, size=1), npt.NDArray[np.float64]) +assert_type(random_st.triangular(D_arr_like_0p1, D_arr_like_0p5, D_arr_like_0p9, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.noncentral_f(0.1, 0.5, 0.9), float) +assert_type(random_st.noncentral_f(0.1, 0.5, 0.9, size=None), float) +assert_type(random_st.noncentral_f(0.1, 0.5, 0.9, size=1), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_f(D_arr_0p1, 0.5, 0.9), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_f(0.1, D_arr_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_f(D_arr_0p1, 0.5, D_arr_like_0p9, size=1), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_f(0.1, D_arr_0p5, 0.9, size=1), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_f(D_arr_like_0p1, 0.5, D_arr_0p9), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_f(0.5, D_arr_like_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_f(D_arr_0p1, D_arr_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_f(D_arr_like_0p1, D_arr_like_0p5, 0.9), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_f(D_arr_0p1, D_arr_0p5, D_arr_0p9, size=1), npt.NDArray[np.float64]) +assert_type(random_st.noncentral_f(D_arr_like_0p1, D_arr_like_0p5, D_arr_like_0p9, size=1), npt.NDArray[np.float64]) + +assert_type(random_st.binomial(10, 0.5), int) +assert_type(random_st.binomial(10, 0.5, size=None), int) +assert_type(random_st.binomial(10, 0.5, size=1), npt.NDArray[np.long]) +assert_type(random_st.binomial(I_arr_10, 0.5), npt.NDArray[np.long]) +assert_type(random_st.binomial(10, D_arr_0p5), npt.NDArray[np.long]) +assert_type(random_st.binomial(I_arr_10, 0.5, size=1), npt.NDArray[np.long]) +assert_type(random_st.binomial(10, D_arr_0p5, size=1), npt.NDArray[np.long]) +assert_type(random_st.binomial(I_arr_like_10, 0.5), npt.NDArray[np.long]) +assert_type(random_st.binomial(10, D_arr_like_0p5), npt.NDArray[np.long]) +assert_type(random_st.binomial(I_arr_10, D_arr_0p5), npt.NDArray[np.long]) +assert_type(random_st.binomial(I_arr_like_10, D_arr_like_0p5), npt.NDArray[np.long]) +assert_type(random_st.binomial(I_arr_10, D_arr_0p5, size=1), npt.NDArray[np.long]) +assert_type(random_st.binomial(I_arr_like_10, D_arr_like_0p5, size=1), npt.NDArray[np.long]) + +assert_type(random_st.negative_binomial(10, 0.5), int) +assert_type(random_st.negative_binomial(10, 0.5, size=None), int) +assert_type(random_st.negative_binomial(10, 0.5, size=1), npt.NDArray[np.long]) +assert_type(random_st.negative_binomial(I_arr_10, 0.5), npt.NDArray[np.long]) +assert_type(random_st.negative_binomial(10, D_arr_0p5), npt.NDArray[np.long]) +assert_type(random_st.negative_binomial(I_arr_10, 0.5, size=1), npt.NDArray[np.long]) +assert_type(random_st.negative_binomial(10, D_arr_0p5, size=1), npt.NDArray[np.long]) +assert_type(random_st.negative_binomial(I_arr_like_10, 0.5), npt.NDArray[np.long]) +assert_type(random_st.negative_binomial(10, D_arr_like_0p5), npt.NDArray[np.long]) +assert_type(random_st.negative_binomial(I_arr_10, D_arr_0p5), npt.NDArray[np.long]) +assert_type(random_st.negative_binomial(I_arr_like_10, D_arr_like_0p5), npt.NDArray[np.long]) +assert_type(random_st.negative_binomial(I_arr_10, D_arr_0p5, size=1), npt.NDArray[np.long]) +assert_type(random_st.negative_binomial(I_arr_like_10, D_arr_like_0p5, size=1), npt.NDArray[np.long]) + +assert_type(random_st.hypergeometric(20, 20, 10), int) +assert_type(random_st.hypergeometric(20, 20, 10, size=None), int) +assert_type(random_st.hypergeometric(20, 20, 10, size=1), npt.NDArray[np.long]) +assert_type(random_st.hypergeometric(I_arr_20, 20, 10), npt.NDArray[np.long]) +assert_type(random_st.hypergeometric(20, I_arr_20, 10), npt.NDArray[np.long]) +assert_type(random_st.hypergeometric(I_arr_20, 20, I_arr_like_10, size=1), npt.NDArray[np.long]) +assert_type(random_st.hypergeometric(20, I_arr_20, 10, size=1), npt.NDArray[np.long]) +assert_type(random_st.hypergeometric(I_arr_like_20, 20, I_arr_10), npt.NDArray[np.long]) +assert_type(random_st.hypergeometric(20, I_arr_like_20, 10), npt.NDArray[np.long]) +assert_type(random_st.hypergeometric(I_arr_20, I_arr_20, 10), npt.NDArray[np.long]) +assert_type(random_st.hypergeometric(I_arr_like_20, I_arr_like_20, 10), npt.NDArray[np.long]) +assert_type(random_st.hypergeometric(I_arr_20, I_arr_20, I_arr_10, size=1), npt.NDArray[np.long]) +assert_type(random_st.hypergeometric(I_arr_like_20, I_arr_like_20, I_arr_like_10, size=1), npt.NDArray[np.long]) + +assert_type(random_st.randint(0, 100), int) +assert_type(random_st.randint(100), int) +assert_type(random_st.randint([100]), npt.NDArray[np.long]) +assert_type(random_st.randint(0, [100]), npt.NDArray[np.long]) + +assert_type(random_st.randint(2, dtype=bool), bool) +assert_type(random_st.randint(0, 2, dtype=bool), bool) +assert_type(random_st.randint(I_bool_high_open, dtype=bool), npt.NDArray[np.bool]) +assert_type(random_st.randint(I_bool_low, I_bool_high_open, dtype=bool), npt.NDArray[np.bool]) +assert_type(random_st.randint(0, I_bool_high_open, dtype=bool), npt.NDArray[np.bool]) + +assert_type(random_st.randint(2, dtype=np.bool), np.bool) +assert_type(random_st.randint(0, 2, dtype=np.bool), np.bool) +assert_type(random_st.randint(I_bool_high_open, dtype=np.bool), npt.NDArray[np.bool]) +assert_type(random_st.randint(I_bool_low, I_bool_high_open, dtype=np.bool), npt.NDArray[np.bool]) +assert_type(random_st.randint(0, I_bool_high_open, dtype=np.bool), npt.NDArray[np.bool]) + +assert_type(random_st.randint(256, dtype="u1"), np.uint8) +assert_type(random_st.randint(0, 256, dtype="u1"), np.uint8) +assert_type(random_st.randint(I_u1_high_open, dtype="u1"), npt.NDArray[np.uint8]) +assert_type(random_st.randint(I_u1_low, I_u1_high_open, dtype="u1"), npt.NDArray[np.uint8]) +assert_type(random_st.randint(0, I_u1_high_open, dtype="u1"), npt.NDArray[np.uint8]) + +assert_type(random_st.randint(256, dtype="uint8"), np.uint8) +assert_type(random_st.randint(0, 256, dtype="uint8"), np.uint8) +assert_type(random_st.randint(I_u1_high_open, dtype="uint8"), npt.NDArray[np.uint8]) +assert_type(random_st.randint(I_u1_low, I_u1_high_open, dtype="uint8"), npt.NDArray[np.uint8]) +assert_type(random_st.randint(0, I_u1_high_open, dtype="uint8"), npt.NDArray[np.uint8]) + +assert_type(random_st.randint(256, dtype=np.uint8), np.uint8) +assert_type(random_st.randint(0, 256, dtype=np.uint8), np.uint8) +assert_type(random_st.randint(I_u1_high_open, dtype=np.uint8), npt.NDArray[np.uint8]) +assert_type(random_st.randint(I_u1_low, I_u1_high_open, dtype=np.uint8), npt.NDArray[np.uint8]) +assert_type(random_st.randint(0, I_u1_high_open, dtype=np.uint8), npt.NDArray[np.uint8]) + +assert_type(random_st.randint(65536, dtype="u2"), np.uint16) +assert_type(random_st.randint(0, 65536, dtype="u2"), np.uint16) +assert_type(random_st.randint(I_u2_high_open, dtype="u2"), npt.NDArray[np.uint16]) +assert_type(random_st.randint(I_u2_low, I_u2_high_open, dtype="u2"), npt.NDArray[np.uint16]) +assert_type(random_st.randint(0, I_u2_high_open, dtype="u2"), npt.NDArray[np.uint16]) + +assert_type(random_st.randint(65536, dtype="uint16"), np.uint16) +assert_type(random_st.randint(0, 65536, dtype="uint16"), np.uint16) +assert_type(random_st.randint(I_u2_high_open, dtype="uint16"), npt.NDArray[np.uint16]) +assert_type(random_st.randint(I_u2_low, I_u2_high_open, dtype="uint16"), npt.NDArray[np.uint16]) +assert_type(random_st.randint(0, I_u2_high_open, dtype="uint16"), npt.NDArray[np.uint16]) + +assert_type(random_st.randint(65536, dtype=np.uint16), np.uint16) +assert_type(random_st.randint(0, 65536, dtype=np.uint16), np.uint16) +assert_type(random_st.randint(I_u2_high_open, dtype=np.uint16), npt.NDArray[np.uint16]) +assert_type(random_st.randint(I_u2_low, I_u2_high_open, dtype=np.uint16), npt.NDArray[np.uint16]) +assert_type(random_st.randint(0, I_u2_high_open, dtype=np.uint16), npt.NDArray[np.uint16]) + +assert_type(random_st.randint(4294967296, dtype="u4"), np.uint32) +assert_type(random_st.randint(0, 4294967296, dtype="u4"), np.uint32) +assert_type(random_st.randint(I_u4_high_open, dtype="u4"), npt.NDArray[np.uint32]) +assert_type(random_st.randint(I_u4_low, I_u4_high_open, dtype="u4"), npt.NDArray[np.uint32]) +assert_type(random_st.randint(0, I_u4_high_open, dtype="u4"), npt.NDArray[np.uint32]) + +assert_type(random_st.randint(4294967296, dtype="uint32"), np.uint32) +assert_type(random_st.randint(0, 4294967296, dtype="uint32"), np.uint32) +assert_type(random_st.randint(I_u4_high_open, dtype="uint32"), npt.NDArray[np.uint32]) +assert_type(random_st.randint(I_u4_low, I_u4_high_open, dtype="uint32"), npt.NDArray[np.uint32]) +assert_type(random_st.randint(0, I_u4_high_open, dtype="uint32"), npt.NDArray[np.uint32]) + +assert_type(random_st.randint(4294967296, dtype=np.uint32), np.uint32) +assert_type(random_st.randint(0, 4294967296, dtype=np.uint32), np.uint32) +assert_type(random_st.randint(I_u4_high_open, dtype=np.uint32), npt.NDArray[np.uint32]) +assert_type(random_st.randint(I_u4_low, I_u4_high_open, dtype=np.uint32), npt.NDArray[np.uint32]) +assert_type(random_st.randint(0, I_u4_high_open, dtype=np.uint32), npt.NDArray[np.uint32]) + +assert_type(random_st.randint(4294967296, dtype=np.uint), np.uint) +assert_type(random_st.randint(0, 4294967296, dtype=np.uint), np.uint) +assert_type(random_st.randint(I_u4_high_open, dtype=np.uint), npt.NDArray[np.uint]) +assert_type(random_st.randint(I_u4_low, I_u4_high_open, dtype=np.uint), npt.NDArray[np.uint]) +assert_type(random_st.randint(0, I_u4_high_open, dtype=np.uint), npt.NDArray[np.uint]) + +assert_type(random_st.randint(18446744073709551616, dtype="u8"), np.uint64) +assert_type(random_st.randint(0, 18446744073709551616, dtype="u8"), np.uint64) +assert_type(random_st.randint(I_u8_high_open, dtype="u8"), npt.NDArray[np.uint64]) +assert_type(random_st.randint(I_u8_low, I_u8_high_open, dtype="u8"), npt.NDArray[np.uint64]) +assert_type(random_st.randint(0, I_u8_high_open, dtype="u8"), npt.NDArray[np.uint64]) + +assert_type(random_st.randint(18446744073709551616, dtype="uint64"), np.uint64) +assert_type(random_st.randint(0, 18446744073709551616, dtype="uint64"), np.uint64) +assert_type(random_st.randint(I_u8_high_open, dtype="uint64"), npt.NDArray[np.uint64]) +assert_type(random_st.randint(I_u8_low, I_u8_high_open, dtype="uint64"), npt.NDArray[np.uint64]) +assert_type(random_st.randint(0, I_u8_high_open, dtype="uint64"), npt.NDArray[np.uint64]) + +assert_type(random_st.randint(18446744073709551616, dtype=np.uint64), np.uint64) +assert_type(random_st.randint(0, 18446744073709551616, dtype=np.uint64), np.uint64) +assert_type(random_st.randint(I_u8_high_open, dtype=np.uint64), npt.NDArray[np.uint64]) +assert_type(random_st.randint(I_u8_low, I_u8_high_open, dtype=np.uint64), npt.NDArray[np.uint64]) +assert_type(random_st.randint(0, I_u8_high_open, dtype=np.uint64), npt.NDArray[np.uint64]) + +assert_type(random_st.randint(128, dtype="i1"), np.int8) +assert_type(random_st.randint(-128, 128, dtype="i1"), np.int8) +assert_type(random_st.randint(I_i1_high_open, dtype="i1"), npt.NDArray[np.int8]) +assert_type(random_st.randint(I_i1_low, I_i1_high_open, dtype="i1"), npt.NDArray[np.int8]) +assert_type(random_st.randint(-128, I_i1_high_open, dtype="i1"), npt.NDArray[np.int8]) + +assert_type(random_st.randint(128, dtype="int8"), np.int8) +assert_type(random_st.randint(-128, 128, dtype="int8"), np.int8) +assert_type(random_st.randint(I_i1_high_open, dtype="int8"), npt.NDArray[np.int8]) +assert_type(random_st.randint(I_i1_low, I_i1_high_open, dtype="int8"), npt.NDArray[np.int8]) +assert_type(random_st.randint(-128, I_i1_high_open, dtype="int8"), npt.NDArray[np.int8]) + +assert_type(random_st.randint(128, dtype=np.int8), np.int8) +assert_type(random_st.randint(-128, 128, dtype=np.int8), np.int8) +assert_type(random_st.randint(I_i1_high_open, dtype=np.int8), npt.NDArray[np.int8]) +assert_type(random_st.randint(I_i1_low, I_i1_high_open, dtype=np.int8), npt.NDArray[np.int8]) +assert_type(random_st.randint(-128, I_i1_high_open, dtype=np.int8), npt.NDArray[np.int8]) + +assert_type(random_st.randint(32768, dtype="i2"), np.int16) +assert_type(random_st.randint(-32768, 32768, dtype="i2"), np.int16) +assert_type(random_st.randint(I_i2_high_open, dtype="i2"), npt.NDArray[np.int16]) +assert_type(random_st.randint(I_i2_low, I_i2_high_open, dtype="i2"), npt.NDArray[np.int16]) +assert_type(random_st.randint(-32768, I_i2_high_open, dtype="i2"), npt.NDArray[np.int16]) + +assert_type(random_st.randint(32768, dtype="int16"), np.int16) +assert_type(random_st.randint(-32768, 32768, dtype="int16"), np.int16) +assert_type(random_st.randint(I_i2_high_open, dtype="int16"), npt.NDArray[np.int16]) +assert_type(random_st.randint(I_i2_low, I_i2_high_open, dtype="int16"), npt.NDArray[np.int16]) +assert_type(random_st.randint(-32768, I_i2_high_open, dtype="int16"), npt.NDArray[np.int16]) + +assert_type(random_st.randint(32768, dtype=np.int16), np.int16) +assert_type(random_st.randint(-32768, 32768, dtype=np.int16), np.int16) +assert_type(random_st.randint(I_i2_high_open, dtype=np.int16), npt.NDArray[np.int16]) +assert_type(random_st.randint(I_i2_low, I_i2_high_open, dtype=np.int16), npt.NDArray[np.int16]) +assert_type(random_st.randint(-32768, I_i2_high_open, dtype=np.int16), npt.NDArray[np.int16]) + +assert_type(random_st.randint(2147483648, dtype="i4"), np.int32) +assert_type(random_st.randint(-2147483648, 2147483648, dtype="i4"), np.int32) +assert_type(random_st.randint(I_i4_high_open, dtype="i4"), npt.NDArray[np.int32]) +assert_type(random_st.randint(I_i4_low, I_i4_high_open, dtype="i4"), npt.NDArray[np.int32]) +assert_type(random_st.randint(-2147483648, I_i4_high_open, dtype="i4"), npt.NDArray[np.int32]) + +assert_type(random_st.randint(2147483648, dtype="int32"), np.int32) +assert_type(random_st.randint(-2147483648, 2147483648, dtype="int32"), np.int32) +assert_type(random_st.randint(I_i4_high_open, dtype="int32"), npt.NDArray[np.int32]) +assert_type(random_st.randint(I_i4_low, I_i4_high_open, dtype="int32"), npt.NDArray[np.int32]) +assert_type(random_st.randint(-2147483648, I_i4_high_open, dtype="int32"), npt.NDArray[np.int32]) + +assert_type(random_st.randint(2147483648, dtype=np.int32), np.int32) +assert_type(random_st.randint(-2147483648, 2147483648, dtype=np.int32), np.int32) +assert_type(random_st.randint(I_i4_high_open, dtype=np.int32), npt.NDArray[np.int32]) +assert_type(random_st.randint(I_i4_low, I_i4_high_open, dtype=np.int32), npt.NDArray[np.int32]) +assert_type(random_st.randint(-2147483648, I_i4_high_open, dtype=np.int32), npt.NDArray[np.int32]) + +assert_type(random_st.randint(2147483648, dtype=np.int_), np.int_) +assert_type(random_st.randint(-2147483648, 2147483648, dtype=np.int_), np.int_) +assert_type(random_st.randint(I_i4_high_open, dtype=np.int_), npt.NDArray[np.int_]) +assert_type(random_st.randint(I_i4_low, I_i4_high_open, dtype=np.int_), npt.NDArray[np.int_]) +assert_type(random_st.randint(-2147483648, I_i4_high_open, dtype=np.int_), npt.NDArray[np.int_]) + +assert_type(random_st.randint(9223372036854775808, dtype="i8"), np.int64) +assert_type(random_st.randint(-9223372036854775808, 9223372036854775808, dtype="i8"), np.int64) +assert_type(random_st.randint(I_i8_high_open, dtype="i8"), npt.NDArray[np.int64]) +assert_type(random_st.randint(I_i8_low, I_i8_high_open, dtype="i8"), npt.NDArray[np.int64]) +assert_type(random_st.randint(-9223372036854775808, I_i8_high_open, dtype="i8"), npt.NDArray[np.int64]) + +assert_type(random_st.randint(9223372036854775808, dtype="int64"), np.int64) +assert_type(random_st.randint(-9223372036854775808, 9223372036854775808, dtype="int64"), np.int64) +assert_type(random_st.randint(I_i8_high_open, dtype="int64"), npt.NDArray[np.int64]) +assert_type(random_st.randint(I_i8_low, I_i8_high_open, dtype="int64"), npt.NDArray[np.int64]) +assert_type(random_st.randint(-9223372036854775808, I_i8_high_open, dtype="int64"), npt.NDArray[np.int64]) + +assert_type(random_st.randint(9223372036854775808, dtype=np.int64), np.int64) +assert_type(random_st.randint(-9223372036854775808, 9223372036854775808, dtype=np.int64), np.int64) +assert_type(random_st.randint(I_i8_high_open, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(random_st.randint(I_i8_low, I_i8_high_open, dtype=np.int64), npt.NDArray[np.int64]) +assert_type(random_st.randint(-9223372036854775808, I_i8_high_open, dtype=np.int64), npt.NDArray[np.int64]) + +assert_type(random_st._bit_generator, np.random.BitGenerator) + +assert_type(random_st.bytes(2), bytes) + +assert_type(random_st.choice(5), int) +assert_type(random_st.choice(5, 3), npt.NDArray[np.long]) +assert_type(random_st.choice(5, 3, replace=True), npt.NDArray[np.long]) +assert_type(random_st.choice(5, 3, p=[1 / 5] * 5), npt.NDArray[np.long]) +assert_type(random_st.choice(5, 3, p=[1 / 5] * 5, replace=False), npt.NDArray[np.long]) + +assert_type(random_st.choice(["pooh", "rabbit", "piglet", "Christopher"]), Any) +assert_type(random_st.choice(["pooh", "rabbit", "piglet", "Christopher"], 3), npt.NDArray[Any]) +assert_type(random_st.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, p=[1 / 4] * 4), npt.NDArray[Any]) +assert_type(random_st.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, replace=True), npt.NDArray[Any]) +assert_type(random_st.choice(["pooh", "rabbit", "piglet", "Christopher"], 3, replace=False, p=np.array([1 / 8, 1 / 8, 1 / 2, 1 / 4])), npt.NDArray[Any]) + +assert_type(random_st.dirichlet([0.5, 0.5]), npt.NDArray[np.float64]) +assert_type(random_st.dirichlet(np.array([0.5, 0.5])), npt.NDArray[np.float64]) +assert_type(random_st.dirichlet(np.array([0.5, 0.5]), size=3), npt.NDArray[np.float64]) + +assert_type(random_st.multinomial(20, [1 / 6.0] * 6), npt.NDArray[np.long]) +assert_type(random_st.multinomial(20, np.array([0.5, 0.5])), npt.NDArray[np.long]) +assert_type(random_st.multinomial(20, [1 / 6.0] * 6, size=2), npt.NDArray[np.long]) + +assert_type(random_st.multivariate_normal([0.0], [[1.0]]), npt.NDArray[np.float64]) +assert_type(random_st.multivariate_normal([0.0], np.array([[1.0]])), npt.NDArray[np.float64]) +assert_type(random_st.multivariate_normal(np.array([0.0]), [[1.0]]), npt.NDArray[np.float64]) +assert_type(random_st.multivariate_normal([0.0], np.array([[1.0]])), npt.NDArray[np.float64]) + +assert_type(random_st.permutation(10), npt.NDArray[np.long]) +assert_type(random_st.permutation([1, 2, 3, 4]), npt.NDArray[Any]) +assert_type(random_st.permutation(np.array([1, 2, 3, 4])), npt.NDArray[Any]) +assert_type(random_st.permutation(D_2D), npt.NDArray[Any]) + +assert_type(random_st.shuffle(np.arange(10)), None) +assert_type(random_st.shuffle([1, 2, 3, 4, 5]), None) +assert_type(random_st.shuffle(D_2D), None) + +assert_type(np.random.RandomState(pcg64), np.random.RandomState) +assert_type(np.random.RandomState(0), np.random.RandomState) +assert_type(np.random.RandomState([0, 1, 2]), np.random.RandomState) +assert_type(random_st.__str__(), str) +assert_type(random_st.__repr__(), str) +random_st_state = random_st.__getstate__() +assert_type(random_st_state, dict[str, Any]) +assert_type(random_st.__setstate__(random_st_state), None) +assert_type(random_st.seed(), None) +assert_type(random_st.seed(1), None) +assert_type(random_st.seed([0, 1]), None) +random_st_get_state = random_st.get_state() +assert_type(random_st_state, dict[str, Any]) +random_st_get_state_legacy = random_st.get_state(legacy=True) +assert_type(random_st_get_state_legacy, dict[str, Any] | tuple[str, npt.NDArray[np.uint32], int, int, float]) +assert_type(random_st.set_state(random_st_get_state), None) + +assert_type(random_st.rand(), float) +assert_type(random_st.rand(1), npt.NDArray[np.float64]) +assert_type(random_st.rand(1, 2), npt.NDArray[np.float64]) +assert_type(random_st.randn(), float) +assert_type(random_st.randn(1), npt.NDArray[np.float64]) +assert_type(random_st.randn(1, 2), npt.NDArray[np.float64]) +assert_type(random_st.random_sample(), float) +assert_type(random_st.random_sample(1), npt.NDArray[np.float64]) +assert_type(random_st.random_sample(size=(1, 2)), npt.NDArray[np.float64]) + +assert_type(random_st.tomaxint(), int) +assert_type(random_st.tomaxint(1), npt.NDArray[np.int64]) +assert_type(random_st.tomaxint((1,)), npt.NDArray[np.int64]) + +assert_type(np.random.mtrand.set_bit_generator(pcg64), None) +assert_type(np.random.mtrand.get_bit_generator(), np.random.BitGenerator) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/rec.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/rec.pyi new file mode 100644 index 0000000000000000000000000000000000000000..aacf217e42072cacc9a245d7d7faef8cb340f2c2 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/rec.pyi @@ -0,0 +1,171 @@ +import io +from typing import Any, TypeAlias, assert_type + +import numpy as np +import numpy.typing as npt + +_RecArray: TypeAlias = np.recarray[tuple[Any, ...], np.dtype[np.record]] + +AR_i8: npt.NDArray[np.int64] +REC_AR_V: _RecArray +AR_LIST: list[npt.NDArray[np.int64]] + +record: np.record +file_obj: io.BufferedIOBase + +assert_type(np.rec.format_parser( + formats=[np.float64, np.int64, np.bool], + names=["f8", "i8", "?"], + titles=None, + aligned=True, +), np.rec.format_parser) +assert_type(np.rec.format_parser.dtype, np.dtype[np.void]) + +assert_type(record.field_a, Any) +assert_type(record.field_b, Any) +assert_type(record["field_a"], Any) +assert_type(record["field_b"], Any) +assert_type(record.pprint(), str) +record.field_c = 5 + +assert_type(REC_AR_V.field(0), Any) +assert_type(REC_AR_V.field("field_a"), Any) +assert_type(REC_AR_V.field(0, AR_i8), None) +assert_type(REC_AR_V.field("field_a", AR_i8), None) +assert_type(REC_AR_V["field_a"], npt.NDArray[Any]) +assert_type(REC_AR_V.field_a, Any) +assert_type(REC_AR_V.__array_finalize__(object()), None) + +assert_type( + np.recarray( + shape=(10, 5), + formats=[np.float64, np.int64, np.bool], + order="K", + byteorder="|", + ), + _RecArray, +) + +assert_type( + np.recarray( + shape=(10, 5), + dtype=[("f8", np.float64), ("i8", np.int64)], + strides=(5, 5), + ), + np.recarray, +) + +assert_type(np.rec.fromarrays(AR_LIST), np.recarray) +assert_type( + np.rec.fromarrays(AR_LIST, dtype=np.int64), + np.recarray, +) +assert_type( + np.rec.fromarrays( + AR_LIST, + formats=[np.int64, np.float64], + names=["i8", "f8"] + ), + _RecArray, +) + +assert_type( + np.rec.fromrecords((1, 1.5)), + _RecArray +) + +assert_type( + np.rec.fromrecords( + [(1, 1.5)], + dtype=[("i8", np.int64), ("f8", np.float64)], + ), + _RecArray, +) + +assert_type( + np.rec.fromrecords( + REC_AR_V, + formats=[np.int64, np.float64], + names=["i8", "f8"] + ), + _RecArray, +) + +assert_type( + np.rec.fromstring( + b"(1, 1.5)", + dtype=[("i8", np.int64), ("f8", np.float64)], + ), + _RecArray, +) + +assert_type( + np.rec.fromstring( + REC_AR_V, + formats=[np.int64, np.float64], + names=["i8", "f8"] + ), + _RecArray, +) + +assert_type( + np.rec.fromfile( + "test_file.txt", + dtype=[("i8", np.int64), ("f8", np.float64)], + ), + np.recarray, +) + +assert_type( + np.rec.fromfile( + file_obj, + formats=[np.int64, np.float64], + names=["i8", "f8"] + ), + _RecArray, +) + +assert_type(np.rec.array(AR_i8), np.recarray[tuple[Any, ...], np.dtype[np.int64]]) + +assert_type( + np.rec.array([(1, 1.5)], dtype=[("i8", np.int64), ("f8", np.float64)]), + np.recarray, +) + +assert_type( + np.rec.array( + [(1, 1.5)], + formats=[np.int64, np.float64], + names=["i8", "f8"] + ), + _RecArray, +) + +assert_type( + np.rec.array( + None, + dtype=np.float64, + shape=(10, 3), + ), + np.recarray, +) + +assert_type( + np.rec.array( + None, + formats=[np.int64, np.float64], + names=["i8", "f8"], + shape=(10, 3), + ), + _RecArray, +) + +assert_type( + np.rec.array(file_obj, dtype=np.float64), + np.recarray, +) + +assert_type( + np.rec.array(file_obj, formats=[np.int64, np.float64], names=["i8", "f8"]), + _RecArray, +) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/scalars.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/scalars.pyi new file mode 100644 index 0000000000000000000000000000000000000000..67444e33dfc389e164092afee1423ac29a16ed44 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/scalars.pyi @@ -0,0 +1,191 @@ +from typing import Any, Literal, TypeAlias, assert_type + +import numpy as np + +_1: TypeAlias = Literal[1] + +b: np.bool +u8: np.uint64 +i8: np.int64 +f8: np.float64 +c8: np.complex64 +c16: np.complex128 +m: np.timedelta64 +U: np.str_ +S: np.bytes_ +V: np.void +O: np.object_ # cannot exists at runtime + +array_nd: np.ndarray[Any, Any] +array_0d: np.ndarray[tuple[()], Any] +array_2d_2x2: np.ndarray[tuple[Literal[2], Literal[2]], Any] + +assert_type(c8.real, np.float32) +assert_type(c8.imag, np.float32) + +assert_type(c8.real.real, np.float32) +assert_type(c8.real.imag, np.float32) + +assert_type(c8.itemsize, int) +assert_type(c8.shape, tuple[()]) +assert_type(c8.strides, tuple[()]) + +assert_type(c8.ndim, Literal[0]) +assert_type(c8.size, Literal[1]) + +assert_type(c8.squeeze(), np.complex64) +assert_type(c8.byteswap(), np.complex64) +assert_type(c8.transpose(), np.complex64) + +assert_type(c8.dtype, np.dtype[np.complex64]) + +assert_type(c8.real, np.float32) +assert_type(c16.imag, np.float64) + +assert_type(np.str_("foo"), np.str_) + +assert_type(V[0], Any) +assert_type(V["field1"], Any) +assert_type(V[["field1", "field2"]], np.void) +V[0] = 5 + +# Aliases +assert_type(np.bool_(), np.bool[Literal[False]]) +assert_type(np.byte(), np.byte) +assert_type(np.short(), np.short) +assert_type(np.intc(), np.intc) +assert_type(np.intp(), np.intp) +assert_type(np.int_(), np.int_) +assert_type(np.long(), np.long) +assert_type(np.longlong(), np.longlong) + +assert_type(np.ubyte(), np.ubyte) +assert_type(np.ushort(), np.ushort) +assert_type(np.uintc(), np.uintc) +assert_type(np.uintp(), np.uintp) +assert_type(np.uint(), np.uint) +assert_type(np.ulong(), np.ulong) +assert_type(np.ulonglong(), np.ulonglong) + +assert_type(np.half(), np.half) +assert_type(np.single(), np.single) +assert_type(np.double(), np.double) +assert_type(np.longdouble(), np.longdouble) + +assert_type(np.csingle(), np.csingle) +assert_type(np.cdouble(), np.cdouble) +assert_type(np.clongdouble(), np.clongdouble) + +assert_type(b.item(), bool) +assert_type(i8.item(), int) +assert_type(u8.item(), int) +assert_type(f8.item(), float) +assert_type(c16.item(), complex) +assert_type(U.item(), str) +assert_type(S.item(), bytes) + +assert_type(b.tolist(), bool) +assert_type(i8.tolist(), int) +assert_type(u8.tolist(), int) +assert_type(f8.tolist(), float) +assert_type(c16.tolist(), complex) +assert_type(U.tolist(), str) +assert_type(S.tolist(), bytes) + +assert_type(b.ravel(), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(i8.ravel(), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(u8.ravel(), np.ndarray[tuple[int], np.dtype[np.uint64]]) +assert_type(f8.ravel(), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(c16.ravel(), np.ndarray[tuple[int], np.dtype[np.complex128]]) +assert_type(U.ravel(), np.ndarray[tuple[int], np.dtype[np.str_]]) +assert_type(S.ravel(), np.ndarray[tuple[int], np.dtype[np.bytes_]]) + +assert_type(b.flatten(), np.ndarray[tuple[int], np.dtype[np.bool]]) +assert_type(i8.flatten(), np.ndarray[tuple[int], np.dtype[np.int64]]) +assert_type(u8.flatten(), np.ndarray[tuple[int], np.dtype[np.uint64]]) +assert_type(f8.flatten(), np.ndarray[tuple[int], np.dtype[np.float64]]) +assert_type(c16.flatten(), np.ndarray[tuple[int], np.dtype[np.complex128]]) +assert_type(U.flatten(), np.ndarray[tuple[int], np.dtype[np.str_]]) +assert_type(S.flatten(), np.ndarray[tuple[int], np.dtype[np.bytes_]]) + +assert_type(b.reshape(()), np.bool) +assert_type(i8.reshape([]), np.int64) +assert_type(b.reshape(1), np.ndarray[tuple[_1], np.dtype[np.bool]]) +assert_type(i8.reshape(-1), np.ndarray[tuple[_1], np.dtype[np.int64]]) +assert_type(u8.reshape(1, 1), np.ndarray[tuple[_1, _1], np.dtype[np.uint64]]) +assert_type(f8.reshape(1, -1), np.ndarray[tuple[_1, _1], np.dtype[np.float64]]) +assert_type(c16.reshape(1, 1, 1), np.ndarray[tuple[_1, _1, _1], np.dtype[np.complex128]]) +assert_type(U.reshape(1, 1, 1, 1), np.ndarray[tuple[_1, _1, _1, _1], np.dtype[np.str_]]) +assert_type( + S.reshape(1, 1, 1, 1, 1), + np.ndarray[ + # len(shape) >= 5 + tuple[_1, _1, _1, _1, _1, *tuple[_1, ...]], + np.dtype[np.bytes_], + ], +) + +assert_type(i8.astype(float), Any) +assert_type(i8.astype(np.float64), np.float64) + +assert_type(i8.view(), np.int64) +assert_type(i8.view(np.float64), np.float64) +assert_type(i8.view(float), Any) +assert_type(i8.view(np.float64, np.ndarray), np.float64) + +assert_type(i8.getfield(float), Any) +assert_type(i8.getfield(np.float64), np.float64) +assert_type(i8.getfield(np.float64, 8), np.float64) + +assert_type(f8.as_integer_ratio(), tuple[int, int]) +assert_type(f8.is_integer(), bool) +assert_type(f8.__trunc__(), int) +assert_type(f8.__getformat__("float"), str) +assert_type(f8.hex(), str) +assert_type(np.float64.fromhex("0x0.0p+0"), np.float64) + +assert_type(f8.__getnewargs__(), tuple[float]) +assert_type(c16.__getnewargs__(), tuple[float, float]) + +assert_type(i8.numerator, np.int64) +assert_type(i8.denominator, Literal[1]) +assert_type(u8.numerator, np.uint64) +assert_type(u8.denominator, Literal[1]) +assert_type(m.numerator, np.timedelta64) +assert_type(m.denominator, Literal[1]) + +assert_type(round(i8), int) +assert_type(round(i8, 3), np.int64) +assert_type(round(u8), int) +assert_type(round(u8, 3), np.uint64) +assert_type(round(f8), int) +assert_type(round(f8, 3), np.float64) + +assert_type(f8.__ceil__(), int) +assert_type(f8.__floor__(), int) + +assert_type(i8.is_integer(), Literal[True]) + +assert_type(O.real, np.object_) +assert_type(O.imag, np.object_) +assert_type(int(O), int) +assert_type(float(O), float) +assert_type(complex(O), complex) + +# These fail fail because of a mypy __new__ bug: +# https://github.com/python/mypy/issues/15182 +# According to the typing spec, the following statements are valid, see +# https://typing.readthedocs.io/en/latest/spec/constructors.html#new-method + +# assert_type(np.object_(), None) +# assert_type(np.object_(None), None) +# assert_type(np.object_(array_nd), np.ndarray[Any, np.dtype[np.object_]]) +# assert_type(np.object_([]), npt.NDArray[np.object_]) +# assert_type(np.object_(()), npt.NDArray[np.object_]) +# assert_type(np.object_(range(4)), npt.NDArray[np.object_]) +# assert_type(np.object_(+42), int) +# assert_type(np.object_(1 / 137), float) +# assert_type(np.object_('Developers! ' * (1 << 6)), str) +# assert_type(np.object_(object()), object) +# assert_type(np.object_({False, True, NotADirectoryError}), set[Any]) +# assert_type(np.object_({'spam': 'food', 'ham': 'food'}), dict[str, str]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/shape.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/shape.pyi new file mode 100644 index 0000000000000000000000000000000000000000..2406a39f9682b66623bd9879afdfcfe311c5f869 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/shape.pyi @@ -0,0 +1,13 @@ +from typing import Any, NamedTuple, assert_type + +import numpy as np + +# Subtype of tuple[int, int] +class XYGrid(NamedTuple): + x_axis: int + y_axis: int + +arr: np.ndarray[XYGrid, Any] + +# Test shape property matches shape typevar +assert_type(arr.shape, XYGrid) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/shape_base.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/shape_base.pyi new file mode 100644 index 0000000000000000000000000000000000000000..e409a53bcef95ad549769011cf0a7d28ea78320e --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/shape_base.pyi @@ -0,0 +1,52 @@ +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt + +i8: np.int64 +f8: np.float64 + +AR_b: npt.NDArray[np.bool] +AR_i8: npt.NDArray[np.int64] +AR_f8: npt.NDArray[np.float64] + +AR_LIKE_f8: list[float] + +assert_type(np.take_along_axis(AR_f8, AR_i8, axis=1), npt.NDArray[np.float64]) +assert_type(np.take_along_axis(f8, AR_i8, axis=None), npt.NDArray[np.float64]) + +assert_type(np.put_along_axis(AR_f8, AR_i8, "1.0", axis=1), None) + +assert_type(np.expand_dims(AR_i8, 2), npt.NDArray[np.int64]) +assert_type(np.expand_dims(AR_LIKE_f8, 2), npt.NDArray[Any]) + +assert_type(np.column_stack([AR_i8]), npt.NDArray[np.int64]) +assert_type(np.column_stack([AR_LIKE_f8]), npt.NDArray[Any]) + +assert_type(np.dstack([AR_i8]), npt.NDArray[np.int64]) +assert_type(np.dstack([AR_LIKE_f8]), npt.NDArray[Any]) + +assert_type(np.array_split(AR_i8, [3, 5, 6, 10]), list[npt.NDArray[np.int64]]) +assert_type(np.array_split(AR_LIKE_f8, [3, 5, 6, 10]), list[npt.NDArray[Any]]) + +assert_type(np.split(AR_i8, [3, 5, 6, 10]), list[npt.NDArray[np.int64]]) +assert_type(np.split(AR_LIKE_f8, [3, 5, 6, 10]), list[npt.NDArray[Any]]) + +assert_type(np.hsplit(AR_i8, [3, 5, 6, 10]), list[npt.NDArray[np.int64]]) +assert_type(np.hsplit(AR_LIKE_f8, [3, 5, 6, 10]), list[npt.NDArray[Any]]) + +assert_type(np.vsplit(AR_i8, [3, 5, 6, 10]), list[npt.NDArray[np.int64]]) +assert_type(np.vsplit(AR_LIKE_f8, [3, 5, 6, 10]), list[npt.NDArray[Any]]) + +assert_type(np.dsplit(AR_i8, [3, 5, 6, 10]), list[npt.NDArray[np.int64]]) +assert_type(np.dsplit(AR_LIKE_f8, [3, 5, 6, 10]), list[npt.NDArray[Any]]) + +assert_type(np.kron(AR_b, AR_b), npt.NDArray[np.bool]) +assert_type(np.kron(AR_b, AR_i8), npt.NDArray[np.signedinteger]) +assert_type(np.kron(AR_f8, AR_f8), npt.NDArray[np.floating]) + +assert_type(np.tile(AR_i8, 5), npt.NDArray[np.int64]) +assert_type(np.tile(AR_LIKE_f8, [2, 2]), npt.NDArray[Any]) + +assert_type(np.unstack(AR_i8, axis=0), tuple[npt.NDArray[np.int64], ...]) +assert_type(np.unstack(AR_LIKE_f8, axis=0), tuple[npt.NDArray[Any], ...]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/stride_tricks.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/stride_tricks.pyi new file mode 100644 index 0000000000000000000000000000000000000000..8fde9b8ae30dd6dd25b1d4f6f68c1321e6f3c0a0 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/stride_tricks.pyi @@ -0,0 +1,27 @@ +from typing import Any, assert_type + +import numpy as np +import numpy.typing as npt + +AR_f8: npt.NDArray[np.float64] +AR_LIKE_f: list[float] +interface_dict: dict[str, Any] + +assert_type(np.lib.stride_tricks.as_strided(AR_f8), npt.NDArray[np.float64]) +assert_type(np.lib.stride_tricks.as_strided(AR_LIKE_f), npt.NDArray[Any]) +assert_type(np.lib.stride_tricks.as_strided(AR_f8, strides=(1, 5)), npt.NDArray[np.float64]) +assert_type(np.lib.stride_tricks.as_strided(AR_f8, shape=[9, 20]), npt.NDArray[np.float64]) + +assert_type(np.lib.stride_tricks.sliding_window_view(AR_f8, 5), npt.NDArray[np.float64]) +assert_type(np.lib.stride_tricks.sliding_window_view(AR_LIKE_f, (1, 5)), npt.NDArray[Any]) +assert_type(np.lib.stride_tricks.sliding_window_view(AR_f8, [9], axis=1), npt.NDArray[np.float64]) + +assert_type(np.broadcast_to(AR_f8, 5), npt.NDArray[np.float64]) +assert_type(np.broadcast_to(AR_LIKE_f, (1, 5)), npt.NDArray[Any]) +assert_type(np.broadcast_to(AR_f8, [4, 6], subok=True), npt.NDArray[np.float64]) + +assert_type(np.broadcast_shapes((1, 2), [3, 1], (3, 2)), tuple[Any, ...]) +assert_type(np.broadcast_shapes((6, 7), (5, 6, 1), 7, (5, 1, 7)), tuple[Any, ...]) + +assert_type(np.broadcast_arrays(AR_f8, AR_f8), tuple[npt.NDArray[Any], ...]) +assert_type(np.broadcast_arrays(AR_f8, AR_LIKE_f), tuple[npt.NDArray[Any], ...]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/strings.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/strings.pyi new file mode 100644 index 0000000000000000000000000000000000000000..18bd252d5ff90f34878ba34fd150bf17093cdc61 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/strings.pyi @@ -0,0 +1,196 @@ +from typing import TypeAlias, assert_type + +import numpy as np +import numpy._typing as np_t +import numpy.typing as npt + +AR_T_alias: TypeAlias = np.ndarray[np_t._AnyShape, np.dtypes.StringDType] +AR_TU_alias: TypeAlias = AR_T_alias | npt.NDArray[np.str_] + +AR_U: npt.NDArray[np.str_] +AR_S: npt.NDArray[np.bytes_] +AR_T: AR_T_alias + +assert_type(np.strings.equal(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.equal(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.equal(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.not_equal(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.not_equal(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.not_equal(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.greater_equal(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.greater_equal(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.greater_equal(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.less_equal(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.less_equal(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.less_equal(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.greater(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.greater(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.greater(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.less(AR_U, AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.less(AR_S, AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.less(AR_T, AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.add(AR_U, AR_U), npt.NDArray[np.str_]) +assert_type(np.strings.add(AR_S, AR_S), npt.NDArray[np.bytes_]) +assert_type(np.strings.add(AR_T, AR_T), AR_T_alias) + +assert_type(np.strings.multiply(AR_U, 5), npt.NDArray[np.str_]) +assert_type(np.strings.multiply(AR_S, [5, 4, 3]), npt.NDArray[np.bytes_]) +assert_type(np.strings.multiply(AR_T, 5), AR_T_alias) + +assert_type(np.strings.mod(AR_U, "test"), npt.NDArray[np.str_]) +assert_type(np.strings.mod(AR_S, "test"), npt.NDArray[np.bytes_]) +assert_type(np.strings.mod(AR_T, "test"), AR_T_alias) + +assert_type(np.strings.capitalize(AR_U), npt.NDArray[np.str_]) +assert_type(np.strings.capitalize(AR_S), npt.NDArray[np.bytes_]) +assert_type(np.strings.capitalize(AR_T), AR_T_alias) + +assert_type(np.strings.center(AR_U, 5), npt.NDArray[np.str_]) +assert_type(np.strings.center(AR_S, [2, 3, 4], b"a"), npt.NDArray[np.bytes_]) +assert_type(np.strings.center(AR_T, 5), AR_T_alias) + +assert_type(np.strings.encode(AR_U), npt.NDArray[np.bytes_]) +assert_type(np.strings.encode(AR_T), npt.NDArray[np.bytes_]) +assert_type(np.strings.decode(AR_S), npt.NDArray[np.str_]) + +assert_type(np.strings.expandtabs(AR_U), npt.NDArray[np.str_]) +assert_type(np.strings.expandtabs(AR_S, tabsize=4), npt.NDArray[np.bytes_]) +assert_type(np.strings.expandtabs(AR_T), AR_T_alias) + +assert_type(np.strings.ljust(AR_U, 5), npt.NDArray[np.str_]) +assert_type(np.strings.ljust(AR_S, [4, 3, 1], fillchar=[b"a", b"b", b"c"]), npt.NDArray[np.bytes_]) +assert_type(np.strings.ljust(AR_T, 5), AR_T_alias) +assert_type(np.strings.ljust(AR_T, [4, 2, 1], fillchar=["a", "b", "c"]), AR_T_alias) + +assert_type(np.strings.rjust(AR_U, 5), npt.NDArray[np.str_]) +assert_type(np.strings.rjust(AR_S, [4, 3, 1], fillchar=[b"a", b"b", b"c"]), npt.NDArray[np.bytes_]) +assert_type(np.strings.rjust(AR_T, 5), AR_T_alias) +assert_type(np.strings.rjust(AR_T, [4, 2, 1], fillchar=["a", "b", "c"]), AR_T_alias) + +assert_type(np.strings.lstrip(AR_U), npt.NDArray[np.str_]) +assert_type(np.strings.lstrip(AR_S, b"_"), npt.NDArray[np.bytes_]) +assert_type(np.strings.lstrip(AR_T), AR_T_alias) +assert_type(np.strings.lstrip(AR_T, "_"), AR_T_alias) + +assert_type(np.strings.rstrip(AR_U), npt.NDArray[np.str_]) +assert_type(np.strings.rstrip(AR_S, b"_"), npt.NDArray[np.bytes_]) +assert_type(np.strings.rstrip(AR_T), AR_T_alias) +assert_type(np.strings.rstrip(AR_T, "_"), AR_T_alias) + +assert_type(np.strings.strip(AR_U), npt.NDArray[np.str_]) +assert_type(np.strings.strip(AR_S, b"_"), npt.NDArray[np.bytes_]) +assert_type(np.strings.strip(AR_T), AR_T_alias) +assert_type(np.strings.strip(AR_T, "_"), AR_T_alias) + +assert_type(np.strings.count(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.strings.count(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(np.strings.count(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.strings.count(AR_T, ["a", "b", "c"], end=9), npt.NDArray[np.int_]) + +assert_type(np.strings.partition(AR_U, "\n"), npt.NDArray[np.str_]) +assert_type(np.strings.partition(AR_S, [b"a", b"b", b"c"]), npt.NDArray[np.bytes_]) +assert_type(np.strings.partition(AR_T, "\n"), AR_TU_alias) + +assert_type(np.strings.rpartition(AR_U, "\n"), npt.NDArray[np.str_]) +assert_type(np.strings.rpartition(AR_S, [b"a", b"b", b"c"]), npt.NDArray[np.bytes_]) +assert_type(np.strings.rpartition(AR_T, "\n"), AR_TU_alias) + +assert_type(np.strings.replace(AR_U, "_", "-"), npt.NDArray[np.str_]) +assert_type(np.strings.replace(AR_S, [b"_", b""], [b"a", b"b"]), npt.NDArray[np.bytes_]) +assert_type(np.strings.replace(AR_T, "_", "_"), AR_TU_alias) + +assert_type(np.strings.lower(AR_U), npt.NDArray[np.str_]) +assert_type(np.strings.lower(AR_S), npt.NDArray[np.bytes_]) +assert_type(np.strings.lower(AR_T), AR_T_alias) + +assert_type(np.strings.upper(AR_U), npt.NDArray[np.str_]) +assert_type(np.strings.upper(AR_S), npt.NDArray[np.bytes_]) +assert_type(np.strings.upper(AR_T), AR_T_alias) + +assert_type(np.strings.swapcase(AR_U), npt.NDArray[np.str_]) +assert_type(np.strings.swapcase(AR_S), npt.NDArray[np.bytes_]) +assert_type(np.strings.swapcase(AR_T), AR_T_alias) + +assert_type(np.strings.title(AR_U), npt.NDArray[np.str_]) +assert_type(np.strings.title(AR_S), npt.NDArray[np.bytes_]) +assert_type(np.strings.title(AR_T), AR_T_alias) + +assert_type(np.strings.zfill(AR_U, 5), npt.NDArray[np.str_]) +assert_type(np.strings.zfill(AR_S, [2, 3, 4]), npt.NDArray[np.bytes_]) +assert_type(np.strings.zfill(AR_T, 5), AR_T_alias) + +assert_type(np.strings.endswith(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.bool]) +assert_type(np.strings.endswith(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.bool]) +assert_type(np.strings.endswith(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.bool]) + +assert_type(np.strings.startswith(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.bool]) +assert_type(np.strings.startswith(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.bool]) +assert_type(np.strings.startswith(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.bool]) + +assert_type(np.strings.find(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.strings.find(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(np.strings.find(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) + +assert_type(np.strings.rfind(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.strings.rfind(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(np.strings.rfind(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) + +assert_type(np.strings.index(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.strings.index(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(np.strings.index(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) + +assert_type(np.strings.rindex(AR_U, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) +assert_type(np.strings.rindex(AR_S, [b"a", b"b", b"c"], end=9), npt.NDArray[np.int_]) +assert_type(np.strings.rindex(AR_T, "a", start=[1, 2, 3]), npt.NDArray[np.int_]) + +assert_type(np.strings.isalpha(AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.isalpha(AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.isalpha(AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.isalnum(AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.isalnum(AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.isalnum(AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.isdecimal(AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.isdecimal(AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.isdigit(AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.isdigit(AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.isdigit(AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.islower(AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.islower(AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.islower(AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.isnumeric(AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.isnumeric(AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.isspace(AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.isspace(AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.isspace(AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.istitle(AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.istitle(AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.istitle(AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.isupper(AR_U), npt.NDArray[np.bool]) +assert_type(np.strings.isupper(AR_S), npt.NDArray[np.bool]) +assert_type(np.strings.isupper(AR_T), npt.NDArray[np.bool]) + +assert_type(np.strings.str_len(AR_U), npt.NDArray[np.int_]) +assert_type(np.strings.str_len(AR_S), npt.NDArray[np.int_]) +assert_type(np.strings.str_len(AR_T), npt.NDArray[np.int_]) + +assert_type(np.strings.translate(AR_U, ""), npt.NDArray[np.str_]) +assert_type(np.strings.translate(AR_S, ""), npt.NDArray[np.bytes_]) +assert_type(np.strings.translate(AR_T, ""), AR_T_alias) + +assert_type(np.strings.slice(AR_U, 1, 5, 2), npt.NDArray[np.str_]) +assert_type(np.strings.slice(AR_S, 1, 5, 2), npt.NDArray[np.bytes_]) +assert_type(np.strings.slice(AR_T, 1, 5, 2), AR_T_alias) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/testing.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/testing.pyi new file mode 100644 index 0000000000000000000000000000000000000000..34fbc5feeb41b930293170c8ba78734a37a9eb07 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/testing.pyi @@ -0,0 +1,198 @@ +import contextlib +import re +import sys +import types +import unittest +import warnings +from collections.abc import Callable +from pathlib import Path +from typing import Any, TypeVar, assert_type + +import numpy as np +import numpy.typing as npt + +AR_f8: npt.NDArray[np.float64] +AR_i8: npt.NDArray[np.int64] + +bool_obj: bool +suppress_obj: np.testing.suppress_warnings # type: ignore[deprecated] # pyright: ignore[reportDeprecated] +FT = TypeVar("FT", bound=Callable[..., Any]) + +def func() -> int: ... + +def func2( + x: npt.NDArray[np.number], + y: npt.NDArray[np.number], +) -> npt.NDArray[np.bool]: ... + +assert_type(np.testing.KnownFailureException(), np.testing.KnownFailureException) +assert_type(np.testing.IgnoreException(), np.testing.IgnoreException) + +assert_type( + np.testing.clear_and_catch_warnings(modules=[np.testing]), + np.testing.clear_and_catch_warnings[None], +) +assert_type( + np.testing.clear_and_catch_warnings(True), + np.testing.clear_and_catch_warnings[list[warnings.WarningMessage]], +) +assert_type( + np.testing.clear_and_catch_warnings(False), + np.testing.clear_and_catch_warnings[None], +) +assert_type( + np.testing.clear_and_catch_warnings(bool_obj), + np.testing.clear_and_catch_warnings, +) +assert_type( + np.testing.clear_and_catch_warnings.class_modules, + tuple[types.ModuleType, ...], +) +assert_type( + np.testing.clear_and_catch_warnings.modules, + set[types.ModuleType], +) + +with np.testing.clear_and_catch_warnings(True) as c1: + assert_type(c1, list[warnings.WarningMessage]) +with np.testing.clear_and_catch_warnings() as c2: + assert_type(c2, None) + +assert_type(np.testing.suppress_warnings("once"), np.testing.suppress_warnings) # type: ignore[deprecated] # pyright: ignore[reportDeprecated] +assert_type(np.testing.suppress_warnings()(func), Callable[[], int]) # type: ignore[deprecated] # pyright: ignore[reportDeprecated] +assert_type(suppress_obj.filter(RuntimeWarning), None) +assert_type(suppress_obj.record(RuntimeWarning), list[warnings.WarningMessage]) +with suppress_obj as c3: + assert_type(c3, np.testing.suppress_warnings) # type: ignore[deprecated] # pyright: ignore[reportDeprecated] + +assert_type(np.testing.verbose, int) +assert_type(np.testing.IS_PYPY, bool) +assert_type(np.testing.HAS_REFCOUNT, bool) +assert_type(np.testing.HAS_LAPACK64, bool) + +assert_type(np.testing.assert_(1, msg="test"), None) +assert_type(np.testing.assert_(2, msg=lambda: "test"), None) + +if sys.platform == "win32" or sys.platform == "cygwin": + assert_type(np.testing.memusage(), int) +elif sys.platform == "linux": + assert_type(np.testing.memusage(), int | None) + +assert_type(np.testing.jiffies(), int) + +assert_type(np.testing.build_err_msg([0, 1, 2], "test"), str) +assert_type(np.testing.build_err_msg(range(2), "test", header="header"), str) +assert_type(np.testing.build_err_msg(np.arange(9).reshape(3, 3), "test", verbose=False), str) +assert_type(np.testing.build_err_msg("abc", "test", names=["x", "y"]), str) +assert_type(np.testing.build_err_msg([1.0, 2.0], "test", precision=5), str) + +assert_type(np.testing.assert_equal({1}, {1}), None) +assert_type(np.testing.assert_equal([1, 2, 3], [1, 2, 3], err_msg="fail"), None) +assert_type(np.testing.assert_equal(1, 1.0, verbose=True), None) + +assert_type(np.testing.print_assert_equal("Test XYZ of func xyz", [0, 1], [0, 1]), None) + +assert_type(np.testing.assert_almost_equal(1.0, 1.1), None) +assert_type(np.testing.assert_almost_equal([1, 2, 3], [1, 2, 3], err_msg="fail"), None) +assert_type(np.testing.assert_almost_equal(1, 1.0, verbose=True), None) +assert_type(np.testing.assert_almost_equal(1, 1.0001, decimal=2), None) + +assert_type(np.testing.assert_approx_equal(1.0, 1.1), None) +assert_type(np.testing.assert_approx_equal("1", "2", err_msg="fail"), None) +assert_type(np.testing.assert_approx_equal(1, 1.0, verbose=True), None) +assert_type(np.testing.assert_approx_equal(1, 1.0001, significant=2), None) + +assert_type(np.testing.assert_array_compare(func2, AR_i8, AR_f8, err_msg="test"), None) +assert_type(np.testing.assert_array_compare(func2, AR_i8, AR_f8, verbose=True), None) +assert_type(np.testing.assert_array_compare(func2, AR_i8, AR_f8, header="header"), None) +assert_type(np.testing.assert_array_compare(func2, AR_i8, AR_f8, precision=np.int64()), None) +assert_type(np.testing.assert_array_compare(func2, AR_i8, AR_f8, equal_nan=False), None) +assert_type(np.testing.assert_array_compare(func2, AR_i8, AR_f8, equal_inf=True), None) + +assert_type(np.testing.assert_array_equal(AR_i8, AR_f8), None) +assert_type(np.testing.assert_array_equal(AR_i8, AR_f8, err_msg="test"), None) +assert_type(np.testing.assert_array_equal(AR_i8, AR_f8, verbose=True), None) + +assert_type(np.testing.assert_array_almost_equal(AR_i8, AR_f8), None) +assert_type(np.testing.assert_array_almost_equal(AR_i8, AR_f8, err_msg="test"), None) +assert_type(np.testing.assert_array_almost_equal(AR_i8, AR_f8, verbose=True), None) +assert_type(np.testing.assert_array_almost_equal(AR_i8, AR_f8, decimal=1), None) + +assert_type(np.testing.assert_array_less(AR_i8, AR_f8), None) +assert_type(np.testing.assert_array_less(AR_i8, AR_f8, err_msg="test"), None) +assert_type(np.testing.assert_array_less(AR_i8, AR_f8, verbose=True), None) + +assert_type(np.testing.runstring("1 + 1", {}), Any) +assert_type(np.testing.runstring("int64() + 1", {"int64": np.int64}), Any) + +assert_type(np.testing.assert_string_equal("1", "1"), None) + +assert_type(np.testing.rundocs(), None) +assert_type(np.testing.rundocs("test.py"), None) +assert_type(np.testing.rundocs(Path("test.py"), raise_on_error=True), None) + +def func3(a: int) -> bool: ... + +assert_type( + np.testing.assert_raises(RuntimeWarning), + unittest.case._AssertRaisesContext[RuntimeWarning], +) +assert_type(np.testing.assert_raises(RuntimeWarning, func3, 5), None) + +assert_type( + np.testing.assert_raises_regex(RuntimeWarning, r"test"), + unittest.case._AssertRaisesContext[RuntimeWarning], +) +assert_type(np.testing.assert_raises_regex(RuntimeWarning, b"test", func3, 5), None) +assert_type(np.testing.assert_raises_regex(RuntimeWarning, re.compile(b"test"), func3, 5), None) + +class Test: ... + +def decorate(a: FT) -> FT: + return a + +assert_type(np.testing.decorate_methods(Test, decorate), None) +assert_type(np.testing.decorate_methods(Test, decorate, None), None) +assert_type(np.testing.decorate_methods(Test, decorate, "test"), None) +assert_type(np.testing.decorate_methods(Test, decorate, b"test"), None) +assert_type(np.testing.decorate_methods(Test, decorate, re.compile("test")), None) + +assert_type(np.testing.measure("for i in range(1000): np.sqrt(i**2)"), float) +assert_type(np.testing.measure(b"for i in range(1000): np.sqrt(i**2)", times=5), float) + +assert_type(np.testing.assert_allclose(AR_i8, AR_f8), None) +assert_type(np.testing.assert_allclose(AR_i8, AR_f8, rtol=0.005), None) +assert_type(np.testing.assert_allclose(AR_i8, AR_f8, atol=1), None) +assert_type(np.testing.assert_allclose(AR_i8, AR_f8, equal_nan=True), None) +assert_type(np.testing.assert_allclose(AR_i8, AR_f8, err_msg="err"), None) +assert_type(np.testing.assert_allclose(AR_i8, AR_f8, verbose=False), None) + +assert_type(np.testing.assert_array_almost_equal_nulp(AR_i8, AR_f8, nulp=2), None) + +assert_type(np.testing.assert_array_max_ulp(AR_i8, AR_f8, maxulp=2), npt.NDArray[Any]) +assert_type(np.testing.assert_array_max_ulp(AR_i8, AR_f8, dtype=np.float32), npt.NDArray[Any]) + +assert_type(np.testing.assert_warns(RuntimeWarning), contextlib._GeneratorContextManager[None]) # type: ignore[deprecated] # pyright: ignore[reportDeprecated] +assert_type(np.testing.assert_warns(RuntimeWarning, func3, 5), bool) # type: ignore[deprecated] # pyright: ignore[reportDeprecated] + +def func4(a: int, b: str) -> bool: ... + +assert_type(np.testing.assert_no_warnings(), contextlib._GeneratorContextManager[None]) +assert_type(np.testing.assert_no_warnings(func3, 5), bool) +assert_type(np.testing.assert_no_warnings(func4, a=1, b="test"), bool) +assert_type(np.testing.assert_no_warnings(func4, 1, "test"), bool) + +assert_type(np.testing.tempdir("test_dir"), contextlib._GeneratorContextManager[str]) +assert_type(np.testing.tempdir(prefix=b"test"), contextlib._GeneratorContextManager[bytes]) +assert_type(np.testing.tempdir("test_dir", dir=Path("here")), contextlib._GeneratorContextManager[str]) + +assert_type(np.testing.temppath("test_dir", text=True), contextlib._GeneratorContextManager[str]) +assert_type(np.testing.temppath(prefix=b"test"), contextlib._GeneratorContextManager[bytes]) +assert_type(np.testing.temppath("test_dir", dir=Path("here")), contextlib._GeneratorContextManager[str]) + +assert_type(np.testing.assert_no_gc_cycles(), contextlib._GeneratorContextManager[None]) +assert_type(np.testing.assert_no_gc_cycles(func3, 5), None) + +assert_type(np.testing.break_cycles(), None) + +assert_type(np.testing.TestCase(), unittest.case.TestCase) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/twodim_base.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/twodim_base.pyi new file mode 100644 index 0000000000000000000000000000000000000000..1fd17e36279bb87bf39fb26e3b3148945893f425 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/twodim_base.pyi @@ -0,0 +1,225 @@ +from typing import Any, TypeAlias, TypeVar, assert_type, type_check_only + +import numpy as np +import numpy.typing as npt + +_ScalarT = TypeVar("_ScalarT", bound=np.generic) + +_1D: TypeAlias = tuple[int] +_2D: TypeAlias = tuple[int, int] +_ND: TypeAlias = tuple[Any, ...] + +_Indices2D: TypeAlias = tuple[ + np.ndarray[_1D, np.dtype[np.intp]], + np.ndarray[_1D, np.dtype[np.intp]], +] + +### + +_nd_bool: np.ndarray[_ND, np.dtype[np.bool]] +_1d_bool: np.ndarray[_1D, np.dtype[np.bool]] +_2d_bool: np.ndarray[_2D, np.dtype[np.bool]] +_nd_u64: np.ndarray[_ND, np.dtype[np.uint64]] +_nd_i64: np.ndarray[_ND, np.dtype[np.int64]] +_nd_f64: np.ndarray[_ND, np.dtype[np.float64]] +_nd_c128: np.ndarray[_ND, np.dtype[np.complex128]] +_nd_obj: np.ndarray[_ND, np.dtype[np.object_]] + +_to_nd_bool: list[bool] | list[list[bool]] +_to_1d_bool: list[bool] +_to_2d_bool: list[list[bool]] + +_to_1d_f64: list[float] +_to_1d_c128: list[complex] + +@type_check_only +def func1(ar: npt.NDArray[_ScalarT], a: int) -> npt.NDArray[_ScalarT]: ... +@type_check_only +def func2(ar: npt.NDArray[np.number], a: str) -> npt.NDArray[np.float64]: ... + +@type_check_only +class _Cube: + shape = 3, 4 + ndim = 2 + +### + +# fliplr +assert_type(np.fliplr(_nd_bool), np.ndarray[_ND, np.dtype[np.bool]]) +assert_type(np.fliplr(_1d_bool), np.ndarray[_1D, np.dtype[np.bool]]) +assert_type(np.fliplr(_2d_bool), np.ndarray[_2D, np.dtype[np.bool]]) +assert_type(np.fliplr(_to_nd_bool), np.ndarray) +assert_type(np.fliplr(_to_1d_bool), np.ndarray) +assert_type(np.fliplr(_to_2d_bool), np.ndarray) + +# flipud +assert_type(np.flipud(_nd_bool), np.ndarray[_ND, np.dtype[np.bool]]) +assert_type(np.flipud(_1d_bool), np.ndarray[_1D, np.dtype[np.bool]]) +assert_type(np.flipud(_2d_bool), np.ndarray[_2D, np.dtype[np.bool]]) +assert_type(np.flipud(_to_nd_bool), np.ndarray) +assert_type(np.flipud(_to_1d_bool), np.ndarray) +assert_type(np.flipud(_to_2d_bool), np.ndarray) + +# eye +assert_type(np.eye(10), np.ndarray[_2D, np.dtype[np.float64]]) +assert_type(np.eye(10, M=20, dtype=np.int64), np.ndarray[_2D, np.dtype[np.int64]]) +assert_type(np.eye(10, k=2, dtype=int), np.ndarray[_2D]) + +# diag +assert_type(np.diag(_nd_bool), np.ndarray[_ND, np.dtype[np.bool]]) +assert_type(np.diag(_1d_bool), np.ndarray[_2D, np.dtype[np.bool]]) +assert_type(np.diag(_2d_bool), np.ndarray[_1D, np.dtype[np.bool]]) +assert_type(np.diag(_to_nd_bool, k=0), np.ndarray) +assert_type(np.diag(_to_1d_bool, k=0), np.ndarray[_2D]) +assert_type(np.diag(_to_2d_bool, k=0), np.ndarray[_1D]) + +# diagflat +assert_type(np.diagflat(_nd_bool), np.ndarray[_2D, np.dtype[np.bool]]) +assert_type(np.diagflat(_1d_bool), np.ndarray[_2D, np.dtype[np.bool]]) +assert_type(np.diagflat(_2d_bool), np.ndarray[_2D, np.dtype[np.bool]]) +assert_type(np.diagflat(_to_nd_bool, k=0), np.ndarray[_2D]) +assert_type(np.diagflat(_to_1d_bool, k=0), np.ndarray[_2D]) +assert_type(np.diagflat(_to_2d_bool, k=0), np.ndarray[_2D]) + +# tri +assert_type(np.tri(10), np.ndarray[_2D, np.dtype[np.float64]]) +assert_type(np.tri(10, M=20, dtype=np.int64), np.ndarray[_2D, np.dtype[np.int64]]) +assert_type(np.tri(10, k=2, dtype=int), np.ndarray[_2D]) + +# tril +assert_type(np.tril(_nd_bool), np.ndarray[_ND, np.dtype[np.bool]]) +assert_type(np.tril(_to_nd_bool, k=0), np.ndarray) +assert_type(np.tril(_to_1d_bool, k=0), np.ndarray) +assert_type(np.tril(_to_2d_bool, k=0), np.ndarray) + +# triu +assert_type(np.triu(_nd_bool), np.ndarray[_ND, np.dtype[np.bool]]) +assert_type(np.triu(_to_nd_bool, k=0), np.ndarray) +assert_type(np.triu(_to_1d_bool, k=0), np.ndarray) +assert_type(np.triu(_to_2d_bool, k=0), np.ndarray) + +# vander +assert_type(np.vander(_nd_bool), np.ndarray[_2D, np.dtype[np.int_]]) +assert_type(np.vander(_nd_u64), np.ndarray[_2D, np.dtype[np.uint64]]) +assert_type(np.vander(_nd_i64, N=2), np.ndarray[_2D, np.dtype[np.int64]]) +assert_type(np.vander(_nd_f64, increasing=True), np.ndarray[_2D, np.dtype[np.float64]]) +assert_type(np.vander(_nd_c128), np.ndarray[_2D, np.dtype[np.complex128]]) +assert_type(np.vander(_nd_obj), np.ndarray[_2D, np.dtype[np.object_]]) + +# histogram2d +assert_type( + np.histogram2d(_to_1d_f64, _to_1d_f64), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.float64]], + ], +) +assert_type( + np.histogram2d(_to_1d_c128, _to_1d_c128), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.complex128 | Any]], + np.ndarray[_1D, np.dtype[np.complex128 | Any]], + ], +) +assert_type( + np.histogram2d(_nd_i64, _nd_bool), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.float64]], + ], +) +assert_type( + np.histogram2d(_nd_f64, _nd_i64), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.float64]], + ], +) +assert_type( + np.histogram2d(_nd_i64, _nd_f64), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.float64]], + ], +) +assert_type( + np.histogram2d(_nd_f64, _nd_c128, weights=_to_1d_bool), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.complex128]], + np.ndarray[_1D, np.dtype[np.complex128]], + ], +) +assert_type( + np.histogram2d(_nd_f64, _nd_c128, bins=8), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.complex128]], + np.ndarray[_1D, np.dtype[np.complex128]], + ], +) +assert_type( + np.histogram2d(_nd_c128, _nd_f64, bins=(8, 5)), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.complex128]], + np.ndarray[_1D, np.dtype[np.complex128]], + ], +) +assert_type( + np.histogram2d(_nd_c128, _nd_i64, bins=_nd_u64), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.uint64]], + np.ndarray[_1D, np.dtype[np.uint64]], + ], +) +assert_type( + np.histogram2d(_nd_c128, _nd_c128, bins=(_nd_u64, _nd_u64)), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.uint64]], + np.ndarray[_1D, np.dtype[np.uint64]], + ], +) +assert_type( + np.histogram2d(_nd_c128, _nd_c128, bins=(_nd_bool, 8)), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.complex128 | np.bool]], + np.ndarray[_1D, np.dtype[np.complex128 | np.bool]], + ], +) +assert_type( + np.histogram2d(_nd_c128, _nd_c128, bins=(_to_1d_f64, 8)), + tuple[ + np.ndarray[_2D, np.dtype[np.float64]], + np.ndarray[_1D, np.dtype[np.complex128 | Any]], + np.ndarray[_1D, np.dtype[np.complex128 | Any]], + ], +) + +# mask_indices +assert_type(np.mask_indices(10, func1), _Indices2D) +assert_type(np.mask_indices(8, func2, "0"), _Indices2D) + +# tril_indices +assert_type(np.tril_indices(3), _Indices2D) +assert_type(np.tril_indices(3, 1), _Indices2D) +assert_type(np.tril_indices(3, 1, 2), _Indices2D) +# tril_indices +assert_type(np.triu_indices(3), _Indices2D) +assert_type(np.triu_indices(3, 1), _Indices2D) +assert_type(np.triu_indices(3, 1, 2), _Indices2D) + +# tril_indices_from +assert_type(np.tril_indices_from(_2d_bool), _Indices2D) +assert_type(np.tril_indices_from(_Cube()), _Indices2D) +# triu_indices_from +assert_type(np.triu_indices_from(_2d_bool), _Indices2D) +assert_type(np.triu_indices_from(_Cube()), _Indices2D) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/type_check.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/type_check.pyi new file mode 100644 index 0000000000000000000000000000000000000000..df95da78ffb7a4669b88310739bb710d7d41f6ae --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/type_check.pyi @@ -0,0 +1,67 @@ +from typing import Any, Literal, assert_type + +import numpy as np +import numpy.typing as npt + +f8: np.float64 +f: float + +# NOTE: Avoid importing the platform specific `np.float128` type +AR_i8: npt.NDArray[np.int64] +AR_i4: npt.NDArray[np.int32] +AR_f2: npt.NDArray[np.float16] +AR_f8: npt.NDArray[np.float64] +AR_f16: npt.NDArray[np.longdouble] +AR_c8: npt.NDArray[np.complex64] +AR_c16: npt.NDArray[np.complex128] + +AR_LIKE_f: list[float] + +class ComplexObj: + real: slice + imag: slice + +assert_type(np.mintypecode(["f8"], typeset="qfQF"), str) + +assert_type(np.real(ComplexObj()), slice) +assert_type(np.real(AR_f8), npt.NDArray[np.float64]) +assert_type(np.real(AR_c16), npt.NDArray[np.float64]) +assert_type(np.real(AR_LIKE_f), npt.NDArray[Any]) + +assert_type(np.imag(ComplexObj()), slice) +assert_type(np.imag(AR_f8), npt.NDArray[np.float64]) +assert_type(np.imag(AR_c16), npt.NDArray[np.float64]) +assert_type(np.imag(AR_LIKE_f), npt.NDArray[Any]) + +assert_type(np.iscomplex(f8), np.bool) +assert_type(np.iscomplex(AR_f8), npt.NDArray[np.bool]) +assert_type(np.iscomplex(AR_LIKE_f), npt.NDArray[np.bool]) + +assert_type(np.isreal(f8), np.bool) +assert_type(np.isreal(AR_f8), npt.NDArray[np.bool]) +assert_type(np.isreal(AR_LIKE_f), npt.NDArray[np.bool]) + +assert_type(np.iscomplexobj(f8), bool) +assert_type(np.isrealobj(f8), bool) + +assert_type(np.nan_to_num(f8), np.float64) +assert_type(np.nan_to_num(f, copy=True), Any) +assert_type(np.nan_to_num(AR_f8, nan=1.5), npt.NDArray[np.float64]) +assert_type(np.nan_to_num(AR_LIKE_f, posinf=9999), npt.NDArray[Any]) + +assert_type(np.real_if_close(AR_f8), npt.NDArray[np.float64]) +assert_type(np.real_if_close(AR_c16), npt.NDArray[np.float64 | np.complex128]) +assert_type(np.real_if_close(AR_c8), npt.NDArray[np.float32 | np.complex64]) +assert_type(np.real_if_close(AR_LIKE_f), npt.NDArray[Any]) + +assert_type(np.typename("h"), Literal["short"]) +assert_type(np.typename("B"), Literal["unsigned char"]) +assert_type(np.typename("V"), Literal["void"]) +assert_type(np.typename("S1"), Literal["character"]) + +assert_type(np.common_type(AR_i4), type[np.float64]) +assert_type(np.common_type(AR_f2), type[np.float16]) +assert_type(np.common_type(AR_f2, AR_i4), type[np.float64]) +assert_type(np.common_type(AR_f16, AR_i4), type[np.longdouble]) +assert_type(np.common_type(AR_c8, AR_f2), type[np.complex64]) +assert_type(np.common_type(AR_f2, AR_c8, AR_i4), type[np.complexfloating]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ufunc_config.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ufunc_config.pyi new file mode 100644 index 0000000000000000000000000000000000000000..77c27eb3b4cabcc70e823ceff2aad7f437c87e9c --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ufunc_config.pyi @@ -0,0 +1,29 @@ +"""Typing tests for `_core._ufunc_config`.""" + +from _typeshed import SupportsWrite +from collections.abc import Callable +from typing import Any, assert_type + +import numpy as np + +def func(a: str, b: int) -> None: ... + +class Write: + def write(self, value: str) -> None: ... + +assert_type(np.seterr(all=None), np._core._ufunc_config._ErrDict) +assert_type(np.seterr(divide="ignore"), np._core._ufunc_config._ErrDict) +assert_type(np.seterr(over="warn"), np._core._ufunc_config._ErrDict) +assert_type(np.seterr(under="call"), np._core._ufunc_config._ErrDict) +assert_type(np.seterr(invalid="raise"), np._core._ufunc_config._ErrDict) +assert_type(np.geterr(), np._core._ufunc_config._ErrDict) + +assert_type(np.setbufsize(4096), int) +assert_type(np.getbufsize(), int) + +assert_type(np.seterrcall(func), Callable[[str, int], Any] | SupportsWrite[str] | None) +assert_type(np.seterrcall(Write()), Callable[[str, int], Any] | SupportsWrite[str] | None) +assert_type(np.geterrcall(), Callable[[str, int], Any] | SupportsWrite[str] | None) + +assert_type(np.errstate(call=func, all="call"), np.errstate) +assert_type(np.errstate(call=Write(), divide="log", over="log"), np.errstate) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ufunclike.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ufunclike.pyi new file mode 100644 index 0000000000000000000000000000000000000000..c679b82d28367964f5cc15683fd3e388ced08ce1 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ufunclike.pyi @@ -0,0 +1,31 @@ +from typing import assert_type + +import numpy as np +import numpy.typing as npt + +AR_LIKE_b: list[bool] +AR_LIKE_u: list[np.uint32] +AR_LIKE_i: list[int] +AR_LIKE_f: list[float] +AR_LIKE_O: list[np.object_] + +AR_U: npt.NDArray[np.str_] + +assert_type(np.fix(AR_LIKE_b), npt.NDArray[np.floating]) # type: ignore[deprecated] +assert_type(np.fix(AR_LIKE_u), npt.NDArray[np.floating]) # type: ignore[deprecated] +assert_type(np.fix(AR_LIKE_i), npt.NDArray[np.floating]) # type: ignore[deprecated] +assert_type(np.fix(AR_LIKE_f), npt.NDArray[np.floating]) # type: ignore[deprecated] +assert_type(np.fix(AR_LIKE_O), npt.NDArray[np.object_]) # type: ignore[deprecated] +assert_type(np.fix(AR_LIKE_f, out=AR_U), npt.NDArray[np.str_]) # type: ignore[deprecated] + +assert_type(np.isposinf(AR_LIKE_b), npt.NDArray[np.bool]) +assert_type(np.isposinf(AR_LIKE_u), npt.NDArray[np.bool]) +assert_type(np.isposinf(AR_LIKE_i), npt.NDArray[np.bool]) +assert_type(np.isposinf(AR_LIKE_f), npt.NDArray[np.bool]) +assert_type(np.isposinf(AR_LIKE_f, out=AR_U), npt.NDArray[np.str_]) + +assert_type(np.isneginf(AR_LIKE_b), npt.NDArray[np.bool]) +assert_type(np.isneginf(AR_LIKE_u), npt.NDArray[np.bool]) +assert_type(np.isneginf(AR_LIKE_i), npt.NDArray[np.bool]) +assert_type(np.isneginf(AR_LIKE_f), npt.NDArray[np.bool]) +assert_type(np.isneginf(AR_LIKE_f, out=AR_U), npt.NDArray[np.str_]) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ufuncs.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ufuncs.pyi new file mode 100644 index 0000000000000000000000000000000000000000..eda92f2117c6d64e4f0718f3270f70e103496ea9 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/ufuncs.pyi @@ -0,0 +1,142 @@ +from typing import Any, Literal, NoReturn, assert_type + +import numpy as np +import numpy.typing as npt + +i8: np.int64 +f8: np.float64 +AR_f8: npt.NDArray[np.float64] +AR_i8: npt.NDArray[np.int64] + +assert_type(np.absolute.__doc__, str) +assert_type(np.absolute.types, list[str]) + +assert_type(np.absolute.__name__, Literal["absolute"]) +assert_type(np.absolute.__qualname__, Literal["absolute"]) +assert_type(np.absolute.ntypes, Literal[20]) +assert_type(np.absolute.identity, None) +assert_type(np.absolute.nin, Literal[1]) +assert_type(np.absolute.nin, Literal[1]) +assert_type(np.absolute.nout, Literal[1]) +assert_type(np.absolute.nargs, Literal[2]) +assert_type(np.absolute.signature, None) +assert_type(np.absolute(f8), Any) +assert_type(np.absolute(AR_f8), npt.NDArray[Any]) +assert_type(np.absolute.at(AR_f8, AR_i8), None) + +assert_type(np.add.__name__, Literal["add"]) +assert_type(np.add.__qualname__, Literal["add"]) +assert_type(np.add.ntypes, Literal[22]) +assert_type(np.add.identity, Literal[0]) +assert_type(np.add.nin, Literal[2]) +assert_type(np.add.nout, Literal[1]) +assert_type(np.add.nargs, Literal[3]) +assert_type(np.add.signature, None) +assert_type(np.add(f8, f8), Any) +assert_type(np.add(AR_f8, f8), npt.NDArray[Any]) +assert_type(np.add.at(AR_f8, AR_i8, f8), None) +assert_type(np.add.reduce(AR_f8, axis=0), Any) +assert_type(np.add.accumulate(AR_f8), npt.NDArray[Any]) +assert_type(np.add.reduceat(AR_f8, AR_i8), npt.NDArray[Any]) +assert_type(np.add.outer(f8, f8), Any) +assert_type(np.add.outer(AR_f8, f8), npt.NDArray[Any]) + +assert_type(np.frexp.__name__, Literal["frexp"]) +assert_type(np.frexp.__qualname__, Literal["frexp"]) +assert_type(np.frexp.ntypes, Literal[4]) +assert_type(np.frexp.identity, None) +assert_type(np.frexp.nin, Literal[1]) +assert_type(np.frexp.nout, Literal[2]) +assert_type(np.frexp.nargs, Literal[3]) +assert_type(np.frexp.signature, None) +assert_type(np.frexp(f8), tuple[Any, Any]) +assert_type(np.frexp(AR_f8), tuple[npt.NDArray[Any], npt.NDArray[Any]]) + +assert_type(np.divmod.__name__, Literal["divmod"]) +assert_type(np.divmod.__qualname__, Literal["divmod"]) +assert_type(np.divmod.ntypes, Literal[15]) +assert_type(np.divmod.identity, None) +assert_type(np.divmod.nin, Literal[2]) +assert_type(np.divmod.nout, Literal[2]) +assert_type(np.divmod.nargs, Literal[4]) +assert_type(np.divmod.signature, None) +assert_type(np.divmod(f8, f8), tuple[Any, Any]) +assert_type(np.divmod(AR_f8, f8), tuple[npt.NDArray[Any], npt.NDArray[Any]]) + +assert_type(np.matmul.__name__, Literal["matmul"]) +assert_type(np.matmul.__qualname__, Literal["matmul"]) +assert_type(np.matmul.ntypes, Literal[19]) +assert_type(np.matmul.identity, None) +assert_type(np.matmul.nin, Literal[2]) +assert_type(np.matmul.nout, Literal[1]) +assert_type(np.matmul.nargs, Literal[3]) +assert_type(np.matmul.signature, Literal["(n?,k),(k,m?)->(n?,m?)"]) +assert_type(np.matmul.identity, None) +assert_type(np.matmul(AR_f8, AR_f8), Any) +assert_type(np.matmul(AR_f8, AR_f8, axes=[(0, 1), (0, 1), (0, 1)]), Any) + +assert_type(np.vecdot.__name__, Literal["vecdot"]) +assert_type(np.vecdot.__qualname__, Literal["vecdot"]) +assert_type(np.vecdot.ntypes, Literal[19]) +assert_type(np.vecdot.identity, None) +assert_type(np.vecdot.nin, Literal[2]) +assert_type(np.vecdot.nout, Literal[1]) +assert_type(np.vecdot.nargs, Literal[3]) +assert_type(np.vecdot.signature, Literal["(n),(n)->()"]) +assert_type(np.vecdot.identity, None) +assert_type(np.vecdot(AR_f8, AR_f8), Any) + +assert_type(np.bitwise_count.__name__, Literal["bitwise_count"]) +assert_type(np.bitwise_count.__qualname__, Literal["bitwise_count"]) +assert_type(np.bitwise_count.ntypes, Literal[11]) +assert_type(np.bitwise_count.identity, None) +assert_type(np.bitwise_count.nin, Literal[1]) +assert_type(np.bitwise_count.nout, Literal[1]) +assert_type(np.bitwise_count.nargs, Literal[2]) +assert_type(np.bitwise_count.signature, None) +assert_type(np.bitwise_count.identity, None) +assert_type(np.bitwise_count(i8), Any) +assert_type(np.bitwise_count(AR_i8), npt.NDArray[Any]) + +def test_absolute_outer_invalid() -> None: + assert_type(np.absolute.outer(AR_f8, AR_f8), NoReturn) # type: ignore[arg-type] +def test_frexp_outer_invalid() -> None: + assert_type(np.frexp.outer(AR_f8, AR_f8), NoReturn) # type: ignore[arg-type] +def test_divmod_outer_invalid() -> None: + assert_type(np.divmod.outer(AR_f8, AR_f8), NoReturn) # type: ignore[arg-type] +def test_matmul_outer_invalid() -> None: + assert_type(np.matmul.outer(AR_f8, AR_f8), NoReturn) # type: ignore[arg-type] + +def test_absolute_reduceat_invalid() -> None: + assert_type(np.absolute.reduceat(AR_f8, AR_i8), NoReturn) # type: ignore[arg-type] +def test_frexp_reduceat_invalid() -> None: + assert_type(np.frexp.reduceat(AR_f8, AR_i8), NoReturn) # type: ignore[arg-type] +def test_divmod_reduceat_invalid() -> None: + assert_type(np.divmod.reduceat(AR_f8, AR_i8), NoReturn) # type: ignore[arg-type] +def test_matmul_reduceat_invalid() -> None: + assert_type(np.matmul.reduceat(AR_f8, AR_i8), NoReturn) # type: ignore[arg-type] + +def test_absolute_reduce_invalid() -> None: + assert_type(np.absolute.reduce(AR_f8), NoReturn) # type: ignore[arg-type] +def test_frexp_reduce_invalid() -> None: + assert_type(np.frexp.reduce(AR_f8), NoReturn) # type: ignore[arg-type] +def test_divmod_reduce_invalid() -> None: + assert_type(np.divmod.reduce(AR_f8), NoReturn) # type: ignore[arg-type] +def test_matmul_reduce_invalid() -> None: + assert_type(np.matmul.reduce(AR_f8), NoReturn) # type: ignore[arg-type] + +def test_absolute_accumulate_invalid() -> None: + assert_type(np.absolute.accumulate(AR_f8), NoReturn) # type: ignore[arg-type] +def test_frexp_accumulate_invalid() -> None: + assert_type(np.frexp.accumulate(AR_f8), NoReturn) # type: ignore[arg-type] +def test_divmod_accumulate_invalid() -> None: + assert_type(np.divmod.accumulate(AR_f8), NoReturn) # type: ignore[arg-type] +def test_matmul_accumulate_invalid() -> None: + assert_type(np.matmul.accumulate(AR_f8), NoReturn) # type: ignore[arg-type] + +def test_frexp_at_invalid() -> None: + assert_type(np.frexp.at(AR_f8, i8), NoReturn) # type: ignore[arg-type] +def test_divmod_at_invalid() -> None: + assert_type(np.divmod.at(AR_f8, i8, AR_f8), NoReturn) # type: ignore[arg-type] +def test_matmul_at_invalid() -> None: + assert_type(np.matmul.at(AR_f8, i8, AR_f8), NoReturn) # type: ignore[arg-type] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/warnings_and_errors.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/warnings_and_errors.pyi new file mode 100644 index 0000000000000000000000000000000000000000..f756a8e45d46629d499612c5452932811dc95084 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/data/reveal/warnings_and_errors.pyi @@ -0,0 +1,11 @@ +from typing import assert_type + +import numpy.exceptions as ex + +assert_type(ex.ModuleDeprecationWarning(), ex.ModuleDeprecationWarning) +assert_type(ex.VisibleDeprecationWarning(), ex.VisibleDeprecationWarning) +assert_type(ex.ComplexWarning(), ex.ComplexWarning) +assert_type(ex.RankWarning(), ex.RankWarning) +assert_type(ex.TooHardError(), ex.TooHardError) +assert_type(ex.AxisError("test"), ex.AxisError) +assert_type(ex.AxisError(5, 1), ex.AxisError) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/test_isfile.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/test_isfile.py new file mode 100644 index 0000000000000000000000000000000000000000..0e3157a1e54df6962c25b0b7a72a387b333156bb --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/test_isfile.py @@ -0,0 +1,38 @@ +import os +import sys +from pathlib import Path + +import pytest + +import numpy as np +from numpy.testing import assert_ + +ROOT = Path(np.__file__).parents[0] +FILES = [ + ROOT / "py.typed", + ROOT / "__init__.pyi", + ROOT / "ctypeslib" / "__init__.pyi", + ROOT / "_core" / "__init__.pyi", + ROOT / "f2py" / "__init__.pyi", + ROOT / "fft" / "__init__.pyi", + ROOT / "lib" / "__init__.pyi", + ROOT / "linalg" / "__init__.pyi", + ROOT / "ma" / "__init__.pyi", + ROOT / "matrixlib" / "__init__.pyi", + ROOT / "polynomial" / "__init__.pyi", + ROOT / "random" / "__init__.pyi", + ROOT / "testing" / "__init__.pyi", +] +if sys.version_info < (3, 12): + FILES += [ROOT / "distutils" / "__init__.pyi"] + + +@pytest.mark.thread_unsafe( + reason="os.path has a thread-safety bug (python/cpython#140054). " + "Expected to only be a problem in 3.14.0" +) +class TestIsFile: + def test_isfile(self): + """Test if all ``.pyi`` files are properly installed.""" + for file in FILES: + assert_(os.path.isfile(file)) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/test_runtime.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/test_runtime.py new file mode 100644 index 0000000000000000000000000000000000000000..462fe4eabdc024655807eb42394f0e244213500e --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/test_runtime.py @@ -0,0 +1,110 @@ +"""Test the runtime usage of `numpy.typing`.""" + +from typing import ( + Any, + NamedTuple, + Union, # pyright: ignore[reportDeprecated] + get_args, + get_origin, + get_type_hints, +) + +import pytest + +import numpy as np +import numpy._typing as _npt +import numpy.typing as npt + + +class TypeTup(NamedTuple): + typ: type + args: tuple[type, ...] + origin: type | None + + +def _flatten_type_alias(t: Any) -> Any: + # "flattens" a TypeAliasType to its underlying type alias + return getattr(t, "__value__", t) + + +NDArrayTup = TypeTup(npt.NDArray, npt.NDArray.__args__, np.ndarray) + +TYPES = { + "ArrayLike": TypeTup( + _flatten_type_alias(npt.ArrayLike), + _flatten_type_alias(npt.ArrayLike).__args__, + Union, + ), + "DTypeLike": TypeTup( + _flatten_type_alias(npt.DTypeLike), + _flatten_type_alias(npt.DTypeLike).__args__, + Union, + ), + "NBitBase": TypeTup(npt.NBitBase, (), None), # type: ignore[deprecated] # pyright: ignore[reportDeprecated] + "NDArray": NDArrayTup, +} + + +@pytest.mark.parametrize("name,tup", TYPES.items(), ids=TYPES.keys()) +def test_get_args(name: type, tup: TypeTup) -> None: + """Test `typing.get_args`.""" + typ, ref = tup.typ, tup.args + out = get_args(typ) + assert out == ref + + +@pytest.mark.parametrize("name,tup", TYPES.items(), ids=TYPES.keys()) +def test_get_origin(name: type, tup: TypeTup) -> None: + """Test `typing.get_origin`.""" + typ, ref = tup.typ, tup.origin + out = get_origin(typ) + assert out == ref + + +@pytest.mark.parametrize("name,tup", TYPES.items(), ids=TYPES.keys()) +def test_get_type_hints(name: type, tup: TypeTup) -> None: + """Test `typing.get_type_hints`.""" + typ = tup.typ + + def func(a: typ) -> None: pass + + out = get_type_hints(func) + ref = {"a": typ, "return": type(None)} + assert out == ref + + +@pytest.mark.parametrize("name,tup", TYPES.items(), ids=TYPES.keys()) +def test_get_type_hints_str(name: type, tup: TypeTup) -> None: + """Test `typing.get_type_hints` with string-representation of types.""" + typ_str, typ = f"npt.{name}", tup.typ + + def func(a: typ_str) -> None: pass + + out = get_type_hints(func) + ref = {"a": getattr(npt, str(name)), "return": type(None)} + assert out == ref + + +def test_keys() -> None: + """Test that ``TYPES.keys()`` and ``numpy.typing.__all__`` are synced.""" + keys = TYPES.keys() + ref = set(npt.__all__) + assert keys == ref + + +PROTOCOLS: dict[str, tuple[type[Any], object]] = { + "_SupportsArray": (_npt._SupportsArray, np.arange(10)), + "_SupportsArrayFunc": (_npt._SupportsArrayFunc, np.arange(10)), + "_NestedSequence": (_npt._NestedSequence, [1]), +} + + +@pytest.mark.parametrize("cls,obj", PROTOCOLS.values(), ids=PROTOCOLS.keys()) +class TestRuntimeProtocol: + def test_isinstance(self, cls: type[Any], obj: object) -> None: + assert isinstance(obj, cls) + assert not isinstance(None, cls) + + def test_issubclass(self, cls: type[Any], obj: object) -> None: + assert issubclass(type(obj), cls) + assert not issubclass(type(None), cls) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/test_typing.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/test_typing.py new file mode 100644 index 0000000000000000000000000000000000000000..ca4cf37fec3b6e151b2396af6f1532cdf1dd49c7 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/typing/tests/test_typing.py @@ -0,0 +1,205 @@ +import importlib.util +import os +import re +import shutil +import textwrap +from collections import defaultdict +from typing import TYPE_CHECKING + +import pytest + +# Only trigger a full `mypy` run if this environment variable is set +# Note that these tests tend to take over a minute even on a macOS M1 CPU, +# and more than that in CI. +RUN_MYPY = "NPY_RUN_MYPY_IN_TESTSUITE" in os.environ +if RUN_MYPY and RUN_MYPY not in ('0', '', 'false'): + RUN_MYPY = True + +# Skips all functions in this file +pytestmark = pytest.mark.skipif( + not RUN_MYPY, + reason="`NPY_RUN_MYPY_IN_TESTSUITE` not set" +) + + +try: + from mypy import api +except ImportError: + NO_MYPY = True +else: + NO_MYPY = False + +if TYPE_CHECKING: + from collections.abc import Iterator + + # We need this as annotation, but it's located in a private namespace. + # As a compromise, do *not* import it during runtime + from _pytest.mark.structures import ParameterSet + +DATA_DIR = os.path.join(os.path.dirname(__file__), "data") +PASS_DIR = os.path.join(DATA_DIR, "pass") +FAIL_DIR = os.path.join(DATA_DIR, "fail") +REVEAL_DIR = os.path.join(DATA_DIR, "reveal") +MISC_DIR = os.path.join(DATA_DIR, "misc") +MYPY_INI = os.path.join(DATA_DIR, "mypy.ini") +CACHE_DIR = os.path.join(DATA_DIR, ".mypy_cache") + +#: A dictionary with file names as keys and lists of the mypy stdout as values. +#: To-be populated by `run_mypy`. +OUTPUT_MYPY: defaultdict[str, list[str]] = defaultdict(list) + + +def _key_func(key: str) -> str: + """Split at the first occurrence of the ``:`` character. + + Windows drive-letters (*e.g.* ``C:``) are ignored herein. + """ + drive, tail = os.path.splitdrive(key) + return os.path.join(drive, tail.split(":", 1)[0]) + + +def _strip_filename(msg: str) -> tuple[int, str]: + """Strip the filename and line number from a mypy message.""" + _, tail = os.path.splitdrive(msg) + _, lineno, msg = tail.split(":", 2) + return int(lineno), msg.strip() + + +def strip_func(match: re.Match[str]) -> str: + """`re.sub` helper function for stripping module names.""" + return match.groups()[1] + + +@pytest.fixture(scope="module", autouse=True) +def run_mypy() -> None: + """Clears the cache and run mypy before running any of the typing tests. + + The mypy results are cached in `OUTPUT_MYPY` for further use. + + The cache refresh can be skipped using + + NUMPY_TYPING_TEST_CLEAR_CACHE=0 pytest numpy/typing/tests + """ + if ( + os.path.isdir(CACHE_DIR) + and bool(os.environ.get("NUMPY_TYPING_TEST_CLEAR_CACHE", True)) # noqa: PLW1508 + ): + shutil.rmtree(CACHE_DIR) + + split_pattern = re.compile(r"(\s+)?\^(\~+)?") + for directory in (PASS_DIR, REVEAL_DIR, FAIL_DIR, MISC_DIR): + # Run mypy + stdout, stderr, exit_code = api.run([ + "--config-file", + MYPY_INI, + "--cache-dir", + CACHE_DIR, + directory, + ]) + if stderr: + pytest.fail(f"Unexpected mypy standard error\n\n{stderr}", False) + elif exit_code not in {0, 1}: + pytest.fail(f"Unexpected mypy exit code: {exit_code}\n\n{stdout}", False) + + str_concat = "" + filename: str | None = None + for i in stdout.split("\n"): + if "note:" in i: + continue + if filename is None: + filename = _key_func(i) + + str_concat += f"{i}\n" + if split_pattern.match(i) is not None: + OUTPUT_MYPY[filename].append(str_concat) + str_concat = "" + filename = None + + +def get_test_cases(*directories: str) -> "Iterator[ParameterSet]": + for directory in directories: + for root, _, files in os.walk(directory): + for fname in files: + short_fname, ext = os.path.splitext(fname) + if ext not in (".pyi", ".py"): + continue + + fullpath = os.path.join(root, fname) + yield pytest.param(fullpath, id=short_fname) + + +_FAIL_INDENT = " " * 4 +_FAIL_SEP = "\n" + "_" * 79 + "\n\n" + +_FAIL_MSG_REVEAL = """{}:{} - reveal mismatch: + +{}""" + + +@pytest.mark.slow +@pytest.mark.skipif(NO_MYPY, reason="Mypy is not installed") +@pytest.mark.parametrize("path", get_test_cases(PASS_DIR, FAIL_DIR)) +def test_pass(path) -> None: + # Alias `OUTPUT_MYPY` so that it appears in the local namespace + output_mypy = OUTPUT_MYPY + + if path not in output_mypy: + return + + relpath = os.path.relpath(path) + + # collect any reported errors, and clean up the output + messages = [] + for message in output_mypy[path]: + lineno, content = _strip_filename(message) + content = content.removeprefix("error:").lstrip() + messages.append(f"{relpath}:{lineno} - {content}") + + if messages: + pytest.fail("\n".join(messages), pytrace=False) + + +@pytest.mark.slow +@pytest.mark.skipif(NO_MYPY, reason="Mypy is not installed") +@pytest.mark.parametrize("path", get_test_cases(REVEAL_DIR)) +def test_reveal(path: str) -> None: + """Validate that mypy correctly infers the return-types of + the expressions in `path`. + """ + __tracebackhide__ = True + + output_mypy = OUTPUT_MYPY + if path not in output_mypy: + return + + relpath = os.path.relpath(path) + + # collect any reported errors, and clean up the output + failures = [] + for error_line in output_mypy[path]: + lineno, error_msg = _strip_filename(error_line) + error_msg = textwrap.indent(error_msg, _FAIL_INDENT) + reason = _FAIL_MSG_REVEAL.format(relpath, lineno, error_msg) + failures.append(reason) + + if failures: + reasons = _FAIL_SEP.join(failures) + pytest.fail(reasons, pytrace=False) + + +@pytest.mark.slow +@pytest.mark.skipif(NO_MYPY, reason="Mypy is not installed") +@pytest.mark.parametrize("path", get_test_cases(PASS_DIR)) +def test_code_runs(path: str) -> None: + """Validate that the code in `path` properly during runtime.""" + path_without_extension, _ = os.path.splitext(path) + dirname, filename = path.split(os.sep)[-2:] + + spec = importlib.util.spec_from_file_location( + f"{dirname}.{filename}", path + ) + assert spec is not None + assert spec.loader is not None + + test_module = importlib.util.module_from_spec(spec) + spec.loader.exec_module(test_module) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/version.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/version.py new file mode 100644 index 0000000000000000000000000000000000000000..322885ab8db15602eb803e27efbb0a0b9fb8da24 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/version.py @@ -0,0 +1,11 @@ + +""" +Module to expose more detailed version info for the installed `numpy` +""" +version = "2.4.6" +__version__ = version +full_version = version + +git_revision = "b832a09cf2a169c833dd2371e7c07aa00b293242" +release = 'dev' not in version and '+' not in version +short_version = version.split("+")[0] diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/version.pyi b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/version.pyi new file mode 100644 index 0000000000000000000000000000000000000000..073885c017c2a9c34e41431d0d9361de4b59ff90 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/numpy/version.pyi @@ -0,0 +1,9 @@ +from typing import Final, LiteralString + +version: Final[LiteralString] = ... +__version__: Final[LiteralString] = ... +full_version: Final[LiteralString] = ... + +git_revision: Final[LiteralString] = ... +release: Final[bool] = ... +short_version: Final[LiteralString] = ... diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/INSTALLER b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/INSTALLER new file mode 100644 index 0000000000000000000000000000000000000000..a34a7e56db35cc4c85bfa166244b3d63a6a240d4 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/INSTALLER @@ -0,0 +1 @@ +conda diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/METADATA b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/METADATA new file mode 100644 index 0000000000000000000000000000000000000000..9a85a75b1f53f042eedc6731042e96f5a96ed6da --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/METADATA @@ -0,0 +1,112 @@ +Metadata-Version: 2.4 +Name: packaging +Version: 26.3 +Summary: Core utilities for Python packages +Author-email: Donald Stufft +Requires-Python: >=3.9 +Description-Content-Type: text/x-rst +License-Expression: Apache-2.0 OR BSD-2-Clause +Classifier: Development Status :: 5 - Production/Stable +Classifier: Intended Audience :: Developers +Classifier: Programming Language :: Python +Classifier: Programming Language :: Python :: 3 +Classifier: Programming Language :: Python :: 3 :: Only +Classifier: Programming Language :: Python :: 3.9 +Classifier: Programming Language :: Python :: 3.10 +Classifier: Programming Language :: Python :: 3.11 +Classifier: Programming Language :: Python :: 3.12 +Classifier: Programming Language :: Python :: 3.13 +Classifier: Programming Language :: Python :: 3.14 +Classifier: Programming Language :: Python :: 3.15 +Classifier: Programming Language :: Python :: Implementation :: CPython +Classifier: Programming Language :: Python :: Implementation :: PyPy +Classifier: Programming Language :: Python :: Free Threading :: 4 - Resilient +Classifier: Typing :: Typed +License-File: LICENSE +License-File: LICENSE.APACHE +License-File: LICENSE.BSD +Project-URL: Documentation, https://packaging.pypa.io/ +Project-URL: Source, https://github.com/pypa/packaging + +packaging +========= + +.. start-intro + +Reusable core utilities for various Python Packaging +`interoperability specifications `_. + +This library provides utilities that implement the interoperability +specifications which have clearly one correct behaviour (eg: :pep:`440`) +or benefit greatly from having a single shared implementation (eg: :pep:`425`). + +.. end-intro + +The ``packaging`` project includes the following: version handling, specifiers, +markers, requirements, tags, metadata, lockfiles, utilities. + +Documentation +------------- + +The `documentation`_ provides information and the API for the following: + +- Version Handling +- Specifiers +- Markers +- Licenses +- Requirements +- Metadata +- Tags +- Lockfiles (pylock) +- Direct URL helpers +- Dependency groups +- Errors +- Utilities + +Installation +------------ + +Use ``pip`` to install these utilities:: + + pip install packaging + +The ``packaging`` library uses calendar-based versioning (``YY.N``). + +Discussion +---------- + +If you run into bugs, you can file them in our `issue tracker`_. + +You can also join discussions on `GitHub Discussions`_ to ask questions or get involved. + +.. _`documentation`: https://packaging.pypa.io/ +.. _`issue tracker`: https://github.com/pypa/packaging/issues +.. _`GitHub Discussions`: https://github.com/pypa/packaging/discussions + + +Code of Conduct +--------------- + +Everyone interacting in the packaging project's codebases, issue trackers, chat +rooms, and mailing lists is expected to follow the `PSF Code of Conduct`_. + +.. _PSF Code of Conduct: https://github.com/pypa/.github/blob/main/CODE_OF_CONDUCT.md + +Contributing +------------ + +The ``CONTRIBUTING.rst`` file outlines how to contribute to this project as +well as how to report a potential security issue. The documentation for this +project also covers information about `project development`_ and `security`_. + +.. _`project development`: https://packaging.pypa.io/en/latest/development/ +.. _`security`: https://packaging.pypa.io/en/latest/security/ + +Project History +--------------- + +Please review the ``CHANGELOG.rst`` file or the `Changelog documentation`_ for +recent changes and project history. + +.. _`Changelog documentation`: https://packaging.pypa.io/en/latest/changelog/ + diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/RECORD b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/RECORD new file mode 100644 index 0000000000000000000000000000000000000000..e206bd85a3eb05a0d1d6d67dbb8190aeb81b02fe --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/RECORD @@ -0,0 +1,54 @@ 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0000000000000000000000000000000000000000..f4f1e04c5ebeede083d09ffedfbe5edc9639b424 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/direct_url.json @@ -0,0 +1 @@ +{"dir_info": {}, "url": "file:///home/conda/feedstock_root/build_artifacts/bld/rattler-build_packaging_1785888127/work"} \ No newline at end of file diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/licenses/LICENSE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/licenses/LICENSE new file mode 100644 index 0000000000000000000000000000000000000000..6f62d44e4ef733c0e713afcd2371fed7f2b3de67 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/licenses/LICENSE @@ -0,0 +1,3 @@ +This software is made available under the terms of *either* of the licenses +found in LICENSE.APACHE or LICENSE.BSD. Contributions to this software is made +under the terms of *both* these licenses. diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/licenses/LICENSE.APACHE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/licenses/LICENSE.APACHE new file mode 100644 index 0000000000000000000000000000000000000000..f433b1a53f5b830a205fd2df78e2b34974656c7b --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/licenses/LICENSE.APACHE @@ -0,0 +1,177 @@ + + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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In no event and under no legal theory, + whether in tort (including negligence), contract, or otherwise, + unless required by applicable law (such as deliberate and grossly + negligent acts) or agreed to in writing, shall any Contributor be + liable to You for damages, including any direct, indirect, special, + incidental, or consequential damages of any character arising as a + result of this License or out of the use or inability to use the + Work (including but not limited to damages for loss of goodwill, + work stoppage, computer failure or malfunction, or any and all + other commercial damages or losses), even if such Contributor + has been advised of the possibility of such damages. + + 9. Accepting Warranty or Additional Liability. While redistributing + the Work or Derivative Works thereof, You may choose to offer, + and charge a fee for, acceptance of support, warranty, indemnity, + or other liability obligations and/or rights consistent with this + License. However, in accepting such obligations, You may act only + on Your own behalf and on Your sole responsibility, not on behalf + of any other Contributor, and only if You agree to indemnify, + defend, and hold each Contributor harmless for any liability + incurred by, or claims asserted against, such Contributor by reason + of your accepting any such warranty or additional liability. + + END OF TERMS AND CONDITIONS diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/licenses/LICENSE.BSD b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/licenses/LICENSE.BSD new file mode 100644 index 0000000000000000000000000000000000000000..42ce7b75c92fb01a3f6ed17eea363f756b7da582 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging-26.3.dist-info/licenses/LICENSE.BSD @@ -0,0 +1,23 @@ +Copyright (c) Donald Stufft and individual contributors. +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + + 1. Redistributions of source code must retain the above copyright notice, + this list of conditions and the following disclaimer. + + 2. Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND +ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED +WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE +FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL +DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR +SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, +OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..5a969154fefef91c98d6c42a5a709745ced5d0f8 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/__init__.py @@ -0,0 +1,15 @@ +# This file is dual licensed under the terms of the Apache License, Version +# 2.0, and the BSD License. See the LICENSE file in the root of this repository +# for complete details. + +__title__ = "packaging" +__summary__ = "Core utilities for Python packages" +__uri__ = "https://github.com/pypa/packaging" + +__version__ = "26.3" + +__author__ = "Donald Stufft and individual contributors" +__email__ = "donald@stufft.io" + +__license__ = "BSD-2-Clause or Apache-2.0" +__copyright__ = f"2014 {__author__}" diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/__pycache__/__init__.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..e1eece1cdf8360ca4a7bf38d9fc77723ea4a0b25 Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/__pycache__/__init__.cpython-311.pyc differ diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/__pycache__/_elffile.cpython-311.pyc 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Only the read interface is implemented. + +ELF header: https://refspecs.linuxfoundation.org/elf/gabi4+/ch4.eheader.html +""" + +from __future__ import annotations + +import enum +import os +import struct +from typing import IO + + +class ELFInvalid(ValueError): + pass + + +class EIClass(enum.IntEnum): + C32 = 1 + C64 = 2 + + +class EIData(enum.IntEnum): + Lsb = 1 + Msb = 2 + + +class EMachine(enum.IntEnum): + I386 = 3 + S390 = 22 + Arm = 40 + X8664 = 62 + AArch64 = 183 + + +class ELFFile: + """ + Representation of an ELF executable. + """ + + def __init__(self, f: IO[bytes]) -> None: + self._f = f + + try: + ident = self._read("16B") + except struct.error as e: + raise ELFInvalid("unable to parse identification") from e + magic = bytes(ident[:4]) + if magic != b"\x7fELF": + raise ELFInvalid(f"invalid magic: {magic!r}") + + self.capacity = ident[4] # Format for program header (bitness). + self.encoding = ident[5] # Data structure encoding (endianness). + + try: + # e_fmt: Format for the ELF header. + # p_fmt: Format for a program header. + # p_idx: Indexes to find p_type, p_offset, and p_filesz. + e_fmt, self._p_fmt, self._p_idx = { + (1, 1): ("HHIIIIIHHH", ">IIIIIIII", (0, 1, 4)), # 32-bit MSB. + (2, 1): ("HHIQQQIHHH", ">IIQQQQQQ", (0, 2, 5)), # 64-bit MSB. + }[(self.capacity, self.encoding)] + except KeyError as e: + raise ELFInvalid( + f"unrecognized capacity ({self.capacity}) or encoding ({self.encoding})" + ) from e + + try: + ( + _, + self.machine, # Architecture type. + _, + _, + self._e_phoff, # Offset of program header. + _, + self.flags, # Processor-specific flags. + _, + self._e_phentsize, # Size of a program header entry. + self._e_phnum, # Number of program headers. + ) = self._read(e_fmt) + except struct.error as e: + raise ELFInvalid("unable to parse machine and section information") from e + + def _read(self, fmt: str) -> tuple[int, ...]: + return struct.unpack(fmt, self._f.read(struct.calcsize(fmt))) + + @property + def interpreter(self) -> str | None: + """ + The path recorded in the ``PT_INTERP`` section header. + """ + for index in range(self._e_phnum): + self._f.seek(self._e_phoff + self._e_phentsize * index) + try: + data = self._read(self._p_fmt) + except struct.error: + continue + if data[self._p_idx[0]] != 3: # Not PT_INTERP. + continue + self._f.seek(data[self._p_idx[1]]) + return os.fsdecode(self._f.read(data[self._p_idx[2]])).strip("\0") + return None diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_manylinux.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_manylinux.py new file mode 100644 index 0000000000000000000000000000000000000000..86de1e6d599dbe5e8426eb130db5e8558cb47d58 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_manylinux.py @@ -0,0 +1,278 @@ +from __future__ import annotations + +import collections +import contextlib +import functools +import os +import re +import sys +import warnings +from typing import TYPE_CHECKING, NamedTuple + +from ._elffile import EIClass, EIData, ELFFile, EMachine + +if TYPE_CHECKING: + import types + from collections.abc import Generator, Iterator, Sequence + +EF_ARM_ABIMASK = 0xFF000000 +EF_ARM_ABI_VER5 = 0x05000000 +EF_ARM_ABI_FLOAT_HARD = 0x00000400 + +_ALLOWED_ARCHS = { + "x86_64", + "aarch64", + "ppc64", + "ppc64le", + "s390x", + "loongarch64", + "riscv64", +} + + +@contextlib.contextmanager +def _parse_elf(path: str) -> Generator[ELFFile | None, None, None]: + try: + with open(path, "rb") as f: + yield ELFFile(f) + except (OSError, TypeError, ValueError): + yield None + + +def _is_linux_armhf(executable: str) -> bool: + # hard-float ABI can be detected from the ELF header of the running + # process + # https://static.docs.arm.com/ihi0044/g/aaelf32.pdf + with _parse_elf(executable) as f: + return ( + f is not None + and f.capacity == EIClass.C32 + and f.encoding == EIData.Lsb + and f.machine == EMachine.Arm + and f.flags & EF_ARM_ABIMASK == EF_ARM_ABI_VER5 + and f.flags & EF_ARM_ABI_FLOAT_HARD == EF_ARM_ABI_FLOAT_HARD + ) + + +def _is_linux_i686(executable: str) -> bool: + with _parse_elf(executable) as f: + return ( + f is not None + and f.capacity == EIClass.C32 + and f.encoding == EIData.Lsb + and f.machine == EMachine.I386 + ) + + +def _have_compatible_abi(executable: str, archs: Sequence[str]) -> bool: + if "armv7l" in archs: + return _is_linux_armhf(executable) + if "i686" in archs: + return _is_linux_i686(executable) + return any(arch in _ALLOWED_ARCHS for arch in archs) + + +# If glibc ever changes its major version, we need to know what the last +# minor version was, so we can build the complete list of all versions. +# For now, guess what the highest minor version might be, assume it will +# be 50 for testing. Once this actually happens, update the dictionary +# with the actual value. +_LAST_GLIBC_MINOR: dict[int, int] = collections.defaultdict(lambda: 50) + + +class _GLibCVersion(NamedTuple): + major: int + minor: int + + +def _glibc_version_string_confstr() -> str | None: + """ + Primary implementation of glibc_version_string using os.confstr. + """ + # os.confstr is quite a bit faster than ctypes.DLL. It's also less likely + # to be broken or missing. This strategy is used in the standard library + # platform module. + # https://github.com/python/cpython/blob/fcf1d003bf4f0100c/Lib/platform.py#L175-L183 + try: + # Should be a string like "glibc 2.17". + version_string: str | None = os.confstr("CS_GNU_LIBC_VERSION") + assert version_string is not None + _, version = version_string.rsplit() + except (AssertionError, AttributeError, OSError, ValueError): + # os.confstr() or CS_GNU_LIBC_VERSION not available (or a bad value)... + return None + return version + + +def _glibc_version_string_ctypes() -> str | None: + """ + Fallback implementation of glibc_version_string using ctypes. + """ + try: + import ctypes # noqa: PLC0415 + except ImportError: + return None + + # ctypes.CDLL(None) internally calls dlopen(NULL), and as the dlopen + # manpage says, "If filename is NULL, then the returned handle is for the + # main program". This way we can let the linker do the work to figure out + # which libc our process is actually using. + # + # We must also handle the special case where the executable is not a + # dynamically linked executable. This can occur when using musl libc, + # for example. In this situation, dlopen() will error, leading to an + # OSError. Interestingly, at least in the case of musl, there is no + # errno set on the OSError. The single string argument used to construct + # OSError comes from libc itself and is therefore not portable to + # hard code here. In any case, failure to call dlopen() means we + # can proceed, so we bail on our attempt. + try: + process_namespace = ctypes.CDLL(None) + except OSError: + return None + + try: + gnu_get_libc_version = process_namespace.gnu_get_libc_version + except AttributeError: + # Symbol doesn't exist -> therefore, we are not linked to + # glibc. + return None + + # Call gnu_get_libc_version, which returns a string like "2.5". + gnu_get_libc_version.restype = ctypes.c_char_p + # A c_char_p restype comes back as bytes, so decode to text. + version_str: str | bytes = gnu_get_libc_version() + if isinstance(version_str, bytes): + version_str = version_str.decode("ascii") + + return version_str + + +def _glibc_version_string() -> str | None: + """Returns glibc version string, or None if not using glibc.""" + return _glibc_version_string_confstr() or _glibc_version_string_ctypes() + + +def _parse_glibc_version(version_str: str) -> _GLibCVersion: + """Parse glibc version. + + We use a regexp instead of str.split because we want to discard any + random junk that might come after the minor version -- this might happen + in patched/forked versions of glibc (e.g. Linaro's version of glibc + uses version strings like "2.20-2014.11"). See gh-3588. + """ + m = re.match(r"(?P[0-9]+)\.(?P[0-9]+)", version_str) + if not m: + warnings.warn( + f"Expected glibc version with 2 components major.minor, got: {version_str}", + RuntimeWarning, + stacklevel=2, + ) + return _GLibCVersion(-1, -1) + return _GLibCVersion(int(m.group("major")), int(m.group("minor"))) + + +@functools.lru_cache +def _get_glibc_version() -> _GLibCVersion: + version_str = _glibc_version_string() + if version_str is None: + return _GLibCVersion(-1, -1) + return _parse_glibc_version(version_str) + + +# From PEP 513, PEP 600 +@functools.lru_cache(maxsize=1) +def _get_manylinux_module() -> types.ModuleType | None: + """Return the ``_manylinux`` C extension module, or None if unavailable. + + The result is cached for the lifetime of the process, since the presence + of the module does not change while running. + """ + try: + return __import__("_manylinux") + except ImportError: + return None + + +def _is_compatible(arch: str, version: _GLibCVersion) -> bool: + sys_glibc = _get_glibc_version() + if sys_glibc < version: + return False + # Check for presence of _manylinux module. + manylinux_mod = _get_manylinux_module() + if manylinux_mod is None: + return True + if hasattr(manylinux_mod, "manylinux_compatible"): + result = manylinux_mod.manylinux_compatible(version[0], version[1], arch) + if result is not None: + return bool(result) + return True + if version == _GLibCVersion(2, 5) and hasattr( + manylinux_mod, "manylinux1_compatible" + ): + return bool(manylinux_mod.manylinux1_compatible) + if version == _GLibCVersion(2, 12) and hasattr( + manylinux_mod, "manylinux2010_compatible" + ): + return bool(manylinux_mod.manylinux2010_compatible) + if version == _GLibCVersion(2, 17) and hasattr( + manylinux_mod, "manylinux2014_compatible" + ): + return bool(manylinux_mod.manylinux2014_compatible) + return True + + +_LEGACY_MANYLINUX_MAP: dict[_GLibCVersion, str] = { + # CentOS 7 w/ glibc 2.17 (PEP 599) + _GLibCVersion(2, 17): "manylinux2014", + # CentOS 6 w/ glibc 2.12 (PEP 571) + _GLibCVersion(2, 12): "manylinux2010", + # CentOS 5 w/ glibc 2.5 (PEP 513) + _GLibCVersion(2, 5): "manylinux1", +} + + +def platform_tags(archs: Sequence[str]) -> Iterator[str]: + """Generate manylinux tags compatible to the current platform. + + :param archs: Sequence of compatible architectures. + The first one shall be the closest to the actual architecture and be the part of + platform tag after the ``linux_`` prefix, e.g. ``x86_64``. + The ``linux_`` prefix is assumed as a prerequisite for the current platform to + be manylinux-compatible. + + :returns: An iterator of compatible manylinux tags. + """ + if not _have_compatible_abi(sys.executable, archs): + return + # Oldest glibc to be supported regardless of architecture is (2, 17). + too_old_glibc2 = _GLibCVersion(2, 16) + if set(archs) & {"x86_64", "i686"}: + # On x86/i686 also oldest glibc to be supported is (2, 5). + too_old_glibc2 = _GLibCVersion(2, 4) + current_glibc = _GLibCVersion(*_get_glibc_version()) + glibc_max_list = [current_glibc] + # We can assume compatibility across glibc major versions. + # https://sourceware.org/bugzilla/show_bug.cgi?id=24636 + # + # Build a list of maximum glibc versions so that we can + # output the canonical list of all glibc from current_glibc + # down to too_old_glibc2, including all intermediary versions. + for glibc_major in range(current_glibc.major - 1, 1, -1): + glibc_minor = _LAST_GLIBC_MINOR[glibc_major] + glibc_max_list.append(_GLibCVersion(glibc_major, glibc_minor)) + for arch in archs: + for glibc_max in glibc_max_list: + if glibc_max.major == too_old_glibc2.major: + min_minor = too_old_glibc2.minor + else: + # For other glibc major versions oldest supported is (x, 0). + min_minor = -1 + for glibc_minor in range(glibc_max.minor, min_minor, -1): + glibc_version = _GLibCVersion(glibc_max.major, glibc_minor) + if _is_compatible(arch, glibc_version): + yield "manylinux_{}_{}_{}".format(*glibc_version, arch) + + # Handle the legacy manylinux1, manylinux2010, manylinux2014 tags. + if legacy_tag := _LEGACY_MANYLINUX_MAP.get(glibc_version): + yield f"{legacy_tag}_{arch}" diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_musllinux.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_musllinux.py new file mode 100644 index 0000000000000000000000000000000000000000..74c4136f535085c88902c00f506f0c4ccad67188 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_musllinux.py @@ -0,0 +1,88 @@ +"""PEP 656 support. + +This module implements logic to detect if the currently running Python is +linked against musl, and what musl version is used. +""" + +from __future__ import annotations + +import functools +import re +import subprocess +import sys +from typing import TYPE_CHECKING, NamedTuple + +from ._elffile import ELFFile + +if TYPE_CHECKING: + from collections.abc import Iterator, Sequence + + +class _MuslVersion(NamedTuple): + major: int + minor: int + + +def _parse_musl_version(output: str) -> _MuslVersion | None: + lines = [n for n in (n.strip() for n in output.splitlines()) if n] + if len(lines) < 2 or lines[0][:4] != "musl": + return None + m = re.match(r"Version (\d+)\.(\d+)", lines[1]) + if not m: + return None + return _MuslVersion(major=int(m.group(1)), minor=int(m.group(2))) + + +@functools.lru_cache +def _get_musl_version(executable: str) -> _MuslVersion | None: + """Detect currently-running musl runtime version. + + This is done by checking the specified executable's dynamic linking + information, and invoking the loader to parse its output for a version + string. If the loader is musl, the output would be something like:: + + musl libc (x86_64) + Version 1.2.2 + Dynamic Program Loader + """ + try: + with open(executable, "rb") as f: + ld = ELFFile(f).interpreter + except (OSError, TypeError, ValueError): + return None + if ld is None or "musl" not in ld: + return None + proc = subprocess.run([ld], check=False, stderr=subprocess.PIPE, text=True) + return _parse_musl_version(proc.stderr) + + +def platform_tags(archs: Sequence[str]) -> Iterator[str]: + """Generate musllinux tags compatible to the current platform. + + :param archs: Sequence of compatible architectures. + The first one shall be the closest to the actual architecture and be the part of + platform tag after the ``linux_`` prefix, e.g. ``x86_64``. + The ``linux_`` prefix is assumed as a prerequisite for the current platform to + be musllinux-compatible. + + :returns: An iterator of compatible musllinux tags. + """ + sys_musl = _get_musl_version(sys.executable) + if sys_musl is None: # Python not dynamically linked against musl. + return + for arch in archs: + for minor in range(sys_musl.minor, -1, -1): + yield f"musllinux_{sys_musl.major}_{minor}_{arch}" + + +if __name__ == "__main__": # pragma: no cover + import sysconfig + + plat = sysconfig.get_platform() + assert plat.startswith("linux-"), "not linux" + + print("plat:", plat) + print("musl:", _get_musl_version(sys.executable)) + print("tags:", end=" ") + for t in platform_tags([re.sub(r"[.-]", "_", plat.split("-", 1)[-1])]): + print(t, end="\n ") diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_parser.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_parser.py new file mode 100644 index 0000000000000000000000000000000000000000..9331b4b4c0120e8d09496ef3e4d4be876fb6c0f1 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_parser.py @@ -0,0 +1,418 @@ +"""Handwritten parser of dependency specifiers. + +The docstring for each __parse_* function contains EBNF-inspired grammar representing +the implementation. +""" + +from __future__ import annotations + +import ast +from collections.abc import Sequence +from typing import Literal, NamedTuple, Union + +from ._tokenizer import DEFAULT_RULES, ParserSyntaxError, Tokenizer + + +class Node: + __slots__ = ("value",) + + def __init__(self, value: str) -> None: + self.value = value + + def __str__(self) -> str: + return self.value + + def __repr__(self) -> str: + return f"<{self.__class__.__name__}({self.value!r})>" + + def serialize(self) -> str: + raise NotImplementedError + + def __getstate__(self) -> str: + # Return just the value string for compactness and stability. + return self.value + + def _restore_value(self, value: object) -> None: + if not isinstance(value, str): + raise TypeError( + f"Cannot restore {self.__class__.__name__} value from {value!r}" + ) + self.value = value + + def __setstate__(self, state: object) -> None: + if isinstance(state, str): + # New format (26.2+): just the value string. + self._restore_value(state) + return + if isinstance(state, tuple) and len(state) == 2: + # Old format (packaging <= 26.0, __slots__): (None, {slot: value}). + _, slot_dict = state + if isinstance(slot_dict, dict) and "value" in slot_dict: + self._restore_value(slot_dict["value"]) + return + if isinstance(state, dict) and "value" in state: + # Old format (packaging <= 25.0, no __slots__): plain __dict__. + self._restore_value(state["value"]) + return + raise TypeError(f"Cannot restore {self.__class__.__name__} from {state!r}") + + +class Variable(Node): + __slots__ = () + + def serialize(self) -> str: + return str(self) + + +class Value(Node): + __slots__ = () + + def serialize(self) -> str: + value = str(self) + if '"' not in value: + return f'"{value}"' + if "'" not in value: + return f"'{value}'" + raise ValueError( + "Cannot serialize marker value containing both quote characters" + ) + + +class Op(Node): + __slots__ = () + + def serialize(self) -> str: + return str(self) + + +MarkerLogical = Literal["and", "or"] +MarkerVar = Union[Variable, Value] +MarkerItem = tuple[MarkerVar, Op, MarkerVar] +MarkerAtom = Union[MarkerItem, Sequence["MarkerAtom"]] +MarkerList = list[Union["MarkerList", MarkerAtom, MarkerLogical]] + + +class ParsedRequirement(NamedTuple): + name: str + url: str + extras: list[str] + specifier: str + marker: MarkerList | None + + +# -------------------------------------------------------------------------------------- +# Recursive descent parser for dependency specifier +# -------------------------------------------------------------------------------------- +def parse_requirement(source: str) -> ParsedRequirement: + return _parse_requirement(Tokenizer(source, rules=DEFAULT_RULES)) + + +def _parse_requirement(tokenizer: Tokenizer) -> ParsedRequirement: + """ + requirement = WS? IDENTIFIER WS? extras WS? requirement_details + """ + tokenizer.consume("WS") + + name_token = tokenizer.expect( + "IDENTIFIER", expected="package name at the start of dependency specifier" + ) + name = name_token.text + tokenizer.consume("WS") + + extras = _parse_extras(tokenizer) + tokenizer.consume("WS") + + url, specifier, marker = _parse_requirement_details(tokenizer) + tokenizer.expect("END", expected="end of dependency specifier") + + return ParsedRequirement(name, url, extras, specifier, marker) + + +def _parse_requirement_details( + tokenizer: Tokenizer, +) -> tuple[str, str, MarkerList | None]: + """ + requirement_details = AT URL (WS requirement_marker?)? + | specifier WS? (requirement_marker)? + """ + + specifier = "" + url = "" + marker = None + + if tokenizer.check("AT"): + tokenizer.read() + tokenizer.consume("WS") + + url_start = tokenizer.position + url = tokenizer.expect("URL", expected="URL after @").text + if tokenizer.check("END", peek=True): + return (url, specifier, marker) + + tokenizer.expect("WS", expected="whitespace after URL") + + # The input might end after whitespace. + if tokenizer.check("END", peek=True): + return (url, specifier, marker) + + marker = _parse_requirement_marker( + tokenizer, + span_start=url_start, + expected="semicolon (after URL and whitespace)", + ) + else: + specifier_start = tokenizer.position + specifier = _parse_specifier(tokenizer) + tokenizer.consume("WS") + + if tokenizer.check("END", peek=True): + return (url, specifier, marker) + + marker = _parse_requirement_marker( + tokenizer, + span_start=specifier_start, + expected=( + "comma (within version specifier), semicolon (after version specifier)" + if specifier + else "semicolon (after name with no version specifier)" + ), + ) + + return (url, specifier, marker) + + +def _parse_requirement_marker( + tokenizer: Tokenizer, *, span_start: int, expected: str +) -> MarkerList: + """ + requirement_marker = SEMICOLON marker WS? + """ + + if not tokenizer.check("SEMICOLON"): + tokenizer.raise_syntax_error( + f"Expected {expected} or end", + span_start=span_start, + span_end=None, + ) + tokenizer.read() + + marker = _parse_marker(tokenizer) + tokenizer.consume("WS") + + return marker + + +def _parse_extras(tokenizer: Tokenizer) -> list[str]: + """ + extras = (LEFT_BRACKET wsp* extras_list? wsp* RIGHT_BRACKET)? + """ + if not tokenizer.check("LEFT_BRACKET", peek=True): + return [] + + with tokenizer.enclosing_tokens( + "LEFT_BRACKET", + "RIGHT_BRACKET", + around="extras", + ): + tokenizer.consume("WS") + extras = _parse_extras_list(tokenizer) + tokenizer.consume("WS") + + return extras + + +def _parse_extras_list(tokenizer: Tokenizer) -> list[str]: + """ + extras_list = identifier (wsp* ',' wsp* identifier)* + """ + extras: list[str] = [] + + if not tokenizer.check("IDENTIFIER"): + return extras + + extras.append(tokenizer.read().text) + + while True: + tokenizer.consume("WS") + if tokenizer.check("IDENTIFIER", peek=True): + tokenizer.raise_syntax_error("Expected comma between extra names") + elif not tokenizer.check("COMMA"): + break + + tokenizer.read() + tokenizer.consume("WS") + + extra_token = tokenizer.expect("IDENTIFIER", expected="extra name after comma") + extras.append(extra_token.text) + + return extras + + +def _parse_specifier(tokenizer: Tokenizer) -> str: + """ + specifier = LEFT_PARENTHESIS WS? version_many WS? RIGHT_PARENTHESIS + | WS? version_many WS? + """ + with tokenizer.enclosing_tokens( + "LEFT_PARENTHESIS", + "RIGHT_PARENTHESIS", + around="version specifier", + ): + tokenizer.consume("WS") + parsed_specifiers = _parse_version_many(tokenizer) + tokenizer.consume("WS") + + return parsed_specifiers + + +def _parse_version_many(tokenizer: Tokenizer) -> str: + """ + version_many = (SPECIFIER (WS? COMMA WS? SPECIFIER)*)? + """ + parsed_specifiers = "" + while tokenizer.check("SPECIFIER"): + span_start = tokenizer.position + specifier = tokenizer.read().text + parsed_specifiers += specifier + if tokenizer.check("VERSION_PREFIX_TRAIL", peek=True): + message = ".* suffix can only be used with `==` or `!=` operators" + if specifier.startswith("!=") or ( + specifier.startswith("==") and not specifier.startswith("===") + ): + message = ( + ".* suffix cannot be used with pre-release, post-release, " + "dev or local versions" + ) + tokenizer.raise_syntax_error( + message, + span_start=span_start, + span_end=tokenizer.position + 1, + ) + if tokenizer.check("VERSION_LOCAL_LABEL_TRAIL", peek=True): + tokenizer.raise_syntax_error( + "Local version label can only be used with `==` or `!=` operators", + span_start=span_start, + span_end=tokenizer.position, + ) + tokenizer.consume("WS") + if not tokenizer.check("COMMA"): + break + parsed_specifiers += tokenizer.read().text + tokenizer.consume("WS") + + return parsed_specifiers + + +# -------------------------------------------------------------------------------------- +# Recursive descent parser for marker expression +# -------------------------------------------------------------------------------------- +def parse_marker(source: str) -> MarkerList: + return _parse_full_marker(Tokenizer(source, rules=DEFAULT_RULES)) + + +def _parse_full_marker(tokenizer: Tokenizer) -> MarkerList: + retval = _parse_marker(tokenizer) + tokenizer.expect("END", expected="end of marker expression") + return retval + + +def _parse_marker(tokenizer: Tokenizer) -> MarkerList: + """ + marker = marker_atom (BOOLOP marker_atom)+ + """ + expression = [_parse_marker_atom(tokenizer)] + while tokenizer.check("BOOLOP"): + token = tokenizer.read() + expr_right = _parse_marker_atom(tokenizer) + expression.extend((token.text, expr_right)) + return expression + + +def _parse_marker_atom(tokenizer: Tokenizer) -> MarkerAtom: + """ + marker_atom = WS? LEFT_PARENTHESIS WS? marker WS? RIGHT_PARENTHESIS WS? + | WS? marker_item WS? + """ + + tokenizer.consume("WS") + if tokenizer.check("LEFT_PARENTHESIS", peek=True): + with tokenizer.enclosing_tokens( + "LEFT_PARENTHESIS", + "RIGHT_PARENTHESIS", + around="marker expression", + ): + tokenizer.consume("WS") + marker: MarkerAtom = _parse_marker(tokenizer) + tokenizer.consume("WS") + else: + marker = _parse_marker_item(tokenizer) + tokenizer.consume("WS") + return marker + + +def _parse_marker_item(tokenizer: Tokenizer) -> MarkerItem: + """ + marker_item = WS? marker_var WS? marker_op WS? marker_var WS? + """ + tokenizer.consume("WS") + marker_var_left = _parse_marker_var(tokenizer) + tokenizer.consume("WS") + marker_op = _parse_marker_op(tokenizer) + tokenizer.consume("WS") + marker_var_right = _parse_marker_var(tokenizer) + tokenizer.consume("WS") + return (marker_var_left, marker_op, marker_var_right) + + +def _parse_marker_var(tokenizer: Tokenizer) -> MarkerVar: # noqa: RET503 + """ + marker_var = VARIABLE | QUOTED_STRING + """ + if tokenizer.check("VARIABLE"): + return process_env_var(tokenizer.read().text.replace(".", "_")) + elif tokenizer.check("QUOTED_STRING"): + token = tokenizer.read() + try: + return process_python_str(token.text) + except (SyntaxError, ValueError) as exc: + raise ParserSyntaxError( + "Invalid quoted string", + source=tokenizer.source, + span=(token.position, token.position + len(token.text)), + ) from exc + else: + tokenizer.raise_syntax_error( + message="Expected a marker variable or quoted string" + ) + + +def process_env_var(env_var: str) -> Variable: + if env_var in ("platform_python_implementation", "python_implementation"): + return Variable("platform_python_implementation") + else: + return Variable(env_var) + + +def process_python_str(python_str: str) -> Value: + value = ast.literal_eval(python_str) + return Value(str(value)) + + +def _parse_marker_op(tokenizer: Tokenizer) -> Op: + """ + marker_op = IN | NOT IN | OP + """ + if tokenizer.check("IN"): + tokenizer.read() + return Op("in") + elif tokenizer.check("NOT"): + tokenizer.read() + tokenizer.expect("WS", expected="whitespace after 'not'") + tokenizer.expect("IN", expected="'in' after 'not'") + return Op("not in") + elif tokenizer.check("OP"): + return Op(tokenizer.read().text) + else: + return tokenizer.raise_syntax_error( + "Expected marker operator, one of <=, <, !=, ==, >=, >, ~=, ===, in, not in" + ) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_ranges.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_ranges.py new file mode 100644 index 0000000000000000000000000000000000000000..5370ec87e61881a9f290d5764411328366b46dbf --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_ranges.py @@ -0,0 +1,836 @@ +# This file is dual licensed under the terms of the Apache License, Version +# 2.0, and the BSD License. See the LICENSE file in the root of this repository +# for complete details. +"""Private version-range helpers used by :mod:`packaging.specifiers`.""" + +from __future__ import annotations + +import enum +import functools +from typing import ( + TYPE_CHECKING, + Any, + Final, +) + +from .version import InvalidVersion, Version + +if TYPE_CHECKING: + from collections.abc import Callable, Iterable, Iterator, Sequence + from typing import Union + + # Total-order key for comparing two boundaries (boundary-vs-boundary only). + # The post slot may be ``_BOUNDARY_INF`` for an AFTER_POSTS boundary. + _BoundaryOrderSuffix = tuple[int, int, int, Union[int, float], int, int] + _BoundaryOrderKey = tuple[int, tuple[int, ...], _BoundaryOrderSuffix, float] + +__all__ = [ + "FULL_RANGE", + "bounds_for_spec", + "coerce_version", + "filter_by_ranges", + "intersect_ranges", + "intersect_specifier_bounds", + "least_version_above", + "matches_bounds_only", + "range_is_empty", + "ranges_are_prerelease_only", + "resolve_prereleases", + "standard_ranges", + "wildcard_ranges", +] + +#: The smallest possible PEP 440 version. No valid version is less than this. +MIN_VERSION: Final[Version] = Version("0.dev0") + +#: The smallest non-pre-release version, i.e. the nearest non-pre-release at or +#: above the ``-inf`` floor. +MIN_RELEASE: Final[Version] = Version("0") + +#: Sorts above any real post number and any local label, so a boundary can be +#: ordered above the version family it covers when two boundaries are compared. +_BOUNDARY_INF: Final[float] = float("inf") + + +class BoundaryKind(enum.Enum): + """Where a boundary marker sits in the version ordering.""" + + AFTER_LOCALS = enum.auto() # after V+local, before V.post0 + AFTER_POSTS = enum.auto() # after V.postN, before next release + + +@functools.total_ordering +class BoundaryVersion: + """A point on the version line between two real PEP 440 versions. + + Relative to a base version V:: + + V < V+local < AFTER_LOCALS(V) < V.post0 < AFTER_POSTS(V) + + AFTER_LOCALS is the upper bound of ``<=V``, ``==V``, ``!=V`` (no + local), and the lower bound of the upper-side range of ``!=V``. + AFTER_POSTS is the lower bound of ``>V`` (V final or pre-release), + excluding V's post-releases per PEP 440. + """ + + __slots__ = ( + "_cached_dev", + "_cached_epoch", + "_cached_post", + "_cached_pre", + "_cached_trimmed_release", + "kind", + "version", + ) + + def __init__(self, version: Version, kind: BoundaryKind) -> None: + self.version = version + self.kind = kind + self._cached_trimmed_release = trim_release(version.release) + self._cached_epoch = version.epoch + self._cached_pre = version.pre + self._cached_post = version.post + self._cached_dev = version.dev + + def _is_family(self, other: Version) -> bool: + """Is ``other`` a version that this boundary sorts above?""" + if other.epoch != self._cached_epoch: + return False + # Inline release-trim comparison: other.release matches the + # trimmed release iff its leading slice is equal and any extra + # components are zero. Avoids trim_release's tuple allocation. + other_release = other.release + trimmed_release = self._cached_trimmed_release + trimmed_length = len(trimmed_release) + if len(other_release) < trimmed_length: + return False + if other_release[:trimmed_length] != trimmed_release: + return False + for i in range(trimmed_length, len(other_release)): + if other_release[i] != 0: + return False + if other.pre != self._cached_pre: + return False + if self.kind == BoundaryKind.AFTER_LOCALS: + # Local family: same public version, any local label. + return other.post == self._cached_post and other.dev == self._cached_dev + # Post family: V itself + any post-release of V. + return other.dev == self._cached_dev or other.post is not None + + def _order_key(self) -> _BoundaryOrderKey: + """Sort key placing this boundary just above the versions it covers. + + It extends ``V``'s comparison key ``(epoch, release, suffix)`` with + a trailing ``_BOUNDARY_INF`` local component, so the key sorts after + ``V`` and every ``V+local`` (whose keys carry a real, finite local + segment). ``suffix`` is the 6-int comparison suffix + ``(pre_rank, pre_n, post_rank, post_n, dev_rank, dev_n)``. + + For an AFTER_POSTS boundary the suffix is replaced with one whose + post number is ``_BOUNDARY_INF``, so the key also sorts after every + ``V.postN``. An AFTER_LOCALS boundary uses ``V``'s suffix unchanged. + """ + version_key = self.version._key + suffix: _BoundaryOrderSuffix = version_key[2] + + if self.kind == BoundaryKind.AFTER_POSTS: + suffix = (suffix[0], suffix[1], 1, _BOUNDARY_INF, 1, 0) + + return version_key[0], version_key[1], suffix, _BOUNDARY_INF + + def __eq__(self, other: object) -> bool: + # Key off the order key so equality matches the ``<`` / ``>`` order: + # ``AFTER_POSTS(1.0)`` and ``AFTER_POSTS(1.0.post1)`` are the same point. + if isinstance(other, BoundaryVersion): + return self._order_key() == other._order_key() + return NotImplemented + + def __lt__(self, other: BoundaryVersion | Version) -> bool: + if isinstance(other, BoundaryVersion): + return self._order_key() < other._order_key() + # boundary < other_version iff V < other AND other not in family. + # The cheap V >= other path short-circuits before the family check. + if not (self.version < other): + return False + return not self._is_family(other) + + def __gt__(self, other: BoundaryVersion | Version) -> bool: + # Defined directly to bypass functools.total_ordering's + # NotImplemented round-trip on reflected ``Version < boundary``. + if isinstance(other, BoundaryVersion): + return self._order_key() > other._order_key() + if self.version >= other: + return True + return self._is_family(other) + + def __hash__(self) -> int: + # Keyed to ``__eq__`` (the order key), so equal boundaries hash equal. + return hash(self._order_key()) + + def __repr__(self) -> str: + return f"{self.__class__.__name__}({self.version!r}, {self.kind.name})" + + +if TYPE_CHECKING: + _VersionOrBoundary = Union[Version, BoundaryVersion, None] + + +@functools.total_ordering +class LowerBound: + """Lower bound of a version range. + + A version *v* of ``None`` means unbounded below (-inf). + At equal versions, ``[v`` sorts before ``(v`` because an inclusive + bound starts earlier. + """ + + __slots__ = ("_above", "inclusive", "version") + + def __init__(self, version: _VersionOrBoundary, inclusive: bool) -> None: + self.version = version + self.inclusive = inclusive + # Pre-bind a predicate "is parsed at or above this lower + # bound?" for the hot filter / contains loops. One direct + # call per check, no operator-dispatch chain. + if version is None: + self._above: Callable[[Version], bool] | None = None + elif isinstance(version, BoundaryVersion): + # >V produces an AFTER_POSTS lower bound; the upper-side + # range of !=V produces an AFTER_LOCALS lower bound. + if version.kind == BoundaryKind.AFTER_POSTS: + self._above = _make_above_after_posts(version.version) + else: + self._above = _make_above_after_locals(version.version) + elif inclusive: + self._above = version.__le__ + else: + self._above = version.__lt__ + + def __eq__(self, other: object) -> bool: + if not isinstance(other, LowerBound): + return NotImplemented + return self.version == other.version and self.inclusive == other.inclusive + + def __lt__(self, other: LowerBound) -> bool: + if not isinstance(other, LowerBound): + return NotImplemented + # -inf < anything (except -inf itself). + if self.version is None: + return other.version is not None + if other.version is None: + return False + if self.version != other.version: + return self.version < other.version + # [v < (v: inclusive starts earlier. + return self.inclusive and not other.inclusive + + def __hash__(self) -> int: + return hash((self.version, self.inclusive)) + + def __repr__(self) -> str: + bracket = "[" if self.inclusive else "(" + return f"<{self.__class__.__name__} {bracket}{self.version!r}>" + + +@functools.total_ordering +class UpperBound: + """Upper bound of a version range. + + A version *v* of ``None`` means unbounded above (+inf). + At equal versions, ``v)`` sorts before ``v]`` because an exclusive + bound ends earlier. + """ + + __slots__ = ("_below", "inclusive", "version") + + def __init__(self, version: _VersionOrBoundary, inclusive: bool) -> None: + self.version = version + self.inclusive = inclusive + # Pre-bind a predicate "is parsed at or below this upper + # bound?". See LowerBound for the rationale. + if version is None: + self._below: Callable[[Version], bool] | None = None + elif isinstance(version, BoundaryVersion): + # Standard specifiers only ever produce AFTER_LOCALS upper + # bounds (from <=V / ==V / !=V with no local). + if version.kind == BoundaryKind.AFTER_LOCALS: + self._below = _make_below_after_locals(version.version) + else: + # An AFTER_POSTS upper is not produced by any specifier, but + # range algebra reaches it: complementing ``>V`` flips the + # ``AFTER_POSTS(V)`` lower into this upper bound. + self._below = version.__ge__ + elif inclusive: + self._below = version.__ge__ + else: + self._below = version.__gt__ + + def __eq__(self, other: object) -> bool: + if not isinstance(other, UpperBound): + return NotImplemented + return self.version == other.version and self.inclusive == other.inclusive + + def __lt__(self, other: UpperBound) -> bool: + if not isinstance(other, UpperBound): + return NotImplemented + # Nothing < +inf (except +inf itself). + if self.version is None: + return False + if other.version is None: + return True + if self.version != other.version: + return self.version < other.version + # v) < v]: exclusive ends earlier. + return not self.inclusive and other.inclusive + + def __hash__(self) -> int: + return hash((self.version, self.inclusive)) + + def __repr__(self) -> str: + bracket = "]" if self.inclusive else ")" + return f"<{self.__class__.__name__} {self.version!r}{bracket}>" + + +if TYPE_CHECKING: + #: A single contiguous interval as a (lower, upper) bound pair. + Interval = tuple[LowerBound, UpperBound] + + +NEG_INF: Final[LowerBound] = LowerBound(None, False) +POS_INF: Final[UpperBound] = UpperBound(None, False) +FULL_RANGE: Final[tuple[Interval]] = ((NEG_INF, POS_INF),) + + +def trim_release(release: tuple[int, ...]) -> tuple[int, ...]: + """Strip trailing zeros from a release tuple for normalized comparison.""" + end = len(release) + while end > 1 and release[end - 1] == 0: + end -= 1 + return release if end == len(release) else release[:end] + + +def _next_prefix_dev0(version: Version) -> Version: + """Smallest version in the next prefix: 1.2 -> 1.3.dev0.""" + release = (*version.release[:-1], version.release[-1] + 1) + return Version.from_parts(epoch=version.epoch, release=release, dev=0) + + +def _base_dev0(version: Version) -> Version: + """The .dev0 of a version's base release: 1.2 -> 1.2.dev0.""" + return Version.from_parts(epoch=version.epoch, release=version.release, dev=0) + + +def coerce_version(version: Version | str) -> Version | None: + if not isinstance(version, Version): + try: + version = Version(version) + except InvalidVersion: + return None + return version + + +def _make_above_after_posts(version: Version) -> Callable[[Version], bool]: + """Predicate ``parsed > AFTER_POSTS(V)`` for a lower bound. + + Per PEP 440, ``>V`` excludes V's post-releases unless V is itself + a post-release. AFTER_POSTS sits above V and every V.postN (with + or without local), and just below the next release. + """ + version_ge = version.__ge__ + version_epoch = version.epoch + version_pre = version.pre + version_release_trimmed = trim_release(version.release) + trimmed_length = len(version_release_trimmed) + + def above(parsed: Version) -> bool: + if version_ge(parsed): + return False + # parsed > V cmpkey-wise: above the boundary iff NOT in V's + # post family. + if parsed.epoch != version_epoch: + return True + parsed_release = parsed.release + if len(parsed_release) < trimmed_length: + return True + if parsed_release[:trimmed_length] != version_release_trimmed: + return True + for i in range(trimmed_length, len(parsed_release)): + if parsed_release[i] != 0: + return True + if parsed.pre != version_pre: + return True + + # Same release and pre as V: parsed is in V's post family (V itself, + # V+local, or V.postN), which the boundary sits above. A V.devN + # (different dev, no post) sorts before V and was already caught by + # ``version_ge`` above, so the answer here is always "not above". + return False + + return above + + +def _make_above_after_locals(version: Version) -> Callable[[Version], bool]: + """Predicate ``parsed > AFTER_LOCALS(V)`` for a lower bound. + + Used by the upper-side range of ``!=V`` (when V has no local + segment). AFTER_LOCALS sits above V and every ``V+local`` but + just below ``V.post0``. + """ + version_ge = version.__ge__ + version_epoch = version.epoch + version_pre = version.pre + version_post = version.post + version_dev = version.dev + version_release_trimmed = trim_release(version.release) + trimmed_length = len(version_release_trimmed) + + def above(parsed: Version) -> bool: + if version_ge(parsed): + return False + # parsed > V cmpkey-wise: above the boundary iff NOT in V's + # local family (same public version, any local segment). + if parsed.epoch != version_epoch: + return True + parsed_release = parsed.release + if len(parsed_release) < trimmed_length: + return True + if parsed_release[:trimmed_length] != version_release_trimmed: + return True + for i in range(trimmed_length, len(parsed_release)): + if parsed_release[i] != 0: + return True + if parsed.pre != version_pre: + return True + if parsed.post != version_post: + return True + return parsed.dev != version_dev + + return above + + +def _make_below_after_locals(version: Version) -> Callable[[Version], bool]: + """Predicate ``parsed <= AFTER_LOCALS(V)`` for an upper bound. + + Used by ``<=V``, ``==V``, ``!=V`` (no local). ``parsed`` is at or + below the boundary when it is at or below V cmpkey-wise, or when + it is in V's local family. + """ + version_ge = version.__ge__ + version_epoch = version.epoch + version_pre = version.pre + version_post = version.post + version_dev = version.dev + version_release_trimmed = trim_release(version.release) + trimmed_length = len(version_release_trimmed) + + def below(parsed: Version) -> bool: + if version_ge(parsed): + return True + # parsed > V cmpkey-wise: below the boundary iff in V's local + # family. + if parsed.epoch != version_epoch: + return False + parsed_release = parsed.release + if len(parsed_release) < trimmed_length: + return False + if parsed_release[:trimmed_length] != version_release_trimmed: + return False + for i in range(trimmed_length, len(parsed_release)): + if parsed_release[i] != 0: + return False + if parsed.pre != version_pre: + return False + if parsed.post != version_post: + return False + return parsed.dev == version_dev + + return below + + +def least_version_above(boundary: BoundaryVersion) -> Version | None: + """Smallest real version strictly above *boundary*, or ``None`` if none exists.""" + base = boundary.version + + if boundary.kind == BoundaryKind.AFTER_LOCALS: + # AFTER_LOCALS(V) sits just below V.post0, so its least successor is + # V.post0.dev0 (V.dev(N+1) if V has a dev, V.post(N+1).dev0 if a post). + if base.dev is not None: + return base.__replace__(dev=base.dev + 1, local=None) + next_post = (base.post + 1) if base.post is not None else 0 + return base.__replace__(post=next_post, dev=0, local=None) + + # AFTER_POSTS(V): a pre-release V steps to the next pre-release's .dev0; + # a final-release AFTER_POSTS has no least successor. + if base.pre is not None: + kind, number = base.pre + return base.__replace__(pre=(kind, number + 1), post=None, dev=0, local=None) + + return None + + +def range_is_empty(lower: LowerBound, upper: UpperBound) -> bool: + """True when the range defined by *lower* and *upper* contains no versions. + + A boundary lower sits just below the next real version, so an ordered pair + is still empty when the upper excludes that least successor: + ``(AFTER_POSTS(1.0a1), 1.0a2.dev0)`` holds no version. + """ + if upper.version is None: + return False + + if lower.version is None: + # Nothing sorts below MIN_VERSION, so an exclusive upper at or below it + # leaves an empty floor interval such as ``(-inf, 0.dev0)``. + return ( + not upper.inclusive + and isinstance(upper.version, Version) + and upper.version <= MIN_VERSION + ) + + if isinstance(lower.version, BoundaryVersion): + successor = least_version_above(lower.version) + if successor is not None: + if upper.version == successor: + return not upper.inclusive + return upper.version < successor + + if lower.version == upper.version: + return not (lower.inclusive and upper.inclusive) + + return lower.version > upper.version + + +def intersect_ranges( + left: Sequence[Interval], + right: Sequence[Interval], +) -> list[Interval]: + """Intersect two sorted, non-overlapping range lists (two-pointer merge).""" + result: list[Interval] = [] + left_index = right_index = 0 + while left_index < len(left) and right_index < len(right): + left_lower, left_upper = left[left_index] + right_lower, right_upper = right[right_index] + + lower = max(left_lower, right_lower) + upper = min(left_upper, right_upper) + + if not range_is_empty(lower, upper): + result.append((lower, upper)) + + # Advance whichever side has the smaller upper bound. + if left_upper < right_upper: + left_index += 1 + else: + right_index += 1 + + return result + + +def filter_by_ranges( + ranges: Sequence[Interval], + iterable: Iterable[Any], + key: Callable[[Any], Version | str] | None, + prereleases: bool | None, + region: Sequence[Interval] = (), +) -> Iterator[Any]: + """Filter *iterable* against precomputed version *ranges*. + + With ``prereleases=None``, the PEP 440 default applies: pre-releases are + excluded unless no final matches, in which case buffered pre-releases come + out at the end. A pre-release inside the opt-in ``region`` is the exception: + it is force-admitted in place, as ``prereleases=True`` would yield it. A + force-admitted pre-release is not a final, so it never suppresses the buffer. + """ + if prereleases is None: + prerelease_buffer: list[Any] = [] + found_final = False + + if len(ranges) == 1: + # Hot path: most specifiers and small SpecifierSets reduce to + # a single contiguous range. + lower, upper = ranges[0] + above = lower._above + below = upper._below + for item in iterable: + parsed = coerce_version(item if key is None else key(item)) + if parsed is None: + continue + if above is not None and not above(parsed): + continue + if below is not None and not below(parsed): + continue + if not parsed.is_prerelease: + found_final = True + yield item + elif region and matches_bounds_only(region, parsed): + yield item + elif not found_final: + prerelease_buffer.append(item) + if not found_final: + yield from prerelease_buffer + return + + for item in iterable: + parsed = coerce_version(item if key is None else key(item)) + if parsed is None: + continue + for lower, upper in ranges: + above = lower._above + if above is not None and not above(parsed): + break + below = upper._below + if below is None or below(parsed): + if not parsed.is_prerelease: + found_final = True + yield item + elif region and matches_bounds_only(region, parsed): + yield item + elif not found_final: + prerelease_buffer.append(item) + break + if not found_final: + yield from prerelease_buffer + return + + exclude_prereleases = prereleases is False + + if len(ranges) == 1: + # Hot path: most specifiers and small SpecifierSets reduce to + # a single contiguous range. + lower, upper = ranges[0] + above = lower._above + below = upper._below + for item in iterable: + parsed = coerce_version(item if key is None else key(item)) + if parsed is None: + continue + if exclude_prereleases and parsed.is_prerelease: + continue + if above is not None and not above(parsed): + continue + if below is None or below(parsed): + yield item + return + + for item in iterable: + parsed = coerce_version(item if key is None else key(item)) + if parsed is None: + continue + if exclude_prereleases and parsed.is_prerelease: + continue + for lower, upper in ranges: + above = lower._above + if above is not None and not above(parsed): + break + below = upper._below + if below is None or below(parsed): + yield item + break + + +def _nearest_release_above_prerelease(version: Version) -> Version: + """Smallest non-pre-release at or above a pre-release *version*.""" + if version.pre is not None: + # An a/b/rc pre-release drops to its final release, which outranks + # every post-release of that pre-release (1.0a1.post0 -> 1.0). + return version.__replace__(pre=None, post=None, dev=None, local=None) + + # A dev-only release keeps its post-release (1.0.post0.dev0 -> 1.0.post0, + # whose final 1.0 sorts below it). + return version.__replace__(dev=None, local=None) + + +def _lowest_release_at_or_above(value: Version | BoundaryVersion | None) -> Version: + """Smallest non-pre-release version at or above *value*. + + ``None`` is the ``-inf`` floor, whose nearest non-pre-release is + :data:`MIN_RELEASE`. + """ + if value is None: + return MIN_RELEASE + if isinstance(value, BoundaryVersion): + inner_version = value.version + if inner_version.is_prerelease: + return _nearest_release_above_prerelease(inner_version) + # AFTER_LOCALS(1.0) -> nearest non-pre is 1.0.post0 + # AFTER_LOCALS(1.0.post0) -> nearest non-pre is 1.0.post1 + next_post = (inner_version.post + 1) if inner_version.post is not None else 0 + return inner_version.__replace__(post=next_post, local=None) + + if not value.is_prerelease: + return value + + return _nearest_release_above_prerelease(value) + + +def ranges_are_prerelease_only(ranges: Sequence[Interval]) -> bool: + """True when every range in *ranges* contains only pre-releases. + + Used to detect unsatisfiable specifier sets when ``prereleases=False``: + if every range is pre-release-only, every contained version is excluded. + """ + for lower, upper in ranges: + nearest = _lowest_release_at_or_above(lower.version) + if upper.version is None or nearest < upper.version: + return False + if nearest == upper.version and upper.inclusive: + return False + return True + + +def wildcard_ranges(op: str, base: Version) -> list[Interval]: + """Ranges for ==V.* and !=V.*. + + ==1.2.* -> [1.2.dev0, 1.3.dev0); !=1.2.* -> complement. + """ + lower = _base_dev0(base) + upper = _next_prefix_dev0(base) + if op == "==": + return [(LowerBound(lower, True), UpperBound(upper, False))] + # != + return [ + (NEG_INF, UpperBound(lower, False)), + (LowerBound(upper, True), POS_INF), + ] + + +def standard_ranges(op: str, version: Version, has_local: bool) -> list[Interval]: + """Ranges for the standard PEP 440 operators (no wildcard, no ===). + + *has_local* indicates whether the spec string included a ``+local`` + segment; relevant only for ``==`` / ``!=`` to decide whether the + upper bound includes V's local family. + """ + if op == ">=": + return [(LowerBound(version, True), POS_INF)] + + if op == "<=": + return [ + ( + NEG_INF, + UpperBound(BoundaryVersion(version, BoundaryKind.AFTER_LOCALS), True), + ) + ] + + if op == ">": + if version.dev is not None: + # >V.devN: dev versions have no post-releases, so the + # next real version is V.dev(N+1). + lower_bound = version.__replace__(dev=version.dev + 1, local=None) + return [(LowerBound(lower_bound, True), POS_INF)] + if version.post is not None: + # >V.postN: next real version is V.post(N+1).dev0. + lower_bound = version.__replace__(post=version.post + 1, dev=0, local=None) + return [(LowerBound(lower_bound, True), POS_INF)] + # >V (final or pre-release V): exclude V itself, V+local, and + # every V.postN per PEP 440. + return [ + ( + LowerBound(BoundaryVersion(version, BoundaryKind.AFTER_POSTS), False), + POS_INF, + ) + ] + + if op == "<": + # list[Interval]: + """Ranges for one specifier's ``(op, version_str)``. + + Dispatches between the wildcard and standard builders. ``version`` is the + parsed ``version_str`` (its base, without the trailing ``.*``, for + wildcards). ``===`` is not handled here; its match is a literal string + compared in :mod:`packaging.specifiers`. + """ + if version_str.endswith(".*"): + return wildcard_ranges(op, version) + + return standard_ranges(op, version, "+" in version_str) + + +def intersect_specifier_bounds( + per_specifier_ranges: Iterable[Sequence[Interval]], +) -> Sequence[Interval]: + """Intersect each specifier's ranges into a single sequence. + + Short-circuits once the running intersection is empty, since no later + specifier can revive it. Callers must pass at least one specifier. + """ + result: Sequence[Interval] | None = None + for sub in per_specifier_ranges: + if result is None: + result = sub + else: + result = intersect_ranges(result, sub) + if not result: + break + + if result is None: # pragma: no cover - callers guard non-empty input + raise RuntimeError("intersect_specifier_bounds called with no specifiers") + + return result + + +def matches_bounds_only(ranges: Sequence[Interval], version: Version) -> bool: + """Whether ``version`` falls within any of ``ranges``. + + The pure bounds membership test, for a single already-parsed version with + no pre-release policy applied. ``ranges`` are sorted and non-overlapping, + so a version below one range's lower bound is below every later range too. + """ + for lower, upper in ranges: + above = lower._above + if above is not None and not above(version): + return False + + below = upper._below + if below is None or below(version): + return True + + return False + + +def resolve_prereleases( + configured: bool | None, autodetected: bool | None +) -> bool | None: + """Resolve a specifier's effective default pre-release policy. + + An explicit ``configured`` value wins; otherwise an autodetected ``True`` + propagates and anything else falls back to the PEP 440 default (``None``). + """ + if configured is not None: + return configured + + if autodetected: + return True + + return None diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_structures.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_structures.py new file mode 100644 index 0000000000000000000000000000000000000000..4306784d9a26466aa0a210cb2f262903c67d46ca --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_structures.py @@ -0,0 +1,33 @@ +# This file is dual licensed under the terms of the Apache License, Version +# 2.0, and the BSD License. See the LICENSE file in the root of this repository +# for complete details. + +"""Backward-compatibility shim for unpickling Version objects serialized before +packaging 26.1. + +Old pickles reference ``packaging._structures.InfinityType`` and +``packaging._structures.NegativeInfinityType``. This module provides minimal +stand-in classes so that ``pickle.loads()`` can resolve those references. +The deserialized objects are not used for comparisons — ``Version.__setstate__`` +discards the stale ``_key`` cache and recomputes it from the core version fields. +""" + +from __future__ import annotations + + +class InfinityType: + """Stand-in for the removed ``InfinityType`` used in old comparison keys.""" + + def __repr__(self) -> str: + return "Infinity" + + +class NegativeInfinityType: + """Stand-in for the removed ``NegativeInfinityType`` used in old comparison keys.""" + + def __repr__(self) -> str: + return "-Infinity" + + +Infinity = InfinityType() +NegativeInfinity = NegativeInfinityType() diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_tokenizer.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_tokenizer.py new file mode 100644 index 0000000000000000000000000000000000000000..db7cd17fbad29ed096f7fc9a0afc493cc9725b92 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/_tokenizer.py @@ -0,0 +1,200 @@ +from __future__ import annotations + +import contextlib +import re +from dataclasses import dataclass +from typing import TYPE_CHECKING, NoReturn + +from .specifiers import Specifier + +if TYPE_CHECKING: + from collections.abc import Generator, Mapping + + +@dataclass +class Token: + __slots__ = ("name", "position", "text") + + name: str + text: str + position: int + + +class ParserSyntaxError(Exception): + """The provided source text could not be parsed correctly.""" + + def __init__( + self, + message: str, + *, + source: str, + span: tuple[int, int], + ) -> None: + self.span = span + self.message = message + self.source = source + + super().__init__() + + def __str__(self) -> str: + marker = " " * self.span[0] + "~" * (self.span[1] - self.span[0]) + "^" + return f"{self.message}\n {self.source}\n {marker}" + + +DEFAULT_RULES: dict[str, re.Pattern[str]] = { + "LEFT_PARENTHESIS": re.compile(r"\("), + "RIGHT_PARENTHESIS": re.compile(r"\)"), + "LEFT_BRACKET": re.compile(r"\["), + "RIGHT_BRACKET": re.compile(r"\]"), + "SEMICOLON": re.compile(r";"), + "COMMA": re.compile(r","), + "QUOTED_STRING": re.compile( + r""" + ( + ('[^']*') + | + ("[^"]*") + ) + """, + re.VERBOSE, + ), + "OP": re.compile(r"(===|==|~=|!=|<=|>=|<|>)"), + "BOOLOP": re.compile(r"\b(or|and)\b"), + "IN": re.compile(r"\bin\b"), + "NOT": re.compile(r"\bnot\b"), + "VARIABLE": re.compile( + r""" + \b( + python_version + |python_full_version + |os[._]name + |sys[._]platform + |platform_(release|system) + |platform[._](version|machine|python_implementation) + |python_implementation + |implementation_(name|version) + |extras? + |dependency_groups + )\b + """, + re.VERBOSE, + ), + "SPECIFIER": re.compile( + Specifier._specifier_regex_str, + re.VERBOSE | re.IGNORECASE, + ), + "AT": re.compile(r"\@"), + "URL": re.compile(r"[^ \t]+"), + "IDENTIFIER": re.compile(r"\b[a-zA-Z0-9][a-zA-Z0-9._-]*\b"), + "VERSION_PREFIX_TRAIL": re.compile(r"\.\*"), + "VERSION_LOCAL_LABEL_TRAIL": re.compile(r"\+[a-z0-9]+(?:[-_\.][a-z0-9]+)*"), + "WS": re.compile(r"[ \t]+"), + "END": re.compile(r"\Z"), +} + + +class Tokenizer: + """Context-sensitive token parsing. + + Provides methods to examine the input stream to check whether the next token + matches. + """ + + __slots__ = ("next_token", "position", "rules", "source") + + def __init__( + self, + source: str, + *, + rules: Mapping[str, re.Pattern[str]], + ) -> None: + self.source = source + self.rules = rules + self.next_token: Token | None = None + self.position = 0 + + def consume(self, name: str) -> None: + """Move beyond provided token name, if at current position.""" + if self.check(name): + self.read() + + def check(self, name: str, *, peek: bool = False) -> bool: + """Check whether the next token has the provided name. + + By default, if the check succeeds, the token *must* be read before + another check. If `peek` is set to `True`, the token is not loaded and + would need to be checked again. + """ + assert self.next_token is None, ( + f"Cannot check for {name!r}, already have {self.next_token!r}" + ) + assert name in self.rules, f"Unknown token name: {name!r}" + + expression = self.rules[name] + + match = expression.match(self.source, self.position) + if match is None: + return False + if not peek: + self.next_token = Token(name, match[0], self.position) + return True + + def expect(self, name: str, *, expected: str) -> Token: + """Expect a certain token name next, failing with a syntax error otherwise. + + The token is read and returned. + """ + if not self.check(name): + raise self.raise_syntax_error(f"Expected {expected}") + return self.read() + + def read(self) -> Token: + """Consume the next token and return it.""" + token = self.next_token + assert token is not None + + self.position += len(token.text) + self.next_token = None + + return token + + def raise_syntax_error( + self, + message: str, + *, + span_start: int | None = None, + span_end: int | None = None, + ) -> NoReturn: + """Raise ParserSyntaxError at the given position.""" + span = ( + self.position if span_start is None else span_start, + self.position if span_end is None else span_end, + ) + raise ParserSyntaxError( + message, + source=self.source, + span=span, + ) + + @contextlib.contextmanager + def enclosing_tokens( + self, open_token: str, close_token: str, *, around: str + ) -> Generator[None, None, None]: + if self.check(open_token): + open_position = self.position + self.read() + else: + open_position = None + + yield + + if open_position is None: + return + + if not self.check(close_token): + self.raise_syntax_error( + f"Expected matching {close_token} for {open_token}, after {around}", + span_start=open_position, + ) + + self.read() diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/dependency_groups.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/dependency_groups.py new file mode 100644 index 0000000000000000000000000000000000000000..0ad2d013cc25245c7e8f24f537112bc0332e41b5 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/dependency_groups.py @@ -0,0 +1,335 @@ +from __future__ import annotations + +import re +from collections.abc import Mapping, Sequence + +from .errors import _ErrorCollector +from .requirements import InvalidRequirement, Requirement + +__all__ = [ + "CyclicDependencyGroup", + "DependencyGroupInclude", + "DependencyGroupResolver", + "DuplicateGroupNames", + "InvalidDependencyGroupObject", + "resolve_dependency_groups", +] + + +def __dir__() -> list[str]: + return __all__ + + +# ----------- +# Error Types +# ----------- + + +class DuplicateGroupNames(ValueError): + """ + The same dependency groups were defined twice, with different non-normalized names. + + .. versionadded:: 26.1 + """ + + +class CyclicDependencyGroup(ValueError): + """ + The dependency group includes form a cycle. + + .. versionadded:: 26.1 + """ + + def __init__(self, requested_group: str, group: str, include_group: str) -> None: + self.requested_group = requested_group + self.group = group + self.include_group = include_group + + if include_group == group: + reason = f"{group} includes itself" + else: + reason = f"{include_group} -> {group}, {group} -> {include_group}" + super().__init__( + "Cyclic dependency group include while resolving " + f"{requested_group}: {reason}" + ) + + # Support pickling; ``args`` does not match ``__init__``'s signature. + def __reduce__(self) -> tuple[type[CyclicDependencyGroup], tuple[str, str, str]]: + return (self.__class__, (self.requested_group, self.group, self.include_group)) + + +# in the PEP 735 spec, the tables in dependency group lists were described as +# "Dependency Object Specifiers", but the only defined type of object was a +# "Dependency Group Include" -- hence the naming of this error as "Object" +class InvalidDependencyGroupObject(ValueError): + """ + A member of a dependency group was identified as a dict, but was not in a valid + format. + + .. versionadded:: 26.1 + """ + + +# ------------------------ +# Object Model & Interface +# ------------------------ + + +class DependencyGroupInclude: + """ + A reference to another dependency group by name. + + .. versionadded:: 26.1 + """ + + __slots__ = ("include_group",) + + def __init__(self, include_group: str) -> None: + """ + Initialize a DependencyGroupInclude. + + :param include_group: The name of the group referred to by this include. + """ + self.include_group = include_group + + def __repr__(self) -> str: + return f"{self.__class__.__name__}({self.include_group!r})" + + +class DependencyGroupResolver: + """ + A resolver for Dependency Group data. + + This class handles caching, name normalization, cycle detection, and other + parsing requirements. There are only two public methods for exploring the data: + ``lookup()`` and ``resolve()``. + + :param dependency_groups: A mapping, as provided via pyproject + ``[dependency-groups]``. + + .. versionadded:: 26.1 + """ + + def __init__( + self, + dependency_groups: Mapping[str, Sequence[str | Mapping[str, str]]], + ) -> None: + errors = _ErrorCollector() + + self.dependency_groups = _normalize_group_names(dependency_groups, errors) + + # a map of group names to parsed data + self._parsed_groups: dict[ + str, tuple[Requirement | DependencyGroupInclude, ...] + ] = {} + # a map of group names to their ancestors, used for cycle detection + self._include_graph_ancestors: dict[str, tuple[str, ...]] = {} + # a cache of completed resolutions to Requirement lists + self._resolve_cache: dict[str, tuple[Requirement, ...]] = {} + + errors.finalize("[dependency-groups] data was invalid") + + def lookup(self, group: str) -> tuple[Requirement | DependencyGroupInclude, ...]: + """ + Lookup a group name, returning the parsed dependency data for that group. + This will not resolve includes. + + :param group: the name of the group to lookup + """ + group = _normalize_name(group) + + with _ErrorCollector().on_exit( + f"[dependency-groups] data for {group!r} was malformed" + ) as errors: + return self._parse_group(group, errors) + + def resolve(self, group: str) -> tuple[Requirement, ...]: + """ + Resolve a dependency group to a list of requirements. + + :param group: the name of the group to resolve + """ + group = _normalize_name(group) + + with _ErrorCollector().on_exit( + f"[dependency-groups] data for {group!r} was malformed" + ) as errors: + return self._resolve(group, group, errors) + + def _resolve( + self, group: str, requested_group: str, errors: _ErrorCollector + ) -> tuple[Requirement, ...]: + """ + This is a helper for cached resolution to strings. It preserves the name of the + group which the user initially requested in order to present a clearer error in + the event that a cycle is detected. + + :param group: The normalized name of the group to resolve. + :param requested_group: The group which was used in the original, user-facing + request. + """ + if group in self._resolve_cache: + return self._resolve_cache[group] + + parsed = self._parse_group(group, errors) + + resolved_group = [] + + for item in parsed: + if isinstance(item, Requirement): + resolved_group.append(item) + elif isinstance(item, DependencyGroupInclude): + include_group = _normalize_name(item.include_group) + + # if a group is cyclic, record the error + # otherwise, follow the include_group reference + # + # this allows us to examine all includes in a group, even in the + # presence of errors + if include_group in self._include_graph_ancestors.get(group, ()): + errors.error( + CyclicDependencyGroup( + requested_group, group, item.include_group + ) + ) + else: + self._include_graph_ancestors[include_group] = ( + *self._include_graph_ancestors.get(group, ()), + group, + ) + resolved_group.extend( + self._resolve(include_group, requested_group, errors) + ) + else: # pragma: no cover + raise NotImplementedError( + f"Invalid dependency group item after parse: {item}" + ) + + # in the event that errors were detected, present the group as empty and do not + # cache the result + # this ensures that repeated access to a cyclic group will raise multiple errors + if errors.errors: + return () + + self._resolve_cache[group] = tuple(resolved_group) + return self._resolve_cache[group] + + def _parse_group( + self, group: str, errors: _ErrorCollector + ) -> tuple[Requirement | DependencyGroupInclude, ...]: + # short circuit -- never do the work twice + if group in self._parsed_groups: + return self._parsed_groups[group] + + if group not in self.dependency_groups: + errors.error(LookupError(f"Dependency group '{group}' not found")) + return () + + raw_group = self.dependency_groups[group] + if isinstance(raw_group, str): + errors.error( + TypeError( + f"Dependency group {group!r} contained a string rather than a list." + ) + ) + return () + + if not isinstance(raw_group, Sequence): + errors.error( + TypeError(f"Dependency group {group!r} is not a sequence type.") + ) + return () + + elements: list[Requirement | DependencyGroupInclude] = [] + for item in raw_group: + if isinstance(item, str): + # packaging.requirements.Requirement parsing ensures that this is a + # valid PEP 508 Dependency Specifier. Collect InvalidRequirement + # if it throws that. + with errors.collect(InvalidRequirement): + elements.append(Requirement(item)) + elif isinstance(item, Mapping): + if tuple(item.keys()) != ("include-group",): + errors.error( + InvalidDependencyGroupObject( + f"Invalid dependency group item: {item!r}" + ) + ) + else: + include_group = item["include-group"] + if not isinstance(include_group, str): + msg = ( + "Dependency group include-group value is not a string: " + f"{item!r}" + ) + errors.error(TypeError(msg)) + else: + elements.append( + DependencyGroupInclude(include_group=include_group) + ) + else: + errors.error(TypeError(f"Invalid dependency group item: {item!r}")) + + if errors.errors: + return () + + self._parsed_groups[group] = tuple(elements) + return self._parsed_groups[group] + + +# -------------------- +# Functional Interface +# -------------------- + + +def resolve_dependency_groups( + dependency_groups: Mapping[str, Sequence[str | Mapping[str, str]]], /, *groups: str +) -> tuple[str, ...]: + """ + Resolve a dependency group to a tuple of requirements, as strings. + + :param dependency_groups: the parsed contents of the ``[dependency-groups]`` table + from ``pyproject.toml`` + :param groups: the name of the group(s) to resolve + + .. versionadded:: 26.1 + """ + resolver = DependencyGroupResolver(dependency_groups) + return tuple(str(r) for group in groups for r in resolver.resolve(group)) + + +# ---------------- +# internal helpers +# ---------------- + + +_NORMALIZE_PATTERN = re.compile(r"[-_.]+") + + +def _normalize_name(name: str) -> str: + return _NORMALIZE_PATTERN.sub("-", name).lower() + + +def _normalize_group_names( + dependency_groups: Mapping[str, Sequence[str | Mapping[str, str]]], + errors: _ErrorCollector, +) -> dict[str, Sequence[str | Mapping[str, str]]]: + original_names: dict[str, list[str]] = {} + normalized_groups: dict[str, Sequence[str | Mapping[str, str]]] = {} + + for group_name, value in dependency_groups.items(): + normed_group_name = _normalize_name(group_name) + original_names.setdefault(normed_group_name, []).append(group_name) + normalized_groups[normed_group_name] = value + + for normed_name, names in original_names.items(): + if len(names) > 1: + errors.error( + DuplicateGroupNames( + "Duplicate dependency group names: " + f"{normed_name} ({', '.join(names)})" + ) + ) + + return normalized_groups diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/direct_url.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/direct_url.py new file mode 100644 index 0000000000000000000000000000000000000000..4de7acc0a9e5c22301623438f6290fd03f8040b4 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/direct_url.py @@ -0,0 +1,349 @@ +from __future__ import annotations + +import dataclasses +import re +import urllib.parse +from collections.abc import Mapping +from typing import TYPE_CHECKING, Any, Protocol, TypeVar + +if TYPE_CHECKING: # pragma: no cover + import sys + from collections.abc import Collection + from urllib.parse import SplitResult + + if sys.version_info >= (3, 11): + from typing import Self + else: + from typing_extensions import Self + +__all__ = [ + "ArchiveInfo", + "DirInfo", + "DirectUrl", + "DirectUrlValidationError", + "VcsInfo", +] + + +def __dir__() -> list[str]: + return __all__ + + +_T = TypeVar("_T") + + +class _FromMappingProtocol(Protocol): # pragma: no cover + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: ... + + +_FromMappingProtocolT = TypeVar("_FromMappingProtocolT", bound=_FromMappingProtocol) + + +def _json_dict_factory(data: list[tuple[str, Any]]) -> dict[str, Any]: + return {key: value for key, value in data if value is not None} + + +def _get(d: Mapping[str, Any], expected_type: type[_T], key: str) -> _T | None: + """Get a value from the dictionary and verify it's the expected type.""" + if (value := d.get(key)) is None: + return None + if not isinstance(value, expected_type): + raise DirectUrlValidationError( + f"Unexpected type {type(value).__name__} " + f"(expected {expected_type.__name__})", + context=key, + ) + return value + + +def _get_required(d: Mapping[str, Any], expected_type: type[_T], key: str) -> _T: + """Get a required value from the dictionary and verify it's the expected type.""" + if (value := _get(d, expected_type, key)) is None: + raise _DirectUrlRequiredKeyError(key) + return value + + +def _get_object( + d: Mapping[str, Any], target_type: type[_FromMappingProtocolT], key: str +) -> _FromMappingProtocolT | None: + """Get a dictionary value from the dictionary and convert it to a dataclass.""" + if (value := _get(d, Mapping, key)) is None: # type: ignore[type-abstract] + return None + try: + return target_type._from_dict(value) + except Exception as e: + raise DirectUrlValidationError(e, context=key) from e + + +_PEP610_USER_PASS_ENV_VARS_REGEX = re.compile( + r"^\$\{[A-Za-z0-9-_]+\}(:\$\{[A-Za-z0-9-_]+\})?$" +) + + +def _strip_auth_from_netloc(netloc: str, safe_user_passwords: Collection[str]) -> str: + if "@" not in netloc: + return netloc + user_pass, netloc_no_user_pass = netloc.rsplit("@", 1) + if user_pass in safe_user_passwords: + return netloc + if _PEP610_USER_PASS_ENV_VARS_REGEX.match(user_pass): + return netloc + return netloc_no_user_pass + + +def _strip_url(url: str, safe_user_passwords: Collection[str]) -> str: + """url with user:password part removed unless it is formed with + environment variables as specified in PEP 610, or it is a safe user:password + such as `git`. + """ + parsed_url = urllib.parse.urlsplit(url) + netloc = _strip_auth_from_netloc(parsed_url.netloc, safe_user_passwords) + return urllib.parse.urlunsplit( + ( + parsed_url.scheme, + netloc, + parsed_url.path, + parsed_url.query, + parsed_url.fragment, + ) + ) + + +def _file_url_has_absolute_path(parsed_url: SplitResult) -> bool: + return parsed_url.path.startswith("/") + + +class DirectUrlValidationError(Exception): + """Raised when when input data is not spec-compliant. + + .. versionadded:: 26.1 + """ + + context: str | None = None + message: str + + def __init__( + self, + cause: str | Exception, + *, + context: str | None = None, + ) -> None: + if isinstance(cause, DirectUrlValidationError): + if cause.context: + self.context = ( + f"{context}.{cause.context}" if context else cause.context + ) + else: + self.context = context # pragma: no cover + self.message = cause.message + else: + self.context = context + self.message = str(cause) + + def __str__(self) -> str: + if self.context: + return f"{self.message} in {self.context!r}" + return self.message + + +class _DirectUrlRequiredKeyError(DirectUrlValidationError): + def __init__(self, key: str) -> None: + super().__init__("Missing required value", context=key) + + +@dataclasses.dataclass(frozen=True, init=False) +class VcsInfo: + """The version control information of a :class:`DirectUrl`.""" + + vcs: str + commit_id: str + requested_revision: str | None = None + + def __init__( + self, + *, + vcs: str, + commit_id: str, + requested_revision: str | None = None, + ) -> None: + object.__setattr__(self, "vcs", vcs) + object.__setattr__(self, "commit_id", commit_id) + object.__setattr__(self, "requested_revision", requested_revision) + + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: + # We can't validate vcs value because is not closed. + return cls( + vcs=_get_required(d, str, "vcs"), + requested_revision=_get(d, str, "requested_revision"), + commit_id=_get_required(d, str, "commit_id"), + ) + + +@dataclasses.dataclass(frozen=True, init=False) +class ArchiveInfo: + """The archive information of a :class:`DirectUrl`.""" + + hashes: Mapping[str, str] | None = None + + def __init__( + self, + *, + hashes: Mapping[str, str] | None = None, + ) -> None: + object.__setattr__(self, "hashes", hashes) + + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: + hashes = _get(d, Mapping, "hashes") # type: ignore[type-abstract] + if hashes is not None and not all(isinstance(h, str) for h in hashes.values()): + raise DirectUrlValidationError( + "Hash values must be strings", context="hashes" + ) + legacy_hash = _get(d, str, "hash") + if legacy_hash is not None: + if "=" not in legacy_hash: + raise DirectUrlValidationError( + "Invalid hash format (expected '=')", + context="hash", + ) + hash_algorithm, hash_value = legacy_hash.split("=", 1) + if hashes is None: + # if `hashes` are not present, we can derive it from the legacy `hash` + hashes = {hash_algorithm: hash_value} + else: + # if `hashes` are present, the legacy `hash` must match one of them + if hash_algorithm not in hashes: + raise DirectUrlValidationError( + f"Algorithm {hash_algorithm!r} used in hash field " + f"is not present in hashes field", + context="hashes", + ) + if hashes[hash_algorithm] != hash_value: + raise DirectUrlValidationError( + f"Algorithm {hash_algorithm!r} used in hash field " + f"has different value in hashes field", + context="hash", + ) + return cls(hashes=hashes) + + +@dataclasses.dataclass(frozen=True, init=False) +class DirInfo: + """The local directory information of a :class:`DirectUrl`.""" + + editable: bool | None = None + + def __init__( + self, + *, + editable: bool | None = None, + ) -> None: + object.__setattr__(self, "editable", editable) + + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: + return cls( + editable=_get(d, bool, "editable"), + ) + + +@dataclasses.dataclass(frozen=True, init=False) +class DirectUrl: + """A class representing a direct URL. + + .. versionadded:: 26.1 + """ + + url: str + archive_info: ArchiveInfo | None = None + vcs_info: VcsInfo | None = None + dir_info: DirInfo | None = None + subdirectory: str | None = None # XXX Path or str? + + def __init__( + self, + *, + url: str, + archive_info: ArchiveInfo | None = None, + vcs_info: VcsInfo | None = None, + dir_info: DirInfo | None = None, + subdirectory: str | None = None, + ) -> None: + object.__setattr__(self, "url", url) + object.__setattr__(self, "archive_info", archive_info) + object.__setattr__(self, "vcs_info", vcs_info) + object.__setattr__(self, "dir_info", dir_info) + object.__setattr__(self, "subdirectory", subdirectory) + + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: + direct_url = cls( + url=_get_required(d, str, "url"), + archive_info=_get_object(d, ArchiveInfo, "archive_info"), + vcs_info=_get_object(d, VcsInfo, "vcs_info"), + dir_info=_get_object(d, DirInfo, "dir_info"), + subdirectory=_get(d, str, "subdirectory"), + ) + if ( + bool(direct_url.vcs_info) + + bool(direct_url.archive_info) + + bool(direct_url.dir_info) + ) != 1: + raise DirectUrlValidationError( + "Exactly one of vcs_info, archive_info, dir_info must be present" + ) + if direct_url.dir_info is not None: + parsed_url = urllib.parse.urlsplit(direct_url.url) + if parsed_url.scheme != "file": + raise DirectUrlValidationError( + "URL scheme must be file:// when dir_info is present", + context="url", + ) + if not _file_url_has_absolute_path(parsed_url): + raise DirectUrlValidationError( + "File URL must be absolute when dir_info is present", + context="url", + ) + # XXX subdirectory must be relative, can we, should we validate that here? + return direct_url + + @classmethod + def from_dict(cls, d: Mapping[str, Any], /) -> Self: + """Create and validate a DirectUrl instance from a JSON dictionary.""" + return cls._from_dict(d) + + def to_dict( + self, + *, + generate_legacy_hash: bool = False, + strip_user_password: bool = True, + safe_user_passwords: Collection[str] = ("git",), + ) -> Mapping[str, Any]: + """Convert the DirectUrl instance to a JSON dictionary. + + :param generate_legacy_hash: If True, include a legacy `hash` field in + `archive_info` for backward compatibility with tools that don't + support the `hashes` field. + :param strip_user_password: If True, strip user:password from the URL + unless it is formed with environment variables as specified in PEP + 610, or it is a safe user:password such as `git`. + :param safe_user_passwords: A collection of user:password strings that + should not be stripped from the URL even if `strip_user_password` is + True. + """ + res = dataclasses.asdict(self, dict_factory=_json_dict_factory) + if generate_legacy_hash and self.archive_info and self.archive_info.hashes: + hash_algorithm, hash_value = next(iter(self.archive_info.hashes.items())) + res["archive_info"]["hash"] = f"{hash_algorithm}={hash_value}" + if strip_user_password: + res["url"] = _strip_url(self.url, safe_user_passwords) + return res + + def validate(self) -> None: + """Validate the DirectUrl instance against the specification. + + Raises :class:`DirectUrlValidationError` if invalid. + """ + self.from_dict(self.to_dict()) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/errors.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/errors.py new file mode 100644 index 0000000000000000000000000000000000000000..d1d47cf6c3416179750bf5bf170aafe9d0fa6497 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/errors.py @@ -0,0 +1,94 @@ +from __future__ import annotations + +import contextlib +import dataclasses +import sys +import typing + +__all__ = ["ExceptionGroup"] + + +def __dir__() -> list[str]: + return __all__ + + +if sys.version_info >= (3, 11): # pragma: no cover + from builtins import ExceptionGroup +else: # pragma: no cover + + class ExceptionGroup(Exception): + """A minimal implementation of :external:exc:`ExceptionGroup` from Python 3.11. + + If :external:exc:`ExceptionGroup` is already defined by Python itself, + that version is used instead. + """ + + message: str + exceptions: list[Exception] + + def __init__(self, message: str, exceptions: list[Exception]) -> None: + self.message = message + self.exceptions = exceptions + + def __repr__(self) -> str: + return f"{self.__class__.__name__}({self.message!r}, {self.exceptions!r})" + + +@dataclasses.dataclass +class _ErrorCollector: + """ + Collect errors into ExceptionGroups. + + Used like this: + + collector = _ErrorCollector() + # Add a single exception + collector.error(ValueError("one")) + + # Supports nesting, including combining ExceptionGroups + with collector.collect(): + raise ValueError("two") + collector.finalize("Found some errors") + + Since making a collector and then calling finalize later is a common pattern, + a convenience method ``on_exit`` is provided. + """ + + errors: list[Exception] = dataclasses.field(default_factory=list, init=False) + + def finalize(self, msg: str) -> None: + """Raise a group exception if there are any errors.""" + if self.errors: + raise ExceptionGroup(msg, self.errors) + + @contextlib.contextmanager + def on_exit(self, msg: str) -> typing.Generator[_ErrorCollector, None, None]: + """ + Calls finalize if no uncollected errors were present. + + Uncollected errors are raised normally. + """ + yield self + self.finalize(msg) + + @contextlib.contextmanager + def collect(self, *err_cls: type[Exception]) -> typing.Generator[None, None, None]: + """ + Context manager to collect errors into the error list. + + Must be inside loops, as only one error can be collected at a time. + """ + error_classes = err_cls or (Exception,) + try: + yield + except ExceptionGroup as error: + self.errors.extend(error.exceptions) + except error_classes as error: + self.errors.append(error) + + def error( + self, + error: Exception, + ) -> None: + """Add an error to the list.""" + self.errors.append(error) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/licenses/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/licenses/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..f95ac02e230cc465698fa99ec5424bb2baa810ac --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/licenses/__init__.py @@ -0,0 +1,198 @@ +####################################################################################### +# +# Adapted from: +# https://github.com/pypa/hatch/blob/5352e44/backend/src/hatchling/licenses/parse.py +# +# MIT License +# +# Copyright (c) 2017-present Ofek Lev +# +# Permission is hereby granted, free of charge, to any person obtaining a copy of this +# software and associated documentation files (the "Software"), to deal in the Software +# without restriction, including without limitation the rights to use, copy, modify, +# merge, publish, distribute, sublicense, and/or sell copies of the Software, and to +# permit persons to whom the Software is furnished to do so, subject to the following +# conditions: +# +# The above copyright notice and this permission notice shall be included in all copies +# or substantial portions of the Software. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, +# INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A +# PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT +# HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF +# CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE +# OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. +# +# +# With additional allowance of arbitrary `LicenseRef-` identifiers, not just +# `LicenseRef-Public-Domain` and `LicenseRef-Proprietary`. +# +####################################################################################### +from __future__ import annotations + +import re +from typing import NewType, cast + +from ._spdx import EXCEPTIONS, LICENSES + +__all__ = [ + "InvalidLicenseExpression", + "NormalizedLicenseExpression", + "canonicalize_license_expression", +] + + +# Simple __dir__ implementation since there are no public submodules +def __dir__() -> list[str]: + return __all__ + + +license_ref_allowed = re.compile("^[A-Za-z0-9.-]+$") + +NormalizedLicenseExpression = NewType("NormalizedLicenseExpression", str) +""" +A :class:`typing.NewType` of :class:`str`, representing a normalized +License-Expression. +""" + + +class InvalidLicenseExpression(ValueError): + """Raised when a license-expression string is invalid + + >>> from packaging.licenses import canonicalize_license_expression + >>> canonicalize_license_expression("invalid") + Traceback (most recent call last): + ... + packaging.licenses.InvalidLicenseExpression: Unknown license: 'invalid' + """ + + +def canonicalize_license_expression( + raw_license_expression: str, +) -> NormalizedLicenseExpression: + """ + This function takes a valid License-Expression, and returns the normalized + form of it. + + The return type is typed as :class:`NormalizedLicenseExpression`. This + allows type checkers to help require that a string has passed through this + function before use. + + :param str raw_license_expression: The License-Expression to canonicalize. + :raises InvalidLicenseExpression: If the License-Expression is invalid due to an + invalid/unknown license identifier or invalid syntax. + + .. doctest:: + + >>> from packaging.licenses import canonicalize_license_expression + >>> canonicalize_license_expression("mit") + 'MIT' + >>> canonicalize_license_expression("mit and (apache-2.0 or bsd-2-clause)") + 'MIT AND (Apache-2.0 OR BSD-2-Clause)' + >>> canonicalize_license_expression("(mit") + Traceback (most recent call last): + ... + InvalidLicenseExpression: Invalid license expression: '(mit' + >>> canonicalize_license_expression("Use-it-after-midnight") + Traceback (most recent call last): + ... + InvalidLicenseExpression: Unknown license: 'Use-it-after-midnight' + """ + if not raw_license_expression: + message = f"Invalid license expression: {raw_license_expression!r}" + raise InvalidLicenseExpression(message) + + # Pad any parentheses so tokenization can be achieved by merely splitting on + # whitespace. + license_expression = raw_license_expression.replace("(", " ( ").replace(")", " ) ") + licenseref_prefix = "LicenseRef-" + license_refs = { + ref.lower(): "LicenseRef-" + ref[len(licenseref_prefix) :] + for ref in license_expression.split() + if ref.lower().startswith(licenseref_prefix.lower()) + } + + # Normalize to lower case so we can look up licenses/exceptions + # and so boolean operators are Python-compatible. + license_expression = license_expression.lower() + + tokens = license_expression.split() + + # Rather than implementing a parenthesis/boolean logic parser, create an + # expression that Python can parse. Everything that is not involved with the + # grammar itself is replaced with the placeholder `False` and the resultant + # expression should become a valid Python expression. + python_tokens = [] + for token in tokens: + if token not in {"or", "and", "with", "(", ")"}: + python_tokens.append("False") + elif token == "with": + python_tokens.append("or") + elif ( + token == "(" + and python_tokens + and python_tokens[-1] not in {"or", "and", "("} + ) or (token == ")" and python_tokens and python_tokens[-1] == "("): + message = f"Invalid license expression: {raw_license_expression!r}" + raise InvalidLicenseExpression(message) + else: + python_tokens.append(token) + + python_expression = " ".join(python_tokens) + try: + compile(python_expression, "", "eval") + except SyntaxError: + message = f"Invalid license expression: {raw_license_expression!r}" + raise InvalidLicenseExpression(message) from None + + # Take a final pass to check for unknown licenses/exceptions. + normalized_tokens = [] + last_license_start = False + for index, token in enumerate(tokens): + if token in {"or", "and", "with", "(", ")"}: + if token == "with" and ( + not last_license_start + or index + 1 == len(tokens) + or tokens[index + 1] in {"or", "and", "with", "(", ")"} + ): + message = f"Invalid license expression: {raw_license_expression!r}" + raise InvalidLicenseExpression(message) + normalized_tokens.append(token.upper()) + last_license_start = False + continue + + if normalized_tokens and normalized_tokens[-1] == "WITH": + if token not in EXCEPTIONS: + message = f"Unknown license exception: {token!r}" + raise InvalidLicenseExpression(message) + + normalized_tokens.append(EXCEPTIONS[token]["id"]) + last_license_start = False + else: + if token.endswith("+"): + final_token = token[:-1] + suffix = "+" + else: + final_token = token + suffix = "" + + if final_token.startswith("licenseref-"): + license_ref_id = final_token[len("licenseref-") :] + if suffix or not license_ref_allowed.match(license_ref_id): + message = f"Invalid licenseref: {token!r}" + raise InvalidLicenseExpression(message) + normalized_tokens.append(license_refs[final_token]) + else: + if final_token not in LICENSES: + message = f"Unknown license: {final_token!r}" + raise InvalidLicenseExpression(message) + normalized_tokens.append(LICENSES[final_token]["id"] + suffix) + last_license_start = True + + normalized_expression = " ".join(normalized_tokens) + + return cast( + "NormalizedLicenseExpression", + normalized_expression.replace("( ", "(").replace(" )", ")"), + ) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/licenses/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/licenses/__pycache__/__init__.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..4d8d0575bd4f10f94f132f90819e61bf51e7d6f2 Binary files /dev/null and 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b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/licenses/_spdx.py @@ -0,0 +1,799 @@ + +from __future__ import annotations + +from typing import TypedDict + +class SPDXLicense(TypedDict): + id: str + deprecated: bool + +class SPDXException(TypedDict): + id: str + deprecated: bool + + +VERSION = '3.27.0' + +LICENSES: dict[str, SPDXLicense] = { + '0bsd': {'id': '0BSD', 'deprecated': False}, + '3d-slicer-1.0': {'id': '3D-Slicer-1.0', 'deprecated': False}, + 'aal': {'id': 'AAL', 'deprecated': False}, + 'abstyles': {'id': 'Abstyles', 'deprecated': False}, + 'adacore-doc': {'id': 'AdaCore-doc', 'deprecated': False}, + 'adobe-2006': {'id': 'Adobe-2006', 'deprecated': False}, + 'adobe-display-postscript': {'id': 'Adobe-Display-PostScript', 'deprecated': False}, + 'adobe-glyph': {'id': 'Adobe-Glyph', 'deprecated': False}, + 'adobe-utopia': {'id': 'Adobe-Utopia', 'deprecated': False}, + 'adsl': {'id': 'ADSL', 'deprecated': False}, + 'afl-1.1': {'id': 'AFL-1.1', 'deprecated': False}, + 'afl-1.2': {'id': 'AFL-1.2', 'deprecated': False}, + 'afl-2.0': {'id': 'AFL-2.0', 'deprecated': False}, + 'afl-2.1': {'id': 'AFL-2.1', 'deprecated': False}, + 'afl-3.0': {'id': 'AFL-3.0', 'deprecated': False}, + 'afmparse': {'id': 'Afmparse', 'deprecated': False}, + 'agpl-1.0': {'id': 'AGPL-1.0', 'deprecated': True}, + 'agpl-1.0-only': {'id': 'AGPL-1.0-only', 'deprecated': False}, + 'agpl-1.0-or-later': {'id': 'AGPL-1.0-or-later', 'deprecated': False}, + 'agpl-3.0': {'id': 'AGPL-3.0', 'deprecated': True}, + 'agpl-3.0-only': {'id': 'AGPL-3.0-only', 'deprecated': False}, + 'agpl-3.0-or-later': {'id': 'AGPL-3.0-or-later', 'deprecated': False}, + 'aladdin': {'id': 'Aladdin', 'deprecated': False}, + 'amd-newlib': {'id': 'AMD-newlib', 'deprecated': False}, + 'amdplpa': {'id': 'AMDPLPA', 'deprecated': False}, + 'aml': {'id': 'AML', 'deprecated': False}, + 'aml-glslang': {'id': 'AML-glslang', 'deprecated': False}, + 'ampas': {'id': 'AMPAS', 'deprecated': False}, + 'antlr-pd': {'id': 'ANTLR-PD', 'deprecated': False}, + 'antlr-pd-fallback': {'id': 'ANTLR-PD-fallback', 'deprecated': False}, + 'any-osi': {'id': 'any-OSI', 'deprecated': False}, + 'any-osi-perl-modules': {'id': 'any-OSI-perl-modules', 'deprecated': False}, + 'apache-1.0': {'id': 'Apache-1.0', 'deprecated': False}, + 'apache-1.1': {'id': 'Apache-1.1', 'deprecated': False}, + 'apache-2.0': {'id': 'Apache-2.0', 'deprecated': False}, + 'apafml': {'id': 'APAFML', 'deprecated': False}, + 'apl-1.0': {'id': 'APL-1.0', 'deprecated': False}, + 'app-s2p': {'id': 'App-s2p', 'deprecated': False}, + 'apsl-1.0': {'id': 'APSL-1.0', 'deprecated': False}, + 'apsl-1.1': {'id': 'APSL-1.1', 'deprecated': False}, + 'apsl-1.2': {'id': 'APSL-1.2', 'deprecated': False}, + 'apsl-2.0': {'id': 'APSL-2.0', 'deprecated': False}, + 'arphic-1999': {'id': 'Arphic-1999', 'deprecated': False}, + 'artistic-1.0': {'id': 'Artistic-1.0', 'deprecated': False}, + 'artistic-1.0-cl8': {'id': 'Artistic-1.0-cl8', 'deprecated': False}, + 'artistic-1.0-perl': {'id': 'Artistic-1.0-Perl', 'deprecated': False}, + 'artistic-2.0': {'id': 'Artistic-2.0', 'deprecated': False}, + 'artistic-dist': {'id': 'Artistic-dist', 'deprecated': False}, + 'aspell-ru': {'id': 'Aspell-RU', 'deprecated': False}, + 'aswf-digital-assets-1.0': {'id': 'ASWF-Digital-Assets-1.0', 'deprecated': False}, + 'aswf-digital-assets-1.1': {'id': 'ASWF-Digital-Assets-1.1', 'deprecated': False}, + 'baekmuk': {'id': 'Baekmuk', 'deprecated': False}, + 'bahyph': {'id': 'Bahyph', 'deprecated': False}, + 'barr': {'id': 'Barr', 'deprecated': False}, + 'bcrypt-solar-designer': {'id': 'bcrypt-Solar-Designer', 'deprecated': False}, + 'beerware': {'id': 'Beerware', 'deprecated': False}, + 'bitstream-charter': {'id': 'Bitstream-Charter', 'deprecated': False}, + 'bitstream-vera': {'id': 'Bitstream-Vera', 'deprecated': False}, + 'bittorrent-1.0': {'id': 'BitTorrent-1.0', 'deprecated': False}, + 'bittorrent-1.1': {'id': 'BitTorrent-1.1', 'deprecated': False}, + 'blessing': {'id': 'blessing', 'deprecated': False}, + 'blueoak-1.0.0': {'id': 'BlueOak-1.0.0', 'deprecated': False}, + 'boehm-gc': {'id': 'Boehm-GC', 'deprecated': False}, + 'boehm-gc-without-fee': {'id': 'Boehm-GC-without-fee', 'deprecated': False}, + 'borceux': {'id': 'Borceux', 'deprecated': False}, + 'brian-gladman-2-clause': {'id': 'Brian-Gladman-2-Clause', 'deprecated': False}, + 'brian-gladman-3-clause': {'id': 'Brian-Gladman-3-Clause', 'deprecated': False}, + 'bsd-1-clause': {'id': 'BSD-1-Clause', 'deprecated': False}, + 'bsd-2-clause': {'id': 'BSD-2-Clause', 'deprecated': False}, + 'bsd-2-clause-darwin': {'id': 'BSD-2-Clause-Darwin', 'deprecated': False}, + 'bsd-2-clause-first-lines': {'id': 'BSD-2-Clause-first-lines', 'deprecated': False}, + 'bsd-2-clause-freebsd': {'id': 'BSD-2-Clause-FreeBSD', 'deprecated': True}, + 'bsd-2-clause-netbsd': {'id': 'BSD-2-Clause-NetBSD', 'deprecated': True}, + 'bsd-2-clause-patent': {'id': 'BSD-2-Clause-Patent', 'deprecated': False}, + 'bsd-2-clause-pkgconf-disclaimer': {'id': 'BSD-2-Clause-pkgconf-disclaimer', 'deprecated': False}, + 'bsd-2-clause-views': {'id': 'BSD-2-Clause-Views', 'deprecated': False}, + 'bsd-3-clause': {'id': 'BSD-3-Clause', 'deprecated': False}, + 'bsd-3-clause-acpica': {'id': 'BSD-3-Clause-acpica', 'deprecated': False}, + 'bsd-3-clause-attribution': {'id': 'BSD-3-Clause-Attribution', 'deprecated': False}, + 'bsd-3-clause-clear': {'id': 'BSD-3-Clause-Clear', 'deprecated': False}, + 'bsd-3-clause-flex': {'id': 'BSD-3-Clause-flex', 'deprecated': False}, + 'bsd-3-clause-hp': {'id': 'BSD-3-Clause-HP', 'deprecated': False}, + 'bsd-3-clause-lbnl': {'id': 'BSD-3-Clause-LBNL', 'deprecated': False}, + 'bsd-3-clause-modification': {'id': 'BSD-3-Clause-Modification', 'deprecated': False}, + 'bsd-3-clause-no-military-license': {'id': 'BSD-3-Clause-No-Military-License', 'deprecated': False}, + 'bsd-3-clause-no-nuclear-license': {'id': 'BSD-3-Clause-No-Nuclear-License', 'deprecated': False}, + 'bsd-3-clause-no-nuclear-license-2014': {'id': 'BSD-3-Clause-No-Nuclear-License-2014', 'deprecated': False}, + 'bsd-3-clause-no-nuclear-warranty': {'id': 'BSD-3-Clause-No-Nuclear-Warranty', 'deprecated': False}, + 'bsd-3-clause-open-mpi': {'id': 'BSD-3-Clause-Open-MPI', 'deprecated': False}, + 'bsd-3-clause-sun': {'id': 'BSD-3-Clause-Sun', 'deprecated': False}, + 'bsd-4-clause': {'id': 'BSD-4-Clause', 'deprecated': False}, + 'bsd-4-clause-shortened': {'id': 'BSD-4-Clause-Shortened', 'deprecated': False}, + 'bsd-4-clause-uc': {'id': 'BSD-4-Clause-UC', 'deprecated': False}, + 'bsd-4.3reno': {'id': 'BSD-4.3RENO', 'deprecated': False}, + 'bsd-4.3tahoe': {'id': 'BSD-4.3TAHOE', 'deprecated': False}, + 'bsd-advertising-acknowledgement': {'id': 'BSD-Advertising-Acknowledgement', 'deprecated': False}, + 'bsd-attribution-hpnd-disclaimer': {'id': 'BSD-Attribution-HPND-disclaimer', 'deprecated': False}, + 'bsd-inferno-nettverk': {'id': 'BSD-Inferno-Nettverk', 'deprecated': False}, + 'bsd-protection': {'id': 'BSD-Protection', 'deprecated': False}, + 'bsd-source-beginning-file': {'id': 'BSD-Source-beginning-file', 'deprecated': False}, + 'bsd-source-code': {'id': 'BSD-Source-Code', 'deprecated': False}, + 'bsd-systemics': {'id': 'BSD-Systemics', 'deprecated': False}, + 'bsd-systemics-w3works': {'id': 'BSD-Systemics-W3Works', 'deprecated': False}, + 'bsl-1.0': {'id': 'BSL-1.0', 'deprecated': False}, + 'busl-1.1': {'id': 'BUSL-1.1', 'deprecated': False}, + 'bzip2-1.0.5': {'id': 'bzip2-1.0.5', 'deprecated': True}, + 'bzip2-1.0.6': {'id': 'bzip2-1.0.6', 'deprecated': False}, + 'c-uda-1.0': {'id': 'C-UDA-1.0', 'deprecated': False}, + 'cal-1.0': {'id': 'CAL-1.0', 'deprecated': False}, + 'cal-1.0-combined-work-exception': {'id': 'CAL-1.0-Combined-Work-Exception', 'deprecated': False}, + 'caldera': {'id': 'Caldera', 'deprecated': False}, + 'caldera-no-preamble': {'id': 'Caldera-no-preamble', 'deprecated': False}, + 'catharon': {'id': 'Catharon', 'deprecated': False}, + 'catosl-1.1': {'id': 'CATOSL-1.1', 'deprecated': False}, + 'cc-by-1.0': {'id': 'CC-BY-1.0', 'deprecated': False}, + 'cc-by-2.0': {'id': 'CC-BY-2.0', 'deprecated': False}, + 'cc-by-2.5': {'id': 'CC-BY-2.5', 'deprecated': False}, + 'cc-by-2.5-au': {'id': 'CC-BY-2.5-AU', 'deprecated': False}, + 'cc-by-3.0': {'id': 'CC-BY-3.0', 'deprecated': False}, + 'cc-by-3.0-at': {'id': 'CC-BY-3.0-AT', 'deprecated': False}, + 'cc-by-3.0-au': {'id': 'CC-BY-3.0-AU', 'deprecated': False}, + 'cc-by-3.0-de': {'id': 'CC-BY-3.0-DE', 'deprecated': False}, + 'cc-by-3.0-igo': {'id': 'CC-BY-3.0-IGO', 'deprecated': False}, + 'cc-by-3.0-nl': {'id': 'CC-BY-3.0-NL', 'deprecated': False}, + 'cc-by-3.0-us': {'id': 'CC-BY-3.0-US', 'deprecated': False}, + 'cc-by-4.0': {'id': 'CC-BY-4.0', 'deprecated': False}, + 'cc-by-nc-1.0': {'id': 'CC-BY-NC-1.0', 'deprecated': False}, + 'cc-by-nc-2.0': {'id': 'CC-BY-NC-2.0', 'deprecated': False}, + 'cc-by-nc-2.5': {'id': 'CC-BY-NC-2.5', 'deprecated': False}, + 'cc-by-nc-3.0': {'id': 'CC-BY-NC-3.0', 'deprecated': False}, + 'cc-by-nc-3.0-de': {'id': 'CC-BY-NC-3.0-DE', 'deprecated': False}, + 'cc-by-nc-4.0': {'id': 'CC-BY-NC-4.0', 'deprecated': False}, + 'cc-by-nc-nd-1.0': {'id': 'CC-BY-NC-ND-1.0', 'deprecated': False}, + 'cc-by-nc-nd-2.0': {'id': 'CC-BY-NC-ND-2.0', 'deprecated': False}, + 'cc-by-nc-nd-2.5': {'id': 'CC-BY-NC-ND-2.5', 'deprecated': False}, + 'cc-by-nc-nd-3.0': {'id': 'CC-BY-NC-ND-3.0', 'deprecated': False}, + 'cc-by-nc-nd-3.0-de': {'id': 'CC-BY-NC-ND-3.0-DE', 'deprecated': False}, + 'cc-by-nc-nd-3.0-igo': {'id': 'CC-BY-NC-ND-3.0-IGO', 'deprecated': False}, + 'cc-by-nc-nd-4.0': {'id': 'CC-BY-NC-ND-4.0', 'deprecated': False}, + 'cc-by-nc-sa-1.0': {'id': 'CC-BY-NC-SA-1.0', 'deprecated': False}, + 'cc-by-nc-sa-2.0': {'id': 'CC-BY-NC-SA-2.0', 'deprecated': False}, + 'cc-by-nc-sa-2.0-de': {'id': 'CC-BY-NC-SA-2.0-DE', 'deprecated': False}, + 'cc-by-nc-sa-2.0-fr': {'id': 'CC-BY-NC-SA-2.0-FR', 'deprecated': False}, + 'cc-by-nc-sa-2.0-uk': {'id': 'CC-BY-NC-SA-2.0-UK', 'deprecated': False}, + 'cc-by-nc-sa-2.5': {'id': 'CC-BY-NC-SA-2.5', 'deprecated': False}, + 'cc-by-nc-sa-3.0': {'id': 'CC-BY-NC-SA-3.0', 'deprecated': False}, + 'cc-by-nc-sa-3.0-de': {'id': 'CC-BY-NC-SA-3.0-DE', 'deprecated': False}, + 'cc-by-nc-sa-3.0-igo': {'id': 'CC-BY-NC-SA-3.0-IGO', 'deprecated': False}, + 'cc-by-nc-sa-4.0': {'id': 'CC-BY-NC-SA-4.0', 'deprecated': False}, + 'cc-by-nd-1.0': {'id': 'CC-BY-ND-1.0', 'deprecated': False}, + 'cc-by-nd-2.0': {'id': 'CC-BY-ND-2.0', 'deprecated': False}, + 'cc-by-nd-2.5': {'id': 'CC-BY-ND-2.5', 'deprecated': False}, + 'cc-by-nd-3.0': {'id': 'CC-BY-ND-3.0', 'deprecated': False}, + 'cc-by-nd-3.0-de': {'id': 'CC-BY-ND-3.0-DE', 'deprecated': False}, + 'cc-by-nd-4.0': {'id': 'CC-BY-ND-4.0', 'deprecated': False}, + 'cc-by-sa-1.0': {'id': 'CC-BY-SA-1.0', 'deprecated': False}, + 'cc-by-sa-2.0': {'id': 'CC-BY-SA-2.0', 'deprecated': False}, + 'cc-by-sa-2.0-uk': {'id': 'CC-BY-SA-2.0-UK', 'deprecated': False}, + 'cc-by-sa-2.1-jp': {'id': 'CC-BY-SA-2.1-JP', 'deprecated': False}, + 'cc-by-sa-2.5': {'id': 'CC-BY-SA-2.5', 'deprecated': False}, + 'cc-by-sa-3.0': {'id': 'CC-BY-SA-3.0', 'deprecated': False}, + 'cc-by-sa-3.0-at': {'id': 'CC-BY-SA-3.0-AT', 'deprecated': False}, + 'cc-by-sa-3.0-de': {'id': 'CC-BY-SA-3.0-DE', 'deprecated': False}, + 'cc-by-sa-3.0-igo': {'id': 'CC-BY-SA-3.0-IGO', 'deprecated': False}, + 'cc-by-sa-4.0': {'id': 'CC-BY-SA-4.0', 'deprecated': False}, + 'cc-pddc': {'id': 'CC-PDDC', 'deprecated': False}, + 'cc-pdm-1.0': {'id': 'CC-PDM-1.0', 'deprecated': False}, + 'cc-sa-1.0': {'id': 'CC-SA-1.0', 'deprecated': False}, + 'cc0-1.0': {'id': 'CC0-1.0', 'deprecated': False}, + 'cddl-1.0': {'id': 'CDDL-1.0', 'deprecated': False}, + 'cddl-1.1': {'id': 'CDDL-1.1', 'deprecated': False}, + 'cdl-1.0': {'id': 'CDL-1.0', 'deprecated': False}, + 'cdla-permissive-1.0': {'id': 'CDLA-Permissive-1.0', 'deprecated': False}, + 'cdla-permissive-2.0': {'id': 'CDLA-Permissive-2.0', 'deprecated': False}, + 'cdla-sharing-1.0': {'id': 'CDLA-Sharing-1.0', 'deprecated': False}, + 'cecill-1.0': {'id': 'CECILL-1.0', 'deprecated': False}, + 'cecill-1.1': {'id': 'CECILL-1.1', 'deprecated': False}, + 'cecill-2.0': {'id': 'CECILL-2.0', 'deprecated': False}, + 'cecill-2.1': {'id': 'CECILL-2.1', 'deprecated': False}, + 'cecill-b': {'id': 'CECILL-B', 'deprecated': False}, + 'cecill-c': {'id': 'CECILL-C', 'deprecated': False}, + 'cern-ohl-1.1': {'id': 'CERN-OHL-1.1', 'deprecated': False}, + 'cern-ohl-1.2': {'id': 'CERN-OHL-1.2', 'deprecated': False}, + 'cern-ohl-p-2.0': {'id': 'CERN-OHL-P-2.0', 'deprecated': False}, + 'cern-ohl-s-2.0': {'id': 'CERN-OHL-S-2.0', 'deprecated': False}, + 'cern-ohl-w-2.0': {'id': 'CERN-OHL-W-2.0', 'deprecated': False}, + 'cfitsio': {'id': 'CFITSIO', 'deprecated': False}, + 'check-cvs': {'id': 'check-cvs', 'deprecated': False}, + 'checkmk': {'id': 'checkmk', 'deprecated': False}, + 'clartistic': {'id': 'ClArtistic', 'deprecated': False}, + 'clips': {'id': 'Clips', 'deprecated': False}, + 'cmu-mach': {'id': 'CMU-Mach', 'deprecated': False}, + 'cmu-mach-nodoc': {'id': 'CMU-Mach-nodoc', 'deprecated': False}, + 'cnri-jython': {'id': 'CNRI-Jython', 'deprecated': False}, + 'cnri-python': {'id': 'CNRI-Python', 'deprecated': False}, + 'cnri-python-gpl-compatible': {'id': 'CNRI-Python-GPL-Compatible', 'deprecated': False}, + 'coil-1.0': {'id': 'COIL-1.0', 'deprecated': False}, + 'community-spec-1.0': {'id': 'Community-Spec-1.0', 'deprecated': False}, + 'condor-1.1': {'id': 'Condor-1.1', 'deprecated': False}, + 'copyleft-next-0.3.0': {'id': 'copyleft-next-0.3.0', 'deprecated': False}, + 'copyleft-next-0.3.1': {'id': 'copyleft-next-0.3.1', 'deprecated': False}, + 'cornell-lossless-jpeg': {'id': 'Cornell-Lossless-JPEG', 'deprecated': False}, + 'cpal-1.0': {'id': 'CPAL-1.0', 'deprecated': False}, + 'cpl-1.0': {'id': 'CPL-1.0', 'deprecated': False}, + 'cpol-1.02': {'id': 'CPOL-1.02', 'deprecated': False}, + 'cronyx': {'id': 'Cronyx', 'deprecated': False}, + 'crossword': {'id': 'Crossword', 'deprecated': False}, + 'cryptoswift': {'id': 'CryptoSwift', 'deprecated': False}, + 'crystalstacker': {'id': 'CrystalStacker', 'deprecated': False}, + 'cua-opl-1.0': {'id': 'CUA-OPL-1.0', 'deprecated': False}, + 'cube': {'id': 'Cube', 'deprecated': False}, + 'curl': {'id': 'curl', 'deprecated': False}, + 'cve-tou': {'id': 'cve-tou', 'deprecated': False}, + 'd-fsl-1.0': {'id': 'D-FSL-1.0', 'deprecated': False}, + 'dec-3-clause': {'id': 'DEC-3-Clause', 'deprecated': False}, + 'diffmark': {'id': 'diffmark', 'deprecated': False}, + 'dl-de-by-2.0': {'id': 'DL-DE-BY-2.0', 'deprecated': False}, + 'dl-de-zero-2.0': {'id': 'DL-DE-ZERO-2.0', 'deprecated': False}, + 'doc': {'id': 'DOC', 'deprecated': False}, + 'docbook-dtd': {'id': 'DocBook-DTD', 'deprecated': False}, + 'docbook-schema': {'id': 'DocBook-Schema', 'deprecated': False}, + 'docbook-stylesheet': {'id': 'DocBook-Stylesheet', 'deprecated': False}, + 'docbook-xml': {'id': 'DocBook-XML', 'deprecated': False}, + 'dotseqn': {'id': 'Dotseqn', 'deprecated': False}, + 'drl-1.0': {'id': 'DRL-1.0', 'deprecated': False}, + 'drl-1.1': {'id': 'DRL-1.1', 'deprecated': False}, + 'dsdp': {'id': 'DSDP', 'deprecated': False}, + 'dtoa': {'id': 'dtoa', 'deprecated': False}, + 'dvipdfm': {'id': 'dvipdfm', 'deprecated': False}, + 'ecl-1.0': {'id': 'ECL-1.0', 'deprecated': False}, + 'ecl-2.0': {'id': 'ECL-2.0', 'deprecated': False}, + 'ecos-2.0': {'id': 'eCos-2.0', 'deprecated': True}, + 'efl-1.0': {'id': 'EFL-1.0', 'deprecated': False}, + 'efl-2.0': {'id': 'EFL-2.0', 'deprecated': False}, + 'egenix': {'id': 'eGenix', 'deprecated': False}, + 'elastic-2.0': {'id': 'Elastic-2.0', 'deprecated': False}, + 'entessa': {'id': 'Entessa', 'deprecated': False}, + 'epics': {'id': 'EPICS', 'deprecated': False}, + 'epl-1.0': {'id': 'EPL-1.0', 'deprecated': False}, + 'epl-2.0': {'id': 'EPL-2.0', 'deprecated': False}, + 'erlpl-1.1': {'id': 'ErlPL-1.1', 'deprecated': False}, + 'etalab-2.0': {'id': 'etalab-2.0', 'deprecated': False}, + 'eudatagrid': {'id': 'EUDatagrid', 'deprecated': False}, + 'eupl-1.0': {'id': 'EUPL-1.0', 'deprecated': False}, + 'eupl-1.1': {'id': 'EUPL-1.1', 'deprecated': False}, + 'eupl-1.2': {'id': 'EUPL-1.2', 'deprecated': False}, + 'eurosym': {'id': 'Eurosym', 'deprecated': False}, + 'fair': {'id': 'Fair', 'deprecated': False}, + 'fbm': {'id': 'FBM', 'deprecated': False}, + 'fdk-aac': {'id': 'FDK-AAC', 'deprecated': False}, + 'ferguson-twofish': {'id': 'Ferguson-Twofish', 'deprecated': False}, + 'frameworx-1.0': {'id': 'Frameworx-1.0', 'deprecated': False}, + 'freebsd-doc': {'id': 'FreeBSD-DOC', 'deprecated': False}, + 'freeimage': {'id': 'FreeImage', 'deprecated': False}, + 'fsfap': {'id': 'FSFAP', 'deprecated': False}, + 'fsfap-no-warranty-disclaimer': {'id': 'FSFAP-no-warranty-disclaimer', 'deprecated': False}, + 'fsful': {'id': 'FSFUL', 'deprecated': False}, + 'fsfullr': {'id': 'FSFULLR', 'deprecated': False}, + 'fsfullrsd': {'id': 'FSFULLRSD', 'deprecated': False}, + 'fsfullrwd': {'id': 'FSFULLRWD', 'deprecated': False}, + 'fsl-1.1-alv2': {'id': 'FSL-1.1-ALv2', 'deprecated': False}, + 'fsl-1.1-mit': {'id': 'FSL-1.1-MIT', 'deprecated': False}, + 'ftl': {'id': 'FTL', 'deprecated': False}, + 'furuseth': {'id': 'Furuseth', 'deprecated': False}, + 'fwlw': {'id': 'fwlw', 'deprecated': False}, + 'game-programming-gems': {'id': 'Game-Programming-Gems', 'deprecated': False}, + 'gcr-docs': {'id': 'GCR-docs', 'deprecated': False}, + 'gd': {'id': 'GD', 'deprecated': False}, + 'generic-xts': {'id': 'generic-xts', 'deprecated': False}, + 'gfdl-1.1': {'id': 'GFDL-1.1', 'deprecated': True}, + 'gfdl-1.1-invariants-only': {'id': 'GFDL-1.1-invariants-only', 'deprecated': False}, + 'gfdl-1.1-invariants-or-later': {'id': 'GFDL-1.1-invariants-or-later', 'deprecated': False}, + 'gfdl-1.1-no-invariants-only': {'id': 'GFDL-1.1-no-invariants-only', 'deprecated': False}, + 'gfdl-1.1-no-invariants-or-later': {'id': 'GFDL-1.1-no-invariants-or-later', 'deprecated': False}, + 'gfdl-1.1-only': {'id': 'GFDL-1.1-only', 'deprecated': False}, + 'gfdl-1.1-or-later': {'id': 'GFDL-1.1-or-later', 'deprecated': False}, + 'gfdl-1.2': {'id': 'GFDL-1.2', 'deprecated': True}, + 'gfdl-1.2-invariants-only': {'id': 'GFDL-1.2-invariants-only', 'deprecated': False}, + 'gfdl-1.2-invariants-or-later': {'id': 'GFDL-1.2-invariants-or-later', 'deprecated': False}, + 'gfdl-1.2-no-invariants-only': {'id': 'GFDL-1.2-no-invariants-only', 'deprecated': False}, + 'gfdl-1.2-no-invariants-or-later': {'id': 'GFDL-1.2-no-invariants-or-later', 'deprecated': False}, + 'gfdl-1.2-only': {'id': 'GFDL-1.2-only', 'deprecated': False}, + 'gfdl-1.2-or-later': {'id': 'GFDL-1.2-or-later', 'deprecated': False}, + 'gfdl-1.3': {'id': 'GFDL-1.3', 'deprecated': True}, + 'gfdl-1.3-invariants-only': {'id': 'GFDL-1.3-invariants-only', 'deprecated': False}, + 'gfdl-1.3-invariants-or-later': {'id': 'GFDL-1.3-invariants-or-later', 'deprecated': False}, + 'gfdl-1.3-no-invariants-only': {'id': 'GFDL-1.3-no-invariants-only', 'deprecated': False}, + 'gfdl-1.3-no-invariants-or-later': {'id': 'GFDL-1.3-no-invariants-or-later', 'deprecated': False}, + 'gfdl-1.3-only': {'id': 'GFDL-1.3-only', 'deprecated': False}, + 'gfdl-1.3-or-later': {'id': 'GFDL-1.3-or-later', 'deprecated': False}, + 'giftware': {'id': 'Giftware', 'deprecated': False}, + 'gl2ps': {'id': 'GL2PS', 'deprecated': False}, + 'glide': {'id': 'Glide', 'deprecated': False}, + 'glulxe': {'id': 'Glulxe', 'deprecated': False}, + 'glwtpl': {'id': 'GLWTPL', 'deprecated': False}, + 'gnuplot': {'id': 'gnuplot', 'deprecated': False}, + 'gpl-1.0': {'id': 'GPL-1.0', 'deprecated': True}, + 'gpl-1.0+': {'id': 'GPL-1.0+', 'deprecated': True}, + 'gpl-1.0-only': {'id': 'GPL-1.0-only', 'deprecated': False}, + 'gpl-1.0-or-later': {'id': 'GPL-1.0-or-later', 'deprecated': False}, + 'gpl-2.0': {'id': 'GPL-2.0', 'deprecated': True}, + 'gpl-2.0+': {'id': 'GPL-2.0+', 'deprecated': True}, + 'gpl-2.0-only': {'id': 'GPL-2.0-only', 'deprecated': False}, + 'gpl-2.0-or-later': {'id': 'GPL-2.0-or-later', 'deprecated': False}, + 'gpl-2.0-with-autoconf-exception': {'id': 'GPL-2.0-with-autoconf-exception', 'deprecated': True}, + 'gpl-2.0-with-bison-exception': {'id': 'GPL-2.0-with-bison-exception', 'deprecated': True}, + 'gpl-2.0-with-classpath-exception': {'id': 'GPL-2.0-with-classpath-exception', 'deprecated': True}, + 'gpl-2.0-with-font-exception': {'id': 'GPL-2.0-with-font-exception', 'deprecated': True}, + 'gpl-2.0-with-gcc-exception': {'id': 'GPL-2.0-with-GCC-exception', 'deprecated': True}, + 'gpl-3.0': {'id': 'GPL-3.0', 'deprecated': True}, + 'gpl-3.0+': {'id': 'GPL-3.0+', 'deprecated': True}, + 'gpl-3.0-only': {'id': 'GPL-3.0-only', 'deprecated': False}, + 'gpl-3.0-or-later': {'id': 'GPL-3.0-or-later', 'deprecated': False}, + 'gpl-3.0-with-autoconf-exception': {'id': 'GPL-3.0-with-autoconf-exception', 'deprecated': True}, + 'gpl-3.0-with-gcc-exception': {'id': 'GPL-3.0-with-GCC-exception', 'deprecated': True}, + 'graphics-gems': {'id': 'Graphics-Gems', 'deprecated': False}, + 'gsoap-1.3b': {'id': 'gSOAP-1.3b', 'deprecated': False}, + 'gtkbook': {'id': 'gtkbook', 'deprecated': False}, + 'gutmann': {'id': 'Gutmann', 'deprecated': False}, + 'haskellreport': {'id': 'HaskellReport', 'deprecated': False}, + 'hdf5': {'id': 'HDF5', 'deprecated': False}, + 'hdparm': {'id': 'hdparm', 'deprecated': False}, + 'hidapi': {'id': 'HIDAPI', 'deprecated': False}, + 'hippocratic-2.1': {'id': 'Hippocratic-2.1', 'deprecated': False}, + 'hp-1986': {'id': 'HP-1986', 'deprecated': False}, + 'hp-1989': {'id': 'HP-1989', 'deprecated': False}, + 'hpnd': {'id': 'HPND', 'deprecated': False}, + 'hpnd-dec': {'id': 'HPND-DEC', 'deprecated': False}, + 'hpnd-doc': {'id': 'HPND-doc', 'deprecated': False}, + 'hpnd-doc-sell': {'id': 'HPND-doc-sell', 'deprecated': False}, + 'hpnd-export-us': {'id': 'HPND-export-US', 'deprecated': False}, + 'hpnd-export-us-acknowledgement': {'id': 'HPND-export-US-acknowledgement', 'deprecated': False}, + 'hpnd-export-us-modify': {'id': 'HPND-export-US-modify', 'deprecated': False}, + 'hpnd-export2-us': {'id': 'HPND-export2-US', 'deprecated': False}, + 'hpnd-fenneberg-livingston': {'id': 'HPND-Fenneberg-Livingston', 'deprecated': False}, + 'hpnd-inria-imag': {'id': 'HPND-INRIA-IMAG', 'deprecated': False}, + 'hpnd-intel': {'id': 'HPND-Intel', 'deprecated': False}, + 'hpnd-kevlin-henney': {'id': 'HPND-Kevlin-Henney', 'deprecated': False}, + 'hpnd-markus-kuhn': {'id': 'HPND-Markus-Kuhn', 'deprecated': False}, + 'hpnd-merchantability-variant': {'id': 'HPND-merchantability-variant', 'deprecated': False}, + 'hpnd-mit-disclaimer': {'id': 'HPND-MIT-disclaimer', 'deprecated': False}, + 'hpnd-netrek': {'id': 'HPND-Netrek', 'deprecated': False}, + 'hpnd-pbmplus': {'id': 'HPND-Pbmplus', 'deprecated': False}, + 'hpnd-sell-mit-disclaimer-xserver': {'id': 'HPND-sell-MIT-disclaimer-xserver', 'deprecated': False}, + 'hpnd-sell-regexpr': {'id': 'HPND-sell-regexpr', 'deprecated': False}, + 'hpnd-sell-variant': {'id': 'HPND-sell-variant', 'deprecated': False}, + 'hpnd-sell-variant-mit-disclaimer': {'id': 'HPND-sell-variant-MIT-disclaimer', 'deprecated': False}, + 'hpnd-sell-variant-mit-disclaimer-rev': {'id': 'HPND-sell-variant-MIT-disclaimer-rev', 'deprecated': False}, + 'hpnd-uc': {'id': 'HPND-UC', 'deprecated': False}, + 'hpnd-uc-export-us': {'id': 'HPND-UC-export-US', 'deprecated': False}, + 'htmltidy': {'id': 'HTMLTIDY', 'deprecated': False}, + 'ibm-pibs': {'id': 'IBM-pibs', 'deprecated': False}, + 'icu': {'id': 'ICU', 'deprecated': False}, + 'iec-code-components-eula': {'id': 'IEC-Code-Components-EULA', 'deprecated': False}, + 'ijg': {'id': 'IJG', 'deprecated': False}, + 'ijg-short': {'id': 'IJG-short', 'deprecated': False}, + 'imagemagick': {'id': 'ImageMagick', 'deprecated': False}, + 'imatix': {'id': 'iMatix', 'deprecated': False}, + 'imlib2': {'id': 'Imlib2', 'deprecated': False}, + 'info-zip': {'id': 'Info-ZIP', 'deprecated': False}, + 'inner-net-2.0': {'id': 'Inner-Net-2.0', 'deprecated': False}, + 'innosetup': {'id': 'InnoSetup', 'deprecated': False}, + 'intel': {'id': 'Intel', 'deprecated': False}, + 'intel-acpi': {'id': 'Intel-ACPI', 'deprecated': False}, + 'interbase-1.0': {'id': 'Interbase-1.0', 'deprecated': False}, + 'ipa': {'id': 'IPA', 'deprecated': False}, + 'ipl-1.0': {'id': 'IPL-1.0', 'deprecated': False}, + 'isc': {'id': 'ISC', 'deprecated': False}, + 'isc-veillard': {'id': 'ISC-Veillard', 'deprecated': False}, + 'jam': {'id': 'Jam', 'deprecated': False}, + 'jasper-2.0': {'id': 'JasPer-2.0', 'deprecated': False}, + 'jove': {'id': 'jove', 'deprecated': False}, + 'jpl-image': {'id': 'JPL-image', 'deprecated': False}, + 'jpnic': {'id': 'JPNIC', 'deprecated': False}, + 'json': {'id': 'JSON', 'deprecated': False}, + 'kastrup': {'id': 'Kastrup', 'deprecated': False}, + 'kazlib': {'id': 'Kazlib', 'deprecated': False}, + 'knuth-ctan': {'id': 'Knuth-CTAN', 'deprecated': False}, + 'lal-1.2': {'id': 'LAL-1.2', 'deprecated': False}, + 'lal-1.3': {'id': 'LAL-1.3', 'deprecated': False}, + 'latex2e': {'id': 'Latex2e', 'deprecated': False}, + 'latex2e-translated-notice': {'id': 'Latex2e-translated-notice', 'deprecated': False}, + 'leptonica': {'id': 'Leptonica', 'deprecated': False}, + 'lgpl-2.0': {'id': 'LGPL-2.0', 'deprecated': True}, + 'lgpl-2.0+': {'id': 'LGPL-2.0+', 'deprecated': True}, + 'lgpl-2.0-only': {'id': 'LGPL-2.0-only', 'deprecated': False}, + 'lgpl-2.0-or-later': {'id': 'LGPL-2.0-or-later', 'deprecated': False}, + 'lgpl-2.1': {'id': 'LGPL-2.1', 'deprecated': True}, + 'lgpl-2.1+': {'id': 'LGPL-2.1+', 'deprecated': True}, + 'lgpl-2.1-only': {'id': 'LGPL-2.1-only', 'deprecated': False}, + 'lgpl-2.1-or-later': {'id': 'LGPL-2.1-or-later', 'deprecated': False}, + 'lgpl-3.0': {'id': 'LGPL-3.0', 'deprecated': True}, + 'lgpl-3.0+': {'id': 'LGPL-3.0+', 'deprecated': True}, + 'lgpl-3.0-only': {'id': 'LGPL-3.0-only', 'deprecated': False}, + 'lgpl-3.0-or-later': {'id': 'LGPL-3.0-or-later', 'deprecated': False}, + 'lgpllr': {'id': 'LGPLLR', 'deprecated': False}, + 'libpng': {'id': 'Libpng', 'deprecated': False}, + 'libpng-1.6.35': {'id': 'libpng-1.6.35', 'deprecated': False}, + 'libpng-2.0': {'id': 'libpng-2.0', 'deprecated': False}, + 'libselinux-1.0': {'id': 'libselinux-1.0', 'deprecated': False}, + 'libtiff': {'id': 'libtiff', 'deprecated': False}, + 'libutil-david-nugent': {'id': 'libutil-David-Nugent', 'deprecated': False}, + 'liliq-p-1.1': {'id': 'LiLiQ-P-1.1', 'deprecated': False}, + 'liliq-r-1.1': {'id': 'LiLiQ-R-1.1', 'deprecated': False}, + 'liliq-rplus-1.1': {'id': 'LiLiQ-Rplus-1.1', 'deprecated': False}, + 'linux-man-pages-1-para': {'id': 'Linux-man-pages-1-para', 'deprecated': False}, + 'linux-man-pages-copyleft': {'id': 'Linux-man-pages-copyleft', 'deprecated': False}, + 'linux-man-pages-copyleft-2-para': {'id': 'Linux-man-pages-copyleft-2-para', 'deprecated': False}, + 'linux-man-pages-copyleft-var': {'id': 'Linux-man-pages-copyleft-var', 'deprecated': False}, + 'linux-openib': {'id': 'Linux-OpenIB', 'deprecated': False}, + 'loop': {'id': 'LOOP', 'deprecated': False}, + 'lpd-document': {'id': 'LPD-document', 'deprecated': False}, + 'lpl-1.0': {'id': 'LPL-1.0', 'deprecated': False}, + 'lpl-1.02': {'id': 'LPL-1.02', 'deprecated': False}, + 'lppl-1.0': {'id': 'LPPL-1.0', 'deprecated': False}, + 'lppl-1.1': {'id': 'LPPL-1.1', 'deprecated': False}, + 'lppl-1.2': {'id': 'LPPL-1.2', 'deprecated': False}, + 'lppl-1.3a': {'id': 'LPPL-1.3a', 'deprecated': False}, + 'lppl-1.3c': {'id': 'LPPL-1.3c', 'deprecated': False}, + 'lsof': {'id': 'lsof', 'deprecated': False}, + 'lucida-bitmap-fonts': {'id': 'Lucida-Bitmap-Fonts', 'deprecated': False}, + 'lzma-sdk-9.11-to-9.20': {'id': 'LZMA-SDK-9.11-to-9.20', 'deprecated': False}, + 'lzma-sdk-9.22': {'id': 'LZMA-SDK-9.22', 'deprecated': False}, + 'mackerras-3-clause': {'id': 'Mackerras-3-Clause', 'deprecated': False}, + 'mackerras-3-clause-acknowledgment': {'id': 'Mackerras-3-Clause-acknowledgment', 'deprecated': False}, + 'magaz': {'id': 'magaz', 'deprecated': False}, + 'mailprio': {'id': 'mailprio', 'deprecated': False}, + 'makeindex': {'id': 'MakeIndex', 'deprecated': False}, + 'man2html': {'id': 'man2html', 'deprecated': False}, + 'martin-birgmeier': {'id': 'Martin-Birgmeier', 'deprecated': False}, + 'mcphee-slideshow': {'id': 'McPhee-slideshow', 'deprecated': False}, + 'metamail': {'id': 'metamail', 'deprecated': False}, + 'minpack': {'id': 'Minpack', 'deprecated': False}, + 'mips': {'id': 'MIPS', 'deprecated': False}, + 'miros': {'id': 'MirOS', 'deprecated': False}, + 'mit': {'id': 'MIT', 'deprecated': False}, + 'mit-0': {'id': 'MIT-0', 'deprecated': False}, + 'mit-advertising': {'id': 'MIT-advertising', 'deprecated': False}, + 'mit-click': {'id': 'MIT-Click', 'deprecated': False}, + 'mit-cmu': {'id': 'MIT-CMU', 'deprecated': False}, + 'mit-enna': {'id': 'MIT-enna', 'deprecated': False}, + 'mit-feh': {'id': 'MIT-feh', 'deprecated': False}, + 'mit-festival': {'id': 'MIT-Festival', 'deprecated': False}, + 'mit-khronos-old': {'id': 'MIT-Khronos-old', 'deprecated': False}, + 'mit-modern-variant': {'id': 'MIT-Modern-Variant', 'deprecated': False}, + 'mit-open-group': {'id': 'MIT-open-group', 'deprecated': False}, + 'mit-testregex': {'id': 'MIT-testregex', 'deprecated': False}, + 'mit-wu': {'id': 'MIT-Wu', 'deprecated': False}, + 'mitnfa': {'id': 'MITNFA', 'deprecated': False}, + 'mmixware': {'id': 'MMIXware', 'deprecated': False}, + 'motosoto': {'id': 'Motosoto', 'deprecated': False}, + 'mpeg-ssg': {'id': 'MPEG-SSG', 'deprecated': False}, + 'mpi-permissive': {'id': 'mpi-permissive', 'deprecated': False}, + 'mpich2': {'id': 'mpich2', 'deprecated': False}, + 'mpl-1.0': {'id': 'MPL-1.0', 'deprecated': False}, + 'mpl-1.1': {'id': 'MPL-1.1', 'deprecated': False}, + 'mpl-2.0': {'id': 'MPL-2.0', 'deprecated': False}, + 'mpl-2.0-no-copyleft-exception': {'id': 'MPL-2.0-no-copyleft-exception', 'deprecated': False}, + 'mplus': {'id': 'mplus', 'deprecated': False}, + 'ms-lpl': {'id': 'MS-LPL', 'deprecated': False}, + 'ms-pl': {'id': 'MS-PL', 'deprecated': False}, + 'ms-rl': {'id': 'MS-RL', 'deprecated': False}, + 'mtll': {'id': 'MTLL', 'deprecated': False}, + 'mulanpsl-1.0': {'id': 'MulanPSL-1.0', 'deprecated': False}, + 'mulanpsl-2.0': {'id': 'MulanPSL-2.0', 'deprecated': False}, + 'multics': {'id': 'Multics', 'deprecated': False}, + 'mup': {'id': 'Mup', 'deprecated': False}, + 'naist-2003': {'id': 'NAIST-2003', 'deprecated': False}, + 'nasa-1.3': {'id': 'NASA-1.3', 'deprecated': False}, + 'naumen': {'id': 'Naumen', 'deprecated': False}, + 'nbpl-1.0': {'id': 'NBPL-1.0', 'deprecated': False}, + 'ncbi-pd': {'id': 'NCBI-PD', 'deprecated': False}, + 'ncgl-uk-2.0': {'id': 'NCGL-UK-2.0', 'deprecated': False}, + 'ncl': {'id': 'NCL', 'deprecated': False}, + 'ncsa': {'id': 'NCSA', 'deprecated': False}, + 'net-snmp': {'id': 'Net-SNMP', 'deprecated': True}, + 'netcdf': {'id': 'NetCDF', 'deprecated': False}, + 'newsletr': {'id': 'Newsletr', 'deprecated': False}, + 'ngpl': {'id': 'NGPL', 'deprecated': False}, + 'ngrep': {'id': 'ngrep', 'deprecated': False}, + 'nicta-1.0': {'id': 'NICTA-1.0', 'deprecated': False}, + 'nist-pd': {'id': 'NIST-PD', 'deprecated': False}, + 'nist-pd-fallback': {'id': 'NIST-PD-fallback', 'deprecated': False}, + 'nist-software': {'id': 'NIST-Software', 'deprecated': False}, + 'nlod-1.0': {'id': 'NLOD-1.0', 'deprecated': False}, + 'nlod-2.0': {'id': 'NLOD-2.0', 'deprecated': False}, + 'nlpl': {'id': 'NLPL', 'deprecated': False}, + 'nokia': {'id': 'Nokia', 'deprecated': False}, + 'nosl': {'id': 'NOSL', 'deprecated': False}, + 'noweb': {'id': 'Noweb', 'deprecated': False}, + 'npl-1.0': {'id': 'NPL-1.0', 'deprecated': False}, + 'npl-1.1': {'id': 'NPL-1.1', 'deprecated': False}, + 'nposl-3.0': {'id': 'NPOSL-3.0', 'deprecated': False}, + 'nrl': {'id': 'NRL', 'deprecated': False}, + 'ntia-pd': {'id': 'NTIA-PD', 'deprecated': False}, + 'ntp': {'id': 'NTP', 'deprecated': False}, + 'ntp-0': {'id': 'NTP-0', 'deprecated': False}, + 'nunit': {'id': 'Nunit', 'deprecated': True}, + 'o-uda-1.0': {'id': 'O-UDA-1.0', 'deprecated': False}, + 'oar': {'id': 'OAR', 'deprecated': False}, + 'occt-pl': {'id': 'OCCT-PL', 'deprecated': False}, + 'oclc-2.0': {'id': 'OCLC-2.0', 'deprecated': False}, + 'odbl-1.0': {'id': 'ODbL-1.0', 'deprecated': False}, + 'odc-by-1.0': {'id': 'ODC-By-1.0', 'deprecated': False}, + 'offis': {'id': 'OFFIS', 'deprecated': False}, + 'ofl-1.0': {'id': 'OFL-1.0', 'deprecated': False}, + 'ofl-1.0-no-rfn': {'id': 'OFL-1.0-no-RFN', 'deprecated': False}, + 'ofl-1.0-rfn': {'id': 'OFL-1.0-RFN', 'deprecated': False}, + 'ofl-1.1': {'id': 'OFL-1.1', 'deprecated': False}, + 'ofl-1.1-no-rfn': {'id': 'OFL-1.1-no-RFN', 'deprecated': False}, + 'ofl-1.1-rfn': {'id': 'OFL-1.1-RFN', 'deprecated': False}, + 'ogc-1.0': {'id': 'OGC-1.0', 'deprecated': False}, + 'ogdl-taiwan-1.0': {'id': 'OGDL-Taiwan-1.0', 'deprecated': False}, + 'ogl-canada-2.0': {'id': 'OGL-Canada-2.0', 'deprecated': False}, + 'ogl-uk-1.0': {'id': 'OGL-UK-1.0', 'deprecated': False}, + 'ogl-uk-2.0': {'id': 'OGL-UK-2.0', 'deprecated': False}, + 'ogl-uk-3.0': {'id': 'OGL-UK-3.0', 'deprecated': False}, + 'ogtsl': {'id': 'OGTSL', 'deprecated': False}, + 'oldap-1.1': {'id': 'OLDAP-1.1', 'deprecated': False}, + 'oldap-1.2': {'id': 'OLDAP-1.2', 'deprecated': False}, + 'oldap-1.3': {'id': 'OLDAP-1.3', 'deprecated': False}, + 'oldap-1.4': {'id': 'OLDAP-1.4', 'deprecated': False}, + 'oldap-2.0': {'id': 'OLDAP-2.0', 'deprecated': False}, + 'oldap-2.0.1': {'id': 'OLDAP-2.0.1', 'deprecated': False}, + 'oldap-2.1': {'id': 'OLDAP-2.1', 'deprecated': False}, + 'oldap-2.2': {'id': 'OLDAP-2.2', 'deprecated': False}, + 'oldap-2.2.1': {'id': 'OLDAP-2.2.1', 'deprecated': False}, + 'oldap-2.2.2': {'id': 'OLDAP-2.2.2', 'deprecated': False}, + 'oldap-2.3': {'id': 'OLDAP-2.3', 'deprecated': False}, + 'oldap-2.4': {'id': 'OLDAP-2.4', 'deprecated': False}, + 'oldap-2.5': {'id': 'OLDAP-2.5', 'deprecated': False}, + 'oldap-2.6': {'id': 'OLDAP-2.6', 'deprecated': False}, + 'oldap-2.7': {'id': 'OLDAP-2.7', 'deprecated': False}, + 'oldap-2.8': {'id': 'OLDAP-2.8', 'deprecated': False}, + 'olfl-1.3': {'id': 'OLFL-1.3', 'deprecated': False}, + 'oml': {'id': 'OML', 'deprecated': False}, + 'openpbs-2.3': {'id': 'OpenPBS-2.3', 'deprecated': False}, + 'openssl': {'id': 'OpenSSL', 'deprecated': False}, + 'openssl-standalone': {'id': 'OpenSSL-standalone', 'deprecated': False}, + 'openvision': {'id': 'OpenVision', 'deprecated': False}, + 'opl-1.0': {'id': 'OPL-1.0', 'deprecated': False}, + 'opl-uk-3.0': {'id': 'OPL-UK-3.0', 'deprecated': False}, + 'opubl-1.0': {'id': 'OPUBL-1.0', 'deprecated': False}, + 'oset-pl-2.1': {'id': 'OSET-PL-2.1', 'deprecated': False}, + 'osl-1.0': {'id': 'OSL-1.0', 'deprecated': False}, + 'osl-1.1': {'id': 'OSL-1.1', 'deprecated': False}, + 'osl-2.0': {'id': 'OSL-2.0', 'deprecated': False}, + 'osl-2.1': {'id': 'OSL-2.1', 'deprecated': False}, + 'osl-3.0': {'id': 'OSL-3.0', 'deprecated': False}, + 'padl': {'id': 'PADL', 'deprecated': False}, + 'parity-6.0.0': {'id': 'Parity-6.0.0', 'deprecated': False}, + 'parity-7.0.0': {'id': 'Parity-7.0.0', 'deprecated': False}, + 'pddl-1.0': {'id': 'PDDL-1.0', 'deprecated': False}, + 'php-3.0': {'id': 'PHP-3.0', 'deprecated': False}, + 'php-3.01': {'id': 'PHP-3.01', 'deprecated': False}, + 'pixar': {'id': 'Pixar', 'deprecated': False}, + 'pkgconf': {'id': 'pkgconf', 'deprecated': False}, + 'plexus': {'id': 'Plexus', 'deprecated': False}, + 'pnmstitch': {'id': 'pnmstitch', 'deprecated': False}, + 'polyform-noncommercial-1.0.0': {'id': 'PolyForm-Noncommercial-1.0.0', 'deprecated': False}, + 'polyform-small-business-1.0.0': {'id': 'PolyForm-Small-Business-1.0.0', 'deprecated': False}, + 'postgresql': {'id': 'PostgreSQL', 'deprecated': False}, + 'ppl': {'id': 'PPL', 'deprecated': False}, + 'psf-2.0': {'id': 'PSF-2.0', 'deprecated': False}, + 'psfrag': {'id': 'psfrag', 'deprecated': False}, + 'psutils': {'id': 'psutils', 'deprecated': False}, + 'python-2.0': {'id': 'Python-2.0', 'deprecated': False}, + 'python-2.0.1': {'id': 'Python-2.0.1', 'deprecated': False}, + 'python-ldap': {'id': 'python-ldap', 'deprecated': False}, + 'qhull': {'id': 'Qhull', 'deprecated': False}, + 'qpl-1.0': {'id': 'QPL-1.0', 'deprecated': False}, + 'qpl-1.0-inria-2004': {'id': 'QPL-1.0-INRIA-2004', 'deprecated': False}, + 'radvd': {'id': 'radvd', 'deprecated': False}, + 'rdisc': {'id': 'Rdisc', 'deprecated': False}, + 'rhecos-1.1': {'id': 'RHeCos-1.1', 'deprecated': False}, + 'rpl-1.1': {'id': 'RPL-1.1', 'deprecated': False}, + 'rpl-1.5': {'id': 'RPL-1.5', 'deprecated': False}, + 'rpsl-1.0': {'id': 'RPSL-1.0', 'deprecated': False}, + 'rsa-md': {'id': 'RSA-MD', 'deprecated': False}, + 'rscpl': {'id': 'RSCPL', 'deprecated': False}, + 'ruby': {'id': 'Ruby', 'deprecated': False}, + 'ruby-pty': {'id': 'Ruby-pty', 'deprecated': False}, + 'sax-pd': {'id': 'SAX-PD', 'deprecated': False}, + 'sax-pd-2.0': {'id': 'SAX-PD-2.0', 'deprecated': False}, + 'saxpath': {'id': 'Saxpath', 'deprecated': False}, + 'scea': {'id': 'SCEA', 'deprecated': False}, + 'schemereport': {'id': 'SchemeReport', 'deprecated': False}, + 'sendmail': {'id': 'Sendmail', 'deprecated': False}, + 'sendmail-8.23': {'id': 'Sendmail-8.23', 'deprecated': False}, + 'sendmail-open-source-1.1': {'id': 'Sendmail-Open-Source-1.1', 'deprecated': False}, + 'sgi-b-1.0': {'id': 'SGI-B-1.0', 'deprecated': False}, + 'sgi-b-1.1': {'id': 'SGI-B-1.1', 'deprecated': False}, + 'sgi-b-2.0': {'id': 'SGI-B-2.0', 'deprecated': False}, + 'sgi-opengl': {'id': 'SGI-OpenGL', 'deprecated': False}, + 'sgp4': {'id': 'SGP4', 'deprecated': False}, + 'shl-0.5': {'id': 'SHL-0.5', 'deprecated': False}, + 'shl-0.51': {'id': 'SHL-0.51', 'deprecated': False}, + 'simpl-2.0': {'id': 'SimPL-2.0', 'deprecated': False}, + 'sissl': {'id': 'SISSL', 'deprecated': False}, + 'sissl-1.2': {'id': 'SISSL-1.2', 'deprecated': False}, + 'sl': {'id': 'SL', 'deprecated': False}, + 'sleepycat': {'id': 'Sleepycat', 'deprecated': False}, + 'smail-gpl': {'id': 'SMAIL-GPL', 'deprecated': False}, + 'smlnj': {'id': 'SMLNJ', 'deprecated': False}, + 'smppl': {'id': 'SMPPL', 'deprecated': False}, + 'snia': {'id': 'SNIA', 'deprecated': False}, + 'snprintf': {'id': 'snprintf', 'deprecated': False}, + 'sofa': {'id': 'SOFA', 'deprecated': False}, + 'softsurfer': {'id': 'softSurfer', 'deprecated': False}, + 'soundex': {'id': 'Soundex', 'deprecated': False}, + 'spencer-86': {'id': 'Spencer-86', 'deprecated': False}, + 'spencer-94': {'id': 'Spencer-94', 'deprecated': False}, + 'spencer-99': {'id': 'Spencer-99', 'deprecated': False}, + 'spl-1.0': {'id': 'SPL-1.0', 'deprecated': False}, + 'ssh-keyscan': {'id': 'ssh-keyscan', 'deprecated': False}, + 'ssh-openssh': {'id': 'SSH-OpenSSH', 'deprecated': False}, + 'ssh-short': {'id': 'SSH-short', 'deprecated': False}, + 'ssleay-standalone': {'id': 'SSLeay-standalone', 'deprecated': False}, + 'sspl-1.0': {'id': 'SSPL-1.0', 'deprecated': False}, + 'standardml-nj': {'id': 'StandardML-NJ', 'deprecated': True}, + 'sugarcrm-1.1.3': {'id': 'SugarCRM-1.1.3', 'deprecated': False}, + 'sul-1.0': {'id': 'SUL-1.0', 'deprecated': False}, + 'sun-ppp': {'id': 'Sun-PPP', 'deprecated': False}, + 'sun-ppp-2000': {'id': 'Sun-PPP-2000', 'deprecated': False}, + 'sunpro': {'id': 'SunPro', 'deprecated': False}, + 'swl': {'id': 'SWL', 'deprecated': False}, + 'swrule': {'id': 'swrule', 'deprecated': False}, + 'symlinks': {'id': 'Symlinks', 'deprecated': False}, + 'tapr-ohl-1.0': {'id': 'TAPR-OHL-1.0', 'deprecated': False}, + 'tcl': {'id': 'TCL', 'deprecated': False}, + 'tcp-wrappers': {'id': 'TCP-wrappers', 'deprecated': False}, + 'termreadkey': {'id': 'TermReadKey', 'deprecated': False}, + 'tgppl-1.0': {'id': 'TGPPL-1.0', 'deprecated': False}, + 'thirdeye': {'id': 'ThirdEye', 'deprecated': False}, + 'threeparttable': {'id': 'threeparttable', 'deprecated': False}, + 'tmate': {'id': 'TMate', 'deprecated': False}, + 'torque-1.1': {'id': 'TORQUE-1.1', 'deprecated': False}, + 'tosl': {'id': 'TOSL', 'deprecated': False}, + 'tpdl': {'id': 'TPDL', 'deprecated': False}, + 'tpl-1.0': {'id': 'TPL-1.0', 'deprecated': False}, + 'trustedqsl': {'id': 'TrustedQSL', 'deprecated': False}, + 'ttwl': {'id': 'TTWL', 'deprecated': False}, + 'ttyp0': {'id': 'TTYP0', 'deprecated': False}, + 'tu-berlin-1.0': {'id': 'TU-Berlin-1.0', 'deprecated': False}, + 'tu-berlin-2.0': {'id': 'TU-Berlin-2.0', 'deprecated': False}, + 'ubuntu-font-1.0': {'id': 'Ubuntu-font-1.0', 'deprecated': False}, + 'ucar': {'id': 'UCAR', 'deprecated': False}, + 'ucl-1.0': {'id': 'UCL-1.0', 'deprecated': False}, + 'ulem': {'id': 'ulem', 'deprecated': False}, + 'umich-merit': {'id': 'UMich-Merit', 'deprecated': False}, + 'unicode-3.0': {'id': 'Unicode-3.0', 'deprecated': False}, + 'unicode-dfs-2015': {'id': 'Unicode-DFS-2015', 'deprecated': False}, + 'unicode-dfs-2016': {'id': 'Unicode-DFS-2016', 'deprecated': False}, + 'unicode-tou': {'id': 'Unicode-TOU', 'deprecated': False}, + 'unixcrypt': {'id': 'UnixCrypt', 'deprecated': False}, + 'unlicense': {'id': 'Unlicense', 'deprecated': False}, + 'unlicense-libtelnet': {'id': 'Unlicense-libtelnet', 'deprecated': False}, + 'unlicense-libwhirlpool': {'id': 'Unlicense-libwhirlpool', 'deprecated': False}, + 'upl-1.0': {'id': 'UPL-1.0', 'deprecated': False}, + 'urt-rle': {'id': 'URT-RLE', 'deprecated': False}, + 'vim': {'id': 'Vim', 'deprecated': False}, + 'vostrom': {'id': 'VOSTROM', 'deprecated': False}, + 'vsl-1.0': {'id': 'VSL-1.0', 'deprecated': False}, + 'w3c': {'id': 'W3C', 'deprecated': False}, + 'w3c-19980720': {'id': 'W3C-19980720', 'deprecated': False}, + 'w3c-20150513': {'id': 'W3C-20150513', 'deprecated': False}, + 'w3m': {'id': 'w3m', 'deprecated': False}, + 'watcom-1.0': {'id': 'Watcom-1.0', 'deprecated': False}, + 'widget-workshop': {'id': 'Widget-Workshop', 'deprecated': False}, + 'wsuipa': {'id': 'Wsuipa', 'deprecated': False}, + 'wtfpl': {'id': 'WTFPL', 'deprecated': False}, + 'wwl': {'id': 'wwl', 'deprecated': False}, + 'wxwindows': {'id': 'wxWindows', 'deprecated': True}, + 'x11': {'id': 'X11', 'deprecated': False}, + 'x11-distribute-modifications-variant': {'id': 'X11-distribute-modifications-variant', 'deprecated': False}, + 'x11-swapped': {'id': 'X11-swapped', 'deprecated': False}, + 'xdebug-1.03': {'id': 'Xdebug-1.03', 'deprecated': False}, + 'xerox': {'id': 'Xerox', 'deprecated': False}, + 'xfig': {'id': 'Xfig', 'deprecated': False}, + 'xfree86-1.1': {'id': 'XFree86-1.1', 'deprecated': False}, + 'xinetd': {'id': 'xinetd', 'deprecated': False}, + 'xkeyboard-config-zinoviev': {'id': 'xkeyboard-config-Zinoviev', 'deprecated': False}, + 'xlock': {'id': 'xlock', 'deprecated': False}, + 'xnet': {'id': 'Xnet', 'deprecated': False}, + 'xpp': {'id': 'xpp', 'deprecated': False}, + 'xskat': {'id': 'XSkat', 'deprecated': False}, + 'xzoom': {'id': 'xzoom', 'deprecated': False}, + 'ypl-1.0': {'id': 'YPL-1.0', 'deprecated': False}, + 'ypl-1.1': {'id': 'YPL-1.1', 'deprecated': False}, + 'zed': {'id': 'Zed', 'deprecated': False}, + 'zeeff': {'id': 'Zeeff', 'deprecated': False}, + 'zend-2.0': {'id': 'Zend-2.0', 'deprecated': False}, + 'zimbra-1.3': {'id': 'Zimbra-1.3', 'deprecated': False}, + 'zimbra-1.4': {'id': 'Zimbra-1.4', 'deprecated': False}, + 'zlib': {'id': 'Zlib', 'deprecated': False}, + 'zlib-acknowledgement': {'id': 'zlib-acknowledgement', 'deprecated': False}, + 'zpl-1.1': {'id': 'ZPL-1.1', 'deprecated': False}, + 'zpl-2.0': {'id': 'ZPL-2.0', 'deprecated': False}, + 'zpl-2.1': {'id': 'ZPL-2.1', 'deprecated': False}, +} + +EXCEPTIONS: dict[str, SPDXException] = { + '389-exception': {'id': '389-exception', 'deprecated': False}, + 'asterisk-exception': {'id': 'Asterisk-exception', 'deprecated': False}, + 'asterisk-linking-protocols-exception': {'id': 'Asterisk-linking-protocols-exception', 'deprecated': False}, + 'autoconf-exception-2.0': {'id': 'Autoconf-exception-2.0', 'deprecated': False}, + 'autoconf-exception-3.0': {'id': 'Autoconf-exception-3.0', 'deprecated': False}, + 'autoconf-exception-generic': {'id': 'Autoconf-exception-generic', 'deprecated': False}, + 'autoconf-exception-generic-3.0': {'id': 'Autoconf-exception-generic-3.0', 'deprecated': False}, + 'autoconf-exception-macro': {'id': 'Autoconf-exception-macro', 'deprecated': False}, + 'bison-exception-1.24': {'id': 'Bison-exception-1.24', 'deprecated': False}, + 'bison-exception-2.2': {'id': 'Bison-exception-2.2', 'deprecated': False}, + 'bootloader-exception': {'id': 'Bootloader-exception', 'deprecated': False}, + 'cgal-linking-exception': {'id': 'CGAL-linking-exception', 'deprecated': False}, + 'classpath-exception-2.0': {'id': 'Classpath-exception-2.0', 'deprecated': False}, + 'clisp-exception-2.0': {'id': 'CLISP-exception-2.0', 'deprecated': False}, + 'cryptsetup-openssl-exception': {'id': 'cryptsetup-OpenSSL-exception', 'deprecated': False}, + 'digia-qt-lgpl-exception-1.1': {'id': 'Digia-Qt-LGPL-exception-1.1', 'deprecated': False}, + 'digirule-foss-exception': {'id': 'DigiRule-FOSS-exception', 'deprecated': False}, + 'ecos-exception-2.0': {'id': 'eCos-exception-2.0', 'deprecated': False}, + 'erlang-otp-linking-exception': {'id': 'erlang-otp-linking-exception', 'deprecated': False}, + 'fawkes-runtime-exception': {'id': 'Fawkes-Runtime-exception', 'deprecated': False}, + 'fltk-exception': {'id': 'FLTK-exception', 'deprecated': False}, + 'fmt-exception': {'id': 'fmt-exception', 'deprecated': False}, + 'font-exception-2.0': {'id': 'Font-exception-2.0', 'deprecated': False}, + 'freertos-exception-2.0': {'id': 'freertos-exception-2.0', 'deprecated': False}, + 'gcc-exception-2.0': {'id': 'GCC-exception-2.0', 'deprecated': False}, + 'gcc-exception-2.0-note': {'id': 'GCC-exception-2.0-note', 'deprecated': False}, + 'gcc-exception-3.1': {'id': 'GCC-exception-3.1', 'deprecated': False}, + 'gmsh-exception': {'id': 'Gmsh-exception', 'deprecated': False}, + 'gnat-exception': {'id': 'GNAT-exception', 'deprecated': False}, + 'gnome-examples-exception': {'id': 'GNOME-examples-exception', 'deprecated': False}, + 'gnu-compiler-exception': {'id': 'GNU-compiler-exception', 'deprecated': False}, + 'gnu-javamail-exception': {'id': 'gnu-javamail-exception', 'deprecated': False}, + 'gpl-3.0-389-ds-base-exception': {'id': 'GPL-3.0-389-ds-base-exception', 'deprecated': False}, + 'gpl-3.0-interface-exception': {'id': 'GPL-3.0-interface-exception', 'deprecated': False}, + 'gpl-3.0-linking-exception': {'id': 'GPL-3.0-linking-exception', 'deprecated': False}, + 'gpl-3.0-linking-source-exception': {'id': 'GPL-3.0-linking-source-exception', 'deprecated': False}, + 'gpl-cc-1.0': {'id': 'GPL-CC-1.0', 'deprecated': False}, + 'gstreamer-exception-2005': {'id': 'GStreamer-exception-2005', 'deprecated': False}, + 'gstreamer-exception-2008': {'id': 'GStreamer-exception-2008', 'deprecated': False}, + 'harbour-exception': {'id': 'harbour-exception', 'deprecated': False}, + 'i2p-gpl-java-exception': {'id': 'i2p-gpl-java-exception', 'deprecated': False}, + 'independent-modules-exception': {'id': 'Independent-modules-exception', 'deprecated': False}, + 'kicad-libraries-exception': {'id': 'KiCad-libraries-exception', 'deprecated': False}, + 'lgpl-3.0-linking-exception': {'id': 'LGPL-3.0-linking-exception', 'deprecated': False}, + 'libpri-openh323-exception': {'id': 'libpri-OpenH323-exception', 'deprecated': False}, + 'libtool-exception': {'id': 'Libtool-exception', 'deprecated': False}, + 'linux-syscall-note': {'id': 'Linux-syscall-note', 'deprecated': False}, + 'llgpl': {'id': 'LLGPL', 'deprecated': False}, + 'llvm-exception': {'id': 'LLVM-exception', 'deprecated': False}, + 'lzma-exception': {'id': 'LZMA-exception', 'deprecated': False}, + 'mif-exception': {'id': 'mif-exception', 'deprecated': False}, + 'mxml-exception': {'id': 'mxml-exception', 'deprecated': False}, + 'nokia-qt-exception-1.1': {'id': 'Nokia-Qt-exception-1.1', 'deprecated': True}, + 'ocaml-lgpl-linking-exception': {'id': 'OCaml-LGPL-linking-exception', 'deprecated': False}, + 'occt-exception-1.0': {'id': 'OCCT-exception-1.0', 'deprecated': False}, + 'openjdk-assembly-exception-1.0': {'id': 'OpenJDK-assembly-exception-1.0', 'deprecated': False}, + 'openvpn-openssl-exception': {'id': 'openvpn-openssl-exception', 'deprecated': False}, + 'pcre2-exception': {'id': 'PCRE2-exception', 'deprecated': False}, + 'polyparse-exception': {'id': 'polyparse-exception', 'deprecated': False}, + 'ps-or-pdf-font-exception-20170817': {'id': 'PS-or-PDF-font-exception-20170817', 'deprecated': False}, + 'qpl-1.0-inria-2004-exception': {'id': 'QPL-1.0-INRIA-2004-exception', 'deprecated': False}, + 'qt-gpl-exception-1.0': {'id': 'Qt-GPL-exception-1.0', 'deprecated': False}, + 'qt-lgpl-exception-1.1': {'id': 'Qt-LGPL-exception-1.1', 'deprecated': False}, + 'qwt-exception-1.0': {'id': 'Qwt-exception-1.0', 'deprecated': False}, + 'romic-exception': {'id': 'romic-exception', 'deprecated': False}, + 'rrdtool-floss-exception-2.0': {'id': 'RRDtool-FLOSS-exception-2.0', 'deprecated': False}, + 'sane-exception': {'id': 'SANE-exception', 'deprecated': False}, + 'shl-2.0': {'id': 'SHL-2.0', 'deprecated': False}, + 'shl-2.1': {'id': 'SHL-2.1', 'deprecated': False}, + 'stunnel-exception': {'id': 'stunnel-exception', 'deprecated': False}, + 'swi-exception': {'id': 'SWI-exception', 'deprecated': False}, + 'swift-exception': {'id': 'Swift-exception', 'deprecated': False}, + 'texinfo-exception': {'id': 'Texinfo-exception', 'deprecated': False}, + 'u-boot-exception-2.0': {'id': 'u-boot-exception-2.0', 'deprecated': False}, + 'ubdl-exception': {'id': 'UBDL-exception', 'deprecated': False}, + 'universal-foss-exception-1.0': {'id': 'Universal-FOSS-exception-1.0', 'deprecated': False}, + 'vsftpd-openssl-exception': {'id': 'vsftpd-openssl-exception', 'deprecated': False}, + 'wxwindows-exception-3.1': {'id': 'WxWindows-exception-3.1', 'deprecated': False}, + 'x11vnc-openssl-exception': {'id': 'x11vnc-openssl-exception', 'deprecated': False}, +} diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/markers.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/markers.py new file mode 100644 index 0000000000000000000000000000000000000000..51b60364603fe03e80e61c03cda07964fa474e76 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/markers.py @@ -0,0 +1,576 @@ +# This file is dual licensed under the terms of the Apache License, Version +# 2.0, and the BSD License. See the LICENSE file in the root of this repository +# for complete details. + +from __future__ import annotations + +import functools +import operator +import os +import platform +import sys +from collections.abc import Set as AbstractSet +from typing import TYPE_CHECKING, Callable, Literal, TypedDict, Union, cast + +from ._parser import MarkerAtom, MarkerList, Op, Value, Variable +from ._parser import parse_marker as _parse_marker +from ._tokenizer import ParserSyntaxError +from .specifiers import InvalidSpecifier, Specifier +from .utils import canonicalize_name + +if TYPE_CHECKING: + from collections.abc import Mapping + +__all__ = [ + "Environment", + "EvaluateContext", + "InvalidMarker", + "Marker", + "UndefinedComparison", + "UndefinedEnvironmentName", + "default_environment", +] + + +def __dir__() -> list[str]: + return __all__ + + +Operator = Callable[[str, Union[str, AbstractSet[str]]], bool] +EvaluateContext = Literal["metadata", "lock_file", "requirement"] +"""A ``typing.Literal`` enumerating valid marker evaluation contexts. + +Valid values for the ``context`` passed to :meth:`Marker.evaluate` are: + +* ``"metadata"`` (for core metadata; default) +* ``"lock_file"`` (for lock files) +* ``"requirement"`` (i.e. all other situations) + +.. versionadded:: 25.0 +""" + +MARKERS_ALLOWING_SET = {"extras", "dependency_groups"} +MARKERS_REQUIRING_VERSION = { + "implementation_version", + "platform_release", + "python_full_version", + "python_version", +} + + +class InvalidMarker(ValueError): + """Raised when attempting to create a :class:`Marker` from invalid input. + + This error indicates that the given marker string does not conform to the + :ref:`specification of dependency specifiers `. + """ + + +class UndefinedComparison(ValueError): + """Raised when evaluating an unsupported marker comparison. + + This can happen when marker values are compared as versions but do not + conform to the :ref:`specification of version specifiers + `. + """ + + +class UndefinedEnvironmentName(KeyError): + """Raised when evaluating a marker that references a missing environment key. + + Subclasses :class:`KeyError` so that code catching the bare ``KeyError`` that + a missing environment lookup historically produced keeps working. + + .. versionchanged:: 26.3 + Now subclasses :class:`KeyError` (was :class:`ValueError`) and is raised by + :meth:`Marker.evaluate` for missing environment keys, where a bare + ``KeyError`` was raised before. + """ + + +class Environment(TypedDict): + """ + A dictionary that represents a Python environment as captured by + :func:`default_environment`. All fields are required. + """ + + implementation_name: str + """The implementation's identifier, e.g. ``'cpython'``.""" + + implementation_version: str + """ + The implementation's version, e.g. ``'3.13.0a2'`` for CPython 3.13.0a2, or + ``'7.3.13'`` for PyPy3.10 v7.3.13. + """ + + os_name: str + """ + The value of :py:data:`os.name`. The name of the operating system dependent module + imported, e.g. ``'posix'``. + """ + + platform_machine: str + """ + Returns the machine type, e.g. ``'i386'``. + + An empty string if the value cannot be determined. + """ + + platform_release: str + """ + The system's release, e.g. ``'2.2.0'`` or ``'NT'``. + + An empty string if the value cannot be determined. + """ + + platform_system: str + """ + The system/OS name, e.g. ``'Linux'``, ``'Windows'`` or ``'Java'``. + + An empty string if the value cannot be determined. + """ + + platform_version: str + """ + The system's release version, e.g. ``'#3 on degas'``. + + An empty string if the value cannot be determined. + """ + + python_full_version: str + """ + The Python version as string ``'major.minor.patchlevel'``. + + Note that unlike the Python :py:data:`sys.version`, this value will always include + the patchlevel (it defaults to 0). + """ + + platform_python_implementation: str + """ + A string identifying the Python implementation, e.g. ``'CPython'``. + """ + + python_version: str + """The Python version as string ``'major.minor'``.""" + + sys_platform: str + """ + This string contains a platform identifier that can be used to append + platform-specific components to :py:data:`sys.path`, for instance. + + For Unix systems, except on Linux and AIX, this is the lowercased OS name as + returned by ``uname -s`` with the first part of the version as returned by + ``uname -r`` appended, e.g. ``'sunos5'`` or ``'freebsd8'``, at the time when Python + was built. + """ + + +def _normalize_extras( + result: MarkerList | MarkerAtom | str, +) -> MarkerList | MarkerAtom | str: + if isinstance(result, list): + return [_normalize_extras(r) for r in result] + if not isinstance(result, tuple): + return result + + lhs, op, rhs = result + if isinstance(lhs, Variable) and lhs.value == "extra" and isinstance(rhs, Value): + normalized_extra = canonicalize_name(rhs.value) + rhs = Value(normalized_extra) + elif isinstance(rhs, Variable) and rhs.value == "extra" and isinstance(lhs, Value): + normalized_extra = canonicalize_name(lhs.value) + lhs = Value(normalized_extra) + elif ( + isinstance(rhs, Variable) + and rhs.value in MARKERS_ALLOWING_SET + and isinstance(lhs, Value) + ): + # PEP 685 (extras) / PEP 735 (dependency_groups): the set-valued membership + # literal must also be normalized. evaluate() already canonicalizes both + # operands for these keys (see _normalize), so normalizing the literal at + # parse time keeps __str__/__eq__/__hash__ consistent with evaluate() -- e.g. + # Marker('"Foo" in extras') and Marker('"foo" in extras') must compare and + # hash equal (the membership variable is always the right-hand operand). + lhs = Value(canonicalize_name(lhs.value)) + return lhs, op, rhs + + +def _normalize_extra_values(results: MarkerList) -> MarkerList: + """ + Normalize extra values. + """ + + return [_normalize_extras(r) for r in results] + + +def _format_marker( + marker: list[str] | MarkerAtom | str, first: bool | None = True +) -> str: + assert isinstance(marker, (list, tuple, str)) + + # Unwrap a redundant [[...]] wrapper, but keep the nesting context so a + # nested group keeps the parentheses its and/or precedence needs. + if ( + isinstance(marker, list) + and len(marker) == 1 + and isinstance(marker[0], (list, tuple)) + ): + return _format_marker(marker[0], first=first) + + if isinstance(marker, list): + inner = (_format_marker(m, first=False) for m in marker) + if first: + return " ".join(inner) + else: + return "(" + " ".join(inner) + ")" + elif isinstance(marker, tuple): + return " ".join([m.serialize() for m in marker]) + else: + return marker + + +_operators: dict[str, Operator] = { + "in": lambda lhs, rhs: lhs in rhs, + "not in": lambda lhs, rhs: lhs not in rhs, + "<": lambda _lhs, _rhs: False, + "<=": operator.eq, + "==": operator.eq, + "!=": operator.ne, + ">=": operator.eq, + ">": lambda _lhs, _rhs: False, +} + + +def _eval_op(lhs: str, op: Op, rhs: str | AbstractSet[str], *, key: str) -> bool: + op_str = op.serialize() + if key in MARKERS_REQUIRING_VERSION: + try: + spec = Specifier(f"{op_str}{rhs}") + except InvalidSpecifier: + pass + else: + return spec.contains(lhs, prereleases=True) + + oper: Operator | None = _operators.get(op_str) + if oper is None: + raise UndefinedComparison(f"Undefined {op!r} on {lhs!r} and {rhs!r}.") + + return oper(lhs, rhs) + + +def _normalize( + lhs: str, rhs: str | AbstractSet[str], key: str +) -> tuple[str, str | AbstractSet[str]]: + # PEP 685 - Comparison of extra names for optional distribution dependencies + # https://peps.python.org/pep-0685/ + # > When comparing extra names, tools MUST normalize the names being + # > compared using the semantics outlined in PEP 503 for names + if key == "extra": + assert isinstance(rhs, str), "extra value must be a string" + # Both sides are normalized at this point already + return (lhs, rhs) + if key in MARKERS_ALLOWING_SET: + if isinstance(rhs, str): # pragma: no cover + return (canonicalize_name(lhs), canonicalize_name(rhs)) + else: + return (canonicalize_name(lhs), {canonicalize_name(v) for v in rhs}) + + # other environment markers don't have such standards + return lhs, rhs + + +def _lookup_environment( + environment: dict[str, str | AbstractSet[str]], key: str +) -> str | AbstractSet[str]: + try: + return environment[key] + except KeyError: + raise UndefinedEnvironmentName(key) from None + + +def _evaluate_markers( + markers: MarkerList, environment: dict[str, str | AbstractSet[str]] +) -> bool: + groups: list[list[bool]] = [[]] + + for marker in markers: + if isinstance(marker, list): + groups[-1].append(_evaluate_markers(marker, environment)) + elif isinstance(marker, tuple): + lhs, op, rhs = marker + + if isinstance(lhs, Variable): + environment_key = lhs.value + lhs_value = _lookup_environment(environment, environment_key) + rhs_value = rhs.value + else: + lhs_value = lhs.value + environment_key = rhs.value + rhs_value = _lookup_environment(environment, environment_key) + + if not isinstance(lhs_value, str): + raise UndefinedComparison( + f"Set-valued marker {environment_key!r} can only be used " + f'with the membership form (e.g. "" in ' + f"{environment_key}); it cannot appear on the left-hand " + f"side of {op.serialize()!r}." + ) + lhs_value, rhs_value = _normalize(lhs_value, rhs_value, key=environment_key) + groups[-1].append(_eval_op(lhs_value, op, rhs_value, key=environment_key)) + elif marker == "or": + groups.append([]) + elif marker == "and": + pass + else: # pragma: nocover + raise TypeError(f"Unexpected marker {marker!r}") + + return any(all(item) for item in groups) + + +def _format_full_version(info: sys._version_info) -> str: + version = f"{info.major}.{info.minor}.{info.micro}" + kind = info.releaselevel + if kind != "final": + version += kind[0] + str(info.serial) + return version + + +@functools.cache +def _cached_default_environment() -> Environment: + """Build the default marker environment for the current Python process. + + The values are derived from process-constant data (the running interpreter + and the host platform), so this is cached and built only once. The result is + shared between callers and must never be mutated; :func:`default_environment` + returns a fresh copy. + """ + iver = _format_full_version(sys.implementation.version) + implementation_name = sys.implementation.name + return { + "implementation_name": implementation_name, + "implementation_version": iver, + "os_name": os.name, + "platform_machine": platform.machine(), + "platform_release": platform.release(), + "platform_system": platform.system(), + "platform_version": platform.version(), + "python_full_version": platform.python_version(), + "platform_python_implementation": platform.python_implementation(), + "python_version": ".".join(platform.python_version_tuple()[:2]), + "sys_platform": sys.platform, + } + + +def default_environment() -> Environment: + """Return the default marker environment for the current Python process. + + This is the base environment used by :meth:`Marker.evaluate`. A fresh copy + is returned on every call so callers may freely mutate the result; a shallow + copy suffices because all values are immutable strings. + + .. versionchanged:: 26.3 + The environment is computed once per process and cached, since it is + derived from process-constant data. Patching ``platform``/``sys``/``os`` + after the first call has no effect; pass an explicit ``environment`` to + :meth:`Marker.evaluate` to evaluate against different values. + """ + return cast("Environment", dict(_cached_default_environment())) + + +class Marker: + """Represents a parsed dependency marker expression. + + Marker expressions are parsed according to the + :ref:`specification of dependency specifiers `. + + :param marker: The string representation of a marker expression. + :raises InvalidMarker: If ``marker`` cannot be parsed. + + Instances are safe to serialize with :mod:`pickle`. They use a stable + format so the same pickle can be loaded in future packaging releases. + + .. versionchanged:: 26.2 + + Added a stable pickle format. Pickles created with packaging 26.2+ can + be unpickled with future releases. Backward compatibility with pickles + from packaging < 26.2 is supported but may be removed in a future + release. + """ + + __slots__ = ("_markers",) + + def __init__(self, marker: str) -> None: + # Note: We create a Marker object without calling this constructor in + # packaging.requirements.Requirement. If any additional logic is + # added here, make sure to mirror/adapt Requirement. + + # If this fails and throws an error, the repr still expects _markers to + # be defined. + self._markers: MarkerList = [] + + try: + self._markers = _normalize_extra_values(_parse_marker(marker)) + # The attribute `_markers` can be described in terms of a recursive type: + # MarkerList = List[Union[Tuple[Node, ...], str, MarkerList]] + # + # For example, the following expression: + # python_version > "3.6" or (python_version == "3.6" and os_name == "unix") + # + # is parsed into: + # [ + # (, ')>, ), + # 'and', + # [ + # (, , ), + # 'or', + # (, , ) + # ] + # ] + except ParserSyntaxError as e: + raise InvalidMarker(str(e)) from e + + @classmethod + def _from_markers(cls, markers: MarkerList) -> Marker: + """Create a Marker instance from a pre-parsed marker tree. + + This avoids re-parsing serialised marker strings when combining markers. + """ + new = cls.__new__(cls) + new._markers = markers + return new + + def __str__(self) -> str: + return _format_marker(self._markers) + + def __repr__(self) -> str: + return f"<{self.__class__.__name__}({str(self)!r})>" + + def __hash__(self) -> int: + return hash(str(self)) + + def __eq__(self, other: object) -> bool: + if not isinstance(other, Marker): + return NotImplemented + + return str(self) == str(other) + + def __getstate__(self) -> str: + # Return the marker expression string for compactness and stability. + # Internal Node objects are excluded; the string is re-parsed on load. + return str(self) + + def __setstate__(self, state: object) -> None: + if isinstance(state, str): + # New format (26.2+): just the marker expression string. + try: + self._markers = _normalize_extra_values(_parse_marker(state)) + except ParserSyntaxError as exc: + raise TypeError(f"Cannot restore Marker from {state!r}") from exc + return + if isinstance(state, dict) and "_markers" in state: + # Old format (packaging <= 26.1, no __slots__): plain __dict__. + markers = state["_markers"] + if isinstance(markers, list): + self._markers = markers + return + if isinstance(state, tuple) and len(state) == 2: + # Old format (packaging <= 26.1, __slots__): (None, {slot: value}). + _, slot_dict = state + if isinstance(slot_dict, dict) and "_markers" in slot_dict: + markers = slot_dict["_markers"] + if isinstance(markers, list): + self._markers = markers + return + raise TypeError(f"Cannot restore Marker from {state!r}") + + def __and__(self, other: Marker) -> Marker: + """Combine this marker with another using ``and``. + + .. versionadded:: 26.1 + """ + if not isinstance(other, Marker): + return NotImplemented + return self._from_markers([self._markers, "and", other._markers]) + + def __or__(self, other: Marker) -> Marker: + """Combine this marker with another using ``or``. + + .. versionadded:: 26.1 + """ + if not isinstance(other, Marker): + return NotImplemented + return self._from_markers([self._markers, "or", other._markers]) + + def evaluate( + self, + environment: Mapping[str, str | AbstractSet[str]] | None = None, + context: EvaluateContext = "metadata", + ) -> bool: + """Evaluate a marker. + + Return the boolean from evaluating this marker against the environment. + The environment is determined from the current Python process unless + passed in explicitly. + + :param environment: Mapping containing keys and values to override the + detected environment. + :param EvaluateContext context: The context in which the marker is + evaluated, which influences what marker names are considered valid. + Accepted values are ``"metadata"`` (for core metadata; default), + ``"lock_file"``, and ``"requirement"`` (i.e. all other situations). + :raises UndefinedComparison: If the marker uses a comparison on values + that are not valid versions per the :ref:`specification of version + specifiers `. + :raises UndefinedEnvironmentName: If the marker references a value that + is missing from the evaluation environment. + :returns: ``True`` if the marker matches, otherwise ``False``. + + .. versionchanged:: 25.0 + Added the ``context`` parameter, which influences which marker names + are considered valid. + """ + current_environment = cast( + "dict[str, str | AbstractSet[str]]", default_environment() + ) + if context == "lock_file": + current_environment |= { + "extras": frozenset(), + "dependency_groups": frozenset(), + } + elif context == "metadata": + current_environment["extra"] = "" + + if environment is not None: + current_environment |= environment + if "extra" in current_environment: + # The API used to allow setting extra to None. We need to handle + # this case for backwards compatibility. Also skip running + # normalize name if extra is empty. + extra = cast("str | None", current_environment["extra"]) + current_environment["extra"] = canonicalize_name(extra) if extra else "" + + return _evaluate_markers( + self._markers, _repair_python_full_version(current_environment) + ) + + +def _pep440_python_full_version(python_full_version: str) -> str: + """ + Work around platform.python_version() returning something that is not PEP 440 + compliant for non-tagged Python builds. + """ + if python_full_version.endswith("+"): + return f"{python_full_version}local" + return python_full_version + + +def _repair_python_full_version( + env: dict[str, str | AbstractSet[str]], +) -> dict[str, str | AbstractSet[str]]: + """ + Work around platform.python_version() returning something that is not PEP 440 + compliant for non-tagged Python builds. + """ + python_full_version = cast("str", env["python_full_version"]) + env["python_full_version"] = _pep440_python_full_version(python_full_version) + return env diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/metadata.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/metadata.py new file mode 100644 index 0000000000000000000000000000000000000000..106110500510483721d3eb92760ddfc6f3e869a0 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/metadata.py @@ -0,0 +1,1054 @@ +from __future__ import annotations + +import email.header +import email.message +import email.parser +import email.policy +import keyword +import pathlib +import re +import typing +from typing import ( + Any, + Callable, + Generic, + Literal, + TypedDict, + cast, +) + +from . import licenses, requirements, specifiers, utils +from . import version as version_module +from .errors import ExceptionGroup, _ErrorCollector + +if typing.TYPE_CHECKING: + from .licenses import NormalizedLicenseExpression + from .version import Version + +T = typing.TypeVar("T") + + +__all__ = [ + "ExceptionGroup", # Keep this for a bit (makes mypy happy w/ 26.0 compat) + "InvalidMetadata", + "Metadata", + "RFC822Message", + "RFC822Policy", + "RawMetadata", + "parse_email", +] + + +def __dir__() -> list[str]: + return __all__ + + +class InvalidMetadata(ValueError): + """A metadata field contains invalid data. + + .. versionadded:: 23.2 + """ + + field: str + """The name of the field that contains invalid data.""" + + def __init__(self, field: str, message: str) -> None: + self.field = field + super().__init__(message) + + # Support pickling; ``args`` does not match ``__init__``'s signature. + def __reduce__(self) -> tuple[type[InvalidMetadata], tuple[str, str]]: + return (self.__class__, (self.field, self.args[0])) + + +# The RawMetadata class attempts to make as few assumptions about the underlying +# serialization formats as possible. The idea is that as long as a serialization +# formats offer some very basic primitives in *some* way then we can support +# serializing to and from that format. +class RawMetadata(TypedDict, total=False): + """A dictionary of raw core metadata. + + Each field in core metadata maps to a key of this dictionary (when data is + provided). The key is lower-case and underscores are used instead of dashes + compared to the equivalent core metadata field. Any core metadata field that + can be specified multiple times or can hold multiple values in a single + field have a key with a plural name. See :class:`Metadata` whose attributes + match the keys of this dictionary. + + Core metadata fields that can be specified multiple times are stored as a + list or dict depending on which is appropriate for the field. Any fields + which hold multiple values in a single field are stored as a list. All fields + are considered optional. + """ + + # Metadata 1.0 - PEP 241 + metadata_version: str + name: str + version: str + platforms: list[str] + summary: str + description: str + keywords: list[str] + home_page: str + author: str + author_email: str + license: str + + # Metadata 1.1 - PEP 314 + supported_platforms: list[str] + download_url: str + classifiers: list[str] + requires: list[str] + provides: list[str] + obsoletes: list[str] + + # Metadata 1.2 - PEP 345 + maintainer: str + maintainer_email: str + requires_dist: list[str] + provides_dist: list[str] + obsoletes_dist: list[str] + requires_python: str + requires_external: list[str] + project_urls: dict[str, str] + + # Metadata 2.0 + # PEP 426 attempted to completely revamp the metadata format + # but got stuck without ever being able to build consensus on + # it and ultimately ended up withdrawn. + # + # However, a number of tools had started emitting METADATA with + # `2.0` Metadata-Version, so for historical reasons, this version + # was skipped. + + # Metadata 2.1 - PEP 566 + description_content_type: str + provides_extra: list[str] + + # Metadata 2.2 - PEP 643 + dynamic: list[str] + + # Metadata 2.3 - PEP 685 + # No new fields were added in PEP 685, just some edge case were + # tightened up to provide better interoperability. + + # Metadata 2.4 - PEP 639 + license_expression: str + """.. versionadded:: 24.2""" + license_files: list[str] + """.. versionadded:: 24.2""" + + # Metadata 2.5 - PEP 794 + import_names: list[str] + """.. versionadded:: 26.0""" + import_namespaces: list[str] + """.. versionadded:: 26.0""" + + # Metadata 2.6 - PEP 808 (no new fields, behavior change for Dynamic) + + +# 'keywords' is special as it's a string in the core metadata spec, but we +# represent it as a list. +_STRING_FIELDS = { + "author", + "author_email", + "description", + "description_content_type", + "download_url", + "home_page", + "license", + "license_expression", + "maintainer", + "maintainer_email", + "metadata_version", + "name", + "requires_python", + "summary", + "version", +} + +_LIST_FIELDS = { + "classifiers", + "dynamic", + "license_files", + "obsoletes", + "obsoletes_dist", + "platforms", + "provides", + "provides_dist", + "provides_extra", + "requires", + "requires_dist", + "requires_external", + "supported_platforms", + "import_names", + "import_namespaces", +} + +_DICT_FIELDS = { + "project_urls", +} + + +def _parse_keywords(data: str) -> list[str]: + """Split a string of comma-separated keywords into a list of keywords.""" + return [k.strip() for k in data.split(",")] + + +def _parse_project_urls(data: list[str]) -> dict[str, str]: + """Parse a list of label/URL string pairings separated by a comma.""" + urls = {} + for pair in data: + # Our logic is slightly tricky here as we want to try and do + # *something* reasonable with malformed data. + # + # The main thing that we have to worry about, is data that does + # not have a ',' at all to split the label from the Value. There + # isn't a singular right answer here, and we will fail validation + # later on (if the caller is validating) so it doesn't *really* + # matter, but since the missing value has to be an empty str + # and our return value is dict[str, str], if we let the key + # be the missing value, then they'd have multiple '' values that + # overwrite each other in a accumulating dict. + # + # The other potential issue is that it's possible to have the + # same label multiple times in the metadata, with no solid "right" + # answer with what to do in that case. As such, we'll do the only + # thing we can, which is treat the field as unparsable and add it + # to our list of unparsed fields. + # + # TODO: The spec doesn't say anything about if the keys should be + # considered case sensitive or not... logically they should + # be case-preserving and case-insensitive, but doing that + # would open up more cases where we might have duplicate + # entries. + label, _, url = (s.strip() for s in pair.partition(",")) + + if label in urls: + # The label already exists in our set of urls, so this field + # is unparsable, and we can just add the whole thing to our + # unparsable data and stop processing it. + raise KeyError("duplicate labels in project urls") + urls[label] = url + + return urls + + +def _get_payload(msg: email.message.Message, source: bytes | str) -> str: + """Get the body of the message.""" + # If our source is a str, then our caller has managed encodings for us, + # and we don't need to deal with it. + if isinstance(source, str): + payload = msg.get_payload() + # A multipart payload makes get_payload() return a list of messages + # rather than a str; route it to ``unparsed``. + if not isinstance(payload, str): + raise ValueError("payload is not a string") # noqa: TRY004 + return payload + # If our source is a bytes, then we're managing the encoding and we need + # to deal with it. + else: + bpayload = msg.get_payload(decode=True) + # A multipart payload makes get_payload(decode=True) return None; + # route it to ``unparsed``. + if not isinstance(bpayload, bytes): + raise ValueError("payload in an invalid encoding") # noqa: TRY004 + try: + return bpayload.decode("utf8", "strict") + except UnicodeDecodeError as exc: + raise ValueError("payload in an invalid encoding") from exc + + +# The various parse_FORMAT functions here are intended to be as lenient as +# possible in their parsing, while still returning a correctly typed +# RawMetadata. +# +# To aid in this, we also generally want to do as little touching of the +# data as possible, except where there are possibly some historic holdovers +# that make valid data awkward to work with. +# +# While this is a lower level, intermediate format than our ``Metadata`` +# class, some light touch ups can make a massive difference in usability. + +# Map METADATA fields to RawMetadata. +_EMAIL_TO_RAW_MAPPING = { + "author": "author", + "author-email": "author_email", + "classifier": "classifiers", + "description": "description", + "description-content-type": "description_content_type", + "download-url": "download_url", + "dynamic": "dynamic", + "home-page": "home_page", + "import-name": "import_names", + "import-namespace": "import_namespaces", + "keywords": "keywords", + "license": "license", + "license-expression": "license_expression", + "license-file": "license_files", + "maintainer": "maintainer", + "maintainer-email": "maintainer_email", + "metadata-version": "metadata_version", + "name": "name", + "obsoletes": "obsoletes", + "obsoletes-dist": "obsoletes_dist", + "platform": "platforms", + "project-url": "project_urls", + "provides": "provides", + "provides-dist": "provides_dist", + "provides-extra": "provides_extra", + "requires": "requires", + "requires-dist": "requires_dist", + "requires-external": "requires_external", + "requires-python": "requires_python", + "summary": "summary", + "supported-platform": "supported_platforms", + "version": "version", +} +_RAW_TO_EMAIL_MAPPING = {raw: email for email, raw in _EMAIL_TO_RAW_MAPPING.items()} + + +# A bare "\r" makes the email generator raise ``HeaderWriteError``, and on +# CPython releases without the CVE-2024-6923 fix any ``str.splitlines`` +# boundary ends the header line, so fold all of them, not just "\n". +_LINE_BOUNDARY_RE = re.compile(r"\r\n|[\n\r\v\f\x1c\x1d\x1e\x85\u2028\u2029]") + + +# This class is for writing RFC822 messages +class RFC822Policy(email.policy.EmailPolicy): + """ + This is :class:`email.policy.EmailPolicy`, but with a simple ``header_store_parse`` + implementation that handles multi-line values, and some nice defaults. + + .. versionadded:: 26.0 + """ + + utf8 = True + mangle_from_ = False + max_line_length = 0 + + def header_store_parse(self, name: str, value: str) -> tuple[str, str]: + size = len(name) + 2 + value = _LINE_BOUNDARY_RE.sub("\n" + " " * size, value) + return (name, value) + + +# This class is for writing RFC822 messages +class RFC822Message(email.message.EmailMessage): + """ + This is :class:`email.message.EmailMessage` with two small changes: it defaults to + our `RFC822Policy`, and it correctly writes unicode when being called + with `bytes()`. + + .. versionadded:: 26.0 + """ + + def __init__(self) -> None: + super().__init__(policy=RFC822Policy()) + + def as_bytes( + self, unixfrom: bool = False, policy: email.policy.Policy | None = None + ) -> bytes: + """ + Return the bytes representation of the message. + + This handles unicode encoding. + """ + return self.as_string(unixfrom, policy=policy).encode("utf-8") + + +def parse_email(data: bytes | str) -> tuple[RawMetadata, dict[str, list[str]]]: + """Parse a distribution's metadata stored as email headers (e.g. from ``METADATA``). + + This function returns a two-item tuple of dicts. The first dict is of + recognized fields from the core metadata specification. Fields that can be + parsed and translated into Python's built-in types are converted + appropriately. All other fields are left as-is. Fields that are allowed to + appear multiple times are stored as lists. + + The second dict contains all other fields from the metadata. This includes + any unrecognized fields. It also includes any fields which are expected to + be parsed into a built-in type but were not formatted appropriately. Finally, + any fields that are expected to appear only once but are repeated are + included in this dict. + + """ + raw: dict[str, str | list[str] | dict[str, str]] = {} + unparsed: dict[str, list[str]] = {} + + if isinstance(data, str): + parsed = email.parser.Parser(policy=email.policy.compat32).parsestr(data) + else: + parsed = email.parser.BytesParser(policy=email.policy.compat32).parsebytes(data) + + # We have to wrap parsed.keys() in a set, because in the case of multiple + # values for a key (a list), the key will appear multiple times in the + # list of keys, but we're avoiding that by using get_all(). + for name_with_case in frozenset(parsed.keys()): + # Header names in RFC are case insensitive, so we'll normalize to all + # lower case to make comparisons easier. + name = name_with_case.lower() + + # We use get_all() here, even for fields that aren't multiple use, + # because otherwise someone could have e.g. two Name fields, and we + # would just silently ignore it rather than doing something about it. + headers = parsed.get_all(name) or [] + + # The way the email module works when parsing bytes is that it + # unconditionally decodes the bytes as ascii using the surrogateescape + # handler. When you pull that data back out (such as with get_all() ), + # it looks to see if the str has any surrogate escapes, and if it does + # it wraps it in a Header object instead of returning the string. + # + # As such, we'll look for those Header objects, and fix up the encoding. + value = [] + # Flag if we have run into any issues processing the headers, thus + # signalling that the data belongs in 'unparsed'. + valid_encoding = True + for h in headers: + # It's unclear if this can return more types than just a Header or + # a str, so we'll just assert here to make sure. + assert isinstance(h, (email.header.Header, str)) + + # If it's a header object, we need to do our little dance to get + # the real data out of it. In cases where there is invalid data + # we're going to end up with mojibake, but there's no obvious, good + # way around that without reimplementing parts of the Header object + # ourselves. + # + # That should be fine since, if mojibacked happens, this key is + # going into the unparsed dict anyways. + if isinstance(h, email.header.Header): + # The Header object stores it's data as chunks, and each chunk + # can be independently encoded, so we'll need to check each + # of them. + chunks: list[tuple[bytes, str | None]] = [] + for binary, _encoding in email.header.decode_header(h): + try: + binary.decode("utf8", "strict") + except UnicodeDecodeError: + # Enable mojibake. + encoding = "latin1" + valid_encoding = False + else: + encoding = "utf8" + chunks.append((binary, encoding)) + + # Turn our chunks back into a Header object, then let that + # Header object do the right thing to turn them into a + # string for us. + value.append(str(email.header.make_header(chunks))) + # This is already a string, so just add it. + else: + value.append(h) + + # We've processed all of our values to get them into a list of str, + # but we may have mojibake data, in which case this is an unparsed + # field. + if not valid_encoding: + unparsed[name] = value + continue + + raw_name = _EMAIL_TO_RAW_MAPPING.get(name) + if raw_name is None: + # This is a bit of a weird situation, we've encountered a key that + # we don't know what it means, so we don't know whether it's meant + # to be a list or not. + # + # Since we can't really tell one way or another, we'll just leave it + # as a list, even though it may be a single item list, because that's + # what makes the most sense for email headers. + unparsed[name] = value + continue + + # If this is one of our string fields, then we'll check to see if our + # value is a list of a single item. If it is then we'll assume that + # it was emitted as a single string, and unwrap the str from inside + # the list. + # + # If it's any other kind of data, then we haven't the faintest clue + # what we should parse it as, and we have to just add it to our list + # of unparsed stuff. + if raw_name in _STRING_FIELDS and len(value) == 1: + raw[raw_name] = value[0] + # If this is import_names, we need to special case the empty field + # case, which converts to an empty list instead of None. We can't let + # the empty case slip through, as it will fail validation. + elif raw_name == "import_names" and value == [""]: + raw[raw_name] = [] + # If this is one of our list of string fields, then we can just assign + # the value, since email *only* has strings, and our get_all() call + # above ensures that this is a list. + elif raw_name in _LIST_FIELDS: + raw[raw_name] = value + # Special Case: Keywords + # The keywords field is implemented in the metadata spec as a str, + # but it conceptually is a list of strings, and is serialized using + # ", ".join(keywords), so we'll do some light data massaging to turn + # this into what it logically is. + elif raw_name == "keywords" and len(value) == 1: + raw[raw_name] = _parse_keywords(value[0]) + # Special Case: Project-URL + # The project urls is implemented in the metadata spec as a list of + # specially-formatted strings that represent a key and a value, which + # is fundamentally a mapping, however the email format doesn't support + # mappings in a sane way, so it was crammed into a list of strings + # instead. + # + # We will do a little light data massaging to turn this into a map as + # it logically should be. + elif raw_name == "project_urls": + try: + raw[raw_name] = _parse_project_urls(value) + except KeyError: + unparsed[name] = value + # Nothing that we've done has managed to parse this, so it'll just + # throw it in our unparsable data and move on. + else: + unparsed[name] = value + + # We need to support getting the Description from the message payload in + # addition to getting it from the the headers. This does mean, though, there + # is the possibility of it being set both ways, in which case we put both + # in 'unparsed' since we don't know which is right. + try: + payload = _get_payload(parsed, data) + except ValueError: + unparsed.setdefault("description", []).append( + parsed.get_payload(decode=isinstance(data, bytes)) # type: ignore[call-overload] + ) + else: + if payload: + # Check to see if we've already got a description, if so then both + # it, and this body move to unparsable. + if "description" in raw: + description_header = cast("str", raw.pop("description")) + unparsed.setdefault("description", []).extend( + [description_header, payload] + ) + elif "description" in unparsed: + unparsed["description"].append(payload) + else: + raw["description"] = payload + + # We need to cast our `raw` to a metadata, because a TypedDict only support + # literal key names, but we're computing our key names on purpose, but the + # way this function is implemented, our `TypedDict` can only have valid key + # names. + return cast("RawMetadata", raw), unparsed + + +_NOT_FOUND = object() + + +# Keep the two values in sync. +_VALID_METADATA_VERSIONS = [ + "1.0", + "1.1", + "1.2", + "2.1", + "2.2", + "2.3", + "2.4", + "2.5", + "2.6", +] +_MetadataVersion = Literal[ + "1.0", "1.1", "1.2", "2.1", "2.2", "2.3", "2.4", "2.5", "2.6" +] + +_REQUIRED_ATTRS = frozenset(["metadata_version", "name", "version"]) + + +class _Validator(Generic[T]): + """Validate a metadata field. + + All _process_*() methods correspond to a core metadata field. The method is + called with the field's raw value. If the raw value is valid it is returned + in its "enriched" form (e.g. ``version.Version`` for the ``Version`` field). + If the raw value is invalid, :exc:`InvalidMetadata` is raised (with a cause + as appropriate). + """ + + name: str + raw_name: str + added: _MetadataVersion + + def __init__( + self, + *, + added: _MetadataVersion = "1.0", + ) -> None: + self.added = added + + def __set_name__(self, _owner: Metadata, name: str) -> None: + self.name = name + self.raw_name = _RAW_TO_EMAIL_MAPPING[name] + + def __get__(self, instance: Metadata, _owner: type[Metadata]) -> T: + # With Python 3.8, the caching can be replaced with functools.cached_property(). + # No need to check the cache as attribute lookup will resolve into the + # instance's __dict__ before __get__ is called. + cache = instance.__dict__ + value = instance._raw.get(self.name) + + # To make the _process_* methods easier, we'll check if the value is None + # and if this field is NOT a required attribute, and if both of those + # things are true, we'll skip the the converter. This will mean that the + # converters never have to deal with the None union. + if self.name in _REQUIRED_ATTRS or value is not None: + try: + converter: Callable[[Any], T] = getattr(self, f"_process_{self.name}") + except AttributeError: + pass + else: + value = converter(value) + + cache[self.name] = value + try: + del instance._raw[self.name] # type: ignore[misc] + except KeyError: + pass + + return cast("T", value) + + def _invalid_metadata( + self, msg: str, cause: Exception | None = None + ) -> InvalidMetadata: + exc = InvalidMetadata(self.raw_name, msg) + exc.__cause__ = cause + return exc + + def _process_metadata_version(self, value: str) -> _MetadataVersion: + # Implicitly makes Metadata-Version required. + if value not in _VALID_METADATA_VERSIONS: + raise self._invalid_metadata(f"{value!r} is not a valid metadata version") + return cast("_MetadataVersion", value) + + def _process_name(self, value: str) -> str: + if not value: + raise self._invalid_metadata(f"{self.raw_name!r} is a required field") + # Validate the name as a side-effect. + try: + utils.canonicalize_name(value, validate=True) + except utils.InvalidName as exc: + raise self._invalid_metadata( + f"{value!r} is invalid for {self.raw_name!r}", cause=exc + ) from exc + else: + return value + + def _process_version(self, value: str) -> Version: + if not value: + raise self._invalid_metadata(f"{self.raw_name!r} is a required field") + try: + return version_module.parse(value) + except version_module.InvalidVersion as exc: + raise self._invalid_metadata( + f"{value!r} is invalid for {self.raw_name!r}", cause=exc + ) from exc + + def _process_summary(self, value: str) -> str: + """Check the field contains no line breaks.""" + if _LINE_BOUNDARY_RE.search(value): + raise self._invalid_metadata(f"{self.raw_name!r} must be a single line") + return value + + def _process_description_content_type(self, value: str) -> str: + content_types = {"text/plain", "text/x-rst", "text/markdown"} + invalid_msg = ( + f"{self.raw_name!r} must be one of {list(content_types)}, not {value!r}" + ) + message = email.message.EmailMessage() + try: + message["content-type"] = value + # The email parser can raise IndexError on malformed RFC 2231 + # parameters such as "text/plain; x*". + except (ValueError, IndexError) as exc: + msg = f"{value!r} is not a valid content type for {self.raw_name!r}" + raise self._invalid_metadata(msg, cause=exc) from exc + content_type_header = message["content-type"] + if content_type_header.defects: + defect = content_type_header.defects[0] + msg = ( + f"{value!r} is not a valid content type for {self.raw_name!r}: {defect}" + ) + raise self._invalid_metadata(msg, cause=defect) from defect + + content_type, parameters = ( + # Defaults to `text/plain` if parsing failed. + message.get_content_type().lower(), + content_type_header.params, + ) + # Check if content-type is valid or defaulted to `text/plain` and thus was + # not parseable. + if content_type not in content_types or content_type not in value.lower(): + raise self._invalid_metadata(invalid_msg) + + charset = parameters.get("charset", "UTF-8") + if charset.lower() != "utf-8": + raise self._invalid_metadata( + f"{self.raw_name!r} can only specify the UTF-8 charset, not {charset!r}" + ) + + markdown_variants = {"GFM", "CommonMark"} + variant = parameters.get("variant", "GFM") # Use an acceptable default. + if content_type == "text/markdown" and variant not in markdown_variants: + raise self._invalid_metadata( + f"valid Markdown variants for {self.raw_name!r} are " + f"{list(markdown_variants)}, not {variant!r}", + ) + return value + + def _process_dynamic(self, value: list[str]) -> list[str]: + dynamic_fields = list(map(str.lower, value)) + for dynamic_field in dynamic_fields: + if dynamic_field in {"name", "version", "metadata-version"}: + raise self._invalid_metadata( + f"{dynamic_field!r} is not allowed as a dynamic field" + ) + elif dynamic_field not in _EMAIL_TO_RAW_MAPPING: + raise self._invalid_metadata( + f"{dynamic_field!r} is not a valid dynamic field" + ) + return dynamic_fields + + def _process_provides_extra( + self, + value: list[str], + ) -> list[utils.NormalizedName]: + normalized_names = [] + try: + for name in value: + normalized_names.append(utils.canonicalize_name(name, validate=True)) + except utils.InvalidName as exc: + raise self._invalid_metadata( + f"{name!r} is invalid for {self.raw_name!r}", cause=exc + ) from exc + else: + return normalized_names + + def _process_requires_python(self, value: str) -> specifiers.SpecifierSet: + try: + return specifiers.SpecifierSet(value) + except specifiers.InvalidSpecifier as exc: + raise self._invalid_metadata( + f"{value!r} is invalid for {self.raw_name!r}", cause=exc + ) from exc + + def _process_requires_dist( + self, + value: list[str], + ) -> list[requirements.Requirement]: + reqs = [] + try: + for req in value: + reqs.append(requirements.Requirement(req)) + except requirements.InvalidRequirement as exc: + raise self._invalid_metadata( + f"{req!r} is invalid for {self.raw_name!r}", cause=exc + ) from exc + else: + return reqs + + def _process_license_expression(self, value: str) -> NormalizedLicenseExpression: + try: + return licenses.canonicalize_license_expression(value) + except ValueError as exc: + raise self._invalid_metadata( + f"{value!r} is invalid for {self.raw_name!r}", cause=exc + ) from exc + + def _process_license_files(self, value: list[str]) -> list[str]: + paths = [] + for path in value: + if ".." in path: + raise self._invalid_metadata( + f"{path!r} is invalid for {self.raw_name!r}, " + "parent directory indicators are not allowed" + ) + if "*" in path: + raise self._invalid_metadata( + f"{path!r} is invalid for {self.raw_name!r}, paths must be resolved" + ) + if ( + pathlib.PurePosixPath(path).is_absolute() + or pathlib.PureWindowsPath(path).is_absolute() + ): + raise self._invalid_metadata( + f"{path!r} is invalid for {self.raw_name!r}, paths must be relative" + ) + if pathlib.PureWindowsPath(path).as_posix() != path: + raise self._invalid_metadata( + f"{path!r} is invalid for {self.raw_name!r}, " + "paths must use '/' delimiter" + ) + paths.append(path) + return paths + + def _process_import_names(self, value: list[str]) -> list[str]: + for import_name in value: + name, semicolon, private = import_name.partition(";") + name = name.rstrip() + for identifier in name.split("."): + if not identifier.isidentifier(): + raise self._invalid_metadata( + f"{name!r} is invalid for {self.raw_name!r}; " + f"{identifier!r} is not a valid identifier" + ) + elif keyword.iskeyword(identifier): + raise self._invalid_metadata( + f"{name!r} is invalid for {self.raw_name!r}; " + f"{identifier!r} is a keyword" + ) + if semicolon and private.lstrip() != "private": + raise self._invalid_metadata( + f"{import_name!r} is invalid for {self.raw_name!r}; " + "the only valid option is 'private'" + ) + return value + + _process_import_namespaces = _process_import_names + + +class Metadata: + """Representation of distribution metadata. + + Compared to :class:`RawMetadata`, this class provides objects representing + metadata fields instead of only using built-in types. Any invalid metadata + will cause :exc:`InvalidMetadata` to be raised (with a + :py:attr:`~BaseException.__cause__` attribute as appropriate). + + .. versionadded:: 23.2 + + .. versionchanged:: 24.0 + Optional attributes now return None when the field is absent instead of + raising. + """ + + _raw: RawMetadata + + @classmethod + def from_raw(cls, data: RawMetadata, *, validate: bool = True) -> Metadata: + """Create an instance from :class:`RawMetadata`. + + If *validate* is true, all metadata will be validated and all related + exceptions will be gathered and raised as an :class:`ExceptionGroup`; + otherwise, validation happens per attribute when it is accessed. + """ + ins = cls() + ins._raw = data.copy() # Mutations occur due to caching enriched values. + + if validate: + collector = _ErrorCollector() + metadata_version = None + with collector.collect(InvalidMetadata): + metadata_version = ins.metadata_version + metadata_age = _VALID_METADATA_VERSIONS.index(metadata_version) + + # Make sure to check for the fields that are present, the required + # fields (so their absence can be reported). + fields_to_check = frozenset(ins._raw) | _REQUIRED_ATTRS + # Remove fields that have already been checked. + fields_to_check -= {"metadata_version"} + + for key in fields_to_check: + try: + if metadata_version: + # Can't use getattr() as that triggers descriptor protocol which + # will fail due to no value for the instance argument. + try: + field_metadata_version = cls.__dict__[key].added + except KeyError: + exc = InvalidMetadata(key, f"unrecognized field: {key!r}") + collector.error(exc) + continue + field_age = _VALID_METADATA_VERSIONS.index( + field_metadata_version + ) + if field_age > metadata_age: + field = _RAW_TO_EMAIL_MAPPING[key] + exc = InvalidMetadata( + field, + f"{field} introduced in metadata version " + f"{field_metadata_version}, not {metadata_version}", + ) + collector.error(exc) + continue + getattr(ins, key) + except InvalidMetadata as exc: + collector.error(exc) + + collector.finalize("invalid metadata") + + return ins + + @classmethod + def from_email(cls, data: bytes | str, *, validate: bool = True) -> Metadata: + """Parse metadata from email headers. + + If *validate* is true, the metadata will be validated. All exceptions + related to validation will be gathered and raised as an :class:`ExceptionGroup`. + """ + raw, unparsed = parse_email(data) + + if validate: + with _ErrorCollector().on_exit("invalid or unparsed metadata") as collector: + for unparsed_key in unparsed: + if unparsed_key in _EMAIL_TO_RAW_MAPPING: + message = f"{unparsed_key!r} has invalid data" + else: + message = f"unrecognized field: {unparsed_key!r}" + collector.error(InvalidMetadata(unparsed_key, message)) + try: + validated = cls.from_raw(raw, validate=validate) + except ExceptionGroup as exc_group: + # The no-branch pragmas cover arcs only seen by Python 3.9. + for exc in exc_group.exceptions: # pragma: no branch + # A required field reported above as unparsed is absent + # from `raw`, so skip from_raw's duplicate "missing" + # complaint. + if not ( + isinstance(exc, InvalidMetadata) + and exc.field in unparsed + and _EMAIL_TO_RAW_MAPPING.get(exc.field) not in raw + ): + collector.error(exc) + else: + if not collector.errors: # pragma: no branch + return validated + + return cls.from_raw(raw, validate=validate) + + metadata_version: _Validator[_MetadataVersion] = _Validator() + """:external:ref:`core-metadata-metadata-version` + (required; validated to be a valid metadata version)""" + # `name` is not normalized/typed to NormalizedName so as to provide access to + # the original/raw name. + name: _Validator[str] = _Validator() + """:external:ref:`core-metadata-name` + (required; validated using :func:`~packaging.utils.canonicalize_name` and its + *validate* parameter)""" + version: _Validator[Version] = _Validator() + """:external:ref:`core-metadata-version` (required)""" + dynamic: _Validator[list[str] | None] = _Validator( + added="2.2", + ) + """:external:ref:`core-metadata-dynamic` + (validated against core metadata field names and lowercased)""" + platforms: _Validator[list[str] | None] = _Validator() + """:external:ref:`core-metadata-platform`""" + supported_platforms: _Validator[list[str] | None] = _Validator(added="1.1") + """:external:ref:`core-metadata-supported-platform`""" + summary: _Validator[str | None] = _Validator() + """:external:ref:`core-metadata-summary` (validated to contain no newlines)""" + description: _Validator[str | None] = _Validator() # TODO 2.1: can be in body + """:external:ref:`core-metadata-description`""" + description_content_type: _Validator[str | None] = _Validator(added="2.1") + """:external:ref:`core-metadata-description-content-type` (validated)""" + keywords: _Validator[list[str] | None] = _Validator() + """:external:ref:`core-metadata-keywords`""" + home_page: _Validator[str | None] = _Validator() + """:external:ref:`core-metadata-home-page`""" + download_url: _Validator[str | None] = _Validator(added="1.1") + """:external:ref:`core-metadata-download-url`""" + author: _Validator[str | None] = _Validator() + """:external:ref:`core-metadata-author`""" + author_email: _Validator[str | None] = _Validator() + """:external:ref:`core-metadata-author-email`""" + maintainer: _Validator[str | None] = _Validator(added="1.2") + """:external:ref:`core-metadata-maintainer`""" + maintainer_email: _Validator[str | None] = _Validator(added="1.2") + """:external:ref:`core-metadata-maintainer-email`""" + license: _Validator[str | None] = _Validator() + """:external:ref:`core-metadata-license`""" + license_expression: _Validator[NormalizedLicenseExpression | None] = _Validator( + added="2.4" + ) + """:external:ref:`core-metadata-license-expression` + + .. versionadded:: 24.2 + """ + license_files: _Validator[list[str] | None] = _Validator(added="2.4") + """:external:ref:`core-metadata-license-file` + + .. versionadded:: 24.2 + """ + classifiers: _Validator[list[str] | None] = _Validator(added="1.1") + """:external:ref:`core-metadata-classifier`""" + requires_dist: _Validator[list[requirements.Requirement] | None] = _Validator( + added="1.2" + ) + """:external:ref:`core-metadata-requires-dist`""" + requires_python: _Validator[specifiers.SpecifierSet | None] = _Validator( + added="1.2" + ) + """:external:ref:`core-metadata-requires-python`""" + # Because `Requires-External` allows for non-PEP 440 version specifiers, we + # don't do any processing on the values. + requires_external: _Validator[list[str] | None] = _Validator(added="1.2") + """:external:ref:`core-metadata-requires-external`""" + project_urls: _Validator[dict[str, str] | None] = _Validator(added="1.2") + """:external:ref:`core-metadata-project-url`""" + # PEP 685 lets us raise an error if an extra doesn't pass `Name` validation + # regardless of metadata version. + provides_extra: _Validator[list[utils.NormalizedName] | None] = _Validator( + added="2.1", + ) + """:external:ref:`core-metadata-provides-extra`""" + provides_dist: _Validator[list[str] | None] = _Validator(added="1.2") + """:external:ref:`core-metadata-provides-dist`""" + obsoletes_dist: _Validator[list[str] | None] = _Validator(added="1.2") + """:external:ref:`core-metadata-obsoletes-dist`""" + import_names: _Validator[list[str] | None] = _Validator(added="2.5") + """:external:ref:`core-metadata-import-name` + + .. versionadded:: 26.0 + """ + import_namespaces: _Validator[list[str] | None] = _Validator(added="2.5") + """:external:ref:`core-metadata-import-namespace` + + .. versionadded:: 26.0 + """ + requires: _Validator[list[str] | None] = _Validator(added="1.1") + """``Requires`` (deprecated)""" + provides: _Validator[list[str] | None] = _Validator(added="1.1") + """``Provides`` (deprecated)""" + obsoletes: _Validator[list[str] | None] = _Validator(added="1.1") + """``Obsoletes`` (deprecated)""" + + def as_rfc822(self) -> RFC822Message: + """ + Return an RFC822 message with the metadata. + + .. versionadded:: 26.0 + """ + message = RFC822Message() + self._write_metadata(message) + return message + + def _write_metadata(self, message: RFC822Message) -> None: + """ + Return an RFC822 message with the metadata. + """ + for name, validator in self.__class__.__dict__.items(): + if isinstance(validator, _Validator) and name != "description": + value = getattr(self, name) + email_name = _RAW_TO_EMAIL_MAPPING[name] + if value is not None: + if email_name == "project-url": + for label, url in value.items(): + message[email_name] = f"{label}, {url}" + elif email_name == "keywords": + message[email_name] = ",".join(value) + elif email_name == "import-name" and value == []: + message[email_name] = "" + elif isinstance(value, list): + for item in value: + message[email_name] = str(item) + else: + message[email_name] = str(value) + + # The description is a special case because it is in the body of the message. + if self.description is not None: + message.set_payload(self.description) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/py.typed b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/py.typed new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/pylock.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/pylock.py new file mode 100644 index 0000000000000000000000000000000000000000..b7976232d63eb22990525dd8c7c5e2c5245db7da --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/pylock.py @@ -0,0 +1,943 @@ +from __future__ import annotations + +import dataclasses +import logging +import re +from collections.abc import Mapping, Sequence +from dataclasses import dataclass +from datetime import datetime +from typing import ( + TYPE_CHECKING, + Any, + Callable, + Protocol, + TypeVar, + cast, +) +from urllib.parse import unquote, urlparse + +from .markers import ( + Environment, + Marker, + _pep440_python_full_version, + default_environment, +) +from .specifiers import SpecifierSet +from .tags import create_compatible_tags_selector, sys_tags +from .utils import ( + NormalizedName, + is_normalized_name, + parse_sdist_filename, + parse_wheel_filename, +) +from .version import Version + +if TYPE_CHECKING: # pragma: no cover + from collections.abc import Collection, Iterator + from pathlib import Path + + from typing_extensions import Self + + from .tags import Tag + +_logger = logging.getLogger(__name__) + +__all__ = [ + "Package", + "PackageArchive", + "PackageDirectory", + "PackageSdist", + "PackageVcs", + "PackageWheel", + "Pylock", + "PylockSelectError", + "PylockUnsupportedVersionError", + "PylockValidationError", + "is_valid_pylock_path", +] + + +def __dir__() -> list[str]: + return __all__ + + +_T = TypeVar("_T") +_T2 = TypeVar("_T2") + + +class _FromMappingProtocol(Protocol): # pragma: no cover + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: ... + + +_FromMappingProtocolT = TypeVar("_FromMappingProtocolT", bound=_FromMappingProtocol) + + +_PYLOCK_FILE_NAME_RE = re.compile(r"^pylock\.([^.]+)\.toml$") + + +def is_valid_pylock_path(path: Path) -> bool: + """Check if the given path is a valid pylock file path.""" + return path.name == "pylock.toml" or bool(_PYLOCK_FILE_NAME_RE.match(path.name)) + + +def _toml_key(key: str) -> str: + return key.replace("_", "-") + + +def _toml_value(key: str, value: Any) -> Any: # noqa: ANN401 + if isinstance(value, (Version, Marker, SpecifierSet)): + return str(value) + if isinstance(value, Sequence) and key == "environments": + return [str(v) for v in value] + return value + + +def _toml_dict_factory(data: list[tuple[str, Any]]) -> dict[str, Any]: + return { + _toml_key(key): _toml_value(key, value) + for key, value in data + if value is not None + } + + +def _get(d: Mapping[str, Any], expected_type: type[_T], key: str) -> _T | None: + """Get a value from the dictionary and verify it's the expected type.""" + if (value := d.get(key)) is None: + return None + if not isinstance(value, expected_type) or ( + # Special case: bool is a subclass of int, but TOML distinguishes the two + expected_type is int and isinstance(value, bool) + ): + raise PylockValidationError( + f"Unexpected type {type(value).__name__} " + f"(expected {expected_type.__name__})", + context=key, + ) + return value + + +def _get_required(d: Mapping[str, Any], expected_type: type[_T], key: str) -> _T: + """Get a required value from the dictionary and verify it's the expected type.""" + if (value := _get(d, expected_type, key)) is None: + raise _PylockRequiredKeyError(key) + return value + + +def _get_sequence( + d: Mapping[str, Any], expected_item_type: type[_T], key: str +) -> Sequence[_T] | None: + """Get a list value from the dictionary and verify it's the expected items type.""" + if (value := _get(d, Sequence, key)) is None: # type: ignore[type-abstract] + return None + if isinstance(value, (str, bytes)): + # special case: str and bytes are Sequences, but we want to reject it + raise PylockValidationError( + f"Unexpected type {type(value).__name__} (expected Sequence)", + context=key, + ) + for i, item in enumerate(value): + if not isinstance(item, expected_item_type): + raise PylockValidationError( + f"Unexpected type {type(item).__name__} " + f"(expected {expected_item_type.__name__})", + context=f"{key}[{i}]", + ) + return value + + +def _get_as( + d: Mapping[str, Any], + expected_type: type[_T], + target_type: Callable[[_T], _T2], + key: str, +) -> _T2 | None: + """Get a value from the dictionary, verify it's the expected type, + and convert to the target type. + + This assumes the target_type constructor accepts the value. + """ + if (value := _get(d, expected_type, key)) is None: + return None + try: + return target_type(value) + except Exception as e: + raise PylockValidationError(e, context=key) from e + + +def _get_required_as( + d: Mapping[str, Any], + expected_type: type[_T], + target_type: Callable[[_T], _T2], + key: str, +) -> _T2: + """Get a required value from the dict, verify it's the expected type, + and convert to the target type.""" + if (value := _get_as(d, expected_type, target_type, key)) is None: + raise _PylockRequiredKeyError(key) + return value + + +def _get_sequence_as( + d: Mapping[str, Any], + expected_item_type: type[_T], + target_item_type: Callable[[_T], _T2], + key: str, +) -> list[_T2] | None: + """Get list value from dictionary and verify expected items type.""" + if (value := _get_sequence(d, expected_item_type, key)) is None: + return None + result = [] + try: + for item in value: + typed_item = target_item_type(item) + result.append(typed_item) + except Exception as e: + raise PylockValidationError(e, context=f"{key}[{len(result)}]") from e + return result + + +def _get_object( + d: Mapping[str, Any], target_type: type[_FromMappingProtocolT], key: str +) -> _FromMappingProtocolT | None: + """Get a dictionary value from the dictionary and convert it to a dataclass.""" + if (value := _get(d, Mapping, key)) is None: # type: ignore[type-abstract] + return None + try: + return target_type._from_dict(value) + except Exception as e: + raise PylockValidationError(e, context=key) from e + + +def _get_sequence_of_objects( + d: Mapping[str, Any], target_item_type: type[_FromMappingProtocolT], key: str +) -> list[_FromMappingProtocolT] | None: + """Get a list value from the dictionary and convert its items to a dataclass.""" + if (value := _get_sequence(d, Mapping, key)) is None: # type: ignore[type-abstract] + return None + result: list[_FromMappingProtocolT] = [] + try: + for item in value: + typed_item = target_item_type._from_dict(item) + result.append(typed_item) + except Exception as e: + raise PylockValidationError(e, context=f"{key}[{len(result)}]") from e + return result + + +def _get_required_sequence_of_objects( + d: Mapping[str, Any], target_item_type: type[_FromMappingProtocolT], key: str +) -> Sequence[_FromMappingProtocolT]: + """Get a required list value from the dictionary and convert its items to a + dataclass.""" + if (result := _get_sequence_of_objects(d, target_item_type, key)) is None: + raise _PylockRequiredKeyError(key) + return result + + +def _validate_normalized_name(name: str) -> NormalizedName: + """Validate that a string is a NormalizedName.""" + if not is_normalized_name(name): + raise PylockValidationError(f"Name {name!r} is not normalized") + return NormalizedName(name) + + +def _validate_path_url(path: str | None, url: str | None) -> None: + if not path and not url: + raise PylockValidationError("path or url must be provided") + + +def _path_name(path: str | None) -> str | None: + if not path: + return None + # If the path is relative it MAY use POSIX-style path separators explicitly + # for portability + if "/" in path: + return path.rsplit("/", 1)[-1] + elif "\\" in path: + return path.rsplit("\\", 1)[-1] + else: + return path + + +def _url_name(url: str | None) -> str | None: + if not url: + return None + url_path = urlparse(url).path + # The last path component is percent-encoded, so decode it to the file name + return unquote(url_path.rsplit("/", 1)[-1]) + + +def _validate_hashes(hashes: Mapping[str, Any]) -> Mapping[str, Any]: + if not hashes: + raise PylockValidationError("At least one hash must be provided") + if not all(isinstance(hash_val, str) for hash_val in hashes.values()): + raise PylockValidationError("Hash values must be strings") + return hashes + + +class PylockValidationError(Exception): + """Raised when when input data is not spec-compliant.""" + + context: str | None = None + message: str + + def __init__( + self, + cause: str | Exception, + *, + context: str | None = None, + ) -> None: + if isinstance(cause, PylockValidationError): + if cause.context: + self.context = ( + f"{context}.{cause.context}" if context else cause.context + ) + else: + self.context = context + self.message = cause.message + else: + self.context = context + self.message = str(cause) + + def __str__(self) -> str: + if self.context: + return f"{self.message} in {self.context!r}" + return self.message + + +class _PylockRequiredKeyError(PylockValidationError): + def __init__(self, key: str) -> None: + super().__init__("Missing required value", context=key) + + +class PylockUnsupportedVersionError(PylockValidationError): + """Raised when encountering an unsupported `lock_version`.""" + + +class PylockSelectError(Exception): + """Base exception for errors raised by :meth:`Pylock.select`. + + .. versionadded:: 26.1 + """ + + +@dataclass(frozen=True, init=False) +class PackageVcs: + type: str + url: str | None = None + path: str | None = None + requested_revision: str | None = None + commit_id: str # type: ignore[misc] + subdirectory: str | None = None + + def __init__( + self, + *, + type: str, + url: str | None = None, + path: str | None = None, + requested_revision: str | None = None, + commit_id: str, + subdirectory: str | None = None, + ) -> None: + # In Python 3.10+ make dataclass kw_only=True and remove __init__ + object.__setattr__(self, "type", type) + object.__setattr__(self, "url", url) + object.__setattr__(self, "path", path) + object.__setattr__(self, "requested_revision", requested_revision) + object.__setattr__(self, "commit_id", commit_id) + object.__setattr__(self, "subdirectory", subdirectory) + + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: + package_vcs = cls( + type=_get_required(d, str, "type"), + url=_get(d, str, "url"), + path=_get(d, str, "path"), + requested_revision=_get(d, str, "requested-revision"), + commit_id=_get_required(d, str, "commit-id"), + subdirectory=_get(d, str, "subdirectory"), + ) + _validate_path_url(package_vcs.path, package_vcs.url) + return package_vcs + + +@dataclass(frozen=True, init=False) +class PackageDirectory: + path: str + editable: bool | None = None + subdirectory: str | None = None + + def __init__( + self, + *, + path: str, + editable: bool | None = None, + subdirectory: str | None = None, + ) -> None: + # In Python 3.10+ make dataclass kw_only=True and remove __init__ + object.__setattr__(self, "path", path) + object.__setattr__(self, "editable", editable) + object.__setattr__(self, "subdirectory", subdirectory) + + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: + return cls( + path=_get_required(d, str, "path"), + editable=_get(d, bool, "editable"), + subdirectory=_get(d, str, "subdirectory"), + ) + + +@dataclass(frozen=True, init=False) +class PackageArchive: + url: str | None = None + path: str | None = None + size: int | None = None + upload_time: datetime | None = None + hashes: Mapping[str, str] # type: ignore[misc] + subdirectory: str | None = None + + def __init__( + self, + *, + url: str | None = None, + path: str | None = None, + size: int | None = None, + upload_time: datetime | None = None, + hashes: Mapping[str, str], + subdirectory: str | None = None, + ) -> None: + # In Python 3.10+ make dataclass kw_only=True and remove __init__ + object.__setattr__(self, "url", url) + object.__setattr__(self, "path", path) + object.__setattr__(self, "size", size) + object.__setattr__(self, "upload_time", upload_time) + object.__setattr__(self, "hashes", hashes) + object.__setattr__(self, "subdirectory", subdirectory) + + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: + package_archive = cls( + url=_get(d, str, "url"), + path=_get(d, str, "path"), + size=_get(d, int, "size"), + upload_time=_get(d, datetime, "upload-time"), + hashes=_get_required_as(d, Mapping, _validate_hashes, "hashes"), # type: ignore[type-abstract] + subdirectory=_get(d, str, "subdirectory"), + ) + _validate_path_url(package_archive.path, package_archive.url) + return package_archive + + +@dataclass(frozen=True, init=False) +class PackageSdist: + name: str | None = None + upload_time: datetime | None = None + url: str | None = None + path: str | None = None + size: int | None = None + hashes: Mapping[str, str] # type: ignore[misc] + + def __init__( + self, + *, + name: str | None = None, + upload_time: datetime | None = None, + url: str | None = None, + path: str | None = None, + size: int | None = None, + hashes: Mapping[str, str], + ) -> None: + # In Python 3.10+ make dataclass kw_only=True and remove __init__ + object.__setattr__(self, "name", name) + object.__setattr__(self, "upload_time", upload_time) + object.__setattr__(self, "url", url) + object.__setattr__(self, "path", path) + object.__setattr__(self, "size", size) + object.__setattr__(self, "hashes", hashes) + + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: + package_sdist = cls( + name=_get(d, str, "name"), + upload_time=_get(d, datetime, "upload-time"), + url=_get(d, str, "url"), + path=_get(d, str, "path"), + size=_get(d, int, "size"), + hashes=_get_required_as(d, Mapping, _validate_hashes, "hashes"), # type: ignore[type-abstract] + ) + _validate_path_url(package_sdist.path, package_sdist.url) + return package_sdist + + @property + def filename(self) -> str: + """Get the filename of the sdist. + + .. versionadded:: 26.1 + """ + filename = self.name or _path_name(self.path) or _url_name(self.url) + if not filename: + raise PylockValidationError("Cannot determine sdist filename") + return filename + + +@dataclass(frozen=True, init=False) +class PackageWheel: + name: str | None = None + upload_time: datetime | None = None + url: str | None = None + path: str | None = None + size: int | None = None + hashes: Mapping[str, str] # type: ignore[misc] + + def __init__( + self, + *, + name: str | None = None, + upload_time: datetime | None = None, + url: str | None = None, + path: str | None = None, + size: int | None = None, + hashes: Mapping[str, str], + ) -> None: + # In Python 3.10+ make dataclass kw_only=True and remove __init__ + object.__setattr__(self, "name", name) + object.__setattr__(self, "upload_time", upload_time) + object.__setattr__(self, "url", url) + object.__setattr__(self, "path", path) + object.__setattr__(self, "size", size) + object.__setattr__(self, "hashes", hashes) + + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: + package_wheel = cls( + name=_get(d, str, "name"), + upload_time=_get(d, datetime, "upload-time"), + url=_get(d, str, "url"), + path=_get(d, str, "path"), + size=_get(d, int, "size"), + hashes=_get_required_as(d, Mapping, _validate_hashes, "hashes"), # type: ignore[type-abstract] + ) + _validate_path_url(package_wheel.path, package_wheel.url) + return package_wheel + + @property + def filename(self) -> str: + """Get the filename of the wheel.""" + filename = self.name or _path_name(self.path) or _url_name(self.url) + if not filename: + raise PylockValidationError("Cannot determine wheel filename") + return filename + + +@dataclass(frozen=True, init=False) +class Package: + name: NormalizedName + version: Version | None = None + marker: Marker | None = None + requires_python: SpecifierSet | None = None + dependencies: Sequence[Mapping[str, Any]] | None = None + vcs: PackageVcs | None = None + directory: PackageDirectory | None = None + archive: PackageArchive | None = None + index: str | None = None + sdist: PackageSdist | None = None + wheels: Sequence[PackageWheel] | None = None + attestation_identities: Sequence[Mapping[str, Any]] | None = None + tool: Mapping[str, Any] | None = None + + def __init__( + self, + *, + name: NormalizedName, + version: Version | None = None, + marker: Marker | None = None, + requires_python: SpecifierSet | None = None, + dependencies: Sequence[Mapping[str, Any]] | None = None, + vcs: PackageVcs | None = None, + directory: PackageDirectory | None = None, + archive: PackageArchive | None = None, + index: str | None = None, + sdist: PackageSdist | None = None, + wheels: Sequence[PackageWheel] | None = None, + attestation_identities: Sequence[Mapping[str, Any]] | None = None, + tool: Mapping[str, Any] | None = None, + ) -> None: + # In Python 3.10+ make dataclass kw_only=True and remove __init__ + object.__setattr__(self, "name", name) + object.__setattr__(self, "version", version) + object.__setattr__(self, "marker", marker) + object.__setattr__(self, "requires_python", requires_python) + object.__setattr__(self, "dependencies", dependencies) + object.__setattr__(self, "vcs", vcs) + object.__setattr__(self, "directory", directory) + object.__setattr__(self, "archive", archive) + object.__setattr__(self, "index", index) + object.__setattr__(self, "sdist", sdist) + object.__setattr__(self, "wheels", wheels) + object.__setattr__(self, "attestation_identities", attestation_identities) + object.__setattr__(self, "tool", tool) + + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: + package = cls( + name=_get_required_as(d, str, _validate_normalized_name, "name"), + version=_get_as(d, str, Version, "version"), + requires_python=_get_as(d, str, SpecifierSet, "requires-python"), + dependencies=_get_sequence(d, Mapping, "dependencies"), # type: ignore[type-abstract] + marker=_get_as(d, str, Marker, "marker"), + vcs=_get_object(d, PackageVcs, "vcs"), + directory=_get_object(d, PackageDirectory, "directory"), + archive=_get_object(d, PackageArchive, "archive"), + index=_get(d, str, "index"), + sdist=_get_object(d, PackageSdist, "sdist"), + wheels=_get_sequence_of_objects(d, PackageWheel, "wheels"), + attestation_identities=_get_sequence(d, Mapping, "attestation-identities"), # type: ignore[type-abstract] + tool=_get(d, Mapping, "tool"), # type: ignore[type-abstract] + ) + distributions = bool(package.sdist) + len(package.wheels or []) + direct_urls = ( + bool(package.vcs) + bool(package.directory) + bool(package.archive) + ) + if distributions > 0 and direct_urls > 0: + raise PylockValidationError( + "None of vcs, directory, archive must be set if sdist or wheels are set" + ) + if distributions == 0 and direct_urls != 1: + raise PylockValidationError( + "Exactly one of vcs, directory, archive must be set " + "if sdist and wheels are not set" + ) + for i, wheel in enumerate(package.wheels or []): + try: + (name, version, _, _) = parse_wheel_filename(wheel.filename) + except Exception as e: + raise PylockValidationError( + f"Invalid wheel filename {wheel.filename!r}", + context=f"wheels[{i}]", + ) from e + if name != package.name: + raise PylockValidationError( + f"Name in {wheel.filename!r} is not consistent with " + f"package name {package.name!r}", + context=f"wheels[{i}]", + ) + if package.version and version != package.version: + raise PylockValidationError( + f"Version in {wheel.filename!r} is not consistent with " + f"package version {str(package.version)!r}", + context=f"wheels[{i}]", + ) + if package.sdist: + try: + name, version = parse_sdist_filename(package.sdist.filename) + except Exception as e: + raise PylockValidationError( + f"Invalid sdist filename {package.sdist.filename!r}", + context="sdist", + ) from e + if name != package.name: + raise PylockValidationError( + f"Name in {package.sdist.filename!r} is not consistent with " + f"package name {package.name!r}", + context="sdist", + ) + if package.version and version != package.version: + raise PylockValidationError( + f"Version in {package.sdist.filename!r} is not consistent with " + f"package version {str(package.version)!r}", + context="sdist", + ) + try: + for i, attestation_identity in enumerate( # noqa: B007 + package.attestation_identities or [] + ): + _get_required(attestation_identity, str, "kind") + except Exception as e: + raise PylockValidationError( + e, context=f"attestation-identities[{i}]" + ) from e + return package + + @property + def is_direct(self) -> bool: + return not (self.sdist or self.wheels) + + +@dataclass(frozen=True, init=False) +class Pylock: + """A class representing a pylock file.""" + + lock_version: Version + environments: Sequence[Marker] | None = None + requires_python: SpecifierSet | None = None + extras: Sequence[NormalizedName] | None = None + dependency_groups: Sequence[str] | None = None + default_groups: Sequence[str] | None = None + created_by: str # type: ignore[misc] + packages: Sequence[Package] # type: ignore[misc] + tool: Mapping[str, Any] | None = None + + def __init__( + self, + *, + lock_version: Version, + environments: Sequence[Marker] | None = None, + requires_python: SpecifierSet | None = None, + extras: Sequence[NormalizedName] | None = None, + dependency_groups: Sequence[str] | None = None, + default_groups: Sequence[str] | None = None, + created_by: str, + packages: Sequence[Package], + tool: Mapping[str, Any] | None = None, + ) -> None: + # In Python 3.10+ make dataclass kw_only=True and remove __init__ + object.__setattr__(self, "lock_version", lock_version) + object.__setattr__(self, "environments", environments) + object.__setattr__(self, "requires_python", requires_python) + object.__setattr__(self, "extras", extras) + object.__setattr__(self, "dependency_groups", dependency_groups) + object.__setattr__(self, "default_groups", default_groups) + object.__setattr__(self, "created_by", created_by) + object.__setattr__(self, "packages", packages) + object.__setattr__(self, "tool", tool) + + @classmethod + def _from_dict(cls, d: Mapping[str, Any]) -> Self: + pylock = cls( + lock_version=_get_required_as(d, str, Version, "lock-version"), + environments=_get_sequence_as(d, str, Marker, "environments"), + extras=_get_sequence_as(d, str, _validate_normalized_name, "extras"), + dependency_groups=_get_sequence(d, str, "dependency-groups"), + default_groups=_get_sequence(d, str, "default-groups"), + created_by=_get_required(d, str, "created-by"), + requires_python=_get_as(d, str, SpecifierSet, "requires-python"), + packages=_get_required_sequence_of_objects(d, Package, "packages"), + tool=_get(d, Mapping, "tool"), # type: ignore[type-abstract] + ) + if not Version("1") <= pylock.lock_version < Version("2"): + raise PylockUnsupportedVersionError( + f"pylock version {pylock.lock_version} is not supported" + ) + if pylock.lock_version > Version("1.0"): + _logger.warning( + "pylock minor version %s is not supported", pylock.lock_version + ) + return pylock + + @classmethod + def from_dict(cls, d: Mapping[str, Any], /) -> Self: + """Create and validate a Pylock instance from a TOML dictionary. + + Raises :class:`PylockValidationError` if the input data is not + spec-compliant. + """ + return cls._from_dict(d) + + def to_dict(self) -> Mapping[str, Any]: + """Convert the Pylock instance to a TOML dictionary.""" + return dataclasses.asdict(self, dict_factory=_toml_dict_factory) + + def validate(self) -> None: + """Validate the Pylock instance against the specification. + + Raises :class:`PylockValidationError` otherwise.""" + self.from_dict(self.to_dict()) + + def select( + self, + *, + environment: Environment | None = None, + tags: Sequence[Tag] | None = None, + extras: Collection[str] | None = None, + dependency_groups: Collection[str] | None = None, + prefer_sdist_predicate: Callable[[NormalizedName], bool] | None = None, + ) -> Iterator[ + tuple[ + Package, + PackageVcs + | PackageDirectory + | PackageArchive + | PackageWheel + | PackageSdist, + ] + ]: + """Select what to install from the lock file. + + The *environment* and *tags* parameters represent the environment being + selected for. If unspecified, ``packaging.markers.default_environment()`` and + ``packaging.tags.sys_tags()`` are used. + + The *extras* parameter represents the extras to install. + + The *dependency_groups* parameter represents the groups to install. If + unspecified, the default groups are used. + + The *prefer_sdist_predicate* parameter is called for packages with a source + distribution. If it returns ``True``, the source distribution is selected + before attempting wheel compatibility. If no source distribution is + available, wheel selection proceeds as usual without calling the predicate. + + This method must be used on valid Pylock instances (i.e. one obtained + from :meth:`Pylock.from_dict` or if constructed manually, after calling + :meth:`Pylock.validate`). + + .. versionadded:: 26.1 + + .. versionchanged:: 26.3 + Added the *prefer_sdist_predicate* parameter. + """ + compatible_tags_selector = create_compatible_tags_selector( + tags if tags is not None else sys_tags() + ) + + # #. Gather the extras and dependency groups to install and set ``extras`` and + # ``dependency_groups`` for marker evaluation, respectively. + # + # #. ``extras`` SHOULD be set to the empty set by default. + # #. ``dependency_groups`` SHOULD be the set created from + # :ref:`pylock-default-groups` by default. + env = cast( + "dict[str, str | frozenset[str]]", + dict( + environment or {}, # Marker.evaluate will fill-up + extras=frozenset(extras or []), + dependency_groups=frozenset( + (self.default_groups or []) + if dependency_groups is None # to allow selecting no group + else dependency_groups + ), + ), + ) + env_python_full_version = _pep440_python_full_version( + environment["python_full_version"] + if environment + else default_environment()["python_full_version"] + ) + + # #. Check if the metadata version specified by :ref:`pylock-lock-version` is + # supported; an error or warning MUST be raised as appropriate. + # Covered by lock.validate() which is a precondition for this method. + + # #. If :ref:`pylock-requires-python` is specified, check that the environment + # being installed for meets the requirement; an error MUST be raised if it is + # not met. + if self.requires_python and not self.requires_python.contains( + env_python_full_version, + ): + raise PylockSelectError( + f"python_full_version {env_python_full_version!r} " + f"in provided environment does not satisfy the Python version " + f"requirement {str(self.requires_python)!r}" + ) + + # #. If :ref:`pylock-environments` is specified, check that at least one of the + # environment marker expressions is satisfied; an error MUST be raised if no + # expression is satisfied. + if self.environments: + for env_marker in self.environments: + if env_marker.evaluate( + cast("dict[str, str]", environment or {}), context="requirement" + ): + break + else: + raise PylockSelectError( + "Provided environment does not satisfy any of the " + "environments specified in the lock file" + ) + + # #. For each package listed in :ref:`pylock-packages`: + selected_packages_by_name: dict[str, tuple[int, Package]] = {} + for package_index, package in enumerate(self.packages): + # #. If :ref:`pylock-packages-marker` is specified, check if it is + # satisfied;if it isn't, skip to the next package. + if package.marker and not package.marker.evaluate(env, context="lock_file"): + continue + + # #. If :ref:`pylock-packages-requires-python` is specified, check if it is + # satisfied; an error MUST be raised if it isn't. + if package.requires_python and not package.requires_python.contains( + env_python_full_version, + ): + raise PylockSelectError( + f"python_full_version {env_python_full_version!r} " + f"in provided environment does not satisfy the Python version " + f"requirement {str(package.requires_python)!r} for package " + f"{package.name!r} at packages[{package_index}]" + ) + + # #. Check that no other conflicting instance of the package has been slated + # to be installed; an error about the ambiguity MUST be raised otherwise. + if package.name in selected_packages_by_name: + raise PylockSelectError( + f"Multiple packages with the name {package.name!r} are " + f"selected at packages[{package_index}] and " + f"packages[{selected_packages_by_name[package.name][0]}]" + ) + + # #. Check that the source of the package is specified appropriately (i.e. + # there are no conflicting sources in the package entry); + # an error MUST be raised if any issues are found. + # Covered by lock.validate() which is a precondition for this method. + + # #. Add the package to the set of packages to install. + selected_packages_by_name[package.name] = (package_index, package) + + # #. For each package to be installed: + for package_index, package in selected_packages_by_name.values(): + # - If :ref:`pylock-packages-vcs` is set: + if package.vcs is not None: + yield package, package.vcs + + # - Else if :ref:`pylock-packages-directory` is set: + elif package.directory is not None: + yield package, package.directory + + # - Else if :ref:`pylock-packages-archive` is set: + elif package.archive is not None: + yield package, package.archive + + # - Else if source preference selects an available + # :ref:`pylock-packages-sdist`: + elif ( + package.sdist is not None + and prefer_sdist_predicate is not None + and prefer_sdist_predicate(package.name) + ): + yield package, package.sdist + + # - Else if there are entries for :ref:`pylock-packages-wheels`: + elif package.wheels: + # #. Look for the appropriate wheel file based on + # :ref:`pylock-packages-wheels-name`; if one is not found then move + # on to :ref:`pylock-packages-sdist` or an error MUST be raised about + # a lack of source for the project. + best_wheel = next( + compatible_tags_selector( + (wheel, parse_wheel_filename(wheel.filename)[-1]) + for wheel in package.wheels + ), + None, + ) + if best_wheel: + yield package, best_wheel + elif package.sdist is not None: + yield package, package.sdist + else: + raise PylockSelectError( + f"No wheel found matching the provided tags " + f"for package {package.name!r} " + f"at packages[{package_index}], " + f"and no sdist available as a fallback" + ) + + # - Else if no :ref:`pylock-packages-wheels` file is found or + # :ref:`pylock-packages-sdist` is solely set: + elif package.sdist is not None: + yield package, package.sdist + + else: + # Covered by lock.validate() which is a precondition for this method. + raise NotImplementedError # pragma: no cover diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/ranges.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/ranges.py new file mode 100644 index 0000000000000000000000000000000000000000..8144a65c4d2ea0b9f9946d795e556221ca9b9438 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/ranges.py @@ -0,0 +1,2067 @@ +# This file is dual licensed under the terms of the Apache License, Version +# 2.0, and the BSD License. See the LICENSE file in the root of this repository +# for complete details. +"""Public :class:`VersionRange` API. + +A set-algebra view of the versions accepted by a +:class:`~packaging.specifiers.SpecifierSet`. Ranges support intersection, +union, complement, and difference; membership and filtering match the +originating specifier set; and conversion back to a +:class:`~packaging.specifiers.SpecifierSet` is available where a PEP 440 form +exists. + +.. testsetup:: + + from packaging.ranges import VersionRange + from packaging.specifiers import SpecifierSet + from packaging.version import Version +""" + +from __future__ import annotations + +import enum +import typing +from typing import ( + TYPE_CHECKING, + Any, + TypeVar, + Union, +) + +from ._ranges import ( + FULL_RANGE, + MIN_VERSION, + NEG_INF, + POS_INF, + BoundaryKind, + BoundaryVersion, + LowerBound, + UpperBound, + coerce_version, + filter_by_ranges, + intersect_ranges, + least_version_above, + matches_bounds_only, + range_is_empty, + ranges_are_prerelease_only, + trim_release, +) +from .version import Version + +if TYPE_CHECKING: + from collections.abc import Callable, Iterable, Iterator, Sequence + + from ._ranges import Interval + from .specifiers import SpecifierSet + + +__all__ = ["VersionRange"] + +T = TypeVar("T") +UnparsedVersion = Union[Version, str] +UnparsedVersionVar = TypeVar("UnparsedVersionVar", bound=UnparsedVersion) + +#: The most ``!=`` exclusion fragments (``!=V`` points or ``!=P.*`` prefixes) +#: that :meth:`VersionRange.to_specifier_set` will materialize to spell a +#: single gap or run. Every site that expands a version-number-driven chain +#: charges it against this cap, and chains that spell one gap together share +#: it (see :func:`_decompose_dev0_gap` and :func:`_encode_gap`), +#: so no gap ever materializes more than this many exclusions. Past the cap +#: the recovery returns ``None`` rather than emit the unbounded chain a range +#: such as ``==5.* | ==1000000.*`` would otherwise drive. +_MAX_EXCLUSION_RUN = 128 + + +class _SetOp(enum.Enum): + """The binary set operation ``_combine_literals`` resolves over ``===`` literals.""" + + INTERSECTION = enum.auto() + UNION = enum.auto() + DIFFERENCE = enum.auto() + + +def __dir__() -> list[str]: + return __all__ + + +# Range algebra: intersection and the empty-interval test live in the engine +# (``intersect_ranges`` / ``range_is_empty``); union and complement are only +# needed here, so they live in this module. + + +def _union_ranges( + left: Sequence[Interval], + right: Sequence[Interval], +) -> list[Interval]: + """Union two sorted, non-overlapping interval lists. + + A linear merge over the two pre-sorted inputs followed by a single + coalescing pass: adjacent or overlapping intervals collapse so the result + is itself sorted and non-overlapping. + """ + if not left: + return list(right) + if not right: + return list(left) + + merged_input: list[Interval] = [] + left_index = right_index = 0 + while left_index < len(left) and right_index < len(right): + if left[left_index][0] <= right[right_index][0]: + merged_input.append(left[left_index]) + left_index += 1 + else: + merged_input.append(right[right_index]) + right_index += 1 + merged_input.extend(left[left_index:]) + merged_input.extend(right[right_index:]) + + merged: list[Interval] = [merged_input[0]] + for lower, upper in merged_input[1:]: + prev_lower, prev_upper = merged[-1] + + if ( + prev_upper.version is None + or lower.version is None + or prev_upper.version > lower.version + ): + overlaps = True + elif prev_upper.version == lower.version: + overlaps = prev_upper.inclusive or lower.inclusive + else: + # An ordering gap may still hold no version when the two bounds + # straddle a synthetic boundary; merge across an empty gap to + # stay canonical. + gap_lower = LowerBound(prev_upper.version, not prev_upper.inclusive) + gap_upper = UpperBound(lower.version, not lower.inclusive) + overlaps = range_is_empty(gap_lower, gap_upper) + + if overlaps: + merged[-1] = (prev_lower, max(prev_upper, upper)) + else: + merged.append((lower, upper)) + + return merged + + +def _complement_ranges(ranges: Sequence[Interval]) -> list[Interval]: + """Complement a sorted, non-overlapping interval list. + + Yields the gaps between intervals plus a leading gap before the first and + a trailing gap after the last. Bound inclusivity flips so that + complement-of-complement round-trips back to the input. + """ + if not ranges: + return list(FULL_RANGE) + + result: list[Interval] = [] + prev_upper: UpperBound | None = None + + for lower, upper in ranges: + if prev_upper is None: + # Leading gap below the first interval. Every range reaching here is + # floor-canonical: ``_canonical_floor`` has already folded an + # inclusive lower at or below ``0.dev0`` into ``-inf``. So a finite + # first lower always leaves a non-empty gap down to ``-inf``, while a + # ``-inf`` lower leaves no leading gap at all. + if lower.version is not None: + gap_upper = UpperBound(lower.version, not lower.inclusive) + result.append((NEG_INF, gap_upper)) + else: + gap_lower = LowerBound(prev_upper.version, not prev_upper.inclusive) + gap_upper = UpperBound(lower.version, not lower.inclusive) + # Input intervals are canonical (sorted, disjoint, non-touching), + # so the gap between two of them always holds at least one version. + result.append((gap_lower, gap_upper)) + prev_upper = upper + + # The empty-input early return guarantees the loop ran. + assert prev_upper is not None + if prev_upper.version is not None: + gap_lower = LowerBound(prev_upper.version, not prev_upper.inclusive) + result.append((gap_lower, POS_INF)) + + return result + + +def _canonical_floor(bounds: tuple[Interval, ...]) -> tuple[Interval, ...]: + """Collapse the PEP 440 floor in a sorted interval list. + + Only the first interval can touch ``0.dev0`` (the minimum version). An + inclusive lower at or below it admits everything below, the same as + ``-inf``, so ``>=0.dev0`` becomes the one canonical full range. An + exclusive upper at or below it leaves the interval empty, so it is dropped. + """ + if not bounds: + return bounds + + lower, upper = bounds[0] + if range_is_empty(NEG_INF, upper): + return bounds[1:] + + if ( + lower.inclusive + and isinstance(lower.version, Version) + and lower.version <= MIN_VERSION + ): + return ((NEG_INF, upper), *bounds[1:]) + + return bounds + + +def _predecessor_boundary(version: Version) -> BoundaryVersion | None: + """The boundary whose least successor is *version*, or ``None``. + + Inverse of :func:`~packaging._ranges.least_version_above`. A plain version + that is exactly such a successor (``1.0a2.dev0`` sits just above + ``AFTER_POSTS(1.0a1)``) folds back to that boundary, so ``>=1.0a2.dev0`` and + ``>1.0a1`` share one form. The proposed boundary is confirmed by + round-tripping through ``least_version_above``. + """ + # Only a least successor carries a dev segment, so nothing else can fold. + if version.dev is None: + return None + + candidate: BoundaryVersion | None = None + if version.pre is not None and version.dev == 0 and version.post is None: + # 1.0a2.dev0 -> AFTER_POSTS(1.0a1) + kind, number = version.pre + if number >= 1: + candidate = BoundaryVersion( + version.__replace__(pre=(kind, number - 1), dev=None), + BoundaryKind.AFTER_POSTS, + ) + elif version.dev >= 1: + # 1.0.dev3 -> AFTER_LOCALS(1.0.dev2) + candidate = BoundaryVersion( + version.__replace__(dev=version.dev - 1), BoundaryKind.AFTER_LOCALS + ) + elif version.dev == 0 and version.post is not None: + # 1.0.post1.dev0 -> AFTER_LOCALS(1.0.post0); 1.0.post0.dev0 -> AFTER_LOCALS(1.0) + base = ( + version.__replace__(post=None, dev=None) + if version.post == 0 + else version.__replace__(post=version.post - 1, dev=None) + ) + candidate = BoundaryVersion(base, BoundaryKind.AFTER_LOCALS) + + if candidate is not None and least_version_above(candidate) == version: + return candidate + return None + + +def _canonicalize(bounds: tuple[Interval, ...]) -> tuple[Interval, ...]: + """Fold least-successor bounds to their boundary form. + + ``>=1.0a2.dev0`` and ``>1.0a1`` denote the same set, so both must reduce to + one representation for ``==`` and ``hash`` to agree. An inclusive lower or + exclusive upper sitting on a boundary's least successor becomes that + boundary; the engine's emptiness check has already dropped the synthetic + gaps such intervals would otherwise leave. + """ + result: list[Interval] = [] + for lower, upper in bounds: + new_lower, new_upper = lower, upper + + if isinstance(lower.version, Version) and lower.inclusive: + boundary = _predecessor_boundary(lower.version) + if boundary is not None: + new_lower = LowerBound(boundary, inclusive=False) + + if isinstance(upper.version, Version) and not upper.inclusive: + boundary = _predecessor_boundary(upper.version) + if boundary is not None: + new_upper = UpperBound(boundary, inclusive=True) + + result.append((new_lower, new_upper)) + return tuple(result) + + +def _struct_admits( + bounds: tuple[Interval, ...], admit_arbitrary: bool, literal: str +) -> bool: + """True when the bounds (plus arbitrary admission) admit ``literal``. + + Skips the explicit admit/reject sets, which the caller layers on top. A + non-version string matches via ``admit_arbitrary`` only on full bounds; + on narrower bounds the flag is metadata only. + """ + parsed = coerce_version(literal) + if parsed is None: + return admit_arbitrary and bounds == FULL_RANGE + + return matches_bounds_only(bounds, parsed) + + +# Repr helpers: + + +def _bound_version_str(value: BoundaryVersion | Version) -> str: + """Printout for a bound's inner value, kind-tagged for boundaries.""" + if isinstance(value, BoundaryVersion): + return f"{value.version}[{value.kind.name}]" + return str(value) + + +def _format_lower(bound: LowerBound) -> str: + if bound.version is None: + return "(-inf" + bracket = "[" if bound.inclusive else "(" + return f"{bracket}{_bound_version_str(bound.version)}" + + +def _format_upper(bound: UpperBound) -> str: + if bound.version is None: + return "+inf)" + bracket = "]" if bound.inclusive else ")" + return f"{_bound_version_str(bound.version)}{bracket}" + + +def _format_intervals(intervals: Sequence[Interval]) -> str: + """Render a sorted interval list as ``lower, upper | lower, upper``.""" + return " | ".join( + f"{_format_lower(lower)}, {_format_upper(upper)}" for lower, upper in intervals + ) + + +# ``to_specifier_set`` recovery: encode a range's interval list back into +# specifier fragments. Each helper returns ``None`` when its shape has no +# PEP 440 form. The ``keep_dev0`` argument threaded through is a spelling +# mode, not a pre-release policy: false emits a prerelease-free form (no +# synthetic ``.dev0``, so the recovered range has an empty opt-in region), +# true keeps the ``.dev0`` markers (so the range opts its bounds in). +# ``to_specifier_set`` encodes in both modes and keeps whichever round-trips. +# +# Bound and interval encoding: turn one interval's bounds into fragments. + + +def _is_dev0_version(version: Version) -> bool: + """True when version is exactly ``X[.Y]*.dev0`` (the shape `` list[str] | None: + """A prerelease-free spelling for an inclusive ``[version`` lower, or ``None``. + + Several ``[V`` lowers come from an operator whose own spelling carries no + synthetic ``.dev0``. Recovering that spelling gives the range an empty opt-in + region, so it is offered in the prerelease-free spelling mode (see + :meth:`VersionRange.to_specifier_set`). + """ + if version.dev != 0 or version.pre is not None or version.local is not None: + return None + + # ``[B.post(k).dev0`` is the lower ``>B.post(k-1)`` builds (k >= 1). + if version.post is not None: + if version.post < 1: + return None + return [f">{version.__replace__(post=version.post - 1, dev=None)}"] + + # ``[F.dev0`` is family F's base. The prefix P just below F has + # ``==P.* == [P.dev0, F.dev0)``, so ``>=P,!=P.*`` lands exactly on ``[F.dev0``. + family = trim_release(version.release) + last = family[-1] + if last < 1: + return None + + below_release = (*family[:-1], last - 1) + below = Version.from_parts(epoch=version.epoch, release=below_release) + + # At the epoch-0 floor ``==P.*`` already reaches ``0.dev0``, so the ``>=P`` + # half is redundant: ``[1.dev0, +inf)`` is plain ``!=0.*``. + if version.epoch == 0 and not any(below_release): + return [f"!={below}.*"] + + return [f">={below}", f"!={below}.*"] + + +def _epoch_floor_lower( + lower: LowerBound, upper: UpperBound +) -> tuple[Version, int, bool] | None: + """The ``E!0`` family of a lower sitting on an epoch>0 zero-family floor. + + An epoch>0 zero-family base such as ``1!0.dev0`` has no ``>=P,!=P.*`` spelling + since no version sorts below ``E!0`` within the epoch. While the interval + stays within ``==E!0.*`` it is that wildcard, trimmed by the upper and with a + leading ``.dev`` run excluded: an ``AFTER_LOCALS(E!0.dev(k))`` lower drops + ``E!0.dev0..E!0.dev(k)``, a plain inclusive ``E!0.dev0`` lower drops none. + Returns the ``E!0`` family, how many leading ``.dev`` releases to exclude, and + whether the upper sits at the family cap (so ``==E!0.*`` needs no upper), else + ``None``. + """ + version = lower.version + if isinstance(version, BoundaryVersion): + if version.kind != BoundaryKind.AFTER_LOCALS: + return None + version = version.version + if version.dev is None: + return None + excluded_devs = version.dev + 1 + elif isinstance(version, Version) and lower.inclusive: + # A plain inclusive lower only reaches the floor as ``>=E!0.dev0``; + # higher ``.dev`` would have canonicalized to an AFTER_LOCALS boundary. + if version.dev != 0: + return None + excluded_devs = 0 + else: + return None + + # Only the bare ``E!0`` floor of a non-zero epoch qualifies. + if version.epoch == 0: + return None + if version.pre is not None or version.post is not None or version.local is not None: + return None + if any(trim_release(version.release)): + return None + + # ``==E!0.*`` spans ``[E!0.dev0, E!1.dev0)``; it fits only below that cap. + next_family = Version.from_parts(epoch=version.epoch, release=(1,), dev=0) + cap = UpperBound(next_family, False) + if upper > cap: + return None + + family = Version.from_parts(epoch=version.epoch, release=(0,)) + return family, excluded_devs, upper == cap + + +def _dev_family_anchor(family: Version) -> list[str] | None: + """Prerelease-free fragments for ``[family, ..)``, or ``None`` if it has none. + + ``family`` is an ``X.dev0``. The floor gives ``[]`` (every version); a release + base its ``_clean_lower`` family-floor spelling (``!=0.*`` ...); an ``X.post0`` + base ``>=X,!=X``. A pre-release base has no prerelease-free spelling. + """ + if family <= MIN_VERSION: + return [] + clean = _clean_lower(family) + if clean is not None: + return clean + if family.pre is None and family.post == 0: + base = family.__replace__(post=None, dev=None) + return [f">={base}", f"!={base}"] + return None + + +def _encode_lower(lower: LowerBound, keep_dev0: bool) -> list[str] | None: + """Encode a lower bound as specifier fragments, or ``None``. + + ``[]`` for ``-inf``. An ``AFTER_POSTS(V)`` lower is ``>V``. An + ``AFTER_LOCALS(V)`` lower is the set ``[successor, ..)`` and emits ``>=V,!=V``, + except in the prerelease-free spelling mode (``keep_dev0`` false), where it + recovers a spelling with no synthetic ``.dev0`` when one exists: + ``>3.8.post1`` for a post release, or a dev family's anchor plus the dev run + up to V for a ``.dev`` release. + """ + lower_version = lower.version + if lower_version is None: + return [] + + if isinstance(lower_version, BoundaryVersion): + if lower_version.kind == BoundaryKind.AFTER_POSTS: + # AFTER_POSTS only ever appears as an exclusive ``>V`` lower. + return [f">{lower_version.version}"] + inner = lower_version.version + if inner <= MIN_VERSION: + # The ``(-inf, V)`` side was dropped at the floor, so the lone + # ``(AFTER_LOCALS(0.dev0), +inf)`` interval is exactly ``!=0.dev0``. + return [f"!={inner}"] + # An ``(AFTER_LOCALS(V), ..)`` lower is the set ``[successor, ..)``. In + # the prerelease-free mode, recover a spelling with no synthetic ``.dev0`` + # so the range's opt-in region stays empty. + if not keep_dev0: + if inner.dev is not None: + # A ``.dev`` V makes ``[successor, ..)`` its dev family's + # prerelease-free anchor minus the finite dev run up to ``V`` + # (e.g. ``>=1.0,!=1.0,!=1.0.post0.dev0``), carrying no synthetic + # ``.dev0``. + family = inner.__replace__(dev=0) + anchor = _dev_family_anchor(family) + if anchor is not None: + if inner.dev + 1 > _MAX_EXCLUSION_RUN: + return None + run = [ + f"!={family.__replace__(dev=d)}" for d in range(inner.dev + 1) + ] + return anchor + run + else: + # A ``.post`` release recovers its prerelease-free ``>`` spelling + # from the successor (``>3.8.post1`` for ``AFTER_LOCALS(3.8.post1)``). + successor = least_version_above(lower_version) + clean = _clean_lower(successor) if successor is not None else None + if clean is not None: + return clean + # Otherwise it is ``[V, ..)`` minus V's local family, i.e. ``>=V,!=V``. + # The prerelease-free recoveries above have already returned in that mode; + # a residual ``.dev`` V here opts pre-releases in, so this spelling round + # trips only for a range whose opt-in region wants it. + return [f">={inner}", f"!={inner}"] + + if not lower.inclusive: + return None + + # In the prerelease-free mode a ``.dev0`` lower prefers its clean spelling. + if not keep_dev0: + clean = _clean_lower(lower_version) + if clean is not None: + return clean + return [f">={lower_version}"] + + +def _encode_upper(upper: UpperBound, keep_dev0: bool) -> list[str] | None: + """Encode an upper bound as specifier fragments, or ``None``. + + ``[]`` for ``+inf``. In the prerelease-free spelling mode (``keep_dev0`` + false) the `` Version | None: + """If ``[lower, upper)`` is the ``==V.*`` shape, return ``V``.""" + if isinstance(lower.version, BoundaryVersion) or isinstance( + upper.version, BoundaryVersion + ): + return None + if lower.version is None or upper.version is None: + return None + if not lower.inclusive or upper.inclusive: + return None + if not (_is_dev0_version(lower.version) and _is_dev0_version(upper.version)): + return None + if lower.version.epoch != upper.version.epoch: + return None + + lower_release = trim_release(lower.version.release) + upper_release = trim_release(upper.version.release) + padded_length = max(len(lower_release), len(upper_release)) + assert padded_length > 0 + lower_release += (0,) * (padded_length - len(lower_release)) + upper_release += (0,) * (padded_length - len(upper_release)) + + if lower_release[:-1] != upper_release[:-1]: + return None + + # A genuine ``==V.*`` spans one family: the upper is exactly the next prefix. + # A wider span like ``[3.8.dev0, 3.14.dev0)`` shares the prefix but is not a + # single wildcard, so it falls through to the generic ``>=...,<...`` form. + if upper_release[-1] != lower_release[-1] + 1: + return None + + return lower.version.__replace__(release=lower_release, dev=None) + + +def _encode_interval( + lower: LowerBound, upper: UpperBound, keep_dev0: bool +) -> list[str] | None: + """Encode one interval as specifier fragments, or ``None``. + + Special-cases the ``==V`` singleton (``[V, AFTER_LOCALS(V)]`` for a plain + ``V``, and ``[V+local, V+local]`` for a local one) and the ``==V.*`` shape + so the fragment is one equality rather than a bound pair. + """ + # ``[V+local, V+local]`` (an inclusive local point) is the singleton ``==V+local``. + if ( + lower.version is not None + and upper.version is not None + and not isinstance(lower.version, BoundaryVersion) + and not isinstance(upper.version, BoundaryVersion) + and lower.inclusive + and upper.inclusive + and lower.version == upper.version + and lower.version.local is not None + ): + return [f"=={lower.version}"] + + # ``[V, AFTER_LOCALS(V)]`` (V without a local) is the singleton ``==V``, + # which also matches V's local family: one equality, not ``>=V,<=V``. + if ( + isinstance(lower.version, Version) + and lower.inclusive + and upper.inclusive + and isinstance(upper.version, BoundaryVersion) + and upper.version.kind == BoundaryKind.AFTER_LOCALS + and upper.version.version == lower.version + ): + return [f"=={lower.version}"] + + wildcard = _detect_equal_wildcard(lower, upper) + if wildcard is not None: + return [f"=={wildcard}.*"] + + # A ``[E!0.dev0`` lower has no prerelease-free ``>=`` spelling; within its own + # family it is ``==E!0.*`` trimmed by the upper. + floor = _epoch_floor_lower(lower, upper) if not keep_dev0 else None + if floor is not None: + family, excluded_devs, upper_at_cap = floor + if excluded_devs > _MAX_EXCLUSION_RUN: + return None + parts = [f"=={family}.*"] + parts.extend(f"!={family.__replace__(dev=d)}" for d in range(excluded_devs)) + + # ``==E!0.*`` already caps at the next family; add the upper only if tighter. + if not upper_at_cap: + upper_parts = _encode_upper(upper, keep_dev0) + if upper_parts is None: + return None + parts.extend(upper_parts) + + return parts + + lower_parts = _encode_lower(lower, keep_dev0) + if lower_parts is None: + return None + + upper_parts = _encode_upper(upper, keep_dev0) + if upper_parts is None: + return None + + return lower_parts + upper_parts + + +# Gap encoding: spell the gap between two adjacent intervals as exclusions. + + +def _detect_not_equal( + left_upper: UpperBound, right_lower: LowerBound +) -> list[Version] | None: + """If the gap between two intervals is a ``!=V`` chain, list its points. + + A plain exclusive left upper names the first excluded V directly; an inclusive + boundary left upper names it via its least successor. Adjacent exclusions + (``V`` and its immediate successors) share a single gap spanning a contiguous + dev run, so one gap can name a short chain: ``!=1.0,!=1.0.post0.dev0`` is one + gap from ``1.0`` up to ``AFTER_LOCALS(1.0.post0.dev0)``. + """ + if isinstance(left_upper.version, BoundaryVersion): + # A boundary upper is always inclusive; its least successor is the first + # excluded V (``None`` for a final AFTER_POSTS, which names no point). + first = least_version_above(left_upper.version) + if first is None: + return None + elif left_upper.version is None or left_upper.inclusive: + return None + else: + first = left_upper.version + + if not isinstance(right_lower.version, BoundaryVersion): + if ( + right_lower.version is not None + and not right_lower.inclusive + and right_lower.version == first + and first.local is not None + ): + return [first] + return None + + if right_lower.version.kind != BoundaryKind.AFTER_LOCALS: + return None + + # The right interval resumes just above the last excluded V and its locals. + last = right_lower.version.version + if first == last: + return [first] + + # Adjacent exclusions: the successor of ``first`` opens a ``.dev`` family and + # every later point is a higher ``.dev`` in that same family, so the gap is + # exactly ``first`` plus a contiguous dev run up to ``last``. Any other gap + # (e.g. ``2.3`` to ``AFTER_LOCALS(2.7)`` from complementing ``>=2.3,<=2.7``) + # spans a whole interval and fails this test. + second = least_version_above(BoundaryVersion(first, BoundaryKind.AFTER_LOCALS)) + if ( + second is not None + and second.dev is not None + and last.dev is not None + and last.dev >= second.dev + and last.__replace__(dev=second.dev) == second + ): + # ``first`` and the run spell this gap together, so they share the cap. + if last.dev - second.dev + 2 > _MAX_EXCLUSION_RUN: + return None + run = (second.__replace__(dev=d) for d in range(second.dev, last.dev + 1)) + return [first, *run] + return None + + +def _decompose_dev0_gap( + lower_trim: tuple[int, ...], + upper_trim: tuple[int, ...], + epoch: int, + budget: int = _MAX_EXCLUSION_RUN, +) -> list[Version] | None: + """Decompose the gap ``[L.dev0, U.dev0)`` into wildcard prefixes. + + ``lower_trim``/``upper_trim`` are trimmed release tuples with + ``lower_trim < upper_trim`` lexicographically. The chain sweeps at the + first differing level. The gap is undecomposable when L has trailing + components below that level (the chain cannot escape L's subtree), or when + the chain, summed across levels, would exceed ``budget`` prefixes. + """ + diff = 0 + while ( + diff < len(lower_trim) + and diff < len(upper_trim) + and lower_trim[diff] == upper_trim[diff] + ): + diff += 1 + + if len(lower_trim) > diff + 1: + return None + + common = lower_trim[:diff] + lower_val = lower_trim[diff] if len(lower_trim) > diff else 0 + upper_val = upper_trim[diff] + + span = upper_val - lower_val + if span > budget: + return None + + fragments = [ + Version.from_parts(epoch=epoch, release=(*common, segment)) + for segment in range(lower_val, upper_val) + ] + + if len(upper_trim) == diff + 1: + return fragments + + # Recurse into the next release component, charging at least one to the budget + # per level (not just the span), so a run of zero-span levels (a release with + # many trailing components) exhausts the budget and returns None instead of + # recursing past the interpreter's stack limit. + tail = _decompose_dev0_gap( + (*common, upper_val), upper_trim, epoch, budget - max(span, 1) + ) + if tail is None: + return None + return fragments + tail + + +def _encode_gap(left_upper: UpperBound, right_lower: LowerBound) -> list[str] | None: + """Encode the gap between two adjacent intervals as ``!=`` fragments. + + A point chain becomes ``!=V`` fragments and a dev0 family span becomes + ``!=P.*`` prefixes, followed by a leading dev run in the last family when + the gap ends inside it. Any other gap has no exclusion form and returns + ``None``. + """ + # Cheapest first: a plain ``!=V`` chain never pays for the budgeted + # wildcard sweep below. + points = _detect_not_equal(left_upper, right_lower) + if points is not None: + return [f"!={point}" for point in points] + + # Both wildcard shapes start at an exclusive family base ``L.dev0``. + left_v = left_upper.version + if ( + not isinstance(left_v, Version) + or left_upper.inclusive + or not _is_dev0_version(left_v) + ): + return None + + right_v = right_lower.version + if isinstance(right_v, Version) and right_lower.inclusive: + # ``[L.dev0, U.dev0)`` is a pure ``!=P.*`` chain up to U's family. + upper_dev0 = right_v + run_length = 0 + budget = _MAX_EXCLUSION_RUN + elif ( + isinstance(right_v, BoundaryVersion) + and right_v.kind == BoundaryKind.AFTER_LOCALS + and not right_lower.inclusive + ): + # ``[L.dev0, AFTER_LOCALS(U.dev(k))]`` ends inside U's family: the + # ``!=P.*`` chain, then the ``U.dev0..U.dev(k)`` run. Both spell the + # gap together, so they share one ``_MAX_EXCLUSION_RUN`` budget. + upper = right_v.version + if upper.dev is None or upper.dev + 1 > _MAX_EXCLUSION_RUN: + return None + upper_dev0 = upper.__replace__(dev=0) + run_length = upper.dev + 1 + budget = _MAX_EXCLUSION_RUN - run_length + else: + return None + + # ``U`` must be a plain release base in L's epoch, above L. + # ``_is_dev0_version`` on ``U.dev0`` rejects any pre/post/local on ``U``. + if not _is_dev0_version(upper_dev0): + return None + if left_v.epoch != upper_dev0.epoch or left_v >= upper_dev0: + return None + + prefixes = _decompose_dev0_gap( + trim_release(left_v.release), + trim_release(upper_dev0.release), + left_v.epoch, + budget, + ) + if prefixes is None: + return None + + exclusions = [f"!={prefix}.*" for prefix in prefixes] + exclusions.extend(f"!={upper_dev0.__replace__(dev=d)}" for d in range(run_length)) + return exclusions + + +def _encode_gaps(bounds: Sequence[Interval]) -> list[str] | None: + """Encode every between-interval gap as ``!=`` fragments, or ``None``. + + When each gap has an exclusion spelling, the intervals fuse into one + contiguous span (``==1.* | ==3.*`` is ``!=0.*,!=2.*,<4``): the outer + interval across all the bounds plus these exclusions. A gap with no + exclusion spelling makes the bounds a disjoint union, which no single + set expresses. + """ + exclusions: list[str] = [] + + for index in range(1, len(bounds)): + gap = _encode_gap(bounds[index - 1][1], bounds[index][0]) + if gap is None: + return None + exclusions.extend(gap) + + return exclusions + + +def _tighten_no_prereleases(bounds: tuple[Interval, ...]) -> tuple[Interval, ...]: + """Snap the range's final upper out of the pre-release band ``False`` drops. + + An exclusive upper at a final ``V`` admits the versions in ``[V.dev0, V)`` at + the bounds level, but a ``prereleases=False`` policy filters them all out, so + it accepts the same releases as ``>> r = SpecifierSet(">=1.0,<2.0").to_range() + >>> "1.5" in r + True + >>> "2.0" in r + False + >>> SpecifierSet(">=2.0,<1.0").to_range().is_empty + True + + PEP 440's ``===`` operator matches a candidate string verbatim + (case-insensitive) rather than a set of versions. Ranges built from + ``===`` specifiers still support membership, set operations, and conversion + back to a :class:`~packaging.specifiers.SpecifierSet`; matching follows the + literal-equality rule. A ``===`` literal that names a pre-release is + admitted under the default policy by both :meth:`contains` and + :meth:`filter`, since it was named outright. + + .. versionadded:: 26.3 + """ + + __slots__ = ( + "_admit", + "_admit_arbitrary", + "_bounds", + "_pre_region", + "_prereleases_configured", + "_reject", + ) + + #: The disjoint, sorted, non-overlapping interval list. + _bounds: tuple[Interval, ...] + + #: Whether this range matches non-version strings as well as versions. + #: True only by construction on ``SpecifierSet("")`` / :meth:`full`. The flag + #: rides set algebra but is inert except at full bounds (see + #: :meth:`_arbitrary_active`). An intersection or difference that shrinks + #: the bounds drops it (``full() & ~full()`` is plain empty, and + #: ``full() - r == full() & ~r``); :meth:`complement` and a union of + #: empty-bounds operands keep it, so ``~~full() == full()`` and + #: ``~full() | ~full() == ~full()``. Part of equality, since membership + #: reads it. + _admit_arbitrary: bool + + #: Case-folded strings the range admits in addition to its bounds. + #: ``===wat`` produces ``_admit = {"wat"}``. + _admit: frozenset[str] + + #: Case-folded strings the range rejects (overrides ``_admit`` and the + #: bounds). Populated by :meth:`complement` of an admit-bearing range and by + #: literal resolution in :meth:`_combine_literals`. + _reject: frozenset[str] + + #: Sorted, disjoint intervals where pre-releases are force-admitted under + #: the PEP 440 default policy (a ``None`` ``prereleases`` argument and no + #: configured override). The opt-in flows only from the pre-release-naming + #: specifiers that built the range. :meth:`_build` clips the region to the + #: bounds, so it is always a subset of them: an opt-in that overflowed its + #: own cap cannot ride a later union into versions no specifier asked for. + #: :meth:`union` and :meth:`intersection` accumulate the operands' clipped + #: regions and re-clip to the result bounds; :meth:`difference` keeps only + #: the minuend's; and :meth:`complement` drops it, since an exclusion grants + #: no opt-in. Equality keys on the clipped region, so it stays a congruence. + _pre_region: tuple[Interval, ...] + + #: Raw configured pre-release override of the originating specifier set + #: (an explicit ``True`` / ``False``, else ``None``). When set, :meth:`_build` + #: forces ``_pre_region`` empty since the policy governs globally. + #: :meth:`intersection` and :meth:`union` require it to match on both + #: operands. Part of equality. + _prereleases_configured: bool | None + + def __new__(cls, *args: object, **kwargs: object) -> VersionRange: # noqa: PYI034 + raise TypeError( + "cannot create 'VersionRange' instances directly; use " + "SpecifierSet.to_range(), VersionRange.full(), " + "VersionRange.empty(), or VersionRange.singleton() instead" + ) + + @classmethod + def _build( + cls, + bounds: tuple[Interval, ...], + admit: frozenset[str] = frozenset(), + reject: frozenset[str] = frozenset(), + admit_arbitrary: bool = False, + *, + pre_region: tuple[Interval, ...] = (), + prereleases_configured: bool | None = None, + ) -> VersionRange: + """Internal factory; bypasses :meth:`__new__`. + + Canonicalizes the bounds so equal version sets share one representation, + then drops admit literals the bounds already admit and reject literals + the bounds do not match anyway. Reject wins over admit on overlap. The + pre-release policy is set here and never reassigned afterwards; + ``pre_region`` is canonicalized like the bounds and clipped to them, + or dropped when a configured policy makes it inert. + """ + bounds = _canonicalize(bounds) + + if admit and reject: + admit = admit - reject + if admit: + admit = frozenset( + literal + for literal in admit + if not _struct_admits(bounds, admit_arbitrary, literal) + ) + if reject: + reject = frozenset( + literal + for literal in reject + if _struct_admits(bounds, admit_arbitrary, literal) + ) + + instance = object.__new__(cls) + instance._bounds = bounds + instance._admit = admit + instance._reject = reject + instance._admit_arbitrary = admit_arbitrary + instance._prereleases_configured = prereleases_configured + + # A configured policy makes the region inert, so drop it. Otherwise fold + # least-successor bounds (_from_specifier_set passes the region unfolded), + # so ``>1.0a1`` and ``>=1.0a2.dev0`` carry the same region, then clip it + # to the bounds so the opt-in never reaches past the range's own versions. + if prereleases_configured is not None or not pre_region: + instance._pre_region = () + else: + instance._pre_region = tuple( + intersect_ranges(_canonicalize(pre_region), bounds) + ) + + return instance + + def _has_literals(self) -> bool: + return bool(self._admit) or bool(self._reject) + + def _arbitrary_active(self) -> bool: + """True when ``_admit_arbitrary`` actually admits non-version strings. + + The flag rides through set algebra but only fires admission on full + bounds. Intersection and difference drop it when the bounds shrink, so + away from full bounds it survives only on empty-bounds ranges, where + it keeps ``~~full() == full()`` and union idempotent. + """ + return self._admit_arbitrary and self._bounds == FULL_RANGE + + def _is_plain(self) -> bool: + """True when membership is decided by ``_bounds`` alone, enabling the + bounds-only fast paths in :meth:`is_subset` and :meth:`is_disjoint`. + """ + return ( + not self._has_literals() + and not self._admit_arbitrary + and self._prereleases_configured is not False + ) + + def _check_policy_compat(self, other: VersionRange) -> None: + """Refuse combining ranges with different pre-release policies.""" + if not isinstance(other, VersionRange): + raise TypeError(f"expected VersionRange, got {type(other).__name__}") + if self._prereleases_configured != other._prereleases_configured: + raise ValueError( + "Cannot combine VersionRange operands with different " + f"pre-release policies: {self._prereleases_configured!r} " + f"and {other._prereleases_configured!r}" + ) + + def _merged_region(self, other: VersionRange) -> tuple[Interval, ...]: + """Union of ``self`` and ``other``'s opt-in regions. + + Used by :meth:`union` and :meth:`intersection`; :meth:`_build` clips the + merge to the result bounds. A configured operand carries an empty region, + so it contributes nothing to the merge. + """ + # Reuse an operand's canonical tuple when only one side has a region; + # an empty side contributes nothing to the union. + if not other._pre_region: + return self._pre_region + if not self._pre_region: + return other._pre_region + + # Both sides carry a region; merge them. _build re-canonicalizes and + # clips, so the plain union is fine here. + return tuple(_union_ranges(self._pre_region, other._pre_region)) + + def _with_policy( + self, *, pre_region: tuple[Interval, ...], configured: bool | None + ) -> VersionRange: + """A structural copy of this range carrying the given pre-release policy.""" + return self._build( + self._bounds, + admit=self._admit, + reject=self._reject, + admit_arbitrary=self._admit_arbitrary, + pre_region=pre_region, + prereleases_configured=configured, + ) + + @classmethod + def empty(cls, *, prereleases: bool | None = None) -> VersionRange: + """Return the empty range. No version satisfies it. + + >>> VersionRange.empty().is_empty + True + >>> "1.0" in VersionRange.empty() + False + """ + return cls._build((), prereleases_configured=prereleases) + + @classmethod + def full( + cls, *, admit_arbitrary: bool = True, prereleases: bool | None = None + ) -> VersionRange: + """Return the full range. Every PEP 440 version satisfies it. + + ``admit_arbitrary=False`` restricts the range to PEP 440 versions only + (matching the same versions as ``SpecifierSet(">=0.dev0").to_range()``); + its complement is :meth:`empty`. The flag propagates through set algebra + and is part of equality. Default ``True`` so that ``r & full()`` + preserves ``r``'s own flag structurally. + + >>> "1.0" in VersionRange.full() + True + >>> "wat" in VersionRange.full() + True + >>> "wat" in VersionRange.full(admit_arbitrary=False) + False + """ + return cls._build( + FULL_RANGE, + admit_arbitrary=admit_arbitrary, + prereleases_configured=prereleases, + ) + + @classmethod + def singleton( + cls, version: Version | str, *, prereleases: bool | None = None + ) -> VersionRange: + """Return the strict singleton range ``{version}``. + + Built as the closed interval ``[version, version]`` with strict + equality. ``Specifier("==V")`` matches ``V+local`` too, so the strict + singleton is narrower: + + >>> "1.0+local" in VersionRange.singleton("1.0") + False + >>> "1.0+local" in SpecifierSet("==1.0").to_range() + True + + :raises packaging.version.InvalidVersion: if version is a string that + does not parse as a PEP 440 version. + """ + if not isinstance(version, Version): + version = Version(version) + + lower = LowerBound(version, True) + upper = UpperBound(version, True) + + # Collapse the floor: nothing sorts below ``MIN_VERSION``, so the + # ``0.dev0`` singleton is ``(-inf, 0.dev0]`` in canonical form. + return cls._build( + _canonical_floor(((lower, upper),)), + prereleases_configured=prereleases, + ) + + def intersection(self, other: VersionRange) -> VersionRange: + """Range containing exactly the versions in both self and other. + + Both operands must share the same configured pre-release policy; + otherwise :exc:`ValueError` is raised. + + >>> a = SpecifierSet(">=1.0").to_range() + >>> b = SpecifierSet("<2.0").to_range() + >>> a.intersection(b) == SpecifierSet(">=1.0,<2.0").to_range() + True + """ + self._check_policy_compat(other) + + configured = self._prereleases_configured + new_bounds = tuple(intersect_ranges(self._bounds, other._bounds)) + new_region = self._merged_region(other) + + # An empty intersection (e.g. ``full() & ~full()``) is the empty range, + # so it drops the arbitrary flag, agreeing with difference when the + # subtrahend consumes the bounds. + combined_arb = ( + self._admit_arbitrary and other._admit_arbitrary and bool(new_bounds) + ) + + if not self._has_literals() and not other._has_literals(): + return self._build( + new_bounds, + admit_arbitrary=combined_arb, + pre_region=new_region, + prereleases_configured=configured, + ) + + return self._combine_literals( + other, + new_bounds, + op=_SetOp.INTERSECTION, + admit_arbitrary=combined_arb, + pre_region=new_region, + prereleases_configured=configured, + ) + + def union(self, other: VersionRange) -> VersionRange: + """Range containing every version in self or other. + + Both operands must share the same configured pre-release policy; + otherwise :exc:`ValueError` is raised. + + >>> a = VersionRange.singleton("1.0") + >>> b = VersionRange.singleton("2.0") + >>> "1.0" in a.union(b) and "2.0" in a.union(b) + True + >>> "1.5" in a.union(b) + False + """ + self._check_policy_compat(other) + + configured = self._prereleases_configured + new_bounds = tuple(_union_ranges(self._bounds, other._bounds)) + new_region = self._merged_region(other) + + # An empty-bounds operand (e.g. ``~full()``) carries an inert arbitrary + # flag only to keep complement an involution; it admits nothing, so it + # must not revive arbitrary admission as the union re-widens the bounds. + if new_bounds: + combined_arb = (self._admit_arbitrary and bool(self._bounds)) or ( + other._admit_arbitrary and bool(other._bounds) + ) + else: + # Nothing widened, so keeping the flags keeps ``r | r == r``. + combined_arb = self._admit_arbitrary or other._admit_arbitrary + + if not self._has_literals() and not other._has_literals(): + return self._build( + new_bounds, + admit_arbitrary=combined_arb, + pre_region=new_region, + prereleases_configured=configured, + ) + + return self._combine_literals( + other, + new_bounds, + op=_SetOp.UNION, + admit_arbitrary=combined_arb, + pre_region=new_region, + prereleases_configured=configured, + ) + + def complement(self) -> VersionRange: + """Range containing every version not in self. + + Preserves the configured pre-release policy. On the version set, double + negation holds for a range with no ``===`` literals (the arbitrary-string + flag round-trips, so ``~~full() == full()``); for ``===`` ranges + complement is one-way. The opt-in region is not restored (see below). + + The opt-in region is dropped: a complement is an exclusion, and an + exclusion expresses no pre-release preference. This is what lets + ``a & ~b`` shed ``b``'s opt-in, so an excluded ``b`` never force-admits a + pre-release into the result. Complement stays involutive on the version + set, but not on the opt-in region: ``~~r`` covers the same versions as + ``r`` yet force-admits none of its pre-releases. + + >>> r = SpecifierSet(">=1.0").to_range() + >>> "0.5" in r.complement() + True + >>> "1.5" in r.complement() + False + >>> r.complement().complement() == r + True + """ + # Complement swaps literal admission: what the range rejects, its + # complement admits. + return self._build( + tuple(_complement_ranges(self._bounds)), + admit=self._reject, + reject=self._admit, + admit_arbitrary=self._admit_arbitrary, + pre_region=(), + prereleases_configured=self._prereleases_configured, + ) + + def difference(self, other: VersionRange) -> VersionRange: + """Range containing the versions in self but not in other. + + Matches ``self & ~other`` on the version set and the opt-in region; + ``other`` acts as a bounds-only exclusion that grants no opt-in. The + arbitrary-string flag survives only when ``other`` removed no versions: + a difference that shrinks the bounds forgets it, as ``self & ~other`` + would, so no later widening union can revive it. They still part on + ``===`` literals, whose complement is one-way: a ``===`` literal stays + when ``self`` admits it and ``other`` does not. Both operands must + share the same configured pre-release policy (as :meth:`intersection` + and :meth:`union` require); otherwise :exc:`ValueError` is raised. + ``a - empty()`` returns a range equal to ``a``. + + >>> a = SpecifierSet(">=1.0").to_range() + >>> b = SpecifierSet(">=2.0").to_range() + >>> "1.5" in a.difference(b) + True + >>> "2.0" in a.difference(b) + False + >>> a.difference(VersionRange.empty()) == a + True + """ + self._check_policy_compat(other) + + # Subtracting a nothing-admitting set is a no-op; return self unchanged. + if not other._bounds and not other._admit: + return self + + # Bound complement is two-way, so subtracting other's versions is an + # intersection with its gaps. + new_bounds = tuple( + intersect_ranges(self._bounds, _complement_ranges(other._bounds)) + ) + + # Match ``self & ~other`` on the opt-in region: a complement carries no + # opt-in, so only ``self``'s region survives. ``other`` acts as a + # bounds-only exclusion. A configured ``self`` keeps no region. + new_region: tuple[Interval, ...] = () + if self._prereleases_configured is None: + new_region = self._pre_region + + # Keep self's arbitrary admission only when subtracting removed no + # versions. A difference that shrinks the bounds forgets the flag, as + # ``self & ~other`` would, so no later widening union can revive an + # admission neither operand had. + combined_arb = self._admit_arbitrary and new_bounds == self._bounds + + if not self._has_literals() and not other._has_literals(): + return self._build( + new_bounds, + admit_arbitrary=combined_arb, + pre_region=new_region, + prereleases_configured=self._prereleases_configured, + ) + + return self._combine_literals( + other, + new_bounds, + op=_SetOp.DIFFERENCE, + admit_arbitrary=combined_arb, + pre_region=new_region, + prereleases_configured=self._prereleases_configured, + ) + + def _combine_literals( + self, + other: VersionRange, + new_bounds: tuple[Interval, ...], + *, + op: _SetOp, + admit_arbitrary: bool, + pre_region: tuple[Interval, ...], + prereleases_configured: bool | None, + ) -> VersionRange: + """Resolve admit/reject for ``self`` ``op`` ``other`` over their literals.""" + admits: set[str] = set() + rejects: set[str] = set() + + # Each literal is decided independently of the others. + for literal in self._admit | self._reject | other._admit | other._reject: + self_in = self._matches_literal(literal) + other_in = other._matches_literal(literal) + + if op is _SetOp.INTERSECTION: + want = self_in and other_in + elif op is _SetOp.UNION: + want = self_in or other_in + else: + want = self_in and not other_in + + if want: + admits.add(literal) + else: + rejects.add(literal) + + return self._build( + new_bounds, + admit=frozenset(admits), + reject=frozenset(rejects), + admit_arbitrary=admit_arbitrary, + pre_region=pre_region, + prereleases_configured=prereleases_configured, + ) + + def _matches_literal(self, literal: str) -> bool: + """Whether literal (case-folded) matches this range's predicate.""" + if literal in self._reject: + return False + if literal in self._admit: + return True + + parsed = coerce_version(literal) + if parsed is None: + return self._arbitrary_active() + return matches_bounds_only(self._bounds, parsed) + + def __and__(self, other: object) -> VersionRange: + """Operator alias for :meth:`intersection`.""" + if not isinstance(other, VersionRange): + return NotImplemented + return self.intersection(other) + + def __or__(self, other: object) -> VersionRange: + """Operator alias for :meth:`union`.""" + if not isinstance(other, VersionRange): + return NotImplemented + return self.union(other) + + def __invert__(self) -> VersionRange: + """Operator alias for :meth:`complement`.""" + return self.complement() + + def __sub__(self, other: object) -> VersionRange: + """Operator alias for :meth:`difference`.""" + if not isinstance(other, VersionRange): + return NotImplemented + return self.difference(other) + + def is_subset(self, other: VersionRange) -> bool: + """Return whether every member of self is also a member of other. + + On versions and ``===`` literals this is + ``self.difference(other).is_empty``: subtracting other leaves nothing + behind. A live arbitrary admission (the flag at full bounds) is only a + subset of another live one. + + Both operands must share the same configured pre-release policy; + otherwise :exc:`ValueError` is raised. + + >>> inner = SpecifierSet(">=1.5,<1.8").to_range() + >>> outer = SpecifierSet(">=1.0,<2.0").to_range() + >>> inner.is_subset(outer) + True + >>> outer.is_subset(inner) + False + >>> VersionRange.empty().is_subset(outer) + True + """ + self._check_policy_compat(other) + + # A live arbitrary admission has non-version strings as members, which + # no bounds cover; only another live admission contains them. + if self._arbitrary_active() and not other._arbitrary_active(): + return False + + # Plain ranges: subset reduces to bounds containment, no algebra needed. + if self._is_plain() and other._is_plain(): + return not intersect_ranges(self._bounds, _complement_ranges(other._bounds)) + + # difference (unlike intersection with the one-way complement) resolves + # ``===`` literals against both operands, so it stays correct for them. + return self.difference(other).is_empty + + def is_superset(self, other: VersionRange) -> bool: + """Return whether every member of other is also a member of self. + + The mirror of :meth:`is_subset`: ``a.is_superset(b)`` is + ``b.is_subset(a)``. + + Both operands must share the same configured pre-release policy; + otherwise :exc:`ValueError` is raised. + + >>> outer = SpecifierSet(">=1.0,<2.0").to_range() + >>> outer.is_superset(SpecifierSet(">=1.5,<1.8").to_range()) + True + """ + # Type-guards a non-VersionRange other before delegating to is_subset. + self._check_policy_compat(other) + return other.is_subset(self) + + def is_disjoint(self, other: VersionRange) -> bool: + """Return whether self and other share no member. + + Equivalent to ``(self & other).is_empty``. + + Both operands must share the same configured pre-release policy; + otherwise :exc:`ValueError` is raised. + + >>> a = SpecifierSet(">=1.0,<2.0").to_range() + >>> a.is_disjoint(SpecifierSet(">=2.0,<3.0").to_range()) + True + >>> a.is_disjoint(SpecifierSet(">=1.5,<2.5").to_range()) + False + """ + self._check_policy_compat(other) + + # Plain ranges: disjointness is an empty bounds intersection. + if self._is_plain() and other._is_plain(): + return not intersect_ranges(self._bounds, other._bounds) + return self.intersection(other).is_empty + + def _same_releases(self, other: VersionRange) -> bool: + """Whether self and other admit the same non-pre-release versions. + + Used by :meth:`to_specifier_set` under a ``prereleases=False`` policy, + where pre-releases are unobservable: the symmetric difference is empty + exactly when the two ranges accept the same releases. Both operands + carry that policy, so the difference below reads emptiness through it. + """ + return self.difference(other).is_empty and other.difference(self).is_empty + + @typing.overload + def filter( + self, + iterable: Iterable[UnparsedVersionVar], + prereleases: bool | None = None, + key: None = ..., + ) -> Iterator[UnparsedVersionVar]: ... + + @typing.overload + def filter( + self, + iterable: Iterable[T], + prereleases: bool | None = None, + key: Callable[[T], UnparsedVersion] = ..., + ) -> Iterator[T]: ... + + def filter( + self, + iterable: Iterable[Any], + prereleases: bool | None = None, + key: Callable[[Any], Version | str] | None = None, + ) -> Iterator[Any]: + """Yield items from iterable whose version falls inside the range. + + With prereleases ``None`` the PEP 440 default applies: pre-releases are + buffered and only emitted if no final release in iterable is in range, + except that a pre-release inside the autodetected opt-in region, or named + outright by a ``===`` literal, is force-admitted in place (as + ``prereleases=True`` would yield it). A flushed buffer comes after + every in-place yield, so the output is not version-sorted. + + The signature mirrors + :meth:`~packaging.specifiers.SpecifierSet.filter`. + + >>> r = SpecifierSet(">=1.0,<2.0").to_range() + >>> list(r.filter(["0.9", "1.5", "2.0"])) + ['1.5'] + """ + region: tuple[Interval, ...] = () + if prereleases is None: + # The region applies only under the autodetect default; a configured + # policy governs instead (and then ``_pre_region`` is already empty). + prereleases = self._prereleases_configured + region = self._pre_region + + arbitrary_active = self._arbitrary_active() + if not self._admit and not self._reject and not arbitrary_active: + # A region spanning the whole bounds force-admits every in-bounds + # pre-release, i.e. ``prereleases=True``; take the cheaper no-buffer + # path. (Confined to this branch: the admission path orders arbitrary + # strings differently under True than under the region.) + if region and region == self._bounds: + return filter_by_ranges(self._bounds, iterable, key, True) + return filter_by_ranges(self._bounds, iterable, key, prereleases, region) + return self._filter_with_admission( + iterable, key, prereleases, arbitrary_active, region + ) + + def _filter_with_admission( + self, + iterable: Iterable[Any], + key: Callable[[Any], Version | str] | None, + prereleases: bool | None, + arbitrary_active: bool, + region: tuple[Interval, ...], + ) -> Iterator[Any]: + """Filter for ranges with admit/reject literals or live arbitrary + admission (including the universal ``SpecifierSet("")`` range).""" + admit_set = self._admit + reject_set = self._reject + + def admit(item: Any) -> tuple[bool, Version | None, bool]: # noqa: ANN401 + raw: Version | str = item if key is None else key(item) + raw_lower = str(raw).lower() + + if reject_set and raw_lower in reject_set: + return False, None, False + if admit_set and raw_lower in admit_set: + # An explicit ``===`` literal names this version outright. + return True, coerce_version(raw), True + + parsed = coerce_version(raw) + if parsed is None: + return arbitrary_active, None, False + if not matches_bounds_only(self._bounds, parsed): + return False, None, False + return True, parsed, False + + if prereleases is True: + for item in iterable: + ok, _, _ = admit(item) + if ok: + yield item + return + + if prereleases is False: + for item in iterable: + ok, parsed, _ = admit(item) + if not ok: + continue + if parsed is not None and parsed.is_prerelease: + continue + yield item + return + + # PEP 440 default: emit finals eagerly and buffer the other pre-releases, + # releasing the buffer only if no final ever matches. + all_nonfinal: list[Any] = [] + arbitrary_strings: list[Any] = [] + found_final = False + + for item in iterable: + ok, parsed, by_literal = admit(item) + if not ok: + continue + + if parsed is None: + if found_final: + yield item + else: + arbitrary_strings.append(item) + all_nonfinal.append(item) + continue + + if not parsed.is_prerelease: + if not found_final: + yield from arbitrary_strings + arbitrary_strings.clear() + found_final = True + yield item + continue + + # A pre-release is force-admitted when it is named outright by a + # ``===`` literal or falls in the opt-in region, as ``prereleases=True`` + # would yield it; otherwise the PEP 440 default buffers it. + if by_literal or (region and matches_bounds_only(region, parsed)): + yield item + continue + + if not found_final: + all_nonfinal.append(item) + + if not found_final: + yield from all_nonfinal + + @classmethod + def _from_specifier_set(cls, specifier_set: SpecifierSet) -> VersionRange: + """Build the range accepted by ``specifier_set``. + + Friend constructor for :meth:`~packaging.specifiers.SpecifierSet.to_range`. + The intersection of every specifier in the set: an empty set yields the + full range, an unsatisfiable set yields the empty range, and ``===`` + specifiers contribute literal-string admission. + """ + if not specifier_set: + result = cls.full() + elif not specifier_set._has_arbitrary: + result = cls._build( + bounds=_canonical_floor(tuple(specifier_set._get_ranges())) + ) + else: + result = cls.full() + for spec in specifier_set: + if spec.operator == "===": + operand = cls._build( + bounds=(), admit=frozenset({spec.version.lower()}) + ) + else: + operand = cls._build( + bounds=_canonical_floor(tuple(spec._to_ranges())) + ) + result = result.intersection(operand) + + # Each pre-release-naming specifier opts its own versions in; their union, + # clipped to the set's bounds by _build, is the region. Clipping refolds + # under intersection, so a set built directly equals one built by + # intersecting its specifiers one at a time. + region: list[Interval] = [] + if specifier_set._prereleases is None: # a configured policy has no region + for spec in specifier_set: + # ``===`` literals are not a range; filter force-admits them. + if spec.operator != "===" and spec.prereleases: + spec_bounds = _canonical_floor(tuple(spec._to_ranges())) + region = _union_ranges(region, spec_bounds) + + return result._with_policy( + pre_region=tuple(region), + configured=specifier_set._prereleases, + ) + + def to_specifier_set(self) -> SpecifierSet | None: + """Return a :class:`~packaging.specifiers.SpecifierSet` matching the same + versions as self, or ``None`` if no single set expresses it. + + PEP 440 has no syntax for the strict singleton ``{V}`` (an exclusive + plain-version bound), a disjoint union of two or more intervals, or a + partial pre-release opt-in region, so ranges built by set algebra often + return ``None``. A gap that takes more than ``_MAX_EXCLUSION_RUN`` + contiguous ``!=`` exclusions to spell returns ``None`` too, + rather than a pathologically long chain; reaching that cap takes either + set algebra or a specifier set that already spells the gap out with + over a hundred contiguous ``!=N.*`` exclusions. An empty range maps to + ``SpecifierSet("<0")``, unless it still carries the arbitrary-string + flag (which no set reproduces), and a full range that admits arbitrary + strings maps to ``SpecifierSet("")``. + + A range built from a :class:`~packaging.specifiers.SpecifierSet` + re-encodes, short of that exclusion cap. The result is the simplest + candidate whose own + :meth:`~packaging.specifiers.SpecifierSet.to_range` reproduces self + exactly (bounds, ``===`` literals, and the opt-in region are all part of + equality), so it filters the same versions. Two cases relax that + exactness without changing what is filtered: an empty range recovers as + the canonical empty range (same versions, none, but not self's bounds), + and under a ``prereleases=False`` policy the result need only match self's + releases, so ``(-inf, 3.14)`` recovers as the tighter ``<3.14`` rather + than ``!=3.14,<=3.14``. + + Each call encodes a handful of candidate spellings and keeps the + simplest one that verifies, where verifying means parsing the candidate + and round-tripping it through + :meth:`~packaging.specifiers.SpecifierSet.to_range`. The work grows + with the number of intervals and exclusions in the range, and the + result is not cached, so convert once and reuse the returned set rather + than converting per candidate version in a hot loop. + + >>> str(SpecifierSet(">=1.0,<2.0").to_range().to_specifier_set()) + '<2.0,>=1.0' + >>> str(SpecifierSet("==1.0").to_range().to_specifier_set()) + '==1.0' + >>> VersionRange.singleton("1.5").to_specifier_set() is None + True + """ + from .specifiers import InvalidSpecifier, SpecifierSet # noqa: PLC0415 + + configured = self._prereleases_configured + + if self._reject: + return None + if self._admit_arbitrary and self._bounds != FULL_RANGE: + return None + if self.is_empty: + # Every member-free spelling accepts the same versions (none), so the + # canonical ``<0`` stands in for all of them; a configured policy + # rides along it. + return SpecifierSet("<0", prereleases=configured) + + if not self._bounds: + # Pure ``===`` literals; only a single literal has a single-set form. + if len(self._admit) != 1: + return None + (literal,) = self._admit + bases = [f"==={literal}"] + elif self._admit: + # Bounds plus literals cannot be one set. + return None + elif self._bounds == FULL_RANGE: + bases = ["" if self._admit_arbitrary else ">=0.dev0"] + else: + # Under ``prereleases=False`` an exclusive final upper admits the same + # releases as ``=0.dev0`` floor restores a ``True`` opt-in that + # rode on a floor the clean encoding dropped (e.g. ``>=0.dev0,!=1.0``). + # It always recovers the whole bounds as the opt-in region, so it can + # only round-trip when self opts everything in. + add_floor = configured is None and self._pre_region == self._bounds + + # Keep the simplest candidate that recovers self. ``==`` compares bounds, + # literals, and the opt-in region, so a candidate that would filter + # differently, or an op-built range with no single-set form, is rejected + # below. Under ``prereleases=False`` a candidate need only match self's + # releases (policies never mix, so the excluded pre-releases are + # unobservable), which admits the tightened spellings above. + best: SpecifierSet | None = None + best_key = (0, 0) + + for base in bases: + candidates = [base] + if add_floor: + candidates.append(f"{base},>=0.dev0" if base else ">=0.dev0") + + for spec_str in candidates: + # A ``===`` literal can hold a comma (its arbitrary version + # excludes only whitespace, ``;`` and ``)``), which the set + # string splits on. Such a literal has no single specifier-set + # spelling, so drop the unparsable candidate and let the range + # fall through to ``None`` rather than raise. + try: + recovered = SpecifierSet(spec_str, prereleases=configured) + except InvalidSpecifier: + continue + # Fewest fragments, then shortest string. Rank before the round + # trip so a candidate that cannot beat the best skips the check + # (its ``==`` and, under ``False``, two ``difference`` calls). + key = (len(recovered), len(str(recovered))) + if best is not None and key >= best_key: + continue + + # Accept an exact round trip, or (under ``False``) one that only + # matches the releases the policy leaves observable. + candidate = recovered.to_range() + matches = candidate == self or ( + configured is False and self._same_releases(candidate) + ) + if matches: + best, best_key = recovered, key + + return best + + @property + def is_empty(self) -> bool: + """``True`` if no version or string satisfies this range. + + Agrees with :meth:`~packaging.specifiers.SpecifierSet.is_unsatisfiable`, + including the pre-release policy: a range whose only members are + pre-releases is empty when that policy excludes them. + + >>> SpecifierSet(">=2,<1").to_range().is_empty + True + >>> SpecifierSet(">=1,<2").to_range().is_empty + False + >>> SpecifierSet("==1.0a1", prereleases=False).to_range().is_empty + True + """ + # An arbitrary-string admission or a surviving ``===`` literal is a + # member; a literal that is a pre-release is dropped when the policy is. + if self._arbitrary_active(): + return False + + excludes_prereleases = self._prereleases_configured is False + for literal in self._admit: + if excludes_prereleases: + parsed = coerce_version(literal) + if parsed is not None and parsed.is_prerelease: + continue + return False + + if not self._bounds: + return True + + return excludes_prereleases and ranges_are_prerelease_only(self._bounds) + + def contains( + self, + item: Version | str, + prereleases: bool | None = None, + installed: bool | None = None, + ) -> bool: + """Return whether item is contained in this range. + + :param item: a version string or :class:`~packaging.version.Version`. + :param prereleases: whether to match pre-releases. ``None`` (default) + uses the range's own policy. + :param installed: when ``True``, accept a pre-release item even if the + range would not otherwise allow it. + + Unlike :meth:`filter`, this does not consult the autodetected pre-release + opt-in region; it reads only the configured policy. This mirrors + :meth:`~packaging.specifiers.SpecifierSet.contains` versus + :meth:`~packaging.specifiers.SpecifierSet.filter`. + + Unparsable strings do not match, except where the full + ``SpecifierSet`` would also match: the full range admits any string, + and a ``===`` range admits items equal to the literal + case-insensitively. + + >>> r = SpecifierSet(">=1.0,<2.0").to_range() + >>> r.contains("1.5") + True + >>> r.contains("2.0") + False + + :raises TypeError: if item is not a str or Version. + """ + if not isinstance(item, (str, Version)): + raise TypeError( + f"VersionRange.contains() expected str or Version, " + f"got {type(item).__name__}" + ) + + parsed: Version | None = item if isinstance(item, Version) else None + if installed and parsed is None: + parsed = coerce_version(item) + if installed and parsed is not None and parsed.is_prerelease: + prereleases = True + + effective_pre = ( + self._prereleases_configured if prereleases is None else prereleases + ) + + if self._admit or self._reject: + item_str = str(item).lower() + if item_str in self._reject: + return False + if item_str in self._admit: + if effective_pre is False: + literal_parsed = coerce_version(item_str) + if literal_parsed is not None and literal_parsed.is_prerelease: + return False + return True + + if not isinstance(item, Version): + if parsed is None: + parsed = coerce_version(item) + if parsed is None: + return self._arbitrary_active() + item = parsed + + if effective_pre is False and item.is_prerelease: + return False + return matches_bounds_only(self._bounds, item) + + def __contains__(self, item: Version | str) -> bool: + """Return whether item is contained in this range. + + Forwards to :meth:`contains` with default arguments. + + >>> "1.5" in SpecifierSet(">=1.0,<2.0").to_range() + True + """ + return self.contains(item) + + def __eq__(self, other: object) -> bool: + """Structural equality. + + Compares the bounds, the ``===`` admit/reject literals, the + arbitrary-string flag, the configured pre-release policy, and the + opt-in region, not just the version set. Keying on the region makes + equality a congruence (equal ranges stay equal under further operations), + so equal implies same :meth:`contains` and :meth:`filter`, but not the + converse: an empty range keeps the flag it was built with, so two empty + ranges need not be equal. + + Different specifiers for the same range fold to one canonical form: + + >>> SpecifierSet(">1.0a1").to_range() == SpecifierSet(">=1.0a2.dev0").to_range() + True + + The opt-in region is part of equality, so ``<=1.0`` (no pre-releases) and + ``<1.0.post0.dev0`` (autodetects a ``.dev`` opt-in) cover the same + versions yet compare unequal: + + >>> le, lt = SpecifierSet("<=1.0"), SpecifierSet("<1.0.post0.dev0") + >>> le.to_range() == lt.to_range() + False + + >>> r = SpecifierSet(">=1.0,<2.0").to_range() + >>> r == SpecifierSet(">=1.0,<2.0").to_range() + True + """ + if not isinstance(other, VersionRange): + return NotImplemented + return ( + self._bounds == other._bounds + and self._admit == other._admit + and self._reject == other._reject + and self._admit_arbitrary == other._admit_arbitrary + and self._prereleases_configured == other._prereleases_configured + and self._pre_region == other._pre_region + ) + + def __hash__(self) -> int: + return hash( + ( + self._bounds, + self._admit, + self._reject, + self._admit_arbitrary, + self._prereleases_configured, + self._pre_region, + ) + ) + + def __repr__(self) -> str: + """Human-readable representation for debugging. + + >>> SpecifierSet(">=1.0,<2.0").to_range() + + >>> SpecifierSet("").to_range() + + >>> SpecifierSet(">=2.0,<1.0").to_range() + + """ + # Body: the bounds and any ``===``-admitted literals. + parts: list[str] = [] + if self._bounds: + parts.append(_format_intervals(self._bounds)) + if self._admit: + parts.append("{" + ", ".join(sorted(self._admit)) + "}") + body = " | ".join(parts) if parts else "(empty)" + + # Rejected literals subtract from the body. + if self._reject: + body = f"{body} \\ {{{', '.join(sorted(self._reject))}}}" + + # Tail: the policy flags carried alongside the version set. + tail = "" + if self._admit_arbitrary: + tail += " arbitrary" + if self._prereleases_configured is not None: + tail += f" pre={self._prereleases_configured}" + if self._pre_region: + tail += f" pre-region={_format_intervals(self._pre_region)!r}" + + return f"<{self.__class__.__name__} {body!r}{tail}>" diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/requirements.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/requirements.py new file mode 100644 index 0000000000000000000000000000000000000000..adcc8adbb7459a27a30e866e992df019369ca33a --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/requirements.py @@ -0,0 +1,192 @@ +# This file is dual licensed under the terms of the Apache License, Version +# 2.0, and the BSD License. See the LICENSE file in the root of this repository +# for complete details. +from __future__ import annotations + +from typing import TYPE_CHECKING + +from ._parser import parse_requirement as _parse_requirement +from ._tokenizer import ParserSyntaxError +from .markers import Marker, _normalize_extra_values +from .specifiers import InvalidSpecifier, SpecifierSet +from .utils import canonicalize_name + +if TYPE_CHECKING: + from collections.abc import Iterator + +__all__ = [ + "InvalidRequirement", + "Requirement", +] + + +def __dir__() -> list[str]: + return __all__ + + +class InvalidRequirement(ValueError): + """ + An invalid requirement was found, users should refer to PEP 508. + + .. versionadded:: 16.1 + """ + + +class Requirement: + """Parse a requirement. + + Parse a given requirement string into its parts, such as name, specifier, + URL, and extras. Raises InvalidRequirement on a badly-formed requirement + string. + + .. versionadded:: 16.1 + + .. versionchanged:: 22.0 + Added equality (``__eq__``) and hashing (``__hash__``) so requirements + can be compared and stored in sets / dicts. + + .. versionchanged:: 23.2 + Equality and hashing began canonicalizing requirement names, so + requirements whose names differ only by normalization (e.g. + ``Requirement("Foo")`` vs ``Requirement("foo")``) now compare and hash + equal. + + Instances are safe to serialize with :mod:`pickle`. They use a stable + format so the same pickle can be loaded in future packaging releases. + + .. versionchanged:: 26.2 + + Added a stable pickle format. Pickles created with packaging 26.2+ can + be unpickled with future releases. Backward compatibility with pickles + from packaging < 26.2 is supported but may be removed in a future + release. + + .. versionchanged:: 26.3 + + The dedicated pickle support introduced in 26.2 did not preserve the + specifier's explicit :attr:`~packaging.specifiers.SpecifierSet.prereleases` + override; it is now included again. + + Equality and hashing normalize requirement names, extras, and + equivalent specifiers. The string representation still preserves the + parsed name and extras spelling. + """ + + # TODO: Can we test whether something is contained within a requirement? + # If so how do we do that? Do we need to test against the _name_ of + # the thing as well as the version? What about the markers? + # TODO: Can we normalize the name and extra name? + + __slots__ = ("extras", "marker", "name", "specifier", "url") + + def __init__(self, requirement_string: str) -> None: + try: + parsed = _parse_requirement(requirement_string) + except ParserSyntaxError as e: + raise InvalidRequirement(str(e)) from e + + self.name: str = parsed.name + self.url: str | None = parsed.url or None + self.extras: set[str] = set(parsed.extras) + try: + self.specifier: SpecifierSet = SpecifierSet(parsed.specifier) + except InvalidSpecifier as e: + raise InvalidRequirement(str(e)) from e + self.marker: Marker | None = None + if parsed.marker is not None: + self.marker = Marker.__new__(Marker) + self.marker._markers = _normalize_extra_values(parsed.marker) + + def _iter_parts(self, name: str) -> Iterator[str]: + yield name + + if self.extras: + formatted_extras = ",".join(sorted(self.extras)) + yield f"[{formatted_extras}]" + + if self.specifier: + yield str(self.specifier) + + if self.url: + yield f" @ {self.url}" + if self.marker: + yield " " + + if self.marker: + yield f"; {self.marker}" + + def __getstate__(self) -> tuple[str, bool | None]: + # Return the requirement string for compactness and stability, paired + # with the specifier's explicit prereleases override, which is not + # captured by the string form. Re-parsed on load to reconstruct all + # other fields. + return (str(self), self.specifier._prereleases) + + def __setstate__(self, state: object) -> None: + if isinstance(state, str): + # Format (26.2): just the requirement string. + requirement_string: str = state + prereleases: bool | None = None + elif ( + isinstance(state, tuple) + and len(state) == 2 + and isinstance(state[0], str) + and (state[1] is None or isinstance(state[1], bool)) + ): + # New format (26.3+): (requirement string, specifier prereleases). + requirement_string, prereleases = state + elif isinstance(state, dict) and state.keys() >= set(self.__slots__): + # Old format (packaging <= 26.1, no __slots__): plain __dict__. + for key in self.__slots__: + setattr(self, key, state[key]) + return + else: + raise TypeError(f"Cannot restore Requirement from {state!r}") + + try: + tmp = Requirement(requirement_string) + except InvalidRequirement as exc: + raise TypeError(f"Cannot restore Requirement from {state!r}") from exc + self.name = tmp.name + self.url = tmp.url + self.extras = tmp.extras + self.specifier = tmp.specifier + self.specifier._prereleases = prereleases + self.marker = tmp.marker + + def __str__(self) -> str: + return "".join(self._iter_parts(self.name)) + + def __repr__(self) -> str: + return f"<{self.__class__.__name__}({str(self)!r})>" + + def __hash__(self) -> int: + # Mirror __eq__ by hashing the canonical specifier object rather than + # its raw string. ``_iter_parts`` yields ``str(self.specifier)``, which + # is non-canonical, so trailing-zero-equivalent requirements such as + # ``foo==1.0.0`` and ``foo==1.0.0.0`` (which compare equal) would + # otherwise hash differently, breaking the hash/__eq__ invariant. + return hash( + ( + canonicalize_name(self.name), + frozenset(canonicalize_name(e) for e in self.extras), + self.specifier, + self.url, + self.marker, + ) + ) + + def __eq__(self, other: object) -> bool: + if not isinstance(other, Requirement): + return NotImplemented + + # Extras must be normalized before comparison as per PEP 685. + self_extras = frozenset(canonicalize_name(e) for e in self.extras) + other_extras = frozenset(canonicalize_name(e) for e in other.extras) + return ( + canonicalize_name(self.name) == canonicalize_name(other.name) + and self_extras == other_extras + and self.specifier == other.specifier + and self.url == other.url + and self.marker == other.marker + ) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/specifiers.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/specifiers.py new file mode 100644 index 0000000000000000000000000000000000000000..a6a61af424c7a203b16b371b797ee2d08332e0b5 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/specifiers.py @@ -0,0 +1,1457 @@ +# This file is dual licensed under the terms of the Apache License, Version +# 2.0, and the BSD License. See the LICENSE file in the root of this repository +# for complete details. +""" +.. testsetup:: + + from packaging.specifiers import Specifier, SpecifierSet, InvalidSpecifier + from packaging.version import Version +""" + +from __future__ import annotations + +import abc +import re +import typing +from typing import ( + TYPE_CHECKING, + Any, + Callable, + Final, + TypeVar, + Union, +) + +from ._ranges import ( + FULL_RANGE, + bounds_for_spec, + coerce_version, + filter_by_ranges, + intersect_specifier_bounds, + matches_bounds_only, + ranges_are_prerelease_only, + resolve_prereleases, + trim_release, +) +from .utils import canonicalize_version +from .version import Version + +if TYPE_CHECKING: + import sys + from collections.abc import Iterable, Iterator, Sequence + + if sys.version_info >= (3, 10): + from typing import TypeGuard + else: + from typing_extensions import TypeGuard + + from . import ranges + from ._ranges import Interval + + +__all__ = [ + "BaseSpecifier", + "InvalidSpecifier", + "Specifier", + "SpecifierSet", +] + + +def __dir__() -> list[str]: + return __all__ + + +def _validate_spec(spec: object, /) -> TypeGuard[tuple[str, str]]: + return ( + isinstance(spec, tuple) + and len(spec) == 2 + and isinstance(spec[0], str) + and isinstance(spec[1], str) + ) + + +def _validate_pre(pre: object, /) -> TypeGuard[bool | None]: + return pre is None or isinstance(pre, bool) + + +T = TypeVar("T") +UnparsedVersion = Union[Version, str] +UnparsedVersionVar = TypeVar("UnparsedVersionVar", bound=UnparsedVersion) + + +# Operators whose result is just a direct Version comparison, given a parsed +# item with no local. ``<=``/``==``/``!=`` need that no-local guard because +# PEP 440 strips locals on those; ``>=`` works regardless. +_DIRECT_COMPARE_OPS: dict[str, Callable[[Version, Version], bool]] = { + ">=": Version.__ge__, + "<=": Version.__le__, + "==": Version.__eq__, + "!=": Version.__ne__, +} + + +def _fast_match(specifier: Specifier, parsed: Version) -> bool | None: + """Match ``parsed`` against ``specifier`` without building a range. + + Handles ``>=``, ``<=``, ``==``, ``!=``, ``<``, ``>`` when the spec is + not a wildcard and ``parsed`` has no local. Returns ``None`` when the + range path must be used. Pre-release policy is left to the caller. + """ + op_str, ver_str = specifier._spec + if ver_str.endswith(".*") or parsed.local is not None: + return None + + direct_compare = _DIRECT_COMPARE_OPS.get(op_str) + if direct_compare is not None: + return direct_compare(parsed, specifier._require_spec_version(ver_str)) + + if op_str in ("<", ">"): + spec_v = specifier._require_spec_version(ver_str) + # ``V`` carve out V's family (pre/dev/post); that only + # matters when parsed shares V's epoch and trimmed release. + # Otherwise a direct cmpkey comparison is correct. + if parsed.epoch != spec_v.epoch or trim_release(parsed.release) != trim_release( + spec_v.release + ): + return parsed < spec_v if op_str == "<" else parsed > spec_v + return None + + return None + + +class InvalidSpecifier(ValueError): + """ + Raised when attempting to create a :class:`Specifier` with a specifier + string that is invalid. + + >>> Specifier("lolwat") + Traceback (most recent call last): + ... + packaging.specifiers.InvalidSpecifier: Invalid specifier: 'lolwat' + """ + + +class BaseSpecifier(metaclass=abc.ABCMeta): + """ + Abstract base class for :class:`Specifier` and :class:`SpecifierSet`. + """ + + __slots__ = () + __match_args__ = ("_str",) + + @property + def _str(self) -> str: + """Internal property for match_args""" + return str(self) + + @abc.abstractmethod + def __str__(self) -> str: + """ + Returns the str representation of this Specifier-like object. This + should be representative of the Specifier itself. + """ + + @abc.abstractmethod + def __hash__(self) -> int: + """ + Returns a hash value for this Specifier-like object. + """ + + @abc.abstractmethod + def __eq__(self, other: object) -> bool: + """ + Returns a boolean representing whether or not the two Specifier-like + objects are equal. + + :param other: The other object to check against. + """ + + @property + @abc.abstractmethod + def prereleases(self) -> bool | None: + """Whether or not pre-releases as a whole are allowed. + + This can be set to either ``True`` or ``False`` to explicitly enable or disable + prereleases or it can be set to ``None`` (the default) to use default semantics. + """ + + @prereleases.setter # noqa: B027 + def prereleases(self, value: bool) -> None: + """Setter for :attr:`prereleases`. + + :param value: The value to set. + """ + + @abc.abstractmethod + def contains(self, item: str, prereleases: bool | None = None) -> bool: + """ + Determines if the given item is contained within this specifier. + """ + + @typing.overload + def filter( + self, + iterable: Iterable[UnparsedVersionVar], + prereleases: bool | None = None, + key: None = ..., + ) -> Iterator[UnparsedVersionVar]: ... + + @typing.overload + def filter( + self, + iterable: Iterable[T], + prereleases: bool | None = None, + key: Callable[[T], UnparsedVersion] = ..., + ) -> Iterator[T]: ... + + @abc.abstractmethod + def filter( + self, + iterable: Iterable[Any], + prereleases: bool | None = None, + key: Callable[[Any], UnparsedVersion] | None = None, + ) -> Iterator[Any]: + """ + Takes an iterable of items and filters them so that only items which + are contained within this specifier are allowed in it. + """ + + +class Specifier(BaseSpecifier): + """This class abstracts handling of version specifiers. + + .. tip:: + + It is generally not required to instantiate this manually. You should instead + prefer to work with :class:`SpecifierSet` instead, which can parse + comma-separated version specifiers (which is what package metadata contains). + + Instances are safe to serialize with :mod:`pickle`. They use a stable + format so the same pickle can be loaded in future packaging releases. + + .. versionchanged:: 26.2 + + Added a stable pickle format. Pickles created with packaging 26.2+ can + be unpickled with future releases. Backward compatibility with pickles + from packaging < 26.2 is supported but may be removed in a future + release. + """ + + __slots__ = ( + "_prereleases", + "_ranges", + "_spec", + "_spec_version", + ) + + _specifier_regex_str = r""" + (?: + (?: + # The identity operators allow for an escape hatch that will + # do an exact string match of the version you wish to install. + # This will not be parsed by PEP 440 and we cannot determine + # any semantic meaning from it. This operator is discouraged + # but included entirely as an escape hatch. + === # Only match for the identity operator + \s* + [^\s;)]* # The arbitrary version can be just about anything, + # we match everything except for whitespace, a + # semi-colon for marker support, and a closing paren + # since versions can be enclosed in them. + ) + | + (?: + # The (non)equality operators allow for wild card and local + # versions to be specified so we have to define these two + # operators separately to enable that. + (?:==|!=) # Only match for equals and not equals + + \s* + v? + (?:[0-9]+!)? # epoch + [0-9]+(?:\.[0-9]+)* # release + + # You cannot use a wild card and a pre-release, post-release, a dev or + # local version together so group them with a | and make them optional. + (?: + \.\* # Wild card syntax of .* + | + (?a: # pre release + [-_\.]? + (alpha|beta|preview|pre|a|b|c|rc) + [-_\.]? + [0-9]* + )? + (?a: # post release + (?:-[0-9]+)|(?:[-_\.]?(post|rev|r)[-_\.]?[0-9]*) + )? + (?a:[-_\.]?dev[-_\.]?[0-9]*)? # dev release + (?a:\+[a-z0-9]+(?:[-_\.][a-z0-9]+)*)? # local + )? + ) + | + (?: + # The compatible operator requires at least two digits in the + # release segment. + (?:~=) # Only match for the compatible operator + + \s* + v? + (?:[0-9]+!)? # epoch + [0-9]+(?:\.[0-9]+)+ # release (We have a + instead of a *) + (?: # pre release + [-_\.]? + (alpha|beta|preview|pre|a|b|c|rc) + [-_\.]? + [0-9]* + )? + (?: # post release + (?:-[0-9]+)|(?:[-_\.]?(post|rev|r)[-_\.]?[0-9]*) + )? + (?:[-_\.]?dev[-_\.]?[0-9]*)? # dev release + ) + | + (?: + # All other operators only allow a sub set of what the + # (non)equality operators do. Specifically they do not allow + # local versions to be specified nor do they allow the prefix + # matching wild cards. + (?:<=|>=|<|>) + + \s* + v? + (?:[0-9]+!)? # epoch + [0-9]+(?:\.[0-9]+)* # release + (?a: # pre release + [-_\.]? + (alpha|beta|preview|pre|a|b|c|rc) + [-_\.]? + [0-9]* + )? + (?a: # post release + (?:-[0-9]+)|(?:[-_\.]?(post|rev|r)[-_\.]?[0-9]*) + )? + (?a:[-_\.]?dev[-_\.]?[0-9]*)? # dev release + ) + ) + """ + + _regex = re.compile( + r"\s*" + _specifier_regex_str + r"\s*", re.VERBOSE | re.IGNORECASE + ) + + # Legacy unused attribute, kept for backward compatibility + _operators: Final = { + "~=": "compatible", + "==": "equal", + "!=": "not_equal", + "<=": "less_than_equal", + ">=": "greater_than_equal", + "<": "less_than", + ">": "greater_than", + "===": "arbitrary", + } + + def __init__(self, spec: str = "", prereleases: bool | None = None) -> None: + """Initialize a Specifier instance. + + :param spec: + The string representation of a specifier which will be parsed and + normalized before use. + :param prereleases: + This tells the specifier if it should accept prerelease versions if + applicable or not. The default of ``None`` will autodetect it from the + given specifiers. + :raises InvalidSpecifier: + If the given specifier is invalid (i.e. bad syntax). + """ + if not self._regex.fullmatch(spec): + raise InvalidSpecifier(f"Invalid specifier: {spec!r}") + + spec = spec.strip() + if spec.startswith("==="): + operator, version = spec[:3], spec[3:].strip() + elif spec.startswith(("~=", "==", "!=", "<=", ">=")): + operator, version = spec[:2], spec[2:].strip() + else: + operator, version = spec[:1], spec[1:].strip() + + self._spec: tuple[str, str] = (operator, version) + + # Store whether or not this Specifier should accept prereleases + self._prereleases = prereleases + + # Specifier version cache + self._spec_version: tuple[str, Version] | None = None + + # Version range cache (populated by _to_ranges) + self._ranges: Sequence[Interval] | None = None + + def _get_spec_version(self, version: str) -> Version | None: + """One element cache, as only one spec Version is needed per Specifier.""" + if self._spec_version is not None and self._spec_version[0] == version: + return self._spec_version[1] + + version_specifier = coerce_version(version) + if version_specifier is None: + return None + + self._spec_version = (version, version_specifier) + return version_specifier + + def _require_spec_version(self, version: str) -> Version: + """Get spec version, asserting it's valid (not for === operator). + + This method should only be called for operators where version + strings are guaranteed to be valid PEP 440 versions (not ===). + """ + spec_version = self._get_spec_version(version) + assert spec_version is not None + return spec_version + + def _to_ranges(self) -> Sequence[Interval]: + """Convert this specifier to sorted, non-overlapping version ranges. + + Each standard operator maps to one or two ranges. ``===`` is + modeled as full range (actual check done separately). Cached. + """ + if self._ranges is not None: + return self._ranges + + op = self.operator + ver_str = self.version + + if op == "===": + result: Sequence[Interval] = FULL_RANGE + else: + version = self._require_spec_version(ver_str.removesuffix(".*")) + result = bounds_for_spec(op, ver_str, version) + + self._ranges = result + return result + + @property + def prereleases(self) -> bool | None: + # If there is an explicit prereleases set for this, then we'll just + # blindly use that. + if self._prereleases is not None: + return self._prereleases + + # Only the "!=" operator does not imply prereleases when + # the version in the specifier is a prerelease. + operator, version_str = self._spec + if operator == "!=": + return False + + # The == specifier with trailing .* cannot include prereleases + # e.g. "==1.0a1.*" is not valid. + if operator == "==" and version_str.endswith(".*"): + return False + + # "===" can have arbitrary string versions, so we cannot parse + # those, we take prereleases as unknown (None) for those. + version = self._get_spec_version(version_str) + if version is None: + return None + + # For all other operators, use the check if spec Version + # object implies pre-releases. + return version.is_prerelease + + @prereleases.setter + def prereleases(self, value: bool | None) -> None: + self._prereleases = value + + def __getstate__(self) -> tuple[tuple[str, str], bool | None]: + # Return state as a 2-item tuple for compactness: + # ((operator, version), prereleases) + # Cache members are excluded and will be recomputed on demand. + return (self._spec, self._prereleases) + + def __setstate__(self, state: object) -> None: + # Always discard cached values - they will be recomputed on demand. + self._spec_version = None + self._ranges = None + + if isinstance(state, tuple): + if len(state) == 2: + # New format (26.2+): ((operator, version), prereleases) + spec, prereleases = state + if _validate_spec(spec) and _validate_pre(prereleases): + self._spec = spec + self._prereleases = prereleases + return + if len(state) == 2 and isinstance(state[1], dict): + # Format (packaging 26.0-26.1): (None, {slot: value}). + _, slot_dict = state + spec = slot_dict.get("_spec") + prereleases = slot_dict.get("_prereleases", "invalid") + if _validate_spec(spec) and _validate_pre(prereleases): + self._spec = spec + self._prereleases = prereleases + return + if isinstance(state, dict): + # Old format (packaging <= 25.x, no __slots__): state is a plain dict. + spec = state.get("_spec") + prereleases = state.get("_prereleases", "invalid") + if _validate_spec(spec) and _validate_pre(prereleases): + self._spec = spec + self._prereleases = prereleases + return + + raise TypeError(f"Cannot restore Specifier from {state!r}") + + @property + def operator(self) -> str: + """The operator of this specifier. + + >>> Specifier("==1.2.3").operator + '==' + """ + return self._spec[0] + + @property + def version(self) -> str: + """The version of this specifier. + + >>> Specifier("==1.2.3").version + '1.2.3' + """ + return self._spec[1] + + def __repr__(self) -> str: + """A representation of the Specifier that shows all internal state. + + >>> Specifier('>=1.0.0') + =1.0.0')> + >>> Specifier('>=1.0.0', prereleases=False) + =1.0.0', prereleases=False)> + >>> Specifier('>=1.0.0', prereleases=True) + =1.0.0', prereleases=True)> + """ + pre = ( + f", prereleases={self.prereleases!r}" + if self._prereleases is not None + else "" + ) + + return f"<{self.__class__.__name__}({str(self)!r}{pre})>" + + def __str__(self) -> str: + """A string representation of the Specifier that can be round-tripped. + + >>> str(Specifier('>=1.0.0')) + '>=1.0.0' + >>> str(Specifier('>=1.0.0', prereleases=False)) + '>=1.0.0' + """ + return "{}{}".format(*self._spec) + + @property + def _canonical_spec(self) -> tuple[str, str]: + operator, version = self._spec + if operator == "===" or version.endswith(".*"): + return operator, version + + spec_version = self._require_spec_version(version) + + canonical_version = canonicalize_version( + spec_version, strip_trailing_zero=(operator != "~=") + ) + + return operator, canonical_version + + def __hash__(self) -> int: + return hash(self._canonical_spec) + + def __eq__(self, other: object) -> bool: + """Whether or not the two Specifier-like objects are equal. + + :param other: The other object to check against. + + The value of :attr:`prereleases` is ignored. + + >>> Specifier("==1.2.3") == Specifier("== 1.2.3.0") + True + >>> (Specifier("==1.2.3", prereleases=False) == + ... Specifier("==1.2.3", prereleases=True)) + True + >>> Specifier("==1.2.3") == "==1.2.3" + True + >>> Specifier("==1.2.3") == Specifier("==1.2.4") + False + >>> Specifier("==1.2.3") == Specifier("~=1.2.3") + False + """ + if isinstance(other, str): + try: + other = self.__class__(str(other)) + except InvalidSpecifier: + return NotImplemented + elif not isinstance(other, self.__class__): + return NotImplemented + + return self._canonical_spec == other._canonical_spec + + def __contains__(self, item: str | Version) -> bool: + """Return whether or not the item is contained in this specifier. + + :param item: The item to check for. + + This is used for the ``in`` operator and behaves the same as + :meth:`contains` with no ``prereleases`` argument passed. + + >>> "1.2.3" in Specifier(">=1.2.3") + True + >>> Version("1.2.3") in Specifier(">=1.2.3") + True + >>> "1.0.0" in Specifier(">=1.2.3") + False + >>> "1.3.0a1" in Specifier(">=1.2.3") + True + >>> "1.3.0a1" in Specifier(">=1.2.3", prereleases=True) + True + """ + return self.contains(item) + + def contains(self, item: UnparsedVersion, prereleases: bool | None = None) -> bool: + """Return whether or not the item is contained in this specifier. + + :param item: + The item to check for, which can be a version string or a + :class:`~packaging.version.Version` instance. + :param prereleases: + Whether or not to match prereleases with this Specifier. If set to + ``None`` (the default), it will follow the recommendation from + :pep:`440` and match prereleases, as there are no other versions. + + >>> Specifier(">=1.2.3").contains("1.2.3") + True + >>> Specifier(">=1.2.3").contains(Version("1.2.3")) + True + >>> Specifier(">=1.2.3").contains("1.0.0") + False + >>> Specifier(">=1.2.3").contains("1.3.0a1") + True + >>> Specifier(">=1.2.3", prereleases=False).contains("1.3.0a1") + False + >>> Specifier(">=1.2.3").contains("1.3.0a1") + True + + .. versionchanged:: 26.0 + + With ``prereleases=None``, a prerelease now matches. A single + version has no alternatives, so the :pep:`440` rule to accept + prereleases when nothing else satisfies the specifier applies. + Earlier versions rejected it. An unparsable version now returns + ``False`` instead of raising :exc:`~packaging.version.InvalidVersion`. + """ + # ``===`` compares the raw string, so a Version parse here would + # be wasted. + if self._spec[0] == "===": + return bool(list(self.filter([item], prereleases=prereleases))) + + parsed = coerce_version(item) + if parsed is None: + # Standard operators never match an unparsable input. + return False + + if prereleases is None: + prereleases = resolve_prereleases(self._prereleases, self.prereleases) + + if prereleases is False and parsed.is_prerelease: + return False + + # ``_fast_match`` answers the simple operators without building a + # range; otherwise fall back to the engine's bounds membership. + match = _fast_match(self, parsed) + if match is not None: + return match + + return matches_bounds_only(self._to_ranges(), parsed) + + @typing.overload + def filter( + self, + iterable: Iterable[UnparsedVersionVar], + prereleases: bool | None = None, + key: None = ..., + ) -> Iterator[UnparsedVersionVar]: ... + + @typing.overload + def filter( + self, + iterable: Iterable[T], + prereleases: bool | None = None, + key: Callable[[T], UnparsedVersion] = ..., + ) -> Iterator[T]: ... + + def filter( + self, + iterable: Iterable[Any], + prereleases: bool | None = None, + key: Callable[[Any], UnparsedVersion] | None = None, + ) -> Iterator[Any]: + """Filter items in the given iterable, that match the specifier. + + :param iterable: + An iterable that can contain version strings and + :class:`~packaging.version.Version` instances. The items in the + iterable will be filtered according to the specifier. + :param prereleases: + Whether or not to allow prereleases in the returned iterator. If set to + ``None`` (the default), it will follow the recommendation from :pep:`440` + and match prereleases if there are no other versions. + :param key: + A callable that takes a single argument (an item from the iterable) and + returns a version string or :class:`~packaging.version.Version` + instance to be used for filtering. + + >>> list(Specifier(">=1.2.3").filter(["1.2", "1.3", "1.5a1"])) + ['1.3'] + >>> list(Specifier(">=1.2.3").filter(["1.2", "1.2.3", "1.3", Version("1.4")])) + ['1.2.3', '1.3', ] + >>> list(Specifier(">=1.2.3").filter(["1.2", "1.5a1"])) + ['1.5a1'] + >>> list(Specifier(">=1.2.3").filter(["1.3", "1.5a1"], prereleases=True)) + ['1.3', '1.5a1'] + >>> list(Specifier(">=1.2.3", prereleases=True).filter(["1.3", "1.5a1"])) + ['1.3', '1.5a1'] + >>> list(Specifier(">=1.2.3").filter( + ... [{"ver": "1.2"}, {"ver": "1.3"}], + ... key=lambda x: x["ver"])) + [{'ver': '1.3'}] + + .. versionchanged:: 26.1 + + Added the ``key`` parameter. + """ + if prereleases is None: + prereleases = resolve_prereleases(self._prereleases, self.prereleases) + + if self.operator == "===": + spec_lower = self.version.lower() + matches = ( + item + for item in iterable + if str(item if key is None else key(item)).lower() == spec_lower + ) + return _apply_prereleases_filter(matches, key, prereleases) + + return filter_by_ranges(self._to_ranges(), iterable, key, prereleases) + + +def _apply_prereleases_filter( + matches: Iterable[Any], + key: Callable[[Any], UnparsedVersion] | None, + prereleases: bool | None, +) -> Iterator[Any]: + """Apply ``prereleases=`` handling to an already-matched iterable. + + ``None`` means PEP 440 default (buffer pre-releases until a final + appears); ``True`` yields everything; ``False`` drops pre-releases. + """ + if prereleases is None: + return _pep440_filter_prereleases(matches, key) + if prereleases: + return iter(matches) + return ( + item + for item in matches + if (parsed := coerce_version(item if key is None else key(item))) is None + or not parsed.is_prerelease + ) + + +class SpecifierSet(BaseSpecifier): + """This class abstracts handling of a set of version specifiers. + + It can be passed a single specifier (``>=3.0``), a comma-separated list of + specifiers (``>=3.0,!=3.1``), or no specifier at all. + + Instances are safe to serialize with :mod:`pickle`. They use a stable + format so the same pickle can be loaded in future packaging + releases. + + .. versionchanged:: 26.2 + + Added a stable pickle format. Pickles created with + packaging 26.2+ can be unpickled with future releases. + Backward compatibility with pickles from + packaging < 26.2 is supported but may be removed in a future + release. + """ + + __slots__ = ( + "_canonicalized", + "_has_arbitrary", + "_is_unsatisfiable", + "_prereleases", + "_ranges", + "_specs", + ) + + def __init__( + self, + specifiers: str | Iterable[Specifier] = "", + prereleases: bool | None = None, + ) -> None: + """Initialize a SpecifierSet instance. + + :param specifiers: + The string representation of a specifier or a comma-separated list of + specifiers which will be parsed and normalized before use. + May also be an iterable of ``Specifier`` instances, which will be used + as is. + :param prereleases: + This tells the SpecifierSet if it should accept prerelease versions if + applicable or not. The default of ``None`` will autodetect it from the + given specifiers. + + :raises InvalidSpecifier: + If the given ``specifiers`` are not parseable than this exception will be + raised. + """ + + if isinstance(specifiers, str): + # Split on `,` to break each individual specifier into its own item, and + # strip each item to remove leading/trailing whitespace. + split_specifiers = [s.strip() for s in specifiers.split(",") if s.strip()] + + self._specs: tuple[Specifier, ...] = tuple(map(Specifier, split_specifiers)) + # Fast substring check; avoids iterating parsed specs. + self._has_arbitrary = "===" in specifiers + else: + self._specs = tuple(specifiers) + # Substring check works for both Specifier objects and plain + # strings (setuptools passes lists of strings). + self._has_arbitrary = any("===" in str(s) for s in self._specs) + + self._canonicalized = len(self._specs) <= 1 + self._is_unsatisfiable: bool | None = None + self._ranges: Sequence[Interval] | None = None + + # Store our prereleases value so we can use it later to determine if + # we accept prereleases or not. + self._prereleases = prereleases + + def _canonical_specs(self) -> tuple[Specifier, ...]: + """Deduplicate, sort, and cache specs for order-sensitive operations.""" + if not self._canonicalized: + self._specs = tuple(dict.fromkeys(sorted(self._specs, key=str))) + self._canonicalized = True + return self._specs + + @property + def prereleases(self) -> bool | None: + # If we have been given an explicit prerelease modifier, then we'll + # pass that through here. + if self._prereleases is not None: + return self._prereleases + + # If we don't have any specifiers, and we don't have a forced value, + # then we'll just return None since we don't know if this should have + # pre-releases or not. + if not self._specs: + return None + + # Otherwise we'll see if any of the given specifiers accept + # prereleases, if any of them do we'll return True, otherwise False. + if any(s.prereleases for s in self._specs): + return True + + return None + + @prereleases.setter + def prereleases(self, value: bool | None) -> None: + self._prereleases = value + self._is_unsatisfiable = None + + def __getstate__(self) -> tuple[tuple[Specifier, ...], bool | None]: + # Return state as a 2-item tuple for compactness: + # (specs, prereleases) + # Cache members are excluded and will be recomputed on demand. + return (self._specs, self._prereleases) + + def __setstate__(self, state: object) -> None: + # Always discard cached values - they will be recomputed on demand. + self._ranges = None + self._is_unsatisfiable = None + + if isinstance(state, tuple): + if len(state) == 2: + # New format (26.2+): (specs, prereleases) + specs, prereleases = state + if ( + isinstance(specs, tuple) + and all(isinstance(s, Specifier) for s in specs) + and _validate_pre(prereleases) + ): + self._specs = specs + self._prereleases = prereleases + self._canonicalized = len(specs) <= 1 + self._has_arbitrary = any("===" in str(s) for s in specs) + return + if len(state) == 2 and isinstance(state[1], dict): + # Format (packaging 26.0-26.1): (None, {slot: value}). + _, slot_dict = state + specs = slot_dict.get("_specs", ()) + prereleases = slot_dict.get("_prereleases") + # Convert frozenset to tuple (26.0 stored as frozenset) + if isinstance(specs, frozenset): + specs = tuple(sorted(specs, key=str)) + if ( + isinstance(specs, tuple) + and all(isinstance(s, Specifier) for s in specs) + and _validate_pre(prereleases) + ): + self._specs = specs + self._prereleases = prereleases + self._canonicalized = len(self._specs) <= 1 + self._has_arbitrary = any("===" in str(s) for s in self._specs) + return + if isinstance(state, dict): + # Old format (packaging <= 25.x, no __slots__): state is a plain dict. + specs = state.get("_specs", ()) + prereleases = state.get("_prereleases") + # Convert frozenset to tuple (26.0 stored as frozenset) + if isinstance(specs, frozenset): + specs = tuple(sorted(specs, key=str)) + if ( + isinstance(specs, tuple) + and all(isinstance(s, Specifier) for s in specs) + and _validate_pre(prereleases) + ): + self._specs = specs + self._prereleases = prereleases + self._canonicalized = len(self._specs) <= 1 + self._has_arbitrary = any("===" in str(s) for s in self._specs) + return + + raise TypeError(f"Cannot restore SpecifierSet from {state!r}") + + def __repr__(self) -> str: + """A representation of the specifier set that shows all internal state. + + Note that the ordering of the individual specifiers within the set may not + match the input string. + + >>> SpecifierSet('>=1.0.0,!=2.0.0') + =1.0.0')> + >>> SpecifierSet('>=1.0.0,!=2.0.0', prereleases=False) + =1.0.0', prereleases=False)> + >>> SpecifierSet('>=1.0.0,!=2.0.0', prereleases=True) + =1.0.0', prereleases=True)> + """ + pre = ( + f", prereleases={self.prereleases!r}" + if self._prereleases is not None + else "" + ) + + return f"<{self.__class__.__name__}({str(self)!r}{pre})>" + + def __str__(self) -> str: + """A string representation of the specifier set that can be round-tripped. + + Note that the ordering of the individual specifiers within the set may not + match the input string. + + >>> str(SpecifierSet(">=1.0.0,!=1.0.1")) + '!=1.0.1,>=1.0.0' + >>> str(SpecifierSet(">=1.0.0,!=1.0.1", prereleases=False)) + '!=1.0.1,>=1.0.0' + """ + return ",".join(str(s) for s in self._canonical_specs()) + + def __hash__(self) -> int: + return hash(self._canonical_specs()) + + def __and__(self, other: SpecifierSet | str) -> SpecifierSet: + """Return a SpecifierSet which is a combination of the two sets. + + :param other: The other object to combine with. + + >>> SpecifierSet(">=1.0.0,!=1.0.1") & '<=2.0.0,!=2.0.1' + =1.0.0')> + >>> SpecifierSet(">=1.0.0,!=1.0.1") & SpecifierSet('<=2.0.0,!=2.0.1') + =1.0.0')> + """ + if isinstance(other, str): + other = SpecifierSet(other) + elif not isinstance(other, SpecifierSet): + return NotImplemented + + specifier = SpecifierSet() + specifier._specs = self._specs + other._specs + specifier._canonicalized = len(specifier._specs) <= 1 + specifier._has_arbitrary = self._has_arbitrary or other._has_arbitrary + + # Combine prerelease settings: use common or non-None value + if self._prereleases is None or self._prereleases == other._prereleases: + specifier._prereleases = other._prereleases + elif other._prereleases is None: + specifier._prereleases = self._prereleases + else: + raise ValueError( + "Cannot combine SpecifierSets with True and False prerelease overrides." + ) + + return specifier + + def __eq__(self, other: object) -> bool: + """Whether or not the two SpecifierSet-like objects are equal. + + :param other: The other object to check against. + + The value of :attr:`prereleases` is ignored. + + >>> SpecifierSet(">=1.0.0,!=1.0.1") == SpecifierSet(">=1.0.0,!=1.0.1") + True + >>> (SpecifierSet(">=1.0.0,!=1.0.1", prereleases=False) == + ... SpecifierSet(">=1.0.0,!=1.0.1", prereleases=True)) + True + >>> SpecifierSet(">=1.0.0,!=1.0.1") == ">=1.0.0,!=1.0.1" + True + >>> SpecifierSet(">=1.0.0,!=1.0.1") == SpecifierSet(">=1.0.0") + False + >>> SpecifierSet(">=1.0.0,!=1.0.1") == SpecifierSet(">=1.0.0,!=1.0.2") + False + """ + if isinstance(other, (str, Specifier)): + other = SpecifierSet(str(other)) + elif not isinstance(other, SpecifierSet): + return NotImplemented + + return self._canonical_specs() == other._canonical_specs() + + def __len__(self) -> int: + """Returns the number of specifiers in this specifier set.""" + return len(self._specs) + + def __iter__(self) -> Iterator[Specifier]: + """ + Returns an iterator over all the underlying :class:`Specifier` instances + in this specifier set. + + >>> sorted(SpecifierSet(">=1.0.0,!=1.0.1"), key=str) + [, =1.0.0')>] + """ + return iter(self._specs) + + def _get_ranges(self) -> Sequence[Interval]: + """Intersect all specifiers into a single sequence of version ranges. + + Empty when unsatisfiable. Callers must ensure ``self._specs`` + is non-empty. + """ + if self._ranges is not None: + return self._ranges + + self._ranges = intersect_specifier_bounds(s._to_ranges() for s in self._specs) + return self._ranges + + def is_unsatisfiable(self) -> bool: + """Check whether this specifier set can never be satisfied. + + Returns True if no version can satisfy all specifiers simultaneously. + + >>> SpecifierSet(">=2.0,<1.0").is_unsatisfiable() + True + >>> SpecifierSet(">=1.0,<2.0").is_unsatisfiable() + False + >>> SpecifierSet("").is_unsatisfiable() + False + >>> SpecifierSet("==1.0,!=1.0").is_unsatisfiable() + True + + .. versionadded:: 26.1 + """ + cached = self._is_unsatisfiable + if cached is not None: + return cached + + if not self._specs: + self._is_unsatisfiable = False + return False + + result = not self._get_ranges() + + if not result: + result = self._check_arbitrary_unsatisfiable() + + if not result and self.prereleases is False: + result = ranges_are_prerelease_only(self._get_ranges()) + + self._is_unsatisfiable = result + return result + + def _check_arbitrary_unsatisfiable(self) -> bool: + """Check === (arbitrary equality) specs for unsatisfiability. + + === uses case-insensitive string comparison, so the only candidate + that can match ``===V`` is the literal string V. This method + checks whether that candidate is excluded by other specifiers. + """ + arbitrary = [s for s in self._specs if s.operator == "==="] + if not arbitrary: + return False + + # Multiple === must agree on the same string (case-insensitive). + first = arbitrary[0].version.lower() + if any(s.version.lower() != first for s in arbitrary[1:]): + return True + + # The sole candidate is the === version string. Check whether + # it can satisfy every standard spec. + candidate = coerce_version(arbitrary[0].version) + + # With prereleases=False, a prerelease candidate is excluded + # by contains() before the === string check even runs. + if ( + self.prereleases is False + and candidate is not None + and candidate.is_prerelease + ): + return True + + standard = [s for s in self._specs if s.operator != "==="] + if not standard: + return False + + if candidate is None: + # Unparsable string cannot satisfy any standard spec. + return True + + return not all(s.contains(candidate) for s in standard) + + def to_range(self) -> ranges.VersionRange: + """Return the :class:`~packaging.ranges.VersionRange` this set accepts. + + An empty set yields the full range; an unsatisfiable set yields the + empty range. ``===`` specifiers contribute literal-string admission. + + >>> SpecifierSet(">=1.0,<2.0").to_range() + + + .. versionadded:: 26.3 + """ + from .ranges import VersionRange # noqa: PLC0415 + + return VersionRange._from_specifier_set(self) + + def _check_relation_operand(self, other: object) -> None: + if not isinstance(other, SpecifierSet): + raise TypeError("expected a SpecifierSet") + if self._has_arbitrary or other._has_arbitrary: + raise ValueError("set relations do not support === specifiers") + + def is_subset(self, other: SpecifierSet) -> bool: + """Return whether every version matching this set also matches other. + + :raises ValueError: + If either set uses ``===`` specifiers, or the two sets were + given different ``prereleases`` arguments (unset on one side + counts as different). + :raises TypeError: + If other is not a :class:`SpecifierSet`. + + >>> SpecifierSet(">=3.12,<3.13").is_subset(SpecifierSet(">=3.12")) + True + >>> SpecifierSet(">=3.12").is_subset(SpecifierSet(">=3.12,<3.13")) + False + + .. versionadded:: 26.3 + """ + self._check_relation_operand(other) + return self.to_range().is_subset(other.to_range()) + + def is_superset(self, other: SpecifierSet) -> bool: + """Return whether every version matching other also matches this set. + + :raises ValueError: + If either set uses ``===`` specifiers, or the two sets were + given different ``prereleases`` arguments (unset on one side + counts as different). + :raises TypeError: + If other is not a :class:`SpecifierSet`. + + >>> SpecifierSet(">=3.12").is_superset(SpecifierSet(">=3.12,<3.13")) + True + + .. versionadded:: 26.3 + """ + self._check_relation_operand(other) + return self.to_range().is_superset(other.to_range()) + + def is_disjoint(self, other: SpecifierSet) -> bool: + """Return whether this set and other share no matching versions. + + :raises ValueError: + If either set uses ``===`` specifiers, or the two sets were + given different ``prereleases`` arguments (unset on one side + counts as different). + :raises TypeError: + If other is not a :class:`SpecifierSet`. + + >>> SpecifierSet("<3.12").is_disjoint(SpecifierSet(">=3.12")) + True + >>> SpecifierSet("<3.12").is_disjoint(SpecifierSet(">=3.11")) + False + + .. versionadded:: 26.3 + """ + self._check_relation_operand(other) + return self.to_range().is_disjoint(other.to_range()) + + def __contains__(self, item: UnparsedVersion) -> bool: + """Return whether or not the item is contained in this specifier. + + :param item: The item to check for. + + This is used for the ``in`` operator and behaves the same as + :meth:`contains` with no ``prereleases`` argument passed. + + >>> "1.2.3" in SpecifierSet(">=1.0.0,!=1.0.1") + True + >>> Version("1.2.3") in SpecifierSet(">=1.0.0,!=1.0.1") + True + >>> "1.0.1" in SpecifierSet(">=1.0.0,!=1.0.1") + False + >>> "1.3.0a1" in SpecifierSet(">=1.0.0,!=1.0.1") + True + >>> "1.3.0a1" in SpecifierSet(">=1.0.0,!=1.0.1", prereleases=True) + True + """ + return self.contains(item) + + def contains( + self, + item: UnparsedVersion, + prereleases: bool | None = None, + installed: bool | None = None, + ) -> bool: + """Return whether or not the item is contained in this SpecifierSet. + + :param item: + The item to check for, which can be a version string or a + :class:`~packaging.version.Version` instance. + :param prereleases: + Whether or not to match prereleases with this SpecifierSet. If set to + ``None`` (the default), it will follow the recommendation from :pep:`440` + and match prereleases, as there are no other versions. + :param installed: + Whether or not the item is installed. If set to ``True``, it will + accept prerelease versions even if the specifier does not allow them. + + >>> SpecifierSet(">=1.0.0,!=1.0.1").contains("1.2.3") + True + >>> SpecifierSet(">=1.0.0,!=1.0.1").contains(Version("1.2.3")) + True + >>> SpecifierSet(">=1.0.0,!=1.0.1").contains("1.0.1") + False + >>> SpecifierSet(">=1.0.0,!=1.0.1").contains("1.3.0a1") + True + >>> SpecifierSet(">=1.0.0,!=1.0.1", prereleases=False).contains("1.3.0a1") + False + >>> SpecifierSet(">=1.0.0,!=1.0.1").contains("1.3.0a1", prereleases=True) + True + + .. versionchanged:: 26.0 + + With ``prereleases=None``, a prerelease now matches. A single + version has no alternatives, so the :pep:`440` rule to accept + prereleases when nothing else satisfies the specifiers applies. + Earlier versions rejected it. An unparsable version now returns + ``False`` instead of raising :exc:`~packaging.version.InvalidVersion`. + """ + version = coerce_version(item) + + if version is not None and installed and version.is_prerelease: + prereleases = True + + # When item is a string and === is involved, keep it as-is + # so the comparison isn't done against the normalized form. + if version is None or (self._has_arbitrary and not isinstance(item, Version)): + check_item = item + else: + check_item = version + + # Fast path: a parseable, local-free version against a rangelike set. + # A local on ``version`` needs PEP 440 stripping that the range path + # applies. + if ( + version is not None + and not self._has_arbitrary + and version.local is None + and self._specs + ): + if version.is_prerelease and ( + prereleases is False + or (prereleases is None and self._prereleases is False) + ): + return False + + bounds = self._ranges + if bounds is None: + # Per-spec ``_fast_match`` answers a set of simple specifiers + # without folding anything. If a spec needs the range path, + # fold the intersected bounds once and cache them so repeated + # checks on the same set stay cheap. + for spec in self._specs: + match = _fast_match(spec, version) + if match is None: + break + if not match: + return False + else: + return True + + bounds = self._ranges = self._get_ranges() + + return matches_bounds_only(bounds, version) + + return bool(list(self.filter([check_item], prereleases=prereleases))) + + @typing.overload + def filter( + self, + iterable: Iterable[UnparsedVersionVar], + prereleases: bool | None = None, + key: None = ..., + ) -> Iterator[UnparsedVersionVar]: ... + + @typing.overload + def filter( + self, + iterable: Iterable[T], + prereleases: bool | None = None, + key: Callable[[T], UnparsedVersion] = ..., + ) -> Iterator[T]: ... + + def filter( + self, + iterable: Iterable[Any], + prereleases: bool | None = None, + key: Callable[[Any], UnparsedVersion] | None = None, + ) -> Iterator[Any]: + """Filter items in the given iterable, that match the specifiers in this set. + + :param iterable: + An iterable that can contain version strings and + :class:`~packaging.version.Version` instances. The items in the + iterable will be filtered according to the specifier. + :param prereleases: + Whether or not to allow prereleases in the returned iterator. If set to + ``None`` (the default), it will follow the recommendation from :pep:`440` + and match prereleases if there are no other versions. + :param key: + A callable that takes a single argument (an item from the iterable) and + returns a version string or :class:`~packaging.version.Version` + instance to be used for filtering. + + >>> list(SpecifierSet(">=1.2.3").filter(["1.2", "1.3", "1.5a1"])) + ['1.3'] + >>> list(SpecifierSet(">=1.2.3").filter(["1.2", "1.3", Version("1.4")])) + ['1.3', ] + >>> list(SpecifierSet(">=1.2.3").filter(["1.2", "1.5a1"])) + ['1.5a1'] + >>> list(SpecifierSet(">=1.2.3").filter(["1.3", "1.5a1"], prereleases=True)) + ['1.3', '1.5a1'] + >>> list(SpecifierSet(">=1.2.3", prereleases=True).filter(["1.3", "1.5a1"])) + ['1.3', '1.5a1'] + >>> list(SpecifierSet(">=1.2.3").filter( + ... [{"ver": "1.2"}, {"ver": "1.3"}], + ... key=lambda x: x["ver"])) + [{'ver': '1.3'}] + + An "empty" SpecifierSet will filter items based on the presence of prerelease + versions in the set. + + >>> list(SpecifierSet("").filter(["1.3", "1.5a1"])) + ['1.3'] + >>> list(SpecifierSet("").filter(["1.5a1"])) + ['1.5a1'] + >>> list(SpecifierSet("", prereleases=True).filter(["1.3", "1.5a1"])) + ['1.3', '1.5a1'] + >>> list(SpecifierSet("").filter(["1.3", "1.5a1"], prereleases=True)) + ['1.3', '1.5a1'] + + .. versionchanged:: 26.0 + + Prerelease filtering now follows the PEP 440 recommendation of + yielding prereleases only when no final release is present. + + .. versionchanged:: 26.1 + + Added the ``key`` parameter. + """ + # Determine if we're forcing a prerelease or not, if we're not forcing + # one for this particular filter call, then we'll use whatever the + # SpecifierSet thinks for whether or not we should support prereleases. + if prereleases is None and self.prereleases is not None: + prereleases = self.prereleases + + if self._specs: + if self._has_arbitrary: + # Slow path for === + specs = self._specs + matches = ( + item + for item in iterable + if all( + s.contains(item if key is None else key(item), prereleases=True) + for s in specs + ) + ) + return _apply_prereleases_filter(matches, key, prereleases) + + ranges = self._ranges + if ranges is None: + ranges = self._get_ranges() + return filter_by_ranges(ranges, iterable, key, prereleases) + + # Empty SpecifierSet. + return _apply_prereleases_filter(iterable, key, prereleases) + + +def _pep440_filter_prereleases( + iterable: Iterable[Any], key: Callable[[Any], UnparsedVersion] | None +) -> Iterator[Any]: + """Filter per PEP 440: exclude prereleases unless no finals exist.""" + # Two lists used: + # * all_nonfinal to preserve order if no finals exist + # * arbitrary_strings for streaming when first final found + all_nonfinal: list[Any] = [] + arbitrary_strings: list[Any] = [] + + found_final = False + for item in iterable: + parsed = coerce_version(item if key is None else key(item)) + + if parsed is None: + # Arbitrary strings are always included as it is not + # possible to determine if they are prereleases, + # and they have already passed all specifiers. + if found_final: + yield item + else: + arbitrary_strings.append(item) + all_nonfinal.append(item) + continue + + if not parsed.is_prerelease: + # Final release found - flush arbitrary strings, then yield + if not found_final: + yield from arbitrary_strings + found_final = True + yield item + continue + + # Prerelease - buffer if no finals yet, otherwise skip + if not found_final: + all_nonfinal.append(item) + + # No finals found - yield all buffered items + if not found_final: + yield from all_nonfinal diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/tags.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/tags.py new file mode 100644 index 0000000000000000000000000000000000000000..dd1ea911e17f1bfd2b5c62a10865450059c21413 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/tags.py @@ -0,0 +1,1053 @@ +# This file is dual licensed under the terms of the Apache License, Version +# 2.0, and the BSD License. See the LICENSE file in the root of this repository +# for complete details. + +from __future__ import annotations + +import logging +import operator +import platform +import re +import struct +import subprocess +import sys +import sysconfig +from collections.abc import Iterable, Iterator, Sequence +from importlib.machinery import EXTENSION_SUFFIXES +from typing import ( + TYPE_CHECKING, + TypeVar, + cast, +) + +from . import _manylinux, _musllinux + +if TYPE_CHECKING: + from collections.abc import Callable + from collections.abc import Set as AbstractSet + + +__all__ = [ + "INTERPRETER_SHORT_NAMES", + "AppleVersion", + "InvalidTag", + "PythonVersion", + "Tag", + "TooManyTagsError", + "UnsortedTagsError", + "android_platforms", + "compatible_tags", + "cpython_tags", + "create_compatible_tags_selector", + "generic_tags", + "interpreter_name", + "interpreter_version", + "ios_platforms", + "mac_platforms", + "parse_tag", + "platform_tags", + "pure_python_tags", + "sys_tags", +] + + +def __dir__() -> list[str]: + return __all__ + + +logger = logging.getLogger(__name__) + +PythonVersion = Sequence[int] +""" +A sequence of integers describing a Python version, e.g. ``(3, 13)``. + +.. versionadded:: 20.0 +""" + +AppleVersion = tuple[int, int] +""" +A ``(major, minor)`` integer pair describing an Apple OS version. + +.. versionadded:: 24.2 +""" +_T = TypeVar("_T") + +INTERPRETER_SHORT_NAMES: dict[str, str] = { + "python": "py", # Generic. + "cpython": "cp", + "pypy": "pp", + "ironpython": "ip", + "jython": "jy", +} + + +# This function can be unit tested without reloading the module +# (Unlike _32_BIT_INTERPRETER) +def _compute_32_bit_interpreter() -> bool: + return struct.calcsize("P") == 4 + + +_32_BIT_INTERPRETER = _compute_32_bit_interpreter() + + +class UnsortedTagsError(ValueError): + """ + Raised when a tag component is not in sorted order per PEP 425. + + .. versionadded:: 26.1 + """ + + +class InvalidTag(ValueError): + """ + Raised when an interpreter component is not an identifier, a tag component + is empty, or a tag does not have exactly three components. + + .. versionadded:: 26.3 + """ + + +class TooManyTagsError(ValueError): + """ + Raised when a compressed tag set exceeds the configured limit. + + .. versionadded:: 26.3 + """ + + +class Tag: + """ + A representation of the tag triple for a wheel. + + Instances are considered immutable and thus are hashable. Equality checking + is also supported. + + Instances are safe to serialize with :mod:`pickle`. They use a stable + format so the same pickle can be loaded in future packaging releases. + + .. versionchanged:: 26.2 + + Added a stable pickle format. Pickles created with packaging 26.2+ can + be unpickled with future releases. Backward compatibility with pickles + from packaging < 26.2 is supported but may be removed in a future + release. + """ + + __slots__ = ["_abi", "_hash", "_interpreter", "_platform"] + + def __init__(self, interpreter: str, abi: str, platform: str) -> None: + """ + :param str interpreter: The interpreter name, e.g. ``"py"`` + (see :attr:`INTERPRETER_SHORT_NAMES` for mapping + well-known interpreter names to their short names). + :param str abi: The ABI that a wheel supports, e.g. ``"cp37m"``. + :param str platform: The OS/platform the wheel supports, + e.g. ``"win_amd64"``. + """ + self._interpreter = interpreter.lower() + self._abi = abi.lower() + self._platform = platform.lower() + # The __hash__ of every single element in a Set[Tag] will be evaluated each time + # that a set calls its `.disjoint()` method, which may be called hundreds of + # times when scanning a page of links for packages with tags matching that + # Set[Tag]. Pre-computing the value here produces significant speedups for + # downstream consumers. + self._hash = hash((self._interpreter, self._abi, self._platform)) + + @property + def interpreter(self) -> str: + """ + The interpreter name, e.g. ``"py"`` (see + :attr:`INTERPRETER_SHORT_NAMES` for mapping well-known interpreter + names to their short names). + """ + return self._interpreter + + @property + def abi(self) -> str: + """ + The supported ABI. + """ + return self._abi + + @property + def platform(self) -> str: + """ + The OS/platform. + """ + return self._platform + + def __eq__(self, other: object) -> bool: + if not isinstance(other, Tag): + return NotImplemented + + return ( + (self._hash == other._hash) # Short-circuit ASAP for perf reasons. + and (self._platform == other._platform) + and (self._abi == other._abi) + and (self._interpreter == other._interpreter) + ) + + def __hash__(self) -> int: + return self._hash + + def __str__(self) -> str: + return f"{self._interpreter}-{self._abi}-{self._platform}" + + def __repr__(self) -> str: + return f"<{self} @ {id(self)}>" + + def __getstate__(self) -> tuple[str, str, str]: + # Return state as a 3-item tuple: (interpreter, abi, platform). + # Cache member _hash is excluded and will be recomputed. + return (self._interpreter, self._abi, self._platform) + + def __setstate__(self, state: object) -> None: + if isinstance(state, tuple): + if len(state) == 3 and all(isinstance(s, str) for s in state): + # New format (26.2+): (interpreter, abi, platform) + self._interpreter, self._abi, self._platform = state + self._hash = hash((self._interpreter, self._abi, self._platform)) + return + if len(state) == 2 and isinstance(state[1], dict): + # Old format (packaging <= 26.1, __slots__): (None, {slot: value}). + _, slots = state + try: + interpreter = slots["_interpreter"] + abi = slots["_abi"] + platform = slots["_platform"] + except KeyError: + raise TypeError(f"Cannot restore Tag from {state!r}") from None + if not all( + isinstance(value, str) for value in (interpreter, abi, platform) + ): + raise TypeError(f"Cannot restore Tag from {state!r}") + self._interpreter = interpreter.lower() + self._abi = abi.lower() + self._platform = platform.lower() + self._hash = hash((self._interpreter, self._abi, self._platform)) + return + raise TypeError(f"Cannot restore Tag from {state!r}") + + +def parse_tag( + tag: str, *, validate_order: bool = False, limit: int | None = None +) -> frozenset[Tag]: + """ + Parses the provided tag (e.g. `py3-none-any`) into a frozenset of + :class:`Tag` instances. + + Returning a set is required due to the possibility that the tag is a + `compressed tag set`_, e.g. ``"py2.py3-none-any"`` which supports both + Python 2 and Python 3. + + If **validate_order** is true, compressed tag set components are checked + to be in sorted order as required by PEP 425. + + If **limit** is not ``None``, the compressed tag set can generate at most + that many tags. + + :param str tag: The tag to parse, e.g. ``"py3-none-any"``. + :param bool validate_order: Check whether compressed tag set components + are in sorted order. + :param int | None limit: The maximum number of tags to parse. + :raises UnsortedTagsError: If **validate_order** is true and any compressed tag + set component is not in sorted order. + :raises InvalidTag: If the interpreter field is not an identifier; if the + interpreter, ABI, or platform field (or any member of a compressed tag + set) is empty; or if the tag does not have exactly three components. + :raises TooManyTagsError: If **limit** is not ``None`` and the compressed tag + set would generate more than **limit** tags. + :raises ValueError: If **limit** is negative. + + .. versionadded:: 26.1 + The *validate_order* parameter. + + .. versionadded:: 26.3 + Raises :class:`InvalidTag` when an interpreter component is not an + identifier, a tag component is empty, or a tag does not have exactly + three components. + Added the *limit* parameter. Raises :class:`TooManyTagsError` if the compressed + tag set would generate more than *limit* tags. + """ + + if limit is not None and limit < 0: + raise ValueError("limit must be non-negative") + + component_parts = [component.split(".") for component in tag.split("-")] + for parts in component_parts: + if "" in parts: + component = ".".join(parts) + raise InvalidTag(f"Tag {tag!r} has an empty component: {component!r}") + if validate_order and parts != sorted(parts): + component = ".".join(parts) + raise UnsortedTagsError( + f"Tag component {component!r} is not in sorted order per PEP 425" + ) + + tag_count = 1 + for parts in component_parts: + tag_count *= len(parts) + + if limit is not None and tag_count > limit: + raise TooManyTagsError( + f"Compressed tag set would generate {tag_count} tags, exceeding " + f"limit {limit}" + ) + + try: + interpreters, abis, platforms = component_parts + except ValueError as exc: + raise InvalidTag(f"Tag {tag!r} must have exactly three components") from exc + for interpreter in interpreters: + if not interpreter.isidentifier(): + raise InvalidTag(f"Tag {tag!r} has an invalid interpreter: {interpreter!r}") + return frozenset( + Tag(interpreter, abi, platform_) + for interpreter in interpreters + for abi in abis + for platform_ in platforms + ) + + +def _get_config_var(name: str, warn: bool = False) -> int | str | None: + value: int | str | None = sysconfig.get_config_var(name) + if value is None and warn: + logger.debug( + "Config variable '%s' is unset, Python ABI tag may be incorrect", name + ) + return value + + +def _normalize_string(string: str) -> str: + return string.replace(".", "_").replace("-", "_").replace(" ", "_") + + +def _is_threaded_cpython(abis: list[str]) -> bool: + """ + Determine if the ABI corresponds to a threaded (`--disable-gil`) build. + + The threaded builds are indicated by a "t" in the abiflags. + """ + if len(abis) == 0: + return False + # expect e.g., cp313 + m = re.match(r"cp\d+(.*)", abis[0]) + if not m: + return False + abiflags = m.group(1) + return "t" in abiflags + + +def _abi3_applies(python_version: PythonVersion, threading: bool) -> bool: + """ + Determine if the Python version supports abi3. + + PEP 384 was first implemented in Python 3.2. The free-threaded + builds do not support abi3. + """ + return len(python_version) > 1 and tuple(python_version) >= (3, 2) and not threading + + +def _abi3t_applies(python_version: PythonVersion, threading: bool) -> bool: + """ + Determine if the Python version supports abi3t. + + PEP 803 was first implemented in Python 3.15 but, per PEP 803, this + returns tags going back to Python 3.2 to mirror the abi3 + implementation and leave open the possibility of abi3t wheels + supporting older Python versions. + + """ + return len(python_version) > 1 and tuple(python_version) >= (3, 2) and threading + + +def _cpython_abis(py_version: PythonVersion, warn: bool = False) -> list[str]: + py_version = tuple(py_version) # To allow for version comparison. + abis = [] + version = _version_nodot(py_version[:2]) + threading = debug = pymalloc = ucs4 = "" + with_debug = _get_config_var("Py_DEBUG", warn) + has_refcount = hasattr(sys, "gettotalrefcount") + # Windows doesn't set Py_DEBUG, so checking for support of debug-compiled + # extension modules is the best option. + # https://github.com/pypa/pip/issues/3383#issuecomment-173267692 + has_ext = "_d.pyd" in EXTENSION_SUFFIXES + if with_debug or (with_debug is None and (has_refcount or has_ext)): + debug = "d" + if py_version >= (3, 13) and _get_config_var("Py_GIL_DISABLED", warn): + threading = "t" + if py_version < (3, 8): + with_pymalloc = _get_config_var("WITH_PYMALLOC", warn) + if with_pymalloc or with_pymalloc is None: + pymalloc = "m" + if py_version < (3, 3): + unicode_size = _get_config_var("Py_UNICODE_SIZE", warn) + if unicode_size == 4 or ( + unicode_size is None and sys.maxunicode == 0x10FFFF + ): + ucs4 = "u" + elif debug: + # Debug builds can also load "normal" extension modules. + # We can also assume no UCS-4 or pymalloc requirement. + abis.append(f"cp{version}{threading}") + abis.insert(0, f"cp{version}{threading}{debug}{pymalloc}{ucs4}") + return abis + + +def cpython_tags( + python_version: PythonVersion | None = None, + abis: Iterable[str] | None = None, + platforms: Iterable[str] | None = None, + *, + warn: bool = False, +) -> Iterator[Tag]: + """ + Yields the tags for the CPython interpreter. + + The specific tags generated are: + + - ``cp--`` + - ``cp--`` + - ``cp-none-`` + - ``cp--`` where "older version" is all older + minor versions down to Python 3.2 (when ``abi3`` was introduced) + + If ``python_version`` only provides a major-only version then only + user-provided ABIs via ``abis`` and the ``none`` ABI will be used. + + The ``stable_abi`` will be either ``abi3`` or ``abi3t`` if `abi` is a + GIL-enabled ABI like `"cp315"` or a free-threaded ABI like `"cp315t"`, + respectively. + + :param Sequence python_version: A one- or two-item sequence representing the + targeted Python version. Defaults to + ``sys.version_info[:2]``. + :param Iterable abis: Iterable of compatible ABIs. Defaults to the ABIs + compatible with the current system. + :param Iterable platforms: Iterable of compatible platforms. Defaults to the + platforms compatible with the current system. + :param bool warn: Whether warnings should be logged. Defaults to ``False``. + + .. versionadded:: 20.0 + """ + if not python_version: + python_version = sys.version_info[:2] + + interpreter = f"cp{_version_nodot(python_version[:2])}" + + if abis is None: + abis = _cpython_abis(python_version, warn) if len(python_version) > 1 else [] + abis = list(abis) + threading = _is_threaded_cpython(abis) + # Stable ABIs and 'none' are explicitly handled later. + explicit_abis = ("abi3", "abi3t", "none") if threading else ("abi3", "none") + for explicit_abi in explicit_abis: + try: + abis.remove(explicit_abi) + except ValueError: # noqa: PERF203 + pass + + platforms = list(platforms or platform_tags()) + for abi in abis: + for platform_ in platforms: + yield Tag(interpreter, abi, platform_) + + use_abi3 = _abi3_applies(python_version, threading) + use_abi3t = _abi3t_applies(python_version, threading) + if use_abi3: + yield from (Tag(interpreter, "abi3", platform_) for platform_ in platforms) + if use_abi3t: + yield from (Tag(interpreter, "abi3t", platform_) for platform_ in platforms) + + yield from (Tag(interpreter, "none", platform_) for platform_ in platforms) + + if use_abi3 or use_abi3t: + for minor_version in range(python_version[1] - 1, 1, -1): + for platform_ in platforms: + version = _version_nodot((python_version[0], minor_version)) + interpreter = f"cp{version}" + if use_abi3: + yield Tag(interpreter, "abi3", platform_) + if use_abi3t: + # Support for abi3t was introduced in Python 3.15, but in + # principle abi3t wheels are possible for older limited API + # versions, so allow things like ("cp37", "abi3t", "platform") + yield Tag(interpreter, "abi3t", platform_) + + +def _generic_abi() -> list[str]: + """ + Return the ABI tag based on EXT_SUFFIX. + """ + # The following are examples of `EXT_SUFFIX`. + # We want to keep the parts which are related to the ABI and remove the + # parts which are related to the platform: + # - linux: '.cpython-310-x86_64-linux-gnu.so' => cp310 + # - mac: '.cpython-310-darwin.so' => cp310 + # - win: '.cp310-win_amd64.pyd' => cp310 + # - win: '.pyd' => cp37 (uses _cpython_abis()) + # - pypy: '.pypy38-pp73-x86_64-linux-gnu.so' => pypy38_pp73 + # - graalpy: '.graalpy-38-native-x86_64-darwin.dylib' + # => graalpy_38_native + + ext_suffix = _get_config_var("EXT_SUFFIX", warn=True) + if not isinstance(ext_suffix, str) or not ext_suffix.startswith("."): + raise SystemError("invalid sysconfig.get_config_var('EXT_SUFFIX')") + parts = ext_suffix.split(".") + if len(parts) < 3: + # CPython3.7 and earlier uses ".pyd" on Windows. + return _cpython_abis(sys.version_info[:2]) + soabi = parts[1] + if soabi.startswith("cpython"): + # non-windows + cpython_parts = soabi.split("-") + if len(cpython_parts) < 2 or not cpython_parts[1]: + raise SystemError("invalid sysconfig.get_config_var('EXT_SUFFIX')") + abi = "cp" + cpython_parts[1] + elif soabi.startswith("cp"): + # windows + abi = soabi.split("-")[0] + elif soabi.startswith("pypy"): + abi = "-".join(soabi.split("-")[:2]) + elif soabi.startswith("graalpy"): + abi = "-".join(soabi.split("-")[:3]) + elif soabi: + # pyston, ironpython, others? + abi = soabi + else: + return [] + return [_normalize_string(abi)] + + +def generic_tags( + interpreter: str | None = None, + abis: Iterable[str] | None = None, + platforms: Iterable[str] | None = None, + *, + warn: bool = False, +) -> Iterator[Tag]: + """ + Yields the tags for an interpreter which requires no specialization. + + This function should be used if one of the other interpreter-specific + functions provided by this module is not appropriate (i.e. not calculating + tags for a CPython interpreter). + + The specific tags generated are: + + - ``--`` + + The ``"none"`` ABI will be added if it was not explicitly provided. + + :param str interpreter: The name of the interpreter. Defaults to being + calculated. + :param Iterable abis: Iterable of compatible ABIs. Defaults to the ABIs + compatible with the current system. + :param Iterable platforms: Iterable of compatible platforms. Defaults to the + platforms compatible with the current system. + :param bool warn: Whether warnings should be logged. Defaults to ``False``. + + .. versionadded:: 20.0 + """ + if not interpreter: + interp_name = interpreter_name() + interp_version = interpreter_version(warn=warn) + interpreter = f"{interp_name}{interp_version}" + abis = _generic_abi() if abis is None else list(abis) + platforms = list(platforms or platform_tags()) + if "none" not in abis: + abis.append("none") + for abi in abis: + for platform_ in platforms: + yield Tag(interpreter, abi, platform_) + + +def _py_interpreter_range(py_version: PythonVersion) -> Iterator[str]: + """ + Yields Python versions in descending order. + + After the latest version, the major-only version will be yielded, and then + all previous versions of that major version. + """ + if len(py_version) > 1: + yield f"py{_version_nodot(py_version[:2])}" + yield f"py{py_version[0]}" + if len(py_version) > 1: + for minor in range(py_version[1] - 1, -1, -1): + yield f"py{_version_nodot((py_version[0], minor))}" + + +def pure_python_tags( + python_version: PythonVersion | None = None, +) -> Iterator[Tag]: + """ + Yields the pure-Python tags compatible with ``python_version``. + + The tags use the ``"none"`` ABI and ``"any"`` platform, so their + generation does not depend on the running platform. + + .. versionadded:: 26.3 + + :param Sequence python_version: A one- or two-item sequence representing the + compatible version of Python. Defaults to + ``sys.version_info[:2]``. + :raises ValueError: If ``python_version`` is an empty sequence. + """ + if python_version is None: + python_version = sys.version_info[:2] + elif not python_version: + raise ValueError("python_version must contain at least one item") + for version in _py_interpreter_range(python_version): + yield Tag(version, "none", "any") + + +def compatible_tags( + python_version: PythonVersion | None = None, + interpreter: str | None = None, + platforms: Iterable[str] | None = None, +) -> Iterator[Tag]: + """ + Yields the tags for an interpreter compatible with the Python version + specified by ``python_version``. + + The specific tags generated are: + + - ``py*-none-`` + - ``-none-any`` if ``interpreter`` is provided + - ``py*-none-any`` + + :param Sequence python_version: A one- or two-item sequence representing the + compatible version of Python. Defaults to + ``sys.version_info[:2]``. + :param str interpreter: The name of the interpreter (if known), e.g. + ``"cp38"``. Defaults to the current interpreter. + :param Iterable platforms: Iterable of compatible platforms. Defaults to the + platforms compatible with the current system. + + .. versionadded:: 20.0 + """ + if not python_version: + python_version = sys.version_info[:2] + platforms = list(platforms or platform_tags()) + for version in _py_interpreter_range(python_version): + for platform_ in platforms: + yield Tag(version, "none", platform_) + if interpreter: + yield Tag(interpreter, "none", "any") + yield from pure_python_tags(python_version) + + +def _mac_arch(arch: str, is_32bit: bool = _32_BIT_INTERPRETER) -> str: + if not is_32bit: + return arch + + if arch.startswith("ppc"): + return "ppc" + + return "i386" + + +def _mac_binary_formats(version: AppleVersion, cpu_arch: str) -> list[str]: + formats = [cpu_arch] + if cpu_arch == "x86_64": + if version < (10, 4): + return [] + formats.extend(["intel", "fat64", "fat3"]) + + elif cpu_arch == "i386": + if version < (10, 4): + return [] + formats.extend(["intel", "fat3", "fat"]) + + elif cpu_arch == "ppc64": + # TODO: Need to care about 32-bit PPC for ppc64 through 10.2? + if version > (10, 5) or version < (10, 4): + return [] + formats.append("fat64") + + elif cpu_arch == "ppc": + if version > (10, 6): + return [] + formats.extend(["fat3", "fat"]) + + if cpu_arch in {"arm64", "x86_64"}: + formats.append("universal2") + + if cpu_arch in {"x86_64", "i386", "ppc64", "ppc", "intel"}: + formats.append("universal") + + return formats + + +def mac_platforms( + version: AppleVersion | None = None, arch: str | None = None +) -> Iterator[str]: + """ + Yields the :attr:`~Tag.platform` tags for macOS. + + The `version` parameter is a two-item tuple specifying the macOS version to + generate platform tags for. The `arch` parameter is the CPU architecture to + generate platform tags for. Both parameters default to the appropriate value + for the current system. + + :param tuple version: A two-item tuple representing the version of macOS. + Defaults to the current system's version. + :param str arch: The CPU architecture. Defaults to the architecture of the + current system, e.g. ``"x86_64"``. + + .. note:: + Equivalent support for the other major platforms is purposefully not + provided: + + - On Windows, platform compatibility is statically specified + - On Linux, code must be run on the system itself to determine + compatibility + + .. versionadded:: 20.0 + """ + if version is None or arch is None: + version_str, _, cpu_arch = platform.mac_ver() + if version is None: + version = cast("AppleVersion", tuple(map(int, version_str.split(".")[:2]))) + if version == (10, 16): + # When built against an older macOS SDK, Python will report macOS 10.16 + # instead of the real version. + version_str = subprocess.run( + [ + sys.executable, + "-sS", + "-c", + "import platform; print(platform.mac_ver()[0])", + ], + check=True, + env={"SYSTEM_VERSION_COMPAT": "0"}, + stdout=subprocess.PIPE, + text=True, + ).stdout + version = cast( + "AppleVersion", tuple(map(int, version_str.split(".")[:2])) + ) + if arch is None: + arch = _mac_arch(cpu_arch) + + if (10, 0) <= version < (11, 0): + # Prior to Mac OS 11, each yearly release of Mac OS bumped the + # "minor" version number. The major version was always 10. + major_version = 10 + for minor_version in range(version[1], -1, -1): + compat_version = major_version, minor_version + binary_formats = _mac_binary_formats(compat_version, arch) + for binary_format in binary_formats: + yield f"macosx_{major_version}_{minor_version}_{binary_format}" + + if version >= (11, 0): + # Starting with Mac OS 11, each yearly release bumps the major version + # number. The minor versions are now the midyear updates. + minor_version = 0 + for major_version in range(version[0], 10, -1): + compat_version = major_version, minor_version + binary_formats = _mac_binary_formats(compat_version, arch) + for binary_format in binary_formats: + yield f"macosx_{major_version}_{minor_version}_{binary_format}" + + # Mac OS 11 on x86_64 is compatible with binaries from previous releases. + # Arm64 support was introduced in 11.0, so no Arm binaries from previous + # releases exist. + # + # However, the "universal2" binary format can have a + # macOS version earlier than 11.0 when the x86_64 part of the binary supports + # that version of macOS. + major_version = 10 + if arch == "x86_64": + for minor_version in range(16, 3, -1): + compat_version = major_version, minor_version + binary_formats = _mac_binary_formats(compat_version, arch) + for binary_format in binary_formats: + yield f"macosx_{major_version}_{minor_version}_{binary_format}" + else: + for minor_version in range(16, 3, -1): + compat_version = major_version, minor_version + binary_format = "universal2" + yield f"macosx_{major_version}_{minor_version}_{binary_format}" + + +def ios_platforms( + version: AppleVersion | None = None, multiarch: str | None = None +) -> Iterator[str]: + """ + + Yields the :attr:`~Tag.platform` tags for iOS. + + :param tuple version: A two-item tuple representing the version of iOS. + Defaults to the current system's version. + :param str multiarch: The CPU architecture+ABI to be used. This should be in + the format by ``sys.implementation._multiarch`` (e.g., + ``arm64_iphoneos`` or ``x86_64_iphonesimulator``). + Defaults to the current system's multiarch value. + + .. note:: + Behavior of this method is undefined if invoked on non-iOS platforms + without providing explicit version and multiarch arguments. + + .. versionadded:: 24.2 + """ + if version is None: + # if iOS is the current platform, ios_ver *must* be defined. However, + # it won't exist for CPython versions before 3.13, which causes a mypy + # error. + _, release, _, _ = platform.ios_ver() # type: ignore[attr-defined, unused-ignore] + version = cast("AppleVersion", tuple(map(int, release.split(".")[:2]))) + + if multiarch is None: + multiarch = sys.implementation._multiarch + multiarch = multiarch.replace("-", "_") + + ios_platform_template = "ios_{major}_{minor}_{multiarch}" + + # Consider any iOS major.minor version from the version requested, down to + # 12.0. 12.0 is the first iOS version that is known to have enough features + # to support CPython. Consider every possible minor release up to X.9. There + # highest the minor has ever gone is 8 (14.8 and 15.8) but having some extra + # candidates that won't ever match doesn't really hurt, and it saves us from + # having to keep an explicit list of known iOS versions in the code. Return + # the results descending order of version number. + + # If the requested major version is less than 12, there won't be any matches. + if version[0] < 12: + return + + # Consider the actual X.Y version that was requested. + yield ios_platform_template.format( + major=version[0], minor=version[1], multiarch=multiarch + ) + + # Consider every minor version from X.0 to the minor version prior to the + # version requested by the platform. + for minor in range(version[1] - 1, -1, -1): + yield ios_platform_template.format( + major=version[0], minor=minor, multiarch=multiarch + ) + + for major in range(version[0] - 1, 11, -1): + for minor in range(9, -1, -1): + yield ios_platform_template.format( + major=major, minor=minor, multiarch=multiarch + ) + + +def android_platforms( + api_level: int | None = None, abi: str | None = None +) -> Iterator[str]: + """ + Yields the :attr:`~Tag.platform` tags for Android. If this function is invoked on + non-Android platforms, the ``api_level`` and ``abi`` arguments are required. + + :param int api_level: The maximum `API level + `__ to return. Defaults + to the current system's version, as returned by ``platform.android_ver``. + :param str abi: The `Android ABI `__, + e.g. ``arm64_v8a``. Defaults to the current system's ABI , as returned by + ``sysconfig.get_platform``. Hyphens and periods will be replaced with + underscores. + + .. versionadded:: 25.0 + """ + if platform.system() != "Android" and (api_level is None or abi is None): + raise TypeError( + "on non-Android platforms, the api_level and abi arguments are required" + ) + + if api_level is None: + # Python 3.13 was the first version to return platform.system() == "Android", + # and also the first version to define platform.android_ver(). + api_level = platform.android_ver().api_level # type: ignore[attr-defined] + + if abi is None: + abi = sysconfig.get_platform().split("-")[-1] + abi = _normalize_string(abi) + + # 16 is the minimum API level known to have enough features to support CPython + # without major patching. Yield every API level from the maximum down to the + # minimum, inclusive. + min_api_level = 16 + for ver in range(api_level, min_api_level - 1, -1): + yield f"android_{ver}_{abi}" + + +def _linux_platforms(is_32bit: bool = _32_BIT_INTERPRETER) -> Iterator[str]: + linux = _normalize_string(sysconfig.get_platform()) + if not linux.startswith("linux_"): + # we should never be here, just yield the sysconfig one and return + yield linux + return + if is_32bit: + if linux == "linux_x86_64": + linux = "linux_i686" + elif linux == "linux_aarch64": + linux = "linux_armv8l" + _, arch = linux.split("_", 1) + archs = {"armv8l": ["armv8l", "armv7l"]}.get(arch, [arch]) + for arch in archs: + yield f"linux_{arch}" + yield from _manylinux.platform_tags(archs) + yield from _musllinux.platform_tags(archs) + + +def _emscripten_platforms() -> Iterator[str]: + pyemscripten_platform_version = sysconfig.get_config_var( + "PYEMSCRIPTEN_PLATFORM_VERSION" + ) + if pyemscripten_platform_version: + yield f"pyemscripten_{pyemscripten_platform_version}_wasm32" + yield from _generic_platforms() + + +def _generic_platforms() -> Iterator[str]: + yield _normalize_string(sysconfig.get_platform()) + + +def platform_tags() -> Iterator[str]: + """ + Yields the :attr:`~Tag.platform` tags for the running interpreter. + + .. versionadded:: 21.1 + """ + if platform.system() == "Darwin": + return mac_platforms() + elif platform.system() == "iOS": + return ios_platforms() + elif platform.system() == "Android": + return android_platforms() + elif platform.system() == "Linux": + return _linux_platforms() + elif platform.system() == "Emscripten": + return _emscripten_platforms() + else: + return _generic_platforms() + + +def interpreter_name() -> str: + """ + Returns the name of the running interpreter. + + Some implementations have a reserved, two-letter abbreviation which will + be returned when appropriate. + + This typically acts as the prefix to the :attr:`~Tag.interpreter` tag. + + .. versionadded:: 20.0 + """ + name = sys.implementation.name + return INTERPRETER_SHORT_NAMES.get(name) or name + + +def interpreter_version(*, warn: bool = False) -> str: + """ + Returns the running interpreter's version. + + This typically acts as the suffix to the :attr:`~Tag.interpreter` tag. + + :param bool warn: Whether warnings should be logged. Defaults to ``False``. + + .. versionadded:: 20.0 + """ + version = _get_config_var("py_version_nodot", warn=warn) + return str(version) if version else _version_nodot(sys.version_info[:2]) + + +def _version_nodot(version: PythonVersion) -> str: + return "".join(map(str, version)) + + +def sys_tags(*, warn: bool = False) -> Iterator[Tag]: + """ + Yields the sequence of tag triples that the running interpreter supports. + + The iterable is ordered so that the best-matching tag is first in the + sequence. The exact preferential order to tags is interpreter-specific, but + in general the tag importance is in the order of: + + 1. Interpreter + 2. Platform + 3. ABI + + This order is due to the fact that an ABI is inherently tied to the + platform, but platform-specific code is not necessarily tied to the ABI. The + interpreter is the most important tag as it dictates basic support for any + wheel. + + The function returns an iterable in order to allow for the possible + short-circuiting of tag generation if the entire sequence is not necessary + and tag calculation happens to be expensive. + + :param bool warn: Whether warnings should be logged. Defaults to ``False``. + + .. versionchanged:: 21.3 + Added the `pp3-none-any` tag (:issue:`311`). + .. versionchanged:: 26.1 + Added the `abi3t` tag (:issue:`1099`). + .. versionchanged:: 26.3 + Native ``linux_*`` platform tags are now ordered before ``manylinux`` + and ``musllinux`` tags (:issue:`160`). + """ + + interp_name = interpreter_name() + if interp_name == "cp": + yield from cpython_tags(warn=warn) + else: + yield from generic_tags(warn=warn) + + if interp_name == "pp": + interp = "pp3" + elif interp_name == "cp": + interp = "cp" + interpreter_version(warn=warn) + else: + interp = None + yield from compatible_tags(interpreter=interp) + + +def create_compatible_tags_selector( + tags: Iterable[Tag], +) -> Callable[[Iterable[tuple[_T, AbstractSet[Tag]]]], Iterator[_T]]: + """Create a callable to select things compatible with supported tags. + + This function accepts an ordered sequence of tags, with the preferred + tags first. + + The returned callable accepts an iterable of tuples (thing, set[Tag]), + and returns an iterator of things, with the things with the best + matching tags first. + + Example to select compatible wheel filenames: + + >>> from packaging import tags + >>> from packaging.utils import parse_wheel_filename + >>> selector = tags.create_compatible_tags_selector(tags.sys_tags()) + >>> filenames = ["foo-1.0-py3-none-any.whl", "foo-1.0-py2-none-any.whl"] + >>> list(selector([ + ... (filename, parse_wheel_filename(filename)[-1]) for filename in filenames + ... ])) + ['foo-1.0-py3-none-any.whl'] + + .. versionadded:: 26.1 + """ + tag_ranks: dict[Tag, int] = {} + for rank, tag in enumerate(tags): + tag_ranks.setdefault(tag, rank) # ignore duplicate tags, keep first + supported_tags = tag_ranks.keys() + + def selector( + tagged_things: Iterable[tuple[_T, AbstractSet[Tag]]], + ) -> Iterator[_T]: + ranked_things: list[tuple[_T, int]] = [] + for thing, thing_tags in tagged_things: + supported_thing_tags = thing_tags & supported_tags + if supported_thing_tags: + thing_rank = min(tag_ranks[t] for t in supported_thing_tags) + ranked_things.append((thing, thing_rank)) + return iter( + thing for thing, _ in sorted(ranked_things, key=operator.itemgetter(1)) + ) + + return selector diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/utils.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/utils.py new file mode 100644 index 0000000000000000000000000000000000000000..2f0ce20744749bcf3aea28177eb764ed2afa7c85 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/utils.py @@ -0,0 +1,370 @@ +# This file is dual licensed under the terms of the Apache License, Version +# 2.0, and the BSD License. See the LICENSE file in the root of this repository +# for complete details. + +from __future__ import annotations + +import re +from typing import NewType, Union, cast + +from .tags import InvalidTag, Tag, UnsortedTagsError, parse_tag +from .version import InvalidVersion, Version, _TrimmedRelease + +__all__ = [ + "BuildTag", + "InvalidName", + "InvalidSdistFilename", + "InvalidWheelFilename", + "NormalizedName", + "canonicalize_name", + "canonicalize_version", + "is_normalized_name", + "parse_sdist_filename", + "parse_wheel_filename", +] + + +def __dir__() -> list[str]: + return __all__ + + +BuildTag = Union[tuple[()], tuple[int, str]] +""" +A wheel build tag: an empty tuple, or a ``(build number, build tag suffix)`` pair. + +.. versionadded:: 20.9 +""" + +NormalizedName = NewType("NormalizedName", str) +""" +A :class:`typing.NewType` of :class:`str`, representing a normalized name. + +.. versionadded:: 20.4 +""" + + +class InvalidName(ValueError): + """ + An invalid distribution name; users should refer to the packaging user guide. + + .. versionadded:: 23.2 + """ + + +class InvalidWheelFilename(ValueError): + """ + An invalid wheel filename was found, users should refer to PEP 427. + + .. versionadded:: 20.9 + """ + + +class InvalidSdistFilename(ValueError): + """ + An invalid sdist filename was found, users should refer to the packaging user guide. + + .. versionadded:: 20.9 + """ + + +# Core metadata spec for `Name` +_validate_regex = re.compile( + r"[a-z0-9]|[a-z0-9][a-z0-9._-]*[a-z0-9]", re.IGNORECASE | re.ASCII +) +_normalized_regex = re.compile(r"[a-z0-9]+(?:-[a-z0-9]+)*", re.ASCII) +# PEP 427: The build number must start with a digit. +_build_tag_regex = re.compile(r"(\d+)(.*)", re.ASCII) +# PEP 427: Valid characters for an escaped project name in a wheel filename. +# Requires at least one character so an empty project name is rejected. +_wheel_name_regex = re.compile(r"^[\w._]+\Z", re.UNICODE) + + +def canonicalize_name(name: str, *, validate: bool = False) -> NormalizedName: + """ + This function takes a valid Python package or extra name, and returns the + normalized form of it. + + The return type is typed as :class:`NormalizedName`. This allows type + checkers to help require that a string has passed through this function + before use. + + If **validate** is true, then the function will check if **name** is a valid + distribution name before normalizing. + + :param str name: The name to normalize. + :param bool validate: Check whether the name is a valid distribution name. + :raises InvalidName: If **validate** is true and the name is not an + acceptable distribution name. + + >>> from packaging.utils import canonicalize_name + >>> canonicalize_name("Django") + 'django' + >>> canonicalize_name("oslo.concurrency") + 'oslo-concurrency' + >>> canonicalize_name("requests") + 'requests' + + .. versionadded:: 16.2 + + .. versionchanged:: 20.4 + The return type was changed to :class:`NormalizedName`. + + .. versionchanged:: 23.2 + Added the *validate* keyword parameter. + """ + if validate and not _validate_regex.fullmatch(name): + raise InvalidName(f"name is invalid: {name!r}") + # Ensure all ``.`` and ``_`` are ``-`` + # Emulates ``re.sub(r"[-_.]+", "-", name).lower()`` from PEP 503 + # Much faster than re, and even faster than str.translate + value = name.lower().replace("_", "-").replace(".", "-") + # Condense repeats (faster than regex) + while "--" in value: + value = value.replace("--", "-") + return cast("NormalizedName", value) + + +def is_normalized_name(name: str) -> bool: + """ + Check if a name is a normalized project name (i.e. a valid name that + :func:`canonicalize_name` would roundtrip to the same value). + + The roundtrip only characterizes normalized names for *valid* names. A name + must start and end with an ASCII letter or digit, which + :func:`canonicalize_name` does not enforce: it leaves a leading or trailing + hyphen in place, so such a name roundtrips without being normalized. + + :param str name: The name to check. + + >>> from packaging.utils import canonicalize_name, is_normalized_name + >>> is_normalized_name("requests") + True + >>> is_normalized_name("Django") + False + >>> canonicalize_name("_not_legal") + '-not-legal' + >>> is_normalized_name("-not-legal") # roundtrips, but not a valid name + False + + .. versionadded:: 23.2 + """ + return _normalized_regex.fullmatch(name) is not None + + +def canonicalize_version( + version: Version | str, *, strip_trailing_zero: bool = True +) -> str: + """Return a canonical form of a version as a string. + + This function takes a string representing a package version (or a + :class:`~packaging.version.Version` instance), and returns the + normalized form of it. By default, it strips trailing zeros from + the release segment. + + >>> from packaging.utils import canonicalize_version + >>> canonicalize_version('1.0.1') + '1.0.1' + + Per PEP 625, versions may have multiple canonical forms, differing + only by trailing zeros. + + >>> canonicalize_version('1.0.0') + '1' + >>> canonicalize_version('1.0.0', strip_trailing_zero=False) + '1.0.0' + + Invalid versions are returned unaltered. + + >>> canonicalize_version('foo bar baz') + 'foo bar baz' + + >>> canonicalize_version('1.4.0.0.0') + '1.4' + + .. versionadded:: 17.1 + + .. versionchanged:: 21.0 + The return type was narrowed to :class:`str`. + + .. versionchanged:: 22.0 + Added the *strip_trailing_zero* keyword parameter. + """ + if isinstance(version, str): + try: + version = Version(version) + except InvalidVersion: + return str(version) + return str(_TrimmedRelease(version) if strip_trailing_zero else version) + + +def parse_wheel_filename( + filename: str, + *, + validate_order: bool = False, +) -> tuple[NormalizedName, Version, BuildTag, frozenset[Tag]]: + """ + This function takes the filename of a wheel file, and parses it, + returning a tuple of name, version, build number, and tags. + + The name part of the tuple is normalized and typed as + :class:`NormalizedName`. The version portion is an instance of + :class:`~packaging.version.Version`. The build number is ``()`` if + there is no build number in the wheel filename, otherwise a + two-item tuple of an integer for the leading digits and + a string for the rest of the build number. The tags portion is a + frozen set of :class:`~packaging.tags.Tag` instances (as the tag + string format allows multiple tags to be combined into a single + string). + + If **validate_order** is true, compressed tag set components are + checked to be in sorted order as required by PEP 425. + + :param str filename: The name of the wheel file. + :param bool validate_order: Check whether compressed tag set components + are in sorted order. + :raises InvalidWheelFilename: If the filename in question + does not follow the :ref:`wheel specification + `. + + >>> from packaging.utils import parse_wheel_filename + >>> from packaging.tags import Tag + >>> from packaging.version import Version + >>> name, ver, build, tags = parse_wheel_filename("foo-1.0-py3-none-any.whl") + >>> name + 'foo' + >>> ver == Version('1.0') + True + >>> tags == {Tag("py3", "none", "any")} + True + >>> not build + True + + .. versionadded:: 20.9 + + .. versionchanged:: 23.2 + Raises :class:`InvalidWheelFilename` when the version component is invalid. + + .. versionadded:: 26.1 + The *validate_order* parameter. + + .. versionchanged:: 26.3 + Raises :class:`InvalidWheelFilename` when an interpreter component is + not an identifier, a tag set component is empty, or the project name is + empty. + """ + if not filename.endswith(".whl"): + raise InvalidWheelFilename( + f"Invalid wheel filename (extension must be '.whl'): {filename!r}" + ) + + filename = filename[:-4] + dashes = filename.count("-") + if dashes not in (4, 5): + raise InvalidWheelFilename( + f"Invalid wheel filename (wrong number of parts): {filename!r}" + ) + + parts = filename.split("-", dashes - 2) + name_part = parts[0] + # See PEP 427 for the rules on escaping the project name. + if "__" in name_part or _wheel_name_regex.match(name_part) is None: + raise InvalidWheelFilename(f"Invalid project name: {filename!r}") + name = canonicalize_name(name_part) + + try: + version = Version(parts[1]) + except InvalidVersion as e: + raise InvalidWheelFilename( + f"Invalid wheel filename (invalid version): {filename!r}" + ) from e + + if dashes == 5: + build_part = parts[2] + build_match = _build_tag_regex.match(build_part) + if build_match is None: + raise InvalidWheelFilename( + f"Invalid build number: {build_part} in {filename!r}" + ) + build = cast("BuildTag", (int(build_match.group(1)), build_match.group(2))) + else: + build = () + tag_str = parts[-1] + try: + tags = parse_tag(tag_str, validate_order=validate_order) + except UnsortedTagsError: + raise InvalidWheelFilename( + f"Invalid wheel filename (compressed tag set components must be in " + f"sorted order per PEP 425): {filename!r}" + ) from None + except InvalidTag: + raise InvalidWheelFilename( + f"Invalid wheel filename (invalid tag component): {filename!r}" + ) from None + return (name, version, build, tags) + + +def parse_sdist_filename(filename: str) -> tuple[NormalizedName, Version]: + """ + This function takes the filename of a sdist file (as specified + in the `Source distribution format`_ documentation), and parses + it, returning a tuple of the normalized name and version as + represented by an instance of :class:`~packaging.version.Version`. + + :param str filename: The name of the sdist file. + :raises InvalidSdistFilename: If the filename does not end + with an sdist extension (``.zip`` or ``.tar.gz``), if it does not + contain a dash separating the name and the version of the distribution, + if the project name is empty, or if the version portion is not a valid + version. + + >>> from packaging.utils import parse_sdist_filename + >>> from packaging.version import Version + >>> name, ver = parse_sdist_filename("foo-1.0.tar.gz") + >>> name + 'foo' + >>> ver == Version('1.0') + True + + .. versionadded:: 20.9 + + .. versionchanged:: 21.0 + Added support for ``.zip`` source distributions. + + .. versionchanged:: 23.2 + Raises :class:`InvalidSdistFilename` when the version component is invalid. + + .. versionchanged:: 26.3 + Raises :class:`InvalidSdistFilename` on an empty project name. + + .. _Source distribution format: https://packaging.python.org/specifications/source-distribution-format/#source-distribution-file-name + """ + if filename.endswith(".tar.gz"): + file_stem = filename[: -len(".tar.gz")] + elif filename.endswith(".zip"): + file_stem = filename[: -len(".zip")] + else: + raise InvalidSdistFilename( + f"Invalid sdist filename (extension must be '.tar.gz' or '.zip'):" + f" {filename!r}" + ) + + # We are requiring a PEP 440 version, which cannot contain dashes, + # so we split on the last dash. + name_part, sep, version_part = file_stem.rpartition("-") + if not sep: + raise InvalidSdistFilename(f"Invalid sdist filename: {filename!r}") + if not name_part: + raise InvalidSdistFilename( + f"Invalid sdist filename (empty project name): {filename!r}" + ) + + name = canonicalize_name(name_part) + + try: + version = Version(version_part) + except InvalidVersion as e: + raise InvalidSdistFilename( + f"Invalid sdist filename (invalid version): {filename!r}" + ) from e + + return (name, version) diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/version.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/version.py new file mode 100644 index 0000000000000000000000000000000000000000..5a964bd22fd540dcb5e5f1ef13510346c28800b3 --- /dev/null +++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/packaging/version.py @@ -0,0 +1,1252 @@ +# This file is dual licensed under the terms of the Apache License, Version +# 2.0, and the BSD License. See the LICENSE file in the root of this repository +# for complete details. +""" +.. testsetup:: + + from packaging.version import parse, normalize_pre, Version, _cmpkey +""" + +from __future__ import annotations + +import re +import sys +import typing +from typing import ( + Any, + Callable, + Literal, + NamedTuple, + SupportsInt, + TypedDict, + Union, +) + +if typing.TYPE_CHECKING: + from typing_extensions import Self, Unpack + +if sys.version_info >= (3, 13): # pragma: no cover + from warnings import deprecated as _deprecated +elif typing.TYPE_CHECKING: + from typing_extensions import deprecated as _deprecated +else: # pragma: no cover + import functools + import warnings + + def _deprecated(message: str) -> object: + def decorator(func: Callable[[...], object]) -> object: + @functools.wraps(func) + def wrapper(*args: object, **kwargs: object) -> object: + warnings.warn( + message, + category=DeprecationWarning, + stacklevel=2, + ) + return func(*args, **kwargs) + + return wrapper + + return decorator + + +_LETTER_NORMALIZATION = { + "alpha": "a", + "beta": "b", + "c": "rc", + "pre": "rc", + "preview": "rc", + "rev": "post", + "r": "post", +} + +__all__ = ["VERSION_PATTERN", "InvalidVersion", "Version", "normalize_pre", "parse"] + + +def __dir__() -> list[str]: + return __all__ + + +LocalType = tuple[Union[int, str], ...] + +CmpLocalType = tuple[tuple[int, str], ...] +CmpSuffix = tuple[int, int, int, int, int, int] +CmpKey = Union[ + tuple[int, tuple[int, ...], CmpSuffix], + tuple[int, tuple[int, ...], CmpSuffix, CmpLocalType], +] +VersionComparisonMethod = Callable[[CmpKey, CmpKey], bool] + + +class _VersionReplace(TypedDict, total=False): + epoch: int | None + release: tuple[int, ...] | None + pre: tuple[str, int] | None + post: int | None + dev: int | None + local: str | None + + +def normalize_pre(letter: str, /) -> str: + """Normalize the pre-release segment of a version string. + + Returns a lowercase version of the string if not a known pre-release + identifier. + + >>> normalize_pre('alpha') + 'a' + >>> normalize_pre('BETA') + 'b' + >>> normalize_pre('rc') + 'rc' + + :param letter: + + .. versionadded:: 26.1 + """ + letter = letter.lower() + return _LETTER_NORMALIZATION.get(letter, letter) + + +def parse(version: str) -> Version: + """Parse the given version string. + + This is identical to the :class:`Version` constructor. + + >>> parse('1.0.dev1') + + + :param version: The version string to parse. + :raises InvalidVersion: When the version string is not a valid version. + """ + return Version(version) + + +class InvalidVersion(ValueError): + """Raised when a version string is not a valid version. + + >>> Version("invalid") + Traceback (most recent call last): + ... + packaging.version.InvalidVersion: Invalid version: 'invalid' + """ + + +class _BaseVersion: + __slots__ = () + + # This can also be a normal member (see the packaging_legacy package); + # we are just requiring it to be readable. Actually defining a property + # has runtime effect on subclasses, so it's typing only. + if typing.TYPE_CHECKING: + + @property + def _key(self) -> tuple[Any, ...]: ... + + def __hash__(self) -> int: + return hash(self._key) + + # Please keep the duplicated `isinstance` check + # in the six comparisons hereunder + # unless you find a way to avoid adding overhead function calls. + def __lt__(self, other: _BaseVersion) -> bool: + if not isinstance(other, _BaseVersion): + return NotImplemented + + return self._key < other._key + + def __le__(self, other: _BaseVersion) -> bool: + if not isinstance(other, _BaseVersion): + return NotImplemented + + return self._key <= other._key + + def __eq__(self, other: object) -> bool: + if not isinstance(other, _BaseVersion): + return NotImplemented + + return self._key == other._key + + def __ge__(self, other: _BaseVersion) -> bool: + if not isinstance(other, _BaseVersion): + return NotImplemented + + return self._key >= other._key + + def __gt__(self, other: _BaseVersion) -> bool: + if not isinstance(other, _BaseVersion): + return NotImplemented + + return self._key > other._key + + def __ne__(self, other: object) -> bool: + if not isinstance(other, _BaseVersion): + return NotImplemented + + return self._key != other._key + + +# Deliberately not anchored to the start and end of the string, to make it +# easier for 3rd party code to reuse + +# Note that ++ doesn't behave identically on CPython and PyPy, so not using it here +_VERSION_PATTERN = r""" + v?+ # optional leading v + (?a: + (?:(?P[0-9]+)!)?+ # epoch + (?P[0-9]+(?:\.[0-9]+)*+) # release segment + (?P
                                          # pre-release
+            [._-]?+
+            (?Palpha|a|beta|b|preview|pre|c|rc)
+            [._-]?+
+            (?P[0-9]+)?
+        )?+
+        (?P                                         # post release
+            (?:-(?P[0-9]+))
+            |
+            (?:
+                [._-]?
+                (?Ppost|rev|r)
+                [._-]?
+                (?P[0-9]+)?
+            )
+        )?+
+        (?P                                          # dev release
+            [._-]?+
+            (?Pdev)
+            [._-]?+
+            (?P[0-9]+)?
+        )?+
+    )
+    (?a:\+
+        (?P                                        # local version
+            [a-z0-9]+
+            (?:[._-][a-z0-9]+)*+
+        )
+    )?+
+"""
+
+_VERSION_PATTERN_OLD = _VERSION_PATTERN.replace("*+", "*").replace("?+", "?")
+
+# Possessive qualifiers were added in Python 3.11.
+# CPython 3.11.0-3.11.4 had a bug: https://github.com/python/cpython/pull/107795
+# Older PyPy also had a bug.
+VERSION_PATTERN = (
+    _VERSION_PATTERN_OLD
+    if (sys.implementation.name == "cpython" and sys.version_info < (3, 11, 5))
+    or (sys.implementation.name == "pypy" and sys.version_info < (3, 11, 13))
+    or sys.version_info < (3, 11)
+    else _VERSION_PATTERN
+)
+"""
+A string containing the regular expression used to match a valid version.
+
+The pattern is not anchored at either end, and is intended for embedding in larger
+expressions (for example, matching a version number as part of a file name). The
+regular expression should be compiled with the ``re.VERBOSE`` and ``re.IGNORECASE``
+flags set.
+
+.. versionchanged:: 26.0
+
+   The regex now uses possessive qualifiers on Python 3.11 if they are
+   supported (CPython 3.11.5+, PyPy 3.11.13+).
+
+:meta hide-value:
+"""
+
+
+# Validation pattern for local version in replace()
+_LOCAL_PATTERN = re.compile(r"[a-z0-9]+(?:[._-][a-z0-9]+)*", re.IGNORECASE | re.ASCII)
+
+# Fast path: If a version has only digits and dots then we
+# can skip the regex and parse it as a release segment
+_SIMPLE_VERSION_INDICATORS = frozenset(".0123456789")
+
+
+def _validate_epoch(value: object, /) -> int:
+    epoch = value or 0
+    if isinstance(epoch, int) and epoch >= 0:
+        return epoch
+    msg = f"epoch must be non-negative integer, got {epoch}"
+    raise InvalidVersion(msg)
+
+
+def _validate_release(value: object, /) -> tuple[int, ...]:
+    release = (0,) if value is None else value
+    if (
+        isinstance(release, tuple)
+        and len(release) > 0
+        and all(isinstance(i, int) and i >= 0 for i in release)
+    ):
+        return release
+    msg = f"release must be a non-empty tuple of non-negative integers, got {release}"
+    raise InvalidVersion(msg)
+
+
+def _validate_pre(value: object, /) -> tuple[Literal["a", "b", "rc"], int] | None:
+    if value is None:
+        return value
+    if isinstance(value, tuple) and len(value) == 2:
+        letter, number = value
+        # The letter must be a string before it can be normalized.
+        if (
+            isinstance(letter, str)
+            and (normalized := normalize_pre(letter)) in {"a", "b", "rc"}
+            and isinstance(number, int)
+            and number >= 0
+        ):
+            # type checkers can't infer the Literal type here on letter
+            return (normalized, number)  # type: ignore[return-value]
+    msg = f"pre must be a tuple of ('a'|'b'|'rc', non-negative int), got {value}"
+    raise InvalidVersion(msg)
+
+
+def _validate_post(value: object, /) -> tuple[Literal["post"], int] | None:
+    if value is None:
+        return value
+    if isinstance(value, int) and value >= 0:
+        return ("post", value)
+    msg = f"post must be non-negative integer, got {value}"
+    raise InvalidVersion(msg)
+
+
+def _validate_dev(value: object, /) -> tuple[Literal["dev"], int] | None:
+    if value is None:
+        return value
+    if isinstance(value, int) and value >= 0:
+        return ("dev", value)
+    msg = f"dev must be non-negative integer, got {value}"
+    raise InvalidVersion(msg)
+
+
+def _validate_local(value: object, /) -> LocalType | None:
+    if value is None:
+        return value
+    if isinstance(value, str) and _LOCAL_PATTERN.fullmatch(value):
+        return _parse_local_version(value)
+    msg = f"local must be a valid version string, got {value!r}"
+    raise InvalidVersion(msg)
+
+
+# Backward compatibility for internals before 26.0. Do not use.
+class _Version(NamedTuple):
+    epoch: int
+    release: tuple[int, ...]
+    dev: tuple[Literal["dev"], int] | None
+    pre: tuple[Literal["a", "b", "rc"], int] | None
+    post: tuple[Literal["post"], int] | None
+    local: LocalType | None
+
+
+class Version(_BaseVersion):
+    """This class abstracts handling of a project's versions.
+
+    A :class:`Version` instance is comparison aware and can be compared and
+    sorted using the standard Python interfaces.
+
+    >>> v1 = Version("1.0a5")
+    >>> v2 = Version("1.0")
+    >>> v1
+    
+    >>> v2
+    
+    >>> v1 < v2
+    True
+    >>> v1 == v2
+    False
+    >>> v1 > v2
+    False
+    >>> v1 >= v2
+    False
+    >>> v1 <= v2
+    True
+
+    :class:`Version` is immutable; use :meth:`__replace__` to change
+    part of a version.
+
+    Instances are safe to serialize with :mod:`pickle`. They use a stable
+    format so the same pickle can be loaded in future packaging releases.
+
+    .. versionchanged:: 26.2
+
+        Added a stable pickle format. Pickles created with packaging 26.2+ can
+        be unpickled with future releases.  Backward compatibility with pickles
+        from packaging < 26.2 is supported but may be removed in a future
+        release.
+    """
+
+    __slots__ = (
+        "_dev",
+        "_epoch",
+        "_hash_cache",
+        "_key_cache",
+        "_local",
+        "_post",
+        "_pre",
+        "_release",
+    )
+    __match_args__ = ("_str",)
+    """
+    Pattern matching is supported on Python 3.10+.
+
+    .. versionadded:: 26.0
+
+    :meta hide-value:
+    """
+
+    _regex = re.compile(r"\s*" + VERSION_PATTERN + r"\s*", re.VERBOSE | re.IGNORECASE)
+
+    _epoch: int
+    _release: tuple[int, ...]
+    _dev: tuple[Literal["dev"], int] | None
+    _pre: tuple[Literal["a", "b", "rc"], int] | None
+    _post: tuple[Literal["post"], int] | None
+    _local: LocalType | None
+
+    _hash_cache: int | None
+    _key_cache: CmpKey | None
+
+    def __init__(self, version: str) -> None:
+        """Initialize a Version object.
+
+        :param version:
+            The string representation of a version which will be parsed and normalized
+            before use.
+        :raises InvalidVersion:
+            If the ``version`` does not conform to PEP 440 in any way then this
+            exception will be raised.
+        """
+        try:
+            is_simple = _SIMPLE_VERSION_INDICATORS.issuperset(version)
+        except TypeError:
+            raise InvalidVersion(f"Invalid version: {version!r}") from None
+
+        if is_simple:
+            try:
+                self._release = tuple(map(int, version.split(".")))
+            except AttributeError:
+                raise InvalidVersion(f"Invalid version: {version!r}") from None
+            except ValueError:
+                # Empty parts (from "1..2", ".1", etc.) are invalid versions.
+                # Any other ValueError (e.g. int str-digits limit) should
+                # propagate to the caller.
+                if "" in version.split("."):
+                    raise InvalidVersion(f"Invalid version: {version!r}") from None
+                # TODO: remove "no cover" when Python 3.9 is dropped.
+                raise  # pragma: no cover
+
+            self._epoch = 0
+            self._pre = None
+            self._post = None
+            self._dev = None
+            self._local = None
+            self._key_cache = None
+            self._hash_cache = None
+            return
+
+        # Validate the version and parse it into pieces
+        try:
+            match = self._regex.fullmatch(version)
+        except TypeError:
+            raise InvalidVersion(f"Invalid version: {version!r}") from None
+        if not match:
+            raise InvalidVersion(f"Invalid version: {version!r}")
+        self._epoch = int(match.group("epoch")) if match.group("epoch") else 0
+        self._release = tuple(map(int, match.group("release").split(".")))
+        # We can type ignore the assignments below because the regex guarantees
+        # the correct strings
+        self._pre = _parse_letter_version(match.group("pre_l"), match.group("pre_n"))  # type: ignore[assignment]
+        self._post = _parse_letter_version(  # type: ignore[assignment]
+            match.group("post_l"), match.group("post_n1") or match.group("post_n2")
+        )
+        self._dev = _parse_letter_version(match.group("dev_l"), match.group("dev_n"))  # type: ignore[assignment]
+        self._local = _parse_local_version(match.group("local"))
+
+        # Key which will be used for sorting
+        self._key_cache = None
+        self._hash_cache = None
+
+    @classmethod
+    def from_parts(
+        cls,
+        *,
+        epoch: int = 0,
+        release: tuple[int, ...],
+        pre: tuple[str, int] | None = None,
+        post: int | None = None,
+        dev: int | None = None,
+        local: str | None = None,
+    ) -> Self:
+        """
+        Return a new version composed of the various parts.
+
+        This allows you to build a version without going though a string and
+        running a regular expression. It normalizes pre-release strings. The
+        ``release=`` keyword argument is required.
+
+        >>> Version.from_parts(release=(1,2,3))
+        
+        >>> Version.from_parts(release=(0,1,0), pre=("b", 1))
+        
+
+        :param epoch:
+        :param release: This version tuple is required
+
+        .. versionadded:: 26.1
+        """
+        _epoch = _validate_epoch(epoch)
+        _release = _validate_release(release)
+        _pre = _validate_pre(pre) if pre is not None else None
+        _post = _validate_post(post) if post is not None else None
+        _dev = _validate_dev(dev) if dev is not None else None
+        _local = _validate_local(local) if local is not None else None
+
+        new_version = cls.__new__(cls)
+        new_version._key_cache = None
+        new_version._hash_cache = None
+        new_version._epoch = _epoch
+        new_version._release = _release
+        new_version._pre = _pre
+        new_version._post = _post
+        new_version._dev = _dev
+        new_version._local = _local
+
+        return new_version
+
+    def __replace__(self, **kwargs: Unpack[_VersionReplace]) -> Self:
+        """
+        __replace__(*, epoch=..., release=..., pre=..., post=..., dev=..., local=...)
+
+        Return a new version with parts replaced.
+
+        This returns a new version (unless no parts were changed). The
+        pre-release is normalized. Setting a value to ``None`` clears it.
+
+        >>> v = Version("1.2.3")
+        >>> v.__replace__(pre=("a", 1))
+        
+
+        :param int | None epoch:
+        :param tuple[int, ...] | None release:
+        :param tuple[str, int] | None pre:
+        :param int | None post:
+        :param int | None dev:
+        :param str | None local:
+
+        .. versionadded:: 26.0
+        .. versionchanged:: 26.1
+
+           The pre-release portion is now normalized.
+        """
+        epoch = _validate_epoch(kwargs["epoch"]) if "epoch" in kwargs else self._epoch
+        release = (
+            _validate_release(kwargs["release"])
+            if "release" in kwargs
+            else self._release
+        )
+        pre = _validate_pre(kwargs["pre"]) if "pre" in kwargs else self._pre
+        post = _validate_post(kwargs["post"]) if "post" in kwargs else self._post
+        dev = _validate_dev(kwargs["dev"]) if "dev" in kwargs else self._dev
+        local = _validate_local(kwargs["local"]) if "local" in kwargs else self._local
+
+        if (
+            epoch == self._epoch
+            and release == self._release
+            and pre == self._pre
+            and post == self._post
+            and dev == self._dev
+            and local == self._local
+        ):
+            return self
+
+        new_version = self.__class__.__new__(self.__class__)
+        new_version._key_cache = None
+        new_version._hash_cache = None
+        new_version._epoch = epoch
+        new_version._release = release
+        new_version._pre = pre
+        new_version._post = post
+        new_version._dev = dev
+        new_version._local = local
+
+        return new_version
+
+    @property
+    def _key(self) -> CmpKey:
+        if self._key_cache is None:
+            self._key_cache = _cmpkey(
+                self._epoch,
+                self._release,
+                self._pre,
+                self._post,
+                self._dev,
+                self._local,
+            )
+        return self._key_cache
+
+    # __hash__ must be defined when __eq__ is overridden,
+    # otherwise Python sets __hash__ to None.
+    def __hash__(self) -> int:
+        if (cached_hash := self._hash_cache) is not None:
+            return cached_hash
+
+        if (key := self._key_cache) is None:
+            self._key_cache = key = _cmpkey(
+                self._epoch,
+                self._release,
+                self._pre,
+                self._post,
+                self._dev,
+                self._local,
+            )
+        self._hash_cache = cached_hash = hash(key)
+        return cached_hash
+
+    # Override comparison methods to use direct _key_cache access
+    # This is faster than property access, especially before Python 3.12
+    def __lt__(self, other: _BaseVersion) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache < other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__lt__(other)
+
+    def __le__(self, other: _BaseVersion) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache <= other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__le__(other)
+
+    def __eq__(self, other: object) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache == other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__eq__(other)
+
+    def __ge__(self, other: _BaseVersion) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache >= other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__ge__(other)
+
+    def __gt__(self, other: _BaseVersion) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache > other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__gt__(other)
+
+    def __ne__(self, other: object) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache != other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__ne__(other)
+
+    def __getstate__(
+        self,
+    ) -> tuple[
+        int,
+        tuple[int, ...],
+        tuple[str, int] | None,
+        tuple[str, int] | None,
+        tuple[str, int] | None,
+        LocalType | None,
+    ]:
+        # Return state as a 6-item tuple for compactness:
+        #   (epoch, release, pre, post, dev, local)
+        # Cache members are excluded and will be recomputed on demand
+        return (
+            self._epoch,
+            self._release,
+            self._pre,
+            self._post,
+            self._dev,
+            self._local,
+        )
+
+    def __setstate__(self, state: object) -> None:
+        # Always discard cached values — they may contain stale references
+        # (e.g. packaging._structures.InfinityType from pre-26.1 pickles)
+        # and will be recomputed on demand from the core fields above.
+        self._key_cache = None
+        self._hash_cache = None
+
+        if isinstance(state, tuple):
+            if len(state) == 6:
+                # New format (26.2+): (epoch, release, pre, post, dev, local)
+                (
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                ) = state
+                return
+            if len(state) == 2:
+                # Format (packaging 26.0-26.1): (None, {slot: value}).
+                _, slot_dict = state
+                if isinstance(slot_dict, dict):
+                    self._epoch = slot_dict["_epoch"]
+                    self._release = slot_dict["_release"]
+                    self._pre = slot_dict.get("_pre")
+                    self._post = slot_dict.get("_post")
+                    self._dev = slot_dict.get("_dev")
+                    self._local = slot_dict.get("_local")
+                    return
+        if isinstance(state, dict):
+            # Old format (packaging <= 25.x, no __slots__): state is a plain
+            # dict with "_version" (_Version NamedTuple) and "_key" entries.
+            version_nt = state.get("_version")
+            if version_nt is not None:
+                self._epoch = version_nt.epoch
+                self._release = version_nt.release
+                self._pre = version_nt.pre
+                self._post = version_nt.post
+                self._dev = version_nt.dev
+                self._local = version_nt.local
+                return
+
+        raise TypeError(f"Cannot restore Version from {state!r}")
+
+    @property
+    @_deprecated("Version._version is private and will be removed soon")
+    def _version(self) -> _Version:
+        return _Version(
+            self._epoch, self._release, self._dev, self._pre, self._post, self._local
+        )
+
+    @_version.setter
+    @_deprecated("Version._version is private and will be removed soon")
+    def _version(self, value: _Version) -> None:
+        self._epoch = value.epoch
+        self._release = value.release
+        self._dev = value.dev
+        self._pre = value.pre
+        self._post = value.post
+        self._local = value.local
+        self._key_cache = None
+        self._hash_cache = None
+
+    def __repr__(self) -> str:
+        """A representation of the Version that shows all internal state.
+
+        >>> Version('1.0.0')
+        
+        """
+        return f"<{self.__class__.__name__}({str(self)!r})>"
+
+    def __str__(self) -> str:
+        """A string representation of the version that can be round-tripped.
+
+        >>> str(Version("1.0a5"))
+        '1.0a5'
+        """
+        # This is a hot function, so not calling self.base_version
+        version = ".".join(map(str, self.release))
+
+        # Epoch
+        if self.epoch:
+            version = f"{self.epoch}!{version}"
+
+        # Pre-release
+        if self.pre is not None:
+            version += "".join(map(str, self.pre))
+
+        # Post-release
+        if self.post is not None:
+            version += f".post{self.post}"
+
+        # Development release
+        if self.dev is not None:
+            version += f".dev{self.dev}"
+
+        # Local version segment
+        if self.local is not None:
+            version += f"+{self.local}"
+
+        return version
+
+    @property
+    def _str(self) -> str:
+        """Internal property for match_args"""
+        return str(self)
+
+    @property
+    def epoch(self) -> int:
+        """The epoch of the version.
+
+        >>> Version("2.0.0").epoch
+        0
+        >>> Version("1!2.0.0").epoch
+        1
+        """
+        return self._epoch
+
+    @property
+    def release(self) -> tuple[int, ...]:
+        """The components of the "release" segment of the version.
+
+        >>> Version("1.2.3").release
+        (1, 2, 3)
+        >>> Version("2.0.0").release
+        (2, 0, 0)
+        >>> Version("1!2.0.0.post0").release
+        (2, 0, 0)
+
+        Includes trailing zeroes but not the epoch or any pre-release / development /
+        post-release suffixes.
+        """
+        return self._release
+
+    @property
+    def pre(self) -> tuple[Literal["a", "b", "rc"], int] | None:
+        """The pre-release segment of the version.
+
+        >>> print(Version("1.2.3").pre)
+        None
+        >>> Version("1.2.3a1").pre
+        ('a', 1)
+        >>> Version("1.2.3b1").pre
+        ('b', 1)
+        >>> Version("1.2.3rc1").pre
+        ('rc', 1)
+        """
+        return self._pre
+
+    @property
+    def post(self) -> int | None:
+        """The post-release number of the version.
+
+        >>> print(Version("1.2.3").post)
+        None
+        >>> Version("1.2.3.post1").post
+        1
+        """
+        return self._post[1] if self._post else None
+
+    @property
+    def dev(self) -> int | None:
+        """The development number of the version.
+
+        >>> print(Version("1.2.3").dev)
+        None
+        >>> Version("1.2.3.dev1").dev
+        1
+        """
+        return self._dev[1] if self._dev else None
+
+    @property
+    def local(self) -> str | None:
+        """The local version segment of the version.
+
+        >>> print(Version("1.2.3").local)
+        None
+        >>> Version("1.2.3+abc").local
+        'abc'
+        """
+        if self._local:
+            return ".".join(str(x) for x in self._local)
+        else:
+            return None
+
+    @property
+    def public(self) -> str:
+        """The public portion of the version.
+
+        This returns a string. If you want a :class:`Version` again and care
+        about performance, use ``v.__replace__(local=None)`` instead.
+
+        >>> Version("1.2.3").public
+        '1.2.3'
+        >>> Version("1.2.3+abc").public
+        '1.2.3'
+        >>> Version("1!1.2.3dev1+abc").public
+        '1!1.2.3.dev1'
+        """
+        return str(self).split("+", 1)[0]
+
+    @property
+    def base_version(self) -> str:
+        """The "base version" of the version.
+
+        This returns a string. If you want a :class:`Version` again and care
+        about performance, use
+        ``v.__replace__(pre=None, post=None, dev=None, local=None)`` instead.
+
+        >>> Version("1.2.3").base_version
+        '1.2.3'
+        >>> Version("1.2.3+abc").base_version
+        '1.2.3'
+        >>> Version("1!1.2.3dev1+abc").base_version
+        '1!1.2.3'
+
+        The "base version" is the public version of the project without any pre or post
+        release markers.
+        """
+        release_segment = ".".join(map(str, self.release))
+        return f"{self.epoch}!{release_segment}" if self.epoch else release_segment
+
+    @property
+    def is_prerelease(self) -> bool:
+        """Whether this version is a pre-release.
+
+        >>> Version("1.2.3").is_prerelease
+        False
+        >>> Version("1.2.3a1").is_prerelease
+        True
+        >>> Version("1.2.3b1").is_prerelease
+        True
+        >>> Version("1.2.3rc1").is_prerelease
+        True
+        >>> Version("1.2.3dev1").is_prerelease
+        True
+        """
+        return self.dev is not None or self.pre is not None
+
+    @property
+    def is_postrelease(self) -> bool:
+        """Whether this version is a post-release.
+
+        >>> Version("1.2.3").is_postrelease
+        False
+        >>> Version("1.2.3.post1").is_postrelease
+        True
+        """
+        return self.post is not None
+
+    @property
+    def is_devrelease(self) -> bool:
+        """Whether this version is a development release.
+
+        >>> Version("1.2.3").is_devrelease
+        False
+        >>> Version("1.2.3.dev1").is_devrelease
+        True
+        """
+        return self.dev is not None
+
+    @property
+    def major(self) -> int:
+        """The first item of :attr:`release` or ``0`` if unavailable.
+
+        >>> Version("1.2.3").major
+        1
+
+        .. versionadded:: 20.0
+        """
+        return self.release[0] if len(self.release) >= 1 else 0
+
+    @property
+    def minor(self) -> int:
+        """The second item of :attr:`release` or ``0`` if unavailable.
+
+        >>> Version("1.2.3").minor
+        2
+        >>> Version("1").minor
+        0
+
+        .. versionadded:: 20.0
+        """
+        return self.release[1] if len(self.release) >= 2 else 0
+
+    @property
+    def micro(self) -> int:
+        """The third item of :attr:`release` or ``0`` if unavailable.
+
+        >>> Version("1.2.3").micro
+        3
+        >>> Version("1").micro
+        0
+
+        .. versionadded:: 20.0
+        """
+        return self.release[2] if len(self.release) >= 3 else 0
+
+
+class _TrimmedRelease(Version):
+    __slots__ = ()
+
+    def __init__(self, version: str | Version) -> None:
+        if isinstance(version, Version):
+            self._epoch = version._epoch
+            self._release = version._release
+            self._dev = version._dev
+            self._pre = version._pre
+            self._post = version._post
+            self._local = version._local
+            self._key_cache = version._key_cache
+            self._hash_cache = version._hash_cache
+            return
+        super().__init__(version)  # pragma: no cover
+
+    @property
+    def release(self) -> tuple[int, ...]:
+        """
+        Release segment without any trailing zeros.
+
+        >>> _TrimmedRelease('1.0.0').release
+        (1,)
+        >>> _TrimmedRelease('0.0').release
+        (0,)
+        """
+        # This leaves one 0.
+        rel = super().release
+        len_release = len(rel)
+        i = len_release
+        while i > 1 and rel[i - 1] == 0:
+            i -= 1
+        return rel if i == len_release else rel[:i]
+
+
+def _parse_letter_version(
+    letter: str | None, number: str | bytes | SupportsInt | None
+) -> tuple[str, int] | None:
+    if letter:
+        # We normalize any letters to their lower case form
+        letter = letter.lower()
+
+        # We consider some words to be alternate spellings of other words and
+        # in those cases we want to normalize the spellings to our preferred
+        # spelling.
+        letter = _LETTER_NORMALIZATION.get(letter, letter)
+
+        # We consider there to be an implicit 0 in a pre-release if there is
+        # not a numeral associated with it.
+        return letter, int(number or 0)
+
+    if number:
+        # We assume if we are given a number, but we are not given a letter
+        # then this is using the implicit post release syntax (e.g. 1.0-1)
+        return "post", int(number)
+
+    return None
+
+
+_local_version_separators = re.compile(r"[\._-]")
+
+
+def _parse_local_version(local: str | None) -> LocalType | None:
+    """
+    Takes a string like ``"abc.1.twelve"`` and turns it into
+    ``("abc", 1, "twelve")``.
+    """
+    if local is not None:
+        return tuple(
+            part.lower() if not part.isdigit() else int(part)
+            for part in _local_version_separators.split(local)
+        )
+    return None
+
+
+# Sort ranks for pre-release: dev-only < a < b < rc < stable (no pre-release).
+_PRE_RANK = {"a": 0, "b": 1, "rc": 2}
+_PRE_RANK_DEV_ONLY = -1  # sorts before a(0)
+_PRE_RANK_STABLE = 3  # sorts after rc(2)
+
+# In local version segments, strings sort before ints per PEP 440.
+_LOCAL_STR_RANK = -1  # sorts before all non-negative ints
+
+# Pre-computed suffix for stable releases (no pre, post, or dev segments).
+# See _cmpkey() for the suffix layout.
+_STABLE_SUFFIX = (_PRE_RANK_STABLE, 0, 0, 0, 1, 0)
+
+
+def _cmpkey(
+    epoch: int,
+    release: tuple[int, ...],
+    pre: tuple[str, int] | None,
+    post: tuple[str, int] | None,
+    dev: tuple[str, int] | None,
+    local: LocalType | None,
+) -> CmpKey:
+    """Build a comparison key for PEP 440 ordering.
+
+    Returns ``(epoch, release, suffix)`` or
+    ``(epoch, release, suffix, local)`` so that plain tuple
+    comparison gives the correct order.
+
+    Trailing zeros are stripped from the release so that ``1.0.0 == 1``.
+
+    The suffix is a flat 6-int tuple that encodes pre/post/dev:
+    ``(pre_rank, pre_n, post_rank, post_n, dev_rank, dev_n)``
+
+    pre_rank: dev-only=-1, a=0, b=1, rc=2, no-pre=3
+        Dev-only releases (no pre or post) get -1 so they sort before
+        any alpha/beta/rc.  Releases without a pre-release tag get 3
+        so they sort after rc.
+    post_rank: no-post=0, post=1
+        Releases without a post segment sort before those with one.
+    dev_rank: dev=0, no-dev=1
+        Releases without a dev segment sort after those with one.
+
+    Local segments use ``(n, "")`` for ints and ``(-1, s)`` for strings,
+    following PEP 440: strings sort before ints, strings compare
+    lexicographically, ints compare numerically, and shorter segments
+    sort before longer when prefixes match.  Versions without a local
+    segment sort before those with one (3-tuple < 4-tuple).
+
+    >>> _cmpkey(0, (1, 0, 0), None, None, None, None)
+    (0, (1,), (3, 0, 0, 0, 1, 0))
+    >>> _cmpkey(0, (1,), ("a", 1), None, None, None)
+    (0, (1,), (0, 1, 0, 0, 1, 0))
+    >>> _cmpkey(0, (1,), None, None, None, ("ubuntu", 1))
+    (0, (1,), (3, 0, 0, 0, 1, 0), ((-1, 'ubuntu'), (1, '')))
+    """
+    # Strip trailing zeros: 1.0.0 compares equal to 1.
+    len_release = len(release)
+    i = len_release
+    while i and release[i - 1] == 0:
+        i -= 1
+    trimmed = release if i == len_release else release[:i]
+
+    # Fast path: stable release with no local segment.
+    if pre is None and post is None and dev is None and local is None:
+        return epoch, trimmed, _STABLE_SUFFIX
+
+    if pre is None and post is None and dev is not None:
+        # dev-only (e.g. 1.0.dev1) sorts before all pre-releases.
+        pre_rank, pre_n = _PRE_RANK_DEV_ONLY, 0
+    elif pre is None:
+        pre_rank, pre_n = _PRE_RANK_STABLE, 0
+    else:
+        pre_rank, pre_n = _PRE_RANK[pre[0]], pre[1]
+
+    post_rank = 0 if post is None else 1
+    post_n = 0 if post is None else post[1]
+
+    dev_rank = 1 if dev is None else 0
+    dev_n = 0 if dev is None else dev[1]
+
+    suffix = (pre_rank, pre_n, post_rank, post_n, dev_rank, dev_n)
+
+    if local is None:
+        return epoch, trimmed, suffix
+
+    cmp_local: CmpLocalType = tuple(
+        (seg, "") if isinstance(seg, int) else (_LOCAL_STR_RANK, seg) for seg in local
+    )
+    return epoch, trimmed, suffix, cmp_local
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/INSTALLER b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/INSTALLER
new file mode 100644
index 0000000000000000000000000000000000000000..a1b589e38a32041e49332e5e81c2d363dc418d68
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/INSTALLER
@@ -0,0 +1 @@
+pip
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/METADATA b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/METADATA
new file mode 100644
index 0000000000000000000000000000000000000000..cbbb08c9636391fce1dce6e1fb4d81689efa7f33
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/METADATA
@@ -0,0 +1,182 @@
+Metadata-Version: 2.4
+Name: pillow
+Version: 13.0.0
+Summary: Python Imaging Library (fork)
+Author-email: Jeffrey 'Alex' Clark 
+License-Expression: MIT-CMU
+Project-URL: Release notes, https://pillow.readthedocs.io/en/stable/releasenotes/index.html
+Project-URL: Changelog, https://github.com/python-pillow/Pillow/releases
+Project-URL: Documentation, https://pillow.readthedocs.io
+Project-URL: Funding, https://tidelift.com/lifter/search/pypi/pillow
+Project-URL: Homepage, https://python-pillow.org
+Project-URL: Mastodon, https://fosstodon.org/@pillow
+Project-URL: Security, https://pillow.readthedocs.io/en/stable/handbook/security.html
+Project-URL: Source, https://github.com/python-pillow/Pillow
+Keywords: Imaging
+Classifier: Development Status :: 6 - Mature
+Classifier: Programming Language :: Python :: 3 :: Only
+Classifier: Programming Language :: Python :: 3.11
+Classifier: Programming Language :: Python :: 3.12
+Classifier: Programming Language :: Python :: 3.13
+Classifier: Programming Language :: Python :: 3.14
+Classifier: Programming Language :: Python :: 3.15
+Classifier: Programming Language :: Python :: Implementation :: CPython
+Classifier: Programming Language :: Python :: Implementation :: PyPy
+Classifier: Topic :: Multimedia :: Graphics
+Classifier: Topic :: Multimedia :: Graphics :: Capture :: Digital Camera
+Classifier: Topic :: Multimedia :: Graphics :: Capture :: Screen Capture
+Classifier: Topic :: Multimedia :: Graphics :: Graphics Conversion
+Classifier: Topic :: Multimedia :: Graphics :: Viewers
+Classifier: Typing :: Typed
+Requires-Python: >=3.11
+Description-Content-Type: text/markdown
+License-File: LICENSE
+Provides-Extra: docs
+Requires-Dist: furo; extra == "docs"
+Requires-Dist: olefile; extra == "docs"
+Requires-Dist: sphinx>=8.2; extra == "docs"
+Requires-Dist: sphinx-autobuild; extra == "docs"
+Requires-Dist: sphinx-copybutton; extra == "docs"
+Requires-Dist: sphinx-inline-tabs; extra == "docs"
+Requires-Dist: sphinxext-opengraph; extra == "docs"
+Provides-Extra: fpx
+Requires-Dist: olefile; extra == "fpx"
+Provides-Extra: mic
+Requires-Dist: olefile; extra == "mic"
+Provides-Extra: test-arrow
+Requires-Dist: arro3-compute; extra == "test-arrow"
+Requires-Dist: arro3-core; extra == "test-arrow"
+Requires-Dist: nanoarrow; extra == "test-arrow"
+Requires-Dist: pyarrow; extra == "test-arrow"
+Provides-Extra: tests
+Requires-Dist: coverage>=7.4.2; extra == "tests"
+Requires-Dist: defusedxml; extra == "tests"
+Requires-Dist: markdown2; extra == "tests"
+Requires-Dist: olefile; extra == "tests"
+Requires-Dist: packaging; extra == "tests"
+Requires-Dist: psutil; (sys_platform == "linux" or sys_platform == "darwin") and extra == "tests"
+Requires-Dist: pytest; extra == "tests"
+Requires-Dist: pytest-cov; extra == "tests"
+Requires-Dist: pytest-timeout; extra == "tests"
+Requires-Dist: pytest-xdist; extra == "tests"
+Requires-Dist: setuptools; extra == "tests"
+Requires-Dist: trove-classifiers>=2024.10.12; extra == "tests"
+Provides-Extra: xmp
+Requires-Dist: defusedxml; extra == "xmp"
+Dynamic: license-file
+
+

+    Pillow logo
+

+
+# Pillow
+
+## Python Imaging Library (Fork)
+
+Pillow is the friendly PIL fork by [Jeffrey 'Alex' Clark and
+contributors](https://github.com/python-pillow/Pillow/graphs/contributors).
+PIL is the Python Imaging Library by Fredrik Lundh and contributors.
+Development is supported by:
+- [Tidelift](https://tidelift.com/lifter/search/pypi/pillow) (since 2018)
+- [Thanks.dev](https://thanks.dev) (since 2023)
+- [GitHub Sponsors](https://github.com/sponsors/python-pillow) (since 2026)
+
+
+    
+        
+        
+    
+    
+        
+        
+    
+    
+        
+        
+    
+    
+        
+        
+    
+
docs
+            Documentation Status
+        
tests
+            GitHub Actions build status (Lint)
+            GitHub Actions build status (Test Linux and macOS)
+            GitHub Actions build status (Test Windows)
+            GitHub Actions build status (Test MinGW)
+            GitHub Actions build status (Test Docker)
+            GitHub Actions build status (Wheels)
+            Code coverage
+            Fuzzing Status
+        
package
+            Zenodo
+            Tidelift
+            Newest PyPI version
+            Number of PyPI downloads
+            OpenSSF Best Practices
+        
social
+            Join the chat at https://gitter.im/python-pillow/Pillow
+            Follow on https://fosstodon.org/@pillow
+        

+
+## Overview
+
+The Python Imaging Library adds image processing capabilities to your Python interpreter.
+
+This library provides extensive file format support, an efficient internal representation, and fairly powerful image processing capabilities.
+
+The core image library is designed for fast access to data stored in a few basic pixel formats. It should provide a solid foundation for a general image processing tool.
+
+## More information
+
+- [Documentation](https://pillow.readthedocs.io/)
+  - [Installation](https://pillow.readthedocs.io/en/latest/installation/basic-installation.html)
+  - [Handbook](https://pillow.readthedocs.io/en/latest/handbook/index.html)
+- [Contribute](https://github.com/python-pillow/Pillow/blob/main/.github/CONTRIBUTING.md)
+  - [Issues](https://github.com/python-pillow/Pillow/issues)
+  - [Pull requests](https://github.com/python-pillow/Pillow/pulls)
+- [Release notes](https://pillow.readthedocs.io/en/stable/releasenotes/index.html)
+- [Changelog](https://github.com/python-pillow/Pillow/releases)
+  - [Pre-fork](https://github.com/python-pillow/Pillow/blob/main/CHANGES.rst#pre-fork)
+
+## Report a vulnerability
+
+To report sensitive vulnerability information, report it [privately on GitHub](https://github.com/python-pillow/Pillow/security/advisories/new).
+
+If you cannot use GitHub, use the [Tidelift security contact](https://tidelift.com/security). Tidelift will coordinate the fix and disclosure.
+
+DO NOT report sensitive vulnerability information in public.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/RECORD b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/RECORD
new file mode 100644
index 0000000000000000000000000000000000000000..3a0b3f9dd38bbf01c8c13b97ce89b349c67a0937
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/RECORD
@@ -0,0 +1,238 @@
+PIL/AvifImagePlugin.py,sha256=fVya3evEDNu22ddkPjA8OIu5_TAoOKdQMZVl9gkN3bk,9419
+PIL/BdfFontFile.py,sha256=d8otmsDP1_4I9wy4Ipj3Q8zFRvR4zSj-7LvlUFbcRVY,3260
+PIL/BlpImagePlugin.py,sha256=j2A8j750HARFd_ilhSxnj_6cV6VzudsrkE6AlKOqDjI,16529
+PIL/BmpImagePlugin.py,sha256=d4_7xt-xW3y6lwpZYtr69yHPh4T_E6FA3MqyVDbArJw,20391
+PIL/BufrStubImagePlugin.py,sha256=IM0EzuPAVgHpT_VupzXcOXJpxQT6Zn3GimdA0Fy5thg,1675
+PIL/ContainerIO.py,sha256=uQiYWAM3y6I3Q22s-JcEjkFNPZbgCagId8RBBGtRTTw,4647
+PIL/CurImagePlugin.py,sha256=rG0jf0-vz6j-duSwh8ynjypCED75kGKrjnVa0t5rXuA,2747
+PIL/DcxImagePlugin.py,sha256=G1z0XCVJGnjkF934xnt-Vt6XiFwrW_pphoeQsiYHjj0,2318
+PIL/DdsImagePlugin.py,sha256=EztL_kjnjjCW4GVDHP6HPQC3q7S1A5gzspdpLn-jjJw,19182
+PIL/EpsImagePlugin.py,sha256=pvKIBoGGwKDPPKNwlVLfTnx7MyBp2JB_12GMekOgRGA,17133
+PIL/ExifTags.py,sha256=i_CZR8JlpM2tsNqu6rWX7FKCD3nh09wjblGOhz3Q7E8,9918
+PIL/FitsImagePlugin.py,sha256=ADOYTAyPl-jQOkb3XLQhKTtD_H7XniAxaV5XbWITxGQ,5365
+PIL/FliImagePlugin.py,sha256=_eyOZ6MBkVKrU2UjTWBoZST0w767r7lGvxz3LO1s2hk,5170
+PIL/FontFile.py,sha256=8a1MA2vgn84KCHZdQuDM9lx4TB4jj0G1w_eoX48E_j8,4323
+PIL/FpxImagePlugin.py,sha256=QKhZpFc89elLpOkEG0SF6-7Z9d7dOAVOOplHPFXZCGQ,7498
+PIL/FtexImagePlugin.py,sha256=f5XouvatY8FWmHDZO-tN1Jt2PZNDApBlTsKsPl-UK2M,3713
+PIL/GbrImagePlugin.py,sha256=NUVkbjk2gNXMY1qjZD1jQTGpxiE7nMPEzCdvwmn7cEQ,3065
+PIL/GdImageFile.py,sha256=X3PpMkWnlqDNjuHtGuIN16PC1-vn-pjAs-N_ZKOBp3w,2932
+PIL/GifImagePlugin.py,sha256=EN5H-LQU7p0UeLRpoPftOP5c9NoqFDE5iezHVGnHmMs,39604
+PIL/GimpGradientFile.py,sha256=NFZZa0rYTJSSSC3rOCBXOhW4F6HOO1XqsAafnlQgIdc,4027
+PIL/GimpPaletteFile.py,sha256=D1t86-dvW8kpUcTqyaa8WHXCp6aDxC3kOObs28F22Y8,1888
+PIL/GribStubImagePlugin.py,sha256=sZL_Qw2po5yyXFG0pAHUQ1WGNOT8eyXUtYCX2J8Nodg,1704
+PIL/Hdf5StubImagePlugin.py,sha256=n4oyqhJ7AhXFPwb4oR3MxaqAfA2vToqxTVMfFyPEazg,1686
+PIL/IcnsImagePlugin.py,sha256=xNLePAzdu4RYqva4ctHoo9vO-jm6yaSuxx_b4zXhE6g,12479
+PIL/IcoImagePlugin.py,sha256=t3GyWCSQNJ6DrSlt8nJwNryl9Ljqh-G3Vhk8xZ8IdBs,13817
+PIL/ImImagePlugin.py,sha256=EOU8A3aFsJvfDftUaw_g8vVqYWLuFbnJAjJ9VSI4o34,11832
+PIL/Image.py,sha256=BAUMLU3WeTHOjDz9vEmsSmlE03nQN8jx1e7rZ_uimhA,153846
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/REQUESTED b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/REQUESTED
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/WHEEL b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/WHEEL
new file mode 100644
index 0000000000000000000000000000000000000000..4ee6b3c06c3f7144da8bc99d6b992499e2575836
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/WHEEL
@@ -0,0 +1,6 @@
+Wheel-Version: 1.0
+Generator: setuptools (84.0.0)
+Root-Is-Purelib: false
+Tag: cp311-cp311-manylinux_2_27_x86_64
+Tag: cp311-cp311-manylinux_2_28_x86_64
+
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/licenses/LICENSE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/licenses/LICENSE
new file mode 100644
index 0000000000000000000000000000000000000000..740172639feadf761b726e5211973acb3fe4f0d8
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/licenses/LICENSE
@@ -0,0 +1,1574 @@
+The Python Imaging Library (PIL) is
+
+    Copyright © 1997-2011 by Secret Labs AB
+    Copyright © 1995-2011 by Fredrik Lundh and contributors
+
+Pillow is the friendly PIL fork. It is
+
+    Copyright © 2010 by Jeffrey 'Alex' Clark and contributors
+
+Like PIL, Pillow is licensed under the open source MIT-CMU License:
+
+By obtaining, using, and/or copying this software and/or its associated
+documentation, you agree that you have read, understood, and will comply
+with the following terms and conditions:
+
+Permission to use, copy, modify and distribute this software and its
+documentation for any purpose and without fee is hereby granted,
+provided that the above copyright notice appears in all copies, and that
+both that copyright notice and this permission notice appear in supporting
+documentation, and that the name of Secret Labs AB or the author not be
+used in advertising or publicity pertaining to distribution of the software
+without specific, written prior permission.
+
+SECRET LABS AB AND THE AUTHOR DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS
+SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
+IN NO EVENT SHALL SECRET LABS AB OR THE AUTHOR BE LIABLE FOR ANY SPECIAL,
+INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
+LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE
+OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
+PERFORMANCE OF THIS SOFTWARE.
+
+
+----
+
+AOM
+
+Copyright (c) 2016, Alliance for Open Media. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+
+1. Redistributions of source code must retain the above copyright
+   notice, this list of conditions and the following disclaimer.
+
+2. Redistributions in binary form must reproduce the above copyright
+   notice, this list of conditions and the following disclaimer in
+   the documentation and/or other materials provided with the
+   distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGE.
+
+
+----
+
+BROTLI
+
+Copyright (c) 2009, 2010, 2013-2016 by the Brotli Authors.
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in
+all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+THE SOFTWARE.
+
+
+----
+
+BZIP2
+
+
+--------------------------------------------------------------------------
+
+This program, "bzip2", the associated library "libbzip2", and all
+documentation, are copyright (C) 1996-2019 Julian R Seward.  All
+rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+
+1. Redistributions of source code must retain the above copyright
+   notice, this list of conditions and the following disclaimer.
+
+2. The origin of this software must not be misrepresented; you must
+   not claim that you wrote the original software.  If you use this
+   software in a product, an acknowledgment in the product
+   documentation would be appreciated but is not required.
+
+3. Altered source versions must be plainly marked as such, and must
+   not be misrepresented as being the original software.
+
+4. The name of the author may not be used to endorse or promote
+   products derived from this software without specific prior written
+   permission.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS
+OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
+DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
+GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
+WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+Julian Seward, jseward@acm.org
+bzip2/libbzip2 version 1.0.8 of 13 July 2019
+
+--------------------------------------------------------------------------
+
+
+----
+
+DAV1D
+
+Copyright © 2018-2019, VideoLAN and dav1d authors
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+1. Redistributions of source code must retain the above copyright notice, this
+   list of conditions and the following disclaimer.
+
+2. Redistributions in binary form must reproduce the above copyright notice,
+   this list of conditions and the following disclaimer in the documentation
+   and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+
+----
+
+FREETYPE2
+
+The FreeType  2 font  engine is  copyrighted work  and cannot  be used
+legally without  a software  license.  In order  to make  this project
+usable to  a vast majority of  developers, we distribute it  under two
+mutually exclusive open-source licenses.
+
+This means that *you* must choose  *one* of the two licenses described
+below, then obey all its terms and conditions when using FreeType 2 in
+any of your projects or products.
+
+  - The FreeType License,  found in the file  `docs/FTL.TXT`, which is
+    similar to the  original BSD license *with*  an advertising clause
+    that forces  you to explicitly  cite the FreeType project  in your
+    product's  documentation.  All  details are  in the  license file.
+    This license is suited to products which don't use the GNU General
+    Public License.
+
+    Note that  this license  is compatible to  the GNU  General Public
+    License version 3, but not version 2.
+
+  - The   GNU   General   Public   License   version   2,   found   in
+    `docs/GPLv2.TXT`  (any  later  version  can  be  used  also),  for
+    programs  which  already  use  the  GPL.  Note  that  the  FTL  is
+    incompatible with GPLv2 due to its advertisement clause.
+
+The contributed  BDF and PCF  drivers come  with a license  similar to
+that  of the  X Window  System.   It is  compatible to  the above  two
+licenses (see files `src/bdf/README`  and `src/pcf/README`).  The same
+holds   for   the   source    code   files   `src/base/fthash.c`   and
+`include/freetype/internal/fthash.h`; they were part of the BDF driver
+in earlier FreeType versions.
+
+The gzip  module uses the  zlib license (see  `src/gzip/zlib.h`) which
+too is compatible to the above two licenses.
+
+The files `src/autofit/ft-hb.c` and `src/autofit/ft-hb.h` contain code
+taken almost  verbatim from the  HarfBuzz file `hb-ft.cc`,  which uses
+the 'Old MIT' license, compatible to the above two licenses.
+
+The  MD5 checksum  support  (only used  for  debugging in  development
+builds) is in the public domain.
+
+--------------------------------------------------------------------------
+
+                    The FreeType Project LICENSE
+                    ----------------------------
+
+                            2006-Jan-27
+
+                    Copyright 1996-2002, 2006 by
+          David Turner, Robert Wilhelm, and Werner Lemberg
+
+
+
+Introduction
+============
+
+  The FreeType  Project is distributed in  several archive packages;
+  some of them may contain, in addition to the FreeType font engine,
+  various tools and  contributions which rely on, or  relate to, the
+  FreeType Project.
+
+  This  license applies  to all  files found  in such  packages, and
+  which do not  fall under their own explicit  license.  The license
+  affects  thus  the  FreeType   font  engine,  the  test  programs,
+  documentation and makefiles, at the very least.
+
+  This  license   was  inspired  by  the  BSD,   Artistic,  and  IJG
+  (Independent JPEG  Group) licenses, which  all encourage inclusion
+  and  use of  free  software in  commercial  and freeware  products
+  alike.  As a consequence, its main points are that:
+
+    o We don't promise that this software works. However, we will be
+      interested in any kind of bug reports. (`as is' distribution)
+
+    o You can  use this software for whatever you  want, in parts or
+      full form, without having to pay us. (`royalty-free' usage)
+
+    o You may not pretend that  you wrote this software.  If you use
+      it, or  only parts of it,  in a program,  you must acknowledge
+      somewhere  in  your  documentation  that  you  have  used  the
+      FreeType code. (`credits')
+
+  We  specifically  permit  and  encourage  the  inclusion  of  this
+  software, with  or without modifications,  in commercial products.
+  We  disclaim  all warranties  covering  The  FreeType Project  and
+  assume no liability related to The FreeType Project.
+
+
+  Finally,  many  people  asked  us  for  a  preferred  form  for  a
+  credit/disclaimer to use in compliance with this license.  We thus
+  encourage you to use the following text:
+
+   """
+    Portions of this software are copyright ©  The FreeType
+    Project (www.freetype.org).  All rights reserved.
+   """
+
+  Please replace  with the value from the FreeType version you
+  actually use.
+
+
+Legal Terms
+===========
+
+0. Definitions
+--------------
+
+  Throughout this license,  the terms `package', `FreeType Project',
+  and  `FreeType  archive' refer  to  the  set  of files  originally
+  distributed  by the  authors  (David Turner,  Robert Wilhelm,  and
+  Werner Lemberg) as the `FreeType Project', be they named as alpha,
+  beta or final release.
+
+  `You' refers to  the licensee, or person using  the project, where
+  `using' is a generic term including compiling the project's source
+  code as  well as linking it  to form a  `program' or `executable'.
+  This  program is  referred to  as  `a program  using the  FreeType
+  engine'.
+
+  This  license applies  to all  files distributed  in  the original
+  FreeType  Project,   including  all  source   code,  binaries  and
+  documentation,  unless  otherwise  stated   in  the  file  in  its
+  original, unmodified form as  distributed in the original archive.
+  If you are  unsure whether or not a particular  file is covered by
+  this license, you must contact us to verify this.
+
+  The FreeType  Project is copyright (C) 1996-2000  by David Turner,
+  Robert Wilhelm, and Werner Lemberg.  All rights reserved except as
+  specified below.
+
+1. No Warranty
+--------------
+
+  THE FREETYPE PROJECT  IS PROVIDED `AS IS' WITHOUT  WARRANTY OF ANY
+  KIND, EITHER  EXPRESS OR IMPLIED,  INCLUDING, BUT NOT  LIMITED TO,
+  WARRANTIES  OF  MERCHANTABILITY   AND  FITNESS  FOR  A  PARTICULAR
+  PURPOSE.  IN NO EVENT WILL ANY OF THE AUTHORS OR COPYRIGHT HOLDERS
+  BE LIABLE  FOR ANY DAMAGES CAUSED  BY THE USE OR  THE INABILITY TO
+  USE, OF THE FREETYPE PROJECT.
+
+2. Redistribution
+-----------------
+
+  This  license  grants  a  worldwide, royalty-free,  perpetual  and
+  irrevocable right  and license to use,  execute, perform, compile,
+  display,  copy,   create  derivative  works   of,  distribute  and
+  sublicense the  FreeType Project (in  both source and  object code
+  forms)  and  derivative works  thereof  for  any  purpose; and  to
+  authorize others  to exercise  some or all  of the  rights granted
+  herein, subject to the following conditions:
+
+    o Redistribution of  source code  must retain this  license file
+      (`FTL.TXT') unaltered; any  additions, deletions or changes to
+      the original  files must be clearly  indicated in accompanying
+      documentation.   The  copyright   notices  of  the  unaltered,
+      original  files must  be  preserved in  all  copies of  source
+      files.
+
+    o Redistribution in binary form must provide a  disclaimer  that
+      states  that  the software is based in part of the work of the
+      FreeType Team,  in  the  distribution  documentation.  We also
+      encourage you to put an URL to the FreeType web page  in  your
+      documentation, though this isn't mandatory.
+
+  These conditions  apply to any  software derived from or  based on
+  the FreeType Project,  not just the unmodified files.   If you use
+  our work, you  must acknowledge us.  However, no  fee need be paid
+  to us.
+
+3. Advertising
+--------------
+
+  Neither the  FreeType authors and  contributors nor you  shall use
+  the name of the  other for commercial, advertising, or promotional
+  purposes without specific prior written permission.
+
+  We suggest,  but do not require, that  you use one or  more of the
+  following phrases to refer  to this software in your documentation
+  or advertising  materials: `FreeType Project',  `FreeType Engine',
+  `FreeType library', or `FreeType Distribution'.
+
+  As  you have  not signed  this license,  you are  not  required to
+  accept  it.   However,  as  the FreeType  Project  is  copyrighted
+  material, only  this license, or  another one contracted  with the
+  authors, grants you  the right to use, distribute,  and modify it.
+  Therefore,  by  using,  distributing,  or modifying  the  FreeType
+  Project, you indicate that you understand and accept all the terms
+  of this license.
+
+4. Contacts
+-----------
+
+  There are two mailing lists related to FreeType:
+
+    o freetype@nongnu.org
+
+      Discusses general use and applications of FreeType, as well as
+      future and  wanted additions to the  library and distribution.
+      If  you are looking  for support,  start in  this list  if you
+      haven't found anything to help you in the documentation.
+
+    o freetype-devel@nongnu.org
+
+      Discusses bugs,  as well  as engine internals,  design issues,
+      specific licenses, porting, etc.
+
+  Our home page can be found at
+
+    https://www.freetype.org
+
+
+--- end of FTL.TXT ---
+
+The following license details are part of `src/bdf/README`:
+
+```
+License
+*******
+
+Copyright (C) 2001-2002 by Francesco Zappa Nardelli
+
+Permission is hereby granted, free of charge, to any person obtaining
+a copy of this software and associated documentation files (the
+"Software"), to deal in the Software without restriction, including
+without limitation the rights to use, copy, modify, merge, publish,
+distribute, sublicense, and/or sell copies of the Software, and to
+permit persons to whom the Software is furnished to do so, subject to
+the following conditions:
+
+The above copyright notice and this permission notice shall be
+included in all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+
+*** Portions of the driver (that is, bdflib.c and bdf.h):
+
+Copyright 2000 Computing Research Labs, New Mexico State University
+Copyright 2001-2002, 2011 Francesco Zappa Nardelli
+
+Permission is hereby granted, free of charge, to any person obtaining a
+copy of this software and associated documentation files (the "Software"),
+to deal in the Software without restriction, including without limitation
+the rights to use, copy, modify, merge, publish, distribute, sublicense,
+and/or sell copies of the Software, and to permit persons to whom the
+Software is furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in
+all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL
+THE COMPUTING RESEARCH LAB OR NEW MEXICO STATE UNIVERSITY BE LIABLE FOR ANY
+CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT
+OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR
+THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+
+
+Credits
+*******
+
+This driver is based on excellent Mark Leisher's bdf library.  If you
+find something good in this driver you should probably thank him, not
+me.
+```
+
+The following license details are part of `src/pcf/README`:
+
+```
+License
+*******
+
+Copyright (C) 2000 by Francesco Zappa Nardelli
+
+Permission is hereby granted, free of charge, to any person obtaining
+a copy of this software and associated documentation files (the
+"Software"), to deal in the Software without restriction, including
+without limitation the rights to use, copy, modify, merge, publish,
+distribute, sublicense, and/or sell copies of the Software, and to
+permit persons to whom the Software is furnished to do so, subject to
+the following conditions:
+
+The above copyright notice and this permission notice shall be
+included in all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+
+
+Credits
+*******
+
+Keith Packard wrote the pcf driver found in XFree86.  His work is at
+the same time the specification and the sample implementation of the
+PCF format.  Undoubtedly, this driver is inspired from his work.
+```
+
+
+----
+
+HARFBUZZ
+
+HarfBuzz is licensed under the so-called "Old MIT" license.  Details follow.
+For parts of HarfBuzz that are licensed under different licenses see individual
+files names COPYING in subdirectories where applicable.
+
+Copyright © 2010-2022  Google, Inc.
+Copyright © 2015-2020  Ebrahim Byagowi
+Copyright © 2019,2020  Facebook, Inc.
+Copyright © 2012,2015  Mozilla Foundation
+Copyright © 2011  Codethink Limited
+Copyright © 2008,2010  Nokia Corporation and/or its subsidiary(-ies)
+Copyright © 2009  Keith Stribley
+Copyright © 2011  Martin Hosken and SIL International
+Copyright © 2007  Chris Wilson
+Copyright © 2005,2006,2020,2021,2022,2023  Behdad Esfahbod
+Copyright © 2004,2007,2008,2009,2010,2013,2021,2022,2023  Red Hat, Inc.
+Copyright © 1998-2005  David Turner and Werner Lemberg
+Copyright © 2016  Igalia S.L.
+Copyright © 2022  Matthias Clasen
+Copyright © 2018,2021  Khaled Hosny
+Copyright © 2018,2019,2020  Adobe, Inc
+Copyright © 2013-2015  Alexei Podtelezhnikov
+
+For full copyright notices consult the individual files in the package.
+
+
+Permission is hereby granted, without written agreement and without
+license or royalty fees, to use, copy, modify, and distribute this
+software and its documentation for any purpose, provided that the
+above copyright notice and the following two paragraphs appear in
+all copies of this software.
+
+IN NO EVENT SHALL THE COPYRIGHT HOLDER BE LIABLE TO ANY PARTY FOR
+DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES
+ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN
+IF THE COPYRIGHT HOLDER HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH
+DAMAGE.
+
+THE COPYRIGHT HOLDER SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING,
+BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
+FITNESS FOR A PARTICULAR PURPOSE.  THE SOFTWARE PROVIDED HEREUNDER IS
+ON AN "AS IS" BASIS, AND THE COPYRIGHT HOLDER HAS NO OBLIGATION TO
+PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
+
+
+----
+
+LCMS2
+
+Little CMS
+Copyright (c) 1998-2020 Marti Maria Saguer
+
+Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+
+
+----
+
+LIBAVIF
+
+Copyright 2019 Joe Drago. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+1. Redistributions of source code must retain the above copyright notice, this
+list of conditions and the following disclaimer.
+
+2. Redistributions in binary form must reproduce the above copyright notice,
+this list of conditions and the following disclaimer in the documentation
+and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+------------------------------------------------------------------------------
+
+Files: src/obu.c
+
+Copyright © 2018-2019, VideoLAN and dav1d authors
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+1. Redistributions of source code must retain the above copyright notice, this
+   list of conditions and the following disclaimer.
+
+2. Redistributions in binary form must reproduce the above copyright notice,
+   this list of conditions and the following disclaimer in the documentation
+   and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+------------------------------------------------------------------------------
+
+Files: third_party/iccjpeg/*
+
+In plain English:
+
+1. We don't promise that this software works.  (But if you find any bugs,
+   please let us know!)
+2. You can use this software for whatever you want.  You don't have to pay us.
+3. You may not pretend that you wrote this software.  If you use it in a
+   program, you must acknowledge somewhere in your documentation that
+   you've used the IJG code.
+
+In legalese:
+
+The authors make NO WARRANTY or representation, either express or implied,
+with respect to this software, its quality, accuracy, merchantability, or
+fitness for a particular purpose.  This software is provided "AS IS", and you,
+its user, assume the entire risk as to its quality and accuracy.
+
+This software is copyright (C) 1991-2013, Thomas G. Lane, Guido Vollbeding.
+All Rights Reserved except as specified below.
+
+Permission is hereby granted to use, copy, modify, and distribute this
+software (or portions thereof) for any purpose, without fee, subject to these
+conditions:
+(1) If any part of the source code for this software is distributed, then this
+README file must be included, with this copyright and no-warranty notice
+unaltered; and any additions, deletions, or changes to the original files
+must be clearly indicated in accompanying documentation.
+(2) If only executable code is distributed, then the accompanying
+documentation must state that "this software is based in part on the work of
+the Independent JPEG Group".
+(3) Permission for use of this software is granted only if the user accepts
+full responsibility for any undesirable consequences; the authors accept
+NO LIABILITY for damages of any kind.
+
+These conditions apply to any software derived from or based on the IJG code,
+not just to the unmodified library.  If you use our work, you ought to
+acknowledge us.
+
+Permission is NOT granted for the use of any IJG author's name or company name
+in advertising or publicity relating to this software or products derived from
+it.  This software may be referred to only as "the Independent JPEG Group's
+software".
+
+We specifically permit and encourage the use of this software as the basis of
+commercial products, provided that all warranty or liability claims are
+assumed by the product vendor.
+
+
+The Unix configuration script "configure" was produced with GNU Autoconf.
+It is copyright by the Free Software Foundation but is freely distributable.
+The same holds for its supporting scripts (config.guess, config.sub,
+ltmain.sh).  Another support script, install-sh, is copyright by X Consortium
+but is also freely distributable.
+
+The IJG distribution formerly included code to read and write GIF files.
+To avoid entanglement with the Unisys LZW patent, GIF reading support has
+been removed altogether, and the GIF writer has been simplified to produce
+"uncompressed GIFs".  This technique does not use the LZW algorithm; the
+resulting GIF files are larger than usual, but are readable by all standard
+GIF decoders.
+
+We are required to state that
+    "The Graphics Interchange Format(c) is the Copyright property of
+    CompuServe Incorporated.  GIF(sm) is a Service Mark property of
+    CompuServe Incorporated."
+
+------------------------------------------------------------------------------
+
+Files: contrib/gdk-pixbuf/*
+
+Copyright 2020 Emmanuel Gil Peyrot. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+1. Redistributions of source code must retain the above copyright notice, this
+list of conditions and the following disclaimer.
+
+2. Redistributions in binary form must reproduce the above copyright notice,
+this list of conditions and the following disclaimer in the documentation
+and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+------------------------------------------------------------------------------
+
+Files: android_jni/gradlew*
+
+
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
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+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
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+      editorial revisions, annotations, elaborations, or other modifications
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+
+      "Contribution" shall mean any work of authorship, including
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+
+   4. Redistribution. You may reproduce and distribute copies of the
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+
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+
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+
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+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
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+
+   6. Trademarks. This License does not grant permission to use the trade
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+
+   7. Disclaimer of Warranty. Unless required by applicable law or
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+   8. Limitation of Liability. In no event and under no legal theory,
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+      unless required by applicable law (such as deliberate and grossly
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+   END OF TERMS AND CONDITIONS
+
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+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+
+------------------------------------------------------------------------------
+
+Files: third_party/libyuv/*
+
+Copyright 2011 The LibYuv Project Authors. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+  * Redistributions of source code must retain the above copyright
+    notice, this list of conditions and the following disclaimer.
+
+  * Redistributions in binary form must reproduce the above copyright
+    notice, this list of conditions and the following disclaimer in
+    the documentation and/or other materials provided with the
+    distribution.
+
+  * Neither the name of Google nor the names of its contributors may
+    be used to endorse or promote products derived from this software
+    without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+
+----
+
+LIBJPEG
+
+1. We don't promise that this software works.  (But if you find any bugs,
+   please let us know!)
+2. You can use this software for whatever you want.  You don't have to pay us.
+3. You may not pretend that you wrote this software.  If you use it in a
+   program, you must acknowledge somewhere in your documentation that
+   you've used the IJG code.
+
+In legalese:
+
+The authors make NO WARRANTY or representation, either express or implied,
+with respect to this software, its quality, accuracy, merchantability, or
+fitness for a particular purpose.  This software is provided "AS IS", and you,
+its user, assume the entire risk as to its quality and accuracy.
+
+This software is copyright (C) 1991-2020, Thomas G. Lane, Guido Vollbeding.
+All Rights Reserved except as specified below.
+
+Permission is hereby granted to use, copy, modify, and distribute this
+software (or portions thereof) for any purpose, without fee, subject to these
+conditions:
+(1) If any part of the source code for this software is distributed, then this
+README file must be included, with this copyright and no-warranty notice
+unaltered; and any additions, deletions, or changes to the original files
+must be clearly indicated in accompanying documentation.
+(2) If only executable code is distributed, then the accompanying
+documentation must state that "this software is based in part on the work of
+the Independent JPEG Group".
+(3) Permission for use of this software is granted only if the user accepts
+full responsibility for any undesirable consequences; the authors accept
+NO LIABILITY for damages of any kind.
+
+These conditions apply to any software derived from or based on the IJG code,
+not just to the unmodified library.  If you use our work, you ought to
+acknowledge us.
+
+Permission is NOT granted for the use of any IJG author's name or company name
+in advertising or publicity relating to this software or products derived from
+it.  This software may be referred to only as "the Independent JPEG Group's
+software".
+
+We specifically permit and encourage the use of this software as the basis of
+commercial products, provided that all warranty or liability claims are
+assumed by the product vendor.
+
+
+----
+
+LIBLZMA
+
+XZ Utils Licensing
+==================
+
+    Different licenses apply to different files in this package. Here
+    is a rough summary of which licenses apply to which parts of this
+    package (but check the individual files to be sure!):
+
+      - liblzma is in the public domain.
+
+      - xz, xzdec, and lzmadec command line tools are in the public
+        domain unless GNU getopt_long had to be compiled and linked
+        in from the lib directory. The getopt_long code is under
+        GNU LGPLv2.1+.
+
+      - The scripts to grep, diff, and view compressed files have been
+        adapted from gzip. These scripts and their documentation are
+        under GNU GPLv2+.
+
+      - All the documentation in the doc directory and most of the
+        XZ Utils specific documentation files in other directories
+        are in the public domain.
+
+      - Translated messages are in the public domain.
+
+      - The build system contains public domain files, and files that
+        are under GNU GPLv2+ or GNU GPLv3+. None of these files end up
+        in the binaries being built.
+
+      - Test files and test code in the tests directory, and debugging
+        utilities in the debug directory are in the public domain.
+
+      - The extra directory may contain public domain files, and files
+        that are under various free software licenses.
+
+    You can do whatever you want with the files that have been put into
+    the public domain. If you find public domain legally problematic,
+    take the previous sentence as a license grant. If you still find
+    the lack of copyright legally problematic, you have too many
+    lawyers.
+
+    As usual, this software is provided "as is", without any warranty.
+
+    If you copy significant amounts of public domain code from XZ Utils
+    into your project, acknowledging this somewhere in your software is
+    polite (especially if it is proprietary, non-free software), but
+    naturally it is not legally required. Here is an example of a good
+    notice to put into "about box" or into documentation:
+
+        This software includes code from XZ Utils .
+
+    The following license texts are included in the following files:
+      - COPYING.LGPLv2.1: GNU Lesser General Public License version 2.1
+      - COPYING.GPLv2: GNU General Public License version 2
+      - COPYING.GPLv3: GNU General Public License version 3
+
+    Note that the toolchain (compiler, linker etc.) may add some code
+    pieces that are copyrighted. Thus, it is possible that e.g. liblzma
+    binary wouldn't actually be in the public domain in its entirety
+    even though it contains no copyrighted code from the XZ Utils source
+    package.
+
+    If you have questions, don't hesitate to ask the author(s) for more
+    information.
+
+
+----
+
+LIBPNG
+
+COPYRIGHT NOTICE, DISCLAIMER, and LICENSE
+=========================================
+
+PNG Reference Library License version 2
+---------------------------------------
+
+ * Copyright (c) 1995-2022 The PNG Reference Library Authors.
+ * Copyright (c) 2018-2022 Cosmin Truta.
+ * Copyright (c) 2000-2002, 2004, 2006-2018 Glenn Randers-Pehrson.
+ * Copyright (c) 1996-1997 Andreas Dilger.
+ * Copyright (c) 1995-1996 Guy Eric Schalnat, Group 42, Inc.
+
+The software is supplied "as is", without warranty of any kind,
+express or implied, including, without limitation, the warranties
+of merchantability, fitness for a particular purpose, title, and
+non-infringement.  In no event shall the Copyright owners, or
+anyone distributing the software, be liable for any damages or
+other liability, whether in contract, tort or otherwise, arising
+from, out of, or in connection with the software, or the use or
+other dealings in the software, even if advised of the possibility
+of such damage.
+
+Permission is hereby granted to use, copy, modify, and distribute
+this software, or portions hereof, for any purpose, without fee,
+subject to the following restrictions:
+
+ 1. The origin of this software must not be misrepresented; you
+    must not claim that you wrote the original software.  If you
+    use this software in a product, an acknowledgment in the product
+    documentation would be appreciated, but is not required.
+
+ 2. Altered source versions must be plainly marked as such, and must
+    not be misrepresented as being the original software.
+
+ 3. This Copyright notice may not be removed or altered from any
+    source or altered source distribution.
+
+
+PNG Reference Library License version 1 (for libpng 0.5 through 1.6.35)
+-----------------------------------------------------------------------
+
+libpng versions 1.0.7, July 1, 2000, through 1.6.35, July 15, 2018 are
+Copyright (c) 2000-2002, 2004, 2006-2018 Glenn Randers-Pehrson, are
+derived from libpng-1.0.6, and are distributed according to the same
+disclaimer and license as libpng-1.0.6 with the following individuals
+added to the list of Contributing Authors:
+
+    Simon-Pierre Cadieux
+    Eric S. Raymond
+    Mans Rullgard
+    Cosmin Truta
+    Gilles Vollant
+    James Yu
+    Mandar Sahastrabuddhe
+    Google Inc.
+    Vadim Barkov
+
+and with the following additions to the disclaimer:
+
+    There is no warranty against interference with your enjoyment of
+    the library or against infringement.  There is no warranty that our
+    efforts or the library will fulfill any of your particular purposes
+    or needs.  This library is provided with all faults, and the entire
+    risk of satisfactory quality, performance, accuracy, and effort is
+    with the user.
+
+Some files in the "contrib" directory and some configure-generated
+files that are distributed with libpng have other copyright owners, and
+are released under other open source licenses.
+
+libpng versions 0.97, January 1998, through 1.0.6, March 20, 2000, are
+Copyright (c) 1998-2000 Glenn Randers-Pehrson, are derived from
+libpng-0.96, and are distributed according to the same disclaimer and
+license as libpng-0.96, with the following individuals added to the
+list of Contributing Authors:
+
+    Tom Lane
+    Glenn Randers-Pehrson
+    Willem van Schaik
+
+libpng versions 0.89, June 1996, through 0.96, May 1997, are
+Copyright (c) 1996-1997 Andreas Dilger, are derived from libpng-0.88,
+and are distributed according to the same disclaimer and license as
+libpng-0.88, with the following individuals added to the list of
+Contributing Authors:
+
+    John Bowler
+    Kevin Bracey
+    Sam Bushell
+    Magnus Holmgren
+    Greg Roelofs
+    Tom Tanner
+
+Some files in the "scripts" directory have other copyright owners,
+but are released under this license.
+
+libpng versions 0.5, May 1995, through 0.88, January 1996, are
+Copyright (c) 1995-1996 Guy Eric Schalnat, Group 42, Inc.
+
+For the purposes of this copyright and license, "Contributing Authors"
+is defined as the following set of individuals:
+
+    Andreas Dilger
+    Dave Martindale
+    Guy Eric Schalnat
+    Paul Schmidt
+    Tim Wegner
+
+The PNG Reference Library is supplied "AS IS".  The Contributing
+Authors and Group 42, Inc. disclaim all warranties, expressed or
+implied, including, without limitation, the warranties of
+merchantability and of fitness for any purpose.  The Contributing
+Authors and Group 42, Inc. assume no liability for direct, indirect,
+incidental, special, exemplary, or consequential damages, which may
+result from the use of the PNG Reference Library, even if advised of
+the possibility of such damage.
+
+Permission is hereby granted to use, copy, modify, and distribute this
+source code, or portions hereof, for any purpose, without fee, subject
+to the following restrictions:
+
+ 1. The origin of this source code must not be misrepresented.
+
+ 2. Altered versions must be plainly marked as such and must not
+    be misrepresented as being the original source.
+
+ 3. This Copyright notice may not be removed or altered from any
+    source or altered source distribution.
+
+The Contributing Authors and Group 42, Inc. specifically permit,
+without fee, and encourage the use of this source code as a component
+to supporting the PNG file format in commercial products.  If you use
+this source code in a product, acknowledgment is not required but would
+be appreciated.
+
+
+----
+
+LIBTIFF
+
+Copyright (c) 1988-1997 Sam Leffler
+Copyright (c) 1991-1997 Silicon Graphics, Inc.
+
+Permission to use, copy, modify, distribute, and sell this software and
+its documentation for any purpose is hereby granted without fee, provided
+that (i) the above copyright notices and this permission notice appear in
+all copies of the software and related documentation, and (ii) the names of
+Sam Leffler and Silicon Graphics may not be used in any advertising or
+publicity relating to the software without the specific, prior written
+permission of Sam Leffler and Silicon Graphics.
+
+THE SOFTWARE IS PROVIDED "AS-IS" AND WITHOUT WARRANTY OF ANY KIND,
+EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY
+WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
+
+IN NO EVENT SHALL SAM LEFFLER OR SILICON GRAPHICS BE LIABLE FOR
+ANY SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND,
+OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS,
+WHETHER OR NOT ADVISED OF THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF
+LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE
+OF THIS SOFTWARE.
+
+
+----
+
+LIBWEBP
+
+Copyright (c) 2010, Google Inc. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+  * Redistributions of source code must retain the above copyright
+    notice, this list of conditions and the following disclaimer.
+
+  * Redistributions in binary form must reproduce the above copyright
+    notice, this list of conditions and the following disclaimer in
+    the documentation and/or other materials provided with the
+    distribution.
+
+  * Neither the name of Google nor the names of its contributors may
+    be used to endorse or promote products derived from this software
+    without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+
+----
+
+LIBYUV
+
+Copyright 2011 The LibYuv Project Authors. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+  * Redistributions of source code must retain the above copyright
+    notice, this list of conditions and the following disclaimer.
+
+  * Redistributions in binary form must reproduce the above copyright
+    notice, this list of conditions and the following disclaimer in
+    the documentation and/or other materials provided with the
+    distribution.
+
+  * Neither the name of Google nor the names of its contributors may
+    be used to endorse or promote products derived from this software
+    without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+
+----
+
+OPENJPEG
+
+*
+ * The copyright in this software is being made available under the 2-clauses
+ * BSD License, included below. This software may be subject to other third
+ * party and contributor rights, including patent rights, and no such rights
+ * are granted under this license.
+ *
+ * Copyright (c) 2002-2014, Universite catholique de Louvain (UCL), Belgium
+ * Copyright (c) 2002-2014, Professor Benoit Macq
+ * Copyright (c) 2003-2014, Antonin Descampe
+ * Copyright (c) 2003-2009, Francois-Olivier Devaux
+ * Copyright (c) 2005, Herve Drolon, FreeImage Team
+ * Copyright (c) 2002-2003, Yannick Verschueren
+ * Copyright (c) 2001-2003, David Janssens
+ * Copyright (c) 2011-2012, Centre National d'Etudes Spatiales (CNES), France
+ * Copyright (c) 2012, CS Systemes d'Information, France
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS `AS IS'
+ * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+ * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+
+----
+
+RAQM
+
+The MIT License (MIT)
+
+Copyright © 2015 Information Technology Authority (ITA) 
+Copyright © 2016 Khaled Hosny 
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
+
+
+----
+
+TCL_TK
+
+This software is copyrighted by the Regents of the University
+of California, Sun Microsystems, Inc., Scriptics Corporation,
+and other parties. The following terms apply to all files
+associated with the software unless explicitly disclaimed in
+individual files.
+
+The authors hereby grant permission to use, copy, modify,
+distribute, and license this software and its documentation
+for any purpose, provided that existing copyright notices are
+retained in all copies and that this notice is included
+verbatim in any distributions. No written agreement, license,
+or royalty fee is required for any of the authorized uses.
+Modifications to this software may be copyrighted by their
+authors and need not follow the licensing terms described
+here, provided that the new terms are clearly indicated on
+the first page of each file where they apply.
+
+IN NO EVENT SHALL THE AUTHORS OR DISTRIBUTORS BE LIABLE TO
+ANY PARTY FOR DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR
+CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OF THIS
+SOFTWARE, ITS DOCUMENTATION, OR ANY DERIVATIVES THEREOF, EVEN
+IF THE AUTHORS HAVE BEEN ADVISED OF THE POSSIBILITY OF SUCH
+DAMAGE.
+
+THE AUTHORS AND DISTRIBUTORS SPECIFICALLY DISCLAIM ANY
+WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
+PURPOSE, AND NON-INFRINGEMENT. THIS SOFTWARE IS PROVIDED ON
+AN "AS IS" BASIS, AND THE AUTHORS AND DISTRIBUTORS HAVE NO
+OBLIGATION TO PROVIDE MAINTENANCE, SUPPORT, UPDATES,
+ENHANCEMENTS, OR MODIFICATIONS.
+
+GOVERNMENT USE: If you are acquiring this software on behalf
+of the U.S. government, the Government shall have only
+"Restricted Rights" in the software and related documentation
+as defined in the Federal Acquisition Regulations (FARs) in
+Clause 52.227.19 (c) (2). If you are acquiring the software
+on behalf of the Department of Defense, the software shall be
+classified as "Commercial Computer Software" and the
+Government shall have only "Restricted Rights" as defined in
+Clause 252.227-7013 (c) (1) of DFARs. Notwithstanding the
+foregoing, the authors grant the U.S. Government and others
+acting in its behalf permission to use and distribute the
+software in accordance with the terms specified in this
+license
+
+
+----
+
+XAU
+
+Copyright 1988, 1993, 1994, 1998  The Open Group
+
+Permission to use, copy, modify, distribute, and sell this software and its
+documentation for any purpose is hereby granted without fee, provided that
+the above copyright notice appear in all copies and that both that
+copyright notice and this permission notice appear in supporting
+documentation.
+
+The above copyright notice and this permission notice shall be included in
+all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL THE
+OPEN GROUP BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN
+AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+
+Except as contained in this notice, the name of The Open Group shall not be
+used in advertising or otherwise to promote the sale, use or other dealings
+in this Software without prior written authorization from The Open Group.
+
+
+----
+
+XCB
+
+Copyright (C) 2001-2006 Bart Massey, Jamey Sharp, and Josh Triplett.
+All Rights Reserved.
+
+Permission is hereby granted, free of charge, to any person
+obtaining a copy of this software and associated
+documentation files (the "Software"), to deal in the
+Software without restriction, including without limitation
+the rights to use, copy, modify, merge, publish, distribute,
+sublicense, and/or sell copies of the Software, and to
+permit persons to whom the Software is furnished to do so,
+subject to the following conditions:
+
+The above copyright notice and this permission notice shall
+be included in all copies or substantial portions of the
+Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY
+KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE
+WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
+PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS
+BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER
+IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+OTHER DEALINGS IN THE SOFTWARE.
+
+Except as contained in this notice, the names of the authors
+or their institutions shall not be used in advertising or
+otherwise to promote the sale, use or other dealings in this
+Software without prior written authorization from the
+authors.
+
+
+----
+
+XDMCP
+
+Copyright 1989, 1998  The Open Group
+
+Permission to use, copy, modify, distribute, and sell this software and its
+documentation for any purpose is hereby granted without fee, provided that
+the above copyright notice appear in all copies and that both that
+copyright notice and this permission notice appear in supporting
+documentation.
+
+The above copyright notice and this permission notice shall be included in
+all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL THE
+OPEN GROUP BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN
+AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+
+Except as contained in this notice, the name of The Open Group shall not be
+used in advertising or otherwise to promote the sale, use or other dealings
+in this Software without prior written authorization from The Open Group.
+
+Author:  Keith Packard, MIT X Consortium
+
+
+----
+
+ZLIB
+
+ (C) 1995-2017 Jean-loup Gailly and Mark Adler
+
+  This software is provided 'as-is', without any express or implied
+  warranty.  In no event will the authors be held liable for any damages
+  arising from the use of this software.
+
+  Permission is granted to anyone to use this software for any purpose,
+  including commercial applications, and to alter it and redistribute it
+  freely, subject to the following restrictions:
+
+  1. The origin of this software must not be misrepresented; you must not
+     claim that you wrote the original software. If you use this software
+     in a product, an acknowledgment in the product documentation would be
+     appreciated but is not required.
+  2. Altered source versions must be plainly marked as such, and must not be
+     misrepresented as being the original software.
+  3. This notice may not be removed or altered from any source distribution.
+
+  Jean-loup Gailly        Mark Adler
+  jloup@gzip.org          madler@alumni.caltech.edu
+
+If you use the zlib library in a product, we would appreciate *not* receiving
+lengthy legal documents to sign.  The sources are provided for free but without
+warranty of any kind.  The library has been entirely written by Jean-loup
+Gailly and Mark Adler; it does not include third-party code.
+
+If you redistribute modified sources, we would appreciate that you include in
+the file ChangeLog history information documenting your changes.  Please read
+the FAQ for more information on the distribution of modified source versions.
+
+
+----
+
+ZSTD
+
+BSD License
+
+For Zstandard software
+
+Copyright (c) Meta Platforms, Inc. and affiliates. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without modification,
+are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+   list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+   this list of conditions and the following disclaimer in the documentation
+   and/or other materials provided with the distribution.
+
+ * Neither the name Facebook, nor Meta, nor the names of its contributors may
+   be used to endorse or promote products derived from this software without
+   specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/sboms/auditwheel.cdx.json b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/sboms/auditwheel.cdx.json
new file mode 100644
index 0000000000000000000000000000000000000000..4c28768bb9a014cd4c8aecde16812c08fa30eca0
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/sboms/auditwheel.cdx.json
@@ -0,0 +1 @@
+{"bomFormat": "CycloneDX", "specVersion": "1.4", "version": 1, "metadata": {"component": {"type": "library", "bom-ref": "pkg:pypi/pillow@13.0.0?file_name=pillow-13.0.0-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl", "name": "pillow", "version": "13.0.0", "purl": "pkg:pypi/pillow@13.0.0?file_name=pillow-13.0.0-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl"}, "tools": [{"name": "auditwheel", "version": "6.8.2"}]}, "components": [{"type": "library", "bom-ref": "pkg:pypi/pillow@13.0.0?file_name=pillow-13.0.0-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl", "name": "pillow", "version": "13.0.0", "purl": "pkg:pypi/pillow@13.0.0?file_name=pillow-13.0.0-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl"}, {"type": "library", "bom-ref": "pkg:rpm/almalinux/libXau@1.0.9-3.el8#ac77887fa9a50833ff7a34d7e27ebe243468552bc94f6628693cb1dfdaf102e7", "name": "libXau", "version": "1.0.9-3.el8", "purl": "pkg:rpm/almalinux/libXau@1.0.9-3.el8"}], "dependencies": [{"ref": "pkg:pypi/pillow@13.0.0?file_name=pillow-13.0.0-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl", "dependsOn": ["pkg:rpm/almalinux/libXau@1.0.9-3.el8#ac77887fa9a50833ff7a34d7e27ebe243468552bc94f6628693cb1dfdaf102e7"]}, {"ref": "pkg:rpm/almalinux/libXau@1.0.9-3.el8#ac77887fa9a50833ff7a34d7e27ebe243468552bc94f6628693cb1dfdaf102e7"}]}
\ No newline at end of file
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/sboms/pillow-13.0.0.cdx.json b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/sboms/pillow-13.0.0.cdx.json
new file mode 100644
index 0000000000000000000000000000000000000000..bf82957d983b4698062204df51383fed7c57ff59
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow-13.0.0.dist-info/sboms/pillow-13.0.0.cdx.json
@@ -0,0 +1,721 @@
+{
+  "$schema": "http://cyclonedx.org/schema/bom-1.7.schema.json",
+  "bomFormat": "CycloneDX",
+  "specVersion": "1.7",
+  "serialNumber": "urn:uuid:81a9dfa3-d713-4390-be28-45c6979b49ca",
+  "version": 1,
+  "metadata": {
+    "timestamp": "2026-10-16T20:10:55Z",
+    "lifecycles": [
+      {
+        "phase": "build"
+      }
+    ],
+    "tools": {
+      "components": [
+        {
+          "type": "application",
+          "name": "generate-sbom.py",
+          "group": "pillow"
+        }
+      ]
+    },
+    "component": {
+      "bom-ref": "pkg:pypi/pillow@13.0.0",
+      "type": "library",
+      "name": "Pillow",
+      "version": "13.0.0",
+      "description": "Python Imaging Library (fork)",
+      "licenses": [
+        {
+          "license": {
+            "id": "MIT-CMU"
+          }
+        }
+      ],
+      "purl": "pkg:pypi/pillow@13.0.0",
+      "externalReferences": [
+        {
+          "type": "website",
+          "url": "https://python-pillow.org"
+        },
+        {
+          "type": "vcs",
+          "url": "https://github.com/python-pillow/Pillow"
+        },
+        {
+          "type": "documentation",
+          "url": "https://pillow.readthedocs.io"
+        },
+        {
+          "type": "security-contact",
+          "url": "https://github.com/python-pillow/Pillow/security/policy"
+        }
+      ]
+    }
+  },
+  "components": [
+    {
+      "bom-ref": "pkg:pypi/pillow@13.0.0#c-ext/PIL._avif",
+      "type": "library",
+      "name": "PIL._avif",
+      "version": "13.0.0",
+      "description": "AVIF image format extension",
+      "licenses": [
+        {
+          "license": {
+            "id": "MIT-CMU"
+          }
+        }
+      ],
+      "purl": "pkg:pypi/pillow@13.0.0#c-ext/PIL._avif"
+    },
+    {
+      "bom-ref": "pkg:pypi/pillow@13.0.0#c-ext/PIL._imaging",
+      "type": "library",
+      "name": "PIL._imaging",
+      "version": "13.0.0",
+      "description": "Core image processing extension (decode, encode, map, display, outline, path, libImaging)",
+      "licenses": [
+        {
+          "license": {
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+          }
+        }
+      ],
+      "purl": "pkg:pypi/pillow@13.0.0#c-ext/PIL._imaging"
+    },
+    {
+      "bom-ref": "pkg:pypi/pillow@13.0.0#c-ext/PIL._imagingcms",
+      "type": "library",
+      "name": "PIL._imagingcms",
+      "version": "13.0.0",
+      "description": "LittleCMS2 colour management extension",
+      "licenses": [
+        {
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+          }
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+      ],
+      "purl": "pkg:pypi/pillow@13.0.0#c-ext/PIL._imagingcms"
+    },
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+      "type": "library",
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+      "description": "FreeType font rendering extension",
+      "licenses": [
+        {
+          "license": {
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+      "purl": "pkg:pypi/pillow@13.0.0#c-ext/PIL._imagingft"
+    },
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+      "description": "Image math operations extension",
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+          }
+        }
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+      "purl": "pkg:pypi/pillow@13.0.0#c-ext/PIL._imagingmath"
+    },
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+      "bom-ref": "pkg:pypi/pillow@13.0.0#c-ext/PIL._imagingmorph",
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+      "externalReferences": [
+        {
+          "type": "vcs",
+          "url": "https://github.com/python-pillow/Pillow/tree/main/src/thirdparty/raqm"
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+      "type": "library",
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+      "licenses": [
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+          }
+        }
+      ],
+      "externalReferences": [
+        {
+          "type": "website",
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+      "externalReferences": [
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+      "externalReferences": [
+        {
+          "type": "website",
+          "url": "https://pngquant.org/lib/"
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+      "name": "libjpeg / libjpeg-turbo",
+      "version": "3.2.0",
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+          "license": {
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow.libs/libwebp-51b0b3f7.so.7.2.0 b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow.libs/libwebp-51b0b3f7.so.7.2.0
new file mode 100644
index 0000000000000000000000000000000000000000..2ce60ce368af6dee63587c5b16c34ad313b50681
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+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow.libs/libwebp-51b0b3f7.so.7.2.0
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a97159a7c36acacb112618eb74720c97bbab4ecc499a8bfeb495dd726285259
+size 745233
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow.libs/libxcb-9065bb12.so.1.1.0 b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow.libs/libxcb-9065bb12.so.1.1.0
new file mode 100644
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+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow.libs/libxcb-9065bb12.so.1.1.0
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3707868b0b2e78dbdac0994d2977b0ec4303c9c6250f03576b1bd93c42cad63
+size 228569
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow.libs/libzstd-40ad5e7e.so.1.5.7 b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow.libs/libzstd-40ad5e7e.so.1.5.7
new file mode 100644
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--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pillow.libs/libzstd-40ad5e7e.so.1.5.7
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95a5af7845018639470635243c36b428f90af32b728804af6d951e7fcb08bbea
+size 815025
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..451ca2f866039ffb86941ebae7a73789bf2fcedd
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/__init__.py
@@ -0,0 +1,13 @@
+from __future__ import annotations
+
+__version__ = "26.2.1"
+
+
+def main(args: list[str] | None = None) -> int:
+    """This is an internal API only meant for use by pip's own console scripts.
+
+    For additional details, see https://github.com/pypa/pip/issues/7498.
+    """
+    from pip._internal.utils.entrypoints import _wrapper
+
+    return _wrapper(args)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/__main__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/__main__.py
new file mode 100644
index 0000000000000000000000000000000000000000..094361cd1aa963d4b7e13ed0d22484390970d5f3
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/__main__.py
@@ -0,0 +1,24 @@
+import os
+import sys
+
+# Remove '' and current working directory from the first entry
+# of sys.path, if present to avoid using current directory
+# in pip commands check, freeze, install, list and show,
+# when invoked as python -m pip 
+if sys.path[0] in ("", os.getcwd()):
+    sys.path.pop(0)
+
+# If we are running from a wheel, add the wheel to sys.path
+# This allows the usage python pip-*.whl/pip install pip-*.whl
+if not __spec__ or __spec__.parent == "":
+    # __file__ is pip-*.whl/pip/__main__.py
+    # first dirname call strips of '/__main__.py', second strips off '/pip'
+    # Resulting path is the name of the wheel itself
+    # Add that to sys.path so we can import pip
+    path = os.path.dirname(os.path.dirname(__file__))
+    sys.path.insert(0, path)
+
+if __name__ == "__main__":
+    from pip._internal.cli.main import main as _main
+
+    sys.exit(_main())
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/__pip-runner__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/__pip-runner__.py
new file mode 100644
index 0000000000000000000000000000000000000000..a1aee8195308a2095a6eff9019f6aeee4d89b2a6
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/__pip-runner__.py
@@ -0,0 +1,50 @@
+"""Execute exactly this copy of pip, within a different environment.
+
+This file is named as it is, to ensure that this module can't be imported via
+an import statement.
+"""
+
+# /!\ This version compatibility check section must be Python 2 compatible. /!\
+
+import sys
+
+# Copied from pyproject.toml
+PYTHON_REQUIRES = (3, 10)
+
+
+def version_str(version):  # type: ignore
+    return ".".join(str(v) for v in version)
+
+
+if sys.version_info[:2] < PYTHON_REQUIRES:
+    raise SystemExit(
+        "This version of pip does not support python {} (requires >={}).".format(
+            version_str(sys.version_info[:2]), version_str(PYTHON_REQUIRES)
+        )
+    )
+
+# From here on, we can use Python 3 features, but the syntax must remain
+# Python 2 compatible.
+
+import runpy  # noqa: E402
+from importlib.machinery import PathFinder  # noqa: E402
+from os.path import dirname  # noqa: E402
+
+PIP_SOURCES_ROOT = dirname(dirname(__file__))
+
+
+class PipImportRedirectingFinder:
+    @classmethod
+    def find_spec(self, fullname, path=None, target=None):  # type: ignore
+        if fullname != "pip":
+            return None
+
+        spec = PathFinder.find_spec(fullname, [PIP_SOURCES_ROOT], target)
+        assert spec, (PIP_SOURCES_ROOT, fullname)
+        return spec
+
+
+sys.meta_path.insert(0, PipImportRedirectingFinder())
+
+assert __name__ == "__main__", "Cannot run __pip-runner__.py as a non-main module"
+runpy.run_module("pip", run_name="__main__", alter_sys=True)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/__pycache__/__init__.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..24d0baf0c31c2902e45623a29aea8d7ede8c0dee
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/__init__.py
@@ -0,0 +1,18 @@
+from __future__ import annotations
+
+from pip._internal.utils import _log
+
+# init_logging() must be called before any call to logging.getLogger()
+# which happens at import of most modules.
+_log.init_logging()
+
+
+def main(args: list[str] | None = None) -> int:
+    """This is preserved for old console scripts that may still be referencing
+    it.
+
+    For additional details, see https://github.com/pypa/pip/issues/7498.
+    """
+    from pip._internal.utils.entrypoints import _wrapper
+
+    return _wrapper(args)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/__pycache__/__init__.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..194e2742aeb5babdf13e400ce380ad76c0a20369
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/__init__.py
@@ -0,0 +1,25 @@
+"""Build environments used for isolation during build backend calls."""
+
+from pip._internal.build_env.base import (
+    BuildEnvironment,
+    BuildEnvironmentInstaller,
+    BuildIsolationMode,
+)
+from pip._internal.build_env.installer import (
+    InprocessBuildEnvironmentInstaller,
+    SubprocessBuildEnvironmentInstaller,
+)
+from pip._internal.build_env.noop import NoOpBuildEnvironment
+from pip._internal.build_env.venv import VenvBuildEnvironment
+from pip._internal.build_env.virtual import VirtualBuildEnvironment
+
+__all__ = [
+    "BuildEnvironment",
+    "BuildEnvironmentInstaller",
+    "BuildIsolationMode",
+    "InprocessBuildEnvironmentInstaller",
+    "NoOpBuildEnvironment",
+    "SubprocessBuildEnvironmentInstaller",
+    "VenvBuildEnvironment",
+    "VirtualBuildEnvironment",
+]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/__pycache__/__init__.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/__pycache__/virtual.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/__pycache__/virtual.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/base.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/base.py
new file mode 100644
index 0000000000000000000000000000000000000000..ce26d9c03fc8722a4d6ede5146531bd89ca2b59e
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/base.py
@@ -0,0 +1,103 @@
+from __future__ import annotations
+
+import abc
+from collections.abc import Iterable
+from contextlib import AbstractContextManager as ContextManager
+from typing import TYPE_CHECKING, Literal, Protocol
+
+from pip._vendor.packaging.version import Version
+
+from pip._internal.locations import get_scheme
+from pip._internal.metadata import get_default_environment, get_environment
+from pip._internal.utils.packaging import get_requirement
+
+if TYPE_CHECKING:
+    from pip._internal.req.req_install import InstallRequirement
+
+
+BuildIsolationMode = Literal["off", "virtual", "venv"]
+
+
+def _dedup(a: str, b: str) -> tuple[str] | tuple[str, str]:
+    return (a, b) if a != b else (a,)
+
+
+class Prefix:
+    # TODO: simplify this data model when the legacy subprocess installer is removed
+    def __init__(self, path: str, *, venv_executable: str | None = None) -> None:
+        self.path = path
+        self.setup = False
+        scheme = get_scheme("", prefix=path)
+        self.bin_dir = scheme.scripts
+        self.lib_dirs = _dedup(scheme.purelib, scheme.platlib)
+        self.venv_executable = venv_executable
+
+
+class BuildEnvironmentInstaller(Protocol):
+    """
+    Interface for installing build dependencies into an isolated build
+    environment.
+    """
+
+    def install(
+        self,
+        requirements: Iterable[str],
+        prefix: Prefix,
+        *,
+        kind: str,
+        for_req: InstallRequirement | None,
+    ) -> None: ...
+
+
+class BuildEnvironment(ContextManager[None], metaclass=abc.ABCMeta):
+    """Creates and manages an isolated environment to install build deps"""
+
+    lib_dirs: list[str]
+    python_executable: str
+
+    @abc.abstractmethod
+    def __init__(self, installer: BuildEnvironmentInstaller): ...
+
+    def check_requirements(
+        self, reqs: Iterable[str]
+    ) -> tuple[set[tuple[str, str]], set[str]]:
+        """Return 2 sets:
+        - conflicting requirements: set of (installed, wanted) reqs tuples
+        - missing requirements: set of reqs
+        """
+        missing = set()
+        conflicting = set()
+        if reqs:
+            env = (
+                get_environment(self.lib_dirs)
+                if hasattr(self, "lib_dirs")
+                else get_default_environment()
+            )
+            for req_str in reqs:
+                req = get_requirement(req_str)
+                # We're explicitly evaluating with an empty extra value, since build
+                # environments are not provided any mechanism to select specific extras.
+                if req.marker is not None and not req.marker.evaluate({"extra": ""}):
+                    continue
+                dist = env.get_distribution(req.name)
+                if not dist:
+                    missing.add(req_str)
+                    continue
+                if isinstance(dist.version, Version):
+                    installed_req_str = f"{req.name}=={dist.version}"
+                else:
+                    installed_req_str = f"{req.name}==={dist.version}"
+                if not req.specifier.contains(dist.version, prereleases=True):
+                    conflicting.add((installed_req_str, req_str))
+                # FIXME: Consider direct URL?
+        return conflicting, missing
+
+    @abc.abstractmethod
+    def install_requirements(
+        self,
+        requirements: Iterable[str],
+        prefix_as_string: str,
+        *,
+        kind: str,
+        for_req: InstallRequirement | None = None,
+    ) -> None: ...
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/installer.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/installer.py
new file mode 100644
index 0000000000000000000000000000000000000000..790ad5f3b7a623c9f20b4d5383c6b15d61c60243
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/installer.py
@@ -0,0 +1,333 @@
+from __future__ import annotations
+
+import logging
+import sys
+import textwrap
+from collections.abc import Iterable, Sequence
+from contextlib import AbstractContextManager as ContextManager
+from contextlib import nullcontext
+from io import StringIO
+from typing import TYPE_CHECKING
+
+from pip._internal.build_env.base import Prefix
+from pip._internal.cli.spinners import open_rich_spinner, open_spinner
+from pip._internal.exceptions import (
+    BuildDependencyInstallError,
+    DiagnosticPipError,
+    InstallWheelBuildError,
+    PipError,
+)
+from pip._internal.metadata import get_environment
+from pip._internal.utils.logging import VERBOSE, capture_logging
+from pip._internal.utils.misc import get_runnable_pip
+from pip._internal.utils.subprocess import call_subprocess
+from pip._internal.utils.temp_dir import TempDirectory
+
+if TYPE_CHECKING:
+    from pip._internal.cache import WheelCache
+    from pip._internal.index.package_finder import PackageFinder
+    from pip._internal.operations.build.build_tracker import BuildTracker
+    from pip._internal.req.req_install import InstallRequirement
+    from pip._internal.resolution.base import BaseResolver
+
+
+logger = logging.getLogger(__name__)
+
+
+class SubprocessBuildEnvironmentInstaller:
+    """
+    Install build dependencies by calling pip in a subprocess.
+    """
+
+    def __init__(
+        self,
+        finder: PackageFinder,
+        build_constraints: list[str] | None = None,
+    ) -> None:
+        self.finder = finder
+        self._build_constraints = build_constraints or []
+
+    def install(
+        self,
+        requirements: Iterable[str],
+        prefix: Prefix,
+        *,
+        kind: str,
+        for_req: InstallRequirement | None,
+    ) -> None:
+        finder = self.finder
+        args: list[str] = [
+            get_runnable_pip(),
+            "install",
+            # HACK: --prefix shouldn't be necessary for venv environments, but
+            # we set it anyway so if it's set via an envvar or configuration
+            # file, it won't break things, *sigh*.
+            "--prefix",
+            prefix.path,
+            "--no-user",
+            "--no-warn-script-location",
+            "--disable-pip-version-check",
+            # As the build environment is ephemeral, it's wasteful to
+            # pre-compile everything, especially as not every Python
+            # module will be used/compiled in most cases.
+            "--no-compile",
+            # The prefix specified two lines above, thus
+            # target from config file or env var should be ignored
+            "--target",
+            "",
+        ]
+        if prefix.venv_executable:
+            args.insert(0, prefix.venv_executable)
+        else:
+            args.insert(0, sys.executable)
+            args.append("--ignore-installed")
+
+        if logger.getEffectiveLevel() <= logging.DEBUG:
+            args.append("-vv")
+        elif logger.getEffectiveLevel() <= VERBOSE:
+            args.append("-v")
+        for format_control in ("no_binary", "only_binary"):
+            formats = getattr(finder.format_control, format_control)
+            args.extend(
+                (
+                    "--" + format_control.replace("_", "-"),
+                    ",".join(sorted(formats or {":none:"})),
+                )
+            )
+
+        if finder.release_control is not None:
+            # Use ordered args to preserve the user's original command-line order
+            # This is important because later flags can override earlier ones
+            for attr_name, value in finder.release_control.get_ordered_args():
+                args.extend(("--" + attr_name.replace("_", "-"), value))
+
+        index_urls = finder.index_urls
+        if index_urls:
+            args.extend(["-i", index_urls[0]])
+            for extra_index in index_urls[1:]:
+                args.extend(["--extra-index-url", extra_index])
+        else:
+            args.append("--no-index")
+        for link in finder.find_links:
+            args.extend(["--find-links", link])
+
+        # is not None: forward an empty --proxy "" (disable proxying) too.
+        if finder.proxy is not None:
+            args.extend(["--proxy", finder.proxy])
+        if finder.no_proxy_env:
+            args.append("--no-proxy-env")
+        for host in finder.trusted_hosts:
+            args.extend(["--trusted-host", host])
+        if finder.custom_cert:
+            args.extend(["--cert", finder.custom_cert])
+        if finder.client_cert:
+            args.extend(["--client-cert", finder.client_cert])
+        if finder.prefer_binary:
+            args.append("--prefer-binary")
+        if finder.refresh_package:
+            args.extend(["--refresh-package", ",".join(finder.refresh_package)])
+
+        # Only build constraints apply in the isolated build environment.
+        # _PIP_IN_BUILD_IGNORE_CONSTRAINTS tells the subprocess to ignore the
+        # regular constraints it inherits (via PIP_CONSTRAINT or config files).
+        # Build constraints reach it through --build-constraint, which also
+        # constrains any nested builds.
+        for constraint_file in self._build_constraints:
+            args.extend(["--build-constraint", constraint_file])
+
+        if finder.uploaded_prior_to:
+            args.extend(["--uploaded-prior-to", finder.uploaded_prior_to.isoformat()])
+        args.append("--")
+        args.extend(requirements)
+
+        identify_requirement = (
+            f" for {for_req.name}" if for_req and for_req.name else ""
+        )
+        with open_spinner(f"Installing {kind}") as spinner:
+            call_subprocess(
+                args,
+                command_desc=f"installing {kind}{identify_requirement}",
+                spinner=spinner,
+                extra_environ={"_PIP_IN_BUILD_IGNORE_CONSTRAINTS": "1"},
+            )
+
+
+class InprocessBuildEnvironmentInstaller:
+    """
+    Install build dependencies via the already running pip process.
+
+    This contains a stripped down version of the install command with
+    only the logic necessary for installing build dependencies. The
+    finder, session, build tracker, and wheel cache are reused, but new
+    instances of everything else are created as needed.
+
+    Options are inherited from the parent install command unless
+    they don't make sense for build dependencies (in which case, they
+    are hard-coded, see comments below).
+    """
+
+    # TODO: this plays poorly with venv-based build environments, but cannot be
+    # fixed until pip gains better support for operating within a Python
+    # environment that isn't the running environment.
+
+    def __init__(
+        self,
+        *,
+        finder: PackageFinder,
+        build_tracker: BuildTracker,
+        wheel_cache: WheelCache,
+        build_constraints: Sequence[InstallRequirement] = (),
+        verbosity: int = 0,
+    ) -> None:
+        from pip._internal.operations.prepare import RequirementPreparer
+
+        self._finder = finder
+        self._build_constraints = build_constraints
+        self._wheel_cache = wheel_cache
+        self._level = 0
+
+        build_dir = TempDirectory(kind="build-env-install", globally_managed=True)
+        self._preparer = RequirementPreparer(
+            build_isolation_installer=self,
+            # Inherited options or state.
+            finder=finder,
+            session=finder._link_collector.session,
+            build_dir=build_dir.path,
+            build_tracker=build_tracker,
+            verbosity=verbosity,
+            # This is irrelevant as it only applies to editable requirements.
+            src_dir="",
+            # Hard-coded options (that should NOT be inherited).
+            download_dir=None,
+            build_isolation="virtual",
+            check_build_deps=False,
+            progress_bar="off",
+            # TODO: hash-checking should be extended to build deps, but that is
+            # deferred for later as it'd be a breaking change.
+            require_hashes=False,
+            use_user_site=False,
+            lazy_wheel=False,
+            legacy_resolver=False,
+            allow_editables=True,
+        )
+
+    def install(
+        self,
+        requirements: Iterable[str],
+        prefix: Prefix,
+        *,
+        kind: str,
+        for_req: InstallRequirement | None,
+    ) -> None:
+        """Install entrypoint. Manages output capturing and error handling."""
+        capture_logs = not logger.isEnabledFor(VERBOSE) and self._level == 0
+        if capture_logs:
+            # Hide the logs from the installation of build dependencies.
+            # They will be shown only if an error occurs.
+            capture_ctx: ContextManager[StringIO] = capture_logging()
+            spinner: ContextManager[None] = open_rich_spinner(f"Installing {kind}")
+        else:
+            # Otherwise, pass-through all logs (with a header).
+            capture_ctx, spinner = nullcontext(StringIO()), nullcontext()
+            logger.info("Installing %s ...", kind)
+
+        try:
+            self._level += 1
+            with spinner, capture_ctx as stream:
+                self._install_impl(requirements, prefix)
+
+        except DiagnosticPipError as exc:
+            # Format similar to a nested subprocess error, where the
+            # causing error is shown first, followed by the build error.
+            logger.info(textwrap.dedent(stream.getvalue()))
+            logger.error("%s", exc, extra={"rich": True})
+            logger.info("")
+            raise BuildDependencyInstallError(
+                for_req, requirements, cause=exc, log_lines=None
+            )
+
+        except Exception as exc:
+            logs: list[str] | None = textwrap.dedent(stream.getvalue()).splitlines()
+            if not capture_logs:
+                # If logs aren't being captured, then display the error inline
+                # with the rest of the logs.
+                logs = None
+                if isinstance(exc, PipError):
+                    logger.error("%s", exc)
+                else:
+                    logger.exception("pip crashed unexpectedly")
+            raise BuildDependencyInstallError(
+                for_req, requirements, cause=exc, log_lines=logs
+            )
+
+        finally:
+            self._level -= 1
+
+    def _install_impl(self, requirements: Iterable[str], prefix: Prefix) -> None:
+        """Core build dependency install logic."""
+        from pip._internal.commands.install import installed_packages_summary
+        from pip._internal.req import install_given_reqs
+        from pip._internal.req.constructors import install_req_from_line
+        from pip._internal.wheel_builder import build
+
+        ireqs = [install_req_from_line(req, user_supplied=True) for req in requirements]
+        ireqs.extend(self._build_constraints)
+
+        resolver = self._make_resolver()
+        resolved_set = resolver.resolve(ireqs, check_supported_wheels=True)
+        self._preparer.prepare_linked_requirements_more(
+            resolved_set.requirements.values()
+        )
+
+        reqs_to_build = [
+            r for r in resolved_set.requirements_to_install if not r.is_wheel
+        ]
+        _, build_failures = build(
+            reqs_to_build, self._wheel_cache, verify=True, allow_editables=True
+        )
+        if build_failures:
+            raise InstallWheelBuildError(build_failures)
+
+        installed = install_given_reqs(
+            resolver.get_installation_order(resolved_set),
+            prefix=prefix.path,
+            # Hard-coded options (that should NOT be inherited).
+            root=None,
+            home=None,
+            warn_script_location=False,
+            use_user_site=False,
+            # As the build environment is ephemeral, it's wasteful to
+            # pre-compile everything since not all modules will be used.
+            pycompile=False,
+            progress_bar="off",
+            # Link console scripts to the build env's interpreter, not pip's.
+            script_executable=prefix.venv_executable,
+        )
+
+        env = get_environment(list(prefix.lib_dirs))
+        if summary := installed_packages_summary(installed, env):
+            logger.info(summary)
+
+    def _make_resolver(self) -> BaseResolver:
+        """Create a new resolver for one time use."""
+        # Legacy installer never used the legacy resolver so create a
+        # resolvelib resolver directly. Yuck.
+        from pip._internal.req.constructors import install_req_from_req_string
+        from pip._internal.resolution.resolvelib.resolver import Resolver
+
+        return Resolver(
+            make_install_req=install_req_from_req_string,
+            # Inherited state.
+            preparer=self._preparer,
+            finder=self._finder,
+            wheel_cache=self._wheel_cache,
+            # Hard-coded options (that should NOT be inherited).
+            ignore_requires_python=False,
+            use_user_site=False,
+            ignore_dependencies=False,
+            only_dependencies=False,
+            ignore_installed=True,
+            force_reinstall=False,
+            upgrade_strategy="to-satisfy-only",
+            py_version_info=None,
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/noop.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/noop.py
new file mode 100644
index 0000000000000000000000000000000000000000..c9ee81c1b9c11f7b83abd9f222bd4c1f720a4f29
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/noop.py
@@ -0,0 +1,42 @@
+from __future__ import annotations
+
+import sys
+from collections.abc import Iterable
+from types import TracebackType
+from typing import TYPE_CHECKING
+
+from pip._internal.build_env.base import BuildEnvironment
+
+if TYPE_CHECKING:
+    from pip._internal.req.req_install import InstallRequirement
+
+
+class NoOpBuildEnvironment(BuildEnvironment):
+    """A no-op drop-in replacement for BuildEnvironment"""
+
+    def __init__(self) -> None:
+        self.python_executable = sys.executable
+
+    def __enter__(self) -> None:
+        pass
+
+    def __exit__(
+        self,
+        exc_type: type[BaseException] | None,
+        exc_val: BaseException | None,
+        exc_tb: TracebackType | None,
+    ) -> None:
+        pass
+
+    def cleanup(self) -> None:
+        pass
+
+    def install_requirements(
+        self,
+        requirements: Iterable[str],
+        prefix_as_string: str,
+        *,
+        kind: str,
+        for_req: InstallRequirement | None = None,
+    ) -> None:
+        raise NotImplementedError()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/venv.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/venv.py
new file mode 100644
index 0000000000000000000000000000000000000000..d6d7c5055a19f3051dee33999233c062517d2c0c
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/venv.py
@@ -0,0 +1,145 @@
+from __future__ import annotations
+
+import os
+import sys
+import sysconfig
+from collections.abc import Iterable
+from types import TracebackType
+from typing import TYPE_CHECKING
+
+from pip._internal.build_env.base import (
+    BuildEnvironment,
+    BuildEnvironmentInstaller,
+    Prefix,
+)
+from pip._internal.exceptions import VenvCreationError, VenvImportError
+from pip._internal.utils.temp_dir import TempDirectory, tempdir_kinds
+
+if TYPE_CHECKING:
+    from pip._internal.req.req_install import InstallRequirement
+
+
+def _get_venv_path_from_sysconfig(name: str, env_dir: str) -> str:
+    vars = {
+        "base": env_dir,
+        "platbase": env_dir,
+    }
+    return sysconfig.get_path(name, scheme="venv", vars=vars)
+
+
+class VenvBuildEnvironment(BuildEnvironment):
+    """A venv-based build environment."""
+
+    def __init__(self, installer: BuildEnvironmentInstaller) -> None:
+        # We defer this import because certain distributions of Python do not include
+        # a functional venv out of the box.
+        try:
+            import venv
+        except ImportError:
+            raise VenvImportError
+
+        self._env_path = TempDirectory(
+            kind=tempdir_kinds.BUILD_ENV, globally_managed=True
+        ).path
+        # Use symlinks to support relocatable Python installations on POSIX, including
+        # python-build-standalone. This matches upstream venv CLI's behaviour.
+        env = venv.EnvBuilder(symlinks=(os.name != "nt"))
+        try:
+            context = env.ensure_directories(self._env_path)
+            env.create(self._env_path)
+        except OSError as e:
+            raise VenvCreationError(str(e))
+
+        if sys.version_info >= (3, 12):
+            # The context object was only documented in Python 3.12
+            self.lib_dirs = [context.lib_path]
+            self._bin_path = context.bin_path
+        elif sys.version_info[:2] == (3, 11):
+            # On Python 3.11, we can use sysconfig.
+            self.lib_dirs = [_get_venv_path_from_sysconfig("purelib", self._env_path)]
+            self._bin_path = _get_venv_path_from_sysconfig("scripts", self._env_path)
+        else:
+            # Otherwise, we need to manually construct all the paths... sigh.
+            if sys.platform == "win32":
+                libpath = os.path.join(self._env_path, "Lib", "site-packages")
+            else:
+                python = "pypy" if sys.implementation.name == "pypy" else "python"
+                libpath = os.path.join(
+                    self._env_path,
+                    "lib",
+                    f"{python}{sys.version_info.major}.{sys.version_info.minor}",
+                    "site-packages",
+                )
+            self.lib_dirs = [libpath]
+            # Same reasoning for try-except as for python_executable below.
+            try:
+                self._bin_path = context.bin_path
+            except AttributeError:
+                scripts_dir = "Scripts" if os.name == "nt" else "bin"
+                self._bin_path = os.path.join(self._env_path, scripts_dir)
+
+        # There are enough ways trying to construct the Python executable path can go
+        # wrong that we're better off assuming that the context object has the right
+        # attributes, and only when they don't exist do we try to guess.
+        #
+        # These attributes seem to exist in every CPython version after 3.10.1 and
+        # are documented to exist on 3.12 and higher.
+        try:
+            self.python_executable = context.env_exec_cmd
+        except AttributeError:
+            try:
+                self.python_executable = context.env_exe
+            except AttributeError:
+                executable_name = "python.exe" if os.name == "nt" else "python"
+                self.python_executable = os.path.join(self._bin_path, executable_name)
+
+        self._save_env: dict[str, str | None] = {}
+        self._installer = installer
+
+        if not os.path.exists(self.python_executable):
+            # This error is only likely on Windows due to interference from AV software.
+            raise VenvCreationError(
+                f"Python executable failed to copy to {self.python_executable}"
+            )
+
+    def __enter__(self) -> None:
+        # We want backend calls to be able to use binaries installed as if this
+        # virtual environment was "activated".
+        self._save_env = {
+            name: os.environ.get(name, None) for name in ("PATH", "PYTHONPATH")
+        }
+
+        new_path = [self._bin_path]
+        if old_path := self._save_env["PATH"]:
+            new_path.extend(old_path.split(os.pathsep))
+        # However, we don't want a pre-existing PYTHONPATH to influence the
+        # backend calls.
+        os.environ.update({"PATH": os.pathsep.join(new_path), "PYTHONPATH": ""})
+
+    def __exit__(
+        self,
+        exc_type: type[BaseException] | None,
+        exc_val: BaseException | None,
+        exc_tb: TracebackType | None,
+    ) -> None:
+        for varname, old_value in self._save_env.items():
+            if old_value is None:
+                os.environ.pop(varname, None)
+            else:
+                os.environ[varname] = old_value
+
+    def install_requirements(
+        self,
+        requirements: Iterable[str],
+        prefix_as_string: str,
+        *,
+        kind: str,
+        for_req: InstallRequirement | None = None,
+    ) -> None:
+        if not requirements:
+            return
+
+        # TODO: when better support for installing to arbitrary Python environments
+        # is added, replace this prefix hack with that.
+        prefix = Prefix(self._env_path, venv_executable=self.python_executable)
+        self._installer.install(requirements, prefix, kind=kind, for_req=for_req)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/virtual.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/virtual.py
new file mode 100644
index 0000000000000000000000000000000000000000..2f06c6ca83100644eb7d9e9d86f310443a93e353
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/build_env/virtual.py
@@ -0,0 +1,139 @@
+from __future__ import annotations
+
+import os
+import site
+import sys
+import textwrap
+from collections import OrderedDict
+from collections.abc import Iterable
+from types import TracebackType
+from typing import TYPE_CHECKING
+
+from pip._internal.build_env.base import (
+    BuildEnvironment,
+    BuildEnvironmentInstaller,
+    Prefix,
+)
+from pip._internal.utils.temp_dir import TempDirectory, tempdir_kinds
+
+if TYPE_CHECKING:
+    from pip._internal.req.req_install import InstallRequirement
+
+
+def get_system_sitepackages() -> set[str]:
+    """Get system site packages, as a normalized set of strings."""
+    system_sites = site.getsitepackages()
+    return {os.path.normcase(path) for path in system_sites}
+
+
+class VirtualBuildEnvironment(BuildEnvironment):
+    """Legacy build environment implementation.
+
+    Patches sys.path and uses sitecustomize.py to isolate Python processes. It has
+    known bugs and weird edge cases, but it exists as a fallback for platforms where
+    the venv module is unavailable or dysfunctional.
+    """
+
+    def __init__(self, installer: BuildEnvironmentInstaller) -> None:
+        self.python_executable = sys.executable
+        self.installer = installer
+        temp_dir = TempDirectory(kind=tempdir_kinds.BUILD_ENV, globally_managed=True)
+
+        self._prefixes = OrderedDict(
+            (name, Prefix(os.path.join(temp_dir.path, name)))
+            for name in ("normal", "overlay")
+        )
+
+        self._bin_dirs: list[str] = []
+        self.lib_dirs: list[str] = []
+        for prefix in reversed(list(self._prefixes.values())):
+            self._bin_dirs.append(prefix.bin_dir)
+            self.lib_dirs.extend(prefix.lib_dirs)
+
+        # Customize site to:
+        # - ensure .pth files are honored
+        # - prevent access to system site packages
+        system_sites = get_system_sitepackages()
+
+        self._site_dir = os.path.join(temp_dir.path, "site")
+        if not os.path.exists(self._site_dir):
+            os.mkdir(self._site_dir)
+        with open(
+            os.path.join(self._site_dir, "sitecustomize.py"), "w", encoding="utf-8"
+        ) as fp:
+            fp.write(textwrap.dedent("""
+                import os, site, sys
+
+                # First, discover all system-sites related paths.
+                original_sys_path = sys.path[:]
+                # Clear sys.path so addsitedir() will add system site paths and paths
+                # added by contained .pth files to sys.path reliably. This is necessary
+                # since Python 3.15, which notably no longer re-executes .pth files for
+                # known paths.
+                sys.path = []
+                known_paths = set()
+                for path in {system_sites!r}:
+                    site.addsitedir(path, known_paths=known_paths)
+                system_paths = set(os.path.normcase(path) for path in sys.path)
+
+                # Drop discovered system-sites related paths.
+                original_sys_path = [
+                    path for path in original_sys_path
+                    if os.path.normcase(path) not in system_paths
+                ]
+                sys.path = original_sys_path
+
+                # Second, add lib directories.
+                # ensuring .pth file are processed.
+                for path in {lib_dirs!r}:
+                    assert not path in sys.path
+                    site.addsitedir(path)
+                """).format(system_sites=system_sites, lib_dirs=self.lib_dirs))
+
+    def __enter__(self) -> None:
+        self._save_env = {
+            name: os.environ.get(name, None)
+            for name in ("PATH", "PYTHONNOUSERSITE", "PYTHONPATH")
+        }
+
+        path = self._bin_dirs[:]
+        old_path = self._save_env["PATH"]
+        if old_path:
+            path.extend(old_path.split(os.pathsep))
+
+        pythonpath = [self._site_dir]
+
+        os.environ.update(
+            {
+                "PATH": os.pathsep.join(path),
+                "PYTHONNOUSERSITE": "1",
+                "PYTHONPATH": os.pathsep.join(pythonpath),
+            }
+        )
+
+    def __exit__(
+        self,
+        exc_type: type[BaseException] | None,
+        exc_val: BaseException | None,
+        exc_tb: TracebackType | None,
+    ) -> None:
+        for varname, old_value in self._save_env.items():
+            if old_value is None:
+                os.environ.pop(varname, None)
+            else:
+                os.environ[varname] = old_value
+
+    def install_requirements(
+        self,
+        requirements: Iterable[str],
+        prefix_as_string: str,
+        *,
+        kind: str,
+        for_req: InstallRequirement | None = None,
+    ) -> None:
+        prefix = self._prefixes[prefix_as_string]
+        assert not prefix.setup
+        prefix.setup = True
+        if not requirements:
+            return
+        self.installer.install(requirements, prefix, kind=kind, for_req=for_req)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cache.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cache.py
new file mode 100644
index 0000000000000000000000000000000000000000..462231a36ec9ac5ea8faa99cdb4623696c1ca911
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cache.py
@@ -0,0 +1,294 @@
+"""Cache Management"""
+
+from __future__ import annotations
+
+import hashlib
+import json
+import logging
+import os
+from pathlib import Path
+from typing import Any
+
+from pip._vendor.packaging.tags import Tag, interpreter_name, interpreter_version
+from pip._vendor.packaging.utils import canonicalize_name
+
+from pip._internal.exceptions import InvalidWheelFilename
+from pip._internal.models.direct_url import DirectUrl
+from pip._internal.models.link import Link
+from pip._internal.models.wheel import Wheel
+from pip._internal.utils.temp_dir import TempDirectory, tempdir_kinds
+from pip._internal.utils.urls import path_to_url
+
+logger = logging.getLogger(__name__)
+
+ORIGIN_JSON_NAME = "origin.json"
+
+
+def _hash_dict(d: dict[str, str]) -> str:
+    """Return a stable sha224 of a dictionary."""
+    s = json.dumps(d, sort_keys=True, separators=(",", ":"), ensure_ascii=True)
+    return hashlib.sha224(s.encode("ascii")).hexdigest()
+
+
+class Cache:
+    """An abstract class - provides cache directories for data from links
+
+    :param cache_dir: The root of the cache.
+    """
+
+    def __init__(self, cache_dir: str) -> None:
+        super().__init__()
+        assert not cache_dir or os.path.isabs(cache_dir)
+        self.cache_dir = cache_dir or None
+
+    def _get_cache_path_parts(self, link: Link) -> list[str]:
+        """Get parts of part that must be os.path.joined with cache_dir"""
+
+        # We want to generate an url to use as our cache key, we don't want to
+        # just reuse the URL because it might have other items in the fragment
+        # and we don't care about those.
+        key_parts = {"url": link.url_without_fragment}
+        if link.hash_name is not None and link.hash is not None:
+            key_parts[link.hash_name] = link.hash
+        if link.subdirectory_fragment:
+            key_parts["subdirectory"] = link.subdirectory_fragment
+
+        # Include interpreter name, major and minor version in cache key
+        # to cope with ill-behaved sdists that build a different wheel
+        # depending on the python version their setup.py is being run on,
+        # and don't encode the difference in compatibility tags.
+        # https://github.com/pypa/pip/issues/7296
+        key_parts["interpreter_name"] = interpreter_name()
+        key_parts["interpreter_version"] = interpreter_version()
+
+        # Encode our key url with sha224, we'll use this because it has similar
+        # security properties to sha256, but with a shorter total output (and
+        # thus less secure). However the differences don't make a lot of
+        # difference for our use case here.
+        hashed = _hash_dict(key_parts)
+
+        # We want to nest the directories some to prevent having a ton of top
+        # level directories where we might run out of sub directories on some
+        # FS.
+        parts = [hashed[:2], hashed[2:4], hashed[4:6], hashed[6:]]
+
+        return parts
+
+    def _get_candidates(self, link: Link, canonical_package_name: str) -> list[Any]:
+        can_not_cache = not self.cache_dir or not canonical_package_name or not link
+        if can_not_cache:
+            return []
+
+        path = self.get_path_for_link(link)
+        if os.path.isdir(path):
+            return [(candidate, path) for candidate in os.listdir(path)]
+        return []
+
+    def get_path_for_link(self, link: Link) -> str:
+        """Return a directory to store cached items in for link."""
+        raise NotImplementedError()
+
+    def get(
+        self,
+        link: Link,
+        package_name: str | None,
+        supported_tags: list[Tag],
+    ) -> Link:
+        """Returns a link to a cached item if it exists, otherwise returns the
+        passed link.
+        """
+        raise NotImplementedError()
+
+
+class SimpleWheelCache(Cache):
+    """A cache of wheels for future installs."""
+
+    def __init__(self, cache_dir: str) -> None:
+        super().__init__(cache_dir)
+
+    def get_path_for_link(self, link: Link) -> str:
+        """Return a directory to store cached wheels for link
+
+        Because there are M wheels for any one sdist, we provide a directory
+        to cache them in, and then consult that directory when looking up
+        cache hits.
+
+        We only insert things into the cache if they have plausible version
+        numbers, so that we don't contaminate the cache with things that were
+        not unique. E.g. ./package might have dozens of installs done for it
+        and build a version of 0.0...and if we built and cached a wheel, we'd
+        end up using the same wheel even if the source has been edited.
+
+        :param link: The link of the sdist for which this will cache wheels.
+        """
+        parts = self._get_cache_path_parts(link)
+        assert self.cache_dir
+        # Store wheels within the root cache_dir
+        return os.path.join(self.cache_dir, "wheels", *parts)
+
+    def get(
+        self,
+        link: Link,
+        package_name: str | None,
+        supported_tags: list[Tag],
+    ) -> Link:
+        candidates = []
+
+        if link.is_existing_dir():
+            return link
+        if not package_name:
+            return link
+
+        canonical_package_name = canonicalize_name(package_name)
+        supported_tags_set = set(supported_tags)
+        for wheel_name, wheel_dir in self._get_candidates(link, canonical_package_name):
+            try:
+                wheel = Wheel(wheel_name)
+            except InvalidWheelFilename:
+                continue
+            if wheel.name != canonical_package_name:
+                logger.debug(
+                    "Ignoring cached wheel %s for %s as it "
+                    "does not match the expected distribution name %s.",
+                    wheel_name,
+                    link,
+                    package_name,
+                )
+                continue
+            if not wheel.supported(supported_tags_set):
+                # Built for a different python/arch/etc
+                continue
+            candidates.append(
+                (
+                    wheel.support_index_min(supported_tags),
+                    wheel_name,
+                    wheel_dir,
+                )
+            )
+
+        if not candidates:
+            return link
+
+        _, wheel_name, wheel_dir = min(candidates)
+        return Link(path_to_url(os.path.join(wheel_dir, wheel_name)))
+
+
+class EphemWheelCache(SimpleWheelCache):
+    """A SimpleWheelCache that creates it's own temporary cache directory"""
+
+    def __init__(self) -> None:
+        self._temp_dir = TempDirectory(
+            kind=tempdir_kinds.EPHEM_WHEEL_CACHE,
+            globally_managed=True,
+        )
+
+        super().__init__(self._temp_dir.path)
+
+
+class CacheEntry:
+    def __init__(
+        self,
+        link: Link,
+        persistent: bool,
+    ):
+        self.link = link
+        self.persistent = persistent
+        self.origin: DirectUrl | None = None
+        origin_direct_url_path = Path(self.link.file_path).parent / ORIGIN_JSON_NAME
+        if origin_direct_url_path.exists():
+            try:
+                self.origin = DirectUrl.from_json(
+                    origin_direct_url_path.read_text(encoding="utf-8")
+                )
+            except Exception as e:
+                logger.warning(
+                    "Ignoring invalid cache entry origin file %s for %s (%s)",
+                    origin_direct_url_path,
+                    link.filename,
+                    e,
+                )
+
+
+class WheelCache(Cache):
+    """Wraps EphemWheelCache and SimpleWheelCache into a single Cache
+
+    This Cache allows for gracefully degradation, using the ephem wheel cache
+    when a certain link is not found in the simple wheel cache first.
+    """
+
+    def __init__(self, cache_dir: str) -> None:
+        super().__init__(cache_dir)
+        self._wheel_cache = SimpleWheelCache(cache_dir)
+        self._ephem_cache = EphemWheelCache()
+
+    def get_path_for_link(self, link: Link) -> str:
+        return self._wheel_cache.get_path_for_link(link)
+
+    def get_ephem_path_for_link(self, link: Link) -> str:
+        return self._ephem_cache.get_path_for_link(link)
+
+    def get(
+        self,
+        link: Link,
+        package_name: str | None,
+        supported_tags: list[Tag],
+    ) -> Link:
+        cache_entry = self.get_cache_entry(link, package_name, supported_tags)
+        if cache_entry is None:
+            return link
+        return cache_entry.link
+
+    def get_cache_entry(
+        self,
+        link: Link,
+        package_name: str | None,
+        supported_tags: list[Tag],
+    ) -> CacheEntry | None:
+        """Returns a CacheEntry with a link to a cached item if it exists or
+        None. The cache entry indicates if the item was found in the persistent
+        or ephemeral cache.
+        """
+        retval = self._wheel_cache.get(
+            link=link,
+            package_name=package_name,
+            supported_tags=supported_tags,
+        )
+        if retval is not link:
+            return CacheEntry(retval, persistent=True)
+
+        retval = self._ephem_cache.get(
+            link=link,
+            package_name=package_name,
+            supported_tags=supported_tags,
+        )
+        if retval is not link:
+            return CacheEntry(retval, persistent=False)
+
+        return None
+
+    @staticmethod
+    def record_download_origin(cache_dir: str, download_info: DirectUrl) -> None:
+        origin_path = Path(cache_dir) / ORIGIN_JSON_NAME
+        if origin_path.exists():
+            try:
+                origin = DirectUrl.from_json(origin_path.read_text(encoding="utf-8"))
+            except Exception as e:
+                logger.warning(
+                    "Could not read origin file %s in cache entry (%s). "
+                    "Will attempt to overwrite it.",
+                    origin_path,
+                    e,
+                )
+            else:
+                # TODO: use DirectUrl.equivalent when
+                # https://github.com/pypa/pip/pull/10564 is merged.
+                if origin.url != download_info.url:
+                    logger.warning(
+                        "Origin URL %s in cache entry %s does not match download URL "
+                        "%s. This is likely a pip bug or a cache corruption issue. "
+                        "Will overwrite it with the new value.",
+                        origin.url,
+                        cache_dir,
+                        download_info.url,
+                    )
+        origin_path.write_text(download_info.to_json(), encoding="utf-8")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..5fcddf5d81ed444b20b22344fe8bdecd1ebe055c
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/__init__.py
@@ -0,0 +1,3 @@
+"""Subpackage containing all of pip's command line interface related code"""
+
+# This file intentionally does not import submodules
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/autocompletion.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/autocompletion.py
new file mode 100644
index 0000000000000000000000000000000000000000..4da020a3b80883bbafb65bc8e6ee84987cbddcb9
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/autocompletion.py
@@ -0,0 +1,187 @@
+"""Logic that powers autocompletion installed by ``pip completion``."""
+
+from __future__ import annotations
+
+import optparse
+import os
+import sys
+from collections.abc import Iterable
+from itertools import chain
+from typing import Any
+
+from pip._internal.cli.main_parser import create_main_parser
+from pip._internal.commands import commands_dict, create_command
+
+
+def autocomplete() -> None:
+    """Entry Point for completion of main and subcommand options."""
+    # Don't complete if user hasn't sourced bash_completion file.
+    if "PIP_AUTO_COMPLETE" not in os.environ:
+        return
+    # Don't complete if autocompletion environment variables
+    # are not present
+    if not os.environ.get("COMP_WORDS") or not os.environ.get("COMP_CWORD"):
+        return
+    cwords = os.environ["COMP_WORDS"].split()[1:]
+    cword = int(os.environ["COMP_CWORD"])
+    try:
+        current = cwords[cword - 1]
+    except IndexError:
+        current = ""
+
+    parser = create_main_parser()
+    subcommands = list(commands_dict)
+    options = []
+
+    # subcommand
+    subcommand_name: str | None = None
+    for word in cwords:
+        if word in subcommands:
+            subcommand_name = word
+            break
+    # subcommand options
+    if subcommand_name is not None:
+        # special case: 'help' subcommand has no options
+        if subcommand_name == "help":
+            sys.exit(1)
+        # special case: list locally installed dists for show and uninstall
+        should_list_installed = not current.startswith("-") and subcommand_name in [
+            "show",
+            "uninstall",
+        ]
+        if should_list_installed:
+            # NOTE: this import is deferred until absolutely necessary as it's slow,
+            # and it's important that autocompletion is fast.
+            from pip._internal.metadata import get_default_environment
+
+            env = get_default_environment()
+            lc = current.lower()
+            installed = [
+                dist.canonical_name
+                for dist in env.iter_installed_distributions(local_only=True)
+                if dist.canonical_name.startswith(lc)
+                and dist.canonical_name not in cwords[1:]
+            ]
+            # if there are no dists installed, fall back to option completion
+            if installed:
+                for dist in installed:
+                    print(dist)
+                sys.exit(1)
+
+        should_list_installables = (
+            not current.startswith("-") and subcommand_name == "install"
+        )
+        if should_list_installables:
+            for path in auto_complete_paths(current, "path"):
+                print(path)
+            sys.exit(1)
+
+        subcommand = create_command(subcommand_name)
+
+        for opt in subcommand.parser.option_list_all:
+            if opt.help != optparse.SUPPRESS_HELP:
+                options += [
+                    (opt_str, opt.nargs) for opt_str in opt._long_opts + opt._short_opts
+                ]
+
+        # filter out previously specified options from available options
+        prev_opts = [x.split("=")[0] for x in cwords[1 : cword - 1]]
+        options = [(x, v) for (x, v) in options if x not in prev_opts]
+        # filter options by current input
+        options = [(k, v) for k, v in options if k.startswith(current)]
+        # get completion type given cwords and available subcommand options
+        completion_type = get_path_completion_type(
+            cwords,
+            cword,
+            subcommand.parser.option_list_all,
+        )
+        # get completion files and directories if ``completion_type`` is
+        # ````, ```` or ````
+        if completion_type:
+            paths = auto_complete_paths(current, completion_type)
+            options = [(path, 0) for path in paths]
+        for option in options:
+            opt_label = option[0]
+            # append '=' to options which require args
+            if option[1] and option[0][:2] == "--":
+                opt_label += "="
+            print(opt_label)
+
+        # Complete sub-commands (unless one is already given).
+        if not any(name in cwords for name in subcommand.handler_map()):
+            for handler_name in subcommand.handler_map():
+                if handler_name.startswith(current):
+                    print(handler_name)
+    else:
+        # show main parser options only when necessary
+
+        opts = [i.option_list for i in parser.option_groups]
+        opts.append(parser.option_list)
+        flattened_opts = chain.from_iterable(opts)
+        if current.startswith("-"):
+            for opt in flattened_opts:
+                if opt.help != optparse.SUPPRESS_HELP:
+                    subcommands += opt._long_opts + opt._short_opts
+        else:
+            # get completion type given cwords and all available options
+            completion_type = get_path_completion_type(cwords, cword, flattened_opts)
+            if completion_type:
+                subcommands = list(auto_complete_paths(current, completion_type))
+
+        print(" ".join([x for x in subcommands if x.startswith(current)]))
+    sys.exit(1)
+
+
+def get_path_completion_type(
+    cwords: list[str], cword: int, opts: Iterable[Any]
+) -> str | None:
+    """Get the type of path completion (``file``, ``dir``, ``path`` or None)
+
+    :param cwords: same as the environmental variable ``COMP_WORDS``
+    :param cword: same as the environmental variable ``COMP_CWORD``
+    :param opts: The available options to check
+    :return: path completion type (``file``, ``dir``, ``path`` or None)
+    """
+    if cword < 2 or not cwords[cword - 2].startswith("-"):
+        return None
+    for opt in opts:
+        if opt.help == optparse.SUPPRESS_HELP:
+            continue
+        for o in str(opt).split("/"):
+            if cwords[cword - 2].split("=")[0] == o:
+                if not opt.metavar or any(
+                    x in ("path", "file", "dir") for x in opt.metavar.split("/")
+                ):
+                    return opt.metavar
+    return None
+
+
+def auto_complete_paths(current: str, completion_type: str) -> Iterable[str]:
+    """If ``completion_type`` is ``file`` or ``path``, list all regular files
+    and directories starting with ``current``; otherwise only list directories
+    starting with ``current``.
+
+    :param current: The word to be completed
+    :param completion_type: path completion type(``file``, ``path`` or ``dir``)
+    :return: A generator of regular files and/or directories
+    """
+    directory, filename = os.path.split(current)
+    current_path = os.path.abspath(directory)
+    # Don't complete paths if they can't be accessed
+    if not os.access(current_path, os.R_OK):
+        return
+    filename = os.path.normcase(filename)
+    # list all files that start with ``filename``
+    file_list = (
+        x for x in os.listdir(current_path) if os.path.normcase(x).startswith(filename)
+    )
+    for f in file_list:
+        opt = os.path.join(current_path, f)
+        comp_file = os.path.normcase(os.path.join(directory, f))
+        # complete regular files when there is not ```` after option
+        # complete directories when there is ````, ```` or
+        # ````after option
+        if completion_type != "dir" and os.path.isfile(opt):
+            yield comp_file
+        elif os.path.isdir(opt):
+            yield os.path.join(comp_file, "")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/base_command.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/base_command.py
new file mode 100644
index 0000000000000000000000000000000000000000..d74d192604fa3067b356320b588421a52607a55c
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/base_command.py
@@ -0,0 +1,261 @@
+"""Base Command class, and related routines"""
+
+from __future__ import annotations
+
+import contextlib
+import logging
+import logging.config
+import optparse
+import os
+import sys
+import traceback
+from collections.abc import Callable, Iterator
+from optparse import Values
+
+from pip._vendor.rich import reconfigure
+from pip._vendor.rich import traceback as rich_traceback
+
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.command_context import CommandContextMixIn
+from pip._internal.cli.parser import ConfigOptionParser, UpdatingDefaultsHelpFormatter
+from pip._internal.cli.status_codes import (
+    BROKEN_STDOUT,
+    ERROR,
+    PREVIOUS_BUILD_DIR_ERROR,
+    UNKNOWN_ERROR,
+    VIRTUALENV_NOT_FOUND,
+)
+from pip._internal.exceptions import (
+    BadCommand,
+    CommandError,
+    DiagnosticPipError,
+    InstallationError,
+    NetworkConnectionError,
+    PreviousBuildDirError,
+)
+from pip._internal.utils.filesystem import check_path_owner
+from pip._internal.utils.logging import BrokenStdoutLoggingError, setup_logging
+from pip._internal.utils.misc import get_prog, normalize_path
+from pip._internal.utils.temp_dir import TempDirectoryTypeRegistry as TempDirRegistry
+from pip._internal.utils.temp_dir import global_tempdir_manager, tempdir_registry
+from pip._internal.utils.virtualenv import running_under_virtualenv
+
+__all__ = ["Command"]
+
+logger = logging.getLogger(__name__)
+
+
+class Command(CommandContextMixIn):
+    usage: str = ""
+    ignore_require_venv: bool = False
+
+    def __init__(self, name: str, summary: str, isolated: bool = False) -> None:
+        super().__init__()
+
+        self.name = name
+        self.summary = summary
+        self.parser = ConfigOptionParser(
+            usage=self.usage,
+            prog=f"{get_prog()} {name}",
+            formatter=UpdatingDefaultsHelpFormatter(),
+            add_help_option=False,
+            name=name,
+            description=self.__doc__,
+            isolated=isolated,
+        )
+
+        self.tempdir_registry: TempDirRegistry | None = None
+
+        # Commands should add options to this option group
+        optgroup_name = f"{self.name.capitalize()} Options"
+        self.cmd_opts = optparse.OptionGroup(self.parser, optgroup_name)
+
+        # Add the general options
+        gen_opts = cmdoptions.make_option_group(
+            cmdoptions.general_group,
+            self.parser,
+        )
+        self.parser.add_option_group(gen_opts)
+
+        self.add_options()
+
+    def add_options(self) -> None:
+        pass
+
+    @contextlib.contextmanager
+    def pip_version_check(self, options: Values, args: list[str]) -> Iterator[None]:
+        """
+        This is a no-op so that commands by default do not do the pip version
+        check.
+        """
+        # Make sure we do the pip version check if the index_group options
+        # are present.
+        assert not hasattr(options, "no_index")
+        yield
+
+    def run(self, options: Values, args: list[str]) -> int:
+        raise NotImplementedError
+
+    def _run_wrapper(self, level_number: int, options: Values, args: list[str]) -> int:
+        def _inner_run() -> int:
+            with self.pip_version_check(options, args):
+                return self.run(options, args)
+
+        if options.debug_mode:
+            rich_traceback.install(show_locals=True)
+            return _inner_run()
+
+        try:
+            status = _inner_run()
+            assert isinstance(status, int)
+            return status
+        except DiagnosticPipError as exc:
+            logger.error("%s", exc, extra={"rich": True})
+            logger.debug("Exception information:", exc_info=True)
+
+            return ERROR
+        except PreviousBuildDirError as exc:
+            logger.critical(str(exc))
+            logger.debug("Exception information:", exc_info=True)
+
+            return PREVIOUS_BUILD_DIR_ERROR
+        except (
+            InstallationError,
+            BadCommand,
+            NetworkConnectionError,
+        ) as exc:
+            logger.critical(str(exc))
+            logger.debug("Exception information:", exc_info=True)
+
+            return ERROR
+        except CommandError as exc:
+            logger.critical("%s", exc)
+            logger.debug("Exception information:", exc_info=True)
+
+            return ERROR
+        except BrokenStdoutLoggingError:
+            # stdout is broken; write to stderr directly. Use os.write, not
+            # sys.stderr.write, so a full pipe buffer returns EPIPE instead
+            # of deadlocking (Windows anonymous pipes are ~4KB).
+            try:
+                os.write(2, b"ERROR: Pipe to stdout was broken\n")
+                if level_number <= logging.DEBUG:
+                    encoding = getattr(sys.stderr, "encoding", None) or "utf-8"
+                    os.write(
+                        2, traceback.format_exc().encode(encoding, "backslashreplace")
+                    )
+            except OSError:
+                pass
+
+            # redirect stdout to os.devnull so that the exit cleanup doesn't
+            # produce "BrokenPipeError" when exiting.
+            devnull = os.open(os.devnull, os.O_WRONLY)
+            try:
+                os.dup2(devnull, 1)
+            finally:
+                os.close(devnull)
+
+            return BROKEN_STDOUT
+        except KeyboardInterrupt:
+            logger.critical("Operation cancelled by user")
+            logger.debug("Exception information:", exc_info=True)
+
+            return ERROR
+        except BaseException:
+            logger.critical("Exception:", exc_info=True)
+
+            return UNKNOWN_ERROR
+
+    def parse_args(self, args: list[str]) -> tuple[Values, list[str]]:
+        # factored out for testability
+        return self.parser.parse_args(args)
+
+    def main(self, args: list[str]) -> int:
+        try:
+            with self.main_context():
+                return self._main(args)
+        finally:
+            logging.shutdown()
+
+    def _main(self, args: list[str]) -> int:
+        # We must initialize this before the tempdir manager, otherwise the
+        # configuration would not be accessible by the time we clean up the
+        # tempdir manager.
+        self.tempdir_registry = self.enter_context(tempdir_registry())
+        # Intentionally set as early as possible so globally-managed temporary
+        # directories are available to the rest of the code.
+        self.enter_context(global_tempdir_manager())
+
+        options, args = self.parse_args(args)
+
+        # Set verbosity so that it can be used elsewhere.
+        self.verbosity = options.verbose - options.quiet
+        if options.debug_mode:
+            self.verbosity = 2
+
+        if hasattr(options, "progress_bar") and options.progress_bar == "auto":
+            options.progress_bar = "on" if self.verbosity >= 0 else "off"
+
+        reconfigure(no_color=options.no_color)
+        level_number = setup_logging(
+            verbosity=self.verbosity,
+            no_color=options.no_color,
+            user_log_file=options.log,
+        )
+
+        always_enabled_features = set(options.features_enabled) & set(
+            cmdoptions.ALWAYS_ENABLED_FEATURES
+        )
+        if always_enabled_features:
+            logger.warning(
+                "The following features are always enabled: %s. ",
+                ", ".join(sorted(always_enabled_features)),
+            )
+
+        # Make sure that the --python argument isn't specified after the
+        # subcommand. We can tell, because if --python was specified,
+        # we should only reach this point if we're running in the created
+        # subprocess, which has the _PIP_RUNNING_IN_SUBPROCESS environment
+        # variable set.
+        if options.python and "_PIP_RUNNING_IN_SUBPROCESS" not in os.environ:
+            logger.critical(
+                "The --python option must be placed before the pip subcommand name"
+            )
+            sys.exit(ERROR)
+
+        # TODO: Try to get these passing down from the command?
+        #       without resorting to os.environ to hold these.
+        #       This also affects isolated builds and it should.
+
+        if options.no_input:
+            os.environ["PIP_NO_INPUT"] = "1"
+
+        if options.exists_action:
+            os.environ["PIP_EXISTS_ACTION"] = " ".join(options.exists_action)
+
+        if options.require_venv and not self.ignore_require_venv:
+            # If a venv is required check if it can really be found
+            if not running_under_virtualenv():
+                logger.critical("Could not find an activated virtualenv (required).")
+                sys.exit(VIRTUALENV_NOT_FOUND)
+
+        if options.cache_dir:
+            options.cache_dir = normalize_path(options.cache_dir)
+            if not check_path_owner(options.cache_dir):
+                logger.warning(
+                    "The directory '%s' or its parent directory is not owned "
+                    "or is not writable by the current user. The cache "
+                    "has been disabled. Check the permissions and owner of "
+                    "that directory. If executing pip with sudo, you should "
+                    "use sudo's -H flag.",
+                    options.cache_dir,
+                )
+                options.cache_dir = None
+
+        return self._run_wrapper(level_number, options, args)
+
+    def handler_map(self) -> dict[str, Callable[[Values, list[str]], None]]:
+        """
+        map of names to handler actions for commands with sub-actions
+        """
+        return {}
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/cmdoptions.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/cmdoptions.py
new file mode 100644
index 0000000000000000000000000000000000000000..2b99c79c71750fa869e0c0bd085f1e97582e4153
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/cmdoptions.py
@@ -0,0 +1,1409 @@
+"""
+shared options and groups
+
+The principle here is to define options once, but *not* instantiate them
+globally. One reason being that options with action='append' can carry state
+between parses. pip parses general options twice internally, and shouldn't
+pass on state. To be consistent, all options will follow this design.
+"""
+
+# The following comment should be removed at some point in the future.
+# mypy: strict-optional=False
+from __future__ import annotations
+
+import logging
+import os
+import pathlib
+import re
+import textwrap
+from collections.abc import Callable
+from datetime import datetime, timedelta, timezone
+from functools import partial
+from optparse import SUPPRESS_HELP, Option, OptionGroup, OptionParser, Values
+from textwrap import dedent
+from typing import Any
+
+from pip._vendor.packaging.utils import canonicalize_name
+
+from pip._internal.cli.parser import ConfigOptionParser
+from pip._internal.exceptions import CommandError
+from pip._internal.locations import USER_CACHE_DIR, get_src_prefix
+from pip._internal.models.format_control import FormatControl
+from pip._internal.models.index import PyPI
+from pip._internal.models.release_control import ReleaseControl
+from pip._internal.models.target_python import TargetPython
+from pip._internal.utils.datetime import parse_iso_datetime
+from pip._internal.utils.hashes import STRONG_HASHES
+from pip._internal.utils.misc import strtobool
+
+logger = logging.getLogger(__name__)
+
+
+def raise_option_error(parser: OptionParser, option: Option, msg: str) -> None:
+    """
+    Raise an option parsing error using parser.error().
+
+    Args:
+      parser: an OptionParser instance.
+      option: an Option instance.
+      msg: the error text.
+    """
+    msg = f"{option} error: {msg}"
+    msg = textwrap.fill(" ".join(msg.split()))
+    parser.error(msg)
+
+
+def make_option_group(group: dict[str, Any], parser: ConfigOptionParser) -> OptionGroup:
+    """
+    Return an OptionGroup object
+    group  -- assumed to be dict with 'name' and 'options' keys
+    parser -- an optparse Parser
+    """
+    option_group = OptionGroup(parser, group["name"])
+    for option in group["options"]:
+        option_group.add_option(option())
+    return option_group
+
+
+def check_only_deps_option_does_not_conflict(options: Values) -> None:
+    """Function for determining if --only-deps and other incompatible options are
+    specified.
+
+    :param options: The OptionParser options.
+    """
+    if not options.only_dependencies:
+        return
+    conflicts = []
+    if options.ignore_dependencies:
+        conflicts.append("'--no-deps'")
+    if "legacy-resolver" in options.deprecated_features_enabled:
+        conflicts.append("'--use-deprecated legacy-resolver'")
+    if options.requirements:
+        conflicts.append("'--requirement'")
+    if options.requirements_from_scripts:
+        conflicts.append("'--requirements-from-script'")
+    if options.dependency_groups:
+        conflicts.append("'--group'")
+    if conflicts:
+        if len(conflicts) > 1:
+            conflicts[-1] = "or " + conflicts[-1]
+        conflict_message = ", ".join(conflicts)
+        raise CommandError(
+            f"Cannot use '--only-dependencies' in combination with {conflict_message}. "
+            "If this is unexpected, please refer to the user guide:\n"
+            "\n"
+            "    https://pip.pypa.io/en/stable/user_guide/#installing-only-dependencies"
+        )
+
+
+def check_dist_restriction(options: Values, check_target: bool = False) -> None:
+    """Function for determining if custom platform options are allowed.
+
+    :param options: The OptionParser options.
+    :param check_target: Whether or not to check if --target is being used.
+    """
+    dist_restriction_set = any(
+        [
+            options.python_version,
+            options.platforms,
+            options.abis,
+            options.implementation,
+        ]
+    )
+
+    binary_only = FormatControl(set(), {":all:"})
+    sdist_dependencies_allowed = (
+        options.format_control != binary_only and not options.ignore_dependencies
+    )
+
+    # Installations or downloads using dist restrictions must not combine
+    # source distributions and dist-specific wheels, as they are not
+    # guaranteed to be locally compatible.
+    if dist_restriction_set and sdist_dependencies_allowed:
+        raise CommandError(
+            "When restricting platform and interpreter constraints using "
+            "--python-version, --platform, --abi, or --implementation, "
+            "either --no-deps must be set, or --only-binary=:all: must be "
+            "set and --no-binary must not be set (or must be set to "
+            ":none:)."
+        )
+
+    if check_target:
+        if not options.dry_run and dist_restriction_set and not options.target_dir:
+            raise CommandError(
+                "Can not use any platform or abi specific options unless "
+                "installing via '--target' or using '--dry-run'"
+            )
+
+    if dist_restriction_set:
+        # Lazy import to keep CLI startup fast
+        from pip._internal.utils import pylock as pylock_utils
+
+        for filename in options.requirements:
+            if pylock_utils.is_valid_pylock_filename(filename):
+                raise CommandError(
+                    "Platform and interpreter constraints using "
+                    "--python-version, --platform, --abi, or --implementation, "
+                    f"are not supported when selecting requirements from {filename!r}"
+                )
+
+
+def check_build_constraints(options: Values) -> None:
+    """Function for validating build constraints options.
+
+    :param options: The OptionParser options.
+    """
+    if hasattr(options, "build_constraints") and options.build_constraints:
+        if not options.build_isolation:
+            raise CommandError(
+                "--build-constraint cannot be used with --no-build-isolation."
+            )
+
+        # Import here to avoid circular imports
+        from pip._internal.network.session import PipSession
+        from pip._internal.req.req_file import get_file_content
+
+        # Eagerly check build constraints file contents
+        # is valid so that we don't fail in when trying
+        # to check constraints in isolated build process
+        with PipSession() as session:
+            for constraint_file in options.build_constraints:
+                get_file_content(constraint_file, session)
+
+
+def _path_option_check(option: Option, opt: str, value: str) -> str:
+    return os.path.expanduser(value)
+
+
+def _package_name_option_check(option: Option, opt: str, value: str) -> str:
+    return canonicalize_name(value)
+
+
+class PipOption(Option):
+    TYPES = Option.TYPES + ("path", "package_name")
+    TYPE_CHECKER = Option.TYPE_CHECKER.copy()
+    TYPE_CHECKER["package_name"] = _package_name_option_check
+    TYPE_CHECKER["path"] = _path_option_check
+
+
+###########
+# options #
+###########
+
+help_: Callable[..., Option] = partial(
+    Option,
+    "-h",
+    "--help",
+    dest="help",
+    action="help",
+    help="Show help.",
+)
+
+debug_mode: Callable[..., Option] = partial(
+    Option,
+    "--debug",
+    dest="debug_mode",
+    action="store_true",
+    default=False,
+    help=(
+        "Let unhandled exceptions propagate outside the main subroutine, "
+        "instead of logging them to stderr."
+    ),
+)
+
+isolated_mode: Callable[..., Option] = partial(
+    Option,
+    "--isolated",
+    dest="isolated_mode",
+    action="store_true",
+    default=False,
+    help=(
+        "Run pip in an isolated mode, ignoring environment variables and user "
+        "configuration."
+    ),
+)
+
+require_virtualenv: Callable[..., Option] = partial(
+    Option,
+    "--require-virtualenv",
+    "--require-venv",
+    dest="require_venv",
+    action="store_true",
+    default=False,
+    help=(
+        "Allow pip to only run in a virtual environment; exit with an error otherwise."
+    ),
+)
+
+override_externally_managed: Callable[..., Option] = partial(
+    Option,
+    "--break-system-packages",
+    dest="override_externally_managed",
+    action="store_true",
+    help="Allow pip to modify an EXTERNALLY-MANAGED Python installation",
+)
+
+python: Callable[..., Option] = partial(
+    Option,
+    "--python",
+    dest="python",
+    help="Run pip with the specified Python interpreter.",
+)
+
+verbose: Callable[..., Option] = partial(
+    Option,
+    "-v",
+    "--verbose",
+    dest="verbose",
+    action="count",
+    default=0,
+    help="Give more output. Option is additive, and can be used up to 3 times.",
+)
+
+no_color: Callable[..., Option] = partial(
+    Option,
+    "--no-color",
+    dest="no_color",
+    action="store_true",
+    default=False,
+    help="Suppress colored output.",
+)
+
+version: Callable[..., Option] = partial(
+    Option,
+    "-V",
+    "--version",
+    dest="version",
+    action="store_true",
+    help="Show version and exit.",
+)
+
+quiet: Callable[..., Option] = partial(
+    Option,
+    "-q",
+    "--quiet",
+    dest="quiet",
+    action="count",
+    default=0,
+    help=(
+        "Give less output. Option is additive, and can be used up to 3"
+        " times (corresponding to WARNING, ERROR, and CRITICAL logging"
+        " levels)."
+    ),
+)
+
+progress_bar: Callable[..., Option] = partial(
+    Option,
+    "--progress-bar",
+    dest="progress_bar",
+    type="choice",
+    choices=["auto", "on", "off", "raw"],
+    default="auto",
+    help=(
+        "Specify whether the progress bar should be used. In 'auto'"
+        " mode, --quiet will suppress all progress bars."
+        " [auto, on, off, raw] (default: auto)"
+    ),
+)
+
+log: Callable[..., Option] = partial(
+    PipOption,
+    "--log",
+    "--log-file",
+    "--local-log",
+    dest="log",
+    metavar="path",
+    type="path",
+    help="Path to a verbose appending log.",
+)
+
+no_input: Callable[..., Option] = partial(
+    Option,
+    # Don't ask for input
+    "--no-input",
+    dest="no_input",
+    action="store_true",
+    default=False,
+    help="Disable prompting for input.",
+)
+
+keyring_provider: Callable[..., Option] = partial(
+    Option,
+    "--keyring-provider",
+    dest="keyring_provider",
+    choices=["auto", "disabled", "import", "subprocess"],
+    default="auto",
+    help=(
+        "Enable the credential lookup via the keyring library if user input is allowed."
+        " Specify which mechanism to use [auto, disabled, import, subprocess]."
+        " (default: %default)"
+    ),
+)
+
+proxy: Callable[..., Option] = partial(
+    Option,
+    "--proxy",
+    dest="proxy",
+    type="str",
+    default=None,
+    help="Specify a proxy in the form scheme://[user:passwd@]proxy.server:port.",
+)
+
+no_proxy_env: Callable[..., Option] = partial(
+    Option,
+    "--no-proxy-env",
+    dest="no_proxy_env",
+    action="store_true",
+    default=False,
+    help="Do not read proxy configuration from environment variables.",
+)
+
+retries: Callable[..., Option] = partial(
+    Option,
+    "--retries",
+    dest="retries",
+    type="int",
+    default=5,
+    help="Maximum attempts to establish a new HTTP connection. (default: %default)",
+)
+
+resume_retries: Callable[..., Option] = partial(
+    Option,
+    "--resume-retries",
+    dest="resume_retries",
+    type="int",
+    default=5,
+    help="Maximum attempts to resume or restart an incomplete download. "
+    "(default: %default)",
+)
+
+timeout: Callable[..., Option] = partial(
+    Option,
+    "--timeout",
+    "--default-timeout",
+    metavar="sec",
+    dest="timeout",
+    type="float",
+    default=15,
+    help="Set the socket timeout (default %default seconds).",
+)
+
+
+def exists_action() -> Option:
+    return Option(
+        # Option when path already exist
+        "--exists-action",
+        dest="exists_action",
+        type="choice",
+        choices=["s", "i", "w", "b", "a"],
+        default=[],
+        action="append",
+        metavar="action",
+        help="Default action when a path already exists: "
+        "(s)witch, (i)gnore, (w)ipe, (b)ackup, (a)bort.",
+    )
+
+
+cert: Callable[..., Option] = partial(
+    PipOption,
+    "--cert",
+    dest="cert",
+    type="path",
+    metavar="path",
+    help=(
+        "Path to PEM-encoded CA certificate bundle. "
+        "If provided, overrides the default. "
+        "See 'SSL Certificate Verification' in pip documentation "
+        "for more information."
+    ),
+)
+
+client_cert: Callable[..., Option] = partial(
+    PipOption,
+    "--client-cert",
+    dest="client_cert",
+    type="path",
+    default=None,
+    metavar="path",
+    help="Path to SSL client certificate, a single file containing the "
+    "private key and the certificate in PEM format.",
+)
+
+index_url: Callable[..., Option] = partial(
+    Option,
+    "-i",
+    "--index-url",
+    "--pypi-url",
+    dest="index_url",
+    metavar="URL",
+    default=PyPI.simple_url,
+    help="Base URL of the Python Package Index (default %default). "
+    "This should point to a repository compliant with PEP 503 "
+    "(the simple repository API) or a local directory laid out "
+    "in the same format.",
+)
+
+
+def extra_index_url() -> Option:
+    return Option(
+        "--extra-index-url",
+        dest="extra_index_urls",
+        metavar="URL",
+        action="append",
+        default=[],
+        help="Extra URLs of package indexes to use in addition to "
+        "--index-url. Should follow the same rules as "
+        "--index-url.",
+    )
+
+
+no_index: Callable[..., Option] = partial(
+    Option,
+    "--no-index",
+    dest="no_index",
+    action="store_true",
+    default=False,
+    help="Ignore package index (only looking at --find-links URLs instead).",
+)
+
+
+def find_links() -> Option:
+    return Option(
+        "-f",
+        "--find-links",
+        dest="find_links",
+        action="append",
+        default=[],
+        metavar="url",
+        help="If a URL or path to an html file, then parse for links to "
+        "archives such as sdist (.tar.gz) or wheel (.whl) files. "
+        "If a local path or file:// URL that's a directory, "
+        "then look for archives in the directory listing. "
+        "Links to VCS project URLs are not supported.",
+    )
+
+
+def _handle_uploaded_prior_to(
+    option: Option, opt: str, value: str, parser: OptionParser
+) -> None:
+    """
+    This is an optparse.Option callback for the --uploaded-prior-to option.
+
+    Accepts either an ISO 8601 datetime string (e.g., '2023-01-01T00:00:00Z')
+    or a strict subset of ISO 8601 durations: PnD where n is a number of days
+    (e.g., 'P7D' for 7 days ago).
+
+    Note: This option only works with indexes that provide upload-time metadata
+    as specified in the simple repository API:
+    https://packaging.python.org/en/latest/specifications/simple-repository-api/
+    """
+    if value is None:
+        return None
+
+    # Try ISO 8601 duration in PnD format. The leading 'P' disambiguates
+    # from absolute datetimes. Only whole days are supported; the format may
+    # be extended to more of the ISO 8601 duration syntax in the future if
+    # a real need is presented.
+    match = re.match(r"^P(\d+)D$", value, re.ASCII)
+    if match:
+        days = int(match.group(1))
+        parser.values.uploaded_prior_to = datetime.now(timezone.utc) - timedelta(
+            days=days
+        )
+        return
+
+    try:
+        uploaded_prior_to = parse_iso_datetime(value)
+        # Use local timezone if no offset is given in the ISO string.
+        if uploaded_prior_to.tzinfo is None:
+            uploaded_prior_to = uploaded_prior_to.astimezone()
+        parser.values.uploaded_prior_to = uploaded_prior_to
+    except ValueError as exc:
+        msg = (
+            f"invalid value: {value!r}: {exc}. "
+            f"Expected an ISO 8601 datetime string "
+            f"(e.g., '2023-01-01' or '2023-01-01T00:00:00Z') "
+            f"or a duration in days (e.g., 'P3D')"
+        )
+        raise_option_error(parser, option=option, msg=msg)
+
+
+def uploaded_prior_to() -> Option:
+    return Option(
+        "--uploaded-prior-to",
+        dest="uploaded_prior_to",
+        metavar="datetime_or_duration",
+        action="callback",
+        callback=_handle_uploaded_prior_to,
+        type="str",
+        help=(
+            "Only consider packages uploaded prior to the given value. "
+            "Accepts an ISO 8601 datetime (e.g., '2023-01-01T00:00:00Z', "
+            "uses local timezone if none specified) or a duration in days "
+            "(e.g., 'P3D' for packages uploaded at least 3 days ago). "
+            "Only effective when using indexes that provide "
+            "upload-time metadata."
+        ),
+    )
+
+
+def trusted_host() -> Option:
+    return Option(
+        "--trusted-host",
+        dest="trusted_hosts",
+        action="append",
+        metavar="HOSTNAME",
+        default=[],
+        help="Mark this host or host:port pair as trusted, even though it "
+        "does not have valid or any HTTPS.",
+    )
+
+
+def constraints() -> Option:
+    return Option(
+        "-c",
+        "--constraint",
+        dest="constraints",
+        action="append",
+        default=[],
+        metavar="file",
+        help="Constrain versions using the given constraints file. "
+        "This option can be used multiple times.",
+    )
+
+
+def build_constraints() -> Option:
+    return Option(
+        "--build-constraint",
+        dest="build_constraints",
+        action="append",
+        type="str",
+        default=[],
+        metavar="file",
+        help=(
+            "Constrain build dependencies using the given constraints file. "
+            "This option can be used multiple times."
+        ),
+    )
+
+
+def requirements() -> Option:
+    return Option(
+        "-r",
+        "--requirement",
+        dest="requirements",
+        action="append",
+        default=[],
+        metavar="file",
+        help=(
+            "Install from the given requirements file. "
+            "The file or URL can be in pip's requirements.txt format, "
+            "or pylock.toml format. pylock.toml support is experimental. "
+            "This option can be used multiple times."
+        ),
+    )
+
+
+def requirements_from_scripts() -> Option:
+    return Option(
+        "--requirements-from-script",
+        action="append",
+        default=[],
+        dest="requirements_from_scripts",
+        metavar="file",
+        help="Install dependencies of the given script file "
+        "as defined by PEP 723 inline metadata. ",
+    )
+
+
+def editable() -> Option:
+    return Option(
+        "-e",
+        "--editable",
+        dest="editables",
+        action="append",
+        default=[],
+        metavar="path/url",
+        help=(
+            "Install a project in editable mode (i.e. setuptools "
+            '"develop mode") from a local project path or a VCS url.'
+        ),
+    )
+
+
+def _handle_src(option: Option, opt_str: str, value: str, parser: OptionParser) -> None:
+    value = os.path.abspath(value)
+    setattr(parser.values, option.dest, value)
+
+
+src: Callable[..., Option] = partial(
+    PipOption,
+    "--src",
+    "--source",
+    "--source-dir",
+    "--source-directory",
+    dest="src_dir",
+    type="path",
+    metavar="dir",
+    default=get_src_prefix(),
+    action="callback",
+    callback=_handle_src,
+    help="Directory to check out editable projects into. "
+    'The default in a virtualenv is "/src". '
+    'The default for global installs is "/src".',
+)
+
+
+def _get_format_control(values: Values, option: Option) -> Any:
+    """Get a format_control object."""
+    return getattr(values, option.dest)
+
+
+def _handle_no_binary(
+    option: Option, opt_str: str, value: str, parser: OptionParser
+) -> None:
+    existing = _get_format_control(parser.values, option)
+    FormatControl.handle_mutual_excludes(
+        value,
+        existing.no_binary,
+        existing.only_binary,
+    )
+
+
+def _handle_only_binary(
+    option: Option, opt_str: str, value: str, parser: OptionParser
+) -> None:
+    existing = _get_format_control(parser.values, option)
+    FormatControl.handle_mutual_excludes(
+        value,
+        existing.only_binary,
+        existing.no_binary,
+    )
+
+
+def no_binary() -> Option:
+    format_control = FormatControl(set(), set())
+    return Option(
+        "--no-binary",
+        dest="format_control",
+        action="callback",
+        callback=_handle_no_binary,
+        type="str",
+        default=format_control,
+        help="Do not download binary packages. Cached binary packages may still "
+        "be used. Can be supplied multiple times, and each time adds to "
+        "the existing value. Accepts either ':all:' to disable all binary "
+        "packages, ':none:' to empty the set (notice the colons), or one "
+        "or more package names with commas between them (no colons). "
+        "Note that some packages are tricky to compile and may fail to "
+        "install when this option is used on them.",
+    )
+
+
+def only_binary() -> Option:
+    format_control = FormatControl(set(), set())
+    return Option(
+        "--only-binary",
+        dest="format_control",
+        action="callback",
+        callback=_handle_only_binary,
+        type="str",
+        default=format_control,
+        help="Do not use source packages. Can be supplied multiple times, and "
+        'each time adds to the existing value. Accepts either ":all:" to '
+        'disable all source packages, ":none:" to empty the set, or one '
+        "or more package names with commas between them. Packages "
+        "without binary distributions will fail to install when this "
+        "option is used on them.",
+    )
+
+
+def _get_release_control(values: Values, option: Option) -> Any:
+    """Get a release_control object."""
+    return getattr(values, option.dest)
+
+
+def _handle_all_releases(
+    option: Option, opt_str: str, value: str, parser: OptionParser
+) -> None:
+    existing = _get_release_control(parser.values, option)
+    existing.handle_mutual_excludes(
+        value,
+        existing.all_releases,
+        existing.only_final,
+        "all_releases",
+    )
+
+
+def _handle_only_final(
+    option: Option, opt_str: str, value: str, parser: OptionParser
+) -> None:
+    existing = _get_release_control(parser.values, option)
+    existing.handle_mutual_excludes(
+        value,
+        existing.only_final,
+        existing.all_releases,
+        "only_final",
+    )
+
+
+def all_releases() -> Option:
+    release_control = ReleaseControl(set(), set())
+    return Option(
+        "--all-releases",
+        dest="release_control",
+        action="callback",
+        callback=_handle_all_releases,
+        type="str",
+        default=release_control,
+        help="Allow all release types (including pre-releases) for a package. "
+        "Can be supplied multiple times, and each time adds to the existing "
+        'value. Accepts either ":all:" to allow pre-releases for all '
+        'packages, ":none:" to empty the set (notice the colons), or one or '
+        "more package names with commas between them (no colons). Cannot be "
+        "used with --pre.",
+    )
+
+
+def only_final() -> Option:
+    release_control = ReleaseControl(set(), set())
+    return Option(
+        "--only-final",
+        dest="release_control",
+        action="callback",
+        callback=_handle_only_final,
+        type="str",
+        default=release_control,
+        help="Only allow final releases (no pre-releases) for a package. Can be "
+        "supplied multiple times, and each time adds to the existing value. "
+        'Accepts either ":all:" to disable pre-releases for all packages, '
+        '":none:" to empty the set, or one or more package names with commas '
+        "between them. Cannot be used with --pre.",
+    )
+
+
+def check_release_control_exclusive(options: Values) -> None:
+    """
+    Raise an error if --pre is used with --all-releases or --only-final,
+    and transform --pre into --all-releases :all: if used alone.
+    """
+    if not hasattr(options, "pre") or not options.pre:
+        return
+
+    release_control = options.release_control
+    if release_control.all_releases or release_control.only_final:
+        raise CommandError("--pre cannot be used with --all-releases or --only-final.")
+
+    # Transform --pre into --all-releases :all:
+    release_control.all_releases.add(":all:")
+
+
+platforms: Callable[..., Option] = partial(
+    Option,
+    "--platform",
+    dest="platforms",
+    metavar="platform",
+    action="append",
+    default=None,
+    help=(
+        "Only use wheels compatible with . Defaults to the "
+        "platform of the running system. Use this option multiple times to "
+        "specify multiple platforms supported by the target interpreter."
+    ),
+)
+
+
+# This was made a separate function for unit-testing purposes.
+def _convert_python_version(value: str) -> tuple[tuple[int, ...], str | None]:
+    """
+    Convert a version string like "3", "37", or "3.7.3" into a tuple of ints.
+
+    :return: A 2-tuple (version_info, error_msg), where `error_msg` is
+        non-None if and only if there was a parsing error.
+    """
+    if not value:
+        # The empty string is the same as not providing a value.
+        return (None, None)
+
+    parts = value.split(".")
+    if len(parts) > 3:
+        return ((), "at most three version parts are allowed")
+
+    if len(parts) == 1:
+        # Then we are in the case of "3" or "37".
+        value = parts[0]
+        if len(value) > 1:
+            parts = [value[0], value[1:]]
+
+    try:
+        version_info = tuple(int(part) for part in parts)
+    except ValueError:
+        return ((), "each version part must be an integer")
+
+    return (version_info, None)
+
+
+def _handle_python_version(
+    option: Option, opt_str: str, value: str, parser: OptionParser
+) -> None:
+    """
+    Handle a provided --python-version value.
+    """
+    version_info, error_msg = _convert_python_version(value)
+    if error_msg is not None:
+        msg = f"invalid --python-version value: {value!r}: {error_msg}"
+        raise_option_error(parser, option=option, msg=msg)
+
+    parser.values.python_version = version_info
+
+
+python_version: Callable[..., Option] = partial(
+    Option,
+    "--python-version",
+    dest="python_version",
+    metavar="python_version",
+    action="callback",
+    callback=_handle_python_version,
+    type="str",
+    default=None,
+    help=dedent("""\
+    The Python interpreter version to use for wheel and "Requires-Python"
+    compatibility checks. Defaults to a version derived from the running
+    interpreter. The version can be specified using up to three dot-separated
+    integers (e.g. "3" for 3.0.0, "3.7" for 3.7.0, or "3.7.3"). A major-minor
+    version can also be given as a string without dots (e.g. "37" for 3.7.0).
+    """),
+)
+
+
+implementation: Callable[..., Option] = partial(
+    Option,
+    "--implementation",
+    dest="implementation",
+    metavar="implementation",
+    default=None,
+    help=(
+        "Only use wheels compatible with Python "
+        "implementation , e.g. 'pp', 'jy', 'cp', "
+        " or 'ip'. If not specified, then the current "
+        "interpreter implementation is used.  Use 'py' to force "
+        "implementation-agnostic wheels."
+    ),
+)
+
+
+abis: Callable[..., Option] = partial(
+    Option,
+    "--abi",
+    dest="abis",
+    metavar="abi",
+    action="append",
+    default=None,
+    help=(
+        "Only use wheels compatible with Python abi , e.g. 'pypy_41'. "
+        "If not specified, then the current interpreter abi tag is used. "
+        "Use this option multiple times to specify multiple abis supported "
+        "by the target interpreter. Generally you will need to specify "
+        "--implementation, --platform, and --python-version when using this "
+        "option."
+    ),
+)
+
+
+def add_target_python_options(cmd_opts: OptionGroup) -> None:
+    cmd_opts.add_option(platforms())
+    cmd_opts.add_option(python_version())
+    cmd_opts.add_option(implementation())
+    cmd_opts.add_option(abis())
+
+
+def make_target_python(options: Values) -> TargetPython:
+    target_python = TargetPython(
+        platforms=options.platforms,
+        py_version_info=options.python_version,
+        abis=options.abis,
+        implementation=options.implementation,
+    )
+
+    return target_python
+
+
+def prefer_binary() -> Option:
+    return Option(
+        "--prefer-binary",
+        dest="prefer_binary",
+        action="store_true",
+        default=False,
+        help=(
+            "Prefer binary packages over source packages, even if the "
+            "source packages are newer."
+        ),
+    )
+
+
+cache_dir: Callable[..., Option] = partial(
+    PipOption,
+    "--cache-dir",
+    dest="cache_dir",
+    default=USER_CACHE_DIR,
+    metavar="dir",
+    type="path",
+    help="Store the cache data in .",
+)
+
+
+def _handle_no_cache_dir(
+    option: Option, opt: str, value: str, parser: OptionParser
+) -> None:
+    """
+    Process a value provided for the --no-cache-dir option.
+
+    This is an optparse.Option callback for the --no-cache-dir option.
+    """
+    # The value argument will be None if --no-cache-dir is passed via the
+    # command-line, since the option doesn't accept arguments.  However,
+    # the value can be non-None if the option is triggered e.g. by an
+    # environment variable, like PIP_NO_CACHE_DIR=true.
+    if value is not None:
+        # Then parse the string value to get argument error-checking.
+        try:
+            strtobool(value)
+        except ValueError as exc:
+            raise_option_error(parser, option=option, msg=str(exc))
+
+    # Originally, setting PIP_NO_CACHE_DIR to a value that strtobool()
+    # converted to 0 (like "false" or "no") caused cache_dir to be disabled
+    # rather than enabled (logic would say the latter).  Thus, we disable
+    # the cache directory not just on values that parse to True, but (for
+    # backwards compatibility reasons) also on values that parse to False.
+    # In other words, always set it to False if the option is provided in
+    # some (valid) form.
+    parser.values.cache_dir = False
+
+
+no_cache: Callable[..., Option] = partial(
+    Option,
+    "--no-cache-dir",
+    dest="cache_dir",
+    action="callback",
+    callback=_handle_no_cache_dir,
+    help="Disable the cache.",
+)
+
+no_deps: Callable[..., Option] = partial(
+    Option,
+    "--no-deps",
+    "--no-dependencies",
+    dest="ignore_dependencies",
+    action="store_true",
+    default=False,
+    help="Don't install package dependencies.",
+)
+
+
+def _handle_refresh_package(
+    option: Option, opt_str: str, value: str, parser: OptionParser
+) -> None:
+    if value.startswith("-"):
+        raise CommandError("--refresh-package option requires 1 argument.")
+
+    existing: set[str] = getattr(parser.values, option.dest)
+
+    new = value.split(",")
+    while ":all:" in new:
+        existing.clear()
+        existing.add(":all:")
+        del new[: new.index(":all:") + 1]
+        if ":none:" not in new:
+            return
+
+    for name in new:
+        if name == ":none:":
+            existing.clear()
+        else:
+            existing.add(canonicalize_name(name))
+
+
+def refresh_package() -> Option:
+    return Option(
+        "--refresh-package",
+        dest="refresh_package",
+        action="callback",
+        callback=_handle_refresh_package,
+        type="str",
+        default=set(),
+        help="Refresh package index information for the given packages instead "
+        "of using cached responses. Accepts ':all:' to apply "
+        "to all packages, or a comma-separated list of package names.",
+    )
+
+
+only_deps: Callable[..., Option] = partial(
+    Option,
+    "--only-deps",
+    "--only-dependencies",
+    dest="only_dependencies",
+    action="store_true",
+    default=False,
+    help=(
+        "Take only the dependencies of the provided requirements into account, "
+        "not the requirements themselves. Cannot be used in combination with "
+        "--no-deps, --group, --requirement, or --requirements-from-script. "
+        "No user-supplied requirements will be handled, even if they were "
+        "dependencies of other user-supplied requirements."
+    ),
+)
+
+
+def _handle_dependency_group(
+    option: Option, opt: str, value: str, parser: OptionParser
+) -> None:
+    """
+    Process a value provided for the --group option.
+
+    Splits on the rightmost ":", and validates that the path (if present) ends
+    in `pyproject.toml`. Defaults the path to `pyproject.toml` when one is not given.
+
+    `:` cannot appear in dependency group names, so this is a safe and simple parse.
+
+    This is an optparse.Option callback for the dependency_groups option.
+    """
+    path, sep, groupname = value.rpartition(":")
+    if not sep:
+        path = "pyproject.toml"
+    else:
+        # check for 'pyproject.toml' filenames using pathlib
+        if pathlib.PurePath(path).name != "pyproject.toml":
+            msg = "group paths use 'pyproject.toml' filenames"
+            raise_option_error(parser, option=option, msg=msg)
+
+    parser.values.dependency_groups.append((path, groupname))
+
+
+dependency_groups: Callable[..., Option] = partial(
+    Option,
+    "--group",
+    dest="dependency_groups",
+    default=[],
+    type=str,
+    action="callback",
+    callback=_handle_dependency_group,
+    metavar="[path:]group",
+    help='Install a named dependency-group from a "pyproject.toml" file. '
+    'If a path is given, the name of the file must be "pyproject.toml". '
+    'Defaults to using "pyproject.toml" in the current directory.',
+)
+
+ignore_requires_python: Callable[..., Option] = partial(
+    Option,
+    "--ignore-requires-python",
+    dest="ignore_requires_python",
+    action="store_true",
+    help="Ignore the Requires-Python information.",
+)
+
+
+no_build_isolation: Callable[..., Option] = partial(
+    Option,
+    "--no-build-isolation",
+    dest="build_isolation",
+    action="store_false",
+    default=True,
+    help="Disable isolation when building a modern source distribution. "
+    "Build dependencies specified by PEP 518 must be already installed "
+    "if this option is used.",
+)
+
+check_build_deps: Callable[..., Option] = partial(
+    Option,
+    "--check-build-dependencies",
+    dest="check_build_deps",
+    action="store_true",
+    default=False,
+    help="Check the build dependencies.",
+)
+
+
+use_pep517: Any = partial(
+    Option,
+    "--use-pep517",
+    dest="use_pep517",
+    action="store_true",
+    default=True,
+    help=SUPPRESS_HELP,
+)
+
+
+def _handle_config_settings(
+    option: Option, opt_str: str, value: str, parser: OptionParser
+) -> None:
+    key, sep, val = value.partition("=")
+    if sep != "=":
+        parser.error(f"Arguments to {opt_str} must be of the form KEY=VAL")
+    dest = getattr(parser.values, option.dest)
+    if dest is None:
+        dest = {}
+        setattr(parser.values, option.dest, dest)
+    if key in dest:
+        if isinstance(dest[key], list):
+            dest[key].append(val)
+        else:
+            dest[key] = [dest[key], val]
+    else:
+        dest[key] = val
+
+
+config_settings: Callable[..., Option] = partial(
+    Option,
+    "-C",
+    "--config-settings",
+    dest="config_settings",
+    type=str,
+    action="callback",
+    callback=_handle_config_settings,
+    metavar="settings",
+    help="Configuration settings to be passed to the build backend. "
+    "Settings take the form KEY=VALUE. Use multiple --config-settings options "
+    "to pass multiple keys to the backend.",
+)
+
+no_clean: Callable[..., Option] = partial(
+    Option,
+    "--no-clean",
+    action="store_true",
+    default=False,
+    help="Don't clean up build directories.",
+)
+
+pre: Callable[..., Option] = partial(
+    Option,
+    "--pre",
+    action="store_true",
+    default=False,
+    help="Include pre-release and development versions. By default, "
+    "pip only finds stable versions.",
+)
+
+json: Callable[..., Option] = partial(
+    Option,
+    "--json",
+    action="store_true",
+    default=False,
+    help="Output data in a machine-readable JSON format.",
+)
+
+disable_pip_version_check: Callable[..., Option] = partial(
+    Option,
+    "--disable-pip-version-check",
+    dest="disable_pip_version_check",
+    action="store_true",
+    default=False,
+    help="Don't periodically check PyPI to determine whether a new version "
+    "of pip is available for download. Implied with --no-index.",
+)
+
+root_user_action: Callable[..., Option] = partial(
+    Option,
+    "--root-user-action",
+    dest="root_user_action",
+    default="warn",
+    choices=["warn", "ignore"],
+    help="Action if pip is run as a root user [warn, ignore] (default: warn)",
+)
+
+
+def _handle_merge_hash(
+    option: Option, opt_str: str, value: str, parser: OptionParser
+) -> None:
+    """Given a value spelled "algo:digest", append the digest to a list
+    pointed to in a dict by the algo name."""
+    if not parser.values.hashes:
+        parser.values.hashes = {}
+    try:
+        algo, digest = value.split(":", 1)
+    except ValueError:
+        parser.error(
+            f"Arguments to {opt_str} must be a hash name "
+            "followed by a value, like --hash=sha256:"
+            "abcde..."
+        )
+    if algo not in STRONG_HASHES:
+        parser.error(
+            "Allowed hash algorithms for {} are {}.".format(
+                opt_str, ", ".join(STRONG_HASHES)
+            )
+        )
+    parser.values.hashes.setdefault(algo, []).append(digest)
+
+
+hash: Callable[..., Option] = partial(
+    Option,
+    "--hash",
+    # Hash values eventually end up in InstallRequirement.hashes due to
+    # __dict__ copying in process_line().
+    dest="hashes",
+    action="callback",
+    callback=_handle_merge_hash,
+    type="string",
+    help="Verify that the package's archive matches this "
+    "hash before installing. Example: --hash=sha256:abcdef...",
+)
+
+
+require_hashes: Callable[..., Option] = partial(
+    Option,
+    "--require-hashes",
+    dest="require_hashes",
+    action="store_true",
+    default=False,
+    help="Require a hash to check each requirement against, for "
+    "repeatable installs. This option is implied when any package in a "
+    "requirements file has a --hash option.",
+)
+
+
+no_require_hashes: Callable[..., Option] = partial(
+    Option,
+    "--no-require-hashes",
+    dest="no_require_hashes",
+    action="store_true",
+    default=False,
+    help="Do not automatically enable --require-hashes "
+    "when encountering a requirement with hashes.",
+)
+
+
+list_path: Callable[..., Option] = partial(
+    PipOption,
+    "--path",
+    dest="path",
+    type="path",
+    action="append",
+    help="Restrict to the specified installation path for listing "
+    "packages (can be used multiple times).",
+)
+
+
+def check_list_path_option(options: Values) -> None:
+    if options.path and (options.user or options.local):
+        raise CommandError("Cannot combine '--path' with '--user' or '--local'")
+
+
+list_exclude: Callable[..., Option] = partial(
+    PipOption,
+    "--exclude",
+    dest="excludes",
+    action="append",
+    metavar="package",
+    type="package_name",
+    help="Exclude specified package from the output",
+)
+
+
+no_python_version_warning: Callable[..., Option] = partial(
+    Option,
+    "--no-python-version-warning",
+    dest="no_python_version_warning",
+    action="store_true",
+    default=False,
+    help=SUPPRESS_HELP,  # No-op, a hold-over from the Python 2->3 transition.
+)
+
+
+# Features that are now always on. A warning is printed if they are used.
+ALWAYS_ENABLED_FEATURES = [
+    "truststore",  # always on since 24.2
+    "no-binary-enable-wheel-cache",  # always on since 23.1
+    "build-constraint",  # always on since 26.2
+]
+
+use_new_feature: Callable[..., Option] = partial(
+    Option,
+    "--use-feature",
+    dest="features_enabled",
+    metavar="feature",
+    action="append",
+    default=[],
+    choices=[
+        "fast-deps",
+        "inprocess-build-deps",
+        "venv-isolation",
+    ]
+    + ALWAYS_ENABLED_FEATURES,
+    help="Enable new functionality, that may be backward incompatible.",
+)
+
+use_deprecated_feature: Callable[..., Option] = partial(
+    Option,
+    "--use-deprecated",
+    dest="deprecated_features_enabled",
+    metavar="feature",
+    action="append",
+    default=[],
+    choices=[
+        "legacy-resolver",
+        "legacy-certs",
+    ],
+    help=("Enable deprecated functionality, that will be removed in the future."),
+)
+
+##########
+# groups #
+##########
+
+general_group: dict[str, Any] = {
+    "name": "General Options",
+    "options": [
+        help_,
+        debug_mode,
+        isolated_mode,
+        require_virtualenv,
+        python,
+        verbose,
+        version,
+        quiet,
+        log,
+        no_input,
+        keyring_provider,
+        proxy,
+        no_proxy_env,
+        retries,
+        timeout,
+        exists_action,
+        trusted_host,
+        cert,
+        client_cert,
+        cache_dir,
+        no_cache,
+        disable_pip_version_check,
+        no_color,
+        no_python_version_warning,
+        use_new_feature,
+        use_deprecated_feature,
+        resume_retries,
+    ],
+}
+
+index_group: dict[str, Any] = {
+    "name": "Package Index Options",
+    "options": [
+        index_url,
+        extra_index_url,
+        no_index,
+        refresh_package,
+        find_links,
+        uploaded_prior_to,
+    ],
+}
+
+package_selection_group: dict[str, Any] = {
+    "name": "Package Selection Options",
+    "options": [
+        pre,
+        all_releases,
+        only_final,
+        no_binary,
+        only_binary,
+        prefer_binary,
+    ],
+}
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/command_context.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/command_context.py
new file mode 100644
index 0000000000000000000000000000000000000000..9c167bdc339860dffba24040cf1e83e24b2fa089
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/command_context.py
@@ -0,0 +1,28 @@
+from collections.abc import Generator
+from contextlib import AbstractContextManager, ExitStack, contextmanager
+from typing import TypeVar
+
+_T = TypeVar("_T", covariant=True)
+
+
+class CommandContextMixIn:
+    def __init__(self) -> None:
+        super().__init__()
+        self._in_main_context = False
+        self._main_context = ExitStack()
+
+    @contextmanager
+    def main_context(self) -> Generator[None, None, None]:
+        assert not self._in_main_context
+
+        self._in_main_context = True
+        try:
+            with self._main_context:
+                yield
+        finally:
+            self._in_main_context = False
+
+    def enter_context(self, context_provider: AbstractContextManager[_T]) -> _T:
+        assert self._in_main_context
+
+        return self._main_context.enter_context(context_provider)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/index_command.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/index_command.py
new file mode 100644
index 0000000000000000000000000000000000000000..e1345ae43cc7de48a249c3034e02be64b6272d58
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/index_command.py
@@ -0,0 +1,217 @@
+"""
+Contains command classes which may interact with an index / the network.
+
+Unlike its sister module, req_command, this module still uses lazy imports
+so commands which don't always hit the network (e.g. list w/o --outdated or
+--uptodate) don't need waste time importing PipSession and friends.
+"""
+
+from __future__ import annotations
+
+import contextlib
+import logging
+import os
+from collections.abc import Iterator
+from functools import lru_cache
+from optparse import Values
+from typing import TYPE_CHECKING
+
+from pip._vendor import certifi
+
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.command_context import CommandContextMixIn
+
+if TYPE_CHECKING:
+    from ssl import SSLContext
+
+    from pip._vendor.packaging.utils import NormalizedName
+
+    from pip._internal.network.session import PipSession
+    from pip._internal.self_outdated_check import UpgradePrompt
+
+logger = logging.getLogger(__name__)
+
+
+@lru_cache
+def _create_truststore_ssl_context() -> SSLContext | None:
+    try:
+        import ssl
+    except ImportError:
+        logger.warning("Disabling truststore since ssl support is missing")
+        return None
+
+    try:
+        from pip._vendor import truststore
+    except ImportError:
+        logger.warning("Disabling truststore because platform isn't supported")
+        return None
+
+    ctx = truststore.SSLContext(ssl.PROTOCOL_TLS_CLIENT)
+    ctx.load_verify_locations(certifi.where())
+    return ctx
+
+
+class SessionCommandMixin(CommandContextMixIn):
+    """
+    A class mixin for command classes needing _build_session().
+    """
+
+    def __init__(self) -> None:
+        super().__init__()
+        self._session: PipSession | None = None
+
+    @classmethod
+    def _get_index_urls(cls, options: Values) -> list[str] | None:
+        """Return a list of index urls from user-provided options."""
+        index_urls = []
+        if not getattr(options, "no_index", False):
+            url = getattr(options, "index_url", None)
+            if url:
+                index_urls.append(url)
+        urls = getattr(options, "extra_index_urls", None)
+        if urls:
+            index_urls.extend(urls)
+        # Return None rather than an empty list
+        return index_urls or None
+
+    def get_default_session(self, options: Values) -> PipSession:
+        """Get a default-managed session."""
+        if self._session is None:
+            self._session = self.enter_context(self._build_session(options))
+            # there's no type annotation on requests.Session, so it's
+            # automatically ContextManager[Any] and self._session becomes Any,
+            # then https://github.com/python/mypy/issues/7696 kicks in
+            assert self._session is not None
+        return self._session
+
+    def _build_session(
+        self,
+        options: Values,
+        retries: int | None = None,
+        timeout: int | None = None,
+    ) -> PipSession:
+        from pip._internal.network.session import PipSession
+
+        cache_dir = options.cache_dir
+        assert not cache_dir or os.path.isabs(cache_dir)
+
+        if "legacy-certs" not in options.deprecated_features_enabled:
+            ssl_context = _create_truststore_ssl_context()
+        else:
+            ssl_context = None
+
+        session = PipSession(
+            cache=os.path.join(cache_dir, "http-v2") if cache_dir else None,
+            retries=retries if retries is not None else options.retries,
+            resume_retries=options.resume_retries,
+            trusted_hosts=options.trusted_hosts,
+            index_urls=self._get_index_urls(options),
+            ssl_context=ssl_context,
+            refresh_package=getattr(options, "refresh_package", set()),
+        )
+
+        # Handle custom ca-bundles from the user
+        if options.cert:
+            session.verify = options.cert
+
+        # Handle SSL client certificate
+        if options.client_cert:
+            session.cert = options.client_cert
+
+        # Handle timeouts
+        if options.timeout or timeout:
+            session.timeout = timeout if timeout is not None else options.timeout
+
+        # An explicit --proxy (including "" to disable proxying) or --no-proxy-env
+        # makes the session ignore environment proxies; unset --proxy is None.
+        if options.proxy is not None or options.no_proxy_env:
+            if options.proxy:
+                session.proxies = {
+                    "http": options.proxy,
+                    "https": options.proxy,
+                }
+            session.trust_env = False
+            # Keep "" so an empty --proxy reaches build subprocesses.
+            session.pip_proxy = options.proxy
+            session.pip_no_proxy_env = options.no_proxy_env
+
+        # Determine if we can prompt the user for authentication or not
+        session.auth.prompting = not options.no_input
+        session.auth.keyring_provider = options.keyring_provider
+
+        return session
+
+
+def _pip_self_version_check_fetch(
+    session: PipSession, options: Values
+) -> UpgradePrompt | None:
+    from pip._internal.self_outdated_check import pip_self_version_check_fetch
+
+    return pip_self_version_check_fetch(session, options)
+
+
+def _pip_self_version_check_emit(upgrade_prompt: UpgradePrompt | None) -> None:
+    from pip._internal.self_outdated_check import pip_self_version_check_emit
+
+    pip_self_version_check_emit(upgrade_prompt)
+
+
+class IndexGroupCommand(Command, SessionCommandMixin):
+    """
+    Abstract base class for commands with the index_group options.
+
+    This also corresponds to the commands that permit the pip version check.
+    """
+
+    def should_exclude_prerelease(
+        self, options: Values, package_name: NormalizedName
+    ) -> bool:
+        """
+        Determine if pre-releases should be excluded for a package.
+        """
+        # Check per-package release control settings
+        if options.release_control:
+            allow_prereleases = options.release_control.allows_prereleases(package_name)
+            if allow_prereleases is True:
+                return False  # Include pre-releases
+            elif allow_prereleases is False:
+                return True  # Exclude pre-releases
+
+        # No specific setting: exclude prereleases by default
+        return True
+
+    @contextlib.contextmanager
+    def pip_version_check(self, options: Values, args: list[str]) -> Iterator[None]:
+        """
+        Do the pip version check if not disabled.
+
+        This overrides the default behavior of not doing the check.
+        """
+        # Make sure the index_group options are present.
+        assert hasattr(options, "no_index")
+
+        if options.disable_pip_version_check or options.no_index:
+            yield
+            return
+
+        upgrade_prompt: UpgradePrompt | None = None
+        try:
+            session = self._build_session(
+                options,
+                retries=0,
+                timeout=min(5, options.timeout),
+            )
+            with session:
+                upgrade_prompt = _pip_self_version_check_fetch(session, options)
+        except Exception:
+            logger.warning("There was an error checking the latest version of pip.")
+            logger.debug("See below for error", exc_info=True)
+
+        try:
+            yield
+        finally:
+            try:
+                _pip_self_version_check_emit(upgrade_prompt)
+            except Exception:
+                logger.warning("There was an error checking the latest version of pip.")
+                logger.debug("See below for error", exc_info=True)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/main.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/main.py
new file mode 100644
index 0000000000000000000000000000000000000000..86ea4d58e16f6de51276471bb4e508fef0a8e845
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/main.py
@@ -0,0 +1,86 @@
+"""Primary application entrypoint."""
+
+from __future__ import annotations
+
+import locale
+import logging
+import os
+import sys
+import warnings
+
+logger = logging.getLogger(__name__)
+
+
+# Do not import and use main() directly! Using it directly is actively
+# discouraged by pip's maintainers. The name, location and behavior of
+# this function is subject to change, so calling it directly is not
+# portable across different pip versions.
+
+# In addition, running pip in-process is unsupported and unsafe. This is
+# elaborated in detail at
+# https://pip.pypa.io/en/stable/user_guide/#using-pip-from-your-program.
+# That document also provides suggestions that should work for nearly
+# all users that are considering importing and using main() directly.
+
+# However, we know that certain users will still want to invoke pip
+# in-process. If you understand and accept the implications of using pip
+# in an unsupported manner, the best approach is to use runpy to avoid
+# depending on the exact location of this entry point.
+
+# The following example shows how to use runpy to invoke pip in that
+# case:
+#
+#     sys.argv = ["pip", your, args, here]
+#     runpy.run_module("pip", run_name="__main__")
+#
+# Note that this will exit the process after running, unlike a direct
+# call to main. As it is not safe to do any processing after calling
+# main, this should not be an issue in practice.
+
+
+def main(args: list[str] | None = None) -> int:
+    # NOTE: Lazy imports to speed up import of this module,
+    # which is imported from the pip console script. This doesn't
+    # speed up normal pip execution, but might be important in the future
+    # if we use ``multiprocessing`` module,
+    # which imports __main__ for each spawned subprocess.
+    from pip._internal.cli.autocompletion import autocomplete
+    from pip._internal.cli.main_parser import parse_command
+    from pip._internal.commands import create_command
+    from pip._internal.exceptions import PipError
+    from pip._internal.utils import deprecation
+
+    if args is None:
+        args = sys.argv[1:]
+
+    # Suppress the pkg_resources deprecation warning
+    # Note - we use a module of .*pkg_resources to cover
+    # the normal case (pip._vendor.pkg_resources) and the
+    # devendored case (a bare pkg_resources)
+    warnings.filterwarnings(
+        action="ignore", category=DeprecationWarning, module=".*pkg_resources"
+    )
+
+    # Configure our deprecation warnings to be sent through loggers
+    deprecation.install_warning_logger()
+
+    autocomplete()
+
+    try:
+        cmd_name, cmd_args = parse_command(args)
+    except PipError as exc:
+        sys.stderr.write(f"ERROR: {exc}")
+        sys.stderr.write(os.linesep)
+        sys.exit(1)
+
+    # Needed for locale encoding detection to work
+    # in pip._internal.utils.encoding.auto_decode
+    # TODO: Re-evaluate whether this is still needed once pip drops Python 3.10.
+    try:
+        locale.setlocale(locale.LC_ALL, "")
+    except locale.Error as e:
+        # setlocale can apparently crash if locale are uninitialized
+        logger.debug("Ignoring error %s when setting locale", e)
+    command = create_command(cmd_name, isolated=("--isolated" in cmd_args))
+
+    return command.main(cmd_args)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/main_parser.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/main_parser.py
new file mode 100644
index 0000000000000000000000000000000000000000..903c89112026f7cb686722e6a606215c52abf11c
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/main_parser.py
@@ -0,0 +1,135 @@
+"""A single place for constructing and exposing the main parser"""
+
+from __future__ import annotations
+
+import os
+import subprocess
+import sys
+
+from pip._vendor.rich.markup import escape
+
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.parser import ConfigOptionParser, UpdatingDefaultsHelpFormatter
+from pip._internal.commands import commands_dict, get_similar_commands
+from pip._internal.exceptions import CommandError
+from pip._internal.utils.misc import get_pip_version, get_prog, get_runnable_pip
+
+__all__ = ["create_main_parser", "parse_command"]
+
+
+def create_main_parser() -> ConfigOptionParser:
+    """Creates and returns the main parser for pip's CLI"""
+
+    parser = ConfigOptionParser(
+        usage="\n%prog  [options]",
+        add_help_option=False,
+        formatter=UpdatingDefaultsHelpFormatter(),
+        name="global",
+        prog=get_prog(),
+    )
+    parser.disable_interspersed_args()
+
+    parser.version = get_pip_version()
+
+    # add the general options
+    gen_opts = cmdoptions.make_option_group(cmdoptions.general_group, parser)
+    parser.add_option_group(gen_opts)
+
+    # so the help formatter knows
+    parser.main = True  # type: ignore
+
+    # create command listing for description
+    description = [""] + [
+        f"[optparse.longargs]{name:27}[/] {escape(command_info.summary)}"
+        for name, command_info in commands_dict.items()
+    ]
+    parser.description = "\n".join(description)
+
+    return parser
+
+
+def identify_python_interpreter(python: str) -> str | None:
+    # If the named file exists, use it.
+    # If it's a directory, assume it's a virtual environment and
+    # look for the environment's Python executable.
+    if os.path.exists(python):
+        if os.path.isdir(python):
+            # bin/python for Unix, Scripts/python.exe for Windows
+            # Try both in case of odd cases like cygwin.
+            for exe in ("bin/python", "Scripts/python.exe"):
+                py = os.path.join(python, exe)
+                if os.path.exists(py):
+                    return py
+        else:
+            return python
+
+    # Could not find the interpreter specified
+    return None
+
+
+def parse_command(args: list[str]) -> tuple[str, list[str]]:
+    parser = create_main_parser()
+
+    # Note: parser calls disable_interspersed_args(), so the result of this
+    # call is to split the initial args into the general options before the
+    # subcommand and everything else.
+    # For example:
+    #  args: ['--timeout=5', 'install', '--user', 'INITools']
+    #  general_options: ['--timeout==5']
+    #  args_else: ['install', '--user', 'INITools']
+    general_options, args_else = parser.parse_args(args)
+
+    # --python
+    if general_options.python and "_PIP_RUNNING_IN_SUBPROCESS" not in os.environ:
+        # Re-invoke pip using the specified Python interpreter
+        interpreter = identify_python_interpreter(general_options.python)
+        if interpreter is None:
+            raise CommandError(
+                f"Could not locate Python interpreter {general_options.python}"
+            )
+
+        pip_cmd = [
+            interpreter,
+            get_runnable_pip(),
+        ]
+        pip_cmd.extend(args)
+
+        # Set a flag so the child doesn't re-invoke itself, causing
+        # an infinite loop.
+        os.environ["_PIP_RUNNING_IN_SUBPROCESS"] = "1"
+        returncode = 0
+        try:
+            proc = subprocess.run(pip_cmd)
+            returncode = proc.returncode
+        except (subprocess.SubprocessError, OSError) as exc:
+            raise CommandError(f"Failed to run pip under {interpreter}: {exc}")
+        sys.exit(returncode)
+
+    # --version
+    if general_options.version:
+        sys.stdout.write(parser.version)
+        sys.stdout.write(os.linesep)
+        sys.exit()
+
+    # pip || pip help -> print_help()
+    if not args_else or (args_else[0] == "help" and len(args_else) == 1):
+        parser.print_help()
+        sys.exit()
+
+    # the subcommand name
+    cmd_name = args_else[0]
+
+    if cmd_name not in commands_dict:
+        guess = get_similar_commands(cmd_name)
+
+        msg = [f'unknown command "{cmd_name}"']
+        if guess:
+            msg.append(f'maybe you meant "{guess}"')
+
+        raise CommandError(" - ".join(msg))
+
+    # all the args without the subcommand
+    cmd_args = args[:]
+    cmd_args.remove(cmd_name)
+
+    return cmd_name, cmd_args
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/parser.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/parser.py
new file mode 100644
index 0000000000000000000000000000000000000000..4df249ad2fa686acfe9c7a63d1cb19f7e09f9265
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/parser.py
@@ -0,0 +1,366 @@
+"""Base option parser setup"""
+
+from __future__ import annotations
+
+import logging
+import optparse
+import os
+import re
+import shutil
+import sys
+import textwrap
+from collections.abc import Generator
+from contextlib import suppress
+from typing import Any, NoReturn
+
+from pip._vendor.rich.markup import escape
+from pip._vendor.rich.theme import Theme
+
+from pip._internal.cli.status_codes import UNKNOWN_ERROR
+from pip._internal.configuration import Configuration, ConfigurationError
+from pip._internal.utils.logging import PipConsole
+from pip._internal.utils.misc import redact_auth_from_url, strtobool
+
+logger = logging.getLogger(__name__)
+
+
+class PrettyHelpFormatter(optparse.IndentedHelpFormatter):
+    """A prettier/less verbose help formatter for optparse."""
+
+    styles = {
+        "optparse.shortargs": "green",
+        "optparse.longargs": "cyan",
+        "optparse.groups": "bold blue",
+        "optparse.metavar": "yellow",
+    }
+    highlights = {
+        r"\s(-{1}[\w]+[\w-]*)": "shortargs",  # highlight -letter as short args
+        r"\s(-{2}[\w]+[\w-]*)": "longargs",  # highlight --words as long args
+    }
+
+    def __init__(self, *args: Any, **kwargs: Any) -> None:
+        # help position must be aligned with __init__.parseopts.description
+        kwargs["max_help_position"] = 30
+        kwargs["indent_increment"] = 1
+        kwargs["width"] = shutil.get_terminal_size()[0] - 2
+        super().__init__(*args, **kwargs)
+
+    def format_option_strings(self, option: optparse.Option) -> str:
+        """Return a comma-separated list of option strings and metavars."""
+        opts = []
+
+        if option._short_opts:
+            opts.append(f"[optparse.shortargs]{option._short_opts[0]}[/]")
+        if option._long_opts:
+            opts.append(f"[optparse.longargs]{option._long_opts[0]}[/]")
+        if len(opts) > 1:
+            opts.insert(1, ", ")
+
+        if option.takes_value():
+            assert option.dest is not None
+            metavar = option.metavar or option.dest.lower()
+            opts.append(f" [optparse.metavar]<{escape(metavar.lower())}>[/]")
+
+        return "".join(opts)
+
+    def format_option(self, option: optparse.Option) -> str:
+        """Overridden method with Rich support."""
+        # fmt: off
+        result = []
+        opts = self.option_strings[option]
+        opt_width = self.help_position - self.current_indent - 2
+        # Remove the rich style tags before calculating width during
+        # text wrap calculations. Also store the length removed to adjust
+        # the padding in the else branch.
+        stripped = re.sub(r"(\[[a-z.]+\])|(\[\/\])", "", opts)
+        style_tag_length = len(opts) - len(stripped)
+        if len(stripped) > opt_width:
+            opts = "%*s%s\n" % (self.current_indent, "", opts)  # noqa: UP031
+            indent_first = self.help_position
+        else:                       # start help on same line as opts
+            opts = "%*s%-*s  " % (self.current_indent, "",      # noqa: UP031
+                                  opt_width + style_tag_length, opts)
+            indent_first = 0
+        result.append(opts)
+        if option.help:
+            help_text = self.expand_default(option)
+            help_lines = textwrap.wrap(help_text, self.help_width)
+            result.append("%*s%s\n" % (indent_first, "", help_lines[0]))  # noqa: UP031
+            result.extend(["%*s%s\n" % (self.help_position, "", line)     # noqa: UP031
+                           for line in help_lines[1:]])
+        elif opts[-1] != "\n":
+            result.append("\n")
+        return "".join(result)
+        # fmt: on
+
+    def format_heading(self, heading: str) -> str:
+        if heading == "Options":
+            return ""
+        return "[optparse.groups]" + escape(heading) + ":[/]\n"
+
+    def format_usage(self, usage: str) -> str:
+        """
+        Ensure there is only one newline between usage and the first heading
+        if there is no description.
+        """
+        contents = self.indent_lines(textwrap.dedent(usage), "  ")
+        msg = f"\n[optparse.groups]Usage:[/] {escape(contents)}\n"
+        return msg
+
+    def format_description(self, description: str | None) -> str:
+        # leave full control over description to us
+        if description:
+            if hasattr(self.parser, "main"):
+                label = "[optparse.groups]Commands:[/]"
+            else:
+                label = "[optparse.groups]Description:[/]"
+
+            # some doc strings have initial newlines, some don't
+            description = description.lstrip("\n")
+            # some doc strings have final newlines and spaces, some don't
+            description = description.rstrip()
+            # dedent, then reindent
+            description = self.indent_lines(textwrap.dedent(description), "  ")
+            description = f"{label}\n{description}\n"
+            return description
+        else:
+            return ""
+
+    def format_epilog(self, epilog: str | None) -> str:
+        # leave full control over epilog to us
+        if epilog:
+            return escape(epilog)
+        else:
+            return ""
+
+    def expand_default(self, option: optparse.Option) -> str:
+        """Overridden HelpFormatter.expand_default() which colorizes flags."""
+        help = escape(super().expand_default(option))
+        for regex, style in self.highlights.items():
+            help = re.sub(regex, rf"[optparse.{style}] \1[/]", help)
+        return help
+
+    def indent_lines(self, text: str, indent: str) -> str:
+        new_lines = [indent + line for line in text.split("\n")]
+        return "\n".join(new_lines)
+
+
+class UpdatingDefaultsHelpFormatter(PrettyHelpFormatter):
+    """Custom help formatter for use in ConfigOptionParser.
+
+    This is updates the defaults before expanding them, allowing
+    them to show up correctly in the help listing.
+
+    Also redact auth from url type options
+    """
+
+    def expand_default(self, option: optparse.Option) -> str:
+        default_values = None
+        if self.parser is not None:
+            assert isinstance(self.parser, ConfigOptionParser)
+            self.parser._update_defaults(self.parser.defaults)
+            assert option.dest is not None
+            default_values = self.parser.defaults.get(option.dest)
+        help_text = super().expand_default(option)
+
+        if default_values and option.metavar == "URL":
+            if isinstance(default_values, str):
+                default_values = [default_values]
+
+            # If its not a list, we should abort and just return the help text
+            if not isinstance(default_values, list):
+                default_values = []
+
+            for val in default_values:
+                help_text = help_text.replace(val, redact_auth_from_url(val))
+
+        return help_text
+
+
+class CustomOptionParser(optparse.OptionParser):
+    def insert_option_group(
+        self, idx: int, *args: Any, **kwargs: Any
+    ) -> optparse.OptionGroup:
+        """Insert an OptionGroup at a given position."""
+        group = self.add_option_group(*args, **kwargs)
+
+        self.option_groups.pop()
+        self.option_groups.insert(idx, group)
+
+        return group
+
+    @property
+    def option_list_all(self) -> list[optparse.Option]:
+        """Get a list of all options, including those in option groups."""
+        res = self.option_list[:]
+        for i in self.option_groups:
+            res.extend(i.option_list)
+
+        return res
+
+
+class ConfigOptionParser(CustomOptionParser):
+    """Custom option parser which updates its defaults by checking the
+    configuration files and environmental variables"""
+
+    def __init__(
+        self,
+        *args: Any,
+        name: str,
+        isolated: bool = False,
+        **kwargs: Any,
+    ) -> None:
+        self.name = name
+        self.config = Configuration(isolated)
+
+        assert self.name
+        super().__init__(*args, **kwargs)
+
+    def check_default(self, option: optparse.Option, key: str, val: Any) -> Any:
+        try:
+            return option.check_value(key, val)
+        except optparse.OptionValueError as exc:
+            print(f"An error occurred during configuration: {exc}")
+            sys.exit(3)
+
+    def _get_ordered_configuration_items(
+        self,
+    ) -> Generator[tuple[str, Any], None, None]:
+        # Configuration gives keys in an unordered manner. Order them.
+        override_order = ["global", self.name, ":env:"]
+
+        # Pool the options into different groups
+        # Use a dict because we need to implement the fallthrough logic after PR 12201
+        # was merged which removed the fallthrough logic for options
+        section_items_dict: dict[str, dict[str, Any]] = {
+            name: {} for name in override_order
+        }
+
+        for _, value in self.config.items():
+            for section_key, val in value.items():
+
+                section, key = section_key.split(".", 1)
+                if section in override_order:
+                    section_items_dict[section][key] = val
+
+        # Now that we a dict of items per section, convert to list of tuples
+        # Make sure we completely remove empty values again
+        section_items = {
+            name: [(k, v) for k, v in section_items_dict[name].items() if v]
+            for name in override_order
+        }
+
+        # Yield each group in their override order
+        for section in override_order:
+            yield from section_items[section]
+
+    def _update_defaults(self, defaults: dict[str, Any]) -> dict[str, Any]:
+        """Updates the given defaults with values from the config files and
+        the environ. Does a little special handling for certain types of
+        options (lists)."""
+
+        # Accumulate complex default state.
+        self.values = optparse.Values(self.defaults)
+        late_eval = set()
+        # Then set the options with those values
+        for key, val in self._get_ordered_configuration_items():
+            # '--' because configuration supports only long names
+            option = self.get_option("--" + key)
+
+            # Ignore options not present in this parser. E.g. non-globals put
+            # in [global] by users that want them to apply to all applicable
+            # commands.
+            if option is None:
+                continue
+
+            assert option.dest is not None
+
+            if option.action in ("store_true", "store_false"):
+                try:
+                    val = strtobool(val)
+                except ValueError:
+                    self.error(
+                        f"{val} is not a valid value for {key} option, "
+                        "please specify a boolean value like yes/no, "
+                        "true/false or 1/0 instead."
+                    )
+            elif option.action == "count":
+                with suppress(ValueError):
+                    val = strtobool(val)
+                with suppress(ValueError):
+                    val = int(val)
+                if not isinstance(val, int) or val < 0:
+                    self.error(
+                        f"{val} is not a valid value for {key} option, "
+                        "please instead specify either a non-negative integer "
+                        "or a boolean value like yes/no or false/true "
+                        "which is equivalent to 1/0."
+                    )
+            elif option.action == "append":
+                val = val.split()
+                val = [self.check_default(option, key, v) for v in val]
+            elif option.action == "callback":
+                assert option.callback is not None
+                late_eval.add(option.dest)
+                opt_str = option.get_opt_string()
+                val = option.convert_value(opt_str, val)
+                # From take_action
+                args = option.callback_args or ()
+                kwargs = option.callback_kwargs or {}
+                option.callback(option, opt_str, val, self, *args, **kwargs)
+            else:
+                val = self.check_default(option, key, val)
+
+            defaults[option.dest] = val
+
+        for key in late_eval:
+            defaults[key] = getattr(self.values, key)
+        self.values = None
+        return defaults
+
+    def get_default_values(self) -> optparse.Values:
+        """Overriding to make updating the defaults after instantiation of
+        the option parser possible, _update_defaults() does the dirty work."""
+        if not self.process_default_values:
+            # Old, pre-Optik 1.5 behaviour.
+            return optparse.Values(self.defaults)
+
+        # Load the configuration, or error out in case of an error
+        try:
+            self.config.load()
+        except ConfigurationError as err:
+            self.exit(UNKNOWN_ERROR, str(err))
+
+        defaults = self._update_defaults(self.defaults.copy())  # ours
+        for option in self._get_all_options():
+            assert option.dest is not None
+            default = defaults.get(option.dest)
+            if isinstance(default, str):
+                opt_str = option.get_opt_string()
+                defaults[option.dest] = option.check_value(opt_str, default)
+        return optparse.Values(defaults)
+
+    def error(self, msg: str) -> NoReturn:
+        self.print_usage(sys.stderr)
+        self.exit(UNKNOWN_ERROR, f"{msg}\n")
+
+    def _create_console_for_help(self, file: Any = None) -> PipConsole:
+        # This is unfortunate but necessary since arguments may have not been
+        # parsed yet at this point, so detect --no-color manually.
+        no_color = (
+            "--no-color" in sys.argv
+            or bool(strtobool(os.environ.get("PIP_NO_COLOR", "no") or "no"))
+            or "NO_COLOR" in os.environ
+        )
+        return PipConsole(
+            theme=Theme(PrettyHelpFormatter.styles), no_color=no_color, file=file
+        )
+
+    def print_usage(self, file: Any = None) -> None:
+        if self.usage:
+            console = self._create_console_for_help(file)
+            console.print(self.get_usage(), highlight=False)
+
+    def print_help(self, file: Any = None) -> None:
+        console = self._create_console_for_help(file)
+        console.print(self.format_help().rstrip(), highlight=False)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/progress_bars.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/progress_bars.py
new file mode 100644
index 0000000000000000000000000000000000000000..f276c7e2c44ef71fcaa2dd6f741718127f019005
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/progress_bars.py
@@ -0,0 +1,153 @@
+from __future__ import annotations
+
+import functools
+import sys
+from collections.abc import Callable, Generator, Iterable, Iterator
+from typing import TYPE_CHECKING, Literal, TypeVar
+
+from pip._vendor.rich.progress import (
+    BarColumn,
+    DownloadColumn,
+    FileSizeColumn,
+    MofNCompleteColumn,
+    Progress,
+    ProgressColumn,
+    SpinnerColumn,
+    TextColumn,
+    TimeElapsedColumn,
+    TimeRemainingColumn,
+    TransferSpeedColumn,
+)
+
+from pip._internal.cli.spinners import RateLimiter
+from pip._internal.utils.logging import get_console, get_indentation
+
+if TYPE_CHECKING:
+    from pip._internal.req.req_install import InstallRequirement
+
+T = TypeVar("T")
+ProgressRenderer = Callable[[Iterable[T]], Iterator[T]]
+BarType = Literal["on", "off", "raw"]
+
+
+def _rich_download_progress_bar(
+    iterable: Iterable[bytes],
+    *,
+    bar_type: BarType,
+    size: int | None,
+    initial_progress: int | None = None,
+) -> Generator[bytes, None, None]:
+    assert bar_type == "on", "This should only be used in the default mode."
+
+    if not size:
+        total = float("inf")
+        columns: tuple[ProgressColumn, ...] = (
+            TextColumn("[progress.description]{task.description}"),
+            SpinnerColumn("line", speed=1.5),
+            FileSizeColumn(),
+            TransferSpeedColumn(),
+            TimeElapsedColumn(),
+        )
+    else:
+        total = size
+        columns = (
+            TextColumn("[progress.description]{task.description}"),
+            BarColumn(),
+            DownloadColumn(),
+            TransferSpeedColumn(),
+            TextColumn("{task.fields[time_description]}"),
+            TimeRemainingColumn(elapsed_when_finished=True),
+        )
+
+    progress = Progress(*columns, refresh_per_second=5)
+    task_id = progress.add_task(
+        " " * (get_indentation() + 2), total=total, time_description="eta"
+    )
+    if initial_progress is not None:
+        progress.update(task_id, advance=initial_progress)
+    with progress:
+        for chunk in iterable:
+            yield chunk
+            progress.update(task_id, advance=len(chunk))
+        progress.update(task_id, time_description="")
+
+
+def _rich_install_progress_bar(
+    iterable: Iterable[InstallRequirement], *, total: int
+) -> Iterator[InstallRequirement]:
+    columns = (
+        TextColumn("{task.fields[indent]}"),
+        BarColumn(),
+        MofNCompleteColumn(),
+        TextColumn("{task.description}"),
+    )
+    console = get_console()
+
+    bar = Progress(*columns, refresh_per_second=6, console=console, transient=True)
+    # Hiding the progress bar at initialization forces a refresh cycle to occur
+    # until the bar appears, avoiding very short flashes.
+    task = bar.add_task("", total=total, indent=" " * get_indentation(), visible=False)
+    with bar:
+        for req in iterable:
+            bar.update(task, description=rf"\[{req.name}]", visible=True)
+            yield req
+            bar.advance(task)
+
+
+def _raw_progress_bar(
+    iterable: Iterable[bytes],
+    *,
+    size: int | None,
+    initial_progress: int | None = None,
+) -> Generator[bytes, None, None]:
+    def write_progress(current: int, total: int) -> None:
+        sys.stdout.write(f"Progress {current} of {total}\n")
+        sys.stdout.flush()
+
+    current = initial_progress or 0
+    total = size or 0
+    rate_limiter = RateLimiter(0.25)
+
+    write_progress(current, total)
+    for chunk in iterable:
+        current += len(chunk)
+        if rate_limiter.ready() or current == total:
+            write_progress(current, total)
+            rate_limiter.reset()
+        yield chunk
+
+
+def get_download_progress_renderer(
+    *, bar_type: BarType, size: int | None = None, initial_progress: int | None = None
+) -> ProgressRenderer[bytes]:
+    """Get an object that can be used to render the download progress.
+
+    Returns a callable, that takes an iterable to "wrap".
+    """
+    if bar_type == "on":
+        return functools.partial(
+            _rich_download_progress_bar,
+            bar_type=bar_type,
+            size=size,
+            initial_progress=initial_progress,
+        )
+    elif bar_type == "raw":
+        return functools.partial(
+            _raw_progress_bar,
+            size=size,
+            initial_progress=initial_progress,
+        )
+    else:
+        return iter  # no-op, when passed an iterator
+
+
+def get_install_progress_renderer(
+    *, bar_type: BarType, total: int
+) -> ProgressRenderer[InstallRequirement]:
+    """Get an object that can be used to render the install progress.
+    Returns a callable, that takes an iterable to "wrap".
+    """
+    if bar_type == "on":
+        return functools.partial(_rich_install_progress_bar, total=total)
+    else:
+        return iter
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/req_command.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/req_command.py
new file mode 100644
index 0000000000000000000000000000000000000000..f58a970613f2a52b199fc17ee575361d84807725
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/req_command.py
@@ -0,0 +1,504 @@
+"""Contains the RequirementCommand base class.
+
+This class is in a separate module so the commands that do not always
+need PackageFinder capability don't unnecessarily import the
+PackageFinder machinery and all its vendored dependencies, etc.
+"""
+
+from __future__ import annotations
+
+import logging
+import os
+from collections.abc import Callable
+from functools import partial
+from optparse import Values
+from typing import Any, TypeVar
+
+from pip._internal.build_env import (
+    BuildEnvironmentInstaller,
+    BuildIsolationMode,
+    InprocessBuildEnvironmentInstaller,
+    SubprocessBuildEnvironmentInstaller,
+)
+from pip._internal.cache import WheelCache
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.cmdoptions import make_target_python
+from pip._internal.cli.index_command import IndexGroupCommand
+from pip._internal.cli.index_command import SessionCommandMixin as SessionCommandMixin
+from pip._internal.exceptions import (
+    CommandError,
+    PreviousBuildDirError,
+    UnsupportedPythonVersion,
+)
+from pip._internal.index.collector import LinkCollector
+from pip._internal.index.package_finder import PackageFinder
+from pip._internal.models.selection_prefs import SelectionPreferences
+from pip._internal.models.target_python import TargetPython
+from pip._internal.network.session import PipSession
+from pip._internal.operations.build.build_tracker import BuildTracker
+from pip._internal.operations.prepare import RequirementPreparer
+from pip._internal.req.constructors import (
+    install_req_from_editable,
+    install_req_from_line,
+    install_req_from_parsed_requirement,
+    install_req_from_pylock_package,
+    install_req_from_req_string,
+)
+from pip._internal.req.pep723 import PEP723Exception, pep723_metadata
+from pip._internal.req.req_dependency_group import parse_dependency_groups
+from pip._internal.req.req_file import parse_requirements
+from pip._internal.req.req_install import InstallRequirement
+from pip._internal.resolution.base import BaseResolver
+from pip._internal.utils.packaging import check_requires_python
+from pip._internal.utils.pylock import (
+    is_valid_pylock_filename,
+    select_from_pylock_path_or_url,
+)
+from pip._internal.utils.temp_dir import (
+    TempDirectory,
+    TempDirectoryTypeRegistry,
+    tempdir_kinds,
+)
+
+logger = logging.getLogger(__name__)
+
+
+def should_ignore_regular_constraints() -> bool:
+    """
+    Whether this process should ignore the regular constraints it inherits.
+
+    The parent pip sets ``_PIP_IN_BUILD_IGNORE_CONSTRAINTS`` whenever it starts
+    an isolated build in a subprocess, so that regular constraints the build
+    inherits (such as via ``PIP_CONSTRAINT`` or config files) do not affect it.
+    Only build constraints apply there.
+    """
+
+    return os.environ.get("_PIP_IN_BUILD_IGNORE_CONSTRAINTS") == "1"
+
+
+KEEPABLE_TEMPDIR_TYPES = [
+    tempdir_kinds.BUILD_ENV,
+    tempdir_kinds.EPHEM_WHEEL_CACHE,
+    tempdir_kinds.REQ_BUILD,
+]
+
+
+_CommandT = TypeVar("_CommandT", bound="RequirementCommand")
+
+
+def with_cleanup(
+    func: Callable[[_CommandT, Values, list[str]], int],
+) -> Callable[[_CommandT, Values, list[str]], int]:
+    """Decorator for common logic related to managing temporary
+    directories.
+    """
+
+    def configure_tempdir_registry(registry: TempDirectoryTypeRegistry) -> None:
+        for t in KEEPABLE_TEMPDIR_TYPES:
+            registry.set_delete(t, False)
+
+    def wrapper(self: _CommandT, options: Values, args: list[str]) -> int:
+        assert self.tempdir_registry is not None
+        if options.no_clean:
+            configure_tempdir_registry(self.tempdir_registry)
+
+        try:
+            return func(self, options, args)
+        except PreviousBuildDirError:
+            # This kind of conflict can occur when the user passes an explicit
+            # build directory with a pre-existing folder. In that case we do
+            # not want to accidentally remove it.
+            configure_tempdir_registry(self.tempdir_registry)
+            raise
+
+    return wrapper
+
+
+def parse_constraint_files(
+    constraint_files: list[str],
+    finder: PackageFinder,
+    options: Values,
+    session: PipSession,
+) -> list[InstallRequirement]:
+    requirements = []
+    for filename in constraint_files:
+        for parsed_req in parse_requirements(
+            filename,
+            constraint=True,
+            finder=finder,
+            options=options,
+            session=session,
+        ):
+            req_to_add = install_req_from_parsed_requirement(
+                parsed_req,
+                isolated=options.isolated_mode,
+                user_supplied=False,
+            )
+            requirements.append(req_to_add)
+
+    return requirements
+
+
+class RequirementCommand(IndexGroupCommand):
+    def __init__(self, *args: Any, **kw: Any) -> None:
+        super().__init__(*args, **kw)
+
+        self.cmd_opts.add_option(cmdoptions.dependency_groups())
+        self.cmd_opts.add_option(cmdoptions.no_clean())
+
+    @staticmethod
+    def determine_resolver_variant(options: Values) -> str:
+        """Determines which resolver should be used, based on the given options."""
+        if "legacy-resolver" in options.deprecated_features_enabled:
+            return "legacy"
+
+        return "resolvelib"
+
+    @classmethod
+    def make_requirement_preparer(
+        cls,
+        temp_build_dir: TempDirectory,
+        options: Values,
+        build_tracker: BuildTracker,
+        session: PipSession,
+        finder: PackageFinder,
+        *,
+        allow_editables: bool,
+        use_user_site: bool,
+        download_dir: str | None = None,
+        verbosity: int = 0,
+    ) -> RequirementPreparer:
+        """
+        Create a RequirementPreparer instance for the given parameters.
+        """
+        temp_build_dir_path = temp_build_dir.path
+        assert temp_build_dir_path is not None
+        legacy_resolver = False
+
+        resolver_variant = cls.determine_resolver_variant(options)
+        if resolver_variant == "resolvelib":
+            lazy_wheel = "fast-deps" in options.features_enabled
+            if lazy_wheel:
+                logger.warning(
+                    "pip is using lazily downloaded wheels using HTTP "
+                    "range requests to obtain dependency information. "
+                    "This experimental feature is enabled through "
+                    "--use-feature=fast-deps and it is not ready for "
+                    "production."
+                )
+        else:
+            legacy_resolver = True
+            lazy_wheel = False
+            if "fast-deps" in options.features_enabled:
+                logger.warning(
+                    "fast-deps has no effect when used with the legacy resolver."
+                )
+
+        # Handle build constraints
+        build_constraints = getattr(options, "build_constraints", [])
+
+        env_installer: BuildEnvironmentInstaller
+        if "inprocess-build-deps" in options.features_enabled:
+            build_constraint_reqs = parse_constraint_files(
+                build_constraints, finder, options, session
+            )
+            env_installer = InprocessBuildEnvironmentInstaller(
+                finder=finder,
+                build_tracker=build_tracker,
+                build_constraints=build_constraint_reqs,
+                verbosity=verbosity,
+                wheel_cache=WheelCache(options.cache_dir),
+            )
+        else:
+            env_installer = SubprocessBuildEnvironmentInstaller(
+                finder,
+                build_constraints=build_constraints,
+            )
+
+        if not options.build_isolation:
+            build_isolation: BuildIsolationMode = "off"
+        elif "venv-isolation" in options.features_enabled:
+            build_isolation = "venv"
+            if "inprocess-build-deps" in options.features_enabled:
+                logger.warning(
+                    "Using --use-feature 'inprocess-build-deps' and 'venv-isolation'"
+                    " together is currently partially supported. If you encounter"
+                    " broken behaviour, use only one feature."
+                )
+        else:
+            build_isolation = "virtual"
+
+        return RequirementPreparer(
+            build_dir=temp_build_dir_path,
+            src_dir=options.src_dir,
+            download_dir=download_dir,
+            build_isolation=build_isolation,
+            build_isolation_installer=env_installer,
+            check_build_deps=options.check_build_deps,
+            build_tracker=build_tracker,
+            session=session,
+            progress_bar=options.progress_bar,
+            finder=finder,
+            require_hashes=options.require_hashes,
+            use_user_site=use_user_site,
+            lazy_wheel=lazy_wheel,
+            verbosity=verbosity,
+            legacy_resolver=legacy_resolver,
+            allow_editables=allow_editables,
+        )
+
+    @classmethod
+    def make_resolver(
+        cls,
+        preparer: RequirementPreparer,
+        finder: PackageFinder,
+        options: Values,
+        wheel_cache: WheelCache | None = None,
+        use_user_site: bool = False,
+        ignore_installed: bool = True,
+        ignore_requires_python: bool = False,
+        force_reinstall: bool = False,
+        upgrade_strategy: str = "to-satisfy-only",
+        py_version_info: tuple[int, ...] | None = None,
+    ) -> BaseResolver:
+        """
+        Create a Resolver instance for the given parameters.
+        """
+        make_install_req = partial(
+            install_req_from_req_string,
+            isolated=options.isolated_mode,
+        )
+        resolver_variant = cls.determine_resolver_variant(options)
+        # The long import name and duplicated invocation is needed to convince
+        # Mypy into correctly typechecking. Otherwise it would complain the
+        # "Resolver" class being redefined.
+        if resolver_variant == "resolvelib":
+            import pip._internal.resolution.resolvelib.resolver
+
+            return pip._internal.resolution.resolvelib.resolver.Resolver(
+                preparer=preparer,
+                finder=finder,
+                wheel_cache=wheel_cache,
+                make_install_req=make_install_req,
+                use_user_site=use_user_site,
+                ignore_dependencies=options.ignore_dependencies,
+                only_dependencies=options.only_dependencies,
+                ignore_installed=ignore_installed,
+                ignore_requires_python=ignore_requires_python,
+                force_reinstall=force_reinstall,
+                upgrade_strategy=upgrade_strategy,
+                py_version_info=py_version_info,
+            )
+        import pip._internal.resolution.legacy.resolver
+
+        return pip._internal.resolution.legacy.resolver.Resolver(
+            preparer=preparer,
+            finder=finder,
+            wheel_cache=wheel_cache,
+            make_install_req=make_install_req,
+            use_user_site=use_user_site,
+            ignore_dependencies=options.ignore_dependencies,
+            only_dependencies=options.only_dependencies,
+            ignore_installed=ignore_installed,
+            ignore_requires_python=ignore_requires_python,
+            force_reinstall=force_reinstall,
+            upgrade_strategy=upgrade_strategy,
+            py_version_info=py_version_info,
+        )
+
+    def get_requirements(
+        self,
+        args: list[str],
+        options: Values,
+        finder: PackageFinder,
+        session: PipSession,
+    ) -> list[InstallRequirement]:
+        """
+        Parse command-line arguments into the corresponding requirements.
+        """
+        requirements: list[InstallRequirement] = []
+
+        if should_ignore_regular_constraints():
+            # Inside an isolated build subprocess: apply the build constraints
+            # (forwarded via --build-constraint) instead of the inherited ones.
+            constraint_files = getattr(options, "build_constraints", [])
+        else:
+            constraint_files = options.constraints
+
+        constraints = parse_constraint_files(constraint_files, finder, options, session)
+        requirements.extend(constraints)
+
+        for req in args:
+            if not req.strip():
+                continue
+            req_to_add = install_req_from_line(
+                req,
+                comes_from=None,
+                isolated=options.isolated_mode,
+                user_supplied=True,
+                config_settings=getattr(options, "config_settings", None),
+            )
+            requirements.append(req_to_add)
+
+        if options.dependency_groups:
+            for req in parse_dependency_groups(options.dependency_groups):
+                req_to_add = install_req_from_req_string(
+                    req,
+                    isolated=options.isolated_mode,
+                    user_supplied=True,
+                )
+                requirements.append(req_to_add)
+
+        for req in options.editables:
+            req_to_add = install_req_from_editable(
+                req,
+                user_supplied=True,
+                isolated=options.isolated_mode,
+                config_settings=getattr(options, "config_settings", None),
+            )
+            requirements.append(req_to_add)
+
+        # NOTE: options.require_hashes may be set if --require-hashes is True
+        for filename in options.requirements:
+            if is_valid_pylock_filename(filename):
+                logger.warning(
+                    "Using pylock.toml as a requirements source "
+                    "is an experimental feature. "
+                    "It may be removed/changed in a future release "
+                    "without prior warning."
+                )
+                for package, package_dist in select_from_pylock_path_or_url(
+                    filename, session=session
+                ):
+                    req_to_add, locked_link = install_req_from_pylock_package(
+                        package,
+                        package_dist,
+                        filename,
+                        user_supplied=True,
+                    )
+                    requirements.append(req_to_add)
+                    if locked_link:
+                        finder.add_locked_link(package.name, locked_link)
+                continue
+            for parsed_req in parse_requirements(
+                filename, finder=finder, options=options, session=session
+            ):
+                req_to_add = install_req_from_parsed_requirement(
+                    parsed_req,
+                    isolated=options.isolated_mode,
+                    user_supplied=True,
+                    config_settings=(
+                        parsed_req.options.get("config_settings")
+                        if parsed_req.options
+                        else None
+                    ),
+                )
+                requirements.append(req_to_add)
+
+        if options.requirements_from_scripts:
+            if len(options.requirements_from_scripts) > 1:
+                raise CommandError("--requirements-from-script can only be given once")
+
+            script = options.requirements_from_scripts[0]
+            try:
+                script_metadata = pep723_metadata(script)
+            except PEP723Exception as exc:
+                raise CommandError(exc.msg)
+
+            script_requires_python = script_metadata.get("requires-python", "")
+
+            if script_requires_python and not options.ignore_requires_python:
+                target_python = make_target_python(options)
+
+                if not check_requires_python(
+                    requires_python=script_requires_python,
+                    version_info=target_python.py_version_info,
+                ):
+                    raise UnsupportedPythonVersion(
+                        f"Script {script!r} requires a different Python: "
+                        f"{target_python.py_version} not in {script_requires_python!r}"
+                    )
+
+            for req in script_metadata.get("dependencies", []):
+                req_to_add = install_req_from_req_string(
+                    req,
+                    isolated=options.isolated_mode,
+                    user_supplied=True,
+                )
+                requirements.append(req_to_add)
+
+        if options.require_hashes and options.no_require_hashes:
+            raise CommandError(
+                "--require-hashes and --no-require-hashes are mutually exclusive"
+            )
+
+        # If any requirement has hash options, enable hash checking for all
+        # requirements, unless this mechanism has been explicitly disabled
+        # with --no-require-hashes.
+        if not options.no_require_hashes and any(
+            req.has_hash_options for req in requirements
+        ):
+            options.require_hashes = True
+
+        if not (
+            args
+            or options.editables
+            or options.requirements
+            or options.dependency_groups
+            or options.requirements_from_scripts
+        ):
+            opts = {"name": self.name}
+            if options.find_links:
+                raise CommandError(
+                    "You must give at least one requirement to {name} "
+                    '(maybe you meant "pip {name} {links}"?)'.format(
+                        **dict(opts, links=" ".join(options.find_links))
+                    )
+                )
+            else:
+                raise CommandError(
+                    "You must give at least one requirement to {name} "
+                    '(see "pip help {name}")'.format(**opts)
+                )
+
+        return requirements
+
+    @staticmethod
+    def trace_basic_info(finder: PackageFinder) -> None:
+        """
+        Trace basic information about the provided objects.
+        """
+        # Display where finder is looking for packages
+        search_scope = finder.search_scope
+        locations = search_scope.get_formatted_locations()
+        if locations:
+            logger.info(locations)
+
+    def _build_package_finder(
+        self,
+        options: Values,
+        session: PipSession,
+        target_python: TargetPython | None = None,
+        ignore_requires_python: bool = False,
+    ) -> PackageFinder:
+        """
+        Create a package finder appropriate to this requirement command.
+
+        :param ignore_requires_python: Whether to ignore incompatible
+            "Requires-Python" values in links. Defaults to False.
+        """
+        link_collector = LinkCollector.create(session, options=options)
+        selection_prefs = SelectionPreferences(
+            allow_yanked=True,
+            format_control=options.format_control,
+            release_control=options.release_control,
+            prefer_binary=options.prefer_binary,
+            ignore_requires_python=ignore_requires_python,
+        )
+
+        return PackageFinder.create(
+            link_collector=link_collector,
+            selection_prefs=selection_prefs,
+            target_python=target_python,
+            uploaded_prior_to=options.uploaded_prior_to,
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/spinners.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/spinners.py
new file mode 100644
index 0000000000000000000000000000000000000000..58aad2853ddcb3ea1fb086d8b811ed2cdab04fb4
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/spinners.py
@@ -0,0 +1,235 @@
+from __future__ import annotations
+
+import contextlib
+import itertools
+import logging
+import sys
+import time
+from collections.abc import Generator
+from typing import IO, Final
+
+from pip._vendor.rich.console import (
+    Console,
+    ConsoleOptions,
+    RenderableType,
+    RenderResult,
+)
+from pip._vendor.rich.live import Live
+from pip._vendor.rich.measure import Measurement
+from pip._vendor.rich.text import Text
+
+from pip._internal.utils.compat import WINDOWS
+from pip._internal.utils.logging import get_console, get_indentation
+
+logger = logging.getLogger(__name__)
+
+SPINNER_CHARS: Final = r"-\|/"
+SPINS_PER_SECOND: Final = 8
+
+
+class SpinnerInterface:
+    def spin(self) -> None:
+        raise NotImplementedError()
+
+    def finish(self, final_status: str) -> None:
+        raise NotImplementedError()
+
+
+class InteractiveSpinner(SpinnerInterface):
+    def __init__(
+        self,
+        message: str,
+        file: IO[str] | None = None,
+        spin_chars: str = SPINNER_CHARS,
+        # Empirically, 8 updates/second looks nice
+        min_update_interval_seconds: float = 1 / SPINS_PER_SECOND,
+    ):
+        self._message = message
+        if file is None:
+            file = sys.stdout
+        self._file = file
+        self._rate_limiter = RateLimiter(min_update_interval_seconds)
+        self._finished = False
+
+        self._spin_cycle = itertools.cycle(spin_chars)
+
+        self._file.write(" " * get_indentation() + self._message + " ... ")
+        self._width = 0
+
+    def _write(self, status: str) -> None:
+        assert not self._finished
+        # Erase what we wrote before by backspacing to the beginning, writing
+        # spaces to overwrite the old text, and then backspacing again
+        backup = "\b" * self._width
+        self._file.write(backup + " " * self._width + backup)
+        # Now we have a blank slate to add our status
+        self._file.write(status)
+        self._width = len(status)
+        self._file.flush()
+        self._rate_limiter.reset()
+
+    def spin(self) -> None:
+        if self._finished:
+            return
+        if not self._rate_limiter.ready():
+            return
+        self._write(next(self._spin_cycle))
+
+    def finish(self, final_status: str) -> None:
+        if self._finished:
+            return
+        self._write(final_status)
+        self._file.write("\n")
+        self._file.flush()
+        self._finished = True
+
+
+# Used for dumb terminals, non-interactive installs (no tty), etc.
+# We still print updates occasionally (once every 60 seconds by default) to
+# act as a keep-alive for systems like Travis-CI that take lack-of-output as
+# an indication that a task has frozen.
+class NonInteractiveSpinner(SpinnerInterface):
+    def __init__(self, message: str, min_update_interval_seconds: float = 60.0) -> None:
+        self._message = message
+        self._finished = False
+        self._rate_limiter = RateLimiter(min_update_interval_seconds)
+        self._update("started")
+
+    def _update(self, status: str) -> None:
+        assert not self._finished
+        self._rate_limiter.reset()
+        logger.info("%s: %s", self._message, status)
+
+    def spin(self) -> None:
+        if self._finished:
+            return
+        if not self._rate_limiter.ready():
+            return
+        self._update("still running...")
+
+    def finish(self, final_status: str) -> None:
+        if self._finished:
+            return
+        self._update(f"finished with status '{final_status}'")
+        self._finished = True
+
+
+class RateLimiter:
+    def __init__(self, min_update_interval_seconds: float) -> None:
+        self._min_update_interval_seconds = min_update_interval_seconds
+        self._last_update: float = 0
+
+    def ready(self) -> bool:
+        now = time.time()
+        delta = now - self._last_update
+        return delta >= self._min_update_interval_seconds
+
+    def reset(self) -> None:
+        self._last_update = time.time()
+
+
+@contextlib.contextmanager
+def open_spinner(message: str) -> Generator[SpinnerInterface, None, None]:
+    # Interactive spinner goes directly to sys.stdout rather than being routed
+    # through the logging system, but it acts like it has level INFO,
+    # i.e. it's only displayed if we're at level INFO or better.
+    # Non-interactive spinner goes through the logging system, so it is always
+    # in sync with logging configuration.
+    if sys.stdout.isatty() and logger.getEffectiveLevel() <= logging.INFO:
+        spinner: SpinnerInterface = InteractiveSpinner(message)
+    else:
+        spinner = NonInteractiveSpinner(message)
+    try:
+        with hidden_cursor(sys.stdout):
+            yield spinner
+    except KeyboardInterrupt:
+        spinner.finish("canceled")
+        raise
+    except Exception:
+        spinner.finish("error")
+        raise
+    else:
+        spinner.finish("done")
+
+
+class _PipRichSpinner:
+    """
+    Custom rich spinner that matches the style of the legacy spinners.
+
+    (*) Updates will be handled in a background thread by a rich live panel
+        which will call render() automatically at the appropriate time.
+    """
+
+    def __init__(self, label: str) -> None:
+        self.label = label
+        self._spin_cycle = itertools.cycle(SPINNER_CHARS)
+        self._spinner_text = ""
+        self._finished = False
+        self._indent = get_indentation() * " "
+
+    def __rich_console__(
+        self, console: Console, options: ConsoleOptions
+    ) -> RenderResult:
+        yield self.render()
+
+    def __rich_measure__(
+        self, console: Console, options: ConsoleOptions
+    ) -> Measurement:
+        text = self.render()
+        return Measurement.get(console, options, text)
+
+    def render(self) -> RenderableType:
+        if not self._finished:
+            self._spinner_text = next(self._spin_cycle)
+
+        return Text.assemble(self._indent, self.label, " ... ", self._spinner_text)
+
+    def finish(self, status: str) -> None:
+        """Stop spinning and set a final status message."""
+        self._spinner_text = status
+        self._finished = True
+
+
+@contextlib.contextmanager
+def open_rich_spinner(label: str, console: Console | None = None) -> Generator[None]:
+    if not logger.isEnabledFor(logging.INFO):
+        # Don't show spinner if --quiet is given.
+        yield
+        return
+
+    console = console or get_console()
+    spinner = _PipRichSpinner(label)
+    with Live(spinner, refresh_per_second=SPINS_PER_SECOND, console=console):
+        try:
+            yield
+        except KeyboardInterrupt:
+            spinner.finish("canceled")
+            raise
+        except Exception:
+            spinner.finish("error")
+            raise
+        else:
+            spinner.finish("done")
+
+
+HIDE_CURSOR = "\x1b[?25l"
+SHOW_CURSOR = "\x1b[?25h"
+
+
+@contextlib.contextmanager
+def hidden_cursor(file: IO[str]) -> Generator[None, None, None]:
+    # The Windows terminal does not support the hide/show cursor ANSI codes,
+    # even via colorama. So don't even try.
+    if WINDOWS:
+        yield
+    # We don't want to clutter the output with control characters if we're
+    # writing to a file, or if the user is running with --quiet.
+    # See https://github.com/pypa/pip/issues/3418
+    elif not file.isatty() or logger.getEffectiveLevel() > logging.INFO:
+        yield
+    else:
+        file.write(HIDE_CURSOR)
+        try:
+            yield
+        finally:
+            file.write(SHOW_CURSOR)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/status_codes.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/status_codes.py
new file mode 100644
index 0000000000000000000000000000000000000000..2b2ecabc327fa09fd64dfda96e69a68c355978c2
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/cli/status_codes.py
@@ -0,0 +1,7 @@
+SUCCESS = 0
+ERROR = 1
+UNKNOWN_ERROR = 2
+VIRTUALENV_NOT_FOUND = 3
+PREVIOUS_BUILD_DIR_ERROR = 4
+NO_MATCHES_FOUND = 23
+BROKEN_STDOUT = 120
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..bedeca9e9508859623b95ad104840578834c15b2
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/__init__.py
@@ -0,0 +1,139 @@
+"""
+Package containing all pip commands
+"""
+
+from __future__ import annotations
+
+import importlib
+from collections import namedtuple
+from typing import Any
+
+from pip._internal.cli.base_command import Command
+
+CommandInfo = namedtuple("CommandInfo", "module_path, class_name, summary")
+
+# This dictionary does a bunch of heavy lifting for help output:
+# - Enables avoiding additional (costly) imports for presenting `--help`.
+# - The ordering matters for help display.
+#
+# Even though the module path starts with the same "pip._internal.commands"
+# prefix, the full path makes testing easier (specifically when modifying
+# `commands_dict` in test setup / teardown).
+commands_dict: dict[str, CommandInfo] = {
+    "install": CommandInfo(
+        "pip._internal.commands.install",
+        "InstallCommand",
+        "Install packages.",
+    ),
+    "lock": CommandInfo(
+        "pip._internal.commands.lock",
+        "LockCommand",
+        "Generate a lock file.",
+    ),
+    "download": CommandInfo(
+        "pip._internal.commands.download",
+        "DownloadCommand",
+        "Download packages.",
+    ),
+    "uninstall": CommandInfo(
+        "pip._internal.commands.uninstall",
+        "UninstallCommand",
+        "Uninstall packages.",
+    ),
+    "freeze": CommandInfo(
+        "pip._internal.commands.freeze",
+        "FreezeCommand",
+        "Output installed packages in requirements format.",
+    ),
+    "inspect": CommandInfo(
+        "pip._internal.commands.inspect",
+        "InspectCommand",
+        "Inspect the python environment.",
+    ),
+    "list": CommandInfo(
+        "pip._internal.commands.list",
+        "ListCommand",
+        "List installed packages.",
+    ),
+    "show": CommandInfo(
+        "pip._internal.commands.show",
+        "ShowCommand",
+        "Show information about installed packages.",
+    ),
+    "check": CommandInfo(
+        "pip._internal.commands.check",
+        "CheckCommand",
+        "Verify installed packages have compatible dependencies.",
+    ),
+    "config": CommandInfo(
+        "pip._internal.commands.configuration",
+        "ConfigurationCommand",
+        "Manage local and global configuration.",
+    ),
+    "search": CommandInfo(
+        "pip._internal.commands.search",
+        "SearchCommand",
+        "Search PyPI for packages.",
+    ),
+    "cache": CommandInfo(
+        "pip._internal.commands.cache",
+        "CacheCommand",
+        "Inspect and manage pip's wheel cache.",
+    ),
+    "index": CommandInfo(
+        "pip._internal.commands.index",
+        "IndexCommand",
+        "Inspect information available from package indexes.",
+    ),
+    "wheel": CommandInfo(
+        "pip._internal.commands.wheel",
+        "WheelCommand",
+        "Build wheels from your requirements.",
+    ),
+    "hash": CommandInfo(
+        "pip._internal.commands.hash",
+        "HashCommand",
+        "Compute hashes of package archives.",
+    ),
+    "completion": CommandInfo(
+        "pip._internal.commands.completion",
+        "CompletionCommand",
+        "A helper command used for command completion.",
+    ),
+    "debug": CommandInfo(
+        "pip._internal.commands.debug",
+        "DebugCommand",
+        "Show information useful for debugging.",
+    ),
+    "help": CommandInfo(
+        "pip._internal.commands.help",
+        "HelpCommand",
+        "Show help for commands.",
+    ),
+}
+
+
+def create_command(name: str, **kwargs: Any) -> Command:
+    """
+    Create an instance of the Command class with the given name.
+    """
+    module_path, class_name, summary = commands_dict[name]
+    module = importlib.import_module(module_path)
+    command_class = getattr(module, class_name)
+    command = command_class(name=name, summary=summary, **kwargs)
+
+    return command
+
+
+def get_similar_commands(name: str) -> str | None:
+    """Command name auto-correct."""
+    from difflib import get_close_matches
+
+    name = name.lower()
+
+    close_commands = get_close_matches(name, commands_dict.keys())
+
+    if close_commands:
+        return close_commands[0]
+    else:
+        return None
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--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/cache.py
@@ -0,0 +1,256 @@
+import os
+import textwrap
+from collections.abc import Callable
+from optparse import Values
+
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.status_codes import ERROR, SUCCESS
+from pip._internal.exceptions import CommandError, PipError
+from pip._internal.utils import filesystem
+from pip._internal.utils.logging import getLogger
+from pip._internal.utils.misc import format_size
+
+logger = getLogger(__name__)
+
+
+class CacheCommand(Command):
+    """
+    Inspect and manage pip's wheel cache.
+
+    Subcommands:
+
+    - dir: Show the cache directory.
+    - info: Show information about the cache.
+    - list: List filenames of packages stored in the cache.
+    - remove: Remove one or more package from the cache.
+    - purge: Remove all items from the cache.
+
+    ```` can be a glob expression or a package name.
+    """
+
+    ignore_require_venv = True
+    usage = """
+        %prog dir
+        %prog info
+        %prog list [] [--format=[human, abspath]]
+        %prog remove 
+        %prog purge
+    """
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            "--format",
+            action="store",
+            dest="list_format",
+            default="human",
+            choices=("human", "abspath"),
+            help="Select the output format among: human (default) or abspath",
+        )
+
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    def handler_map(self) -> dict[str, Callable[[Values, list[str]], None]]:
+        return {
+            "dir": self.get_cache_dir,
+            "info": self.get_cache_info,
+            "list": self.list_cache_items,
+            "remove": self.remove_cache_items,
+            "purge": self.purge_cache,
+        }
+
+    def run(self, options: Values, args: list[str]) -> int:
+        handler_map = self.handler_map()
+
+        if not options.cache_dir:
+            logger.error("pip cache commands can not function since cache is disabled.")
+            return ERROR
+
+        # Determine action
+        if not args or args[0] not in handler_map:
+            logger.error(
+                "Need an action (%s) to perform.",
+                ", ".join(sorted(handler_map)),
+            )
+            return ERROR
+
+        action = args[0]
+
+        # Error handling happens here, not in the action-handlers.
+        try:
+            handler_map[action](options, args[1:])
+        except PipError as e:
+            logger.error(e.args[0])
+            return ERROR
+
+        return SUCCESS
+
+    def get_cache_dir(self, options: Values, args: list[str]) -> None:
+        if args:
+            raise CommandError("Too many arguments")
+
+        logger.info(options.cache_dir)
+
+    def get_cache_info(self, options: Values, args: list[str]) -> None:
+        if args:
+            raise CommandError("Too many arguments")
+
+        num_http_files = len(self._find_http_files(options))
+        num_packages = len(self._find_wheels(options, "*"))
+
+        http_cache_location = self._cache_dir(options, "http-v2")
+        old_http_cache_location = self._cache_dir(options, "http")
+        wheels_cache_location = self._cache_dir(options, "wheels")
+        http_cache_size = filesystem.format_size(
+            filesystem.directory_size(http_cache_location)
+            + filesystem.directory_size(old_http_cache_location)
+        )
+        wheels_cache_size = filesystem.format_directory_size(wheels_cache_location)
+
+        message = (
+            textwrap.dedent("""
+                    Package index page cache location (pip v23.3+): {http_cache_location}
+                    Package index page cache location (older pips): {old_http_cache_location}
+                    Package index page cache size: {http_cache_size}
+                    Number of HTTP files: {num_http_files}
+                    Locally built wheels location: {wheels_cache_location}
+                    Locally built wheels size: {wheels_cache_size}
+                    Number of locally built wheels: {package_count}
+                """)  # noqa: E501
+            .format(
+                http_cache_location=http_cache_location,
+                old_http_cache_location=old_http_cache_location,
+                http_cache_size=http_cache_size,
+                num_http_files=num_http_files,
+                wheels_cache_location=wheels_cache_location,
+                package_count=num_packages,
+                wheels_cache_size=wheels_cache_size,
+            )
+            .strip()
+        )
+
+        logger.info(message)
+
+    def list_cache_items(self, options: Values, args: list[str]) -> None:
+        if len(args) > 1:
+            raise CommandError("Too many arguments")
+
+        if args:
+            pattern = args[0]
+        else:
+            pattern = "*"
+
+        files = self._find_wheels(options, pattern)
+        if options.list_format == "human":
+            self.format_for_human(files)
+        else:
+            self.format_for_abspath(files)
+
+    def format_for_human(self, files: list[str]) -> None:
+        if not files:
+            logger.info("No locally built wheels cached.")
+            return
+
+        results = []
+        for filename in files:
+            wheel = os.path.basename(filename)
+            size = filesystem.format_file_size(filename)
+            results.append(f" - {wheel} ({size})")
+        logger.info("Cache contents:\n")
+        logger.info("\n".join(sorted(results)))
+
+    def format_for_abspath(self, files: list[str]) -> None:
+        if files:
+            logger.info("\n".join(sorted(files)))
+
+    def remove_cache_items(self, options: Values, args: list[str]) -> None:
+        if len(args) > 1:
+            raise CommandError("Too many arguments")
+
+        if not args:
+            raise CommandError("Please provide a pattern")
+
+        files = self._find_wheels(options, args[0])
+
+        no_matching_msg = "No matching packages"
+        if args[0] == "*":
+            # Only fetch http files if no specific pattern given
+            files += self._find_http_files(options)
+        else:
+            # Add the pattern to the log message
+            no_matching_msg += f' for pattern "{args[0]}"'
+
+        if not files:
+            logger.warning(no_matching_msg)
+
+        bytes_removed = 0
+        for filename in files:
+            bytes_removed += os.stat(filename).st_size
+            os.unlink(filename)
+            logger.verbose("Removed %s", filename)
+
+        http_dirs = filesystem.subdirs_without_files(self._cache_dir(options, "http"))
+        http_v2_dirs = filesystem.subdirs_without_files(
+            self._cache_dir(options, "http-v2")
+        )
+        wheel_dirs = filesystem.subdirs_without_wheels(
+            self._cache_dir(options, "wheels")
+        )
+        dirs = [*http_dirs, *http_v2_dirs, *wheel_dirs]
+
+        for subdir in dirs:
+            try:
+                for file in subdir.iterdir():
+                    file.unlink(missing_ok=True)
+                subdir.rmdir()
+            except FileNotFoundError:
+                # If the directory is already gone, that's fine.
+                pass
+            logger.verbose("Removed %s", subdir)
+
+        # selfcheck.json is no longer used by pip.
+        selfcheck_json = self._cache_dir(options, "selfcheck.json")
+        if os.path.isfile(selfcheck_json):
+            os.remove(selfcheck_json)
+            logger.verbose("Removed legacy selfcheck.json file")
+
+        logger.info("Files removed: %s (%s)", len(files), format_size(bytes_removed))
+        logger.info("Directories removed: %s", len(dirs))
+
+    def purge_cache(self, options: Values, args: list[str]) -> None:
+        if args:
+            raise CommandError("Too many arguments")
+
+        return self.remove_cache_items(options, ["*"])
+
+    def _cache_dir(self, options: Values, subdir: str) -> str:
+        return os.path.join(options.cache_dir, subdir)
+
+    def _find_http_files(self, options: Values) -> list[str]:
+        old_http_dir = self._cache_dir(options, "http")
+        new_http_dir = self._cache_dir(options, "http-v2")
+        return filesystem.find_files(old_http_dir, "*") + filesystem.find_files(
+            new_http_dir, "*"
+        )
+
+    def _find_wheels(self, options: Values, pattern: str) -> list[str]:
+        wheel_dir = self._cache_dir(options, "wheels")
+
+        # The wheel filename format, as specified in PEP 427, is:
+        #     {distribution}-{version}(-{build})?-{python}-{abi}-{platform}.whl
+        #
+        # Additionally, non-alphanumeric values in the distribution are
+        # normalized to underscores (_), meaning hyphens can never occur
+        # before `-{version}`.
+        #
+        # Given that information:
+        # - If the pattern we're given contains a hyphen (-), the user is
+        #   providing at least the version. Thus, we can just append `*.whl`
+        #   to match the rest of it.
+        # - If the pattern we're given doesn't contain a hyphen (-), the
+        #   user is only providing the name. Thus, we append `-*.whl` to
+        #   match the hyphen before the version, followed by anything else.
+        #
+        # PEP 427: https://www.python.org/dev/peps/pep-0427/
+        pattern = pattern + ("*.whl" if "-" in pattern else "-*.whl")
+
+        return filesystem.find_files(wheel_dir, pattern)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/check.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/check.py
new file mode 100644
index 0000000000000000000000000000000000000000..516757eead7ad90f375cc3b9117328b73e13ee16
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/check.py
@@ -0,0 +1,66 @@
+import logging
+from optparse import Values
+
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.status_codes import ERROR, SUCCESS
+from pip._internal.metadata import get_default_environment
+from pip._internal.operations.check import (
+    check_package_set,
+    check_unsupported,
+    create_package_set_from_installed,
+)
+from pip._internal.utils.compatibility_tags import get_supported
+from pip._internal.utils.misc import write_output
+
+logger = logging.getLogger(__name__)
+
+
+class CheckCommand(Command):
+    """Verify installed packages have compatible dependencies."""
+
+    ignore_require_venv = True
+    usage = """
+      %prog [options]"""
+
+    def run(self, options: Values, args: list[str]) -> int:
+        package_set, parsing_probs = create_package_set_from_installed()
+        missing, conflicting = check_package_set(package_set)
+        unsupported = list(
+            check_unsupported(
+                get_default_environment().iter_installed_distributions(),
+                get_supported(),
+            )
+        )
+
+        for project_name in missing:
+            version = package_set[project_name].version
+            for dependency in missing[project_name]:
+                write_output(
+                    "%s %s requires %s, which is not installed.",
+                    project_name,
+                    version,
+                    dependency[0],
+                )
+
+        for project_name in conflicting:
+            version = package_set[project_name].version
+            for dep_name, dep_version, req in conflicting[project_name]:
+                write_output(
+                    "%s %s has requirement %s, but you have %s %s.",
+                    project_name,
+                    version,
+                    req,
+                    dep_name,
+                    dep_version,
+                )
+        for package in unsupported:
+            write_output(
+                "%s %s is not supported on this platform",
+                package.raw_name,
+                package.version,
+            )
+        if missing or conflicting or parsing_probs or unsupported:
+            return ERROR
+        else:
+            write_output("No broken requirements found.")
+            return SUCCESS
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/completion.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/completion.py
new file mode 100644
index 0000000000000000000000000000000000000000..7ba205d726339f38cd758a120e60a4297254f0a7
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/completion.py
@@ -0,0 +1,136 @@
+import sys
+import textwrap
+from optparse import Values
+
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.status_codes import SUCCESS
+from pip._internal.utils.misc import get_prog
+
+BASE_COMPLETION = """
+# pip {shell} completion start{script}# pip {shell} completion end
+"""
+
+COMPLETION_SCRIPTS = {
+    "bash": """
+        _pip_completion()
+        {{
+            local IFS=$' \\t\\n'
+            COMPREPLY=( $( COMP_WORDS="${{COMP_WORDS[*]}}" \\
+                           COMP_CWORD=$COMP_CWORD \\
+                           PIP_AUTO_COMPLETE=1 "$1" 2>/dev/null ) )
+        }}
+        complete -o default -F _pip_completion {prog}
+    """,
+    "zsh": """
+        #compdef -P pip[0-9.]#
+        __pip() {{
+          compadd $( COMP_WORDS="$words[*]" \\
+                     COMP_CWORD=$((CURRENT-1)) \\
+                     PIP_AUTO_COMPLETE=1 $words[1] 2>/dev/null )
+        }}
+        if [[ $zsh_eval_context[-1] == loadautofunc ]]; then
+          # autoload from fpath, call function directly
+          __pip "$@"
+        else
+          # eval/source/. command, register function for later
+          compdef __pip -P 'pip[0-9.]#'
+        fi
+    """,
+    "fish": """
+        function __fish_complete_pip
+            set -lx COMP_WORDS \\
+                (commandline --current-process --tokenize --cut-at-cursor) \\
+                (commandline --current-token --cut-at-cursor)
+            set -lx COMP_CWORD (math (count $COMP_WORDS) - 1)
+            set -lx PIP_AUTO_COMPLETE 1
+            set -l completions
+            if string match -q '2.*' $version
+                set completions (eval $COMP_WORDS[1])
+            else
+                set completions ($COMP_WORDS[1])
+            end
+            string split \\  -- $completions
+        end
+        complete -fa "(__fish_complete_pip)" -c {prog}
+    """,
+    "powershell": """
+        if ((Test-Path Function:\\TabExpansion) -and -not `
+            (Test-Path Function:\\_pip_completeBackup)) {{
+            Rename-Item Function:\\TabExpansion _pip_completeBackup
+        }}
+        function TabExpansion($line, $lastWord) {{
+            $lastBlock = [regex]::Split($line, '[|;]')[-1].TrimStart()
+            if ($lastBlock.StartsWith("{prog} ")) {{
+                $Env:COMP_WORDS=$lastBlock
+                $Env:COMP_CWORD=$lastBlock.Split().Length - 1
+                $Env:PIP_AUTO_COMPLETE=1
+                (& {prog}).Split()
+                Remove-Item Env:COMP_WORDS
+                Remove-Item Env:COMP_CWORD
+                Remove-Item Env:PIP_AUTO_COMPLETE
+            }}
+            elseif (Test-Path Function:\\_pip_completeBackup) {{
+                # Fall back on existing tab expansion
+                _pip_completeBackup $line $lastWord
+            }}
+        }}
+    """,
+}
+
+
+class CompletionCommand(Command):
+    """A helper command to be used for command completion."""
+
+    ignore_require_venv = True
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            "--bash",
+            "-b",
+            action="store_const",
+            const="bash",
+            dest="shell",
+            help="Emit completion code for bash",
+        )
+        self.cmd_opts.add_option(
+            "--zsh",
+            "-z",
+            action="store_const",
+            const="zsh",
+            dest="shell",
+            help="Emit completion code for zsh",
+        )
+        self.cmd_opts.add_option(
+            "--fish",
+            "-f",
+            action="store_const",
+            const="fish",
+            dest="shell",
+            help="Emit completion code for fish",
+        )
+        self.cmd_opts.add_option(
+            "--powershell",
+            "-p",
+            action="store_const",
+            const="powershell",
+            dest="shell",
+            help="Emit completion code for powershell",
+        )
+
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    def run(self, options: Values, args: list[str]) -> int:
+        """Prints the completion code of the given shell"""
+        shells = COMPLETION_SCRIPTS.keys()
+        shell_options = ["--" + shell for shell in sorted(shells)]
+        if options.shell in shells:
+            script = textwrap.dedent(
+                COMPLETION_SCRIPTS.get(options.shell, "").format(prog=get_prog())
+            )
+            print(BASE_COMPLETION.format(script=script, shell=options.shell))
+            return SUCCESS
+        else:
+            sys.stderr.write(
+                "ERROR: You must pass {}\n".format(" or ".join(shell_options))
+            )
+            return SUCCESS
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/configuration.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/configuration.py
new file mode 100644
index 0000000000000000000000000000000000000000..4fa860ff9bb5bc78fd98aa3fe5c2e184afc81110
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/configuration.py
@@ -0,0 +1,289 @@
+from __future__ import annotations
+
+import logging
+import os
+import subprocess
+from collections.abc import Callable
+from optparse import Values
+from typing import Any
+
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.status_codes import ERROR, SUCCESS
+from pip._internal.configuration import (
+    Configuration,
+    Kind,
+    get_configuration_files,
+    kinds,
+)
+from pip._internal.exceptions import PipError
+from pip._internal.utils.logging import indent_log
+from pip._internal.utils.misc import get_prog, write_output
+
+logger = logging.getLogger(__name__)
+
+
+class ConfigurationCommand(Command):
+    """
+    Manage local and global configuration.
+
+    Subcommands:
+
+    - list: List the active configuration (or from the file specified)
+    - edit: Edit the configuration file in an editor
+    - get: Get the value associated with command.option
+    - set: Set the command.option=value
+    - unset: Unset the value associated with command.option
+    - debug: List the configuration files and values defined under them
+
+    Configuration keys should be dot separated command and option name,
+    with the special prefix "global" affecting any command. For example,
+    "pip config set global.index-url https://example.org/" would configure
+    the index url for all commands, but "pip config set download.timeout 10"
+    would configure a 10 second timeout only for "pip download" commands.
+
+    If none of --user, --global and --site are passed, a virtual
+    environment configuration file is used if one is active and the file
+    exists. Otherwise, all modifications happen to the user file by
+    default.
+    """
+
+    ignore_require_venv = True
+    usage = """
+        %prog [] list
+        %prog [] [--editor ] edit
+
+        %prog [] get command.option
+        %prog [] set command.option value
+        %prog [] unset command.option
+        %prog [] debug
+    """
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            "--editor",
+            dest="editor",
+            action="store",
+            default=None,
+            help=(
+                "Editor to use to edit the file. Uses VISUAL or EDITOR "
+                "environment variables if not provided."
+            ),
+        )
+
+        self.cmd_opts.add_option(
+            "--global",
+            dest="global_file",
+            action="store_true",
+            default=False,
+            help="Use the system-wide configuration file only",
+        )
+
+        self.cmd_opts.add_option(
+            "--user",
+            dest="user_file",
+            action="store_true",
+            default=False,
+            help="Use the user configuration file only",
+        )
+
+        self.cmd_opts.add_option(
+            "--site",
+            dest="site_file",
+            action="store_true",
+            default=False,
+            help="Use the current environment configuration file only",
+        )
+
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    def handler_map(self) -> dict[str, Callable[[Values, list[str]], None]]:
+        return {
+            "list": self.list_values,
+            "edit": self.open_in_editor,
+            "get": self.get_name,
+            "set": self.set_name_value,
+            "unset": self.unset_name,
+            "debug": self.list_config_values,
+        }
+
+    def run(self, options: Values, args: list[str]) -> int:
+        handler_map = self.handler_map()
+
+        # Determine action
+        if not args or args[0] not in handler_map:
+            logger.error(
+                "Need an action (%s) to perform.",
+                ", ".join(sorted(handler_map)),
+            )
+            return ERROR
+
+        action = args[0]
+
+        # Determine which configuration files are to be loaded
+        #    Depends on whether the command is modifying.
+        try:
+            load_only = self._determine_file(
+                options, need_value=(action in ["get", "set", "unset", "edit"])
+            )
+        except PipError as e:
+            logger.error(e.args[0])
+            return ERROR
+
+        # Load a new configuration
+        self.configuration = Configuration(
+            isolated=options.isolated_mode, load_only=load_only
+        )
+        self.configuration.load()
+
+        # Error handling happens here, not in the action-handlers.
+        try:
+            handler_map[action](options, args[1:])
+        except PipError as e:
+            logger.error(e.args[0])
+            return ERROR
+
+        return SUCCESS
+
+    def _determine_file(self, options: Values, need_value: bool) -> Kind | None:
+        file_options = [
+            key
+            for key, value in (
+                (kinds.USER, options.user_file),
+                (kinds.GLOBAL, options.global_file),
+                (kinds.SITE, options.site_file),
+            )
+            if value
+        ]
+
+        if not file_options:
+            if not need_value:
+                return None
+            # Default to user, unless there's a site file.
+            elif any(
+                os.path.exists(site_config_file)
+                for site_config_file in get_configuration_files()[kinds.SITE]
+            ):
+                return kinds.SITE
+            else:
+                return kinds.USER
+        elif len(file_options) == 1:
+            return file_options[0]
+
+        raise PipError(
+            "Need exactly one file to operate upon "
+            "(--user, --site, --global) to perform."
+        )
+
+    def list_values(self, options: Values, args: list[str]) -> None:
+        self._get_n_args(args, "list", n=0)
+
+        for key, value in sorted(self.configuration.items()):
+            for key, value in sorted(value.items()):
+                write_output("%s=%r", key, value)
+
+    def get_name(self, options: Values, args: list[str]) -> None:
+        key = self._get_n_args(args, "get [name]", n=1)
+        value = self.configuration.get_value(key)
+
+        write_output("%s", value)
+
+    def set_name_value(self, options: Values, args: list[str]) -> None:
+        key, value = self._get_n_args(args, "set [name] [value]", n=2)
+        self.configuration.set_value(key, value)
+
+        self._save_configuration()
+
+    def unset_name(self, options: Values, args: list[str]) -> None:
+        key = self._get_n_args(args, "unset [name]", n=1)
+        self.configuration.unset_value(key)
+
+        self._save_configuration()
+
+    def list_config_values(self, options: Values, args: list[str]) -> None:
+        """List config key-value pairs across different config files"""
+        self._get_n_args(args, "debug", n=0)
+
+        self.print_env_var_values()
+        # Iterate over config files and print if they exist, and the
+        # key-value pairs present in them if they do
+        for variant, files in sorted(self.configuration.iter_config_files()):
+            write_output("%s:", variant)
+            for fname in files:
+                with indent_log():
+                    file_exists = os.path.exists(fname)
+                    write_output("%s, exists: %r", fname, file_exists)
+                    if file_exists:
+                        self.print_config_file_values(variant, fname)
+
+    def print_config_file_values(self, variant: Kind, fname: str) -> None:
+        """Get key-value pairs from the file of a variant"""
+        for name, value in self.configuration.get_values_in_config(variant).items():
+            with indent_log():
+                if name == fname:
+                    for confname, confvalue in value.items():
+                        write_output("%s: %s", confname, confvalue)
+
+    def print_env_var_values(self) -> None:
+        """Get key-values pairs present as environment variables"""
+        write_output("%s:", "env_var")
+        with indent_log():
+            for key, value in sorted(self.configuration.get_environ_vars()):
+                env_var = f"PIP_{key.upper()}"
+                write_output("%s=%r", env_var, value)
+
+    def open_in_editor(self, options: Values, args: list[str]) -> None:
+        editor = self._determine_editor(options)
+
+        fname = self.configuration.get_file_to_edit()
+        if fname is None:
+            raise PipError("Could not determine appropriate file.")
+        elif '"' in fname:
+            # This shouldn't happen, unless we see a username like that.
+            # If that happens, we'd appreciate a pull request fixing this.
+            raise PipError(
+                f'Can not open an editor for a file name containing "\n{fname}'
+            )
+
+        try:
+            subprocess.check_call(f'{editor} "{fname}"', shell=True)
+        except FileNotFoundError as e:
+            if not e.filename:
+                e.filename = editor
+            raise
+        except subprocess.CalledProcessError as e:
+            raise PipError(f"Editor Subprocess exited with exit code {e.returncode}")
+
+    def _get_n_args(self, args: list[str], example: str, n: int) -> Any:
+        """Helper to make sure the command got the right number of arguments"""
+        if len(args) != n:
+            msg = (
+                f"Got unexpected number of arguments, expected {n}. "
+                f'(example: "{get_prog()} config {example}")'
+            )
+            raise PipError(msg)
+
+        if n == 1:
+            return args[0]
+        else:
+            return args
+
+    def _save_configuration(self) -> None:
+        # We successfully ran a modifying command. Need to save the
+        # configuration.
+        try:
+            self.configuration.save()
+        except Exception:
+            logger.exception(
+                "Unable to save configuration. Please report this as a bug."
+            )
+            raise PipError("Internal Error.")
+
+    def _determine_editor(self, options: Values) -> str:
+        if options.editor is not None:
+            return options.editor
+        elif "VISUAL" in os.environ:
+            return os.environ["VISUAL"]
+        elif "EDITOR" in os.environ:
+            return os.environ["EDITOR"]
+        else:
+            raise PipError("Could not determine editor to use.")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/debug.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/debug.py
new file mode 100644
index 0000000000000000000000000000000000000000..4e8178d0a529be13904d661d36d7bbe38dd02993
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/debug.py
@@ -0,0 +1,195 @@
+from __future__ import annotations
+
+import logging
+import os
+import sys
+from optparse import Values
+from types import ModuleType
+from typing import Any
+
+import pip._vendor
+from pip._vendor.certifi import where
+from pip._vendor.packaging.version import parse as parse_version
+
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.cmdoptions import make_target_python
+from pip._internal.cli.status_codes import SUCCESS
+from pip._internal.configuration import Configuration
+from pip._internal.metadata import get_environment
+from pip._internal.utils.compat import get_locale_encoding, open_text_resource
+from pip._internal.utils.logging import indent_log
+from pip._internal.utils.misc import get_pip_version
+
+logger = logging.getLogger(__name__)
+
+
+def show_value(name: str, value: Any) -> None:
+    logger.info("%s: %s", name, value)
+
+
+def show_sys_implementation() -> None:
+    logger.info("sys.implementation:")
+    implementation_name = sys.implementation.name
+    with indent_log():
+        show_value("name", implementation_name)
+
+
+def create_vendor_txt_map() -> dict[str, str]:
+    with open_text_resource("pip._vendor", "vendor.txt") as f:
+        # Purge non version specifying lines.
+        # Also, remove any space prefix or suffixes (including comments).
+        lines = [
+            line.strip().split(" ", 1)[0] for line in f.readlines() if "==" in line
+        ]
+
+    # Transform into "module" -> version dict.
+    return dict(line.split("==", 1) for line in lines)
+
+
+def get_module_from_module_name(module_name: str) -> ModuleType | None:
+    # Module name can be uppercase in vendor.txt for some reason...
+    module_name = module_name.lower().replace("-", "_")
+    # PATCH: setuptools is actually only pkg_resources.
+    if module_name == "setuptools":
+        module_name = "pkg_resources"
+
+    __import__(f"pip._vendor.{module_name}", globals(), locals(), level=0)
+    return getattr(pip._vendor, module_name)
+
+
+def get_vendor_version_from_module(module_name: str) -> str | None:
+    module = get_module_from_module_name(module_name)
+    version = getattr(module, "__version__", None)
+
+    if module and not version:
+        # Try to find version in debundled module info.
+        assert module.__file__ is not None
+        env = get_environment([os.path.dirname(module.__file__)])
+        dist = env.get_distribution(module_name)
+        if dist:
+            version = str(dist.version)
+
+    return version
+
+
+def show_actual_vendor_versions(vendor_txt_versions: dict[str, str]) -> None:
+    """Log the actual version and print extra info if there is
+    a conflict or if the actual version could not be imported.
+    """
+    for module_name, expected_version in vendor_txt_versions.items():
+        extra_message = ""
+        actual_version = get_vendor_version_from_module(module_name)
+        if not actual_version:
+            extra_message = (
+                " (Unable to locate actual module version, using"
+                " vendor.txt specified version)"
+            )
+            actual_version = expected_version
+        elif parse_version(actual_version) != parse_version(expected_version):
+            extra_message = (
+                " (CONFLICT: vendor.txt suggests version should"
+                f" be {expected_version})"
+            )
+        logger.info("%s==%s%s", module_name, actual_version, extra_message)
+
+
+def show_vendor_versions() -> None:
+    logger.info("vendored library versions:")
+
+    vendor_txt_versions = create_vendor_txt_map()
+    with indent_log():
+        show_actual_vendor_versions(vendor_txt_versions)
+
+
+def show_tags(options: Values) -> None:
+    tag_limit = 10
+
+    target_python = make_target_python(options)
+    tags = target_python.get_sorted_tags()
+
+    # Display the target options that were explicitly provided.
+    formatted_target = target_python.format_given()
+    suffix = ""
+    if formatted_target:
+        suffix = f" (target: {formatted_target})"
+
+    msg = f"Compatible tags: {len(tags)}{suffix}"
+    logger.info(msg)
+
+    if options.verbose < 1 and len(tags) > tag_limit:
+        tags_limited = True
+        tags = tags[:tag_limit]
+    else:
+        tags_limited = False
+
+    with indent_log():
+        for tag in tags:
+            logger.info(str(tag))
+
+        if tags_limited:
+            msg = f"...\n[First {tag_limit} tags shown. Pass --verbose to show all.]"
+            logger.info(msg)
+
+
+def ca_bundle_info(config: Configuration) -> str:
+    levels = {key.split(".", 1)[0] for _, options in config.items() for key in options}
+    if not levels:
+        return "Not specified"
+
+    levels_that_override_global = ["install", "wheel", "download"]
+    global_overriding_level = [
+        level for level in levels if level in levels_that_override_global
+    ]
+    if not global_overriding_level:
+        return "global"
+
+    if "global" in levels:
+        levels.remove("global")
+    return ", ".join(levels)
+
+
+class DebugCommand(Command):
+    """
+    Display debug information.
+    """
+
+    usage = """
+      %prog """
+    ignore_require_venv = True
+
+    def add_options(self) -> None:
+        cmdoptions.add_target_python_options(self.cmd_opts)
+        self.parser.insert_option_group(0, self.cmd_opts)
+        self.parser.config.load()
+
+    def run(self, options: Values, args: list[str]) -> int:
+        logger.warning(
+            "This command is only meant for debugging. "
+            "Do not use this with automation for parsing and getting these "
+            "details, since the output and options of this command may "
+            "change without notice."
+        )
+        show_value("pip version", get_pip_version())
+        show_value("sys.version", sys.version)
+        show_value("sys.executable", sys.executable)
+        show_value("sys.getdefaultencoding", sys.getdefaultencoding())
+        show_value("sys.getfilesystemencoding", sys.getfilesystemencoding())
+        show_value(
+            "locale.getencoding",
+            get_locale_encoding(),
+        )
+        show_value("sys.platform", sys.platform)
+        show_sys_implementation()
+
+        show_value("'cert' config value", ca_bundle_info(self.parser.config))
+        show_value("REQUESTS_CA_BUNDLE", os.environ.get("REQUESTS_CA_BUNDLE"))
+        show_value("CURL_CA_BUNDLE", os.environ.get("CURL_CA_BUNDLE"))
+        show_value("pip._vendor.certifi.where()", where())
+        show_value("pip._vendor.DEBUNDLED", pip._vendor.DEBUNDLED)
+
+        show_vendor_versions()
+
+        show_tags(options)
+
+        return SUCCESS
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/download.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/download.py
new file mode 100644
index 0000000000000000000000000000000000000000..8b349829603817b8abb11aaf4b24f6c4725b7237
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/download.py
@@ -0,0 +1,150 @@
+import logging
+import os
+from optparse import Values
+
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.cmdoptions import make_target_python
+from pip._internal.cli.req_command import RequirementCommand, with_cleanup
+from pip._internal.cli.status_codes import SUCCESS
+from pip._internal.operations.build.build_tracker import get_build_tracker
+from pip._internal.utils.misc import ensure_dir, normalize_path, write_output
+from pip._internal.utils.temp_dir import TempDirectory
+
+logger = logging.getLogger(__name__)
+
+
+class DownloadCommand(RequirementCommand):
+    """
+    Download packages from:
+
+    - PyPI (and other indexes) using requirement specifiers.
+    - VCS project urls.
+    - Local project directories.
+    - Local or remote source archives.
+
+    pip also supports downloading from "requirements files", which provide
+    an easy way to specify a whole environment to be downloaded.
+    """
+
+    usage = """
+      %prog [options]  [package-index-options] ...
+      %prog [options] -r  [package-index-options] ...
+      %prog [options]  ...
+      %prog [options]  ...
+      %prog [options]  ..."""
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(cmdoptions.constraints())
+        self.cmd_opts.add_option(cmdoptions.build_constraints())
+        self.cmd_opts.add_option(cmdoptions.requirements())
+        self.cmd_opts.add_option(cmdoptions.requirements_from_scripts())
+        self.cmd_opts.add_option(cmdoptions.no_deps())
+        self.cmd_opts.add_option(cmdoptions.only_deps())
+        self.cmd_opts.add_option(cmdoptions.src())
+        self.cmd_opts.add_option(cmdoptions.require_hashes())
+        self.cmd_opts.add_option(cmdoptions.no_require_hashes())
+        self.cmd_opts.add_option(cmdoptions.progress_bar())
+        self.cmd_opts.add_option(cmdoptions.no_build_isolation())
+        self.cmd_opts.add_option(cmdoptions.use_pep517())
+        self.cmd_opts.add_option(cmdoptions.check_build_deps())
+        self.cmd_opts.add_option(cmdoptions.ignore_requires_python())
+
+        self.cmd_opts.add_option(
+            "-d",
+            "--dest",
+            "--destination-dir",
+            "--destination-directory",
+            dest="download_dir",
+            metavar="dir",
+            default=os.curdir,
+            help="Download packages into .",
+        )
+
+        cmdoptions.add_target_python_options(self.cmd_opts)
+
+        index_opts = cmdoptions.make_option_group(
+            cmdoptions.index_group,
+            self.parser,
+        )
+
+        selection_opts = cmdoptions.make_option_group(
+            cmdoptions.package_selection_group,
+            self.parser,
+        )
+
+        self.parser.insert_option_group(0, index_opts)
+        self.parser.insert_option_group(0, selection_opts)
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    @with_cleanup
+    def run(self, options: Values, args: list[str]) -> int:
+        options.ignore_installed = True
+        # editable doesn't really make sense for `pip download`, but the bowels
+        # of the RequirementSet code require that property.
+        options.editables = []
+
+        cmdoptions.check_dist_restriction(options)
+        cmdoptions.check_build_constraints(options)
+        cmdoptions.check_release_control_exclusive(options)
+        cmdoptions.check_only_deps_option_does_not_conflict(options)
+
+        options.download_dir = normalize_path(options.download_dir)
+        ensure_dir(options.download_dir)
+
+        session = self.get_default_session(options)
+
+        target_python = make_target_python(options)
+        finder = self._build_package_finder(
+            options=options,
+            session=session,
+            target_python=target_python,
+            ignore_requires_python=options.ignore_requires_python,
+        )
+
+        build_tracker = self.enter_context(get_build_tracker())
+
+        directory = TempDirectory(
+            delete=not options.no_clean,
+            kind="download",
+            globally_managed=True,
+        )
+
+        reqs = self.get_requirements(args, options, finder, session)
+
+        preparer = self.make_requirement_preparer(
+            temp_build_dir=directory,
+            options=options,
+            build_tracker=build_tracker,
+            session=session,
+            finder=finder,
+            download_dir=options.download_dir,
+            use_user_site=False,
+            verbosity=self.verbosity,
+            allow_editables=False,
+        )
+
+        resolver = self.make_resolver(
+            preparer=preparer,
+            finder=finder,
+            options=options,
+            ignore_requires_python=options.ignore_requires_python,
+            py_version_info=options.python_version,
+        )
+
+        self.trace_basic_info(finder)
+
+        requirement_set = resolver.resolve(reqs, check_supported_wheels=True)
+
+        preparer.prepare_linked_requirements_more(requirement_set.requirements.values())
+
+        downloaded: list[str] = []
+        for req in requirement_set.requirements.values():
+            if req.satisfied_by is None:
+                assert req.name is not None
+                preparer.save_linked_requirement(req)
+                downloaded.append(req.name)
+
+        if downloaded:
+            write_output("Successfully downloaded %s", " ".join(downloaded))
+
+        return SUCCESS
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/freeze.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/freeze.py
new file mode 100644
index 0000000000000000000000000000000000000000..ab501db56290b73d0fa12f0f1e06e09dfa5948c2
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/freeze.py
@@ -0,0 +1,107 @@
+import sys
+from optparse import Values
+
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.status_codes import SUCCESS
+from pip._internal.metadata.base import stdlib_pkgs
+from pip._internal.operations.freeze import freeze
+
+
+def _should_suppress_build_backends() -> bool:
+    return sys.version_info < (3, 12)
+
+
+def _dev_pkgs() -> set[str]:
+    pkgs = {"pip"}
+
+    if _should_suppress_build_backends():
+        pkgs |= {"setuptools", "distribute", "wheel"}
+
+    return pkgs
+
+
+class FreezeCommand(Command):
+    """
+    Output installed packages in requirements format.
+
+    packages are listed in a case-insensitive sorted order.
+    """
+
+    ignore_require_venv = True
+    usage = """
+      %prog [options]"""
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            "-r",
+            "--requirement",
+            dest="requirements",
+            action="append",
+            default=[],
+            metavar="file",
+            help=(
+                "Use the order in the given requirements file and its "
+                "comments when generating output. This option can be "
+                "used multiple times."
+            ),
+        )
+        self.cmd_opts.add_option(
+            "-l",
+            "--local",
+            dest="local",
+            action="store_true",
+            default=False,
+            help=(
+                "If in a virtualenv that has global access, do not output "
+                "globally-installed packages."
+            ),
+        )
+        self.cmd_opts.add_option(
+            "--user",
+            dest="user",
+            action="store_true",
+            default=False,
+            help="Only output packages installed in user-site.",
+        )
+        self.cmd_opts.add_option(cmdoptions.list_path())
+        self.cmd_opts.add_option(
+            "--all",
+            dest="freeze_all",
+            action="store_true",
+            help=(
+                "Do not skip these packages in the output:"
+                " {}".format(", ".join(_dev_pkgs()))
+            ),
+        )
+        self.cmd_opts.add_option(
+            "--exclude-editable",
+            dest="exclude_editable",
+            action="store_true",
+            help="Exclude editable package from output.",
+        )
+        self.cmd_opts.add_option(cmdoptions.list_exclude())
+
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    def run(self, options: Values, args: list[str]) -> int:
+        skip = set(stdlib_pkgs)
+        if not options.freeze_all:
+            skip.update(_dev_pkgs())
+
+        if options.excludes:
+            skip.update(options.excludes)
+
+        cmdoptions.check_list_path_option(options)
+
+        for line in freeze(
+            requirement=options.requirements,
+            local_only=options.local,
+            user_only=options.user,
+            paths=options.path,
+            isolated=options.isolated_mode,
+            skip=skip,
+            exclude_editable=options.exclude_editable,
+        ):
+            sys.stdout.write(line + "\n")
+        return SUCCESS
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/hash.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/hash.py
new file mode 100644
index 0000000000000000000000000000000000000000..271a4c91a7f759272424e051862dee0a33a91d1a
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/hash.py
@@ -0,0 +1,58 @@
+import hashlib
+import logging
+import sys
+from optparse import Values
+
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.status_codes import ERROR, SUCCESS
+from pip._internal.utils.hashes import FAVORITE_HASH, STRONG_HASHES
+from pip._internal.utils.misc import read_chunks, write_output
+
+logger = logging.getLogger(__name__)
+
+
+class HashCommand(Command):
+    """
+    Compute a hash of a local package archive.
+
+    These can be used with --hash in a requirements file to do repeatable
+    installs.
+    """
+
+    usage = "%prog [options]  ..."
+    ignore_require_venv = True
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            "-a",
+            "--algorithm",
+            dest="algorithm",
+            choices=STRONG_HASHES,
+            action="store",
+            default=FAVORITE_HASH,
+            help="The hash algorithm to use: one of {}".format(
+                ", ".join(STRONG_HASHES)
+            ),
+        )
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    def run(self, options: Values, args: list[str]) -> int:
+        if not args:
+            self.parser.print_usage(sys.stderr)
+            return ERROR
+
+        algorithm = options.algorithm
+        for path in args:
+            write_output(
+                "%s:\n--hash=%s:%s", path, algorithm, _hash_of_file(path, algorithm)
+            )
+        return SUCCESS
+
+
+def _hash_of_file(path: str, algorithm: str) -> str:
+    """Return the hash digest of a file."""
+    with open(path, "rb") as archive:
+        hash = hashlib.new(algorithm)
+        for chunk in read_chunks(archive):
+            hash.update(chunk)
+    return hash.hexdigest()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/help.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/help.py
new file mode 100644
index 0000000000000000000000000000000000000000..2ae658ff5eb6951ea30948ab425e6125dc41fa34
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/help.py
@@ -0,0 +1,40 @@
+from optparse import Values
+
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.status_codes import SUCCESS
+from pip._internal.exceptions import CommandError
+
+
+class HelpCommand(Command):
+    """Show help for commands"""
+
+    usage = """
+      %prog """
+    ignore_require_venv = True
+
+    def run(self, options: Values, args: list[str]) -> int:
+        from pip._internal.commands import (
+            commands_dict,
+            create_command,
+            get_similar_commands,
+        )
+
+        try:
+            # 'pip help' with no args is handled by pip.__init__.parseopt()
+            cmd_name = args[0]  # the command we need help for
+        except IndexError:
+            return SUCCESS
+
+        if cmd_name not in commands_dict:
+            guess = get_similar_commands(cmd_name)
+
+            msg = [f'unknown command "{cmd_name}"']
+            if guess:
+                msg.append(f'maybe you meant "{guess}"')
+
+            raise CommandError(" - ".join(msg))
+
+        command = create_command(cmd_name)
+        command.parser.print_help()
+
+        return SUCCESS
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/index.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/index.py
new file mode 100644
index 0000000000000000000000000000000000000000..e444b9a746b88c2608464852744ff38dff500cc8
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/index.py
@@ -0,0 +1,173 @@
+from __future__ import annotations
+
+import json
+import logging
+from collections.abc import Callable, Iterable
+from optparse import Values
+from typing import Any
+
+from pip._vendor.packaging.utils import canonicalize_name
+from pip._vendor.packaging.version import Version
+
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.req_command import IndexGroupCommand
+from pip._internal.cli.status_codes import ERROR, SUCCESS
+from pip._internal.commands.search import (
+    get_installed_distribution,
+    print_dist_installation_info,
+)
+from pip._internal.exceptions import (
+    CommandError,
+    DiagnosticPipError,
+    DistributionNotFound,
+    PipError,
+)
+from pip._internal.index.collector import LinkCollector
+from pip._internal.index.package_finder import PackageFinder
+from pip._internal.models.selection_prefs import SelectionPreferences
+from pip._internal.models.target_python import TargetPython
+from pip._internal.network.session import PipSession
+from pip._internal.utils.misc import write_output
+
+logger = logging.getLogger(__name__)
+
+
+class IndexCommand(IndexGroupCommand):
+    """
+    Inspect information available from package indexes.
+    """
+
+    ignore_require_venv = True
+    usage = """
+        %prog versions 
+    """
+
+    def add_options(self) -> None:
+        cmdoptions.add_target_python_options(self.cmd_opts)
+
+        self.cmd_opts.add_option(cmdoptions.ignore_requires_python())
+        self.cmd_opts.add_option(cmdoptions.json())
+
+        index_opts = cmdoptions.make_option_group(
+            cmdoptions.index_group,
+            self.parser,
+        )
+
+        selection_opts = cmdoptions.make_option_group(
+            cmdoptions.package_selection_group,
+            self.parser,
+        )
+
+        self.parser.insert_option_group(0, index_opts)
+        self.parser.insert_option_group(0, selection_opts)
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    def handler_map(self) -> dict[str, Callable[[Values, list[str]], None]]:
+        return {
+            "versions": self.get_available_package_versions,
+        }
+
+    def run(self, options: Values, args: list[str]) -> int:
+        cmdoptions.check_release_control_exclusive(options)
+
+        handler_map = self.handler_map()
+
+        # Determine action
+        if not args or args[0] not in handler_map:
+            logger.error(
+                "Need an action (%s) to perform.",
+                ", ".join(sorted(handler_map)),
+            )
+            return ERROR
+
+        action = args[0]
+
+        # Error handling happens here, not in the action-handlers.
+        try:
+            handler_map[action](options, args[1:])
+        except DiagnosticPipError:
+            raise
+        except PipError as e:
+            logger.error(e.args[0])
+            return ERROR
+
+        return SUCCESS
+
+    def _build_package_finder(
+        self,
+        options: Values,
+        session: PipSession,
+        target_python: TargetPython | None = None,
+        ignore_requires_python: bool = False,
+    ) -> PackageFinder:
+        """
+        Create a package finder appropriate to the index command.
+        """
+        link_collector = LinkCollector.create(session, options=options)
+
+        # Pass allow_yanked=False to ignore yanked versions.
+        selection_prefs = SelectionPreferences(
+            allow_yanked=False,
+            release_control=options.release_control,
+            format_control=options.format_control,
+            ignore_requires_python=ignore_requires_python,
+        )
+
+        return PackageFinder.create(
+            link_collector=link_collector,
+            selection_prefs=selection_prefs,
+            target_python=target_python,
+            uploaded_prior_to=options.uploaded_prior_to,
+        )
+
+    def get_available_package_versions(self, options: Values, args: list[Any]) -> None:
+        if len(args) != 1:
+            raise CommandError("You need to specify exactly one argument")
+
+        target_python = cmdoptions.make_target_python(options)
+        query = args[0]
+
+        with self._build_session(options) as session:
+            finder = self._build_package_finder(
+                options=options,
+                session=session,
+                target_python=target_python,
+                ignore_requires_python=options.ignore_requires_python,
+            )
+
+            versions: Iterable[Version] = (
+                candidate.version for candidate in finder.find_all_candidates(query)
+            )
+
+            if self.should_exclude_prerelease(options, canonicalize_name(query)):
+                versions = (
+                    version for version in versions if not version.is_prerelease
+                )
+            versions = set(versions)
+
+            if not versions:
+                raise DistributionNotFound(
+                    f"No matching distribution found for {query}"
+                )
+
+            formatted_versions = [str(ver) for ver in sorted(versions, reverse=True)]
+            latest = formatted_versions[0]
+
+        dist = get_installed_distribution(query)
+
+        if options.json:
+            structured_output = {
+                "name": query,
+                "versions": formatted_versions,
+                "latest": latest,
+            }
+
+            if dist is not None:
+                structured_output["installed_version"] = str(dist.version)
+
+            write_output(json.dumps(structured_output))
+
+        else:
+            write_output(f"{query} ({latest})")
+            write_output("Available versions: {}".format(", ".join(formatted_versions)))
+            print_dist_installation_info(latest, dist)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/inspect.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/inspect.py
new file mode 100644
index 0000000000000000000000000000000000000000..53b4f006408afc0ebfc5f990f213410302d9ddc2
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/inspect.py
@@ -0,0 +1,92 @@
+import logging
+from optparse import Values
+from typing import Any
+
+from pip._vendor.packaging.markers import default_environment
+from pip._vendor.rich import print_json
+
+from pip import __version__
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.status_codes import SUCCESS
+from pip._internal.metadata import BaseDistribution, get_environment
+from pip._internal.metadata.base import stdlib_pkgs
+from pip._internal.utils.urls import path_to_url
+
+logger = logging.getLogger(__name__)
+
+
+class InspectCommand(Command):
+    """
+    Inspect the content of a Python environment and produce a report in JSON format.
+    """
+
+    ignore_require_venv = True
+    usage = """
+      %prog [options]"""
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            "--local",
+            action="store_true",
+            default=False,
+            help=(
+                "If in a virtualenv that has global access, do not list "
+                "globally-installed packages."
+            ),
+        )
+        self.cmd_opts.add_option(
+            "--user",
+            dest="user",
+            action="store_true",
+            default=False,
+            help="Only output packages installed in user-site.",
+        )
+        self.cmd_opts.add_option(cmdoptions.list_path())
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    def run(self, options: Values, args: list[str]) -> int:
+        cmdoptions.check_list_path_option(options)
+        dists = get_environment(options.path).iter_installed_distributions(
+            local_only=options.local,
+            user_only=options.user,
+            skip=set(stdlib_pkgs),
+        )
+        output = {
+            "version": "1",
+            "pip_version": __version__,
+            "installed": [self._dist_to_dict(dist) for dist in dists],
+            "environment": default_environment(),
+            # TODO tags? scheme?
+        }
+        print_json(data=output)
+        return SUCCESS
+
+    def _dist_to_dict(self, dist: BaseDistribution) -> dict[str, Any]:
+        res: dict[str, Any] = {
+            "metadata": dist.metadata_dict,
+            "metadata_location": dist.info_location,
+        }
+        # direct_url. Note that we don't have download_info (as in the installation
+        # report) since it is not recorded in installed metadata.
+        direct_url = dist.direct_url
+        if direct_url is not None:
+            res["direct_url"] = direct_url.to_dict_compat()
+        else:
+            # Emulate direct_url for legacy editable installs.
+            editable_project_location = dist.editable_project_location
+            if editable_project_location is not None:
+                res["direct_url"] = {
+                    "url": path_to_url(editable_project_location),
+                    "dir_info": {
+                        "editable": True,
+                    },
+                }
+        # installer
+        installer = dist.installer
+        if dist.installer:
+            res["installer"] = installer
+        # requested
+        if dist.installed_with_dist_info:
+            res["requested"] = dist.requested
+        return res
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/install.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/install.py
new file mode 100644
index 0000000000000000000000000000000000000000..e1482b9cd47250f7a615ce49b212de12b3b193bb
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/install.py
@@ -0,0 +1,904 @@
+from __future__ import annotations
+
+import contextlib
+import errno
+import json
+import operator
+import os
+import shutil
+import site
+import sys
+from collections.abc import Iterator
+from optparse import SUPPRESS_HELP, Values
+from pathlib import Path
+from typing import Any
+
+from pip._vendor.packaging.requirements import InvalidRequirement, Requirement
+from pip._vendor.packaging.utils import canonicalize_name
+from pip._vendor.requests.exceptions import InvalidProxyURL
+from pip._vendor.rich import print_json
+
+# Eagerly import self_outdated_check to avoid crashes. Otherwise,
+# this module would be imported *after* pip was replaced, resulting
+# in crashes if the new self_outdated_check module was incompatible
+# with the rest of pip that's already imported, or allowing a
+# wheel to execute arbitrary code on install by replacing
+# self_outdated_check.
+import pip._internal.self_outdated_check  # noqa: F401
+from pip._internal.cache import WheelCache
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.cmdoptions import make_target_python
+from pip._internal.cli.req_command import (
+    RequirementCommand,
+    with_cleanup,
+)
+from pip._internal.cli.status_codes import ERROR, SUCCESS
+from pip._internal.exceptions import (
+    CommandError,
+    InstallationError,
+    InstallWheelBuildError,
+)
+from pip._internal.locations import get_scheme
+from pip._internal.metadata import BaseEnvironment, get_environment
+from pip._internal.models.installation_report import InstallationReport
+from pip._internal.operations.build.build_tracker import get_build_tracker
+from pip._internal.operations.check import ConflictDetails, check_install_conflicts
+from pip._internal.req import InstallationResult, install_given_reqs
+from pip._internal.req.req_install import (
+    InstallRequirement,
+)
+from pip._internal.utils.compat import WINDOWS
+from pip._internal.utils.deprecation import deprecated
+from pip._internal.utils.filesystem import test_writable_dir
+from pip._internal.utils.logging import getLogger
+from pip._internal.utils.misc import (
+    check_externally_managed,
+    ensure_dir,
+    get_pip_version,
+    protect_pip_from_modification_on_windows,
+    warn_if_run_as_root,
+    write_output,
+)
+from pip._internal.utils.temp_dir import TempDirectory
+from pip._internal.utils.virtualenv import (
+    running_under_virtualenv,
+    virtualenv_no_global,
+)
+from pip._internal.wheel_builder import build
+
+logger = getLogger(__name__)
+
+
+_IMPORT_AUDIT_HOOK_INSTALLED = False
+_MISSING_MODULES: set[str] = set()
+
+# Non-stdlib modules pip (or its vendored dependencies) may import lazily
+# after installation has started. Importing them eagerly keeps the audit
+# hook from misattributing them to a freshly installed distribution.
+_EAGER_IMPORTS: tuple[str, ...] = (
+    "pip._internal.operations.install.wheel",
+    # Used by rich when emitting output to a legacy Windows console.
+    "pip._vendor.rich._windows_renderer",
+)
+
+
+# Imports of standard library modules are always safe: they cannot be
+# shadowed by a distribution pip has just installed.
+_STDLIB_MODULE_NAMES: frozenset[str] = frozenset(sys.stdlib_module_names) | frozenset(
+    sys.builtin_module_names
+)
+
+
+def _prevent_import_hook(name: str, args: tuple[Any, ...]) -> None:
+    if name != "import":
+        return
+    module = args[0]
+    if module in _MISSING_MODULES:
+        raise ImportError(f"No module named {module!r}")
+    if module.partition(".")[0] in _STDLIB_MODULE_NAMES:
+        return
+    deprecated(
+        reason=f"Unexpected import of {module!r} after pip install started.",
+        replacement=None,
+        gone_in="26.3",
+        issue=13842,
+        include_source=True,
+        stacklevel=3,
+    )
+
+
+def _eagerly_import_modules() -> None:
+    """Import modules pip uses lazily so the audit hook ignores them later."""
+    for module in _EAGER_IMPORTS:
+        try:
+            __import__(module)
+        except ImportError:
+            # Record the module as missing so the hook can raise ImportError
+            # instead of trying to import it again.
+            _MISSING_MODULES.add(module)
+
+
+def _prevent_further_imports() -> None:
+    """Install an audit hook that warns on unexpected imports after pip install starts.
+
+    Eagerly pre-imports the known lazy imports first so the hook only fires
+    on genuinely unexpected modules.
+    """
+    global _IMPORT_AUDIT_HOOK_INSTALLED
+    if _IMPORT_AUDIT_HOOK_INSTALLED:
+        return
+
+    _IMPORT_AUDIT_HOOK_INSTALLED = True
+    sys.addaudithook(_prevent_import_hook)
+
+
+def _arg_refers_to_pip(arg: str) -> bool:
+    try:
+        req = Requirement(arg)
+    except InvalidRequirement:
+        return False
+    return canonicalize_name(req.name) == "pip"
+
+
+class InstallCommand(RequirementCommand):
+    """
+    Install packages from:
+
+    - PyPI (and other indexes) using requirement specifiers.
+    - VCS project urls.
+    - Local project directories.
+    - Local or remote source archives.
+
+    pip also supports installing from "requirements files", which provide
+    an easy way to specify a whole environment to be installed.
+    """
+
+    usage = """
+      %prog [options]  [package-index-options] ...
+      %prog [options] -r  [package-index-options] ...
+      %prog [options] [-e]  ...
+      %prog [options] [-e]  ...
+      %prog [options]  ..."""
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(cmdoptions.requirements())
+        self.cmd_opts.add_option(cmdoptions.constraints())
+        self.cmd_opts.add_option(cmdoptions.build_constraints())
+        self.cmd_opts.add_option(cmdoptions.requirements_from_scripts())
+        self.cmd_opts.add_option(cmdoptions.no_deps())
+        self.cmd_opts.add_option(cmdoptions.only_deps())
+
+        self.cmd_opts.add_option(cmdoptions.editable())
+        self.cmd_opts.add_option(
+            "--dry-run",
+            action="store_true",
+            dest="dry_run",
+            default=False,
+            help=(
+                "Don't actually install anything, just print what would be. "
+                "Can be used in combination with --ignore-installed "
+                "to 'resolve' the requirements."
+            ),
+        )
+        self.cmd_opts.add_option(
+            "-t",
+            "--target",
+            dest="target_dir",
+            metavar="dir",
+            default=None,
+            help=(
+                "Install packages into . "
+                "By default this will not replace existing files/folders in "
+                ". Use --upgrade to replace existing packages in  "
+                "with new versions."
+            ),
+        )
+        cmdoptions.add_target_python_options(self.cmd_opts)
+
+        self.cmd_opts.add_option(
+            "--user",
+            dest="use_user_site",
+            action="store_true",
+            help=(
+                "Install to the Python user install directory for your "
+                "platform. Typically ~/.local/, or %APPDATA%\\Python on "
+                "Windows. (See the Python documentation for site.USER_BASE "
+                "for full details.)"
+            ),
+        )
+        self.cmd_opts.add_option(
+            "--no-user",
+            dest="use_user_site",
+            action="store_false",
+            help=SUPPRESS_HELP,
+        )
+        self.cmd_opts.add_option(
+            "--root",
+            dest="root_path",
+            metavar="dir",
+            default=None,
+            help="Install everything relative to this alternate root directory.",
+        )
+        self.cmd_opts.add_option(
+            "--prefix",
+            dest="prefix_path",
+            metavar="dir",
+            default=None,
+            help=(
+                "Installation prefix where lib, bin and other top-level "
+                "folders are placed. Note that the resulting installation may "
+                "contain scripts and other resources which reference the "
+                "Python interpreter of pip, and not that of ``--prefix``. "
+                "See also the ``--python`` option if the intention is to "
+                "install packages into another (possibly pip-free) "
+                "environment."
+            ),
+        )
+
+        self.cmd_opts.add_option(cmdoptions.src())
+
+        self.cmd_opts.add_option(
+            "-U",
+            "--upgrade",
+            dest="upgrade",
+            action="store_true",
+            help=(
+                "Upgrade all specified packages to the newest available "
+                "version. The handling of dependencies depends on the "
+                "upgrade-strategy used."
+            ),
+        )
+
+        self.cmd_opts.add_option(
+            "--upgrade-strategy",
+            dest="upgrade_strategy",
+            default="only-if-needed",
+            choices=["only-if-needed", "eager"],
+            help=(
+                "Determines how dependency upgrading should be handled "
+                "[default: %default]. "
+                '"eager" - dependencies are upgraded regardless of '
+                "whether the currently installed version satisfies the "
+                "requirements of the upgraded package(s). "
+                '"only-if-needed" -  are upgraded only when they do not '
+                "satisfy the requirements of the upgraded package(s)."
+            ),
+        )
+
+        self.cmd_opts.add_option(
+            "--force-reinstall",
+            dest="force_reinstall",
+            action="store_true",
+            help="Reinstall all packages even if they are already up-to-date.",
+        )
+
+        self.cmd_opts.add_option(
+            "-I",
+            "--ignore-installed",
+            dest="ignore_installed",
+            action="store_true",
+            help=(
+                "Ignore the installed packages, overwriting them. "
+                "This can break your system if the existing package "
+                "is of a different version or was installed "
+                "with a different package manager!"
+            ),
+        )
+
+        self.cmd_opts.add_option(cmdoptions.ignore_requires_python())
+        self.cmd_opts.add_option(cmdoptions.no_build_isolation())
+        self.cmd_opts.add_option(cmdoptions.use_pep517())
+        self.cmd_opts.add_option(cmdoptions.check_build_deps())
+        self.cmd_opts.add_option(cmdoptions.override_externally_managed())
+
+        self.cmd_opts.add_option(cmdoptions.config_settings())
+
+        self.cmd_opts.add_option(
+            "--compile",
+            action="store_true",
+            dest="compile",
+            default=True,
+            help="Compile Python source files to bytecode",
+        )
+
+        self.cmd_opts.add_option(
+            "--no-compile",
+            action="store_false",
+            dest="compile",
+            help="Do not compile Python source files to bytecode",
+        )
+
+        self.cmd_opts.add_option(
+            "--no-warn-script-location",
+            action="store_false",
+            dest="warn_script_location",
+            default=True,
+            help="Do not warn when installing scripts outside PATH",
+        )
+        self.cmd_opts.add_option(
+            "--no-warn-conflicts",
+            action="store_false",
+            dest="warn_about_conflicts",
+            default=True,
+            help="Do not warn about broken dependencies",
+        )
+        self.cmd_opts.add_option(cmdoptions.require_hashes())
+        self.cmd_opts.add_option(cmdoptions.no_require_hashes())
+        self.cmd_opts.add_option(cmdoptions.progress_bar())
+        self.cmd_opts.add_option(cmdoptions.root_user_action())
+
+        index_opts = cmdoptions.make_option_group(
+            cmdoptions.index_group,
+            self.parser,
+        )
+
+        selection_opts = cmdoptions.make_option_group(
+            cmdoptions.package_selection_group,
+            self.parser,
+        )
+
+        self.parser.insert_option_group(0, index_opts)
+        self.parser.insert_option_group(0, selection_opts)
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+        self.cmd_opts.add_option(
+            "--report",
+            dest="json_report_file",
+            metavar="file",
+            default=None,
+            help=(
+                "Generate a JSON file describing what pip did to install "
+                "the provided requirements. "
+                "Can be used in combination with --dry-run and --ignore-installed "
+                "to 'resolve' the requirements. "
+                "When - is used as file name it writes to stdout. "
+                "When writing to stdout, please combine with the --quiet option "
+                "to avoid mixing pip logging output with JSON output."
+            ),
+        )
+
+    @contextlib.contextmanager
+    def pip_version_check(self, options: Values, args: list[str]) -> Iterator[None]:
+        # Skip the self-version check when pip itself is a requirement. The
+        # running pip may be replaced mid-command, and the upgrade prompt
+        # is redundant.
+        if any(_arg_refers_to_pip(arg) for arg in args):
+            yield
+            return
+        with super().pip_version_check(options, args):
+            yield
+
+    @with_cleanup
+    def run(self, options: Values, args: list[str]) -> int:
+        if options.use_user_site and options.target_dir is not None:
+            raise CommandError("Can not combine '--user' and '--target'")
+
+        # Check whether the environment we're installing into is externally
+        # managed, as specified in PEP 668. Specifying --root, --target, or
+        # --prefix disables the check, since there's no reliable way to locate
+        # the EXTERNALLY-MANAGED file for those cases. An exception is also
+        # made specifically for "--dry-run --report" for convenience.
+        installing_into_current_environment = (
+            not (options.dry_run and options.json_report_file)
+            and options.root_path is None
+            and options.target_dir is None
+            and options.prefix_path is None
+        )
+        if (
+            installing_into_current_environment
+            and not options.override_externally_managed
+        ):
+            check_externally_managed()
+
+        upgrade_strategy = "to-satisfy-only"
+        if options.upgrade:
+            upgrade_strategy = options.upgrade_strategy
+
+        cmdoptions.check_only_deps_option_does_not_conflict(options)
+        cmdoptions.check_build_constraints(options)
+        cmdoptions.check_dist_restriction(options, check_target=True)
+        cmdoptions.check_release_control_exclusive(options)
+
+        logger.verbose("Using %s", get_pip_version())
+        options.use_user_site = decide_user_install(
+            options.use_user_site,
+            prefix_path=options.prefix_path,
+            target_dir=options.target_dir,
+            root_path=options.root_path,
+            isolated_mode=options.isolated_mode,
+        )
+
+        target_temp_dir: TempDirectory | None = None
+        target_temp_dir_path: str | None = None
+        if options.target_dir:
+            options.ignore_installed = True
+            options.target_dir = os.path.abspath(options.target_dir)
+            if (
+                # fmt: off
+                os.path.exists(options.target_dir) and
+                not os.path.isdir(options.target_dir)
+                # fmt: on
+            ):
+                raise CommandError(
+                    "Target path exists but is not a directory, will not continue."
+                )
+
+            # Create a target directory for using with the target option
+            target_temp_dir = TempDirectory(kind="target")
+            target_temp_dir_path = target_temp_dir.path
+            self.enter_context(target_temp_dir)
+
+        session = self.get_default_session(options)
+
+        target_python = make_target_python(options)
+        finder = self._build_package_finder(
+            options=options,
+            session=session,
+            target_python=target_python,
+            ignore_requires_python=options.ignore_requires_python,
+        )
+        build_tracker = self.enter_context(get_build_tracker())
+
+        directory = TempDirectory(
+            delete=not options.no_clean,
+            kind="install",
+            globally_managed=True,
+        )
+
+        try:
+            reqs = self.get_requirements(args, options, finder, session)
+
+            wheel_cache = WheelCache(options.cache_dir)
+
+            preparer = self.make_requirement_preparer(
+                temp_build_dir=directory,
+                options=options,
+                build_tracker=build_tracker,
+                session=session,
+                finder=finder,
+                use_user_site=options.use_user_site,
+                verbosity=self.verbosity,
+                allow_editables=True,
+            )
+            resolver = self.make_resolver(
+                preparer=preparer,
+                finder=finder,
+                options=options,
+                wheel_cache=wheel_cache,
+                use_user_site=options.use_user_site,
+                ignore_installed=options.ignore_installed,
+                ignore_requires_python=options.ignore_requires_python,
+                force_reinstall=options.force_reinstall,
+                upgrade_strategy=upgrade_strategy,
+                py_version_info=options.python_version,
+            )
+
+            self.trace_basic_info(finder)
+
+            requirement_set = resolver.resolve(
+                reqs, check_supported_wheels=not options.target_dir
+            )
+
+            if options.json_report_file:
+                report = InstallationReport(requirement_set.requirements_to_install)
+                if options.json_report_file == "-":
+                    print_json(data=report.to_dict())
+                else:
+                    with open(options.json_report_file, "w", encoding="utf-8") as f:
+                        json.dump(report.to_dict(), f, indent=2, ensure_ascii=False)
+
+            if options.dry_run:
+                would_install_items = sorted(
+                    (r.metadata["name"], r.metadata["version"])
+                    for r in requirement_set.requirements_to_install
+                )
+                if would_install_items:
+                    write_output(
+                        "Would install %s",
+                        " ".join("-".join(item) for item in would_install_items),
+                    )
+                return SUCCESS
+
+            # If there is any more preparation to do for the actual installation, do
+            # so now. This includes actually downloading the files in the case that
+            # we have been using PEP-658 metadata so far.
+            preparer.prepare_linked_requirements_more(
+                requirement_set.requirements.values()
+            )
+
+            try:
+                pip_req = requirement_set.get_requirement("pip")
+            except KeyError:
+                modifying_pip = False
+            else:
+                # If we're not replacing an already installed pip,
+                # we're not modifying it.
+                modifying_pip = pip_req.satisfied_by is None
+            protect_pip_from_modification_on_windows(modifying_pip=modifying_pip)
+
+            reqs_to_build = [
+                r for r in requirement_set.requirements_to_install if not r.is_wheel
+            ]
+
+            _, build_failures = build(
+                reqs_to_build,
+                wheel_cache=wheel_cache,
+                verify=True,
+                allow_editables=True,
+            )
+
+            if build_failures:
+                raise InstallWheelBuildError(build_failures)
+
+            to_install = resolver.get_installation_order(requirement_set)
+
+            # Check for conflicts in the package set we're installing.
+            conflicts: ConflictDetails | None = None
+            should_warn_about_conflicts = (
+                not options.ignore_dependencies and options.warn_about_conflicts
+            )
+            if should_warn_about_conflicts:
+                conflicts = self._determine_conflicts(to_install)
+
+            # Don't warn about script install locations if
+            # --target or --prefix has been specified
+            warn_script_location = options.warn_script_location
+            if options.target_dir or options.prefix_path:
+                warn_script_location = False
+
+            # Warn on late imports so we don't silently pick up a module
+            # from a distribution pip is about to install.
+            try:
+                _eagerly_import_modules()
+            finally:
+                _prevent_further_imports()
+
+            installed = install_given_reqs(
+                to_install,
+                root=options.root_path,
+                home=target_temp_dir_path,
+                prefix=options.prefix_path,
+                warn_script_location=warn_script_location,
+                use_user_site=options.use_user_site,
+                pycompile=options.compile,
+                progress_bar=options.progress_bar,
+            )
+
+            lib_locations = get_lib_location_guesses(
+                user=options.use_user_site,
+                home=target_temp_dir_path,
+                root=options.root_path,
+                prefix=options.prefix_path,
+                isolated=options.isolated_mode,
+            )
+            env = get_environment(lib_locations)
+
+            if conflicts is not None:
+                self._warn_about_conflicts(
+                    conflicts,
+                    resolver_variant=self.determine_resolver_variant(options),
+                )
+            if summary := installed_packages_summary(installed, env):
+                write_output(summary)
+        except OSError as error:
+            show_traceback = self.verbosity >= 1
+
+            message = create_os_error_message(
+                error,
+                show_traceback,
+                options.use_user_site,
+            )
+            logger.error(message, exc_info=show_traceback)
+
+            return ERROR
+
+        if options.target_dir:
+            assert target_temp_dir
+            self._handle_target_dir(
+                options.target_dir, target_temp_dir, options.upgrade
+            )
+        if options.root_user_action == "warn":
+            warn_if_run_as_root()
+        return SUCCESS
+
+    def _handle_target_dir(
+        self, target_dir: str, target_temp_dir: TempDirectory, upgrade: bool
+    ) -> None:
+        ensure_dir(target_dir)
+
+        # Checking both purelib and platlib directories for installed
+        # packages to be moved to target directory
+        lib_dir_list = []
+
+        # Checking both purelib and platlib directories for installed
+        # packages to be moved to target directory
+        scheme = get_scheme("", home=target_temp_dir.path)
+        purelib_dir = scheme.purelib
+        platlib_dir = scheme.platlib
+        data_dir = scheme.data
+
+        if os.path.exists(purelib_dir):
+            lib_dir_list.append(purelib_dir)
+        if os.path.exists(platlib_dir) and platlib_dir != purelib_dir:
+            lib_dir_list.append(platlib_dir)
+        if os.path.exists(data_dir):
+            lib_dir_list.append(data_dir)
+
+        for lib_dir in lib_dir_list:
+            for item in os.listdir(lib_dir):
+                if lib_dir == data_dir:
+                    ddir = os.path.join(data_dir, item)
+                    if any(s.startswith(ddir) for s in lib_dir_list[:-1]):
+                        continue
+                target_item_dir = os.path.join(target_dir, item)
+                if os.path.exists(target_item_dir):
+                    if not upgrade:
+                        logger.warning(
+                            "Target directory %s already exists. Specify "
+                            "--upgrade to force replacement.",
+                            target_item_dir,
+                        )
+                        continue
+                    if os.path.islink(target_item_dir):
+                        logger.warning(
+                            "Target directory %s already exists and is "
+                            "a link. pip will not automatically replace "
+                            "links, please remove if replacement is "
+                            "desired.",
+                            target_item_dir,
+                        )
+                        continue
+                    if os.path.isdir(target_item_dir):
+                        shutil.rmtree(target_item_dir)
+                    else:
+                        os.remove(target_item_dir)
+
+                shutil.move(os.path.join(lib_dir, item), target_item_dir)
+
+    def _determine_conflicts(
+        self, to_install: list[InstallRequirement]
+    ) -> ConflictDetails | None:
+        try:
+            return check_install_conflicts(to_install)
+        except Exception:
+            logger.exception(
+                "Error while checking for conflicts. Please file an issue on "
+                "pip's issue tracker: https://github.com/pypa/pip/issues/new"
+            )
+            return None
+
+    def _warn_about_conflicts(
+        self, conflict_details: ConflictDetails, resolver_variant: str
+    ) -> None:
+        package_set, (missing, conflicting) = conflict_details
+        if not missing and not conflicting:
+            return
+
+        parts: list[str] = []
+        if resolver_variant == "legacy":
+            parts.append(
+                "pip's legacy dependency resolver does not consider dependency "
+                "conflicts when selecting packages. This behaviour is the "
+                "source of the following dependency conflicts."
+            )
+        else:
+            assert resolver_variant == "resolvelib"
+            parts.append(
+                "pip's dependency resolver does not currently take into account "
+                "all the packages that are installed. This behaviour is the "
+                "source of the following dependency conflicts."
+            )
+
+        # NOTE: There is some duplication here, with commands/check.py
+        for project_name in missing:
+            version = package_set[project_name][0]
+            for dependency in missing[project_name]:
+                message = (
+                    f"{project_name} {version} requires {dependency[1]}, "
+                    "which is not installed."
+                )
+                parts.append(message)
+
+        for project_name in conflicting:
+            version = package_set[project_name][0]
+            for dep_name, dep_version, req in conflicting[project_name]:
+                message = (
+                    "{name} {version} requires {requirement}, but {you} have "
+                    "{dep_name} {dep_version} which is incompatible."
+                ).format(
+                    name=project_name,
+                    version=version,
+                    requirement=req,
+                    dep_name=dep_name,
+                    dep_version=dep_version,
+                    you=("you" if resolver_variant == "resolvelib" else "you'll"),
+                )
+                parts.append(message)
+
+        logger.critical("\n".join(parts))
+
+
+def installed_packages_summary(
+    installed: list[InstallationResult], env: BaseEnvironment
+) -> str:
+    # Format a summary of installed packages, with extra care to
+    # display a package name as it was requested by the user.
+    installed.sort(key=operator.attrgetter("name"))
+    summary = []
+    installed_versions = {}
+    for distribution in env.iter_all_distributions():
+        installed_versions[distribution.canonical_name] = distribution.version
+    for package in installed:
+        display_name = package.name
+        version = installed_versions.get(canonicalize_name(display_name), None)
+        if version:
+            text = f"{display_name}-{version}"
+        else:
+            text = display_name
+        summary.append(text)
+
+    if not summary:
+        return ""
+    return f"Successfully installed {' '.join(summary)}"
+
+
+def get_lib_location_guesses(
+    user: bool = False,
+    home: str | None = None,
+    root: str | None = None,
+    isolated: bool = False,
+    prefix: str | None = None,
+) -> list[str]:
+    scheme = get_scheme(
+        "",
+        user=user,
+        home=home,
+        root=root,
+        isolated=isolated,
+        prefix=prefix,
+    )
+    return [scheme.purelib, scheme.platlib]
+
+
+def site_packages_writable(root: str | None, isolated: bool) -> bool:
+    return all(
+        test_writable_dir(d)
+        for d in set(get_lib_location_guesses(root=root, isolated=isolated))
+    )
+
+
+def decide_user_install(
+    use_user_site: bool | None,
+    prefix_path: str | None = None,
+    target_dir: str | None = None,
+    root_path: str | None = None,
+    isolated_mode: bool = False,
+) -> bool:
+    """Determine whether to do a user install based on the input options.
+
+    If use_user_site is False, no additional checks are done.
+    If use_user_site is True, it is checked for compatibility with other
+    options.
+    If use_user_site is None, the default behaviour depends on the environment,
+    which is provided by the other arguments.
+    """
+    # In some cases (config from tox), use_user_site can be set to an integer
+    # rather than a bool, which 'use_user_site is False' wouldn't catch.
+    if (use_user_site is not None) and (not use_user_site):
+        logger.debug("Non-user install by explicit request")
+        return False
+
+    # If we have been asked for a user install explicitly, check compatibility.
+    if use_user_site:
+        if prefix_path:
+            raise CommandError(
+                "Can not combine '--user' and '--prefix' as they imply "
+                "different installation locations"
+            )
+        if virtualenv_no_global():
+            raise InstallationError(
+                "Can not perform a '--user' install. User site-packages "
+                "are not visible in this virtualenv."
+            )
+        # Catch all remaining cases which honour the site.ENABLE_USER_SITE
+        # value, such as a plain Python installation (e.g. no virtualenv).
+        if not site.ENABLE_USER_SITE:
+            raise InstallationError(
+                "Can not perform a '--user' install. User site-packages "
+                "are disabled for this Python."
+            )
+        logger.debug("User install by explicit request")
+        return True
+
+    # If we are here, user installs have not been explicitly requested/avoided
+    assert use_user_site is None
+
+    # user install incompatible with --prefix/--target
+    if prefix_path or target_dir:
+        logger.debug("Non-user install due to --prefix or --target option")
+        return False
+
+    # If user installs are not enabled, choose a non-user install
+    if not site.ENABLE_USER_SITE:
+        logger.debug("Non-user install because user site-packages disabled")
+        return False
+
+    # If we have permission for a non-user install, do that,
+    # otherwise do a user install.
+    if site_packages_writable(root=root_path, isolated=isolated_mode):
+        logger.debug("Non-user install because site-packages writeable")
+        return False
+
+    logger.info(
+        "Defaulting to user installation because normal site-packages "
+        "is not writeable"
+    )
+    return True
+
+
+def create_os_error_message(
+    error: OSError, show_traceback: bool, using_user_site: bool
+) -> str:
+    """Format an error message for an OSError
+
+    It may occur anytime during the execution of the install command.
+    """
+    parts = []
+
+    # Mention the error if we are not going to show a traceback
+    parts.append("Could not install packages due to an OSError")
+    if not show_traceback:
+        parts.append(": ")
+        parts.append(str(error))
+    else:
+        parts.append(".")
+
+    # Spilt the error indication from a helper message (if any)
+    parts[-1] += "\n"
+
+    # Suggest useful actions to the user:
+    #  (1) using user site-packages or (2) verifying the permissions
+    if error.errno == errno.EACCES:
+        user_option_part = "Consider using the `--user` option"
+        permissions_part = "Check the permissions"
+
+        if not running_under_virtualenv() and not using_user_site:
+            parts.extend(
+                [
+                    user_option_part,
+                    " or ",
+                    permissions_part.lower(),
+                ]
+            )
+        else:
+            parts.append(permissions_part)
+        parts.append(".\n")
+
+    # Suggest to check "pip config debug" in case of invalid proxy
+    if type(error) is InvalidProxyURL:
+        parts.append(
+            'Consider checking your local proxy configuration with "pip config debug"'
+        )
+        parts.append(".\n")
+
+    # On Windows, errors like EINVAL or ENOENT may occur
+    # if a file or folder name exceeds 255 characters,
+    # or if the full path exceeds 260 characters and long path support isn't enabled.
+    # This condition checks for such cases and adds a hint to the error output.
+
+    if WINDOWS and error.errno in (errno.EINVAL, errno.ENOENT) and error.filename:
+        if any(len(part) > 255 for part in Path(error.filename).parts):
+            parts.append(
+                "HINT: This error might be caused by a file or folder name exceeding "
+                "255 characters, which is a Windows limitation even if long paths "
+                "are enabled.\n "
+            )
+        if len(error.filename) > 260:
+            parts.append(
+                "HINT: This error might have occurred since "
+                "this system does not have Windows Long Path "
+                "support enabled. You can find information on "
+                "how to enable this at "
+                "https://pip.pypa.io/warnings/enable-long-paths\n"
+            )
+    return "".join(parts).strip() + "\n"
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/list.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/list.py
new file mode 100644
index 0000000000000000000000000000000000000000..3d82d07781ea79d5f633206a8e1e402faf9b226f
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/list.py
@@ -0,0 +1,408 @@
+from __future__ import annotations
+
+import contextlib
+import json
+import logging
+from collections.abc import Generator, Iterator, Sequence
+from email.parser import Parser
+from optparse import Values
+from typing import TYPE_CHECKING, cast
+
+from pip._vendor.packaging.utils import canonicalize_name
+from pip._vendor.packaging.version import InvalidVersion, Version
+
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.index_command import IndexGroupCommand
+from pip._internal.cli.status_codes import SUCCESS
+from pip._internal.exceptions import CommandError
+from pip._internal.metadata import BaseDistribution, get_environment
+from pip._internal.metadata.base import stdlib_pkgs
+from pip._internal.models.selection_prefs import SelectionPreferences
+from pip._internal.utils.misc import tabulate, write_output
+
+if TYPE_CHECKING:
+    from pip._internal.index.package_finder import PackageFinder
+    from pip._internal.network.session import PipSession
+
+    class _DistWithLatestInfo(BaseDistribution):
+        """Give the distribution object a couple of extra fields.
+
+        These will be populated during ``get_outdated()``. This is dirty but
+        makes the rest of the code much cleaner.
+        """
+
+        latest_version: Version
+        latest_filetype: str
+
+    _ProcessedDists = Sequence[_DistWithLatestInfo]
+
+
+logger = logging.getLogger(__name__)
+
+
+class ListCommand(IndexGroupCommand):
+    """
+    List installed packages, including editables.
+
+    Packages are listed in a case-insensitive sorted order.
+    """
+
+    ignore_require_venv = True
+    usage = """
+      %prog [options]"""
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            "-o",
+            "--outdated",
+            action="store_true",
+            default=False,
+            help="List outdated packages",
+        )
+        self.cmd_opts.add_option(
+            "-u",
+            "--uptodate",
+            action="store_true",
+            default=False,
+            help="List uptodate packages",
+        )
+        self.cmd_opts.add_option(
+            "-e",
+            "--editable",
+            action="store_true",
+            default=False,
+            help="List editable projects.",
+        )
+        self.cmd_opts.add_option(
+            "-l",
+            "--local",
+            action="store_true",
+            default=False,
+            help=(
+                "If in a virtualenv that has global access, do not list "
+                "globally-installed packages."
+            ),
+        )
+        self.cmd_opts.add_option(
+            "--user",
+            dest="user",
+            action="store_true",
+            default=False,
+            help="Only output packages installed in user-site.",
+        )
+        self.cmd_opts.add_option(cmdoptions.list_path())
+
+        self.cmd_opts.add_option(
+            "--format",
+            action="store",
+            dest="list_format",
+            default="columns",
+            choices=("columns", "freeze", "json"),
+            help=(
+                "Select the output format among: columns (default), freeze, or json. "
+                "The 'freeze' format cannot be used with the --outdated option."
+            ),
+        )
+
+        self.cmd_opts.add_option(
+            "--not-required",
+            action="store_true",
+            dest="not_required",
+            help="List packages that are not dependencies of installed packages.",
+        )
+
+        self.cmd_opts.add_option(
+            "--exclude-editable",
+            action="store_false",
+            dest="include_editable",
+            help="Exclude editable package from output.",
+        )
+        self.cmd_opts.add_option(
+            "--include-editable",
+            action="store_true",
+            dest="include_editable",
+            help="Include editable package in output.",
+            default=True,
+        )
+        self.cmd_opts.add_option(cmdoptions.list_exclude())
+        index_opts = cmdoptions.make_option_group(cmdoptions.index_group, self.parser)
+
+        selection_opts = cmdoptions.make_option_group(
+            cmdoptions.package_selection_group,
+            self.parser,
+        )
+
+        self.parser.insert_option_group(0, index_opts)
+        self.parser.insert_option_group(0, selection_opts)
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    @contextlib.contextmanager
+    def pip_version_check(self, options: Values, args: list[str]) -> Iterator[None]:
+        if not (options.outdated or options.uptodate):
+            yield
+            return
+        with super().pip_version_check(options, args):
+            yield
+
+    def _build_package_finder(
+        self, options: Values, session: PipSession
+    ) -> PackageFinder:
+        """
+        Create a package finder appropriate to this list command.
+        """
+        # Lazy import the heavy index modules as most list invocations won't need 'em.
+        from pip._internal.index.collector import LinkCollector
+        from pip._internal.index.package_finder import PackageFinder
+
+        link_collector = LinkCollector.create(session, options=options)
+
+        # Pass allow_yanked=False to ignore yanked versions.
+        selection_prefs = SelectionPreferences(
+            allow_yanked=False,
+            release_control=options.release_control,
+            format_control=options.format_control,
+            prefer_binary=options.prefer_binary,
+        )
+
+        return PackageFinder.create(
+            link_collector=link_collector,
+            selection_prefs=selection_prefs,
+            uploaded_prior_to=options.uploaded_prior_to,
+        )
+
+    def run(self, options: Values, args: list[str]) -> int:
+        cmdoptions.check_release_control_exclusive(options)
+
+        if options.outdated and options.uptodate:
+            raise CommandError("Options --outdated and --uptodate cannot be combined.")
+
+        if options.outdated and options.list_format == "freeze":
+            raise CommandError(
+                "List format 'freeze' cannot be used with the --outdated option."
+            )
+
+        cmdoptions.check_list_path_option(options)
+
+        packages: _ProcessedDists = [
+            cast("_DistWithLatestInfo", d)
+            for d in get_environment(options.path).iter_installed_distributions(
+                local_only=options.local,
+                user_only=options.user,
+                editables_only=options.editable,
+                include_editables=options.include_editable,
+                skip=set(stdlib_pkgs),
+            )
+        ]
+
+        # get_not_required must be called firstly in order to find and
+        # filter out all dependencies correctly. Otherwise a package
+        # can't be identified as requirement because some parent packages
+        # could be filtered out before.
+        if options.not_required:
+            packages = self.get_not_required(packages, options)
+
+        if options.excludes:
+            excluded_names = {canonicalize_name(n) for n in options.excludes}
+            packages = [
+                dist for dist in packages if dist.canonical_name not in excluded_names
+            ]
+
+        if options.outdated:
+            packages = self.get_outdated(packages, options)
+        elif options.uptodate:
+            packages = self.get_uptodate(packages, options)
+
+        self.output_package_listing(packages, options)
+        return SUCCESS
+
+    def get_outdated(
+        self, packages: _ProcessedDists, options: Values
+    ) -> _ProcessedDists:
+        return [
+            dist
+            for dist in self.iter_packages_latest_infos(packages, options)
+            if dist.latest_version > dist.version
+        ]
+
+    def get_uptodate(
+        self, packages: _ProcessedDists, options: Values
+    ) -> _ProcessedDists:
+        return [
+            dist
+            for dist in self.iter_packages_latest_infos(packages, options)
+            if dist.latest_version == dist.version
+        ]
+
+    def get_not_required(
+        self, packages: _ProcessedDists, options: Values
+    ) -> _ProcessedDists:
+        dep_keys = {
+            canonicalize_name(dep.name)
+            for dist in packages
+            for dep in (dist.iter_dependencies() or ())
+        }
+
+        # Create a set to remove duplicate packages, and cast it to a list
+        # to keep the return type consistent with get_outdated and
+        # get_uptodate
+        return list({pkg for pkg in packages if pkg.canonical_name not in dep_keys})
+
+    def iter_packages_latest_infos(
+        self, packages: _ProcessedDists, options: Values
+    ) -> Generator[_DistWithLatestInfo, None, None]:
+        with self._build_session(options) as session:
+            finder = self._build_package_finder(options, session)
+
+            def latest_info(
+                dist: _DistWithLatestInfo,
+            ) -> _DistWithLatestInfo | None:
+                all_candidates = finder.find_all_candidates(dist.canonical_name)
+                if self.should_exclude_prerelease(options, dist.canonical_name):
+                    all_candidates = [
+                        candidate
+                        for candidate in all_candidates
+                        if not candidate.version.is_prerelease
+                    ]
+
+                evaluator = finder.make_candidate_evaluator(
+                    project_name=dist.canonical_name,
+                )
+                best_candidate = evaluator.sort_best_candidate(all_candidates)
+                if best_candidate is None:
+                    return None
+
+                remote_version = best_candidate.version
+                if best_candidate.link.is_wheel:
+                    typ = "wheel"
+                else:
+                    typ = "sdist"
+                dist.latest_version = remote_version
+                dist.latest_filetype = typ
+                return dist
+
+            for dist in map(latest_info, packages):
+                if dist is not None:
+                    yield dist
+
+    def output_package_listing(
+        self, packages: _ProcessedDists, options: Values
+    ) -> None:
+        packages = sorted(
+            packages,
+            key=lambda dist: dist.canonical_name,
+        )
+        if options.list_format == "columns" and packages:
+            data, header = format_for_columns(packages, options)
+            self.output_package_listing_columns(data, header)
+        elif options.list_format == "freeze":
+            for dist in packages:
+                try:
+                    req_string = f"{dist.raw_name}=={dist.version}"
+                except InvalidVersion:
+                    req_string = f"{dist.raw_name}==={dist.raw_version}"
+                if options.verbose >= 1:
+                    write_output("%s (%s)", req_string, dist.location)
+                else:
+                    write_output(req_string)
+        elif options.list_format == "json":
+            write_output(format_for_json(packages, options))
+
+    def output_package_listing_columns(
+        self, data: list[list[str]], header: list[str]
+    ) -> None:
+        # insert the header first: we need to know the size of column names
+        if len(data) > 0:
+            data.insert(0, header)
+
+        pkg_strings, sizes = tabulate(data)
+
+        # Create and add a separator.
+        if len(data) > 0:
+            pkg_strings.insert(1, " ".join("-" * x for x in sizes))
+
+        for val in pkg_strings:
+            write_output(val)
+
+
+def format_for_columns(
+    pkgs: _ProcessedDists, options: Values
+) -> tuple[list[list[str]], list[str]]:
+    """
+    Convert the package data into something usable
+    by output_package_listing_columns.
+    """
+    header = ["Package", "Version"]
+
+    running_outdated = options.outdated
+    if running_outdated:
+        header.extend(["Latest", "Type"])
+
+    def wheel_build_tag(dist: BaseDistribution) -> str | None:
+        try:
+            wheel_file = dist.read_text("WHEEL")
+        except FileNotFoundError:
+            return None
+        return Parser().parsestr(wheel_file).get("Build")
+
+    build_tags = [wheel_build_tag(p) for p in pkgs]
+    has_build_tags = any(build_tags)
+    if has_build_tags:
+        header.append("Build")
+
+    has_editables = any(x.editable for x in pkgs)
+    if has_editables:
+        header.append("Editable project location")
+
+    if options.verbose >= 1:
+        header.append("Location")
+    if options.verbose >= 1:
+        header.append("Installer")
+
+    data = []
+    for i, proj in enumerate(pkgs):
+        # if we're working on the 'outdated' list, separate out the
+        # latest_version and type
+        row = [proj.raw_name, proj.raw_version]
+
+        if running_outdated:
+            row.append(str(proj.latest_version))
+            row.append(proj.latest_filetype)
+
+        if has_build_tags:
+            row.append(build_tags[i] or "")
+
+        if has_editables:
+            row.append(proj.editable_project_location or "")
+
+        if options.verbose >= 1:
+            row.append(proj.location or "")
+        if options.verbose >= 1:
+            row.append(proj.installer)
+
+        data.append(row)
+
+    return data, header
+
+
+def format_for_json(packages: _ProcessedDists, options: Values) -> str:
+    data = []
+    for dist in packages:
+        try:
+            version = str(dist.version)
+        except InvalidVersion:
+            version = dist.raw_version
+        info = {
+            "name": dist.raw_name,
+            "version": version,
+        }
+        if options.verbose >= 1:
+            info["location"] = dist.location or ""
+            info["installer"] = dist.installer
+        if options.outdated:
+            info["latest_version"] = str(dist.latest_version)
+            info["latest_filetype"] = dist.latest_filetype
+        editable_project_location = dist.editable_project_location
+        if editable_project_location:
+            info["editable_project_location"] = editable_project_location
+        data.append(info)
+    return json.dumps(data)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/lock.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/lock.py
new file mode 100644
index 0000000000000000000000000000000000000000..73df8649a88a3e4b7ec8a85ab2e20af5218f1d1a
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/lock.py
@@ -0,0 +1,173 @@
+import sys
+from optparse import Values
+from pathlib import Path
+
+from pip._vendor import tomli_w
+from pip._vendor.packaging.pylock import is_valid_pylock_path
+
+from pip._internal.cache import WheelCache
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.req_command import (
+    RequirementCommand,
+    with_cleanup,
+)
+from pip._internal.cli.status_codes import SUCCESS
+from pip._internal.operations.build.build_tracker import get_build_tracker
+from pip._internal.utils.logging import getLogger
+from pip._internal.utils.misc import (
+    get_pip_version,
+)
+from pip._internal.utils.pylock import pylock_from_install_requirements
+from pip._internal.utils.temp_dir import TempDirectory
+
+logger = getLogger(__name__)
+
+
+class LockCommand(RequirementCommand):
+    """
+    EXPERIMENTAL - Lock packages and their dependencies from:
+
+    - PyPI (and other indexes) using requirement specifiers.
+    - VCS project urls.
+    - Local project directories.
+    - Local or remote source archives.
+
+    pip also supports locking from "requirements files", which provide an easy
+    way to specify a whole environment to be installed.
+
+    The generated lock file is only guaranteed to be valid for the current
+    python version and platform.
+    """
+
+    usage = """
+      %prog [options] [-e]  ...
+      %prog [options]  [package-index-options] ...
+      %prog [options] -r  [package-index-options] ...
+      %prog [options]  ..."""
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            cmdoptions.PipOption(
+                "--output",
+                "-o",
+                dest="output_file",
+                metavar="path",
+                type="path",
+                default="pylock.toml",
+                help="Lock file name (default=pylock.toml). Use - for stdout.",
+            )
+        )
+        self.cmd_opts.add_option(cmdoptions.requirements())
+        self.cmd_opts.add_option(cmdoptions.requirements_from_scripts())
+        self.cmd_opts.add_option(cmdoptions.constraints())
+        self.cmd_opts.add_option(cmdoptions.build_constraints())
+        self.cmd_opts.add_option(cmdoptions.no_deps())
+        self.cmd_opts.add_option(cmdoptions.only_deps())
+
+        self.cmd_opts.add_option(cmdoptions.editable())
+
+        self.cmd_opts.add_option(cmdoptions.src())
+
+        self.cmd_opts.add_option(cmdoptions.ignore_requires_python())
+        self.cmd_opts.add_option(cmdoptions.no_build_isolation())
+        self.cmd_opts.add_option(cmdoptions.use_pep517())
+        self.cmd_opts.add_option(cmdoptions.check_build_deps())
+
+        self.cmd_opts.add_option(cmdoptions.config_settings())
+
+        self.cmd_opts.add_option(cmdoptions.require_hashes())
+        self.cmd_opts.add_option(cmdoptions.no_require_hashes())
+        self.cmd_opts.add_option(cmdoptions.progress_bar())
+
+        index_opts = cmdoptions.make_option_group(
+            cmdoptions.index_group,
+            self.parser,
+        )
+
+        selection_opts = cmdoptions.make_option_group(
+            cmdoptions.package_selection_group,
+            self.parser,
+        )
+
+        self.parser.insert_option_group(0, index_opts)
+        self.parser.insert_option_group(0, selection_opts)
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    @with_cleanup
+    def run(self, options: Values, args: list[str]) -> int:
+        logger.verbose("Using %s", get_pip_version())
+
+        logger.warning(
+            "pip lock is currently an experimental command. "
+            "It may be removed/changed in a future release "
+            "without prior warning."
+        )
+
+        cmdoptions.check_build_constraints(options)
+        cmdoptions.check_release_control_exclusive(options)
+        cmdoptions.check_only_deps_option_does_not_conflict(options)
+
+        session = self.get_default_session(options)
+
+        finder = self._build_package_finder(
+            options=options,
+            session=session,
+            ignore_requires_python=options.ignore_requires_python,
+        )
+        build_tracker = self.enter_context(get_build_tracker())
+
+        directory = TempDirectory(
+            delete=not options.no_clean,
+            kind="install",
+            globally_managed=True,
+        )
+
+        reqs = self.get_requirements(args, options, finder, session)
+
+        wheel_cache = WheelCache(options.cache_dir)
+
+        preparer = self.make_requirement_preparer(
+            temp_build_dir=directory,
+            options=options,
+            build_tracker=build_tracker,
+            session=session,
+            finder=finder,
+            use_user_site=False,
+            verbosity=self.verbosity,
+            allow_editables=True,
+        )
+        resolver = self.make_resolver(
+            preparer=preparer,
+            finder=finder,
+            options=options,
+            wheel_cache=wheel_cache,
+            use_user_site=False,
+            ignore_installed=True,
+            ignore_requires_python=options.ignore_requires_python,
+            upgrade_strategy="to-satisfy-only",
+        )
+
+        self.trace_basic_info(finder)
+
+        requirement_set = resolver.resolve(reqs, check_supported_wheels=True)
+
+        if options.output_file == "-":
+            base_dir = Path.cwd()
+        else:
+            output_file_path = Path(options.output_file)
+            if not is_valid_pylock_path(output_file_path):
+                logger.warning(
+                    "%s is not a valid lock file name.",
+                    output_file_path,
+                )
+            base_dir = output_file_path.parent
+        pylock = pylock_from_install_requirements(
+            requirement_set.requirements.values(), base_dir=base_dir
+        )
+        pylock_toml = tomli_w.dumps(pylock.to_dict())
+        if options.output_file == "-":
+            sys.stdout.write(pylock_toml)
+        else:
+            output_file_path.write_text(pylock_toml, encoding="utf-8")
+
+        return SUCCESS
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/search.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/search.py
new file mode 100644
index 0000000000000000000000000000000000000000..b8dbc27d3ac54112c5e1a96fc5c865b4a2de0e43
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/search.py
@@ -0,0 +1,178 @@
+from __future__ import annotations
+
+import logging
+import shutil
+import sys
+import textwrap
+import xmlrpc.client
+from collections import OrderedDict
+from optparse import Values
+from typing import TypedDict
+
+from pip._vendor.packaging.version import parse as parse_version
+
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.req_command import SessionCommandMixin
+from pip._internal.cli.status_codes import NO_MATCHES_FOUND, SUCCESS
+from pip._internal.exceptions import CommandError
+from pip._internal.metadata import get_default_environment
+from pip._internal.metadata.base import BaseDistribution
+from pip._internal.models.index import PyPI
+from pip._internal.network.xmlrpc import PipXmlrpcTransport
+from pip._internal.utils.logging import indent_log
+from pip._internal.utils.misc import write_output
+
+
+class TransformedHit(TypedDict):
+    name: str
+    summary: str
+    versions: list[str]
+
+
+logger = logging.getLogger(__name__)
+
+
+class SearchCommand(Command, SessionCommandMixin):
+    """Search for PyPI packages whose name or summary contains ."""
+
+    usage = """
+      %prog [options] """
+    ignore_require_venv = True
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            "-i",
+            "--index",
+            dest="index",
+            metavar="URL",
+            default=PyPI.pypi_url,
+            help="Base URL of Python Package Index (default %default)",
+        )
+
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    def run(self, options: Values, args: list[str]) -> int:
+        if not args:
+            raise CommandError("Missing required argument (search query).")
+        query = args
+        pypi_hits = self.search(query, options)
+        hits = transform_hits(pypi_hits)
+
+        terminal_width = None
+        if sys.stdout.isatty():
+            terminal_width = shutil.get_terminal_size()[0]
+
+        print_results(hits, terminal_width=terminal_width)
+        if pypi_hits:
+            return SUCCESS
+        return NO_MATCHES_FOUND
+
+    def search(self, query: list[str], options: Values) -> list[dict[str, str]]:
+        index_url = options.index
+
+        session = self.get_default_session(options)
+
+        transport = PipXmlrpcTransport(index_url, session)
+        pypi = xmlrpc.client.ServerProxy(index_url, transport)
+        try:
+            hits = pypi.search({"name": query, "summary": query}, "or")
+        except xmlrpc.client.Fault as fault:
+            message = (
+                f"XMLRPC request failed [code: {fault.faultCode}]\n{fault.faultString}"
+            )
+            raise CommandError(message)
+        assert isinstance(hits, list)
+        return hits
+
+
+def transform_hits(hits: list[dict[str, str]]) -> list[TransformedHit]:
+    """
+    The list from pypi is really a list of versions. We want a list of
+    packages with the list of versions stored inline. This converts the
+    list from pypi into one we can use.
+    """
+    packages: dict[str, TransformedHit] = OrderedDict()
+    for hit in hits:
+        name = hit["name"]
+        summary = hit["summary"]
+        version = hit["version"]
+
+        if name not in packages.keys():
+            packages[name] = {
+                "name": name,
+                "summary": summary,
+                "versions": [version],
+            }
+        else:
+            packages[name]["versions"].append(version)
+
+            # if this is the highest version, replace summary and score
+            if version == highest_version(packages[name]["versions"]):
+                packages[name]["summary"] = summary
+
+    return list(packages.values())
+
+
+def print_dist_installation_info(latest: str, dist: BaseDistribution | None) -> None:
+    if dist is not None:
+        with indent_log():
+            if dist.version == latest:
+                write_output("INSTALLED: %s (latest)", dist.version)
+            else:
+                write_output("INSTALLED: %s", dist.version)
+                if parse_version(latest).pre:
+                    write_output(
+                        "LATEST:    %s (pre-release; install"
+                        " with `pip install --pre`)",
+                        latest,
+                    )
+                else:
+                    write_output("LATEST:    %s", latest)
+
+
+def get_installed_distribution(name: str) -> BaseDistribution | None:
+    env = get_default_environment()
+    return env.get_distribution(name)
+
+
+def print_results(
+    hits: list[TransformedHit],
+    name_column_width: int | None = None,
+    terminal_width: int | None = None,
+) -> None:
+    if not hits:
+        return
+    if name_column_width is None:
+        name_column_width = (
+            max(
+                [
+                    len(hit["name"]) + len(highest_version(hit.get("versions", ["-"])))
+                    for hit in hits
+                ]
+            )
+            + 4
+        )
+
+    for hit in hits:
+        name = hit["name"]
+        summary = hit["summary"] or ""
+        latest = highest_version(hit.get("versions", ["-"]))
+        if terminal_width is not None:
+            target_width = terminal_width - name_column_width - 5
+            if target_width > 10:
+                # wrap and indent summary to fit terminal
+                summary_lines = textwrap.wrap(summary, target_width)
+                summary = ("\n" + " " * (name_column_width + 3)).join(summary_lines)
+
+        name_latest = f"{name} ({latest})"
+        line = f"{name_latest:{name_column_width}} - {summary}"
+        try:
+            write_output(line)
+            dist = get_installed_distribution(name)
+            print_dist_installation_info(latest, dist)
+        except UnicodeEncodeError:
+            pass
+
+
+def highest_version(versions: list[str]) -> str:
+    return max(versions, key=parse_version)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/show.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/show.py
new file mode 100644
index 0000000000000000000000000000000000000000..40601a2b9d98434e96e5f251642137852848f6d4
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/show.py
@@ -0,0 +1,237 @@
+from __future__ import annotations
+
+import logging
+import string
+from collections.abc import Generator, Iterable, Iterator
+from optparse import Values
+from typing import NamedTuple
+
+from pip._vendor.packaging.requirements import InvalidRequirement
+from pip._vendor.packaging.utils import canonicalize_name
+
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.status_codes import ERROR, SUCCESS
+from pip._internal.metadata import BaseDistribution, get_default_environment
+from pip._internal.utils.misc import write_output
+
+logger = logging.getLogger(__name__)
+
+
+def normalize_project_url_label(label: str) -> str:
+    # This logic is from PEP 753 (Well-known Project URLs in Metadata).
+    chars_to_remove = string.punctuation + string.whitespace
+    removal_map = str.maketrans("", "", chars_to_remove)
+    return label.translate(removal_map).lower()
+
+
+class ShowCommand(Command):
+    """
+    Show information about one or more installed packages.
+
+    The output is in RFC-compliant mail header format.
+    """
+
+    usage = """
+      %prog [options]  ..."""
+    ignore_require_venv = True
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            "-f",
+            "--files",
+            dest="files",
+            action="store_true",
+            default=False,
+            help="Show the full list of installed files for each package.",
+        )
+
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    def run(self, options: Values, args: list[str]) -> int:
+        if not args:
+            logger.warning("ERROR: Please provide a package name or names.")
+            return ERROR
+        query = args
+
+        results = search_packages_info(query, include_files=options.files)
+        if not print_results(
+            results, list_files=options.files, verbose=options.verbose
+        ):
+            return ERROR
+        return SUCCESS
+
+
+class _PackageInfo(NamedTuple):
+    name: str
+    version: str
+    location: str
+    editable_project_location: str | None
+    requires: list[str]
+    required_by: list[str]
+    installer: str
+    metadata_version: str
+    classifiers: list[str]
+    summary: str
+    homepage: str
+    project_urls: list[str]
+    author: str
+    author_email: str
+    license: str
+    license_expression: str
+    entry_points: list[str]
+    files: list[str] | None
+
+
+def search_packages_info(
+    query: list[str],
+    include_files: bool,
+) -> Generator[_PackageInfo, None, None]:
+    """
+    Gather details from installed distributions. Print distribution name,
+    version, location, and installed files. Installed files requires a
+    pip generated 'installed-files.txt' in the distributions '.egg-info'
+    directory.
+    """
+    env = get_default_environment()
+
+    installed = {dist.canonical_name: dist for dist in env.iter_all_distributions()}
+    query_names = [canonicalize_name(name) for name in query]
+    missing = sorted(
+        [name for name, pkg in zip(query, query_names) if pkg not in installed]
+    )
+    if missing:
+        logger.warning("Package(s) not found: %s", ", ".join(missing))
+
+    def _get_requiring_packages(current_dist: BaseDistribution) -> Iterator[str]:
+        return (
+            dist.metadata["Name"] or "UNKNOWN"
+            for dist in installed.values()
+            if current_dist.canonical_name
+            in {canonicalize_name(d.name) for d in dist.iter_dependencies()}
+        )
+
+    for query_name in query_names:
+        try:
+            dist = installed[query_name]
+        except KeyError:
+            continue
+
+        try:
+            requires = sorted(
+                # Avoid duplicates in requirements (e.g. due to environment markers).
+                {req.name for req in dist.iter_dependencies()},
+                key=str.lower,
+            )
+        except InvalidRequirement:
+            requires = sorted(dist.iter_raw_dependencies(), key=str.lower)
+
+        try:
+            required_by = sorted(_get_requiring_packages(dist), key=str.lower)
+        except InvalidRequirement:
+            required_by = ["#N/A"]
+
+        try:
+            entry_points_text = dist.read_text("entry_points.txt")
+            entry_points = entry_points_text.splitlines(keepends=False)
+        except FileNotFoundError:
+            entry_points = []
+
+        files: list[str] | None = None
+        if include_files:
+            files_iter = dist.iter_declared_entries()
+            if files_iter is not None:
+                files = sorted(files_iter)
+
+        metadata = dist.metadata
+
+        project_urls = metadata.get_all("Project-URL", [])
+        homepage = metadata.get("Home-page", "")
+        if not homepage:
+            # It's common that there is a "homepage" Project-URL, but Home-page
+            # remains unset (especially as PEP 621 doesn't surface the field).
+            for url in project_urls:
+                url_label, url = url.split(",", maxsplit=1)
+                normalized_label = normalize_project_url_label(url_label)
+                if normalized_label == "homepage":
+                    homepage = url.strip()
+                    break
+
+        yield _PackageInfo(
+            name=dist.raw_name,
+            version=dist.raw_version,
+            location=dist.location or "",
+            editable_project_location=dist.editable_project_location,
+            requires=requires,
+            required_by=required_by,
+            installer=dist.installer,
+            metadata_version=dist.metadata_version or "",
+            classifiers=metadata.get_all("Classifier", []),
+            summary=metadata.get("Summary", ""),
+            homepage=homepage,
+            project_urls=project_urls,
+            author=metadata.get("Author", ""),
+            author_email=metadata.get("Author-email", ""),
+            license=metadata.get("License", ""),
+            license_expression=metadata.get("License-Expression", ""),
+            entry_points=entry_points,
+            files=files,
+        )
+
+
+def print_results(
+    distributions: Iterable[_PackageInfo],
+    list_files: bool,
+    verbose: bool,
+) -> bool:
+    """
+    Print the information from installed distributions found.
+    """
+    results_printed = False
+    for i, dist in enumerate(distributions):
+        results_printed = True
+        if i > 0:
+            write_output("---")
+
+        metadata_version = dist.metadata_version
+        metadata_version_tuple = (
+            tuple(map(int, metadata_version.split("."))) if metadata_version else ()
+        )
+
+        write_output("Name: %s", dist.name)
+        write_output("Version: %s", dist.version)
+        write_output("Summary: %s", dist.summary)
+        write_output("Home-page: %s", dist.homepage)
+        write_output("Author: %s", dist.author)
+        write_output("Author-email: %s", dist.author_email)
+        if metadata_version_tuple >= (2, 4) and dist.license_expression:
+            write_output("License-Expression: %s", dist.license_expression)
+        else:
+            write_output("License: %s", dist.license)
+        write_output("Location: %s", dist.location)
+        if dist.editable_project_location is not None:
+            write_output(
+                "Editable project location: %s", dist.editable_project_location
+            )
+        write_output("Requires: %s", ", ".join(dist.requires))
+        write_output("Required-by: %s", ", ".join(dist.required_by))
+
+        if verbose:
+            write_output("Metadata-Version: %s", dist.metadata_version)
+            write_output("Installer: %s", dist.installer)
+            write_output("Classifiers:")
+            for classifier in dist.classifiers:
+                write_output("  %s", classifier)
+            write_output("Entry-points:")
+            for entry in dist.entry_points:
+                write_output("  %s", entry.strip())
+            write_output("Project-URLs:")
+            for project_url in dist.project_urls:
+                write_output("  %s", project_url)
+        if list_files:
+            write_output("Files:")
+            if dist.files is None:
+                write_output("Cannot locate RECORD or installed-files.txt")
+            else:
+                for line in dist.files:
+                    write_output("  %s", line.strip())
+    return results_printed
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/uninstall.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/uninstall.py
new file mode 100644
index 0000000000000000000000000000000000000000..9c4f031f934fd4aae78349e1c01eb4b765711357
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/uninstall.py
@@ -0,0 +1,113 @@
+import logging
+from optparse import Values
+
+from pip._vendor.packaging.utils import canonicalize_name
+
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.base_command import Command
+from pip._internal.cli.index_command import SessionCommandMixin
+from pip._internal.cli.status_codes import SUCCESS
+from pip._internal.exceptions import InstallationError
+from pip._internal.req import parse_requirements
+from pip._internal.req.constructors import (
+    install_req_from_line,
+    install_req_from_parsed_requirement,
+)
+from pip._internal.utils.misc import (
+    check_externally_managed,
+    protect_pip_from_modification_on_windows,
+    warn_if_run_as_root,
+)
+
+logger = logging.getLogger(__name__)
+
+
+class UninstallCommand(Command, SessionCommandMixin):
+    """
+    Uninstall packages.
+
+    pip is able to uninstall most installed packages. Known exceptions are:
+
+    - Pure distutils packages installed with ``python setup.py install``, which
+      leave behind no metadata to determine what files were installed.
+    - Script wrappers installed by ``python setup.py develop``.
+    """
+
+    usage = """
+      %prog [options]  ...
+      %prog [options] -r  ..."""
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            "-r",
+            "--requirement",
+            dest="requirements",
+            action="append",
+            default=[],
+            metavar="file",
+            help=(
+                "Uninstall all the packages listed in the given requirements "
+                "file.  This option can be used multiple times."
+            ),
+        )
+        self.cmd_opts.add_option(
+            "-y",
+            "--yes",
+            dest="yes",
+            action="store_true",
+            help="Don't ask for confirmation of uninstall deletions.",
+        )
+        self.cmd_opts.add_option(cmdoptions.root_user_action())
+        self.cmd_opts.add_option(cmdoptions.override_externally_managed())
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    def run(self, options: Values, args: list[str]) -> int:
+        session = self.get_default_session(options)
+
+        reqs_to_uninstall = {}
+        for name in args:
+            req = install_req_from_line(
+                name,
+                isolated=options.isolated_mode,
+            )
+            if req.name:
+                reqs_to_uninstall[canonicalize_name(req.name)] = req
+            else:
+                logger.warning(
+                    "Invalid requirement: %r ignored -"
+                    " the uninstall command expects named"
+                    " requirements.",
+                    name,
+                )
+        for filename in options.requirements:
+            for parsed_req in parse_requirements(
+                filename, options=options, session=session
+            ):
+                req = install_req_from_parsed_requirement(
+                    parsed_req, isolated=options.isolated_mode
+                )
+                if req.name:
+                    reqs_to_uninstall[canonicalize_name(req.name)] = req
+        if not reqs_to_uninstall:
+            raise InstallationError(
+                f"You must give at least one requirement to {self.name} (see "
+                f'"pip help {self.name}")'
+            )
+
+        if not options.override_externally_managed:
+            check_externally_managed()
+
+        protect_pip_from_modification_on_windows(
+            modifying_pip="pip" in reqs_to_uninstall
+        )
+
+        for req in reqs_to_uninstall.values():
+            uninstall_pathset = req.uninstall(
+                auto_confirm=options.yes,
+                verbose=self.verbosity > 0,
+            )
+            if uninstall_pathset:
+                uninstall_pathset.commit()
+        if options.root_user_action == "warn":
+            warn_if_run_as_root()
+        return SUCCESS
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/wheel.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/wheel.py
new file mode 100644
index 0000000000000000000000000000000000000000..ee25b8265d461def73fa3439029a03856b39196b
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/commands/wheel.py
@@ -0,0 +1,177 @@
+import logging
+import os
+import shutil
+from optparse import Values
+
+from pip._internal.cache import WheelCache
+from pip._internal.cli import cmdoptions
+from pip._internal.cli.req_command import RequirementCommand, with_cleanup
+from pip._internal.cli.status_codes import SUCCESS
+from pip._internal.exceptions import CommandError
+from pip._internal.operations.build.build_tracker import get_build_tracker
+from pip._internal.req.req_install import (
+    InstallRequirement,
+)
+from pip._internal.utils.misc import ensure_dir, normalize_path
+from pip._internal.utils.temp_dir import TempDirectory
+from pip._internal.wheel_builder import build
+
+logger = logging.getLogger(__name__)
+
+
+class WheelCommand(RequirementCommand):
+    """
+    Build Wheel archives for your requirements and dependencies.
+
+    Wheel is a built-package format, and offers the advantage of not
+    recompiling your software during every install. For more details, see the
+    wheel docs: https://wheel.readthedocs.io/en/latest/
+
+    'pip wheel' uses the build system interface as described here:
+    https://pip.pypa.io/en/stable/reference/build-system/
+
+    """
+
+    usage = """
+      %prog [options]  ...
+      %prog [options] -r  ...
+      %prog [options] [-e]  ...
+      %prog [options] [-e]  ...
+      %prog [options]  ..."""
+
+    def add_options(self) -> None:
+        self.cmd_opts.add_option(
+            "-w",
+            "--wheel-dir",
+            dest="wheel_dir",
+            metavar="dir",
+            default=os.curdir,
+            help=(
+                "Build wheels into , where the default is the "
+                "current working directory."
+            ),
+        )
+        self.cmd_opts.add_option(cmdoptions.no_build_isolation())
+        self.cmd_opts.add_option(cmdoptions.use_pep517())
+        self.cmd_opts.add_option(cmdoptions.check_build_deps())
+        self.cmd_opts.add_option(cmdoptions.constraints())
+        self.cmd_opts.add_option(cmdoptions.build_constraints())
+        self.cmd_opts.add_option(cmdoptions.editable())
+        self.cmd_opts.add_option(cmdoptions.requirements())
+        self.cmd_opts.add_option(cmdoptions.requirements_from_scripts())
+        self.cmd_opts.add_option(cmdoptions.src())
+        self.cmd_opts.add_option(cmdoptions.ignore_requires_python())
+        self.cmd_opts.add_option(cmdoptions.no_deps())
+        self.cmd_opts.add_option(cmdoptions.only_deps())
+        self.cmd_opts.add_option(cmdoptions.progress_bar())
+
+        self.cmd_opts.add_option(
+            "--no-verify",
+            dest="no_verify",
+            action="store_true",
+            default=False,
+            help="Don't verify if built wheel is valid.",
+        )
+
+        self.cmd_opts.add_option(cmdoptions.config_settings())
+
+        self.cmd_opts.add_option(cmdoptions.require_hashes())
+        self.cmd_opts.add_option(cmdoptions.no_require_hashes())
+
+        index_opts = cmdoptions.make_option_group(
+            cmdoptions.index_group,
+            self.parser,
+        )
+
+        selection_opts = cmdoptions.make_option_group(
+            cmdoptions.package_selection_group,
+            self.parser,
+        )
+
+        self.parser.insert_option_group(0, index_opts)
+        self.parser.insert_option_group(0, selection_opts)
+        self.parser.insert_option_group(0, self.cmd_opts)
+
+    @with_cleanup
+    def run(self, options: Values, args: list[str]) -> int:
+        cmdoptions.check_build_constraints(options)
+        cmdoptions.check_release_control_exclusive(options)
+        cmdoptions.check_only_deps_option_does_not_conflict(options)
+
+        session = self.get_default_session(options)
+
+        finder = self._build_package_finder(options, session)
+
+        options.wheel_dir = normalize_path(options.wheel_dir)
+        ensure_dir(options.wheel_dir)
+
+        build_tracker = self.enter_context(get_build_tracker())
+
+        directory = TempDirectory(
+            delete=not options.no_clean,
+            kind="wheel",
+            globally_managed=True,
+        )
+
+        reqs = self.get_requirements(args, options, finder, session)
+
+        wheel_cache = WheelCache(options.cache_dir)
+
+        preparer = self.make_requirement_preparer(
+            temp_build_dir=directory,
+            options=options,
+            build_tracker=build_tracker,
+            session=session,
+            finder=finder,
+            download_dir=options.wheel_dir,
+            use_user_site=False,
+            verbosity=self.verbosity,
+            allow_editables=False,
+        )
+
+        resolver = self.make_resolver(
+            preparer=preparer,
+            finder=finder,
+            options=options,
+            wheel_cache=wheel_cache,
+            ignore_requires_python=options.ignore_requires_python,
+        )
+
+        self.trace_basic_info(finder)
+
+        requirement_set = resolver.resolve(reqs, check_supported_wheels=True)
+
+        preparer.prepare_linked_requirements_more(requirement_set.requirements.values())
+
+        reqs_to_build: list[InstallRequirement] = []
+        for req in requirement_set.requirements.values():
+            if req.is_wheel:
+                preparer.save_linked_requirement(req)
+            else:
+                reqs_to_build.append(req)
+
+        # build wheels
+        build_successes, build_failures = build(
+            reqs_to_build,
+            wheel_cache=wheel_cache,
+            verify=(not options.no_verify),
+            allow_editables=False,
+        )
+        for req in build_successes:
+            assert req.link and req.link.is_wheel
+            assert req.local_file_path
+            # copy from cache to target directory
+            try:
+                shutil.copy(req.local_file_path, options.wheel_dir)
+            except OSError as e:
+                logger.warning(
+                    "Failed to copy built wheel %s to %s: %s",
+                    req.name,
+                    options.wheel_dir,
+                    e,
+                )
+                build_failures.append(req)
+        if len(build_failures) != 0:
+            raise CommandError("Failed to build one or more wheels")
+
+        return SUCCESS
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/configuration.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/configuration.py
new file mode 100644
index 0000000000000000000000000000000000000000..661d25e92da6ce949d6d52ee031d03823f0a5e1f
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/configuration.py
@@ -0,0 +1,395 @@
+"""Configuration management setup
+
+Some terminology:
+- name
+  As written in config files.
+- value
+  Value associated with a name
+- key
+  Name combined with it's section (section.name)
+- variant
+  A single word describing where the configuration key-value pair came from
+"""
+
+from __future__ import annotations
+
+import configparser
+import os
+import sys
+from collections.abc import Iterable
+from typing import Any, NewType
+
+from pip._internal.exceptions import (
+    ConfigurationError,
+    ConfigurationFileCouldNotBeLoaded,
+)
+from pip._internal.utils import appdirs
+from pip._internal.utils.compat import WINDOWS, get_locale_encoding
+from pip._internal.utils.logging import getLogger
+from pip._internal.utils.misc import ensure_dir, enum
+
+RawConfigParser = configparser.RawConfigParser  # Shorthand
+Kind = NewType("Kind", str)
+
+CONFIG_BASENAME = "pip.ini" if WINDOWS else "pip.conf"
+ENV_NAMES_IGNORED = "version", "help"
+
+# The kinds of configurations there are.
+kinds = enum(
+    USER="user",  # User Specific
+    GLOBAL="global",  # System Wide
+    SITE="site",  # [Virtual] Environment Specific
+    ENV="env",  # from PIP_CONFIG_FILE
+    ENV_VAR="env-var",  # from Environment Variables
+)
+OVERRIDE_ORDER = kinds.GLOBAL, kinds.USER, kinds.SITE, kinds.ENV, kinds.ENV_VAR
+VALID_LOAD_ONLY = kinds.USER, kinds.GLOBAL, kinds.SITE
+
+logger = getLogger(__name__)
+
+
+# NOTE: Maybe use the optionx attribute to normalize keynames.
+def _normalize_name(name: str) -> str:
+    """Make a name consistent regardless of source (environment or file)"""
+    name = name.lower().replace("_", "-")
+    name = name.removeprefix("--")  # only prefer long opts
+    return name
+
+
+def _disassemble_key(name: str) -> list[str]:
+    if "." not in name:
+        error_message = (
+            "Key does not contain dot separated section and key. "
+            f"Perhaps you wanted to use 'global.{name}' instead?"
+        )
+        raise ConfigurationError(error_message)
+    return name.split(".", 1)
+
+
+def get_configuration_files() -> dict[Kind, list[str]]:
+    global_config_files = [
+        os.path.join(path, CONFIG_BASENAME) for path in appdirs.site_config_dirs("pip")
+    ]
+
+    site_config_file = os.path.join(sys.prefix, CONFIG_BASENAME)
+    legacy_config_file = os.path.join(
+        os.path.expanduser("~"),
+        "pip" if WINDOWS else ".pip",
+        CONFIG_BASENAME,
+    )
+    new_config_file = os.path.join(appdirs.user_config_dir("pip"), CONFIG_BASENAME)
+    return {
+        kinds.GLOBAL: global_config_files,
+        kinds.SITE: [site_config_file],
+        kinds.USER: [legacy_config_file, new_config_file],
+    }
+
+
+class Configuration:
+    """Handles management of configuration.
+
+    Provides an interface to accessing and managing configuration files.
+
+    This class converts provides an API that takes "section.key-name" style
+    keys and stores the value associated with it as "key-name" under the
+    section "section".
+
+    This allows for a clean interface wherein the both the section and the
+    key-name are preserved in an easy to manage form in the configuration files
+    and the data stored is also nice.
+    """
+
+    def __init__(self, isolated: bool, load_only: Kind | None = None) -> None:
+        super().__init__()
+
+        if load_only is not None and load_only not in VALID_LOAD_ONLY:
+            raise ConfigurationError(
+                "Got invalid value for load_only - should be one of {}".format(
+                    ", ".join(map(repr, VALID_LOAD_ONLY))
+                )
+            )
+        self.isolated = isolated
+        self.load_only = load_only
+
+        # Because we keep track of where we got the data from
+        self._parsers: dict[Kind, list[tuple[str, RawConfigParser]]] = {
+            variant: [] for variant in OVERRIDE_ORDER
+        }
+        self._config: dict[Kind, dict[str, dict[str, Any]]] = {
+            variant: {} for variant in OVERRIDE_ORDER
+        }
+        self._modified_parsers: list[tuple[str, RawConfigParser]] = []
+
+    def load(self) -> None:
+        """Loads configuration from configuration files and environment"""
+        self._load_config_files()
+        if not self.isolated:
+            self._load_environment_vars()
+
+    def get_file_to_edit(self) -> str | None:
+        """Returns the file with highest priority in configuration"""
+        assert self.load_only is not None, "Need to be specified a file to be editing"
+
+        try:
+            return self._get_parser_to_modify()[0]
+        except IndexError:
+            return None
+
+    def items(self) -> Iterable[tuple[str, Any]]:
+        """Returns key-value pairs like dict.items() representing the loaded
+        configuration
+        """
+        return self._dictionary.items()
+
+    def get_value(self, key: str) -> Any:
+        """Get a value from the configuration."""
+        orig_key = key
+        key = _normalize_name(key)
+        try:
+            clean_config: dict[str, Any] = {}
+            for file_values in self._dictionary.values():
+                clean_config.update(file_values)
+            return clean_config[key]
+        except KeyError:
+            # disassembling triggers a more useful error message than simply
+            # "No such key" in the case that the key isn't in the form command.option
+            _disassemble_key(key)
+            raise ConfigurationError(f"No such key - {orig_key}")
+
+    def set_value(self, key: str, value: Any) -> None:
+        """Modify a value in the configuration."""
+        key = _normalize_name(key)
+        self._ensure_have_load_only()
+
+        assert self.load_only
+        fname, parser = self._get_parser_to_modify()
+
+        if parser is not None:
+            section, name = _disassemble_key(key)
+
+            # Modify the parser and the configuration
+            if not parser.has_section(section):
+                parser.add_section(section)
+            parser.set(section, name, value)
+
+        self._config[self.load_only].setdefault(fname, {})
+        self._config[self.load_only][fname][key] = value
+        self._mark_as_modified(fname, parser)
+
+    def unset_value(self, key: str) -> None:
+        """Unset a value in the configuration."""
+        orig_key = key
+        key = _normalize_name(key)
+        self._ensure_have_load_only()
+
+        assert self.load_only
+        fname, parser = self._get_parser_to_modify()
+
+        if (
+            key not in self._config[self.load_only][fname]
+            and key not in self._config[self.load_only]
+        ):
+            raise ConfigurationError(f"No such key - {orig_key}")
+
+        if parser is not None:
+            section, name = _disassemble_key(key)
+            if not (
+                parser.has_section(section) and parser.remove_option(section, name)
+            ):
+                # The option was not removed.
+                raise ConfigurationError(
+                    "Fatal Internal error [id=1]. Please report as a bug."
+                )
+
+            # The section may be empty after the option was removed.
+            if not parser.items(section):
+                parser.remove_section(section)
+            self._mark_as_modified(fname, parser)
+        try:
+            del self._config[self.load_only][fname][key]
+        except KeyError:
+            del self._config[self.load_only][key]
+
+    def save(self) -> None:
+        """Save the current in-memory state."""
+        self._ensure_have_load_only()
+
+        for fname, parser in self._modified_parsers:
+            logger.info("Writing to %s", fname)
+
+            # Ensure directory exists.
+            ensure_dir(os.path.dirname(fname))
+
+            # Ensure directory's permission(need to be writeable)
+            try:
+                with open(fname, "w") as f:
+                    parser.write(f)
+            except OSError as error:
+                raise ConfigurationError(
+                    f"An error occurred while writing to the configuration file "
+                    f"{fname}: {error}"
+                )
+
+    #
+    # Private routines
+    #
+
+    def _ensure_have_load_only(self) -> None:
+        if self.load_only is None:
+            raise ConfigurationError("Needed a specific file to be modifying.")
+        logger.debug("Will be working with %s variant only", self.load_only)
+
+    @property
+    def _dictionary(self) -> dict[str, dict[str, Any]]:
+        """A dictionary representing the loaded configuration."""
+        # NOTE: Dictionaries are not populated if not loaded. So, conditionals
+        #       are not needed here.
+        retval = {}
+
+        for variant in OVERRIDE_ORDER:
+            retval.update(self._config[variant])
+
+        return retval
+
+    def _load_config_files(self) -> None:
+        """Loads configuration from configuration files"""
+        config_files = dict(self.iter_config_files())
+        if config_files[kinds.ENV][0:1] == [os.devnull]:
+            logger.debug(
+                "Skipping loading configuration files due to "
+                "environment's PIP_CONFIG_FILE being os.devnull"
+            )
+            return
+
+        for variant, files in config_files.items():
+            for fname in files:
+                # If there's specific variant set in `load_only`, load only
+                # that variant, not the others.
+                if self.load_only is not None and variant != self.load_only:
+                    logger.debug("Skipping file '%s' (variant: %s)", fname, variant)
+                    continue
+
+                parser = self._load_file(variant, fname)
+
+                # Keeping track of the parsers used
+                self._parsers[variant].append((fname, parser))
+
+    def _load_file(self, variant: Kind, fname: str) -> RawConfigParser:
+        logger.verbose("For variant '%s', will try loading '%s'", variant, fname)
+        parser = self._construct_parser(fname)
+
+        for section in parser.sections():
+            items = parser.items(section)
+            self._config[variant].setdefault(fname, {})
+            self._config[variant][fname].update(self._normalized_keys(section, items))
+
+        return parser
+
+    def _construct_parser(self, fname: str) -> RawConfigParser:
+        parser = configparser.RawConfigParser()
+        # If there is no such file, don't bother reading it but create the
+        # parser anyway, to hold the data.
+        # Doing this is useful when modifying and saving files, where we don't
+        # need to construct a parser.
+        if os.path.exists(fname):
+            locale_encoding = get_locale_encoding()
+            try:
+                parser.read(fname, encoding=locale_encoding)
+            except UnicodeDecodeError:
+                # See https://github.com/pypa/pip/issues/4963
+                raise ConfigurationFileCouldNotBeLoaded(
+                    reason=f"contains invalid {locale_encoding} characters",
+                    fname=fname,
+                )
+            except configparser.Error as error:
+                # See https://github.com/pypa/pip/issues/4893
+                raise ConfigurationFileCouldNotBeLoaded(error=error)
+        return parser
+
+    def _load_environment_vars(self) -> None:
+        """Loads configuration from environment variables"""
+        self._config[kinds.ENV_VAR].setdefault(":env:", {})
+        self._config[kinds.ENV_VAR][":env:"].update(
+            self._normalized_keys(":env:", self.get_environ_vars())
+        )
+
+    def _normalized_keys(
+        self, section: str, items: Iterable[tuple[str, Any]]
+    ) -> dict[str, Any]:
+        """Normalizes items to construct a dictionary with normalized keys.
+
+        This routine is where the names become keys and are made the same
+        regardless of source - configuration files or environment.
+        """
+        normalized = {}
+        for name, val in items:
+            key = section + "." + _normalize_name(name)
+            normalized[key] = val
+        return normalized
+
+    def get_environ_vars(self) -> Iterable[tuple[str, str]]:
+        """Returns a generator with all environmental vars with prefix PIP_"""
+        for key, val in os.environ.items():
+            if key.startswith("PIP_"):
+                name = key[4:].lower()
+                if name not in ENV_NAMES_IGNORED:
+                    yield name, val
+
+    # XXX: This is patched in the tests.
+    def iter_config_files(self) -> Iterable[tuple[Kind, list[str]]]:
+        """Yields variant and configuration files associated with it.
+
+        This should be treated like items of a dictionary. The order
+        here doesn't affect what gets overridden. That is controlled
+        by OVERRIDE_ORDER. However this does control the order they are
+        displayed to the user. It's probably most ergonomic to display
+        things in the same order as OVERRIDE_ORDER
+        """
+        # SMELL: Move the conditions out of this function
+
+        env_config_file = os.environ.get("PIP_CONFIG_FILE", None)
+        config_files = get_configuration_files()
+
+        yield kinds.GLOBAL, config_files[kinds.GLOBAL]
+
+        # per-user config is not loaded when env_config_file exists
+        should_load_user_config = not self.isolated and not (
+            env_config_file and os.path.exists(env_config_file)
+        )
+        if should_load_user_config:
+            # The legacy config file is overridden by the new config file
+            yield kinds.USER, config_files[kinds.USER]
+
+        # virtualenv config
+        yield kinds.SITE, config_files[kinds.SITE]
+
+        if env_config_file is not None:
+            yield kinds.ENV, [env_config_file]
+        else:
+            yield kinds.ENV, []
+
+    def get_values_in_config(self, variant: Kind) -> dict[str, Any]:
+        """Get values present in a config file"""
+        return self._config[variant]
+
+    def _get_parser_to_modify(self) -> tuple[str, RawConfigParser]:
+        # Determine which parser to modify
+        assert self.load_only
+        parsers = self._parsers[self.load_only]
+        if not parsers:
+            # This should not happen if everything works correctly.
+            raise ConfigurationError(
+                "Fatal Internal error [id=2]. Please report as a bug."
+            )
+
+        # Use the highest priority parser.
+        return parsers[-1]
+
+    # XXX: This is patched in the tests.
+    def _mark_as_modified(self, fname: str, parser: RawConfigParser) -> None:
+        file_parser_tuple = (fname, parser)
+        if file_parser_tuple not in self._modified_parsers:
+            self._modified_parsers.append(file_parser_tuple)
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}({self._dictionary!r})"
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..9a89a838b9a5cb264e9ae9d269fbedca6e2d6333
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/__init__.py
@@ -0,0 +1,21 @@
+from pip._internal.distributions.base import AbstractDistribution
+from pip._internal.distributions.sdist import SourceDistribution
+from pip._internal.distributions.wheel import WheelDistribution
+from pip._internal.req.req_install import InstallRequirement
+
+
+def make_distribution_for_install_requirement(
+    install_req: InstallRequirement,
+) -> AbstractDistribution:
+    """Returns a Distribution for the given InstallRequirement"""
+    # Editable requirements will always be source distributions. They use the
+    # legacy logic until we create a modern standard for them.
+    if install_req.editable:
+        return SourceDistribution(install_req)
+
+    # If it's a wheel, it's a WheelDistribution
+    if install_req.is_wheel:
+        return WheelDistribution(install_req)
+
+    # Otherwise, a SourceDistribution
+    return SourceDistribution(install_req)
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/base.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/base.py
new file mode 100644
index 0000000000000000000000000000000000000000..66cc5426d8aba95491324ce6170e7fbd141c78b5
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/base.py
@@ -0,0 +1,57 @@
+from __future__ import annotations
+
+import abc
+from typing import TYPE_CHECKING
+
+from pip._internal.metadata.base import BaseDistribution
+from pip._internal.req import InstallRequirement
+
+if TYPE_CHECKING:
+    from pip._internal.build_env import BuildEnvironmentInstaller, BuildIsolationMode
+
+
+class AbstractDistribution(metaclass=abc.ABCMeta):
+    """A base class for handling installable artifacts.
+
+    The requirements for anything installable are as follows:
+
+     - we must be able to determine the requirement name
+       (or we can't correctly handle the non-upgrade case).
+
+     - for packages with setup requirements, we must also be able
+       to determine their requirements without installing additional
+       packages (for the same reason as run-time dependencies)
+
+     - we must be able to create a Distribution object exposing the
+       above metadata.
+
+     - if we need to do work in the build tracker, we must be able to generate a unique
+       string to identify the requirement in the build tracker.
+    """
+
+    def __init__(self, req: InstallRequirement) -> None:
+        super().__init__()
+        self.req = req
+
+    @property
+    @abc.abstractmethod
+    def build_tracker_id(self) -> str | None:
+        """A string that uniquely identifies this requirement to the build tracker.
+
+        If None, then this dist has no work to do in the build tracker, and
+        ``.prepare_distribution_metadata()`` will not be called."""
+        raise NotImplementedError()
+
+    @abc.abstractmethod
+    def get_metadata_distribution(self) -> BaseDistribution:
+        raise NotImplementedError()
+
+    @abc.abstractmethod
+    def prepare_distribution_metadata(
+        self,
+        build_env_installer: BuildEnvironmentInstaller,
+        build_isolation: BuildIsolationMode,
+        check_build_deps: bool,
+        allow_editables: bool,
+    ) -> None:
+        raise NotImplementedError()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/installed.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/installed.py
new file mode 100644
index 0000000000000000000000000000000000000000..06cff259a4ddd9233a3bc46835e93a3fb1130f7a
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/installed.py
@@ -0,0 +1,34 @@
+from __future__ import annotations
+
+from typing import TYPE_CHECKING
+
+from pip._internal.distributions.base import AbstractDistribution
+from pip._internal.metadata import BaseDistribution
+
+if TYPE_CHECKING:
+    from pip._internal.build_env import BuildEnvironmentInstaller, BuildIsolationMode
+
+
+class InstalledDistribution(AbstractDistribution):
+    """Represents an installed package.
+
+    This does not need any preparation as the required information has already
+    been computed.
+    """
+
+    @property
+    def build_tracker_id(self) -> str | None:
+        return None
+
+    def get_metadata_distribution(self) -> BaseDistribution:
+        assert self.req.satisfied_by is not None, "not actually installed"
+        return self.req.satisfied_by
+
+    def prepare_distribution_metadata(
+        self,
+        build_env_installer: BuildEnvironmentInstaller,
+        build_isolation: BuildIsolationMode,
+        check_build_deps: bool,
+        allow_editables: bool,
+    ) -> None:
+        pass
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/sdist.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/sdist.py
new file mode 100644
index 0000000000000000000000000000000000000000..fad25db47c93a3c31d7255a020ce9524d908512d
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/sdist.py
@@ -0,0 +1,193 @@
+from __future__ import annotations
+
+import logging
+from collections.abc import Iterable
+from contextlib import nullcontext
+from typing import TYPE_CHECKING
+
+from pip._internal.build_env import (
+    BuildIsolationMode,
+    NoOpBuildEnvironment,
+    VenvBuildEnvironment,
+    VirtualBuildEnvironment,
+)
+from pip._internal.distributions.base import AbstractDistribution
+from pip._internal.exceptions import InstallationError
+from pip._internal.metadata import BaseDistribution
+from pip._internal.utils.subprocess import runner_with_spinner_message
+
+if TYPE_CHECKING:
+    from pip._internal.build_env import BuildEnvironmentInstaller
+
+logger = logging.getLogger(__name__)
+
+
+class SourceDistribution(AbstractDistribution):
+    """Represents a source distribution.
+
+    The preparation step for these needs metadata for the packages to be
+    generated.
+    """
+
+    @property
+    def build_tracker_id(self) -> str | None:
+        """Identify this requirement uniquely by its link."""
+        assert self.req.link
+        return self.req.link.url_without_fragment
+
+    def get_metadata_distribution(self) -> BaseDistribution:
+        return self.req.get_dist()
+
+    def prepare_distribution_metadata(
+        self,
+        build_env_installer: BuildEnvironmentInstaller,
+        build_isolation: BuildIsolationMode,
+        check_build_deps: bool,
+        allow_editables: bool,
+    ) -> None:
+        # Load pyproject.toml and set up backend environment
+        self.req.load_pyproject_toml()
+        self._prepare_build_env(build_isolation, build_env_installer)
+
+        # Set up the build isolation, if this requirement should be isolated
+        if build_isolation != "off":
+            # Setup an isolated environment and install the build backend static
+            # requirements in it.
+            self._prepare_build_backend(build_isolation)
+            # Check that the build backend supports PEP 660. This cannot be done
+            # earlier because we need to setup the build backend to verify it
+            # supports build_editable, nor can it be done later, because we want
+            # to avoid installing build requirements needlessly.
+            self.req.editable_sanity_check()
+            # Install the dynamic build requirements.
+            self._install_build_reqs(
+                build_env_installer, build_isolation, allow_editables=allow_editables
+            )
+        else:
+            # When not using build isolation, we still need to check that
+            # the build backend supports PEP 660.
+            self.req.editable_sanity_check()
+        # Check if the current environment provides build dependencies
+        if check_build_deps:
+            pyproject_requires = self.req.pyproject_requires
+            assert pyproject_requires is not None
+            conflicting, missing = self.req.build_env.check_requirements(
+                pyproject_requires
+            )
+            if conflicting:
+                self._raise_conflicts("the backend dependencies", conflicting)
+            if missing:
+                self._raise_missing_reqs(missing)
+        self.req.prepare_metadata(allow_editables)
+
+    def _prepare_build_env(
+        self,
+        build_isolation: BuildIsolationMode,
+        build_env_installer: BuildEnvironmentInstaller,
+    ) -> None:
+        if build_isolation == "virtual":
+            self.req.build_env = VirtualBuildEnvironment(build_env_installer)
+        elif build_isolation == "venv":
+            self.req.build_env = VenvBuildEnvironment(build_env_installer)
+
+        self.req.configure_backend(self.req.build_env.python_executable)
+
+    def _prepare_build_backend(self, build_isolation: BuildIsolationMode) -> None:
+        # Install the pyproject.toml declared build-time requirements.
+        pyproject_requires = self.req.pyproject_requires
+        assert pyproject_requires is not None
+        assert not isinstance(self.req.build_env, NoOpBuildEnvironment)
+
+        context = self.req.build_env if build_isolation == "venv" else nullcontext()
+        with context:
+            self.req.build_env.install_requirements(
+                pyproject_requires,
+                "overlay",
+                kind="build dependencies",
+                for_req=self.req,
+            )
+        conflicting, missing = self.req.build_env.check_requirements(
+            self.req.requirements_to_check
+        )
+        if conflicting:
+            self._raise_conflicts("PEP 517/518 supported requirements", conflicting)
+        if missing:
+            logger.warning(
+                "Missing build requirements in pyproject.toml for %s.",
+                self.req,
+            )
+            logger.warning(
+                "The project does not specify a build backend, and "
+                "pip cannot fall back to setuptools without %s.",
+                " and ".join(map(repr, sorted(missing))),
+            )
+
+    def _get_build_requires_wheel(self) -> Iterable[str]:
+        with self.req.build_env:
+            runner = runner_with_spinner_message("Getting requirements to build wheel")
+            backend = self.req.pep517_backend
+            assert backend is not None
+            with backend.subprocess_runner(runner):
+                return backend.get_requires_for_build_wheel()
+
+    def _get_build_requires_editable(self) -> Iterable[str]:
+        with self.req.build_env:
+            runner = runner_with_spinner_message(
+                "Getting requirements to build editable"
+            )
+            backend = self.req.pep517_backend
+            assert backend is not None
+            with backend.subprocess_runner(runner):
+                return backend.get_requires_for_build_editable()
+
+    def _install_build_reqs(
+        self,
+        build_env_installer: BuildEnvironmentInstaller,
+        build_isolation: BuildIsolationMode,
+        allow_editables: bool,
+    ) -> None:
+        # Install any extra build dependencies that the backend requests.
+        # This must be done in a second pass, as the pyproject.toml
+        # dependencies must be installed before we can call the backend.
+        if (
+            self.req.editable
+            and allow_editables
+            and self.req.supports_pyproject_editable
+        ):
+            build_reqs = self._get_build_requires_editable()
+        else:
+            build_reqs = self._get_build_requires_wheel()
+        conflicting, missing = self.req.build_env.check_requirements(build_reqs)
+        if conflicting:
+            self._raise_conflicts("the backend dependencies", conflicting)
+        context = self.req.build_env if build_isolation == "venv" else nullcontext()
+        with context:
+            self.req.build_env.install_requirements(
+                missing, "normal", kind="backend dependencies", for_req=self.req
+            )
+
+    def _raise_conflicts(
+        self, conflicting_with: str, conflicting_reqs: set[tuple[str, str]]
+    ) -> None:
+        format_string = (
+            "Some build dependencies for {requirement} "
+            "conflict with {conflicting_with}: {description}."
+        )
+        error_message = format_string.format(
+            requirement=self.req,
+            conflicting_with=conflicting_with,
+            description=", ".join(
+                f"{installed} is incompatible with {wanted}"
+                for installed, wanted in sorted(conflicting_reqs)
+            ),
+        )
+        raise InstallationError(error_message)
+
+    def _raise_missing_reqs(self, missing: set[str]) -> None:
+        format_string = (
+            "Some build dependencies for {requirement} are missing: {missing}."
+        )
+        error_message = format_string.format(
+            requirement=self.req, missing=", ".join(map(repr, sorted(missing)))
+        )
+        raise InstallationError(error_message)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/wheel.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/wheel.py
new file mode 100644
index 0000000000000000000000000000000000000000..8f2a217fd596bda398193a17d813495930ecdb1d
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/distributions/wheel.py
@@ -0,0 +1,45 @@
+from __future__ import annotations
+
+from typing import TYPE_CHECKING
+
+from pip._vendor.packaging.utils import canonicalize_name
+
+from pip._internal.distributions.base import AbstractDistribution
+from pip._internal.metadata import (
+    BaseDistribution,
+    FilesystemWheel,
+    get_wheel_distribution,
+)
+
+if TYPE_CHECKING:
+    from pip._internal.build_env import BuildEnvironmentInstaller, BuildIsolationMode
+
+
+class WheelDistribution(AbstractDistribution):
+    """Represents a wheel distribution.
+
+    This does not need any preparation as wheels can be directly unpacked.
+    """
+
+    @property
+    def build_tracker_id(self) -> str | None:
+        return None
+
+    def get_metadata_distribution(self) -> BaseDistribution:
+        """Loads the metadata from the wheel file into memory and returns a
+        Distribution that uses it, not relying on the wheel file or
+        requirement.
+        """
+        assert self.req.local_file_path, "Set as part of preparation during download"
+        assert self.req.name, "Wheels are never unnamed"
+        wheel = FilesystemWheel(self.req.local_file_path)
+        return get_wheel_distribution(wheel, canonicalize_name(self.req.name))
+
+    def prepare_distribution_metadata(
+        self,
+        build_env_installer: BuildEnvironmentInstaller,
+        build_isolation: BuildIsolationMode,
+        check_build_deps: bool,
+        allow_editables: bool,
+    ) -> None:
+        pass
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/exceptions.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/exceptions.py
new file mode 100644
index 0000000000000000000000000000000000000000..b2d1e1d8c92a491dc0c993856033efcea4736280
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/exceptions.py
@@ -0,0 +1,1145 @@
+"""Exceptions used throughout package.
+
+This module MUST NOT try to import from anything within `pip._internal` to
+operate. This is expected to be importable from any/all files within the
+subpackage and, thus, should not depend on them.
+"""
+
+from __future__ import annotations
+
+import configparser
+import contextlib
+import locale
+import logging
+import os
+import pathlib
+import re
+import sys
+import traceback
+from collections.abc import Iterable, Iterator
+from itertools import chain, groupby, repeat
+from typing import TYPE_CHECKING, Literal
+
+from pip._vendor.packaging.requirements import InvalidRequirement
+from pip._vendor.packaging.version import InvalidVersion
+from pip._vendor.rich.console import Console, ConsoleOptions, RenderResult
+from pip._vendor.rich.markup import escape
+from pip._vendor.rich.text import Text
+
+if TYPE_CHECKING:
+    from hashlib import _Hash
+
+    from pip._vendor import urllib3
+    from pip._vendor.requests.models import PreparedRequest, Request, Response
+
+    from pip._internal.metadata import BaseDistribution
+    from pip._internal.models.link import Link
+    from pip._internal.network.download import _FileDownload
+    from pip._internal.req.req_install import InstallRequirement
+
+logger = logging.getLogger(__name__)
+
+
+#
+# Scaffolding
+#
+def _is_kebab_case(s: str) -> bool:
+    return re.match(r"^[a-z]+(-[a-z]+)*$", s) is not None
+
+
+def _prefix_with_indent(
+    s: Text | str,
+    console: Console,
+    *,
+    prefix: str,
+    indent: str,
+) -> Text:
+    if isinstance(s, Text):
+        text = s
+    else:
+        text = console.render_str(s)
+
+    return console.render_str(prefix, overflow="ignore") + console.render_str(
+        f"\n{indent}", overflow="ignore"
+    ).join(text.split(allow_blank=True))
+
+
+class PipError(Exception):
+    """The base pip error."""
+
+
+class DiagnosticPipError(PipError):
+    """An error, that presents diagnostic information to the user.
+
+    This contains a bunch of logic, to enable pretty presentation of our error
+    messages. Each error gets a unique reference. Each error can also include
+    additional context, a hint and/or a note -- which are presented with the
+    main error message in a consistent style.
+
+    This is adapted from the error output styling in `sphinx-theme-builder`.
+    """
+
+    reference: str
+
+    def __init__(
+        self,
+        *,
+        kind: Literal["error", "warning"] = "error",
+        reference: str | None = None,
+        message: str | Text,
+        context: str | Text | None,
+        hint_stmt: str | Text | None,
+        note_stmt: str | Text | None = None,
+        link: str | None = None,
+    ) -> None:
+        # Ensure a proper reference is provided.
+        if reference is None:
+            assert hasattr(self, "reference"), "error reference not provided!"
+            reference = self.reference
+        assert _is_kebab_case(reference), "error reference must be kebab-case!"
+
+        self.kind = kind
+        self.reference = reference
+
+        self.message = message
+        self.context = context
+
+        self.note_stmt = note_stmt
+        self.hint_stmt = hint_stmt
+
+        self.link = link
+
+        super().__init__(f"<{self.__class__.__name__}: {self.reference}>")
+
+    def __repr__(self) -> str:
+        return (
+            f"<{self.__class__.__name__}("
+            f"reference={self.reference!r}, "
+            f"message={self.message!r}, "
+            f"context={self.context!r}, "
+            f"note_stmt={self.note_stmt!r}, "
+            f"hint_stmt={self.hint_stmt!r}"
+            ")>"
+        )
+
+    def __rich_console__(
+        self,
+        console: Console,
+        options: ConsoleOptions,
+    ) -> RenderResult:
+        colour = "red" if self.kind == "error" else "yellow"
+
+        yield f"[{colour} bold]{self.kind}[/]: [bold]{self.reference}[/]"
+        yield ""
+
+        if not options.ascii_only:
+            # Present the main message, with relevant context indented.
+            if self.context is not None:
+                yield _prefix_with_indent(
+                    self.message,
+                    console,
+                    prefix=f"[{colour}]×[/] ",
+                    indent=f"[{colour}]│[/] ",
+                )
+                yield _prefix_with_indent(
+                    self.context,
+                    console,
+                    prefix=f"[{colour}]╰─>[/] ",
+                    indent=f"[{colour}]   [/] ",
+                )
+            else:
+                yield _prefix_with_indent(
+                    self.message,
+                    console,
+                    prefix="[red]×[/] ",
+                    indent="  ",
+                )
+        else:
+            yield self.message
+            if self.context is not None:
+                yield ""
+                yield self.context
+
+        if self.note_stmt is not None or self.hint_stmt is not None:
+            yield ""
+
+        if self.note_stmt is not None:
+            yield _prefix_with_indent(
+                self.note_stmt,
+                console,
+                prefix="[magenta bold]note[/]: ",
+                indent="      ",
+            )
+        if self.hint_stmt is not None:
+            yield _prefix_with_indent(
+                self.hint_stmt,
+                console,
+                prefix="[cyan bold]hint[/]: ",
+                indent="      ",
+            )
+
+        if self.link is not None:
+            yield ""
+            yield f"Link: {self.link}"
+
+
+#
+# Actual Errors
+#
+class ConfigurationError(PipError):
+    """General exception in configuration"""
+
+
+class InstallationError(PipError):
+    """General exception during installation"""
+
+
+class FailedToPrepareCandidate(InstallationError):
+    """Raised when we fail to prepare a candidate (i.e. fetch and generate metadata).
+
+    This is intentionally not a diagnostic error, since the output will be presented
+    above this error, when this occurs. This should instead present information to the
+    user.
+    """
+
+    def __init__(
+        self, *, package_name: str, requirement_chain: str, failed_step: str
+    ) -> None:
+        super().__init__(f"Failed to build '{package_name}' when {failed_step.lower()}")
+        self.package_name = package_name
+        self.requirement_chain = requirement_chain
+        self.failed_step = failed_step
+
+
+class MissingPyProjectBuildRequires(DiagnosticPipError):
+    """Raised when pyproject.toml has `build-system`, but no `build-system.requires`."""
+
+    reference = "missing-pyproject-build-system-requires"
+
+    def __init__(self, *, package: str) -> None:
+        super().__init__(
+            message=f"Can not process {escape(package)}",
+            context=Text(
+                "This package has an invalid pyproject.toml file.\n"
+                "The [build-system] table is missing the mandatory `requires` key."
+            ),
+            note_stmt="This is an issue with the package mentioned above, not pip.",
+            hint_stmt=Text("See PEP 518 for the detailed specification."),
+        )
+
+
+class InvalidPyProjectBuildRequires(DiagnosticPipError):
+    """Raised when pyproject.toml an invalid `build-system.requires`."""
+
+    reference = "invalid-pyproject-build-system-requires"
+
+    def __init__(self, *, package: str, reason: str) -> None:
+        super().__init__(
+            message=f"Can not process {escape(package)}",
+            context=Text(
+                "This package has an invalid `build-system.requires` key in "
+                f"pyproject.toml.\n{reason}"
+            ),
+            note_stmt="This is an issue with the package mentioned above, not pip.",
+            hint_stmt=Text("See PEP 518 for the detailed specification."),
+        )
+
+
+class NoneMetadataError(PipError):
+    """Raised when accessing a Distribution's "METADATA" or "PKG-INFO".
+
+    This signifies an inconsistency, when the Distribution claims to have
+    the metadata file (if not, raise ``FileNotFoundError`` instead), but is
+    not actually able to produce its content. This may be due to permission
+    errors.
+    """
+
+    def __init__(
+        self,
+        dist: BaseDistribution,
+        metadata_name: str,
+    ) -> None:
+        """
+        :param dist: A Distribution object.
+        :param metadata_name: The name of the metadata being accessed
+            (can be "METADATA" or "PKG-INFO").
+        """
+        self.dist = dist
+        self.metadata_name = metadata_name
+
+    def __str__(self) -> str:
+        # Use `dist` in the error message because its stringification
+        # includes more information, like the version and location.
+        return f"None {self.metadata_name} metadata found for distribution: {self.dist}"
+
+
+class UserInstallationInvalid(InstallationError):
+    """A --user install is requested on an environment without user site."""
+
+    def __str__(self) -> str:
+        return "User base directory is not specified"
+
+
+class InvalidSchemeCombination(InstallationError):
+    def __str__(self) -> str:
+        before = ", ".join(str(a) for a in self.args[:-1])
+        return f"Cannot set {before} and {self.args[-1]} together"
+
+
+class DistributionNotFound(InstallationError):
+    """Raised when a distribution cannot be found to satisfy a requirement"""
+
+
+class RequirementsFileParseError(InstallationError):
+    """Raised when a general error occurs parsing a requirements file line."""
+
+
+class BestVersionAlreadyInstalled(PipError):
+    """Raised when the most up-to-date version of a package is already
+    installed."""
+
+
+class BadCommand(PipError):
+    """Raised when virtualenv or a command is not found"""
+
+
+class CommandError(PipError):
+    """Raised when there is an error in command-line arguments"""
+
+
+class PreviousBuildDirError(PipError):
+    """Raised when there's a previous conflicting build directory"""
+
+
+class NetworkConnectionError(PipError):
+    """HTTP connection error"""
+
+    def __init__(
+        self,
+        error_msg: str,
+        response: Response | None = None,
+        request: Request | PreparedRequest | None = None,
+    ) -> None:
+        """
+        Initialize NetworkConnectionError with  `request` and `response`
+        objects.
+        """
+        self.response = response
+        self.request = request
+        self.error_msg = error_msg
+        if (
+            self.response is not None
+            and not self.request
+            and hasattr(response, "request")
+        ):
+            self.request = self.response.request
+        super().__init__(error_msg, response, request)
+
+    def __str__(self) -> str:
+        return str(self.error_msg)
+
+
+class ConnectionFailedError(DiagnosticPipError):
+    reference = "connection-failed"
+
+    def __init__(self, url: str, host: str, error: Exception) -> None:
+        from http.client import RemoteDisconnected
+
+        from pip._vendor.urllib3.exceptions import (
+            NameResolutionError,
+            NewConnectionError,
+            ProtocolError,
+        )
+
+        details = str(error)
+        if isinstance(error, NameResolutionError):
+            parts = details.split("Failed to resolve ", maxsplit=1)
+            if len(parts) == 2:
+                details = "Failed to resolve IP address for " + parts[1]
+        elif isinstance(error, NewConnectionError):
+            parts = details.split("Failed to establish a new connection: ", maxsplit=1)
+            if len(parts) == 2:
+                _, details = parts
+        elif isinstance(error, ProtocolError):
+            try:
+                reason = error.args[1]
+            except IndexError:
+                pass
+            else:
+                if isinstance(reason, (RemoteDisconnected, ConnectionResetError)):
+                    details = (
+                        "the connection was closed without a reply from the server."
+                    )
+
+        super().__init__(
+            message=(
+                f"Failed to connect to [magenta]{escape(host)}[/] while fetching "
+                f"{escape(url)}"
+            ),
+            context=Text(details),
+            hint_stmt=(
+                "Are you connected to the Internet? If so, check whether your system "
+                f"can connect to [magenta]{escape(host)}[/] before trying again. "
+                "There may be a firewall or proxy that's preventing the connection."
+            ),
+        )
+
+
+class ConnectionTimeoutError(DiagnosticPipError):
+    reference = "connection-timeout"
+
+    def __init__(
+        self,
+        url: str,
+        host: str,
+        *,
+        kind: Literal["connect", "read"],
+        timeout: float,
+    ) -> None:
+        context = Text.assemble(
+            (host, "magenta"), f" didn't respond within {timeout} seconds"
+        )
+        if kind == "connect":
+            context.append(" (while establishing a connection)")
+        super().__init__(
+            message=f"Unable to fetch {escape(url)}",
+            context=context,
+            hint_stmt=(
+                "This is probably a temporary issue with the remote server or the "
+                "network connection. If this error persists, check the network "
+                "configuration. There may be a firewall or proxy that's preventing "
+                "the connection."
+            ),
+        )
+
+
+class SSLMissingError(DiagnosticPipError):
+    reference = "ssl-missing"
+
+    def __init__(self, url: str) -> None:
+        super().__init__(
+            message=f"Failed to establish a secure connection for {escape(url)}",
+            context="The 'ssl' module is unavailable but required for HTTPS URLs",
+            hint_stmt=None,
+        )
+
+
+class SSLVerificationError(DiagnosticPipError):
+    reference = "ssl-verification-failed"
+
+    def __init__(self, url: str, host: str, error: urllib3.exceptions.SSLError) -> None:
+        message = (
+            "Failed to establish a secure connection to "
+            f"[magenta]{escape(host)}[/] while fetching {escape(url)}"
+        )
+        hint = "You may need to use --cert or check your proxy/firewall configuration"
+        super().__init__(message=message, context=Text(str(error)), hint_stmt=hint)
+
+
+class ProxyConnectionError(DiagnosticPipError):
+    reference = "proxy-connection-failed"
+
+    def __init__(
+        self, url: str, proxy: str, error: urllib3.exceptions.ProxyError
+    ) -> None:
+        super().__init__(
+            message=(
+                "Failed to connect to proxy "
+                f"[magenta]{escape(proxy)}[/] while fetching {escape(url)}"
+            ),
+            context=Text(str(error)),
+            hint_stmt="This is likely a proxy configuration issue.",
+        )
+
+
+class InvalidWheelFilename(InstallationError):
+    """Invalid wheel filename."""
+
+
+class UnsupportedWheel(InstallationError):
+    """Unsupported wheel."""
+
+
+class InvalidWheel(InstallationError):
+    """Invalid (e.g. corrupt) wheel."""
+
+    def __init__(self, location: str, name: str):
+        self.location = location
+        self.name = name
+
+    def __str__(self) -> str:
+        return f"Wheel '{self.name}' located at {self.location} is invalid."
+
+
+class MetadataInconsistent(InstallationError):
+    """Built metadata contains inconsistent information.
+
+    This is raised when the metadata contains values (e.g. name and version)
+    that do not match the information previously obtained from sdist filename,
+    user-supplied ``#egg=`` value, or an install requirement name.
+    """
+
+    def __init__(
+        self, ireq: InstallRequirement, field: str, f_val: str, m_val: str
+    ) -> None:
+        self.ireq = ireq
+        self.field = field
+        self.f_val = f_val
+        self.m_val = m_val
+
+    def __str__(self) -> str:
+        return (
+            f"Requested {self.ireq} has inconsistent {self.field}: "
+            f"expected {self.f_val!r}, but metadata has {self.m_val!r}"
+        )
+
+
+class SidecarMetadataInconsistent(MetadataInconsistent):
+    """The wheel's METADATA disagrees with its PEP 658 ``.metadata`` file.
+
+    Raised after the wheel has been downloaded and hash-verified, when a
+    resolver-affecting field in the wheel's embedded ``METADATA`` does not
+    match the value taken from the remote ``.metadata`` sidecar that drove
+    resolution. ``f_val`` is the sidecar value, ``m_val`` is the wheel value.
+    """
+
+    def __str__(self) -> str:
+        return (
+            f"Requested {self.ireq} has inconsistent {self.field} between "
+            f"its PEP 658 .metadata file and the wheel's METADATA: "
+            f"sidecar has {self.f_val!r}, wheel has {self.m_val!r}"
+        )
+
+
+class MetadataInvalid(InstallationError):
+    """Metadata is invalid."""
+
+    def __init__(self, ireq: InstallRequirement, error: str) -> None:
+        self.ireq = ireq
+        self.error = error
+
+    def __str__(self) -> str:
+        return f"Requested {self.ireq} has invalid metadata: {self.error}"
+
+
+class InstallationSubprocessError(DiagnosticPipError, InstallationError):
+    """A subprocess call failed."""
+
+    reference = "subprocess-exited-with-error"
+
+    def __init__(
+        self,
+        *,
+        command_description: str,
+        exit_code: int,
+        output_lines: list[str] | None,
+    ) -> None:
+        if output_lines is None:
+            output_prompt = Text("No available output.")
+        else:
+            output_prompt = (
+                Text.from_markup(f"[red][{len(output_lines)} lines of output][/]\n")
+                + Text("".join(output_lines))
+                + Text.from_markup(R"[red]\[end of output][/]")
+            )
+
+        super().__init__(
+            message=(
+                f"[green]{escape(command_description)}[/] did not run successfully.\n"
+                f"exit code: {exit_code}"
+            ),
+            context=output_prompt,
+            hint_stmt=None,
+            note_stmt=(
+                "This error originates from a subprocess, and is likely not a "
+                "problem with pip."
+            ),
+        )
+
+        self.command_description = command_description
+        self.exit_code = exit_code
+
+    def __str__(self) -> str:
+        return f"{self.command_description} exited with {self.exit_code}"
+
+
+class MetadataGenerationFailed(DiagnosticPipError, InstallationError):
+    reference = "metadata-generation-failed"
+
+    def __init__(
+        self,
+        *,
+        package_details: str,
+    ) -> None:
+        super().__init__(
+            message="Encountered error while generating package metadata.",
+            context=escape(package_details),
+            hint_stmt="See above for details.",
+            note_stmt="This is an issue with the package mentioned above, not pip.",
+        )
+
+    def __str__(self) -> str:
+        return "metadata generation failed"
+
+
+class HashErrors(InstallationError):
+    """Multiple HashError instances rolled into one for reporting"""
+
+    def __init__(self) -> None:
+        self.errors: list[HashError] = []
+
+    def append(self, error: HashError) -> None:
+        self.errors.append(error)
+
+    def __str__(self) -> str:
+        lines = []
+        self.errors.sort(key=lambda e: e.order)
+        for cls, errors_of_cls in groupby(self.errors, lambda e: e.__class__):
+            lines.append(cls.head)
+            lines.extend(e.body() for e in errors_of_cls)
+        if lines:
+            return "\n".join(lines)
+        return ""
+
+    def __bool__(self) -> bool:
+        return bool(self.errors)
+
+
+class HashError(InstallationError):
+    """
+    A failure to verify a package against known-good hashes
+
+    :cvar order: An int sorting hash exception classes by difficulty of
+        recovery (lower being harder), so the user doesn't bother fretting
+        about unpinned packages when he has deeper issues, like VCS
+        dependencies, to deal with. Also keeps error reports in a
+        deterministic order.
+    :cvar head: A section heading for display above potentially many
+        exceptions of this kind
+    :ivar req: The InstallRequirement that triggered this error. This is
+        pasted on after the exception is instantiated, because it's not
+        typically available earlier.
+
+    """
+
+    req: InstallRequirement | None = None
+    head = ""
+    order: int = -1
+
+    def body(self) -> str:
+        """Return a summary of me for display under the heading.
+
+        This default implementation simply prints a description of the
+        triggering requirement.
+
+        :param req: The InstallRequirement that provoked this error, with
+            its link already populated by the resolver's _populate_link().
+
+        """
+        return f"    {self._requirement_name()}"
+
+    def __str__(self) -> str:
+        return f"{self.head}\n{self.body()}"
+
+    def _requirement_name(self) -> str:
+        """Return a description of the requirement that triggered me.
+
+        This default implementation returns long description of the req, with
+        line numbers
+
+        """
+        return str(self.req) if self.req else "unknown package"
+
+
+class VcsHashUnsupported(HashError):
+    """A hash was provided for a version-control-system-based requirement, but
+    we don't have a method for hashing those."""
+
+    order = 0
+    head = (
+        "Can't verify hashes for these requirements because we don't "
+        "have a way to hash version control repositories:"
+    )
+
+
+class DirectoryUrlHashUnsupported(HashError):
+    """A hash was provided for a version-control-system-based requirement, but
+    we don't have a method for hashing those."""
+
+    order = 1
+    head = (
+        "Can't verify hashes for these file:// requirements because they "
+        "point to directories:"
+    )
+
+
+class HashMissing(HashError):
+    """A hash was needed for a requirement but is absent."""
+
+    order = 2
+    head = (
+        "Hashes are required in --require-hashes mode, but they are "
+        "missing from some requirements. Here is a list of those "
+        "requirements along with the hashes their downloaded archives "
+        "actually had. Add lines like these to your requirements files to "
+        "prevent tampering. (If you did not enable --require-hashes "
+        "manually, note that it turns on automatically when any package "
+        "has a hash.)"
+    )
+
+    def __init__(self, gotten_hash: str) -> None:
+        """
+        :param gotten_hash: The hash of the (possibly malicious) archive we
+            just downloaded
+        """
+        self.gotten_hash = gotten_hash
+
+    def body(self) -> str:
+        # Dodge circular import.
+        from pip._internal.utils.hashes import FAVORITE_HASH
+
+        package = None
+        if self.req:
+            # In the case of URL-based requirements, display the original URL
+            # seen in the requirements file rather than the package name,
+            # so the output can be directly copied into the requirements file.
+            package = (
+                self.req.original_link
+                if self.req.is_direct
+                # In case someone feeds something downright stupid
+                # to InstallRequirement's constructor.
+                else getattr(self.req, "req", None)
+            )
+        return "    {} --hash={}:{}".format(
+            package or "unknown package", FAVORITE_HASH, self.gotten_hash
+        )
+
+
+class HashUnpinned(HashError):
+    """A requirement had a hash specified but was not pinned to a specific
+    version."""
+
+    order = 3
+    head = (
+        "In --require-hashes mode, all requirements must have their "
+        "versions pinned with ==. These do not:"
+    )
+
+
+class HashMismatch(HashError):
+    """
+    Distribution file hash values don't match.
+
+    :ivar package_name: The name of the package that triggered the hash
+        mismatch. Feel free to write to this after the exception is raise to
+        improve its error message.
+
+    """
+
+    order = 4
+    head = (
+        "THESE PACKAGES DO NOT MATCH THE HASHES FROM THE REQUIREMENTS "
+        "FILE. If you have updated the package versions, please update "
+        "the hashes. Otherwise, examine the package contents carefully; "
+        "someone may have tampered with them."
+    )
+
+    def __init__(self, allowed: dict[str, list[str]], gots: dict[str, _Hash]) -> None:
+        """
+        :param allowed: A dict of algorithm names pointing to lists of allowed
+            hex digests
+        :param gots: A dict of algorithm names pointing to hashes we
+            actually got from the files under suspicion
+        """
+        self.allowed = allowed
+        self.gots = gots
+
+    def body(self) -> str:
+        return f"    {self._requirement_name()}:\n{self._hash_comparison()}"
+
+    def _hash_comparison(self) -> str:
+        """
+        Return a comparison of actual and expected hash values.
+
+        Example::
+
+               Expected sha256 abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde
+                            or 123451234512345123451234512345123451234512345
+                    Got        bcdefbcdefbcdefbcdefbcdefbcdefbcdefbcdefbcdef
+
+        """
+
+        def hash_then_or(hash_name: str) -> chain[str]:
+            # For now, all the decent hashes have 6-char names, so we can get
+            # away with hard-coding space literals.
+            return chain([hash_name], repeat("    or"))
+
+        lines: list[str] = []
+        for hash_name, expecteds in self.allowed.items():
+            prefix = hash_then_or(hash_name)
+            lines.extend((f"        Expected {next(prefix)} {e}") for e in expecteds)
+            lines.append(
+                f"             Got        {self.gots[hash_name].hexdigest()}\n"
+            )
+        return "\n".join(lines)
+
+
+class UnsupportedPythonVersion(InstallationError):
+    """Unsupported python version according to Requires-Python package
+    metadata."""
+
+
+class ConfigurationFileCouldNotBeLoaded(ConfigurationError):
+    """When there are errors while loading a configuration file"""
+
+    def __init__(
+        self,
+        reason: str = "could not be loaded",
+        fname: str | None = None,
+        error: configparser.Error | None = None,
+    ) -> None:
+        super().__init__(error)
+        self.reason = reason
+        self.fname = fname
+        self.error = error
+
+    def __str__(self) -> str:
+        if self.fname is not None:
+            message_part = f" in {self.fname}."
+        else:
+            assert self.error is not None
+            message_part = f".\n{self.error}\n"
+        return f"Configuration file {self.reason}{message_part}"
+
+
+_DEFAULT_EXTERNALLY_MANAGED_ERROR = f"""\
+The Python environment under {sys.prefix} is managed externally, and may not be
+manipulated by the user. Please use specific tooling from the distributor of
+the Python installation to interact with this environment instead.
+"""
+
+
+class ExternallyManagedEnvironment(DiagnosticPipError):
+    """The current environment is externally managed.
+
+    This is raised when the current environment is externally managed, as
+    defined by `PEP 668`_. The ``EXTERNALLY-MANAGED`` configuration is checked
+    and displayed when the error is bubbled up to the user.
+
+    :param error: The error message read from ``EXTERNALLY-MANAGED``.
+    """
+
+    reference = "externally-managed-environment"
+
+    def __init__(self, error: str | None) -> None:
+        if error is None:
+            context = Text(_DEFAULT_EXTERNALLY_MANAGED_ERROR)
+        else:
+            context = Text(error)
+        super().__init__(
+            message="This environment is externally managed",
+            context=context,
+            note_stmt=(
+                "If you believe this is a mistake, please contact your "
+                "Python installation or OS distribution provider. "
+                "You can override this, at the risk of breaking your Python "
+                "installation or OS, by passing --break-system-packages."
+            ),
+            hint_stmt=Text("See PEP 668 for the detailed specification."),
+        )
+
+    @staticmethod
+    def _iter_externally_managed_error_keys() -> Iterator[str]:
+        # LC_MESSAGES is in POSIX, but not the C standard. The most common
+        # platform that does not implement this category is Windows, where
+        # using other categories for console message localization is equally
+        # unreliable, so we fall back to the locale-less vendor message. This
+        # can always be re-evaluated when a vendor proposes a new alternative.
+        try:
+            category = locale.LC_MESSAGES
+        except AttributeError:
+            lang: str | None = None
+        else:
+            lang, _ = locale.getlocale(category)
+        if lang is not None:
+            yield f"Error-{lang}"
+            for sep in ("-", "_"):
+                before, found, _ = lang.partition(sep)
+                if not found:
+                    continue
+                yield f"Error-{before}"
+        yield "Error"
+
+    @classmethod
+    def from_config(
+        cls,
+        config: pathlib.Path | str,
+    ) -> ExternallyManagedEnvironment:
+        parser = configparser.ConfigParser(interpolation=None)
+        try:
+            parser.read(config, encoding="utf-8")
+            section = parser["externally-managed"]
+            for key in cls._iter_externally_managed_error_keys():
+                with contextlib.suppress(KeyError):
+                    return cls(section[key])
+        except KeyError:
+            pass
+        except (OSError, UnicodeDecodeError, configparser.ParsingError):
+            from pip._internal.utils._log import VERBOSE
+
+            exc_info = logger.isEnabledFor(VERBOSE)
+            logger.warning("Failed to read %s", config, exc_info=exc_info)
+        return cls(None)
+
+
+class UninstallMissingRecord(DiagnosticPipError):
+    reference = "uninstall-no-record-file"
+
+    def __init__(self, *, distribution: BaseDistribution) -> None:
+        installer = distribution.installer
+        if not installer or installer == "pip":
+            dep = f"{distribution.raw_name}=={distribution.version}"
+            hint = Text.assemble(
+                "You might be able to recover from this via: ",
+                (f"pip install --ignore-installed --no-deps {dep}", "green"),
+            )
+        else:
+            hint = Text(
+                f"The package was installed by {installer}. "
+                "You should check if it can uninstall the package."
+            )
+
+        super().__init__(
+            message=Text(f"Cannot uninstall {distribution}"),
+            context=(
+                "The package's contents are unknown: "
+                f"no RECORD file was found for {distribution.raw_name}."
+            ),
+            hint_stmt=hint,
+        )
+
+
+class LegacyDistutilsInstall(DiagnosticPipError):
+    reference = "uninstall-distutils-installed-package"
+
+    def __init__(self, *, distribution: BaseDistribution) -> None:
+        super().__init__(
+            message=Text(f"Cannot uninstall {distribution}"),
+            context=(
+                "It is a distutils installed project and thus we cannot accurately "
+                "determine which files belong to it which would lead to only a partial "
+                "uninstall."
+            ),
+            hint_stmt=None,
+        )
+
+
+class InvalidInstalledPackage(DiagnosticPipError):
+    reference = "invalid-installed-package"
+
+    def __init__(
+        self,
+        *,
+        dist: BaseDistribution,
+        invalid_exc: InvalidRequirement | InvalidVersion,
+    ) -> None:
+        installed_location = dist.installed_location
+
+        if isinstance(invalid_exc, InvalidRequirement):
+            invalid_type = "requirement"
+        else:
+            invalid_type = "version"
+
+        super().__init__(
+            message=Text(
+                f"Cannot process installed package {dist} "
+                + (f"in {installed_location!r} " if installed_location else "")
+                + f"because it has an invalid {invalid_type}:\n{invalid_exc.args[0]}"
+            ),
+            context=(
+                "Starting with pip 24.1, packages with invalid "
+                f"{invalid_type}s can not be processed."
+            ),
+            hint_stmt="To proceed this package must be uninstalled.",
+        )
+
+
+class IncompleteDownloadError(DiagnosticPipError):
+    """Raised when the downloader receives fewer bytes than advertised
+    in the Content-Length header."""
+
+    reference = "incomplete-download"
+
+    def __init__(self, download: _FileDownload) -> None:
+        # Dodge circular import.
+        from pip._internal.utils.misc import format_size
+
+        assert download.size is not None
+        download_status = (
+            f"{format_size(download.bytes_received)}/{format_size(download.size)}"
+        )
+        if download.reattempts:
+            retry_status = f"after {download.reattempts + 1} attempts "
+            hint = "Use --resume-retries to configure resume attempt limit."
+        else:
+            # Download retrying is not enabled.
+            retry_status = ""
+            hint = "Consider using --resume-retries to enable download resumption."
+        message = Text(
+            f"Download failed {retry_status}because not enough bytes "
+            f"were received ({download_status})"
+        )
+
+        super().__init__(
+            message=message,
+            context=f"URL: {download.link.redacted_url}",
+            hint_stmt=hint,
+            note_stmt="This is an issue with network connectivity, not pip.",
+        )
+
+
+class ResolutionTooDeepError(DiagnosticPipError):
+    """Raised when the dependency resolver exceeds the maximum recursion depth."""
+
+    reference = "resolution-too-deep"
+
+    def __init__(self) -> None:
+        super().__init__(
+            message="Dependency resolution exceeded maximum depth",
+            context=(
+                "Pip cannot resolve the current dependencies as the dependency graph "
+                "is too complex for pip to solve efficiently."
+            ),
+            hint_stmt=(
+                "Try adding lower bounds to constrain your dependencies, "
+                "for example: 'package>=2.0.0' instead of just 'package'. "
+            ),
+            link="https://pip.pypa.io/en/stable/topics/dependency-resolution/#handling-resolution-too-deep-errors",
+        )
+
+
+class InstallWheelBuildError(DiagnosticPipError):
+    reference = "failed-wheel-build-for-install"
+
+    def __init__(self, failed: list[InstallRequirement]) -> None:
+        super().__init__(
+            message=(
+                "Failed to build installable wheels for some "
+                "pyproject.toml based projects"
+            ),
+            context=", ".join(r.name for r in failed),  # type: ignore
+            hint_stmt=None,
+        )
+
+
+class InvalidEggFragment(DiagnosticPipError):
+    reference = "invalid-egg-fragment"
+
+    def __init__(self, link: Link, fragment: str) -> None:
+        hint = ""
+        if ">" in fragment or "=" in fragment or "<" in fragment:
+            hint = (
+                "Version specifiers are silently ignored for URL references. "
+                "Remove them. "
+            )
+        if "[" in fragment and "]" in fragment:
+            hint += "Try using the Direct URL requirement syntax: 'name[extra] @ URL'"
+
+        if not hint:
+            hint = "Egg fragments can only be a valid project name."
+
+        super().__init__(
+            message=f"The '{escape(fragment)}' egg fragment is invalid",
+            context=f"from '{escape(str(link))}'",
+            hint_stmt=escape(hint),
+        )
+
+
+class BuildDependencyInstallError(DiagnosticPipError):
+    """Raised when build dependencies cannot be installed."""
+
+    reference = "failed-build-dependency-install"
+
+    def __init__(
+        self,
+        req: InstallRequirement | None,
+        build_reqs: Iterable[str],
+        *,
+        cause: Exception,
+        log_lines: list[str] | None,
+    ) -> None:
+        if isinstance(cause, PipError):
+            note = "This is likely not a problem with pip."
+        else:
+            note = (
+                "pip crashed unexpectedly. Please file an issue on pip's issue "
+                "tracker: https://github.com/pypa/pip/issues/new"
+            )
+
+        if log_lines is None:
+            # No logs are available, they must have been printed earlier.
+            context = Text("See above for more details.")
+        else:
+            if isinstance(cause, PipError):
+                log_lines.append(f"ERROR: {cause}")
+            else:
+                # Split rendered error into real lines without trailing newlines.
+                log_lines.extend(
+                    "".join(traceback.format_exception(cause)).splitlines()
+                )
+
+            context = Text.assemble(
+                f"Installing {' '.join(build_reqs)}\n",
+                (f"[{len(log_lines)} lines of output]\n", "red"),
+                "\n".join(log_lines),
+                ("\n[end of output]", "red"),
+            )
+
+        message = Text("Cannot install build dependencies", "green")
+        if req:
+            message += Text(f" for {req}")
+        super().__init__(
+            message=message, context=context, hint_stmt=None, note_stmt=note
+        )
+
+
+class VenvImportError(DiagnosticPipError):
+    """Raised when 'venv' can't be imported."""
+
+    reference = "venv-import-error"
+
+    def __init__(self) -> None:
+        if sys.platform != "linux":
+            hint_stmt = None
+        else:
+            hint_stmt = (
+                "If this is an OS-provided Python, it's likely that your OS "
+                "package maintainers have split Python's standard library across "
+                "multiple OS packages."
+            )
+        super().__init__(
+            message="Cannot import the 'venv' module of the Python standard library",
+            context=(
+                "This is a symptom of a broken/modified Python, which cannot be used "
+                "with pip."
+            ),
+            note_stmt="This is an issue with the Python installation itself, not pip.",
+            hint_stmt=hint_stmt,
+        )
+
+
+class VenvCreationError(DiagnosticPipError):
+    """Raised when a virtual environment can't be created."""
+
+    reference = "venv-creation-error"
+
+    def __init__(self, context: str) -> None:
+        if os.name == "nt":
+            hint = "This may be caused by running antivirus software."
+        else:
+            hint = None
+        super().__init__(
+            message="Cannot create a virtual environment",
+            context=Text(context),
+            hint_stmt=hint,
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..197dd757de979bf116810a678a9c07baeaa7dba1
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/__init__.py
@@ -0,0 +1 @@
+"""Index interaction code"""
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/__pycache__/__init__.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/collector.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/collector.py
new file mode 100644
index 0000000000000000000000000000000000000000..a77c3985d3cbfef2a463398cf3a5cf0c0f6990ee
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/collector.py
@@ -0,0 +1,510 @@
+"""
+The main purpose of this module is to expose LinkCollector.collect_sources().
+"""
+
+from __future__ import annotations
+
+import collections
+import email.message
+import functools
+import itertools
+import json
+import logging
+import os
+import urllib.parse
+from collections.abc import Callable, Iterable, MutableMapping, Sequence
+from dataclasses import dataclass
+from html.parser import HTMLParser
+from optparse import Values
+from typing import (
+    NamedTuple,
+    Protocol,
+)
+
+from pip._vendor.packaging.utils import canonicalize_name
+from pip._vendor.requests import Response
+from pip._vendor.requests.exceptions import RetryError
+
+from pip._internal.exceptions import (
+    ConnectionFailedError,
+    ConnectionTimeoutError,
+    NetworkConnectionError,
+    ProxyConnectionError,
+    SSLMissingError,
+    SSLVerificationError,
+)
+from pip._internal.models.link import Link
+from pip._internal.models.search_scope import SearchScope
+from pip._internal.network.session import PipSession
+from pip._internal.network.utils import raise_for_status
+from pip._internal.utils.filetypes import is_archive_file
+from pip._internal.utils.misc import redact_auth_from_url
+from pip._internal.utils.urls import url_to_path
+from pip._internal.vcs import vcs
+
+from .sources import CandidatesFromPage, LinkSource, build_source
+
+logger = logging.getLogger(__name__)
+
+ResponseHeaders = MutableMapping[str, str]
+
+
+def _match_vcs_scheme(url: str) -> str | None:
+    """Look for VCS schemes in the URL.
+
+    Returns the matched VCS scheme, or None if there's no match.
+    """
+    for scheme in vcs.schemes:
+        if url.lower().startswith(scheme) and url[len(scheme)] in "+:":
+            return scheme
+    return None
+
+
+class _NotAPIContent(Exception):
+    def __init__(self, content_type: str, request_desc: str) -> None:
+        super().__init__(content_type, request_desc)
+        self.content_type = content_type
+        self.request_desc = request_desc
+
+
+def _ensure_api_header(response: Response) -> None:
+    """
+    Check the Content-Type header to ensure the response contains a Simple
+    API Response.
+
+    Raises `_NotAPIContent` if the content type is not a valid content-type.
+    """
+    content_type = response.headers.get("Content-Type", "Unknown")
+
+    content_type_l = content_type.lower()
+    if content_type_l.startswith(
+        (
+            "text/html",
+            "application/vnd.pypi.simple.v1+html",
+            "application/vnd.pypi.simple.v1+json",
+        )
+    ):
+        return
+
+    raise _NotAPIContent(content_type, response.request.method)  # type: ignore[arg-type]
+
+
+class _NotHTTP(Exception):
+    pass
+
+
+def _ensure_api_response(url: str, session: PipSession) -> None:
+    """
+    Send a HEAD request to the URL, and ensure the response contains a simple
+    API Response.
+
+    Raises `_NotHTTP` if the URL is not available for a HEAD request, or
+    `_NotAPIContent` if the content type is not a valid content type.
+    """
+    scheme, netloc, path, query, fragment = urllib.parse.urlsplit(url)
+    if scheme not in {"http", "https"}:
+        raise _NotHTTP()
+
+    resp = session.head(url, allow_redirects=True)
+    raise_for_status(resp)
+
+    _ensure_api_header(resp)
+
+
+def _get_simple_response(
+    url: str,
+    session: PipSession,
+    force_revalidate: bool = False,
+) -> Response:
+    """Access an Simple API response with GET, and return the response.
+
+    This consists of three parts:
+
+    1. If the URL looks suspiciously like an archive, send a HEAD first to
+       check the Content-Type is HTML or Simple API, to avoid downloading a
+       large file. Raise `_NotHTTP` if the content type cannot be determined, or
+       `_NotAPIContent` if it is not HTML or a Simple API.
+    2. Actually perform the request. Raise HTTP exceptions on network failures.
+    3. Check the Content-Type header to make sure we got a Simple API response,
+       and raise `_NotAPIContent` otherwise.
+    """
+    if is_archive_file(Link(url).filename):
+        _ensure_api_response(url, session=session)
+
+    logger.debug("Getting page %s", redact_auth_from_url(url))
+
+    headers = {
+        "Accept": ", ".join(
+            [
+                "application/vnd.pypi.simple.v1+json",
+                "application/vnd.pypi.simple.v1+html; q=0.1",
+                "text/html; q=0.01",
+            ]
+        ),
+    }
+
+    if force_revalidate:
+        # Using max-age=0 rather than no-cache still supports conditional
+        # requests, minimizing traffic when the page hasn't changed.
+        # See pypa/pip#5670.
+        logger.debug("Refreshing package index response.")
+        headers["Cache-Control"] = "max-age=0"
+
+    resp = session.get(url, headers=headers)
+    raise_for_status(resp)
+
+    # The check for archives above only works if the url ends with
+    # something that looks like an archive. However that is not a
+    # requirement of an url. Unless we issue a HEAD request on every
+    # url we cannot know ahead of time for sure if something is a
+    # Simple API response or not. However we can check after we've
+    # downloaded it.
+    _ensure_api_header(resp)
+
+    logger.debug(
+        "Fetched page %s as %s",
+        redact_auth_from_url(url),
+        resp.headers.get("Content-Type", "Unknown"),
+    )
+
+    return resp
+
+
+def _get_encoding_from_headers(headers: ResponseHeaders) -> str | None:
+    """Determine if we have any encoding information in our headers."""
+    if headers and "Content-Type" in headers:
+        m = email.message.Message()
+        m["content-type"] = headers["Content-Type"]
+        charset = m.get_param("charset")
+        if charset:
+            return str(charset)
+    return None
+
+
+class CacheablePageContent:
+    def __init__(self, page: IndexContent) -> None:
+        assert page.cache_link_parsing
+        self.page = page
+
+    def __eq__(self, other: object) -> bool:
+        return isinstance(other, type(self)) and self.page.url == other.page.url
+
+    def __hash__(self) -> int:
+        return hash(self.page.url)
+
+
+class ParseLinks(Protocol):
+    def __call__(self, page: IndexContent) -> Iterable[Link]: ...
+
+
+def with_cached_index_content(fn: ParseLinks) -> ParseLinks:
+    """
+    Given a function that parses an Iterable[Link] from an IndexContent, cache the
+    function's result (keyed by CacheablePageContent), unless the IndexContent
+    `page` has `page.cache_link_parsing == False`.
+    """
+
+    @functools.cache
+    def wrapper(cacheable_page: CacheablePageContent) -> list[Link]:
+        return list(fn(cacheable_page.page))
+
+    @functools.wraps(fn)
+    def wrapper_wrapper(page: IndexContent) -> list[Link]:
+        if page.cache_link_parsing:
+            return wrapper(CacheablePageContent(page))
+        return list(fn(page))
+
+    return wrapper_wrapper
+
+
+@with_cached_index_content
+def parse_links(page: IndexContent) -> Iterable[Link]:
+    """
+    Parse a Simple API's Index Content, and yield its anchor elements as Link objects.
+    """
+
+    content_type_l = page.content_type.lower()
+    if content_type_l.startswith("application/vnd.pypi.simple.v1+json"):
+        data = json.loads(page.content)
+        for file in data.get("files", []):
+            link = Link.from_json(file, page.url)
+            if link is None:
+                continue
+            yield link
+        return
+
+    parser = HTMLLinkParser(page.url)
+    encoding = page.encoding or "utf-8"
+    parser.feed(page.content.decode(encoding))
+
+    url = page.url
+    base_url = parser.base_url or url
+    for anchor in parser.anchors:
+        link = Link.from_element(anchor, page_url=url, base_url=base_url)
+        if link is None:
+            continue
+        yield link
+
+
+@dataclass(frozen=True)
+class IndexContent:
+    """Represents one response (or page), along with its URL.
+
+    :param encoding: the encoding to decode the given content.
+    :param url: the URL from which the HTML was downloaded.
+    :param cache_link_parsing: whether links parsed from this page's url
+                               should be cached. PyPI index urls should
+                               have this set to False, for example.
+    """
+
+    content: bytes
+    content_type: str
+    encoding: str | None
+    url: str
+    cache_link_parsing: bool = True
+
+    def __str__(self) -> str:
+        return redact_auth_from_url(self.url)
+
+
+class HTMLLinkParser(HTMLParser):
+    """
+    HTMLParser that keeps the first base HREF and a list of all anchor
+    elements' attributes.
+    """
+
+    def __init__(self, url: str) -> None:
+        super().__init__(convert_charrefs=True)
+
+        self.url: str = url
+        self.base_url: str | None = None
+        self.anchors: list[dict[str, str | None]] = []
+
+    def handle_starttag(self, tag: str, attrs: list[tuple[str, str | None]]) -> None:
+        if tag == "base" and self.base_url is None:
+            href = self.get_href(attrs)
+            if href is not None:
+                self.base_url = href
+        elif tag == "a":
+            self.anchors.append(dict(attrs))
+
+    def get_href(self, attrs: list[tuple[str, str | None]]) -> str | None:
+        for name, value in attrs:
+            if name == "href":
+                return value
+        return None
+
+
+def _handle_get_simple_fail(
+    link: Link,
+    reason: str | Exception,
+    meth: Callable[..., None] | None = None,
+) -> None:
+    if meth is None:
+        meth = logger.debug
+    meth("Could not fetch URL %s: %s - skipping", link, reason)
+
+
+def _make_index_content(
+    response: Response, cache_link_parsing: bool = True
+) -> IndexContent:
+    encoding = _get_encoding_from_headers(response.headers)
+    return IndexContent(
+        response.content,
+        response.headers["Content-Type"],
+        encoding=encoding,
+        url=response.url,
+        cache_link_parsing=cache_link_parsing,
+    )
+
+
+def _get_index_content(
+    link: Link,
+    *,
+    session: PipSession,
+    force_revalidate: bool = False,
+) -> IndexContent | None:
+    url = link.url.split("#", 1)[0]
+
+    # Check for VCS schemes that do not support lookup as web pages.
+    vcs_scheme = _match_vcs_scheme(url)
+    if vcs_scheme:
+        logger.warning(
+            "Cannot look at %s URL %s because it does not support lookup as web pages.",
+            vcs_scheme,
+            link,
+        )
+        return None
+
+    # Tack index.html onto file:// URLs that point to directories
+    if url.startswith("file:") and os.path.isdir(url_to_path(url)):
+        # add trailing slash if not present so urljoin doesn't trim
+        # final segment
+        if not url.endswith("/"):
+            url += "/"
+        # TODO: In the future, it would be nice if pip supported PEP 691
+        #       style responses in the file:// URLs, however there's no
+        #       standard file extension for application/vnd.pypi.simple.v1+json
+        #       so we'll need to come up with something on our own.
+        url = urllib.parse.urljoin(url, "index.html")
+        logger.debug(" file: URL is directory, getting %s", url)
+
+    try:
+        resp = _get_simple_response(
+            url, session=session, force_revalidate=force_revalidate
+        )
+    except _NotHTTP:
+        logger.warning(
+            "Skipping page %s because it looks like an archive, and cannot "
+            "be checked by a HTTP HEAD request.",
+            link,
+        )
+    except _NotAPIContent as exc:
+        logger.warning(
+            "Skipping page %s because the %s request got Content-Type: %s. "
+            "The only supported Content-Types are application/vnd.pypi.simple.v1+json, "
+            "application/vnd.pypi.simple.v1+html, and text/html",
+            link,
+            exc.request_desc,
+            exc.content_type,
+        )
+    except (RetryError, NetworkConnectionError) as exc:
+        _handle_get_simple_fail(link, exc)
+    except (SSLVerificationError, SSLMissingError) as exc:
+        reason = f"There was a problem confirming the ssl certificate: {exc.context}"
+        _handle_get_simple_fail(link, reason, meth=logger.info)
+    except ConnectionFailedError as exc:
+        _handle_get_simple_fail(link, f"connection error: {exc.context}")
+    except ProxyConnectionError as exc:
+        _handle_get_simple_fail(link, f"proxy connection error: {exc.context}")
+    except ConnectionTimeoutError as exc:
+        _handle_get_simple_fail(link, str(exc.context))
+    else:
+        return _make_index_content(resp, cache_link_parsing=link.cache_link_parsing)
+    return None
+
+
+class CollectedSources(NamedTuple):
+    find_links: Sequence[LinkSource | None]
+    index_urls: Sequence[LinkSource | None]
+
+
+class LinkCollector:
+    """
+    Responsible for collecting Link objects from all configured locations,
+    making network requests as needed.
+
+    The class's main method is its collect_sources() method.
+    """
+
+    def __init__(
+        self,
+        session: PipSession,
+        search_scope: SearchScope,
+    ) -> None:
+        self.search_scope = search_scope
+        self.session = session
+
+    @classmethod
+    def create(
+        cls,
+        session: PipSession,
+        options: Values,
+        suppress_no_index: bool = False,
+    ) -> LinkCollector:
+        """
+        :param session: The Session to use to make requests.
+        :param suppress_no_index: Whether to ignore the --no-index option
+            when constructing the SearchScope object.
+        """
+        index_urls = [options.index_url] + options.extra_index_urls
+        if options.no_index and not suppress_no_index:
+            logger.debug(
+                "Ignoring indexes: %s",
+                ",".join(redact_auth_from_url(url) for url in index_urls),
+            )
+            index_urls = []
+
+        # Make sure find_links is a list before passing to create().
+        find_links = options.find_links or []
+
+        search_scope = SearchScope.create(
+            find_links=find_links,
+            index_urls=index_urls,
+            no_index=options.no_index,
+        )
+        link_collector = LinkCollector(
+            session=session,
+            search_scope=search_scope,
+        )
+        return link_collector
+
+    @property
+    def find_links(self) -> list[str]:
+        return self.search_scope.find_links
+
+    def fetch_response(
+        self, location: Link, package_name: str | None = None
+    ) -> IndexContent | None:
+        """
+        Fetch an HTML page containing package links.
+        """
+        # By default we may return cached /simple/ responses. Users can force
+        # revalidation to ensure newly uploaded distributions become visible
+        # immediately after publication. See pypa/pip#5670.
+        force_revalidate = self.session.refresh_package
+        should_force_revalidate = ":all:" in force_revalidate or (
+            package_name is not None
+            and canonicalize_name(package_name) in force_revalidate
+        )
+        return _get_index_content(
+            location,
+            session=self.session,
+            force_revalidate=should_force_revalidate,
+        )
+
+    def collect_sources(
+        self,
+        project_name: str,
+        candidates_from_page: CandidatesFromPage,
+    ) -> CollectedSources:
+        # The OrderedDict calls deduplicate sources by URL.
+        index_url_sources = collections.OrderedDict(
+            build_source(
+                loc,
+                candidates_from_page=candidates_from_page,
+                page_validator=self.session.is_secure_origin,
+                expand_dir=False,
+                cache_link_parsing=False,
+                project_name=project_name,
+            )
+            for loc in self.search_scope.get_index_urls_locations(project_name)
+        ).values()
+        find_links_sources = collections.OrderedDict(
+            build_source(
+                loc,
+                candidates_from_page=candidates_from_page,
+                page_validator=self.session.is_secure_origin,
+                expand_dir=True,
+                cache_link_parsing=True,
+                project_name=project_name,
+            )
+            for loc in self.find_links
+        ).values()
+
+        if logger.isEnabledFor(logging.DEBUG):
+            lines = [
+                f"* {s.link}"
+                for s in itertools.chain(find_links_sources, index_url_sources)
+                if s is not None and s.link is not None
+            ]
+            lines = [
+                f"{len(lines)} location(s) to search "
+                f"for versions of {project_name}:"
+            ] + lines
+            logger.debug("\n".join(lines))
+
+        return CollectedSources(
+            find_links=list(find_links_sources),
+            index_urls=list(index_url_sources),
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/package_finder.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/package_finder.py
new file mode 100644
index 0000000000000000000000000000000000000000..cf4a2eeb65d15c85348886455332503572a1ac3c
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/package_finder.py
@@ -0,0 +1,1152 @@
+"""Routines related to PyPI, indexes"""
+
+from __future__ import annotations
+
+import datetime
+import enum
+import functools
+import itertools
+import logging
+import re
+from collections.abc import Iterable
+from dataclasses import dataclass
+from typing import (
+    TYPE_CHECKING,
+)
+
+from pip._vendor.packaging import specifiers
+from pip._vendor.packaging.tags import Tag
+from pip._vendor.packaging.utils import NormalizedName, canonicalize_name
+from pip._vendor.packaging.version import InvalidVersion, _BaseVersion
+from pip._vendor.packaging.version import parse as parse_version
+
+from pip._internal.exceptions import (
+    BestVersionAlreadyInstalled,
+    DistributionNotFound,
+    InstallationError,
+    InvalidWheelFilename,
+    UnsupportedWheel,
+)
+from pip._internal.index.collector import LinkCollector, parse_links
+from pip._internal.metadata import select_backend
+from pip._internal.models.candidate import InstallationCandidate
+from pip._internal.models.format_control import FormatControl
+from pip._internal.models.link import Link
+from pip._internal.models.release_control import ReleaseControl
+from pip._internal.models.search_scope import SearchScope
+from pip._internal.models.selection_prefs import SelectionPreferences
+from pip._internal.models.target_python import TargetPython
+from pip._internal.models.wheel import Wheel
+from pip._internal.req import InstallRequirement
+from pip._internal.utils._log import getLogger
+from pip._internal.utils.filetypes import WHEEL_EXTENSION
+from pip._internal.utils.hashes import Hashes
+from pip._internal.utils.logging import indent_log
+from pip._internal.utils.misc import build_netloc
+from pip._internal.utils.packaging import check_requires_python
+from pip._internal.utils.unpacking import SUPPORTED_EXTENSIONS
+
+if TYPE_CHECKING:
+    from typing import TypeGuard
+
+__all__ = ["FormatControl", "BestCandidateResult", "PackageFinder"]
+
+
+logger = getLogger(__name__)
+
+BuildTag = tuple[()] | tuple[int, str]
+CandidateSortingKey = tuple[int, int, int, _BaseVersion, int | None, BuildTag]
+
+
+def _check_link_requires_python(
+    link: Link,
+    version_info: tuple[int, int, int],
+    ignore_requires_python: bool = False,
+) -> bool:
+    """
+    Return whether the given Python version is compatible with a link's
+    "Requires-Python" value.
+
+    :param version_info: A 3-tuple of ints representing the Python
+        major-minor-micro version to check.
+    :param ignore_requires_python: Whether to ignore the "Requires-Python"
+        value if the given Python version isn't compatible.
+    """
+    try:
+        is_compatible = check_requires_python(
+            link.requires_python,
+            version_info=version_info,
+        )
+    except specifiers.InvalidSpecifier:
+        logger.debug(
+            "Ignoring invalid Requires-Python (%r) for link: %s",
+            link.requires_python,
+            link,
+        )
+    else:
+        if not is_compatible:
+            version = ".".join(map(str, version_info))
+            if not ignore_requires_python:
+                logger.verbose(
+                    "Link requires a different Python (%s not in: %r): %s",
+                    version,
+                    link.requires_python,
+                    link,
+                )
+                return False
+
+            logger.debug(
+                "Ignoring failed Requires-Python check (%s not in: %r) for link: %s",
+                version,
+                link.requires_python,
+                link,
+            )
+
+    return True
+
+
+class LinkType(enum.Enum):
+    candidate = enum.auto()
+    different_project = enum.auto()
+    yanked = enum.auto()
+    format_unsupported = enum.auto()
+    format_invalid = enum.auto()
+    platform_mismatch = enum.auto()
+    requires_python_mismatch = enum.auto()
+    upload_too_late = enum.auto()
+    upload_time_missing = enum.auto()
+
+
+class LinkEvaluator:
+    """
+    Responsible for evaluating links for a particular project.
+    """
+
+    _py_version_re = re.compile(r"-py([123]\.?[0-9]?)$")
+
+    # Don't include an allow_yanked default value to make sure each call
+    # site considers whether yanked releases are allowed. This also causes
+    # that decision to be made explicit in the calling code, which helps
+    # people when reading the code.
+    def __init__(
+        self,
+        project_name: str,
+        canonical_name: NormalizedName,
+        formats: frozenset[str],
+        target_python: TargetPython,
+        allow_yanked: bool,
+        ignore_requires_python: bool = False,
+        uploaded_prior_to: datetime.datetime | None = None,
+    ) -> None:
+        """
+        :param project_name: The user supplied package name.
+        :param canonical_name: The canonical package name.
+        :param formats: The formats allowed for this package. Should be a set
+            with 'binary' or 'source' or both in it.
+        :param target_python: The target Python interpreter to use when
+            evaluating link compatibility. This is used, for example, to
+            check wheel compatibility, as well as when checking the Python
+            version, e.g. the Python version embedded in a link filename
+            (or egg fragment) and against an HTML link's optional PEP 503
+            "data-requires-python" attribute.
+        :param allow_yanked: Whether files marked as yanked (in the sense
+            of PEP 592) are permitted to be candidates for install.
+        :param ignore_requires_python: Whether to ignore incompatible
+            PEP 503 "data-requires-python" values in HTML links. Defaults
+            to False.
+        :param uploaded_prior_to: If set, only allow links uploaded prior to
+            the given datetime.
+        """
+
+        self._allow_yanked = allow_yanked
+        self._canonical_name = canonical_name
+        self._ignore_requires_python = ignore_requires_python
+        self._formats = formats
+        self._target_python = target_python
+        self._uploaded_prior_to = uploaded_prior_to
+
+        self.project_name = project_name
+
+    def evaluate_link(self, link: Link) -> tuple[LinkType, str]:
+        """
+        Determine whether a link is a candidate for installation.
+
+        :return: A tuple (result, detail), where *result* is an enum
+            representing whether the evaluation found a candidate, or the reason
+            why one is not found. If a candidate is found, *detail* will be the
+            candidate's version string; if one is not found, it contains the
+            reason the link fails to qualify.
+        """
+        version = None
+        if link.is_yanked and not self._allow_yanked:
+            reason = link.yanked_reason or ""
+            return (LinkType.yanked, f"yanked for reason: {reason}")
+
+        if link.egg_fragment:
+            egg_info = link.egg_fragment
+            ext = link.ext
+        else:
+            egg_info, ext = link.splitext()
+            if not ext:
+                return (LinkType.format_unsupported, "not a file")
+            if ext not in SUPPORTED_EXTENSIONS:
+                return (
+                    LinkType.format_unsupported,
+                    f"unsupported archive format: {ext}",
+                )
+            if "binary" not in self._formats and ext == WHEEL_EXTENSION:
+                reason = f"No binaries permitted for {self.project_name}"
+                return (LinkType.format_unsupported, reason)
+            if "macosx10" in link.path and ext == ".zip":
+                return (LinkType.format_unsupported, "macosx10 one")
+            if ext == WHEEL_EXTENSION:
+                try:
+                    wheel = Wheel(link.filename)
+                except InvalidWheelFilename:
+                    return (
+                        LinkType.format_invalid,
+                        "invalid wheel filename",
+                    )
+                if wheel.name != self._canonical_name:
+                    reason = f"wrong project name (not {self.project_name})"
+                    return (LinkType.different_project, reason)
+
+                supported_tags = self._target_python.get_unsorted_tags()
+                if not wheel.supported(supported_tags):
+                    # Include the wheel's tags in the reason string to
+                    # simplify troubleshooting compatibility issues.
+                    file_tags = ", ".join(wheel.get_formatted_file_tags())
+                    reason = (
+                        f"none of the wheel's tags ({file_tags}) are compatible "
+                        f"(run pip debug --verbose to show compatible tags)"
+                    )
+                    return (LinkType.platform_mismatch, reason)
+
+                version = wheel.version
+
+        # Check upload-time filter after verifying the link is a package file.
+        # Skip this check for local files, as --uploaded-prior-to only applies
+        # to packages from indexes.
+        if self._uploaded_prior_to is not None and not link.is_file:
+            if link.upload_time is None:
+                if link.comes_from:
+                    index_info = f"Index {link.comes_from}"
+                else:
+                    index_info = "Index"
+
+                return (
+                    LinkType.upload_time_missing,
+                    f"{index_info} does not provide upload-time metadata.",
+                )
+            elif link.upload_time >= self._uploaded_prior_to:
+                return (
+                    LinkType.upload_too_late,
+                    f"Upload time {link.upload_time} not "
+                    f"prior to {self._uploaded_prior_to}",
+                )
+
+        # This should be up by the self.ok_binary check, but see issue 2700.
+        if "source" not in self._formats and ext != WHEEL_EXTENSION:
+            reason = f"No sources permitted for {self.project_name}"
+            return (LinkType.format_unsupported, reason)
+
+        if not version:
+            version = _extract_version_from_fragment(
+                egg_info,
+                self._canonical_name,
+            )
+        if not version:
+            reason = f"Missing project version for {self.project_name}"
+            return (LinkType.format_invalid, reason)
+
+        match = self._py_version_re.search(version)
+        if match:
+            version = version[: match.start()]
+            py_version = match.group(1)
+            if py_version != self._target_python.py_version:
+                return (
+                    LinkType.platform_mismatch,
+                    "Python version is incorrect",
+                )
+
+        supports_python = _check_link_requires_python(
+            link,
+            version_info=self._target_python.py_version_info,
+            ignore_requires_python=self._ignore_requires_python,
+        )
+        if not supports_python:
+            requires_python = link.requires_python
+            if requires_python:
+
+                def get_version_sort_key(v: str) -> tuple[int, ...]:
+                    return tuple(int(s) for s in v.split(".") if s.isdigit())
+
+                requires_python = ",".join(
+                    sorted(
+                        (str(s) for s in specifiers.SpecifierSet(requires_python)),
+                        key=get_version_sort_key,
+                    )
+                )
+            reason = f"{version} Requires-Python {requires_python}"
+            return (LinkType.requires_python_mismatch, reason)
+
+        logger.debug("Found link %s, version: %s", link, version)
+
+        return (LinkType.candidate, version)
+
+
+def filter_unallowed_hashes(
+    candidates: list[InstallationCandidate],
+    hashes: Hashes | None,
+    project_name: str,
+) -> list[InstallationCandidate]:
+    """
+    Filter out candidates whose hashes aren't allowed, and return a new
+    list of candidates.
+
+    If at least one candidate has an allowed hash, then all candidates with
+    either an allowed hash or no hash specified are returned.  Otherwise,
+    the given candidates are returned.
+
+    Including the candidates with no hash specified when there is a match
+    allows a warning to be logged if there is a more preferred candidate
+    with no hash specified.  Returning all candidates in the case of no
+    matches lets pip report the hash of the candidate that would otherwise
+    have been installed (e.g. permitting the user to more easily update
+    their requirements file with the desired hash).
+    """
+    if not hashes:
+        logger.debug(
+            "Given no hashes to check %s links for project %r: "
+            "discarding no candidates",
+            len(candidates),
+            project_name,
+        )
+        # Make sure we're not returning back the given value.
+        return list(candidates)
+
+    matches_or_no_digest = []
+    # Collect the non-matches for logging purposes.
+    non_matches = []
+    match_count = 0
+    for candidate in candidates:
+        link = candidate.link
+        if not link.has_hash:
+            pass
+        elif link.is_hash_allowed(hashes=hashes):
+            match_count += 1
+        else:
+            non_matches.append(candidate)
+            continue
+
+        matches_or_no_digest.append(candidate)
+
+    if match_count:
+        filtered = matches_or_no_digest
+    else:
+        # Make sure we're not returning back the given value.
+        filtered = list(candidates)
+
+    if len(filtered) == len(candidates):
+        discard_message = "discarding no candidates"
+    else:
+        discard_message = "discarding {} non-matches:\n  {}".format(
+            len(non_matches),
+            "\n  ".join(str(candidate.link) for candidate in non_matches),
+        )
+
+    logger.debug(
+        "Checked %s links for project %r against %s hashes "
+        "(%s matches, %s no digest): %s",
+        len(candidates),
+        project_name,
+        hashes.digest_count,
+        match_count,
+        len(matches_or_no_digest) - match_count,
+        discard_message,
+    )
+
+    return filtered
+
+
+@dataclass
+class CandidatePreferences:
+    """
+    Encapsulates some of the preferences for filtering and sorting
+    InstallationCandidate objects.
+    """
+
+    prefer_binary: bool = False
+    release_control: ReleaseControl | None = None
+
+
+@dataclass(frozen=True)
+class BestCandidateResult:
+    """A collection of candidates, returned by `PackageFinder.find_best_candidate`.
+
+    This class is only intended to be instantiated by CandidateEvaluator's
+    `compute_best_candidate()` method.
+
+    :param all_candidates: A sequence of all available candidates found.
+    :param applicable_candidates: The applicable candidates.
+    :param best_candidate: The most preferred candidate found, or None
+        if no applicable candidates were found.
+    """
+
+    all_candidates: list[InstallationCandidate]
+    applicable_candidates: list[InstallationCandidate]
+    best_candidate: InstallationCandidate | None
+
+    def __post_init__(self) -> None:
+        assert set(self.applicable_candidates) <= set(self.all_candidates)
+
+        if self.best_candidate is None:
+            assert not self.applicable_candidates
+        else:
+            assert self.best_candidate in self.applicable_candidates
+
+
+class CandidateEvaluator:
+    """
+    Responsible for filtering and sorting candidates for installation based
+    on what tags are valid.
+    """
+
+    @classmethod
+    def create(
+        cls,
+        project_name: str,
+        target_python: TargetPython | None = None,
+        prefer_binary: bool = False,
+        release_control: ReleaseControl | None = None,
+        specifier: specifiers.BaseSpecifier | None = None,
+        hashes: Hashes | None = None,
+    ) -> CandidateEvaluator:
+        """Create a CandidateEvaluator object.
+
+        :param target_python: The target Python interpreter to use when
+            checking compatibility. If None (the default), a TargetPython
+            object will be constructed from the running Python.
+        :param specifier: An optional object implementing `filter`
+            (e.g. `packaging.specifiers.SpecifierSet`) to filter applicable
+            versions.
+        :param hashes: An optional collection of allowed hashes.
+        """
+        if target_python is None:
+            target_python = TargetPython()
+        if specifier is None:
+            specifier = specifiers.SpecifierSet()
+
+        supported_tags = target_python.get_sorted_tags()
+
+        return cls(
+            project_name=project_name,
+            supported_tags=supported_tags,
+            specifier=specifier,
+            prefer_binary=prefer_binary,
+            release_control=release_control,
+            hashes=hashes,
+        )
+
+    def __init__(
+        self,
+        project_name: str,
+        supported_tags: list[Tag],
+        specifier: specifiers.BaseSpecifier,
+        prefer_binary: bool = False,
+        release_control: ReleaseControl | None = None,
+        hashes: Hashes | None = None,
+    ) -> None:
+        """
+        :param supported_tags: The PEP 425 tags supported by the target
+            Python in order of preference (most preferred first).
+        """
+        self._release_control = release_control
+        self._hashes = hashes
+        self._prefer_binary = prefer_binary
+        self._project_name = project_name
+        self._specifier = specifier
+        self._supported_tags = supported_tags
+        # Since the index of the tag in the _supported_tags list is used
+        # as a priority, precompute a map from tag to index/priority to be
+        # used in wheel.find_most_preferred_tag.
+        self._wheel_tag_preferences = {
+            tag: idx for idx, tag in enumerate(supported_tags)
+        }
+
+    def get_applicable_candidates(
+        self,
+        candidates: list[InstallationCandidate],
+    ) -> list[InstallationCandidate]:
+        """
+        Return the applicable candidates from a list of candidates.
+        """
+        # Using None infers from the specifier instead.
+        if self._release_control is not None:
+            allow_prereleases = self._release_control.allows_prereleases(
+                canonicalize_name(self._project_name)
+            )
+        else:
+            allow_prereleases = None
+        specifier = self._specifier
+        # When using the pkg_resources backend we turn the version object into
+        # a str here because otherwise when we're debundled but setuptools isn't,
+        # Python will see packaging.version.Version and
+        # pkg_resources._vendor.packaging.version.Version as different
+        # types. This way we'll use a str as a common data interchange
+        # format. If we stop using the pkg_resources provided specifier
+        # and start using our own, we can drop the cast to str().
+        applicable_candidates = specifier.filter(
+            candidates,
+            prereleases=allow_prereleases,
+            key=lambda c: (
+                str(c.version)
+                if select_backend().NAME == "pkg_resources"
+                else c.version
+            ),
+        )
+        filtered_applicable_candidates = filter_unallowed_hashes(
+            candidates=list(applicable_candidates),
+            hashes=self._hashes,
+            project_name=self._project_name,
+        )
+
+        return sorted(filtered_applicable_candidates, key=self._sort_key)
+
+    def _sort_key(self, candidate: InstallationCandidate) -> CandidateSortingKey:
+        """
+        Function to pass as the `key` argument to a call to sorted() to sort
+        InstallationCandidates by preference.
+
+        Returns a tuple such that tuples sorting as greater using Python's
+        default comparison operator are more preferred.
+
+        The preference is as follows:
+
+        First and foremost, candidates with allowed (matching) hashes are
+        always preferred over candidates without matching hashes. This is
+        because e.g. if the only candidate with an allowed hash is yanked,
+        we still want to use that candidate.
+
+        Second, excepting hash considerations, candidates that have been
+        yanked (in the sense of PEP 592) are always less preferred than
+        candidates that haven't been yanked. Then:
+
+        If not finding wheels, they are sorted by version only.
+        If finding wheels, then the sort order is by version, then:
+          1. existing installs
+          2. wheels ordered via Wheel.support_index_min(self._supported_tags)
+          3. source archives
+        If prefer_binary was set, then all wheels are sorted above sources.
+
+        Note: it was considered to embed this logic into the Link
+              comparison operators, but then different sdist links
+              with the same version, would have to be considered equal
+        """
+        valid_tags = self._supported_tags
+        support_num = len(valid_tags)
+        build_tag: BuildTag = ()
+        binary_preference = 0
+        link = candidate.link
+        if link.is_wheel:
+            # can raise InvalidWheelFilename
+            wheel = Wheel(link.filename)
+            try:
+                pri = -(
+                    wheel.find_most_preferred_tag(
+                        valid_tags, self._wheel_tag_preferences
+                    )
+                )
+            except ValueError:
+                raise UnsupportedWheel(
+                    f"{wheel.filename} is not a supported wheel for this platform. It "
+                    "can't be sorted."
+                )
+            if self._prefer_binary:
+                binary_preference = 1
+            build_tag = wheel.build_tag
+        else:  # sdist
+            pri = -(support_num)
+        has_allowed_hash = int(link.is_hash_allowed(self._hashes))
+        yank_value = -1 * int(link.is_yanked)  # -1 for yanked.
+        return (
+            has_allowed_hash,
+            yank_value,
+            binary_preference,
+            candidate.version,
+            pri,
+            build_tag,
+        )
+
+    def sort_best_candidate(
+        self,
+        candidates: list[InstallationCandidate],
+    ) -> InstallationCandidate | None:
+        """
+        Return the best candidate per the instance's sort order, or None if
+        no candidate is acceptable.
+        """
+        if not candidates:
+            return None
+        best_candidate = max(candidates, key=self._sort_key)
+        return best_candidate
+
+    def compute_best_candidate(
+        self,
+        candidates: list[InstallationCandidate],
+    ) -> BestCandidateResult:
+        """
+        Compute and return a `BestCandidateResult` instance.
+        """
+        applicable_candidates = self.get_applicable_candidates(candidates)
+
+        best_candidate = self.sort_best_candidate(applicable_candidates)
+
+        return BestCandidateResult(
+            candidates,
+            applicable_candidates=applicable_candidates,
+            best_candidate=best_candidate,
+        )
+
+
+class PackageFinder:
+    """This finds packages.
+
+    This is meant to match easy_install's technique for looking for
+    packages, by reading pages and looking for appropriate links.
+    """
+
+    def __init__(
+        self,
+        link_collector: LinkCollector,
+        target_python: TargetPython,
+        allow_yanked: bool,
+        format_control: FormatControl | None = None,
+        candidate_prefs: CandidatePreferences | None = None,
+        ignore_requires_python: bool = False,
+        uploaded_prior_to: datetime.datetime | None = None,
+    ) -> None:
+        """
+        This constructor is primarily meant to be used by the create() class
+        method and from tests.
+
+        :param format_control: A FormatControl object, used to control
+            the selection of source packages / binary packages when consulting
+            the index and links.
+        :param candidate_prefs: Options to use when creating a
+            CandidateEvaluator object.
+        """
+        if candidate_prefs is None:
+            candidate_prefs = CandidatePreferences()
+
+        format_control = format_control or FormatControl(set(), set())
+
+        self._allow_yanked = allow_yanked
+        self._candidate_prefs = candidate_prefs
+        self._ignore_requires_python = ignore_requires_python
+        self._link_collector = link_collector
+        self._target_python = target_python
+        self._uploaded_prior_to = uploaded_prior_to
+
+        self.format_control = format_control
+
+        # Collects the detail strings for links skipped due to Requires-Python
+        # incompatibility.  Used by requires_python_skipped_reasons() to build
+        # the error message when resolution fails.
+        self._requires_python_skipped: set[str] = set()
+
+        # Cache of the result of finding candidates
+        self._all_candidates: dict[str, list[InstallationCandidate]] = {}
+        self._best_candidates: dict[
+            tuple[str, specifiers.BaseSpecifier | None, Hashes | None],
+            BestCandidateResult,
+        ] = {}
+
+        # projects for which a link is locked from a pylock
+        self._locked_links: dict[NormalizedName, Link] = {}
+
+    # Don't include an allow_yanked default value to make sure each call
+    # site considers whether yanked releases are allowed. This also causes
+    # that decision to be made explicit in the calling code, which helps
+    # people when reading the code.
+    @classmethod
+    def create(
+        cls,
+        link_collector: LinkCollector,
+        selection_prefs: SelectionPreferences,
+        target_python: TargetPython | None = None,
+        uploaded_prior_to: datetime.datetime | None = None,
+    ) -> PackageFinder:
+        """Create a PackageFinder.
+
+        :param selection_prefs: The candidate selection preferences, as a
+            SelectionPreferences object.
+        :param target_python: The target Python interpreter to use when
+            checking compatibility. If None (the default), a TargetPython
+            object will be constructed from the running Python.
+        :param uploaded_prior_to: If set, only find links uploaded prior
+            to the given datetime.
+        """
+        if target_python is None:
+            target_python = TargetPython()
+
+        candidate_prefs = CandidatePreferences(
+            prefer_binary=selection_prefs.prefer_binary,
+            release_control=selection_prefs.release_control,
+        )
+
+        return cls(
+            candidate_prefs=candidate_prefs,
+            link_collector=link_collector,
+            target_python=target_python,
+            allow_yanked=selection_prefs.allow_yanked,
+            format_control=selection_prefs.format_control,
+            ignore_requires_python=selection_prefs.ignore_requires_python,
+            uploaded_prior_to=uploaded_prior_to,
+        )
+
+    @property
+    def target_python(self) -> TargetPython:
+        return self._target_python
+
+    @property
+    def search_scope(self) -> SearchScope:
+        return self._link_collector.search_scope
+
+    @search_scope.setter
+    def search_scope(self, search_scope: SearchScope) -> None:
+        self._link_collector.search_scope = search_scope
+
+    @property
+    def find_links(self) -> list[str]:
+        return self._link_collector.find_links
+
+    @property
+    def index_urls(self) -> list[str]:
+        return self.search_scope.index_urls
+
+    @property
+    def refresh_package(self) -> set[str]:
+        return self._link_collector.session.refresh_package
+
+    @property
+    def proxy(self) -> str | None:
+        return self._link_collector.session.pip_proxy
+
+    @property
+    def no_proxy_env(self) -> bool:
+        return self._link_collector.session.pip_no_proxy_env
+
+    @property
+    def trusted_hosts(self) -> Iterable[str]:
+        for host_port in self._link_collector.session.pip_trusted_origins:
+            yield build_netloc(*host_port)
+
+    @property
+    def custom_cert(self) -> str | None:
+        # session.verify is either a boolean (use default bundle/no SSL
+        # verification) or a string path to a custom CA bundle to use. We only
+        # care about the latter.
+        verify = self._link_collector.session.verify
+        return verify if isinstance(verify, str) else None
+
+    @property
+    def client_cert(self) -> str | None:
+        cert = self._link_collector.session.cert
+        assert not isinstance(cert, tuple), "pip only supports PEM client certs"
+        return cert
+
+    @property
+    def release_control(self) -> ReleaseControl | None:
+        return self._candidate_prefs.release_control
+
+    def set_release_control(self, release_control: ReleaseControl) -> None:
+        self._candidate_prefs.release_control = release_control
+
+    @property
+    def prefer_binary(self) -> bool:
+        return self._candidate_prefs.prefer_binary
+
+    def set_prefer_binary(self) -> None:
+        self._candidate_prefs.prefer_binary = True
+
+    @property
+    def uploaded_prior_to(self) -> datetime.datetime | None:
+        return self._uploaded_prior_to
+
+    def requires_python_skipped_reasons(self) -> list[str]:
+        return sorted(self._requires_python_skipped)
+
+    def make_link_evaluator(self, project_name: str) -> LinkEvaluator:
+        canonical_name = canonicalize_name(project_name)
+        formats = self.format_control.get_allowed_formats(canonical_name)
+
+        return LinkEvaluator(
+            project_name=project_name,
+            canonical_name=canonical_name,
+            formats=formats,
+            target_python=self._target_python,
+            allow_yanked=self._allow_yanked,
+            ignore_requires_python=self._ignore_requires_python,
+            uploaded_prior_to=self._uploaded_prior_to,
+        )
+
+    def _sort_links(self, links: Iterable[Link]) -> list[Link]:
+        """
+        Returns elements of links in order, non-egg links first, egg links
+        second, while eliminating duplicates
+        """
+        eggs, no_eggs = [], []
+        seen: set[Link] = set()
+        for link in links:
+            if link not in seen:
+                seen.add(link)
+                if link.egg_fragment:
+                    eggs.append(link)
+                else:
+                    no_eggs.append(link)
+        return no_eggs + eggs
+
+    def _log_skipped_link(self, link: Link, result: LinkType, detail: str) -> None:
+        # Put the link at the end so the reason is more visible and because
+        # the link string is usually very long.
+        logger.debug("Skipping link: %s: %s", detail, link)
+        if result == LinkType.requires_python_mismatch:
+            self._requires_python_skipped.add(detail)
+
+    def get_install_candidate(
+        self, link_evaluator: LinkEvaluator, link: Link
+    ) -> InstallationCandidate | None:
+        """
+        If the link is a candidate for install, convert it to an
+        InstallationCandidate and return it. Otherwise, return None.
+        """
+        result, detail = link_evaluator.evaluate_link(link)
+        if result == LinkType.upload_time_missing:
+            # Fail immediately if the index doesn't provide upload-time
+            # when --uploaded-prior-to is specified
+            raise InstallationError(detail)
+        if result != LinkType.candidate:
+            self._log_skipped_link(link, result, detail)
+            return None
+
+        try:
+            return InstallationCandidate(
+                name=link_evaluator.project_name,
+                link=link,
+                version=detail,
+            )
+        except InvalidVersion:
+            return None
+
+    def evaluate_links(
+        self, link_evaluator: LinkEvaluator, links: Iterable[Link]
+    ) -> list[InstallationCandidate]:
+        """
+        Convert links that are candidates to InstallationCandidate objects.
+        """
+        candidates = []
+        for link in self._sort_links(links):
+            candidate = self.get_install_candidate(link_evaluator, link)
+            if candidate is not None:
+                candidates.append(candidate)
+
+        return candidates
+
+    def process_project_url(
+        self, project_url: Link, link_evaluator: LinkEvaluator
+    ) -> list[InstallationCandidate]:
+        logger.debug(
+            "Fetching project page and analyzing links: %s",
+            project_url,
+        )
+        index_response = self._link_collector.fetch_response(
+            project_url, package_name=link_evaluator.project_name
+        )
+        if index_response is None:
+            return []
+
+        page_links = list(parse_links(index_response))
+
+        with indent_log():
+            package_links = self.evaluate_links(
+                link_evaluator,
+                links=page_links,
+            )
+
+        return package_links
+
+    def find_all_candidates(self, project_name: str) -> list[InstallationCandidate]:
+        """Find all available InstallationCandidate for project_name
+
+        This checks index_urls and find_links, unless a locked link is known
+        for that project.
+        All versions found are returned as an InstallationCandidate list.
+
+        See LinkEvaluator.evaluate_link() for details on which files
+        are accepted.
+        """
+        if project_name in self._all_candidates:
+            return self._all_candidates[project_name]
+
+        link_evaluator = self.make_link_evaluator(project_name)
+
+        if locked_link := self._locked_links.get(canonicalize_name(project_name)):
+            # If a locked link is known for that project, do not check
+            # index_urls nor find_links. We don't use get_install_candidate here,
+            # because if a locked link is unsupported (due to format control,
+            # release control or otherwise), we want to error out immediately
+            # instead of ignoring it.
+            result, detail = link_evaluator.evaluate_link(locked_link)
+            if result != LinkType.candidate:
+                raise InstallationError(
+                    f"Could not install locked package {project_name!r} "
+                    f"from {locked_link.comes_from!r}: {detail}"
+                )
+            self._all_candidates[project_name] = [
+                InstallationCandidate(project_name, detail, locked_link, locked=True)
+            ]
+            return self._all_candidates[project_name]
+
+        collected_sources = self._link_collector.collect_sources(
+            project_name=project_name,
+            candidates_from_page=functools.partial(
+                self.process_project_url,
+                link_evaluator=link_evaluator,
+            ),
+        )
+
+        page_candidates_it = itertools.chain.from_iterable(
+            source.page_candidates()
+            for sources in collected_sources
+            for source in sources
+            if source is not None
+        )
+        page_candidates = list(page_candidates_it)
+
+        file_links_it = itertools.chain.from_iterable(
+            source.file_links()
+            for sources in collected_sources
+            for source in sources
+            if source is not None
+        )
+        file_candidates = self.evaluate_links(
+            link_evaluator,
+            sorted(file_links_it, reverse=True),
+        )
+
+        if logger.isEnabledFor(logging.DEBUG) and file_candidates:
+            paths = []
+            for candidate in file_candidates:
+                assert candidate.link.url  # we need to have a URL
+                try:
+                    paths.append(candidate.link.file_path)
+                except Exception:
+                    paths.append(candidate.link.url)  # it's not a local file
+
+            logger.debug("Local files found: %s", ", ".join(paths))
+
+        # This is an intentional priority ordering
+        self._all_candidates[project_name] = file_candidates + page_candidates
+
+        return self._all_candidates[project_name]
+
+    def make_candidate_evaluator(
+        self,
+        project_name: str,
+        specifier: specifiers.BaseSpecifier | None = None,
+        hashes: Hashes | None = None,
+    ) -> CandidateEvaluator:
+        """Create a CandidateEvaluator object to use."""
+        candidate_prefs = self._candidate_prefs
+        return CandidateEvaluator.create(
+            project_name=project_name,
+            target_python=self._target_python,
+            prefer_binary=candidate_prefs.prefer_binary,
+            release_control=candidate_prefs.release_control,
+            specifier=specifier,
+            hashes=hashes,
+        )
+
+    def find_best_candidate(
+        self,
+        project_name: str,
+        specifier: specifiers.BaseSpecifier | None = None,
+        hashes: Hashes | None = None,
+    ) -> BestCandidateResult:
+        """Find matches for the given project and specifier.
+
+        :param specifier: An optional object implementing `filter`
+            (e.g. `packaging.specifiers.SpecifierSet`) to filter applicable
+            versions.
+
+        :return: A `BestCandidateResult` instance.
+        """
+        if (project_name, specifier, hashes) in self._best_candidates:
+            return self._best_candidates[project_name, specifier, hashes]
+
+        candidates = self.find_all_candidates(project_name)
+        candidate_evaluator = self.make_candidate_evaluator(
+            project_name=project_name,
+            specifier=specifier,
+            hashes=hashes,
+        )
+        self._best_candidates[project_name, specifier, hashes] = (
+            candidate_evaluator.compute_best_candidate(candidates)
+        )
+
+        return self._best_candidates[project_name, specifier, hashes]
+
+    def find_requirement(
+        self, req: InstallRequirement, upgrade: bool
+    ) -> InstallationCandidate | None:
+        """Try to find a Link matching req
+
+        Expects req, an InstallRequirement and upgrade, a boolean
+        Returns a InstallationCandidate if found,
+        Raises DistributionNotFound or BestVersionAlreadyInstalled otherwise
+        """
+        name = req.name
+        assert name is not None, "find_requirement() called with no name"
+
+        hashes = req.hashes(trust_internet=False)
+        best_candidate_result = self.find_best_candidate(
+            name,
+            specifier=req.specifier,
+            hashes=hashes,
+        )
+        best_candidate = best_candidate_result.best_candidate
+
+        installed_version: _BaseVersion | None = None
+        if req.satisfied_by is not None:
+            installed_version = req.satisfied_by.version
+
+        def _format_versions(cand_iter: Iterable[InstallationCandidate]) -> str:
+            # This repeated parse_version and str() conversion is needed to
+            # handle different vendoring sources from pip and pkg_resources.
+            # If we stop using the pkg_resources provided specifier and start
+            # using our own, we can drop the cast to str().
+            return (
+                ", ".join(
+                    sorted(
+                        {str(c.version) for c in cand_iter},
+                        key=parse_version,
+                    )
+                )
+                or "none"
+            )
+
+        if installed_version is None and best_candidate is None:
+            # Check if only final releases are allowed for this package
+            version_type = "version"
+            if self.release_control is not None:
+                allows_pre = self.release_control.allows_prereleases(
+                    canonicalize_name(name)
+                )
+                if allows_pre is False:
+                    version_type = "final version"
+
+            logger.critical(
+                "Could not find a %s that satisfies the requirement %s "
+                "(from versions: %s)",
+                version_type,
+                req,
+                _format_versions(best_candidate_result.all_candidates),
+            )
+
+            raise DistributionNotFound(f"No matching distribution found for {req}")
+
+        def _should_install_candidate(
+            candidate: InstallationCandidate | None,
+        ) -> TypeGuard[InstallationCandidate]:
+            if installed_version is None:
+                return True
+            if best_candidate is None:
+                return False
+            return best_candidate.version > installed_version
+
+        if not upgrade and installed_version is not None:
+            if _should_install_candidate(best_candidate):
+                logger.debug(
+                    "Existing installed version (%s) satisfies requirement "
+                    "(most up-to-date version is %s)",
+                    installed_version,
+                    best_candidate.version,
+                )
+            else:
+                logger.debug(
+                    "Existing installed version (%s) is most up-to-date and "
+                    "satisfies requirement",
+                    installed_version,
+                )
+            return None
+
+        if _should_install_candidate(best_candidate):
+            logger.debug(
+                "Using version %s (newest of versions: %s)",
+                best_candidate.version,
+                _format_versions(best_candidate_result.applicable_candidates),
+            )
+            return best_candidate
+
+        # We have an existing version, and its the best version
+        logger.debug(
+            "Installed version (%s) is most up-to-date (past versions: %s)",
+            installed_version,
+            _format_versions(best_candidate_result.applicable_candidates),
+        )
+        raise BestVersionAlreadyInstalled
+
+    def add_locked_link(self, project_name: NormalizedName, locked_link: Link) -> None:
+        assert not self._all_candidates
+        if project_name in self._locked_links:
+            raise InstallationError(
+                f"Multiple locked links provided for {project_name}: "
+                f"{self._locked_links[project_name]} and {locked_link}"
+            )
+
+        self._locked_links[project_name] = locked_link
+
+
+def _find_name_version_sep(fragment: str, canonical_name: str) -> int:
+    """Find the separator's index based on the package's canonical name.
+
+    :param fragment: A + filename "fragment" (stem) or
+        egg fragment.
+    :param canonical_name: The package's canonical name.
+
+    This function is needed since the canonicalized name does not necessarily
+    have the same length as the egg info's name part. An example::
+
+    >>> fragment = 'foo__bar-1.0'
+    >>> canonical_name = 'foo-bar'
+    >>> _find_name_version_sep(fragment, canonical_name)
+    8
+    """
+    # Project name and version must be separated by one single dash. Find all
+    # occurrences of dashes; if the string in front of it matches the canonical
+    # name, this is the one separating the name and version parts.
+    for i, c in enumerate(fragment):
+        if c != "-":
+            continue
+        if canonicalize_name(fragment[:i]) == canonical_name:
+            return i
+    raise ValueError(f"{fragment} does not match {canonical_name}")
+
+
+def _extract_version_from_fragment(fragment: str, canonical_name: str) -> str | None:
+    """Parse the version string from a + filename
+    "fragment" (stem) or egg fragment.
+
+    :param fragment: The string to parse. E.g. foo-2.1
+    :param canonical_name: The canonicalized name of the package this
+        belongs to.
+    """
+    try:
+        version_start = _find_name_version_sep(fragment, canonical_name) + 1
+    except ValueError:
+        return None
+    version = fragment[version_start:]
+    if not version:
+        return None
+    return version
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/sources.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/sources.py
new file mode 100644
index 0000000000000000000000000000000000000000..6e7c007301f9296f0efaa2823c964794e6425d8a
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/index/sources.py
@@ -0,0 +1,286 @@
+from __future__ import annotations
+
+import logging
+import mimetypes
+import os
+from collections import defaultdict
+from collections.abc import Callable, Iterable
+
+from pip._vendor.packaging.utils import (
+    InvalidSdistFilename,
+    InvalidWheelFilename,
+    canonicalize_name,
+    parse_sdist_filename,
+    parse_wheel_filename,
+)
+
+from pip._internal.models.candidate import InstallationCandidate
+from pip._internal.models.link import Link
+from pip._internal.utils.urls import path_to_url, url_to_path
+from pip._internal.vcs import is_url
+
+logger = logging.getLogger(__name__)
+
+FoundCandidates = Iterable[InstallationCandidate]
+FoundLinks = Iterable[Link]
+CandidatesFromPage = Callable[[Link], Iterable[InstallationCandidate]]
+PageValidator = Callable[[Link], bool]
+
+
+class LinkSource:
+    @property
+    def link(self) -> Link | None:
+        """Returns the underlying link, if there's one."""
+        raise NotImplementedError()
+
+    def page_candidates(self) -> FoundCandidates:
+        """Candidates found by parsing an archive listing HTML file."""
+        raise NotImplementedError()
+
+    def file_links(self) -> FoundLinks:
+        """Links found by specifying archives directly."""
+        raise NotImplementedError()
+
+
+def _is_html_file(file_url: str) -> bool:
+    return mimetypes.guess_type(file_url, strict=False)[0] == "text/html"
+
+
+class _FlatDirectoryToUrls:
+    """Scans directory and caches results"""
+
+    def __init__(self, path: str) -> None:
+        self._path = path
+        self._page_candidates: list[str] = []
+        self._project_name_to_urls: dict[str, list[str]] = defaultdict(list)
+        self._scanned_directory = False
+
+    def _scan_directory(self) -> None:
+        """Scans directory once and populates both page_candidates
+        and project_name_to_urls at the same time
+        """
+        for entry in os.scandir(self._path):
+            url = path_to_url(entry.path)
+            if _is_html_file(url):
+                self._page_candidates.append(url)
+                continue
+
+            # File must have a valid wheel or sdist name,
+            # otherwise not worth considering as a package
+            try:
+                project_filename = parse_wheel_filename(entry.name)[0]
+            except InvalidWheelFilename:
+                try:
+                    project_filename = parse_sdist_filename(entry.name)[0]
+                except InvalidSdistFilename:
+                    continue
+
+            self._project_name_to_urls[project_filename].append(url)
+        self._scanned_directory = True
+
+    @property
+    def page_candidates(self) -> list[str]:
+        if not self._scanned_directory:
+            self._scan_directory()
+
+        return self._page_candidates
+
+    @property
+    def project_name_to_urls(self) -> dict[str, list[str]]:
+        if not self._scanned_directory:
+            self._scan_directory()
+
+        return self._project_name_to_urls
+
+
+class _FlatDirectorySource(LinkSource):
+    """Link source specified by ``--find-links=``.
+
+    This looks the content of the directory, and returns:
+
+    * ``page_candidates``: Links listed on each HTML file in the directory.
+    * ``file_candidates``: Archives in the directory.
+    """
+
+    _paths_to_urls: dict[str, _FlatDirectoryToUrls] = {}
+
+    def __init__(
+        self,
+        candidates_from_page: CandidatesFromPage,
+        path: str,
+        project_name: str,
+    ) -> None:
+        self._candidates_from_page = candidates_from_page
+        self._project_name = canonicalize_name(project_name)
+
+        # Get existing instance of _FlatDirectoryToUrls if it exists
+        if path in self._paths_to_urls:
+            self._path_to_urls = self._paths_to_urls[path]
+        else:
+            self._path_to_urls = _FlatDirectoryToUrls(path=path)
+            self._paths_to_urls[path] = self._path_to_urls
+
+    @property
+    def link(self) -> Link | None:
+        return None
+
+    def page_candidates(self) -> FoundCandidates:
+        for url in self._path_to_urls.page_candidates:
+            yield from self._candidates_from_page(Link(url))
+
+    def file_links(self) -> FoundLinks:
+        for url in self._path_to_urls.project_name_to_urls[self._project_name]:
+            yield Link(url)
+
+
+class _LocalFileSource(LinkSource):
+    """``--find-links=`` or ``--[extra-]index-url=``.
+
+    If a URL is supplied, it must be a ``file:`` URL. If a path is supplied to
+    the option, it is converted to a URL first. This returns:
+
+    * ``page_candidates``: Links listed on an HTML file.
+    * ``file_candidates``: The non-HTML file.
+    """
+
+    def __init__(
+        self,
+        candidates_from_page: CandidatesFromPage,
+        link: Link,
+    ) -> None:
+        self._candidates_from_page = candidates_from_page
+        self._link = link
+
+    @property
+    def link(self) -> Link | None:
+        return self._link
+
+    def page_candidates(self) -> FoundCandidates:
+        if not _is_html_file(self._link.url):
+            return
+        yield from self._candidates_from_page(self._link)
+
+    def file_links(self) -> FoundLinks:
+        if _is_html_file(self._link.url):
+            return
+        yield self._link
+
+
+class _RemoteFileSource(LinkSource):
+    """``--find-links=`` or ``--[extra-]index-url=``.
+
+    This returns:
+
+    * ``page_candidates``: Links listed on an HTML file.
+    * ``file_candidates``: The non-HTML file.
+    """
+
+    def __init__(
+        self,
+        candidates_from_page: CandidatesFromPage,
+        page_validator: PageValidator,
+        link: Link,
+    ) -> None:
+        self._candidates_from_page = candidates_from_page
+        self._page_validator = page_validator
+        self._link = link
+
+    @property
+    def link(self) -> Link | None:
+        return self._link
+
+    def page_candidates(self) -> FoundCandidates:
+        if not self._page_validator(self._link):
+            return
+        yield from self._candidates_from_page(self._link)
+
+    def file_links(self) -> FoundLinks:
+        yield self._link
+
+
+class _IndexDirectorySource(LinkSource):
+    """``--[extra-]index-url=``.
+
+    This is treated like a remote URL; ``candidates_from_page`` contains logic
+    for this by appending ``index.html`` to the link.
+    """
+
+    def __init__(
+        self,
+        candidates_from_page: CandidatesFromPage,
+        link: Link,
+    ) -> None:
+        self._candidates_from_page = candidates_from_page
+        self._link = link
+
+    @property
+    def link(self) -> Link | None:
+        return self._link
+
+    def page_candidates(self) -> FoundCandidates:
+        yield from self._candidates_from_page(self._link)
+
+    def file_links(self) -> FoundLinks:
+        return ()
+
+
+def build_source(
+    location: str,
+    *,
+    candidates_from_page: CandidatesFromPage,
+    page_validator: PageValidator,
+    expand_dir: bool,
+    cache_link_parsing: bool,
+    project_name: str,
+) -> tuple[str | None, LinkSource | None]:
+    path: str | None = None
+    url: str | None = None
+    if os.path.exists(location):  # Is a local path.
+        url = path_to_url(location)
+        path = location
+    elif location.startswith("file:"):  # A file: URL.
+        url = location
+        path = url_to_path(location)
+    elif is_url(location):
+        url = location
+
+    if url is None:
+        msg = (
+            "Location '%s' is ignored: "
+            "it is either a non-existing path or lacks a specific scheme."
+        )
+        logger.warning(msg, location)
+        return (None, None)
+
+    if path is None:
+        source: LinkSource = _RemoteFileSource(
+            candidates_from_page=candidates_from_page,
+            page_validator=page_validator,
+            link=Link(url, cache_link_parsing=cache_link_parsing),
+        )
+        return (url, source)
+
+    if os.path.isdir(path):
+        if expand_dir:
+            source = _FlatDirectorySource(
+                candidates_from_page=candidates_from_page,
+                path=path,
+                project_name=project_name,
+            )
+        else:
+            source = _IndexDirectorySource(
+                candidates_from_page=candidates_from_page,
+                link=Link(url, cache_link_parsing=cache_link_parsing),
+            )
+        return (url, source)
+    elif os.path.isfile(path):
+        source = _LocalFileSource(
+            candidates_from_page=candidates_from_page,
+            link=Link(url, cache_link_parsing=cache_link_parsing),
+        )
+        return (url, source)
+    logger.warning(
+        "Location '%s' is ignored: it is neither a file nor a directory.",
+        location,
+    )
+    return (url, None)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..ec15d1dc704ba1fc8bd058c5f0f38b08c9be0b0f
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/__init__.py
@@ -0,0 +1,438 @@
+from __future__ import annotations
+
+import functools
+import logging
+import os
+import pathlib
+import sys
+import sysconfig
+
+from pip._internal.models.scheme import SCHEME_KEYS, Scheme
+from pip._internal.utils.compat import WINDOWS
+from pip._internal.utils.deprecation import deprecated
+from pip._internal.utils.virtualenv import running_under_virtualenv
+
+from . import _sysconfig
+from .base import (
+    USER_CACHE_DIR,
+    get_major_minor_version,
+    get_src_prefix,
+    is_osx_framework,
+    site_packages,
+    user_site,
+)
+
+__all__ = [
+    "USER_CACHE_DIR",
+    "get_bin_prefix",
+    "get_bin_user",
+    "get_major_minor_version",
+    "get_platlib",
+    "get_purelib",
+    "get_scheme",
+    "get_src_prefix",
+    "site_packages",
+    "user_site",
+]
+
+
+logger = logging.getLogger(__name__)
+
+
+_PLATLIBDIR: str = getattr(sys, "platlibdir", "lib")
+
+
+def _should_use_sysconfig() -> bool:
+    """This function determines the value of _USE_SYSCONFIG.
+
+    By default, pip uses sysconfig.
+    But Python distributors can override this decision by setting:
+        sysconfig._PIP_USE_SYSCONFIG = True / False
+    Rationale in https://github.com/pypa/pip/issues/10647
+
+    This is a function for testability, but should be constant during any one
+    run.
+    """
+    return bool(getattr(sysconfig, "_PIP_USE_SYSCONFIG", True))
+
+
+_USE_SYSCONFIG = _should_use_sysconfig()
+
+if not _USE_SYSCONFIG:
+    # Import distutils lazily to avoid deprecation warnings,
+    # but import it soon enough that it is in memory and available during
+    # a pip reinstall.
+    from . import _distutils
+
+# Be noisy about incompatibilities if this platforms "should" be using
+# sysconfig, but is explicitly opting out and using distutils instead.
+if _USE_SYSCONFIG:
+    _MISMATCH_LEVEL = logging.DEBUG
+else:
+    _MISMATCH_LEVEL = logging.WARNING
+
+
+def _looks_like_bpo_44860() -> bool:
+    """The resolution to bpo-44860 will change this incorrect platlib.
+
+    See .
+    """
+    from distutils.command.install import INSTALL_SCHEMES
+
+    try:
+        unix_user_platlib = INSTALL_SCHEMES["unix_user"]["platlib"]
+    except KeyError:
+        return False
+    return unix_user_platlib == "$usersite"
+
+
+def _looks_like_red_hat_patched_platlib_purelib(scheme: dict[str, str]) -> bool:
+    platlib = scheme["platlib"]
+    if "/$platlibdir/" in platlib:
+        platlib = platlib.replace("/$platlibdir/", f"/{_PLATLIBDIR}/")
+    if "/lib64/" not in platlib:
+        return False
+    unpatched = platlib.replace("/lib64/", "/lib/")
+    return unpatched.replace("$platbase/", "$base/") == scheme["purelib"]
+
+
+@functools.cache
+def _looks_like_red_hat_lib() -> bool:
+    """Red Hat patches platlib in unix_prefix and unix_home, but not purelib.
+
+    This is the only way I can see to tell a Red Hat-patched Python.
+    """
+    from distutils.command.install import INSTALL_SCHEMES
+
+    return all(
+        k in INSTALL_SCHEMES
+        and _looks_like_red_hat_patched_platlib_purelib(INSTALL_SCHEMES[k])
+        for k in ("unix_prefix", "unix_home")
+    )
+
+
+@functools.cache
+def _looks_like_debian_scheme() -> bool:
+    """Debian adds two additional schemes."""
+    from distutils.command.install import INSTALL_SCHEMES
+
+    return "deb_system" in INSTALL_SCHEMES and "unix_local" in INSTALL_SCHEMES
+
+
+@functools.cache
+def _looks_like_red_hat_scheme() -> bool:
+    """Red Hat patches ``sys.prefix`` and ``sys.exec_prefix``.
+
+    Red Hat's ``00251-change-user-install-location.patch`` changes the install
+    command's ``prefix`` and ``exec_prefix`` to append ``"/local"``. This is
+    (fortunately?) done quite unconditionally, so we create a default command
+    object without any configuration to detect this.
+    """
+    from distutils.command.install import install
+    from distutils.dist import Distribution
+
+    cmd = install(Distribution())
+    cmd.finalize_options()
+    return (
+        cmd.exec_prefix == f"{os.path.normpath(sys.exec_prefix)}/local"
+        and cmd.prefix == f"{os.path.normpath(sys.prefix)}/local"
+    )
+
+
+@functools.cache
+def _looks_like_slackware_scheme() -> bool:
+    """Slackware patches sysconfig but fails to patch distutils and site.
+
+    Slackware changes sysconfig's user scheme to use ``"lib64"`` for the lib
+    path, but does not do the same to the site module.
+    """
+    if user_site is None:  # User-site not available.
+        return False
+    try:
+        paths = sysconfig.get_paths(scheme="posix_user", expand=False)
+    except KeyError:  # User-site not available.
+        return False
+    return "/lib64/" in paths["purelib"] and "/lib64/" not in user_site
+
+
+@functools.cache
+def _looks_like_msys2_mingw_scheme() -> bool:
+    """MSYS2 patches distutils and sysconfig to use a UNIX-like scheme.
+
+    However, MSYS2 incorrectly patches sysconfig ``nt`` scheme. The fix is
+    likely going to be included in their 3.10 release, so we ignore the warning.
+    See msys2/MINGW-packages#9319.
+
+    MSYS2 MINGW's patch uses lowercase ``"lib"`` instead of the usual uppercase,
+    and is missing the final ``"site-packages"``.
+    """
+    paths = sysconfig.get_paths("nt", expand=False)
+    return all(
+        "Lib" not in p and "lib" in p and not p.endswith("site-packages")
+        for p in (paths[key] for key in ("platlib", "purelib"))
+    )
+
+
+@functools.cache
+def _warn_mismatched(old: pathlib.Path, new: pathlib.Path, *, key: str) -> None:
+    issue_url = "https://github.com/pypa/pip/issues/10151"
+    message = (
+        "Value for %s does not match. Please report this to <%s>"
+        "\ndistutils: %s"
+        "\nsysconfig: %s"
+    )
+    logger.log(_MISMATCH_LEVEL, message, key, issue_url, old, new)
+
+
+def _warn_if_mismatch(old: pathlib.Path, new: pathlib.Path, *, key: str) -> bool:
+    if old == new:
+        return False
+    _warn_mismatched(old, new, key=key)
+    return True
+
+
+@functools.cache
+def _log_context(
+    *,
+    user: bool = False,
+    home: str | None = None,
+    root: str | None = None,
+    prefix: str | None = None,
+) -> None:
+    parts = [
+        "Additional context:",
+        "user = %r",
+        "home = %r",
+        "root = %r",
+        "prefix = %r",
+    ]
+
+    logger.log(_MISMATCH_LEVEL, "\n".join(parts), user, home, root, prefix)
+
+
+def get_scheme(
+    dist_name: str,
+    user: bool = False,
+    home: str | None = None,
+    root: str | None = None,
+    isolated: bool = False,
+    prefix: str | None = None,
+) -> Scheme:
+    new = _sysconfig.get_scheme(
+        dist_name,
+        user=user,
+        home=home,
+        root=root,
+        isolated=isolated,
+        prefix=prefix,
+    )
+    if _USE_SYSCONFIG:
+        return new
+
+    old = _distutils.get_scheme(
+        dist_name,
+        user=user,
+        home=home,
+        root=root,
+        isolated=isolated,
+        prefix=prefix,
+    )
+
+    warning_contexts = []
+    for k in SCHEME_KEYS:
+        old_v = pathlib.Path(getattr(old, k))
+        new_v = pathlib.Path(getattr(new, k))
+
+        if old_v == new_v:
+            continue
+
+        # distutils incorrectly put PyPy packages under ``site-packages/python``
+        # in the ``posix_home`` scheme, but PyPy devs said they expect the
+        # directory name to be ``pypy`` instead. So we treat this as a bug fix
+        # and not warn about it. See bpo-43307 and python/cpython#24628.
+        skip_pypy_special_case = (
+            sys.implementation.name == "pypy"
+            and home is not None
+            and k in ("platlib", "purelib")
+            and old_v.parent == new_v.parent
+            and old_v.name.startswith("python")
+            and new_v.name.startswith("pypy")
+        )
+        if skip_pypy_special_case:
+            continue
+
+        # sysconfig's ``osx_framework_user`` does not include ``pythonX.Y`` in
+        # the ``include`` value, but distutils's ``headers`` does. We'll let
+        # CPython decide whether this is a bug or feature. See bpo-43948.
+        skip_osx_framework_user_special_case = (
+            user
+            and is_osx_framework()
+            and k == "headers"
+            and old_v.parent.parent == new_v.parent
+            and old_v.parent.name.startswith("python")
+        )
+        if skip_osx_framework_user_special_case:
+            continue
+
+        # On Red Hat and derived Linux distributions, distutils is patched to
+        # use "lib64" instead of "lib" for platlib.
+        if k == "platlib" and _looks_like_red_hat_lib():
+            continue
+
+        # sysconfig's posix_user scheme sets platlib against
+        # sys.platlibdir, but distutils's unix_user incorrectly continues
+        # using the same $usersite for both platlib and purelib. This creates a
+        # mismatch when sys.platlibdir is not "lib".
+        skip_bpo_44860 = (
+            user
+            and k == "platlib"
+            and not WINDOWS
+            and _PLATLIBDIR != "lib"
+            and _looks_like_bpo_44860()
+        )
+        if skip_bpo_44860:
+            continue
+
+        # Slackware incorrectly patches posix_user to use lib64 instead of lib,
+        # but not usersite to match the location.
+        skip_slackware_user_scheme = (
+            user
+            and k in ("platlib", "purelib")
+            and not WINDOWS
+            and _looks_like_slackware_scheme()
+        )
+        if skip_slackware_user_scheme:
+            continue
+
+        # Both Debian and Red Hat patch Python to place the system site under
+        # /usr/local instead of /usr. Debian also places lib in dist-packages
+        # instead of site-packages, but the /usr/local check should cover it.
+        skip_linux_system_special_case = (
+            not (user or home or prefix or running_under_virtualenv())
+            and old_v.parts[1:3] == ("usr", "local")
+            and len(new_v.parts) > 1
+            and new_v.parts[1] == "usr"
+            and (len(new_v.parts) < 3 or new_v.parts[2] != "local")
+            and (_looks_like_red_hat_scheme() or _looks_like_debian_scheme())
+        )
+        if skip_linux_system_special_case:
+            continue
+
+        # MSYS2 MINGW's sysconfig patch does not include the "site-packages"
+        # part of the path. This is incorrect and will be fixed in MSYS.
+        skip_msys2_mingw_bug = (
+            WINDOWS and k in ("platlib", "purelib") and _looks_like_msys2_mingw_scheme()
+        )
+        if skip_msys2_mingw_bug:
+            continue
+
+        # CPython's POSIX install script invokes pip (via ensurepip) against the
+        # interpreter located in the source tree, not the install site. This
+        # triggers special logic in sysconfig that's not present in distutils.
+        # https://github.com/python/cpython/blob/8c21941ddaf/Lib/sysconfig.py#L178-L194
+        skip_cpython_build = (
+            sysconfig.is_python_build(check_home=True)
+            and not WINDOWS
+            and k in ("headers", "include", "platinclude")
+        )
+        if skip_cpython_build:
+            continue
+
+        warning_contexts.append((old_v, new_v, f"scheme.{k}"))
+
+    if not warning_contexts:
+        return old
+
+    # Check if this path mismatch is caused by distutils config files. Those
+    # files will no longer work once we switch to sysconfig, so this raises a
+    # deprecation message for them.
+    default_old = _distutils.distutils_scheme(
+        dist_name,
+        user,
+        home,
+        root,
+        isolated,
+        prefix,
+        ignore_config_files=True,
+    )
+    if any(default_old[k] != getattr(old, k) for k in SCHEME_KEYS):
+        deprecated(
+            reason=(
+                "Configuring installation scheme with distutils config files "
+                "is deprecated and will no longer work in the near future. If you "
+                "are using a Homebrew or Linuxbrew Python, please see discussion "
+                "at https://github.com/Homebrew/homebrew-core/issues/76621"
+            ),
+            replacement=None,
+            gone_in=None,
+        )
+        return old
+
+    # Post warnings about this mismatch so user can report them back.
+    for old_v, new_v, key in warning_contexts:
+        _warn_mismatched(old_v, new_v, key=key)
+    _log_context(user=user, home=home, root=root, prefix=prefix)
+
+    return old
+
+
+def get_bin_prefix() -> str:
+    new = _sysconfig.get_bin_prefix()
+    if _USE_SYSCONFIG:
+        return new
+
+    old = _distutils.get_bin_prefix()
+    if _warn_if_mismatch(pathlib.Path(old), pathlib.Path(new), key="bin_prefix"):
+        _log_context()
+    return old
+
+
+def get_bin_user() -> str:
+    return _sysconfig.get_scheme("", user=True).scripts
+
+
+def _looks_like_deb_system_dist_packages(value: str) -> bool:
+    """Check if the value is Debian's APT-controlled dist-packages.
+
+    Debian's ``distutils.sysconfig.get_python_lib()`` implementation returns the
+    default package path controlled by APT, but does not patch ``sysconfig`` to
+    do the same. This is similar to the bug worked around in ``get_scheme()``,
+    but here the default is ``deb_system`` instead of ``unix_local``. Ultimately
+    we can't do anything about this Debian bug, and this detection allows us to
+    skip the warning when needed.
+    """
+    if not _looks_like_debian_scheme():
+        return False
+    if value == "/usr/lib/python3/dist-packages":
+        return True
+    return False
+
+
+def get_purelib() -> str:
+    """Return the default pure-Python lib location."""
+    new = _sysconfig.get_purelib()
+    if _USE_SYSCONFIG:
+        return new
+
+    old = _distutils.get_purelib()
+    if _looks_like_deb_system_dist_packages(old):
+        return old
+    if _warn_if_mismatch(pathlib.Path(old), pathlib.Path(new), key="purelib"):
+        _log_context()
+    return old
+
+
+def get_platlib() -> str:
+    """Return the default platform-shared lib location."""
+    new = _sysconfig.get_platlib()
+    if _USE_SYSCONFIG:
+        return new
+
+    from . import _distutils
+
+    old = _distutils.get_platlib()
+    if _looks_like_deb_system_dist_packages(old):
+        return old
+    if _warn_if_mismatch(pathlib.Path(old), pathlib.Path(new), key="platlib"):
+        _log_context()
+    return old
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/_distutils.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/_distutils.py
new file mode 100644
index 0000000000000000000000000000000000000000..28c066bcee64e9965d52a72092a144a5225456f6
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/_distutils.py
@@ -0,0 +1,173 @@
+"""Locations where we look for configs, install stuff, etc"""
+
+# The following comment should be removed at some point in the future.
+# mypy: strict-optional=False
+
+# If pip's going to use distutils, it should not be using the copy that setuptools
+# might have injected into the environment. This is done by removing the injected
+# shim, if it's injected.
+#
+# See https://github.com/pypa/pip/issues/8761 for the original discussion and
+# rationale for why this is done within pip.
+from __future__ import annotations
+
+try:
+    __import__("_distutils_hack").remove_shim()
+except (ImportError, AttributeError):
+    pass
+
+import logging
+import os
+import sys
+from distutils.cmd import Command as DistutilsCommand
+from distutils.command.install import SCHEME_KEYS
+from distutils.command.install import install as distutils_install_command
+from distutils.sysconfig import get_python_lib
+
+from pip._internal.models.scheme import Scheme
+from pip._internal.utils.compat import WINDOWS
+from pip._internal.utils.virtualenv import running_under_virtualenv
+
+from .base import get_major_minor_version
+
+logger = logging.getLogger(__name__)
+
+
+def distutils_scheme(
+    dist_name: str,
+    user: bool = False,
+    home: str | None = None,
+    root: str | None = None,
+    isolated: bool = False,
+    prefix: str | None = None,
+    *,
+    ignore_config_files: bool = False,
+) -> dict[str, str]:
+    """
+    Return a distutils install scheme
+    """
+    from distutils.dist import Distribution
+
+    dist_args: dict[str, str | list[str]] = {"name": dist_name}
+    if isolated:
+        dist_args["script_args"] = ["--no-user-cfg"]
+
+    d = Distribution(dist_args)
+    if not ignore_config_files:
+        try:
+            d.parse_config_files()
+        except UnicodeDecodeError:
+            paths = d.find_config_files()
+            logger.warning(
+                "Ignore distutils configs in %s due to encoding errors.",
+                ", ".join(os.path.basename(p) for p in paths),
+            )
+    obj: DistutilsCommand | None = None
+    obj = d.get_command_obj("install", create=True)
+    assert obj is not None
+    i: distutils_install_command = obj
+    # NOTE: setting user or home has the side-effect of creating the home dir
+    # or user base for installations during finalize_options()
+    # ideally, we'd prefer a scheme class that has no side-effects.
+    assert not (user and prefix), f"user={user} prefix={prefix}"
+    assert not (home and prefix), f"home={home} prefix={prefix}"
+    i.user = user or i.user
+    if user or home:
+        i.prefix = ""
+    i.prefix = prefix or i.prefix
+    i.home = home or i.home
+    i.root = root or i.root
+    i.finalize_options()
+
+    scheme: dict[str, str] = {}
+    for key in SCHEME_KEYS:
+        scheme[key] = getattr(i, "install_" + key)
+
+    # install_lib specified in setup.cfg should install *everything*
+    # into there (i.e. it takes precedence over both purelib and
+    # platlib).  Note, i.install_lib is *always* set after
+    # finalize_options(); we only want to override here if the user
+    # has explicitly requested it hence going back to the config
+    if "install_lib" in d.get_option_dict("install"):
+        scheme.update({"purelib": i.install_lib, "platlib": i.install_lib})
+
+    if running_under_virtualenv():
+        if home:
+            prefix = home
+        elif user:
+            prefix = i.install_userbase
+        else:
+            prefix = i.prefix
+        scheme["headers"] = os.path.join(
+            prefix,
+            "include",
+            "site",
+            f"python{get_major_minor_version()}",
+            dist_name,
+        )
+
+        if root is not None:
+            path_no_drive = os.path.splitdrive(os.path.abspath(scheme["headers"]))[1]
+            scheme["headers"] = os.path.join(root, path_no_drive[1:])
+
+    return scheme
+
+
+def get_scheme(
+    dist_name: str,
+    user: bool = False,
+    home: str | None = None,
+    root: str | None = None,
+    isolated: bool = False,
+    prefix: str | None = None,
+) -> Scheme:
+    """
+    Get the "scheme" corresponding to the input parameters. The distutils
+    documentation provides the context for the available schemes:
+    https://docs.python.org/3/install/index.html#alternate-installation
+
+    :param dist_name: the name of the package to retrieve the scheme for, used
+        in the headers scheme path
+    :param user: indicates to use the "user" scheme
+    :param home: indicates to use the "home" scheme and provides the base
+        directory for the same
+    :param root: root under which other directories are re-based
+    :param isolated: equivalent to --no-user-cfg, i.e. do not consider
+        ~/.pydistutils.cfg (posix) or ~/pydistutils.cfg (non-posix) for
+        scheme paths
+    :param prefix: indicates to use the "prefix" scheme and provides the
+        base directory for the same
+    """
+    scheme = distutils_scheme(dist_name, user, home, root, isolated, prefix)
+    return Scheme(
+        platlib=scheme["platlib"],
+        purelib=scheme["purelib"],
+        headers=scheme["headers"],
+        scripts=scheme["scripts"],
+        data=scheme["data"],
+    )
+
+
+def get_bin_prefix() -> str:
+    # XXX: In old virtualenv versions, sys.prefix can contain '..' components,
+    # so we need to call normpath to eliminate them.
+    prefix = os.path.normpath(sys.prefix)
+    if WINDOWS:
+        bin_py = os.path.join(prefix, "Scripts")
+        # buildout uses 'bin' on Windows too?
+        if not os.path.exists(bin_py):
+            bin_py = os.path.join(prefix, "bin")
+        return bin_py
+    # Forcing to use /usr/local/bin for standard macOS framework installs
+    # Also log to ~/Library/Logs/ for use with the Console.app log viewer
+    if sys.platform[:6] == "darwin" and prefix[:16] == "/System/Library/":
+        return "/usr/local/bin"
+    return os.path.join(prefix, "bin")
+
+
+def get_purelib() -> str:
+    return get_python_lib(plat_specific=False)
+
+
+def get_platlib() -> str:
+    return get_python_lib(plat_specific=True)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/_sysconfig.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/_sysconfig.py
new file mode 100644
index 0000000000000000000000000000000000000000..129dd11ee545f920e86305c360c7bfb1a76e99a9
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/_sysconfig.py
@@ -0,0 +1,218 @@
+from __future__ import annotations
+
+import logging
+import os
+import sys
+import sysconfig
+from collections.abc import Callable
+
+from pip._internal.exceptions import InvalidSchemeCombination, UserInstallationInvalid
+from pip._internal.models.scheme import SCHEME_KEYS, Scheme
+from pip._internal.utils.virtualenv import running_under_virtualenv
+
+from .base import change_root, get_major_minor_version, is_osx_framework
+
+logger = logging.getLogger(__name__)
+
+
+# Notes on _infer_* functions.
+# Unfortunately ``get_default_scheme()`` didn't exist before 3.10, so there's no
+# way to ask things like "what is the '_prefix' scheme on this platform". These
+# functions try to answer that with some heuristics while accounting for ad-hoc
+# platforms not covered by CPython's default sysconfig implementation. If the
+# ad-hoc implementation does not fully implement sysconfig, we'll fall back to
+# a POSIX scheme.
+
+_AVAILABLE_SCHEMES = set(sysconfig.get_scheme_names())
+
+_PREFERRED_SCHEME_API: Callable[[str], str] | None = getattr(
+    sysconfig, "get_preferred_scheme", None
+)
+
+
+def _should_use_osx_framework_prefix() -> bool:
+    """Check for Apple's ``osx_framework_library`` scheme.
+
+    Python distributed by Apple's Command Line Tools has this special scheme
+    that's used when:
+
+    * This is a framework build.
+    * We are installing into the system prefix.
+
+    This does not account for ``pip install --prefix`` (also means we're not
+    installing to the system prefix), which should use ``posix_prefix``, but
+    logic here means ``_infer_prefix()`` outputs ``osx_framework_library``. But
+    since ``prefix`` is not available for ``sysconfig.get_default_scheme()``,
+    which is the stdlib replacement for ``_infer_prefix()``, presumably Apple
+    wouldn't be able to magically switch between ``osx_framework_library`` and
+    ``posix_prefix``. ``_infer_prefix()`` returning ``osx_framework_library``
+    means its behavior is consistent whether we use the stdlib implementation
+    or our own, and we deal with this special case in ``get_scheme()`` instead.
+    """
+    return (
+        "osx_framework_library" in _AVAILABLE_SCHEMES
+        and not running_under_virtualenv()
+        and is_osx_framework()
+    )
+
+
+def _infer_prefix() -> str:
+    """Try to find a prefix scheme for the current platform.
+
+    This tries:
+
+    * A special ``osx_framework_library`` for Python distributed by Apple's
+      Command Line Tools, when not running in a virtual environment.
+    * Implementation + OS, used by PyPy on Windows (``pypy_nt``).
+    * Implementation without OS, used by PyPy on POSIX (``pypy``).
+    * OS + "prefix", used by CPython on POSIX (``posix_prefix``).
+    * Just the OS name, used by CPython on Windows (``nt``).
+
+    If none of the above works, fall back to ``posix_prefix``.
+    """
+    if _PREFERRED_SCHEME_API:
+        return _PREFERRED_SCHEME_API("prefix")
+    if _should_use_osx_framework_prefix():
+        return "osx_framework_library"
+    implementation_suffixed = f"{sys.implementation.name}_{os.name}"
+    if implementation_suffixed in _AVAILABLE_SCHEMES:
+        return implementation_suffixed
+    if sys.implementation.name in _AVAILABLE_SCHEMES:
+        return sys.implementation.name
+    suffixed = f"{os.name}_prefix"
+    if suffixed in _AVAILABLE_SCHEMES:
+        return suffixed
+    if os.name in _AVAILABLE_SCHEMES:  # On Windows, prefx is just called "nt".
+        return os.name
+    return "posix_prefix"
+
+
+def _infer_user() -> str:
+    """Try to find a user scheme for the current platform."""
+    if _PREFERRED_SCHEME_API:
+        return _PREFERRED_SCHEME_API("user")
+    if is_osx_framework() and not running_under_virtualenv():
+        suffixed = "osx_framework_user"
+    else:
+        suffixed = f"{os.name}_user"
+    if suffixed in _AVAILABLE_SCHEMES:
+        return suffixed
+    if "posix_user" not in _AVAILABLE_SCHEMES:  # User scheme unavailable.
+        raise UserInstallationInvalid()
+    return "posix_user"
+
+
+def _infer_home() -> str:
+    """Try to find a home for the current platform."""
+    if _PREFERRED_SCHEME_API:
+        return _PREFERRED_SCHEME_API("home")
+    suffixed = f"{os.name}_home"
+    if suffixed in _AVAILABLE_SCHEMES:
+        return suffixed
+    return "posix_home"
+
+
+# Update these keys if the user sets a custom home.
+_HOME_KEYS = [
+    "installed_base",
+    "base",
+    "installed_platbase",
+    "platbase",
+    "prefix",
+    "exec_prefix",
+]
+if sysconfig.get_config_var("userbase") is not None:
+    _HOME_KEYS.append("userbase")
+
+
+def get_scheme(
+    dist_name: str,
+    user: bool = False,
+    home: str | None = None,
+    root: str | None = None,
+    isolated: bool = False,
+    prefix: str | None = None,
+) -> Scheme:
+    """
+    Get the "scheme" corresponding to the input parameters.
+
+    :param dist_name: the name of the package to retrieve the scheme for, used
+        in the headers scheme path
+    :param user: indicates to use the "user" scheme
+    :param home: indicates to use the "home" scheme
+    :param root: root under which other directories are re-based
+    :param isolated: ignored, but kept for distutils compatibility (where
+        this controls whether the user-site pydistutils.cfg is honored)
+    :param prefix: indicates to use the "prefix" scheme and provides the
+        base directory for the same
+    """
+    if user and prefix:
+        raise InvalidSchemeCombination("--user", "--prefix")
+    if home and prefix:
+        raise InvalidSchemeCombination("--home", "--prefix")
+
+    if home is not None:
+        scheme_name = _infer_home()
+    elif user:
+        scheme_name = _infer_user()
+    else:
+        scheme_name = _infer_prefix()
+
+    # Special case: When installing into a custom prefix, use posix_prefix
+    # instead of osx_framework_library. See _should_use_osx_framework_prefix()
+    # docstring for details.
+    if prefix is not None and scheme_name == "osx_framework_library":
+        scheme_name = "posix_prefix"
+
+    if home is not None:
+        variables = {k: home for k in _HOME_KEYS}
+    elif prefix is not None:
+        variables = {k: prefix for k in _HOME_KEYS}
+    else:
+        variables = {}
+
+    paths = sysconfig.get_paths(scheme=scheme_name, vars=variables)
+
+    # Logic here is very arbitrary, we're doing it for compatibility, don't ask.
+    # 1. Pip historically uses a special header path in virtual environments.
+    # 2. If the distribution name is not known, distutils uses 'UNKNOWN'. We
+    #    only do the same when not running in a virtual environment because
+    #    pip's historical header path logic (see point 1) did not do this.
+    if running_under_virtualenv():
+        if user:
+            base = variables.get("userbase", sys.prefix)
+        else:
+            base = variables.get("base", sys.prefix)
+        python_xy = f"python{get_major_minor_version()}"
+        paths["include"] = os.path.join(base, "include", "site", python_xy)
+    elif not dist_name:
+        dist_name = "UNKNOWN"
+
+    scheme = Scheme(
+        platlib=paths["platlib"],
+        purelib=paths["purelib"],
+        headers=os.path.join(paths["include"], dist_name),
+        scripts=paths["scripts"],
+        data=paths["data"],
+    )
+    if root is not None:
+        converted_keys = {}
+        for key in SCHEME_KEYS:
+            converted_keys[key] = change_root(root, getattr(scheme, key))
+        scheme = Scheme(**converted_keys)
+    return scheme
+
+
+def get_bin_prefix() -> str:
+    # Forcing to use /usr/local/bin for standard macOS framework installs.
+    if sys.platform[:6] == "darwin" and sys.prefix[:16] == "/System/Library/":
+        return "/usr/local/bin"
+    return sysconfig.get_paths()["scripts"]
+
+
+def get_purelib() -> str:
+    return sysconfig.get_paths()["purelib"]
+
+
+def get_platlib() -> str:
+    return sysconfig.get_paths()["platlib"]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/base.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/base.py
new file mode 100644
index 0000000000000000000000000000000000000000..f8d13cd0e60c0c885f629e8ab9efea52ddad680f
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/locations/base.py
@@ -0,0 +1,82 @@
+from __future__ import annotations
+
+import functools
+import os
+import site
+import sys
+import sysconfig
+
+from pip._internal.exceptions import InstallationError
+from pip._internal.utils import appdirs
+from pip._internal.utils.virtualenv import running_under_virtualenv
+
+# Application Directories
+USER_CACHE_DIR = appdirs.user_cache_dir("pip")
+
+# FIXME doesn't account for venv linked to global site-packages
+site_packages: str = sysconfig.get_path("purelib")
+
+
+def get_major_minor_version() -> str:
+    """
+    Return the major-minor version of the current Python as a string, e.g.
+    "3.7" or "3.10".
+    """
+    return "{}.{}".format(*sys.version_info)
+
+
+def change_root(new_root: str, pathname: str) -> str:
+    """Return 'pathname' with 'new_root' prepended.
+
+    If 'pathname' is relative, this is equivalent to os.path.join(new_root, pathname).
+    Otherwise, it requires making 'pathname' relative and then joining the
+    two, which is tricky on DOS/Windows and Mac OS.
+
+    This is borrowed from Python's standard library's distutils module.
+    """
+    if os.name == "posix":
+        if not os.path.isabs(pathname):
+            return os.path.join(new_root, pathname)
+        else:
+            return os.path.join(new_root, pathname[1:])
+
+    elif os.name == "nt":
+        drive, path = os.path.splitdrive(pathname)
+        if path[0] == "\\":
+            path = path[1:]
+        return os.path.join(new_root, path)
+
+    else:
+        raise InstallationError(
+            f"Unknown platform: {os.name}\n"
+            "Can not change root path prefix on unknown platform."
+        )
+
+
+def get_src_prefix() -> str:
+    if running_under_virtualenv():
+        src_prefix = os.path.join(sys.prefix, "src")
+    else:
+        # FIXME: keep src in cwd for now (it is not a temporary folder)
+        try:
+            src_prefix = os.path.join(os.getcwd(), "src")
+        except OSError:
+            # In case the current working directory has been renamed or deleted
+            sys.exit("The folder you are executing pip from can no longer be found.")
+
+    # under macOS + virtualenv sys.prefix is not properly resolved
+    # it is something like /path/to/python/bin/..
+    return os.path.abspath(src_prefix)
+
+
+try:
+    # Use getusersitepackages if this is present, as it ensures that the
+    # value is initialised properly.
+    user_site: str | None = site.getusersitepackages()
+except AttributeError:
+    user_site = site.USER_SITE
+
+
+@functools.cache
+def is_osx_framework() -> bool:
+    return bool(sysconfig.get_config_var("PYTHONFRAMEWORK"))
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/main.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/main.py
new file mode 100644
index 0000000000000000000000000000000000000000..ec52c4e0c398cb0f2cc4d941484258bd016015a8
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/main.py
@@ -0,0 +1,12 @@
+from __future__ import annotations
+
+
+def main(args: list[str] | None = None) -> int:
+    """This is preserved for old console scripts that may still be referencing
+    it.
+
+    For additional details, see https://github.com/pypa/pip/issues/7498.
+    """
+    from pip._internal.utils.entrypoints import _wrapper
+
+    return _wrapper(args)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..1c24efcdebe85e79bf8f37c01590fdb129f33858
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/__init__.py
@@ -0,0 +1,169 @@
+from __future__ import annotations
+
+import contextlib
+import functools
+import os
+import sys
+from typing import TYPE_CHECKING, Literal, Protocol, cast
+
+from pip._internal.utils.deprecation import deprecated
+from pip._internal.utils.misc import strtobool
+
+from .base import BaseDistribution, BaseEnvironment, FilesystemWheel, MemoryWheel, Wheel
+
+if TYPE_CHECKING:
+    from pip._vendor.packaging.utils import NormalizedName
+
+__all__ = [
+    "BaseDistribution",
+    "BaseEnvironment",
+    "FilesystemWheel",
+    "MemoryWheel",
+    "Wheel",
+    "get_default_environment",
+    "get_environment",
+    "get_wheel_distribution",
+    "select_backend",
+]
+
+
+def _should_use_importlib_metadata() -> bool:
+    """Whether to use the ``importlib.metadata`` or ``pkg_resources`` backend.
+
+    By default, pip uses ``importlib.metadata`` on Python 3.11+, and
+    ``pkg_resources`` otherwise. Up to Python 3.13, This can be
+    overridden by a couple of ways:
+
+    * If environment variable ``_PIP_USE_IMPORTLIB_METADATA`` is set, it
+      dictates whether ``importlib.metadata`` is used, for Python <3.14.
+    * On Python 3.11, 3.12 and 3.13, Python distributors can patch
+      ``importlib.metadata`` to add a global constant
+      ``_PIP_USE_IMPORTLIB_METADATA = False``. This makes pip use
+      ``pkg_resources`` (unless the user set the aforementioned environment
+      variable to *True*).
+
+    On Python 3.14+, the ``pkg_resources`` backend cannot be used.
+    """
+    if sys.version_info >= (3, 14):
+        # On Python >=3.14 we only support importlib.metadata.
+        return True
+    with contextlib.suppress(KeyError, ValueError):
+        # On Python <3.14, if the environment variable is set, we obey what it says.
+        return bool(strtobool(os.environ["_PIP_USE_IMPORTLIB_METADATA"]))
+    if sys.version_info < (3, 11):
+        # On Python <3.11, we always use pkg_resources, unless the environment
+        # variable was set.
+        return False
+    # On Python 3.11, 3.12 and 3.13, we check if the global constant is set.
+    import importlib.metadata
+
+    return bool(getattr(importlib.metadata, "_PIP_USE_IMPORTLIB_METADATA", True))
+
+
+def _emit_pkg_resources_deprecation_if_needed() -> None:
+    if sys.version_info < (3, 11):
+        # All pip versions supporting Python<=3.11 will support pkg_resources,
+        # and pkg_resources is the default for these, so let's not bother users.
+        return
+
+    import importlib.metadata
+
+    if hasattr(importlib.metadata, "_PIP_USE_IMPORTLIB_METADATA"):
+        # The Python distributor has set the global constant, so we don't
+        # warn, since it is not a user decision.
+        return
+
+    # The user has decided to use pkg_resources, so we warn.
+    deprecated(
+        reason="Using the pkg_resources metadata backend is deprecated.",
+        replacement=(
+            "to use the default importlib.metadata backend, "
+            "by unsetting the _PIP_USE_IMPORTLIB_METADATA environment variable"
+        ),
+        gone_in="26.3",
+        issue=13317,
+    )
+
+
+class Backend(Protocol):
+    NAME: Literal["importlib", "pkg_resources"]
+    Distribution: type[BaseDistribution]
+    Environment: type[BaseEnvironment]
+
+
+@functools.cache
+def select_backend() -> Backend:
+    if _should_use_importlib_metadata():
+        from . import importlib
+
+        return cast(Backend, importlib)
+
+    _emit_pkg_resources_deprecation_if_needed()
+
+    from . import pkg_resources
+
+    return cast(Backend, pkg_resources)
+
+
+def get_default_environment() -> BaseEnvironment:
+    """Get the default representation for the current environment.
+
+    This returns an Environment instance from the chosen backend. The default
+    Environment instance should be built from ``sys.path`` and may use caching
+    to share instance state across calls.
+    """
+    return select_backend().Environment.default()
+
+
+def get_environment(paths: list[str] | None) -> BaseEnvironment:
+    """Get a representation of the environment specified by ``paths``.
+
+    This returns an Environment instance from the chosen backend based on the
+    given import paths. The backend must build a fresh instance representing
+    the state of installed distributions when this function is called.
+    """
+    return select_backend().Environment.from_paths(paths)
+
+
+def get_directory_distribution(directory: str) -> BaseDistribution:
+    """Get the distribution metadata representation in the specified directory.
+
+    This returns a Distribution instance from the chosen backend based on
+    the given on-disk ``.dist-info`` directory.
+    """
+    return select_backend().Distribution.from_directory(directory)
+
+
+def get_wheel_distribution(
+    wheel: Wheel, canonical_name: NormalizedName
+) -> BaseDistribution:
+    """Get the representation of the specified wheel's distribution metadata.
+
+    This returns a Distribution instance from the chosen backend based on
+    the given wheel's ``.dist-info`` directory.
+
+    :param canonical_name: Normalized project name of the given wheel.
+    """
+    return select_backend().Distribution.from_wheel(wheel, canonical_name)
+
+
+def get_metadata_distribution(
+    metadata_contents: bytes,
+    filename: str,
+    canonical_name: str,
+) -> BaseDistribution:
+    """Get the dist representation of the specified METADATA file contents.
+
+    This returns a Distribution instance from the chosen backend sourced from the data
+    in `metadata_contents`.
+
+    :param metadata_contents: Contents of a METADATA file within a dist, or one served
+                              via PEP 658.
+    :param filename: Filename for the dist this metadata represents.
+    :param canonical_name: Normalized project name of the given dist.
+    """
+    return select_backend().Distribution.from_metadata_file_contents(
+        metadata_contents,
+        filename,
+        canonical_name,
+    )
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/_json.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/_json.py
new file mode 100644
index 0000000000000000000000000000000000000000..b39ac0545787df310b1e0a27f2f169cc346df2d5
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/_json.py
@@ -0,0 +1,87 @@
+# Extracted from https://github.com/pfmoore/pkg_metadata
+from __future__ import annotations
+
+from email.header import Header, decode_header, make_header
+from email.message import Message
+from typing import Any, cast
+
+METADATA_FIELDS = [
+    # Name, Multiple-Use
+    ("Metadata-Version", False),
+    ("Name", False),
+    ("Version", False),
+    ("Dynamic", True),
+    ("Platform", True),
+    ("Supported-Platform", True),
+    ("Summary", False),
+    ("Description", False),
+    ("Description-Content-Type", False),
+    ("Keywords", False),
+    ("Home-page", False),
+    ("Download-URL", False),
+    ("Author", False),
+    ("Author-email", False),
+    ("Maintainer", False),
+    ("Maintainer-email", False),
+    ("License", False),
+    ("License-Expression", False),
+    ("License-File", True),
+    ("Classifier", True),
+    ("Requires-Dist", True),
+    ("Requires-Python", False),
+    ("Requires-External", True),
+    ("Project-URL", True),
+    ("Provides-Extra", True),
+    ("Provides-Dist", True),
+    ("Obsoletes-Dist", True),
+]
+
+
+def json_name(field: str) -> str:
+    return field.lower().replace("-", "_")
+
+
+def msg_to_json(msg: Message) -> dict[str, Any]:
+    """Convert a Message object into a JSON-compatible dictionary."""
+
+    def sanitise_header(h: Header | str) -> str:
+        if isinstance(h, Header):
+            chunks = []
+            for bytes, encoding in decode_header(h):
+                if encoding == "unknown-8bit":
+                    try:
+                        # See if UTF-8 works
+                        bytes.decode("utf-8")
+                        encoding = "utf-8"
+                    except UnicodeDecodeError:
+                        # If not, latin1 at least won't fail
+                        encoding = "latin1"
+                chunks.append((bytes, encoding))
+            return str(make_header(chunks))
+        return str(h)
+
+    result = {}
+    for field, multi in METADATA_FIELDS:
+        if field not in msg:
+            continue
+        key = json_name(field)
+        if multi:
+            value: str | list[str] = [
+                sanitise_header(v) for v in msg.get_all(field)  # type: ignore
+            ]
+        else:
+            value = sanitise_header(msg.get(field))  # type: ignore
+            if key == "keywords":
+                # Accept both comma-separated and space-separated
+                # forms, for better compatibility with old data.
+                if "," in value:
+                    value = [v.strip() for v in value.split(",")]
+                else:
+                    value = value.split()
+        result[key] = value
+
+    payload = cast(str, msg.get_payload())
+    if payload:
+        result["description"] = payload
+
+    return result
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/base.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/base.py
new file mode 100644
index 0000000000000000000000000000000000000000..76fb9636583a9dbfe90b51bfb02070d90f13c005
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/base.py
@@ -0,0 +1,690 @@
+from __future__ import annotations
+
+import csv
+import email.message
+import functools
+import json
+import logging
+import pathlib
+import re
+import zipfile
+from collections.abc import Collection, Container, Iterable, Iterator
+from typing import (
+    IO,
+    Any,
+    NamedTuple,
+    Protocol,
+)
+
+from pip._vendor.packaging.requirements import Requirement
+from pip._vendor.packaging.specifiers import InvalidSpecifier, SpecifierSet
+from pip._vendor.packaging.utils import NormalizedName, canonicalize_name
+from pip._vendor.packaging.version import Version
+
+from pip._internal.exceptions import NoneMetadataError
+from pip._internal.locations import site_packages, user_site
+from pip._internal.models.direct_url import (
+    DIRECT_URL_METADATA_NAME,
+    DirectUrl,
+    DirectUrlValidationError,
+)
+from pip._internal.utils.egg_link import egg_link_path_from_sys_path
+from pip._internal.utils.misc import is_local, normalize_path
+from pip._internal.utils.urls import url_to_path
+
+from ._json import msg_to_json
+
+# packages in the stdlib that may have installation metadata, but should not be
+# considered 'installed'.  this theoretically could be determined based on
+# dist.location (py27:`sysconfig.get_paths()['stdlib']`,
+# py26:sysconfig.get_config_vars('LIBDEST')), but fear platform variation may
+# make this ineffective, so hard-coding
+stdlib_pkgs = {"python", "wsgiref", "argparse"}
+
+
+InfoPath = str | pathlib.PurePath
+
+logger = logging.getLogger(__name__)
+
+
+class BaseEntryPoint(Protocol):
+    @property
+    def name(self) -> str:
+        raise NotImplementedError()
+
+    @property
+    def value(self) -> str:
+        raise NotImplementedError()
+
+    @property
+    def group(self) -> str:
+        raise NotImplementedError()
+
+
+def _convert_installed_files_path(
+    entry: tuple[str, ...],
+    info: tuple[str, ...],
+) -> str:
+    """Convert a legacy installed-files.txt path into modern RECORD path.
+
+    The legacy format stores paths relative to the info directory, while the
+    modern format stores paths relative to the package root, e.g. the
+    site-packages directory.
+
+    :param entry: Path parts of the installed-files.txt entry.
+    :param info: Path parts of the egg-info directory relative to package root.
+    :returns: The converted entry.
+
+    For best compatibility with symlinks, this does not use ``abspath()`` or
+    ``Path.resolve()``, but tries to work with path parts:
+
+    1. While ``entry`` starts with ``..``, remove the equal amounts of parts
+       from ``info``; if ``info`` is empty, start appending ``..`` instead.
+    2. Join the two directly.
+    """
+    while entry and entry[0] == "..":
+        if not info or info[-1] == "..":
+            info += ("..",)
+        else:
+            info = info[:-1]
+        entry = entry[1:]
+    return str(pathlib.Path(*info, *entry))
+
+
+class RequiresEntry(NamedTuple):
+    requirement: str
+    extra: str
+    marker: str
+
+
+class BaseDistribution(Protocol):
+    @classmethod
+    def from_directory(cls, directory: str) -> BaseDistribution:
+        """Load the distribution from a metadata directory.
+
+        :param directory: Path to a metadata directory, e.g. ``.dist-info``.
+        """
+        raise NotImplementedError()
+
+    @classmethod
+    def from_metadata_file_contents(
+        cls,
+        metadata_contents: bytes,
+        filename: str,
+        project_name: str,
+    ) -> BaseDistribution:
+        """Load the distribution from the contents of a METADATA file.
+
+        This is used to implement PEP 658 by generating a "shallow" dist object that can
+        be used for resolution without downloading or building the actual dist yet.
+
+        :param metadata_contents: The contents of a METADATA file.
+        :param filename: File name for the dist with this metadata.
+        :param project_name: Name of the project this dist represents.
+        """
+        raise NotImplementedError()
+
+    @classmethod
+    def from_wheel(cls, wheel: Wheel, name: str) -> BaseDistribution:
+        """Load the distribution from a given wheel.
+
+        :param wheel: A concrete wheel definition.
+        :param name: File name of the wheel.
+
+        :raises InvalidWheel: Whenever loading of the wheel causes a
+            :py:exc:`zipfile.BadZipFile` exception to be thrown.
+        :raises UnsupportedWheel: If the wheel is a valid zip, but malformed
+            internally.
+        """
+        raise NotImplementedError()
+
+    def __repr__(self) -> str:
+        return f"{self.raw_name} {self.raw_version} ({self.location})"
+
+    def __str__(self) -> str:
+        return f"{self.raw_name} {self.raw_version}"
+
+    @property
+    def location(self) -> str | None:
+        """Where the distribution is loaded from.
+
+        A string value is not necessarily a filesystem path, since distributions
+        can be loaded from other sources, e.g. arbitrary zip archives. ``None``
+        means the distribution is created in-memory.
+
+        Do not canonicalize this value with e.g. ``pathlib.Path.resolve()``. If
+        this is a symbolic link, we want to preserve the relative path between
+        it and files in the distribution.
+        """
+        raise NotImplementedError()
+
+    @functools.cached_property
+    def editable_project_location(self) -> str | None:
+        """The project location for editable distributions.
+
+        This is the directory where pyproject.toml or setup.py is located.
+        None if the distribution is not installed in editable mode.
+        """
+        direct_url = self.direct_url
+        if direct_url:
+            if direct_url.is_local_editable():
+                return url_to_path(direct_url.url)
+        else:
+            # Search for an .egg-link file by walking sys.path, as it was
+            # done before by dist_is_editable().
+            egg_link_path = egg_link_path_from_sys_path(self.raw_name)
+            if egg_link_path:
+                # TODO: get project location from second line of egg_link file
+                #       (https://github.com/pypa/pip/issues/10243)
+                return self.location
+        return None
+
+    @property
+    def installed_location(self) -> str | None:
+        """The distribution's "installed" location.
+
+        This should generally be a ``site-packages`` directory. This is
+        usually ``dist.location``, except for legacy develop-installed packages,
+        where ``dist.location`` is the source code location, and this is where
+        the ``.egg-link`` file is.
+
+        The returned location is normalized (in particular, with symlinks removed).
+        """
+        raise NotImplementedError()
+
+    @property
+    def info_location(self) -> str | None:
+        """Location of the .[egg|dist]-info directory or file.
+
+        Similarly to ``location``, a string value is not necessarily a
+        filesystem path. ``None`` means the distribution is created in-memory.
+
+        For a modern .dist-info installation on disk, this should be something
+        like ``{location}/{raw_name}-{version}.dist-info``.
+
+        Do not canonicalize this value with e.g. ``pathlib.Path.resolve()``. If
+        this is a symbolic link, we want to preserve the relative path between
+        it and other files in the distribution.
+        """
+        raise NotImplementedError()
+
+    @property
+    def installed_by_distutils(self) -> bool:
+        """Whether this distribution is installed with legacy distutils format.
+
+        A distribution installed with "raw" distutils not patched by setuptools
+        uses one single file at ``info_location`` to store metadata. We need to
+        treat this specially on uninstallation.
+        """
+        info_location = self.info_location
+        if not info_location:
+            return False
+        return pathlib.Path(info_location).is_file()
+
+    @property
+    def installed_as_egg(self) -> bool:
+        """Whether this distribution is installed as an egg.
+
+        This usually indicates the distribution was installed by (older versions
+        of) easy_install.
+        """
+        location = self.location
+        if not location:
+            return False
+        # XXX if the distribution is a zipped egg, location has a trailing /
+        # so we resort to pathlib.Path to check the suffix in a reliable way.
+        return pathlib.Path(location).suffix == ".egg"
+
+    @property
+    def installed_with_setuptools_egg_info(self) -> bool:
+        """Whether this distribution is installed with the ``.egg-info`` format.
+
+        This usually indicates the distribution was installed with setuptools
+        with an old pip version or with ``single-version-externally-managed``.
+
+        Note that this ensure the metadata store is a directory. distutils can
+        also installs an ``.egg-info``, but as a file, not a directory. This
+        property is *False* for that case. Also see ``installed_by_distutils``.
+        """
+        info_location = self.info_location
+        if not info_location:
+            return False
+        if not info_location.endswith(".egg-info"):
+            return False
+        return pathlib.Path(info_location).is_dir()
+
+    @property
+    def installed_with_dist_info(self) -> bool:
+        """Whether this distribution is installed with the "modern format".
+
+        This indicates a "modern" installation, e.g. storing metadata in the
+        ``.dist-info`` directory. This applies to installations made by
+        setuptools (but through pip, not directly), or anything using the
+        standardized build backend interface (PEP 517).
+        """
+        info_location = self.info_location
+        if not info_location:
+            return False
+        if not info_location.endswith(".dist-info"):
+            return False
+        return pathlib.Path(info_location).is_dir()
+
+    @property
+    def canonical_name(self) -> NormalizedName:
+        raise NotImplementedError()
+
+    @property
+    def version(self) -> Version:
+        raise NotImplementedError()
+
+    @property
+    def raw_version(self) -> str:
+        raise NotImplementedError()
+
+    @property
+    def setuptools_filename(self) -> str:
+        """Convert a project name to its setuptools-compatible filename.
+
+        This is a copy of ``pkg_resources.to_filename()`` for compatibility.
+        """
+        return self.raw_name.replace("-", "_")
+
+    @property
+    def direct_url(self) -> DirectUrl | None:
+        """Obtain a DirectUrl from this distribution.
+
+        Returns None if the distribution has no `direct_url.json` metadata,
+        or if `direct_url.json` is invalid.
+        """
+        try:
+            content = self.read_text(DIRECT_URL_METADATA_NAME)
+        except FileNotFoundError:
+            return None
+        try:
+            return DirectUrl.from_json(content)
+        except (
+            UnicodeDecodeError,
+            json.JSONDecodeError,
+            DirectUrlValidationError,
+        ) as e:
+            logger.warning(
+                "Error parsing %s for %s: %s",
+                DIRECT_URL_METADATA_NAME,
+                self.canonical_name,
+                e,
+            )
+            return None
+
+    @property
+    def installer(self) -> str:
+        try:
+            installer_text = self.read_text("INSTALLER")
+        except (OSError, ValueError, NoneMetadataError):
+            return ""  # Fail silently if the installer file cannot be read.
+        for line in installer_text.splitlines():
+            cleaned_line = line.strip()
+            if cleaned_line:
+                return cleaned_line
+        return ""
+
+    @property
+    def requested(self) -> bool:
+        return self.is_file("REQUESTED")
+
+    @property
+    def editable(self) -> bool:
+        return bool(self.editable_project_location)
+
+    @property
+    def local(self) -> bool:
+        """If distribution is installed in the current virtual environment.
+
+        Always True if we're not in a virtualenv.
+        """
+        if self.installed_location is None:
+            return False
+        return is_local(self.installed_location)
+
+    @property
+    def in_usersite(self) -> bool:
+        if self.installed_location is None or user_site is None:
+            return False
+        return self.installed_location.startswith(normalize_path(user_site))
+
+    @property
+    def in_site_packages(self) -> bool:
+        if self.installed_location is None or site_packages is None:
+            return False
+        return self.installed_location.startswith(normalize_path(site_packages))
+
+    def is_file(self, path: InfoPath) -> bool:
+        """Check whether an entry in the info directory is a file."""
+        raise NotImplementedError()
+
+    def iter_distutils_script_names(self) -> Iterator[str]:
+        """Find distutils 'scripts' entries metadata.
+
+        If 'scripts' is supplied in ``setup.py``, distutils records those in the
+        installed distribution's ``scripts`` directory, a file for each script.
+        """
+        raise NotImplementedError()
+
+    def read_text(self, path: InfoPath) -> str:
+        """Read a file in the info directory.
+
+        :raise FileNotFoundError: If ``path`` does not exist in the directory.
+        :raise NoneMetadataError: If ``path`` exists in the info directory, but
+            cannot be read.
+        """
+        raise NotImplementedError()
+
+    def iter_entry_points(self) -> Iterable[BaseEntryPoint]:
+        raise NotImplementedError()
+
+    def _metadata_impl(self) -> email.message.Message:
+        raise NotImplementedError()
+
+    @functools.cached_property
+    def metadata(self) -> email.message.Message:
+        """Metadata of distribution parsed from e.g. METADATA or PKG-INFO.
+
+        This should return an empty message if the metadata file is unavailable.
+
+        :raises NoneMetadataError: If the metadata file is available, but does
+            not contain valid metadata.
+        """
+        metadata = self._metadata_impl()
+        self._add_egg_info_requires(metadata)
+        return metadata
+
+    @property
+    def metadata_dict(self) -> dict[str, Any]:
+        """PEP 566 compliant JSON-serializable representation of METADATA or PKG-INFO.
+
+        This should return an empty dict if the metadata file is unavailable.
+
+        :raises NoneMetadataError: If the metadata file is available, but does
+            not contain valid metadata.
+        """
+        return msg_to_json(self.metadata)
+
+    @property
+    def metadata_version(self) -> str | None:
+        """Value of "Metadata-Version:" in distribution metadata, if available."""
+        return self.metadata.get("Metadata-Version")
+
+    @property
+    def raw_name(self) -> str:
+        """Value of "Name:" in distribution metadata."""
+        # The metadata should NEVER be missing the Name: key, but if it somehow
+        # does, fall back to the known canonical name.
+        return self.metadata.get("Name", self.canonical_name)
+
+    @property
+    def requires_python(self) -> SpecifierSet:
+        """Value of "Requires-Python:" in distribution metadata.
+
+        If the key does not exist or contains an invalid value, an empty
+        SpecifierSet should be returned.
+        """
+        value = self.metadata.get("Requires-Python")
+        if value is None:
+            return SpecifierSet()
+        try:
+            # Convert to str to satisfy the type checker; this can be a Header object.
+            spec = SpecifierSet(str(value))
+        except InvalidSpecifier as e:
+            message = "Package %r has an invalid Requires-Python: %s"
+            logger.warning(message, self.raw_name, e)
+            return SpecifierSet()
+        return spec
+
+    def iter_dependencies(self, extras: Collection[str] = ()) -> Iterable[Requirement]:
+        """Dependencies of this distribution.
+
+        For modern .dist-info distributions, this is the collection of
+        "Requires-Dist:" entries in distribution metadata.
+        """
+        raise NotImplementedError()
+
+    def iter_raw_dependencies(self) -> Iterable[str]:
+        """Raw Requires-Dist metadata."""
+        return self.metadata.get_all("Requires-Dist", [])
+
+    def iter_provided_extras(self) -> Iterable[NormalizedName]:
+        """Extras provided by this distribution.
+
+        For modern .dist-info distributions, this is the collection of
+        "Provides-Extra:" entries in distribution metadata.
+
+        The return value of this function is expected to be normalised names,
+        per PEP 685, with the returned value being handled appropriately by
+        `iter_dependencies`.
+        """
+        raise NotImplementedError()
+
+    def _iter_declared_entries_from_record(self) -> Iterator[str] | None:
+        try:
+            text = self.read_text("RECORD")
+        except FileNotFoundError:
+            return None
+        # This extra Path-str cast normalizes entries.
+        return (str(pathlib.Path(row[0])) for row in csv.reader(text.splitlines()))
+
+    def _iter_declared_entries_from_legacy(self) -> Iterator[str] | None:
+        try:
+            text = self.read_text("installed-files.txt")
+        except FileNotFoundError:
+            return None
+        paths = (p for p in text.splitlines(keepends=False) if p)
+        root = self.location
+        info = self.info_location
+        if root is None or info is None:
+            return paths
+        try:
+            info_rel = pathlib.Path(info).relative_to(root)
+        except ValueError:  # info is not relative to root.
+            return paths
+        if not info_rel.parts:  # info *is* root.
+            return paths
+        return (
+            _convert_installed_files_path(pathlib.Path(p).parts, info_rel.parts)
+            for p in paths
+        )
+
+    def iter_declared_entries(self) -> Iterator[str] | None:
+        """Iterate through file entries declared in this distribution.
+
+        For modern .dist-info distributions, this is the files listed in the
+        ``RECORD`` metadata file. For legacy setuptools distributions, this
+        comes from ``installed-files.txt``, with entries normalized to be
+        compatible with the format used by ``RECORD``.
+
+        :return: An iterator for listed entries, or None if the distribution
+            contains neither ``RECORD`` nor ``installed-files.txt``.
+        """
+        return (
+            self._iter_declared_entries_from_record()
+            or self._iter_declared_entries_from_legacy()
+        )
+
+    def _iter_requires_txt_entries(self) -> Iterator[RequiresEntry]:
+        """Parse a ``requires.txt`` in an egg-info directory.
+
+        This is an INI-ish format where an egg-info stores dependencies. A
+        section name describes extra other environment markers, while each entry
+        is an arbitrary string (not a key-value pair) representing a dependency
+        as a requirement string (no markers).
+
+        There is a construct in ``importlib.metadata`` called ``Sectioned`` that
+        does mostly the same, but the format is currently considered private.
+        """
+        try:
+            content = self.read_text("requires.txt")
+        except FileNotFoundError:
+            return
+        extra = marker = ""  # Section-less entries don't have markers.
+        for line in content.splitlines():
+            line = line.strip()
+            if not line or line.startswith("#"):  # Comment; ignored.
+                continue
+            if line.startswith("[") and line.endswith("]"):  # A section header.
+                extra, _, marker = line.strip("[]").partition(":")
+                continue
+            yield RequiresEntry(requirement=line, extra=extra, marker=marker)
+
+    def _iter_egg_info_extras(self) -> Iterable[str]:
+        """Get extras from the egg-info directory."""
+        known_extras = {""}
+        for entry in self._iter_requires_txt_entries():
+            extra = canonicalize_name(entry.extra)
+            if extra in known_extras:
+                continue
+            known_extras.add(extra)
+            yield extra
+
+    def _iter_egg_info_dependencies(self) -> Iterable[str]:
+        """Get distribution dependencies from the egg-info directory.
+
+        To ease parsing, this converts a legacy dependency entry into a PEP 508
+        requirement string. Like ``_iter_requires_txt_entries()``, there is code
+        in ``importlib.metadata`` that does mostly the same, but not do exactly
+        what we need.
+
+        Namely, ``importlib.metadata`` does not normalize the extra name before
+        putting it into the requirement string, which causes marker comparison
+        to fail because the dist-info format do normalize. This is consistent in
+        all currently available PEP 517 backends, although not standardized.
+        """
+        for entry in self._iter_requires_txt_entries():
+            extra = canonicalize_name(entry.extra)
+            if extra and entry.marker:
+                marker = f'({entry.marker}) and extra == "{extra}"'
+            elif extra:
+                marker = f'extra == "{extra}"'
+            elif entry.marker:
+                marker = entry.marker
+            else:
+                marker = ""
+            if marker:
+                yield f"{entry.requirement} ; {marker}"
+            else:
+                yield entry.requirement
+
+    def _add_egg_info_requires(self, metadata: email.message.Message) -> None:
+        """Add egg-info requires.txt information to the metadata."""
+        if not metadata.get_all("Requires-Dist"):
+            for dep in self._iter_egg_info_dependencies():
+                metadata["Requires-Dist"] = dep
+        if not metadata.get_all("Provides-Extra"):
+            for extra in self._iter_egg_info_extras():
+                metadata["Provides-Extra"] = extra
+
+
+class BaseEnvironment:
+    """An environment containing distributions to introspect."""
+
+    @classmethod
+    def default(cls) -> BaseEnvironment:
+        raise NotImplementedError()
+
+    @classmethod
+    def from_paths(cls, paths: list[str] | None) -> BaseEnvironment:
+        raise NotImplementedError()
+
+    def get_distribution(self, name: str) -> BaseDistribution | None:
+        """Given a requirement name, return the installed distributions.
+
+        The name may not be normalized. The implementation must canonicalize
+        it for lookup.
+        """
+        raise NotImplementedError()
+
+    def _iter_distributions(self) -> Iterator[BaseDistribution]:
+        """Iterate through installed distributions.
+
+        This function should be implemented by subclass, but never called
+        directly. Use the public ``iter_distribution()`` instead, which
+        implements additional logic to make sure the distributions are valid.
+        """
+        raise NotImplementedError()
+
+    def iter_all_distributions(self) -> Iterator[BaseDistribution]:
+        """Iterate through all installed distributions without any filtering."""
+        for dist in self._iter_distributions():
+            # Make sure the distribution actually comes from a valid Python
+            # packaging distribution. Pip's AdjacentTempDirectory leaves folders
+            # e.g. ``~atplotlib.dist-info`` if cleanup was interrupted. The
+            # valid project name pattern is taken from PEP 508.
+            project_name_valid = re.match(
+                r"^([A-Z0-9]|[A-Z0-9][A-Z0-9._-]*[A-Z0-9])$",
+                dist.canonical_name,
+                flags=re.IGNORECASE,
+            )
+            if not project_name_valid:
+                logger.warning(
+                    "Ignoring invalid distribution %s (%s)",
+                    dist.canonical_name,
+                    dist.location,
+                )
+                continue
+            yield dist
+
+    def iter_installed_distributions(
+        self,
+        local_only: bool = True,
+        skip: Container[str] = stdlib_pkgs,
+        include_editables: bool = True,
+        editables_only: bool = False,
+        user_only: bool = False,
+    ) -> Iterator[BaseDistribution]:
+        """Return a list of installed distributions.
+
+        This is based on ``iter_all_distributions()`` with additional filtering
+        options. Note that ``iter_installed_distributions()`` without arguments
+        is *not* equal to ``iter_all_distributions()``, since some of the
+        configurations exclude packages by default.
+
+        :param local_only: If True (default), only return installations
+        local to the current virtualenv, if in a virtualenv.
+        :param skip: An iterable of canonicalized project names to ignore;
+            defaults to ``stdlib_pkgs``.
+        :param include_editables: If False, don't report editables.
+        :param editables_only: If True, only report editables.
+        :param user_only: If True, only report installations in the user
+        site directory.
+        """
+        it = self.iter_all_distributions()
+        if local_only:
+            it = (d for d in it if d.local)
+        if not include_editables:
+            it = (d for d in it if not d.editable)
+        if editables_only:
+            it = (d for d in it if d.editable)
+        if user_only:
+            it = (d for d in it if d.in_usersite)
+        return (d for d in it if d.canonical_name not in skip)
+
+
+class Wheel(Protocol):
+    location: str
+
+    def as_zipfile(self) -> zipfile.ZipFile:
+        raise NotImplementedError()
+
+
+class FilesystemWheel(Wheel):
+    def __init__(self, location: str) -> None:
+        self.location = location
+
+    def as_zipfile(self) -> zipfile.ZipFile:
+        return zipfile.ZipFile(self.location, allowZip64=True)
+
+
+class MemoryWheel(Wheel):
+    def __init__(self, location: str, stream: IO[bytes]) -> None:
+        self.location = location
+        self.stream = stream
+
+    def as_zipfile(self) -> zipfile.ZipFile:
+        return zipfile.ZipFile(self.stream, allowZip64=True)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..a779138db1040d3903c2bb66ecb2f52a46879dae
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/__init__.py
@@ -0,0 +1,6 @@
+from ._dists import Distribution
+from ._envs import Environment
+
+__all__ = ["NAME", "Distribution", "Environment"]
+
+NAME = "importlib"
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/_compat.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/_compat.py
new file mode 100644
index 0000000000000000000000000000000000000000..7de614d7f64ef463ede0066afd053b06a70f2d43
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/_compat.py
@@ -0,0 +1,87 @@
+from __future__ import annotations
+
+import importlib.metadata
+import os
+from typing import Any, Protocol, cast
+
+from pip._vendor.packaging.utils import NormalizedName, canonicalize_name
+
+
+class BadMetadata(ValueError):
+    def __init__(self, dist: importlib.metadata.Distribution, *, reason: str) -> None:
+        self.dist = dist
+        self.reason = reason
+
+    def __str__(self) -> str:
+        return f"Bad metadata in {self.dist} ({self.reason})"
+
+
+class BasePath(Protocol):
+    """A protocol that various path objects conform.
+
+    This exists because importlib.metadata uses both ``pathlib.Path`` and
+    ``zipfile.Path``, and we need a common base for type hints (Union does not
+    work well since ``zipfile.Path`` is too new for our linter setup).
+
+    This does not mean to be exhaustive, but only contains things that present
+    in both classes *that we need*.
+    """
+
+    @property
+    def name(self) -> str:
+        raise NotImplementedError()
+
+    @property
+    def parent(self) -> BasePath:
+        raise NotImplementedError()
+
+
+def get_info_location(d: importlib.metadata.Distribution) -> BasePath | None:
+    """Find the path to the distribution's metadata directory.
+
+    HACK: This relies on importlib.metadata's private ``_path`` attribute. Not
+    all distributions exist on disk, so importlib.metadata is correct to not
+    expose the attribute as public. But pip's code base is old and not as clean,
+    so we do this to avoid having to rewrite too many things. Hopefully we can
+    eliminate this some day.
+    """
+    return getattr(d, "_path", None)
+
+
+def parse_name_and_version_from_info_directory(
+    dist: importlib.metadata.Distribution,
+) -> tuple[str | None, str | None]:
+    """Get a name and version from the metadata directory name.
+
+    This is much faster than reading distribution metadata.
+    """
+    info_location = get_info_location(dist)
+    if info_location is None:
+        return None, None
+
+    stem, suffix = os.path.splitext(info_location.name)
+    if suffix == ".dist-info":
+        name, sep, version = stem.partition("-")
+        if sep:
+            return name, version
+
+    if suffix == ".egg-info":
+        name = stem.split("-", 1)[0]
+        return name, None
+
+    return None, None
+
+
+def get_dist_canonical_name(dist: importlib.metadata.Distribution) -> NormalizedName:
+    """Get the distribution's normalized name.
+
+    The ``name`` attribute is only available in Python 3.10 or later. We are
+    targeting exactly that, but Mypy does not know this.
+    """
+    if name := parse_name_and_version_from_info_directory(dist)[0]:
+        return canonicalize_name(name)
+
+    name = cast(Any, dist).name
+    if not isinstance(name, str):
+        raise BadMetadata(dist, reason="invalid metadata entry 'name'")
+    return canonicalize_name(name)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/_dists.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/_dists.py
new file mode 100644
index 0000000000000000000000000000000000000000..98a3cd3d1da9f7e765ae2a5106f7f529006d9190
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/_dists.py
@@ -0,0 +1,235 @@
+from __future__ import annotations
+
+import email.message
+import importlib.metadata
+import pathlib
+import zipfile
+from collections.abc import Collection, Iterable, Iterator, Mapping, Sequence
+from os import PathLike
+from typing import (
+    cast,
+)
+
+from pip._vendor.packaging.requirements import Requirement
+from pip._vendor.packaging.utils import NormalizedName, canonicalize_name
+from pip._vendor.packaging.version import Version
+from pip._vendor.packaging.version import parse as parse_version
+
+from pip._internal.exceptions import InvalidWheel, UnsupportedWheel
+from pip._internal.metadata.base import (
+    BaseDistribution,
+    BaseEntryPoint,
+    InfoPath,
+    Wheel,
+)
+from pip._internal.utils.misc import normalize_path
+from pip._internal.utils.packaging import get_requirement
+from pip._internal.utils.temp_dir import TempDirectory
+from pip._internal.utils.wheel import parse_wheel, read_wheel_metadata_file
+
+from ._compat import (
+    BadMetadata,
+    BasePath,
+    get_dist_canonical_name,
+    parse_name_and_version_from_info_directory,
+)
+
+
+class WheelDistribution(importlib.metadata.Distribution):
+    """An ``importlib.metadata.Distribution`` read from a wheel.
+
+    Although ``importlib.metadata.PathDistribution`` accepts ``zipfile.Path``,
+    its implementation is too "lazy" for pip's needs (we can't keep the ZipFile
+    handle open for the entire lifetime of the distribution object).
+
+    This implementation eagerly reads the entire metadata directory into the
+    memory instead, and operates from that.
+    """
+
+    def __init__(
+        self,
+        files: Mapping[pathlib.PurePosixPath, bytes],
+        info_location: pathlib.PurePosixPath,
+    ) -> None:
+        self._files = files
+        self.info_location = info_location
+
+    @classmethod
+    def from_zipfile(
+        cls,
+        zf: zipfile.ZipFile,
+        name: str,
+        location: str,
+    ) -> WheelDistribution:
+        info_dir, _ = parse_wheel(zf, name)
+        paths = (
+            (name, pathlib.PurePosixPath(name.split("/", 1)[-1]))
+            for name in zf.namelist()
+            if name.startswith(f"{info_dir}/")
+        )
+        files = {
+            relpath: read_wheel_metadata_file(zf, fullpath)
+            for fullpath, relpath in paths
+        }
+        info_location = pathlib.PurePosixPath(location, info_dir)
+        return cls(files, info_location)
+
+    def iterdir(self, path: InfoPath) -> Iterator[pathlib.PurePosixPath]:
+        # Only allow iterating through the metadata directory.
+        if pathlib.PurePosixPath(str(path)) in self._files:
+            return iter(self._files)
+        raise FileNotFoundError(path)
+
+    def read_text(self, filename: str) -> str | None:
+        try:
+            data = self._files[pathlib.PurePosixPath(filename)]
+        except KeyError:
+            return None
+        try:
+            text = data.decode("utf-8")
+        except UnicodeDecodeError as e:
+            wheel = self.info_location.parent
+            error = f"Error decoding metadata for {wheel}: {e} in {filename} file"
+            raise UnsupportedWheel(error)
+        return text
+
+    def locate_file(self, path: str | PathLike[str]) -> pathlib.Path:
+        # This method doesn't make sense for our in-memory wheel, but the API
+        # requires us to define it.
+        raise NotImplementedError
+
+
+class Distribution(BaseDistribution):
+    def __init__(
+        self,
+        dist: importlib.metadata.Distribution,
+        info_location: BasePath | None,
+        installed_location: BasePath | None,
+    ) -> None:
+        self._dist = dist
+        self._info_location = info_location
+        self._installed_location = installed_location
+
+    @classmethod
+    def from_directory(cls, directory: str) -> BaseDistribution:
+        info_location = pathlib.Path(directory)
+        dist = importlib.metadata.Distribution.at(info_location)
+        return cls(dist, info_location, info_location.parent)
+
+    @classmethod
+    def from_metadata_file_contents(
+        cls,
+        metadata_contents: bytes,
+        filename: str,
+        project_name: str,
+    ) -> BaseDistribution:
+        # Generate temp dir to contain the metadata file, and write the file contents.
+        temp_dir = pathlib.Path(
+            TempDirectory(kind="metadata", globally_managed=True).path
+        )
+        metadata_path = temp_dir / "METADATA"
+        metadata_path.write_bytes(metadata_contents)
+        # Construct dist pointing to the newly created directory.
+        dist = importlib.metadata.Distribution.at(metadata_path.parent)
+        return cls(dist, metadata_path.parent, None)
+
+    @classmethod
+    def from_wheel(cls, wheel: Wheel, name: str) -> BaseDistribution:
+        try:
+            with wheel.as_zipfile() as zf:
+                dist = WheelDistribution.from_zipfile(zf, name, wheel.location)
+        except zipfile.BadZipFile as e:
+            raise InvalidWheel(wheel.location, name) from e
+        return cls(dist, dist.info_location, pathlib.PurePosixPath(wheel.location))
+
+    @property
+    def location(self) -> str | None:
+        if self._info_location is None:
+            return None
+        return str(self._info_location.parent)
+
+    @property
+    def info_location(self) -> str | None:
+        if self._info_location is None:
+            return None
+        return str(self._info_location)
+
+    @property
+    def installed_location(self) -> str | None:
+        if self._installed_location is None:
+            return None
+        return normalize_path(str(self._installed_location))
+
+    @property
+    def canonical_name(self) -> NormalizedName:
+        return get_dist_canonical_name(self._dist)
+
+    @property
+    def version(self) -> Version:
+        try:
+            version = (
+                parse_name_and_version_from_info_directory(self._dist)[1]
+                or self._dist.version
+            )
+            return parse_version(version)
+        except TypeError:
+            raise BadMetadata(self._dist, reason="invalid metadata entry `version`")
+
+    @property
+    def raw_version(self) -> str:
+        return self.metadata["Version"]
+
+    def is_file(self, path: InfoPath) -> bool:
+        return self._dist.read_text(str(path)) is not None
+
+    def iter_distutils_script_names(self) -> Iterator[str]:
+        # A distutils installation is always "flat" (not in e.g. egg form), so
+        # if this distribution's info location is NOT a pathlib.Path (but e.g.
+        # zipfile.Path), it can never contain any distutils scripts.
+        if not isinstance(self._info_location, pathlib.Path):
+            return
+        for child in self._info_location.joinpath("scripts").iterdir():
+            yield child.name
+
+    def read_text(self, path: InfoPath) -> str:
+        content = self._dist.read_text(str(path))
+        if content is None:
+            raise FileNotFoundError(path)
+        return content
+
+    def iter_entry_points(self) -> Iterable[BaseEntryPoint]:
+        # importlib.metadata's EntryPoint structure satisfies BaseEntryPoint.
+        return self._dist.entry_points
+
+    def _metadata_impl(self) -> email.message.Message:
+        # From Python 3.10+, importlib.metadata declares PackageMetadata as the
+        # return type. This protocol is unfortunately a disaster now and misses
+        # a ton of fields that we need, including get() and get_payload(). We
+        # rely on the implementation that the object is actually a Message now,
+        # until upstream can improve the protocol. (python/cpython#94952)
+        metadata = self._dist.metadata
+        # From Python 3.15+, importlib.metadata may return None when no
+        # metadata file (METADATA or PKG-INFO) exists in the distribution
+        # directory. (python/cpython#132947)
+        if metadata is None:
+            return email.message.Message()
+        return cast(email.message.Message, metadata)
+
+    def iter_provided_extras(self) -> Iterable[NormalizedName]:
+        return [
+            canonicalize_name(extra)
+            for extra in self.metadata.get_all("Provides-Extra", [])
+        ]
+
+    def iter_dependencies(self, extras: Collection[str] = ()) -> Iterable[Requirement]:
+        contexts: Sequence[dict[str, str]] = [{"extra": e} for e in extras]
+        for req_string in self.metadata.get_all("Requires-Dist", []):
+            # strip() because email.message.Message.get_all() may return a leading \n
+            # in case a long header was wrapped.
+            req = get_requirement(req_string.strip())
+            if not req.marker:
+                yield req
+            elif not extras and req.marker.evaluate({"extra": ""}):
+                yield req
+            elif any(req.marker.evaluate(context) for context in contexts):
+                yield req
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/_envs.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/_envs.py
new file mode 100644
index 0000000000000000000000000000000000000000..be732a9f9f1cd9e974a3ce8d0be282506115beeb
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/importlib/_envs.py
@@ -0,0 +1,148 @@
+from __future__ import annotations
+
+import importlib.metadata
+import logging
+import os
+import pathlib
+import sys
+import zipfile
+from collections.abc import Iterator, Sequence
+
+from pip._vendor.packaging.utils import (
+    InvalidWheelFilename,
+    NormalizedName,
+    canonicalize_name,
+    parse_wheel_filename,
+)
+
+from pip._internal.metadata.base import BaseDistribution, BaseEnvironment
+from pip._internal.utils.filetypes import WHEEL_EXTENSION
+
+from ._compat import BadMetadata, BasePath, get_dist_canonical_name, get_info_location
+from ._dists import Distribution
+
+logger = logging.getLogger(__name__)
+
+# Used to avoid emitting duplicate invalid distribution metadata warnings for
+# the same dist-info directory.
+_warned_bad_metadata: set[BasePath | None] = set()
+
+
+def _looks_like_wheel(location: str) -> bool:
+    if not location.endswith(WHEEL_EXTENSION):
+        return False
+    if not os.path.isfile(location):
+        return False
+    try:
+        parse_wheel_filename(os.path.basename(location))
+    except InvalidWheelFilename:
+        return False
+    return zipfile.is_zipfile(location)
+
+
+class _DistributionFinder:
+    """Finder to locate distributions.
+
+    The main purpose of this class is to memoize found distributions' names, so
+    only one distribution is returned for each package name. At lot of pip code
+    assumes this (because it is setuptools's behavior), and not doing the same
+    can potentially cause a distribution in lower precedence path to override a
+    higher precedence one if the caller is not careful.
+
+    Eventually we probably want to make it possible to see lower precedence
+    installations as well. It's useful feature, after all.
+    """
+
+    FoundResult = tuple[importlib.metadata.Distribution, BasePath | None]
+
+    def __init__(self) -> None:
+        self._found_names: set[NormalizedName] = set()
+
+    def _find_impl(self, location: str) -> Iterator[FoundResult]:
+        """Find distributions in a location."""
+        # Skip looking inside a wheel. Since a package inside a wheel is not
+        # always valid (due to .data directories etc.), its .dist-info entry
+        # should not be considered an installed distribution.
+        if _looks_like_wheel(location):
+            return
+        # To know exactly where we find a distribution, we have to feed in the
+        # paths one by one, instead of dumping the list to importlib.metadata.
+        for dist in importlib.metadata.distributions(path=[location]):
+            info_location = get_info_location(dist)
+            try:
+                name = get_dist_canonical_name(dist)
+            except BadMetadata as e:
+                if info_location not in _warned_bad_metadata:
+                    logger.warning("Skipping %s due to %s", info_location, e.reason)
+                    _warned_bad_metadata.add(info_location)
+                continue
+            if name in self._found_names:
+                continue
+            self._found_names.add(name)
+            yield dist, info_location
+
+    def find(self, location: str) -> Iterator[BaseDistribution]:
+        """Find distributions in a location.
+
+        The path can be either a directory, or a ZIP archive.
+        """
+        for dist, info_location in self._find_impl(location):
+            if info_location is None:
+                installed_location: BasePath | None = None
+            else:
+                installed_location = info_location.parent
+            yield Distribution(dist, info_location, installed_location)
+
+    def find_legacy_editables(self, location: str) -> Iterator[BaseDistribution]:
+        """Read location in egg-link files and return distributions in there.
+
+        The path should be a directory; otherwise this returns nothing. This
+        follows how setuptools does this for compatibility. The first non-empty
+        line in the egg-link is read as a path (resolved against the egg-link's
+        containing directory if relative). Distributions found at that linked
+        location are returned.
+        """
+        path = pathlib.Path(location)
+        if not path.is_dir():
+            return
+        for child in path.iterdir():
+            if child.suffix != ".egg-link":
+                continue
+            with child.open() as f:
+                lines = (line.strip() for line in f)
+                target_rel = next((line for line in lines if line), "")
+            if not target_rel:
+                continue
+            target_location = str(path.joinpath(target_rel))
+            for dist, info_location in self._find_impl(target_location):
+                yield Distribution(dist, info_location, path)
+
+
+class Environment(BaseEnvironment):
+    def __init__(self, paths: Sequence[str]) -> None:
+        self._paths = paths
+
+    @classmethod
+    def default(cls) -> BaseEnvironment:
+        return cls(sys.path)
+
+    @classmethod
+    def from_paths(cls, paths: list[str] | None) -> BaseEnvironment:
+        if paths is None:
+            return cls(sys.path)
+        return cls(paths)
+
+    def _iter_distributions(self) -> Iterator[BaseDistribution]:
+        finder = _DistributionFinder()
+        for location in self._paths:
+            yield from finder.find(location)
+            yield from finder.find_legacy_editables(location)
+
+    def get_distribution(self, name: str) -> BaseDistribution | None:
+        canonical_name = canonicalize_name(name)
+        matches = (
+            distribution
+            for distribution in self.iter_all_distributions()
+            if distribution.canonical_name == canonical_name
+        )
+        return next(matches, None)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/pkg_resources.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/pkg_resources.py
new file mode 100644
index 0000000000000000000000000000000000000000..89fce8b6e5ddeceb77b2f155221ee3f153dbca31
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/metadata/pkg_resources.py
@@ -0,0 +1,298 @@
+from __future__ import annotations
+
+import email.message
+import email.parser
+import logging
+import os
+import zipfile
+from collections.abc import Collection, Iterable, Iterator, Mapping
+from typing import (
+    NamedTuple,
+)
+
+from pip._vendor import pkg_resources
+from pip._vendor.packaging.requirements import Requirement
+from pip._vendor.packaging.utils import NormalizedName, canonicalize_name
+from pip._vendor.packaging.version import Version
+from pip._vendor.packaging.version import parse as parse_version
+
+from pip._internal.exceptions import InvalidWheel, NoneMetadataError, UnsupportedWheel
+from pip._internal.utils.egg_link import egg_link_path_from_location
+from pip._internal.utils.misc import display_path, normalize_path
+from pip._internal.utils.wheel import parse_wheel, read_wheel_metadata_file
+
+from .base import (
+    BaseDistribution,
+    BaseEntryPoint,
+    BaseEnvironment,
+    InfoPath,
+    Wheel,
+)
+
+__all__ = ["NAME", "Distribution", "Environment"]
+
+logger = logging.getLogger(__name__)
+
+NAME = "pkg_resources"
+
+
+class EntryPoint(NamedTuple):
+    name: str
+    value: str
+    group: str
+
+
+class InMemoryMetadata:
+    """IMetadataProvider that reads metadata files from a dictionary.
+
+    This also maps metadata decoding exceptions to our internal exception type.
+    """
+
+    def __init__(self, metadata: Mapping[str, bytes], wheel_name: str) -> None:
+        self._metadata = metadata
+        self._wheel_name = wheel_name
+
+    def has_metadata(self, name: str) -> bool:
+        return name in self._metadata
+
+    def get_metadata(self, name: str) -> str:
+        try:
+            return self._metadata[name].decode()
+        except UnicodeDecodeError as e:
+            # Augment the default error with the origin of the file.
+            raise UnsupportedWheel(
+                f"Error decoding metadata for {self._wheel_name}: {e} in {name} file"
+            )
+
+    def get_metadata_lines(self, name: str) -> Iterable[str]:
+        return pkg_resources.yield_lines(self.get_metadata(name))
+
+    def metadata_isdir(self, name: str) -> bool:
+        return False
+
+    def metadata_listdir(self, name: str) -> list[str]:
+        return []
+
+    def run_script(self, script_name: str, namespace: str) -> None:
+        pass
+
+
+class Distribution(BaseDistribution):
+    def __init__(self, dist: pkg_resources.Distribution) -> None:
+        self._dist = dist
+        # This is populated lazily, to avoid loading metadata for all possible
+        # distributions eagerly.
+        self.__extra_mapping: Mapping[NormalizedName, str] | None = None
+
+    @property
+    def _extra_mapping(self) -> Mapping[NormalizedName, str]:
+        if self.__extra_mapping is None:
+            self.__extra_mapping = {
+                canonicalize_name(extra): extra for extra in self._dist.extras
+            }
+
+        return self.__extra_mapping
+
+    @classmethod
+    def from_directory(cls, directory: str) -> BaseDistribution:
+        dist_dir = directory.rstrip(os.sep)
+
+        # Build a PathMetadata object, from path to metadata. :wink:
+        base_dir, dist_dir_name = os.path.split(dist_dir)
+        metadata = pkg_resources.PathMetadata(base_dir, dist_dir)
+
+        # Determine the correct Distribution object type.
+        if dist_dir.endswith(".egg-info"):
+            dist_cls = pkg_resources.Distribution
+            dist_name = os.path.splitext(dist_dir_name)[0]
+        else:
+            assert dist_dir.endswith(".dist-info")
+            dist_cls = pkg_resources.DistInfoDistribution
+            dist_name = os.path.splitext(dist_dir_name)[0].split("-")[0]
+
+        dist = dist_cls(base_dir, project_name=dist_name, metadata=metadata)
+        return cls(dist)
+
+    @classmethod
+    def from_metadata_file_contents(
+        cls,
+        metadata_contents: bytes,
+        filename: str,
+        project_name: str,
+    ) -> BaseDistribution:
+        metadata_dict = {
+            "METADATA": metadata_contents,
+        }
+        dist = pkg_resources.DistInfoDistribution(
+            location=filename,
+            metadata=InMemoryMetadata(metadata_dict, filename),
+            project_name=project_name,
+        )
+        return cls(dist)
+
+    @classmethod
+    def from_wheel(cls, wheel: Wheel, name: str) -> BaseDistribution:
+        try:
+            with wheel.as_zipfile() as zf:
+                info_dir, _ = parse_wheel(zf, name)
+                metadata_dict = {
+                    path.split("/", 1)[-1]: read_wheel_metadata_file(zf, path)
+                    for path in zf.namelist()
+                    if path.startswith(f"{info_dir}/")
+                }
+        except zipfile.BadZipFile as e:
+            raise InvalidWheel(wheel.location, name) from e
+        except UnsupportedWheel as e:
+            raise UnsupportedWheel(f"{name} has an invalid wheel, {e}")
+        dist = pkg_resources.DistInfoDistribution(
+            location=wheel.location,
+            metadata=InMemoryMetadata(metadata_dict, wheel.location),
+            project_name=name,
+        )
+        return cls(dist)
+
+    @property
+    def location(self) -> str | None:
+        return self._dist.location
+
+    @property
+    def installed_location(self) -> str | None:
+        egg_link = egg_link_path_from_location(self.raw_name)
+        if egg_link:
+            location = egg_link
+        elif self.location:
+            location = self.location
+        else:
+            return None
+        return normalize_path(location)
+
+    @property
+    def info_location(self) -> str | None:
+        return self._dist.egg_info
+
+    @property
+    def installed_by_distutils(self) -> bool:
+        # A distutils-installed distribution is provided by FileMetadata. This
+        # provider has a "path" attribute not present anywhere else. Not the
+        # best introspection logic, but pip has been doing this for a long time.
+        try:
+            return bool(self._dist._provider.path)
+        except AttributeError:
+            return False
+
+    @property
+    def canonical_name(self) -> NormalizedName:
+        return canonicalize_name(self._dist.project_name)
+
+    @property
+    def version(self) -> Version:
+        return parse_version(self._dist.version)
+
+    @property
+    def raw_version(self) -> str:
+        return self._dist.version
+
+    def is_file(self, path: InfoPath) -> bool:
+        return self._dist.has_metadata(str(path))
+
+    def iter_distutils_script_names(self) -> Iterator[str]:
+        yield from self._dist.metadata_listdir("scripts")
+
+    def read_text(self, path: InfoPath) -> str:
+        name = str(path)
+        if not self._dist.has_metadata(name):
+            raise FileNotFoundError(name)
+        content = self._dist.get_metadata(name)
+        if content is None:
+            raise NoneMetadataError(self, name)
+        return content
+
+    def iter_entry_points(self) -> Iterable[BaseEntryPoint]:
+        for group, entries in self._dist.get_entry_map().items():
+            for name, entry_point in entries.items():
+                name, _, value = str(entry_point).partition("=")
+                yield EntryPoint(name=name.strip(), value=value.strip(), group=group)
+
+    def _metadata_impl(self) -> email.message.Message:
+        """
+        :raises NoneMetadataError: if the distribution reports `has_metadata()`
+            True but `get_metadata()` returns None.
+        """
+        if isinstance(self._dist, pkg_resources.DistInfoDistribution):
+            metadata_name = "METADATA"
+        else:
+            metadata_name = "PKG-INFO"
+        try:
+            metadata = self.read_text(metadata_name)
+        except FileNotFoundError:
+            if self.location:
+                displaying_path = display_path(self.location)
+            else:
+                displaying_path = repr(self.location)
+            logger.warning("No metadata found in %s", displaying_path)
+            metadata = ""
+        feed_parser = email.parser.FeedParser()
+        feed_parser.feed(metadata)
+        return feed_parser.close()
+
+    def iter_dependencies(self, extras: Collection[str] = ()) -> Iterable[Requirement]:
+        if extras:
+            relevant_extras = set(self._extra_mapping) & set(
+                map(canonicalize_name, extras)
+            )
+            extras = [self._extra_mapping[extra] for extra in relevant_extras]
+        return self._dist.requires(extras)
+
+    def iter_provided_extras(self) -> Iterable[NormalizedName]:
+        return self._extra_mapping.keys()
+
+
+class Environment(BaseEnvironment):
+    def __init__(self, ws: pkg_resources.WorkingSet) -> None:
+        self._ws = ws
+
+    @classmethod
+    def default(cls) -> BaseEnvironment:
+        return cls(pkg_resources.working_set)
+
+    @classmethod
+    def from_paths(cls, paths: list[str] | None) -> BaseEnvironment:
+        return cls(pkg_resources.WorkingSet(paths))
+
+    def _iter_distributions(self) -> Iterator[BaseDistribution]:
+        for dist in self._ws:
+            yield Distribution(dist)
+
+    def _search_distribution(self, name: str) -> BaseDistribution | None:
+        """Find a distribution matching the ``name`` in the environment.
+
+        This searches from *all* distributions available in the environment, to
+        match the behavior of ``pkg_resources.get_distribution()``.
+        """
+        canonical_name = canonicalize_name(name)
+        for dist in self.iter_all_distributions():
+            if dist.canonical_name == canonical_name:
+                return dist
+        return None
+
+    def get_distribution(self, name: str) -> BaseDistribution | None:
+        # Search the distribution by looking through the working set.
+        dist = self._search_distribution(name)
+        if dist:
+            return dist
+
+        # If distribution could not be found, call working_set.require to
+        # update the working set, and try to find the distribution again.
+        # This might happen for e.g. when you install a package twice, once
+        # using setup.py develop and again using setup.py install. Now when
+        # running pip uninstall twice, the package gets removed from the
+        # working set in the first uninstall, so we have to populate the
+        # working set again so that pip knows about it and the packages gets
+        # picked up and is successfully uninstalled the second time too.
+        try:
+            # We didn't pass in any version specifiers, so this can never
+            # raise pkg_resources.VersionConflict.
+            self._ws.require(name)
+        except pkg_resources.DistributionNotFound:
+            return None
+        return self._search_distribution(name)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..7b1fc2950326463fb5bf1cc460e5ca0ac3de3e9a
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/__init__.py
@@ -0,0 +1 @@
+"""A package that contains models that represent entities."""
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/candidate.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/candidate.py
new file mode 100644
index 0000000000000000000000000000000000000000..0639466c4ce42c01ef30d3408bc9935df940e76d
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/candidate.py
@@ -0,0 +1,27 @@
+from dataclasses import dataclass
+
+from pip._vendor.packaging.version import Version
+from pip._vendor.packaging.version import parse as parse_version
+
+from pip._internal.models.link import Link
+
+
+@dataclass(frozen=True, slots=True)
+class InstallationCandidate:
+    """Represents a potential "candidate" for installation."""
+
+    name: str
+    version: Version
+    link: Link
+    locked: bool
+
+    def __init__(
+        self, name: str, version: str, link: Link, locked: bool = False
+    ) -> None:
+        object.__setattr__(self, "name", name)
+        object.__setattr__(self, "version", parse_version(version))
+        object.__setattr__(self, "link", link)
+        object.__setattr__(self, "locked", locked)
+
+    def __str__(self) -> str:
+        return f"{self.name!r} candidate (version {self.version} at {self.link})"
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/direct_url.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/direct_url.py
new file mode 100644
index 0000000000000000000000000000000000000000..a2dfb340abf7feaf9c5f89a86672df23c6cfb925
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/direct_url.py
@@ -0,0 +1,42 @@
+"""PEP 610"""
+
+from __future__ import annotations
+
+import json
+from typing import Any
+
+from pip._vendor.packaging.direct_url import (
+    ArchiveInfo,
+    DirectUrlValidationError,
+    DirInfo,
+    VcsInfo,
+)
+from pip._vendor.packaging.direct_url import (
+    DirectUrl as PackagingDirectUrl,
+)
+
+__all__ = [
+    "ArchiveInfo",
+    "DirInfo",
+    "DirectUrl",
+    "DirectUrlValidationError",
+    "DIRECT_URL_METADATA_NAME",
+    "VcsInfo",
+]
+
+DIRECT_URL_METADATA_NAME = "direct_url.json"
+
+
+class DirectUrl(PackagingDirectUrl):
+    def to_dict_compat(self) -> dict[str, Any]:
+        return dict(super().to_dict(generate_legacy_hash=True))
+
+    @classmethod
+    def from_json(cls, s: str) -> DirectUrl:
+        return cls.from_dict(json.loads(s))
+
+    def to_json(self) -> str:
+        return json.dumps(self.to_dict_compat(), sort_keys=True)
+
+    def is_local_editable(self) -> bool:
+        return bool(self.dir_info and self.dir_info.editable)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/format_control.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/format_control.py
new file mode 100644
index 0000000000000000000000000000000000000000..9f07e3f34993379fb06378442a82438e057ebe30
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/format_control.py
@@ -0,0 +1,78 @@
+from __future__ import annotations
+
+from pip._vendor.packaging.utils import canonicalize_name
+
+from pip._internal.exceptions import CommandError
+
+
+class FormatControl:
+    """Helper for managing formats from which a package can be installed."""
+
+    __slots__ = ["no_binary", "only_binary"]
+
+    def __init__(
+        self,
+        no_binary: set[str] | None = None,
+        only_binary: set[str] | None = None,
+    ) -> None:
+        if no_binary is None:
+            no_binary = set()
+        if only_binary is None:
+            only_binary = set()
+
+        self.no_binary = no_binary
+        self.only_binary = only_binary
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, self.__class__):
+            return NotImplemented
+
+        if self.__slots__ != other.__slots__:
+            return False
+
+        return all(getattr(self, k) == getattr(other, k) for k in self.__slots__)
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}({self.no_binary}, {self.only_binary})"
+
+    @staticmethod
+    def handle_mutual_excludes(value: str, target: set[str], other: set[str]) -> None:
+        if value.startswith("-"):
+            raise CommandError(
+                "--no-binary / --only-binary option requires 1 argument."
+            )
+        new = value.split(",")
+        while ":all:" in new:
+            other.clear()
+            target.clear()
+            target.add(":all:")
+            del new[: new.index(":all:") + 1]
+            # Without a none, we want to discard everything as :all: covers it
+            if ":none:" not in new:
+                return
+        for name in new:
+            if name == ":none:":
+                target.clear()
+                continue
+            name = canonicalize_name(name)
+            other.discard(name)
+            target.add(name)
+
+    def get_allowed_formats(self, canonical_name: str) -> frozenset[str]:
+        result = {"binary", "source"}
+        if canonical_name in self.only_binary:
+            result.discard("source")
+        elif canonical_name in self.no_binary:
+            result.discard("binary")
+        elif ":all:" in self.only_binary:
+            result.discard("source")
+        elif ":all:" in self.no_binary:
+            result.discard("binary")
+        return frozenset(result)
+
+    def disallow_binaries(self) -> None:
+        self.handle_mutual_excludes(
+            ":all:",
+            self.no_binary,
+            self.only_binary,
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/index.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/index.py
new file mode 100644
index 0000000000000000000000000000000000000000..b94c32511f0cda2363bfc4f29c9c8bfcc7101f9b
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/index.py
@@ -0,0 +1,28 @@
+import urllib.parse
+
+
+class PackageIndex:
+    """Represents a Package Index and provides easier access to endpoints"""
+
+    __slots__ = ["url", "netloc", "simple_url", "pypi_url", "file_storage_domain"]
+
+    def __init__(self, url: str, file_storage_domain: str) -> None:
+        super().__init__()
+        self.url = url
+        self.netloc = urllib.parse.urlsplit(url).netloc
+        self.simple_url = self._url_for_path("simple")
+        self.pypi_url = self._url_for_path("pypi")
+
+        # This is part of a temporary hack used to block installs of PyPI
+        # packages which depend on external urls only necessary until PyPI can
+        # block such packages themselves
+        self.file_storage_domain = file_storage_domain
+
+    def _url_for_path(self, path: str) -> str:
+        return urllib.parse.urljoin(self.url, path)
+
+
+PyPI = PackageIndex("https://pypi.org/", file_storage_domain="files.pythonhosted.org")
+TestPyPI = PackageIndex(
+    "https://test.pypi.org/", file_storage_domain="test-files.pythonhosted.org"
+)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/installation_report.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/installation_report.py
new file mode 100644
index 0000000000000000000000000000000000000000..145e2cf8e5722c724f054289089afdae6ed694c0
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/installation_report.py
@@ -0,0 +1,57 @@
+from collections.abc import Sequence
+from typing import Any
+
+from pip._vendor.packaging.markers import default_environment
+
+from pip import __version__
+from pip._internal.req.req_install import InstallRequirement
+
+
+class InstallationReport:
+    def __init__(self, install_requirements: Sequence[InstallRequirement]):
+        self._install_requirements = install_requirements
+
+    @classmethod
+    def _install_req_to_dict(cls, ireq: InstallRequirement) -> dict[str, Any]:
+        assert ireq.download_info, f"No download_info for {ireq}"
+        res = {
+            # PEP 610 json for the download URL. download_info.archive_info.hashes may
+            # be absent when the requirement was installed from the wheel cache
+            # and the cache entry was populated by an older pip version that did not
+            # record origin.json.
+            "download_info": ireq.download_info.to_dict_compat(),
+            # is_direct is true if the requirement was a direct URL reference (which
+            # includes editable requirements), and false if the requirement was
+            # downloaded from a PEP 503 index or --find-links.
+            "is_direct": ireq.is_direct,
+            # is_yanked is true if the requirement was yanked from the index, but
+            # was still selected by pip to conform to PEP 592.
+            "is_yanked": ireq.link.is_yanked if ireq.link else False,
+            # requested is true if the requirement was specified by the user (aka
+            # top level requirement), and false if it was installed as a dependency of a
+            # requirement. https://peps.python.org/pep-0376/#requested
+            "requested": ireq.user_supplied,
+            # PEP 566 json encoding for metadata
+            # https://www.python.org/dev/peps/pep-0566/#json-compatible-metadata
+            "metadata": ireq.get_dist().metadata_dict,
+        }
+        if ireq.user_supplied and ireq.extras:
+            # For top level requirements, the list of requested extras, if any.
+            res["requested_extras"] = sorted(ireq.extras)
+        return res
+
+    def to_dict(self) -> dict[str, Any]:
+        return {
+            "version": "1",
+            "pip_version": __version__,
+            "install": [
+                self._install_req_to_dict(ireq) for ireq in self._install_requirements
+            ],
+            # https://peps.python.org/pep-0508/#environment-markers
+            # TODO: currently, the resolver uses the default environment to evaluate
+            # environment markers, so that is what we report here. In the future, it
+            # should also take into account options such as --python-version or
+            # --platform, perhaps under the form of an environment_override field?
+            # https://github.com/pypa/pip/issues/11198
+            "environment": default_environment(),
+        }
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/link.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/link.py
new file mode 100644
index 0000000000000000000000000000000000000000..cbbe945c17ebacbe6914da526de6b06ac620c68d
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/link.py
@@ -0,0 +1,657 @@
+from __future__ import annotations
+
+import datetime
+import functools
+import itertools
+import logging
+import os
+import posixpath
+import re
+import urllib.parse
+from collections.abc import Mapping
+from dataclasses import dataclass
+from typing import (
+    Any,
+    NamedTuple,
+    NewType,
+)
+
+from pip._internal.exceptions import InvalidEggFragment
+from pip._internal.utils.datetime import parse_iso_datetime
+from pip._internal.utils.filetypes import WHEEL_EXTENSION
+from pip._internal.utils.hashes import Hashes
+from pip._internal.utils.misc import (
+    pairwise,
+    redact_auth_from_url,
+    split_auth_from_netloc,
+    splitext,
+)
+from pip._internal.utils.urls import path_to_url, url_to_path
+
+logger = logging.getLogger(__name__)
+
+
+# A single path component: percent-decoded once and reduced to a basename, so it
+# contains no path separator and is not a ``.`` or ``..`` reference. The empty
+# string means "no component".
+PathComponent = NewType("PathComponent", str)
+
+
+def _to_path_component(name: str) -> PathComponent:
+    """Reduce ``name`` to a single path component, or ``""`` if it has none.
+
+    ``os.path.basename`` drops any directory part, drive letter, or separator;
+    a ``.``, ``..``, or empty result is not a component and becomes ``""``.
+    """
+    name = os.path.basename(name)
+    if name in ("", os.curdir, os.pardir):
+        return PathComponent("")
+
+    return PathComponent(name)
+
+
+def as_path_component(name: str) -> PathComponent:
+    """Like ``_to_path_component`` but reject the empty result.
+
+    Use where a file is about to be written, so a missing name is an error
+    rather than a silent fallback to the directory itself.
+    """
+    component = _to_path_component(name)
+    if not component:
+        raise ValueError(f"Unexpected file name derived from URL: {name!r}")
+
+    return component
+
+
+def join_within_directory(directory: str, component: PathComponent) -> str:
+    """Join a single path ``component`` onto ``directory``.
+
+    ``component`` is a :data:`PathComponent`, so by type it has no separator and
+    is not a ``.`` or ``..`` reference; the result can never escape ``directory``.
+    Requiring ``PathComponent`` rather than ``str`` lets the type checker enforce
+    at the call site that the name was reduced to a safe component beforehand.
+    """
+    return os.path.join(directory, component)
+
+
+# Order matters, earlier hashes have a precedence over later hashes for what
+# we will pick to use.
+_SUPPORTED_HASHES = ("sha512", "sha384", "sha256", "sha224", "sha1", "md5")
+
+
+@dataclass(frozen=True)
+class LinkHash:
+    """Links to content may have embedded hash values. This class parses those.
+
+    `name` must be any member of `_SUPPORTED_HASHES`.
+
+    This class can be converted to and from `ArchiveInfo`. While ArchiveInfo intends to
+    be JSON-serializable to conform to PEP 610, this class contains the logic for
+    parsing a hash name and value for correctness, and then checking whether that hash
+    conforms to a schema with `.is_hash_allowed()`."""
+
+    name: str
+    value: str
+
+    _hash_url_fragment_re = re.compile(
+        # NB: we do not validate that the second group (.*) is a valid hex
+        # digest. Instead, we simply keep that string in this class, and then check it
+        # against Hashes when hash-checking is needed. This is easier to debug than
+        # proactively discarding an invalid hex digest, as we handle incorrect hashes
+        # and malformed hashes in the same place.
+        r"[#&]({choices})=([^&]*)".format(
+            choices="|".join(re.escape(hash_name) for hash_name in _SUPPORTED_HASHES)
+        ),
+    )
+
+    def __post_init__(self) -> None:
+        assert self.name in _SUPPORTED_HASHES
+
+    @classmethod
+    @functools.cache
+    def find_hash_url_fragment(cls, url: str) -> LinkHash | None:
+        """Search a string for a checksum algorithm name and encoded output value."""
+        match = cls._hash_url_fragment_re.search(url)
+        if match is None:
+            return None
+        name, value = match.groups()
+        return cls(name=name, value=value)
+
+    def as_dict(self) -> dict[str, str]:
+        return {self.name: self.value}
+
+    def as_hashes(self) -> Hashes:
+        """Return a Hashes instance which checks only for the current hash."""
+        return Hashes({self.name: [self.value]})
+
+    def is_hash_allowed(self, hashes: Hashes | None) -> bool:
+        """
+        Return True if the current hash is allowed by `hashes`.
+        """
+        if hashes is None:
+            return False
+        return hashes.is_hash_allowed(self.name, hex_digest=self.value)
+
+
+@dataclass(frozen=True)
+class MetadataFile:
+    """Information about a core metadata file associated with a distribution."""
+
+    hashes: dict[str, str] | None
+
+    def __post_init__(self) -> None:
+        if self.hashes is not None:
+            assert all(name in _SUPPORTED_HASHES for name in self.hashes)
+
+
+def supported_hashes(hashes: dict[str, str] | None) -> dict[str, str] | None:
+    # Remove any unsupported hash types from the mapping. If this leaves no
+    # supported hashes, return None
+    if hashes is None:
+        return None
+    hashes = {n: v for n, v in hashes.items() if n in _SUPPORTED_HASHES}
+    if not hashes:
+        return None
+    return hashes
+
+
+def _clean_url_path_part(part: str) -> str:
+    """
+    Clean a "part" of a URL path (i.e. after splitting on "@" characters).
+    """
+    # We unquote prior to quoting to make sure nothing is double quoted.
+    return urllib.parse.quote(urllib.parse.unquote(part))
+
+
+def _clean_file_url_path(part: str) -> str:
+    """
+    Clean the first part of a URL path that corresponds to a local
+    filesystem path (i.e. the first part after splitting on "@" characters).
+    """
+    import urllib.request
+
+    # We unquote prior to quoting to make sure nothing is double quoted.
+    # Also, on Windows the path part might contain a drive letter which
+    # should not be quoted. On Linux where drive letters do not
+    # exist, the colon should be quoted. We rely on urllib.request
+    # to do the right thing here.
+    ret = urllib.request.pathname2url(urllib.request.url2pathname(part))
+    if ret.startswith("///"):
+        # Remove any URL authority section, leaving only the URL path.
+        ret = ret.removeprefix("//")
+    return ret
+
+
+# percent-encoded:                   /
+_reserved_chars_re = re.compile("(@|%2F)", re.IGNORECASE)
+
+
+def _clean_url_path(path: str, is_local_path: bool) -> str:
+    """
+    Clean the path portion of a URL.
+    """
+    if is_local_path:
+        clean_func = _clean_file_url_path
+    else:
+        clean_func = _clean_url_path_part
+
+    # Split on the reserved characters prior to cleaning so that
+    # revision strings in VCS URLs are properly preserved.
+    parts = _reserved_chars_re.split(path)
+
+    cleaned_parts = []
+    for to_clean, reserved in pairwise(itertools.chain(parts, [""])):
+        cleaned_parts.append(clean_func(to_clean))
+        # Normalize %xx escapes (e.g. %2f -> %2F)
+        cleaned_parts.append(reserved.upper())
+
+    return "".join(cleaned_parts)
+
+
+def _ensure_quoted_url(url: str) -> str:
+    """
+    Make sure a link is fully quoted.
+    For example, if ' ' occurs in the URL, it will be replaced with "%20",
+    and without double-quoting other characters.
+    """
+    # Split the URL into parts according to the general structure
+    # `scheme://netloc/path?query#fragment`.
+    result = urllib.parse.urlsplit(url)
+    # If the netloc is empty, then the URL refers to a local filesystem path.
+    is_local_path = not result.netloc
+    path = _clean_url_path(result.path, is_local_path=is_local_path)
+    # Temporarily replace scheme with file to ensure the URL generated by
+    # urlunsplit() contains an empty netloc (file://) as per RFC 1738.
+    ret = urllib.parse.urlunsplit(result._replace(scheme="file", path=path))
+    ret = result.scheme + ret[4:]  # Restore original scheme.
+    return ret
+
+
+def _absolute_link_url(base_url: str, url: str) -> str:
+    """
+    A faster implementation of urllib.parse.urljoin with a shortcut
+    for absolute http/https URLs.
+    """
+    if url.startswith(("https://", "http://")):
+        return url
+    else:
+        return urllib.parse.urljoin(base_url, url)
+
+
+@functools.total_ordering
+class Link:
+    """Represents a parsed link from a Package Index's simple URL"""
+
+    __slots__ = [
+        "_parsed_url",
+        "_url",
+        "_path",
+        "_hashes",
+        "comes_from",
+        "requires_python",
+        "yanked_reason",
+        "metadata_file_data",
+        "upload_time",
+        "cache_link_parsing",
+        "egg_fragment",
+    ]
+
+    def __init__(
+        self,
+        url: str,
+        comes_from: str | None = None,
+        requires_python: str | None = None,
+        yanked_reason: str | None = None,
+        metadata_file_data: MetadataFile | None = None,
+        upload_time: datetime.datetime | None = None,
+        cache_link_parsing: bool = True,
+        hashes: Mapping[str, str] | None = None,
+    ) -> None:
+        """
+        :param url: url of the resource pointed to (href of the link)
+        :param comes_from: URL or string indicating where the link was found.
+        :param requires_python: String containing the `Requires-Python`
+            metadata field, specified in PEP 345. This may be specified by
+            a data-requires-python attribute in the HTML link tag, as
+            described in PEP 503.
+        :param yanked_reason: the reason the file has been yanked, if the
+            file has been yanked, or None if the file hasn't been yanked.
+            This is the value of the "data-yanked" attribute, if present, in
+            a simple repository HTML link. If the file has been yanked but
+            no reason was provided, this should be the empty string. See
+            PEP 592 for more information and the specification.
+        :param metadata_file_data: the metadata attached to the file, or None if
+            no such metadata is provided. This argument, if not None, indicates
+            that a separate metadata file exists, and also optionally supplies
+            hashes for that file.
+        :param upload_time: upload time of the file, or None if the information
+            is not available from the server.
+        :param cache_link_parsing: A flag that is used elsewhere to determine
+            whether resources retrieved from this link should be cached. PyPI
+            URLs should generally have this set to False, for example.
+        :param hashes: A mapping of hash names to digests to allow us to
+            determine the validity of a download.
+        """
+
+        # The comes_from, requires_python, and metadata_file_data arguments are
+        # only used by classmethods of this class, and are not used in client
+        # code directly.
+
+        # url can be a UNC windows share
+        if url.startswith("\\\\"):
+            url = path_to_url(url)
+
+        self._parsed_url = urllib.parse.urlsplit(url)
+        # Store the url as a private attribute to prevent accidentally
+        # trying to set a new value.
+        self._url = url
+        # The .path property is hot, so calculate its value ahead of time.
+        self._path = urllib.parse.unquote(self._parsed_url.path)
+
+        link_hash = LinkHash.find_hash_url_fragment(url)
+        hashes_from_link = {} if link_hash is None else link_hash.as_dict()
+        if hashes is None:
+            self._hashes = hashes_from_link
+        else:
+            self._hashes = {**hashes, **hashes_from_link}
+
+        self.comes_from = comes_from
+        self.requires_python = requires_python if requires_python else None
+        self.yanked_reason = yanked_reason
+        self.metadata_file_data = metadata_file_data
+        self.upload_time = upload_time
+
+        self.cache_link_parsing = cache_link_parsing
+        self.egg_fragment = self._egg_fragment()
+
+    @classmethod
+    def from_json(
+        cls,
+        file_data: dict[str, Any],
+        page_url: str,
+    ) -> Link | None:
+        """
+        Convert an pypi json document from a simple repository page into a Link.
+        """
+        file_url = file_data.get("url")
+        if file_url is None:
+            return None
+
+        url = _ensure_quoted_url(_absolute_link_url(page_url, file_url))
+        pyrequire = file_data.get("requires-python")
+        yanked_reason = file_data.get("yanked")
+        hashes = file_data.get("hashes", {})
+
+        # PEP 714: Indexes must use the name core-metadata, but
+        # clients should support the old name as a fallback for compatibility.
+        metadata_info = file_data.get("core-metadata")
+        if metadata_info is None:
+            metadata_info = file_data.get("dist-info-metadata")
+
+        if upload_time_data := file_data.get("upload-time"):
+            upload_time = parse_iso_datetime(upload_time_data)
+        else:
+            upload_time = None
+
+        # The metadata info value may be a boolean, or a dict of hashes.
+        if isinstance(metadata_info, dict):
+            # The file exists, and hashes have been supplied
+            metadata_file_data = MetadataFile(supported_hashes(metadata_info))
+        elif metadata_info:
+            # The file exists, but there are no hashes
+            metadata_file_data = MetadataFile(None)
+        else:
+            # False or not present: the file does not exist
+            metadata_file_data = None
+
+        # The Link.yanked_reason expects an empty string instead of a boolean.
+        if yanked_reason and not isinstance(yanked_reason, str):
+            yanked_reason = ""
+        # The Link.yanked_reason expects None instead of False.
+        elif not yanked_reason:
+            yanked_reason = None
+
+        return cls(
+            url,
+            comes_from=page_url,
+            requires_python=pyrequire,
+            yanked_reason=yanked_reason,
+            hashes=hashes,
+            metadata_file_data=metadata_file_data,
+            upload_time=upload_time,
+        )
+
+    @classmethod
+    def from_element(
+        cls,
+        anchor_attribs: dict[str, str | None],
+        page_url: str,
+        base_url: str,
+    ) -> Link | None:
+        """
+        Convert an anchor element's attributes in a simple repository page to a Link.
+        """
+        href = anchor_attribs.get("href")
+        if not href:
+            return None
+
+        url = _ensure_quoted_url(_absolute_link_url(base_url, href))
+        pyrequire = anchor_attribs.get("data-requires-python")
+        yanked_reason = anchor_attribs.get("data-yanked")
+
+        # PEP 714: Indexes must use the name data-core-metadata, but
+        # clients should support the old name as a fallback for compatibility.
+        metadata_info = anchor_attribs.get("data-core-metadata")
+        if metadata_info is None:
+            metadata_info = anchor_attribs.get("data-dist-info-metadata")
+        # The metadata info value may be the string "true", or a string of
+        # the form "hashname=hashval"
+        if metadata_info == "true":
+            # The file exists, but there are no hashes
+            metadata_file_data = MetadataFile(None)
+        elif metadata_info is None:
+            # The file does not exist
+            metadata_file_data = None
+        else:
+            # The file exists, and hashes have been supplied
+            hashname, sep, hashval = metadata_info.partition("=")
+            if sep == "=":
+                metadata_file_data = MetadataFile(supported_hashes({hashname: hashval}))
+            else:
+                # Error - data is wrong. Treat as no hashes supplied.
+                logger.debug(
+                    "Index returned invalid data-dist-info-metadata value: %s",
+                    metadata_info,
+                )
+                metadata_file_data = MetadataFile(None)
+
+        return cls(
+            url,
+            comes_from=page_url,
+            requires_python=pyrequire,
+            yanked_reason=yanked_reason,
+            metadata_file_data=metadata_file_data,
+        )
+
+    def __str__(self) -> str:
+        if self.requires_python:
+            rp = f" (requires-python:{self.requires_python})"
+        else:
+            rp = ""
+        if self.comes_from:
+            return f"{self.redacted_url} (from {self.comes_from}){rp}"
+        else:
+            return self.redacted_url
+
+    def __repr__(self) -> str:
+        return f""
+
+    def __hash__(self) -> int:
+        return hash(self.url)
+
+    def __eq__(self, other: Any) -> bool:
+        if not isinstance(other, Link):
+            return NotImplemented
+        return self.url == other.url
+
+    def __lt__(self, other: Any) -> bool:
+        if not isinstance(other, Link):
+            return NotImplemented
+        return self.url < other.url
+
+    @property
+    def url(self) -> str:
+        return self._url
+
+    @property
+    def redacted_url(self) -> str:
+        return redact_auth_from_url(self.url)
+
+    @property
+    def filename(self) -> PathComponent:
+        name = _to_path_component(posixpath.basename(self.path.rstrip("/")))
+        if name:
+            return name
+
+        # No component in the path; fall back to the netloc, dropping any auth.
+        return _to_path_component(split_auth_from_netloc(self.netloc)[0])
+
+    @property
+    def file_path(self) -> str:
+        return url_to_path(self.url)
+
+    @property
+    def scheme(self) -> str:
+        return self._parsed_url.scheme
+
+    @property
+    def netloc(self) -> str:
+        """
+        This can contain auth information.
+        """
+        return self._parsed_url.netloc
+
+    @property
+    def path(self) -> str:
+        return self._path
+
+    def splitext(self) -> tuple[str, str]:
+        return splitext(posixpath.basename(self.path.rstrip("/")))
+
+    @property
+    def ext(self) -> str:
+        return self.splitext()[1]
+
+    @property
+    def url_without_fragment(self) -> str:
+        scheme, netloc, path, query, fragment = self._parsed_url
+        return urllib.parse.urlunsplit((scheme, netloc, path, query, ""))
+
+    _egg_fragment_re = re.compile(r"[#&]egg=([^&]*)")
+
+    # Per PEP 508.
+    _project_name_re = re.compile(
+        r"^([A-Z0-9]|[A-Z0-9][A-Z0-9._-]*[A-Z0-9])$", re.IGNORECASE
+    )
+
+    def _egg_fragment(self) -> str | None:
+        match = self._egg_fragment_re.search(self._url)
+        if not match:
+            return None
+
+        # An egg fragment looks like a PEP 508 project name, along with
+        # an optional extras specifier. Anything else is invalid.
+        project_name = match.group(1)
+        if not self._project_name_re.match(project_name):
+            raise InvalidEggFragment(self, project_name)
+
+        return project_name
+
+    _subdirectory_fragment_re = re.compile(r"[#&]subdirectory=([^&]*)")
+
+    @property
+    def subdirectory_fragment(self) -> str | None:
+        match = self._subdirectory_fragment_re.search(self._url)
+        if not match:
+            return None
+        return match.group(1)
+
+    def metadata_link(self) -> Link | None:
+        """Return a link to the associated core metadata file (if any)."""
+        if self.metadata_file_data is None:
+            return None
+        metadata_url = f"{self.url_without_fragment}.metadata"
+        if self.metadata_file_data.hashes is None:
+            return Link(metadata_url)
+        return Link(metadata_url, hashes=self.metadata_file_data.hashes)
+
+    def as_hashes(self) -> Hashes:
+        return Hashes({k: [v] for k, v in self._hashes.items()})
+
+    @property
+    def hash(self) -> str | None:
+        return next(iter(self._hashes.values()), None)
+
+    @property
+    def hash_name(self) -> str | None:
+        return next(iter(self._hashes), None)
+
+    @property
+    def show_url(self) -> str:
+        return posixpath.basename(self._url.split("#", 1)[0].split("?", 1)[0])
+
+    @property
+    def is_file(self) -> bool:
+        return self.scheme == "file"
+
+    def is_existing_dir(self) -> bool:
+        return self.is_file and os.path.isdir(self.file_path)
+
+    @property
+    def is_wheel(self) -> bool:
+        return self.ext == WHEEL_EXTENSION
+
+    @property
+    def is_vcs(self) -> bool:
+        from pip._internal.vcs import vcs
+
+        return self.scheme in vcs.all_schemes
+
+    @property
+    def is_yanked(self) -> bool:
+        return self.yanked_reason is not None
+
+    @property
+    def has_hash(self) -> bool:
+        return bool(self._hashes)
+
+    def is_hash_allowed(self, hashes: Hashes | None) -> bool:
+        """
+        Return True if the link has a hash and it is allowed by `hashes`.
+        """
+        if hashes is None:
+            return False
+        return any(hashes.is_hash_allowed(k, v) for k, v in self._hashes.items())
+
+
+class _CleanResult(NamedTuple):
+    """Convert link for equivalency check.
+
+    This is used in the resolver to check whether two URL-specified requirements
+    likely point to the same distribution and can be considered equivalent. This
+    equivalency logic avoids comparing URLs literally, which can be too strict
+    (e.g. "a=1&b=2" vs "b=2&a=1") and produce conflicts unexpecting to users.
+
+    Currently this does three things:
+
+    1. Drop the basic auth part. This is technically wrong since a server can
+       serve different content based on auth, but if it does that, it is even
+       impossible to guarantee two URLs without auth are equivalent, since
+       the user can input different auth information when prompted. So the
+       practical solution is to assume the auth doesn't affect the response.
+    2. Parse the query to avoid the ordering issue. Note that ordering under the
+       same key in the query are NOT cleaned; i.e. "a=1&a=2" and "a=2&a=1" are
+       still considered different.
+    3. Explicitly drop most of the fragment part, except ``subdirectory=`` and
+       hash values, since it should have no impact the downloaded content. Note
+       that this drops the "egg=" part historically used to denote the requested
+       project (and extras), which is wrong in the strictest sense, but too many
+       people are supplying it inconsistently to cause superfluous resolution
+       conflicts, so we choose to also ignore them.
+    """
+
+    parsed: urllib.parse.SplitResult
+    query: dict[str, list[str]]
+    subdirectory: str
+    hashes: dict[str, str]
+
+
+def _clean_link(link: Link) -> _CleanResult:
+    parsed = link._parsed_url
+    netloc = parsed.netloc.rsplit("@", 1)[-1]
+    # According to RFC 8089, an empty host in file: means localhost.
+    if parsed.scheme == "file" and not netloc:
+        netloc = "localhost"
+    fragment = urllib.parse.parse_qs(parsed.fragment)
+    if "egg" in fragment:
+        logger.debug("Ignoring egg= fragment in %s", link)
+    try:
+        # If there are multiple subdirectory values, use the first one.
+        # This matches the behavior of Link.subdirectory_fragment.
+        subdirectory = fragment["subdirectory"][0]
+    except (IndexError, KeyError):
+        subdirectory = ""
+    # If there are multiple hash values under the same algorithm, use the
+    # first one. This matches the behavior of Link.hash_value.
+    hashes = {k: fragment[k][0] for k in _SUPPORTED_HASHES if k in fragment}
+    return _CleanResult(
+        parsed=parsed._replace(netloc=netloc, query="", fragment=""),
+        query=urllib.parse.parse_qs(parsed.query),
+        subdirectory=subdirectory,
+        hashes=hashes,
+    )
+
+
+@functools.cache
+def links_equivalent(link1: Link, link2: Link) -> bool:
+    return _clean_link(link1) == _clean_link(link2)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/release_control.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/release_control.py
new file mode 100644
index 0000000000000000000000000000000000000000..d432fa3e9b432fe93e39cd0006c1e61a19661dc2
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/release_control.py
@@ -0,0 +1,91 @@
+from __future__ import annotations
+
+from dataclasses import dataclass, field
+
+from pip._vendor.packaging.utils import NormalizedName, canonicalize_name
+
+from pip._internal.exceptions import CommandError
+
+
+@dataclass(slots=True)
+class ReleaseControl:
+    """Helper for managing which release types can be installed."""
+
+    all_releases: set[str] = field(default_factory=set)
+    only_final: set[str] = field(default_factory=set)
+    _order: list[tuple[str, str]] = field(
+        init=False, default_factory=list, compare=False, repr=False
+    )
+
+    def handle_mutual_excludes(
+        self, value: str, target: set[str], other: set[str], attr_name: str
+    ) -> None:
+        """Parse and apply release control option value.
+
+        Processes comma-separated package names or special values `:all:` and `:none:`.
+
+        When adding packages to target, they're removed from other to maintain mutual
+        exclusivity between all_releases and only_final. All operations are tracked in
+        order so that the original command-line argument sequence can be reconstructed
+        when passing options to build subprocesses.
+        """
+        if value.startswith("-"):
+            raise CommandError(
+                "--all-releases / --only-final option requires 1 argument."
+            )
+        new = value.split(",")
+        while ":all:" in new:
+            other.clear()
+            target.clear()
+            target.add(":all:")
+            # Track :all: in order
+            self._order.append((attr_name, ":all:"))
+            del new[: new.index(":all:") + 1]
+            # Without a none, we want to discard everything as :all: covers it
+            if ":none:" not in new:
+                return
+        for name in new:
+            if name == ":none:":
+                target.clear()
+                # Track :none: in order
+                self._order.append((attr_name, ":none:"))
+                continue
+            name = canonicalize_name(name)
+            other.discard(name)
+            target.add(name)
+            # Track package-specific setting in order
+            self._order.append((attr_name, name))
+
+    def get_ordered_args(self) -> list[tuple[str, str]]:
+        """
+        Get ordered list of (flag_name, value) tuples for reconstructing CLI args.
+
+        Returns:
+            List of tuples where each tuple is (attribute_name, value).
+            The attribute_name is either 'all_releases' or 'only_final'.
+
+        Example:
+            [("all_releases", ":all:"), ("only_final", "simple")]
+            would be reconstructed as:
+            ["--all-releases", ":all:", "--only-final", "simple"]
+        """
+        return self._order[:]
+
+    def allows_prereleases(self, canonical_name: NormalizedName) -> bool | None:
+        """
+        Determine if pre-releases are allowed for a package.
+
+        Returns:
+            True: Pre-releases are allowed (package in all_releases)
+            False: Only final releases allowed (package in only_final)
+            None: No specific setting, use default behavior
+        """
+        if canonical_name in self.all_releases:
+            return True
+        elif canonical_name in self.only_final:
+            return False
+        elif ":all:" in self.all_releases:
+            return True
+        elif ":all:" in self.only_final:
+            return False
+        return None
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/scheme.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/scheme.py
new file mode 100644
index 0000000000000000000000000000000000000000..5ed705717c26cb942df0db821a33481d1fae8e40
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/scheme.py
@@ -0,0 +1,23 @@
+"""
+For types associated with installation schemes.
+
+For a general overview of available schemes and their context, see
+https://docs.python.org/3/install/index.html#alternate-installation.
+"""
+
+from dataclasses import dataclass
+
+SCHEME_KEYS = ["platlib", "purelib", "headers", "scripts", "data"]
+
+
+@dataclass(frozen=True, slots=True)
+class Scheme:
+    """A Scheme holds paths which are used as the base directories for
+    artifacts associated with a Python package.
+    """
+
+    platlib: str
+    purelib: str
+    headers: str
+    scripts: str
+    data: str
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/search_scope.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/search_scope.py
new file mode 100644
index 0000000000000000000000000000000000000000..b3aaa18e616c3e76441729885aaf9eca3bacf8c5
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/search_scope.py
@@ -0,0 +1,124 @@
+import itertools
+import logging
+import os
+import posixpath
+import urllib.parse
+from dataclasses import dataclass
+
+from pip._vendor.packaging.utils import canonicalize_name
+
+from pip._internal.models.index import PyPI
+from pip._internal.utils.compat import has_tls
+from pip._internal.utils.misc import normalize_path, redact_auth_from_url
+
+logger = logging.getLogger(__name__)
+
+
+@dataclass(frozen=True, slots=True)
+class SearchScope:
+    """
+    Encapsulates the locations that pip is configured to search.
+    """
+
+    find_links: list[str]
+    index_urls: list[str]
+    no_index: bool
+
+    @classmethod
+    def create(
+        cls,
+        find_links: list[str],
+        index_urls: list[str],
+        no_index: bool,
+    ) -> "SearchScope":
+        """
+        Create a SearchScope object after normalizing the `find_links`.
+        """
+        # Build find_links. If an argument starts with ~, it may be
+        # a local file relative to a home directory. So try normalizing
+        # it and if it exists, use the normalized version.
+        # This is deliberately conservative - it might be fine just to
+        # blindly normalize anything starting with a ~...
+        built_find_links: list[str] = []
+        for link in find_links:
+            if link.startswith("~"):
+                new_link = normalize_path(link)
+                if os.path.exists(new_link):
+                    link = new_link
+            built_find_links.append(link)
+
+        # If we don't have TLS enabled, then WARN if anyplace we're looking
+        # relies on TLS.
+        if not has_tls():
+            for link in itertools.chain(index_urls, built_find_links):
+                parsed = urllib.parse.urlparse(link)
+                if parsed.scheme == "https":
+                    logger.warning(
+                        "pip is configured with locations that require "
+                        "TLS/SSL, however the ssl module in Python is not "
+                        "available."
+                    )
+                    break
+
+        return cls(
+            find_links=built_find_links,
+            index_urls=index_urls,
+            no_index=no_index,
+        )
+
+    def get_formatted_locations(self) -> str:
+        lines = []
+        redacted_index_urls = []
+        if self.index_urls and self.index_urls != [PyPI.simple_url]:
+            for url in self.index_urls:
+                redacted_index_url = redact_auth_from_url(url)
+
+                # Parse the URL
+                purl = urllib.parse.urlsplit(redacted_index_url)
+
+                # URL is generally invalid if scheme and netloc is missing
+                # there are issues with Python and URL parsing, so this test
+                # is a bit crude. See bpo-20271, bpo-23505. Python doesn't
+                # always parse invalid URLs correctly - it should raise
+                # exceptions for malformed URLs
+                if not purl.scheme and not purl.netloc:
+                    logger.warning(
+                        'The index url "%s" seems invalid, please provide a scheme.',
+                        redacted_index_url,
+                    )
+
+                redacted_index_urls.append(redacted_index_url)
+
+            lines.append(
+                "Looking in indexes: {}".format(", ".join(redacted_index_urls))
+            )
+
+        if self.find_links:
+            lines.append(
+                "Looking in links: {}".format(
+                    ", ".join(redact_auth_from_url(url) for url in self.find_links)
+                )
+            )
+        return "\n".join(lines)
+
+    def get_index_urls_locations(self, project_name: str) -> list[str]:
+        """Returns the locations found via self.index_urls
+
+        Checks the url_name on the main (first in the list) index and
+        use this url_name to produce all locations
+        """
+
+        def mkurl_pypi_url(url: str) -> str:
+            loc = posixpath.join(
+                url, urllib.parse.quote(canonicalize_name(project_name))
+            )
+            # For maximum compatibility with easy_install, ensure the path
+            # ends in a trailing slash.  Although this isn't in the spec
+            # (and PyPI can handle it without the slash) some other index
+            # implementations might break if they relied on easy_install's
+            # behavior.
+            if not loc.endswith("/"):
+                loc = loc + "/"
+            return loc
+
+        return [mkurl_pypi_url(url) for url in self.index_urls]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/selection_prefs.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/selection_prefs.py
new file mode 100644
index 0000000000000000000000000000000000000000..3473031926fa8dd95d789874392d22871be07337
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/selection_prefs.py
@@ -0,0 +1,36 @@
+from __future__ import annotations
+
+from dataclasses import dataclass
+
+from pip._internal.models.format_control import FormatControl
+from pip._internal.models.release_control import ReleaseControl
+
+
+@dataclass(slots=True)
+class SelectionPreferences:
+    """
+    Encapsulates the candidate selection preferences for downloading
+    and installing files.
+
+    :param allow_yanked: Whether files marked as yanked (in the sense
+        of PEP 592) are permitted to be candidates for install.
+    :param release_control: A ReleaseControl object or None. Used to control
+        whether pre-releases are allowed for specific packages.
+    :param format_control: A FormatControl object or None. Used to control
+        the selection of source packages / binary packages when consulting
+        the index and links.
+    :param prefer_binary: Whether to prefer an old, but valid, binary
+        dist over a new source dist.
+    :param ignore_requires_python: Whether to ignore incompatible
+        "Requires-Python" values in links. Defaults to False.
+    """
+
+    # Don't include an allow_yanked default value to make sure each call
+    # site considers whether yanked releases are allowed. This also causes
+    # that decision to be made explicit in the calling code, which helps
+    # people when reading the code.
+    allow_yanked: bool
+    release_control: ReleaseControl | None = None
+    format_control: FormatControl | None = None
+    prefer_binary: bool = False
+    ignore_requires_python: bool = False
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/target_python.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/target_python.py
new file mode 100644
index 0000000000000000000000000000000000000000..8c38392d8bbf21b2102123b87d67df86b94ddc5f
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/target_python.py
@@ -0,0 +1,122 @@
+from __future__ import annotations
+
+import sys
+
+from pip._vendor.packaging.tags import Tag
+
+from pip._internal.utils.compatibility_tags import get_supported, version_info_to_nodot
+from pip._internal.utils.misc import normalize_version_info
+
+
+class TargetPython:
+    """
+    Encapsulates the properties of a Python interpreter one is targeting
+    for a package install, download, etc.
+    """
+
+    __slots__ = [
+        "_given_py_version_info",
+        "abis",
+        "implementation",
+        "platforms",
+        "py_version",
+        "py_version_info",
+        "_valid_tags",
+        "_valid_tags_set",
+    ]
+
+    def __init__(
+        self,
+        platforms: list[str] | None = None,
+        py_version_info: tuple[int, ...] | None = None,
+        abis: list[str] | None = None,
+        implementation: str | None = None,
+    ) -> None:
+        """
+        :param platforms: A list of strings or None. If None, searches for
+            packages that are supported by the current system. Otherwise, will
+            find packages that can be built on the platforms passed in. These
+            packages will only be downloaded for distribution: they will
+            not be built locally.
+        :param py_version_info: An optional tuple of ints representing the
+            Python version information to use (e.g. `sys.version_info[:3]`).
+            This can have length 1, 2, or 3 when provided.
+        :param abis: A list of strings or None. This is passed to
+            compatibility_tags.py's get_supported() function as is.
+        :param implementation: A string or None. This is passed to
+            compatibility_tags.py's get_supported() function as is.
+        """
+        # Store the given py_version_info for when we call get_supported().
+        self._given_py_version_info = py_version_info
+
+        if py_version_info is None:
+            py_version_info = sys.version_info[:3]
+        else:
+            py_version_info = normalize_version_info(py_version_info)
+
+        py_version = ".".join(map(str, py_version_info[:2]))
+
+        self.abis = abis
+        self.implementation = implementation
+        self.platforms = platforms
+        self.py_version = py_version
+        self.py_version_info = py_version_info
+
+        # This is used to cache the return value of get_(un)sorted_tags.
+        self._valid_tags: list[Tag] | None = None
+        self._valid_tags_set: set[Tag] | None = None
+
+    def format_given(self) -> str:
+        """
+        Format the given, non-None attributes for display.
+        """
+        display_version = None
+        if self._given_py_version_info is not None:
+            display_version = ".".join(
+                str(part) for part in self._given_py_version_info
+            )
+
+        key_values = [
+            ("platforms", self.platforms),
+            ("version_info", display_version),
+            ("abis", self.abis),
+            ("implementation", self.implementation),
+        ]
+        return " ".join(
+            f"{key}={value!r}" for key, value in key_values if value is not None
+        )
+
+    def get_sorted_tags(self) -> list[Tag]:
+        """
+        Return the supported PEP 425 tags to check wheel candidates against.
+
+        The tags are returned in order of preference (most preferred first).
+        """
+        if self._valid_tags is None:
+            # Pass versions=None if no py_version_info was given since
+            # versions=None uses special default logic.
+            py_version_info = self._given_py_version_info
+            if py_version_info is None:
+                version = None
+            else:
+                version = version_info_to_nodot(py_version_info)
+
+            tags = get_supported(
+                version=version,
+                platforms=self.platforms,
+                abis=self.abis,
+                impl=self.implementation,
+            )
+            self._valid_tags = tags
+
+        return self._valid_tags
+
+    def get_unsorted_tags(self) -> set[Tag]:
+        """Exactly the same as get_sorted_tags, but returns a set.
+
+        This is important for performance.
+        """
+        if self._valid_tags_set is None:
+            self._valid_tags_set = set(self.get_sorted_tags())
+
+        return self._valid_tags_set
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/wheel.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/wheel.py
new file mode 100644
index 0000000000000000000000000000000000000000..fbd4902dc715f8b3753894a9703450d1b1089c18
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/models/wheel.py
@@ -0,0 +1,80 @@
+"""Represents a wheel file and provides access to the various parts of the
+name that have meaning.
+"""
+
+from __future__ import annotations
+
+from collections.abc import Iterable
+
+from pip._vendor.packaging.tags import Tag
+from pip._vendor.packaging.utils import (
+    InvalidWheelFilename as _PackagingInvalidWheelFilename,
+)
+from pip._vendor.packaging.utils import parse_wheel_filename
+
+from pip._internal.exceptions import InvalidWheelFilename
+
+
+class Wheel:
+    """A wheel file"""
+
+    def __init__(self, filename: str) -> None:
+        self.filename = filename
+
+        try:
+            wheel_info = parse_wheel_filename(filename)
+        except _PackagingInvalidWheelFilename as e:
+            raise InvalidWheelFilename(e.args[0]) from None
+
+        self.name, _version, self.build_tag, self.file_tags = wheel_info
+        self.version = str(_version)
+
+    def get_formatted_file_tags(self) -> list[str]:
+        """Return the wheel's tags as a sorted list of strings."""
+        return sorted(str(tag) for tag in self.file_tags)
+
+    def support_index_min(self, tags: list[Tag]) -> int:
+        """Return the lowest index that one of the wheel's file_tag combinations
+        achieves in the given list of supported tags.
+
+        For example, if there are 8 supported tags and one of the file tags
+        is first in the list, then return 0.
+
+        :param tags: the PEP 425 tags to check the wheel against, in order
+            with most preferred first.
+
+        :raises ValueError: If none of the wheel's file tags match one of
+            the supported tags.
+        """
+        try:
+            return next(i for i, t in enumerate(tags) if t in self.file_tags)
+        except StopIteration:
+            raise ValueError()
+
+    def find_most_preferred_tag(
+        self, tags: list[Tag], tag_to_priority: dict[Tag, int]
+    ) -> int:
+        """Return the priority of the most preferred tag that one of the wheel's file
+        tag combinations achieves in the given list of supported tags using the given
+        tag_to_priority mapping, where lower priorities are more-preferred.
+
+        This is used in place of support_index_min in some cases in order to avoid
+        an expensive linear scan of a large list of tags.
+
+        :param tags: the PEP 425 tags to check the wheel against.
+        :param tag_to_priority: a mapping from tag to priority of that tag, where
+            lower is more preferred.
+
+        :raises ValueError: If none of the wheel's file tags match one of
+            the supported tags.
+        """
+        return min(
+            tag_to_priority[tag] for tag in self.file_tags if tag in tag_to_priority
+        )
+
+    def supported(self, tags: Iterable[Tag]) -> bool:
+        """Return whether the wheel is compatible with one of the given tags.
+
+        :param tags: the PEP 425 tags to check the wheel against.
+        """
+        return not self.file_tags.isdisjoint(tags)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..0ae1f5626bca4f0a8cc6532b0d20b2e43039b1c6
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/__init__.py
@@ -0,0 +1 @@
+"""Contains purely network-related utilities."""
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/auth.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/auth.py
new file mode 100644
index 0000000000000000000000000000000000000000..99b929a9f1780e0b0c725a42355679a191478276
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/auth.py
@@ -0,0 +1,587 @@
+"""Network Authentication Helpers
+
+Contains interface (MultiDomainBasicAuth) and associated glue code for
+providing credentials in the context of network requests.
+"""
+
+from __future__ import annotations
+
+import json
+import logging
+import os
+import shutil
+import subprocess
+import sysconfig
+import typing
+import urllib.parse
+from abc import ABC, abstractmethod
+from functools import cache
+from os.path import commonpath
+from pathlib import Path
+from typing import Any, NamedTuple
+
+from pip._vendor.requests.auth import AuthBase, HTTPBasicAuth
+from pip._vendor.requests.utils import get_netrc_auth
+
+from pip._internal.utils.logging import getLogger
+from pip._internal.utils.misc import (
+    ask,
+    ask_input,
+    ask_password,
+    remove_auth_from_url,
+    split_auth_netloc_from_url,
+)
+from pip._internal.vcs.versioncontrol import AuthInfo
+
+if typing.TYPE_CHECKING:
+    from pip._vendor.requests import PreparedRequest
+    from pip._vendor.requests.models import Response
+
+logger = getLogger(__name__)
+
+KEYRING_DISABLED = False
+
+
+class Credentials(NamedTuple):
+    url: str
+    username: str
+    password: str
+
+
+class KeyRingBaseProvider(ABC):
+    """Keyring base provider interface"""
+
+    has_keyring: bool
+
+    @abstractmethod
+    def get_auth_info(self, url: str, username: str | None) -> AuthInfo | None: ...
+
+    @abstractmethod
+    def save_auth_info(self, url: str, username: str, password: str) -> None: ...
+
+
+class KeyRingNullProvider(KeyRingBaseProvider):
+    """Keyring null provider"""
+
+    has_keyring = False
+
+    def get_auth_info(self, url: str, username: str | None) -> AuthInfo | None:
+        return None
+
+    def save_auth_info(self, url: str, username: str, password: str) -> None:
+        return None
+
+
+class KeyRingPythonProvider(KeyRingBaseProvider):
+    """Keyring interface which uses locally imported `keyring`"""
+
+    has_keyring = True
+
+    def __init__(self) -> None:
+        import keyring
+
+        self.keyring = keyring
+
+    def get_auth_info(self, url: str, username: str | None) -> AuthInfo | None:
+        # Support keyring's get_credential interface which supports getting
+        # credentials without a username. This is only available for
+        # keyring>=15.2.0.
+        if hasattr(self.keyring, "get_credential"):
+            logger.debug("Getting credentials from keyring for %s", url)
+            cred = self.keyring.get_credential(url, username)
+            if cred is not None:
+                return cred.username, cred.password
+            return None
+
+        if username is not None:
+            logger.debug("Getting password from keyring for %s", url)
+            password = self.keyring.get_password(url, username)
+            if password:
+                return username, password
+        return None
+
+    def save_auth_info(self, url: str, username: str, password: str) -> None:
+        self.keyring.set_password(url, username, password)
+
+
+class KeyRingCliProvider(KeyRingBaseProvider):
+    """Provider which uses `keyring` cli
+
+    Instead of calling the keyring package installed alongside pip
+    we call keyring on the command line which will enable pip to
+    use which ever installation of keyring is available first in
+    PATH.
+    """
+
+    has_keyring = True
+
+    def __init__(self, cmd: str) -> None:
+        self.keyring = cmd
+
+    def get_auth_info(self, url: str, username: str | None) -> AuthInfo | None:
+        return self._get_creds(url, username)
+
+    def save_auth_info(self, url: str, username: str, password: str) -> None:
+        return self._set_password(url, username, password)
+
+    def _get_creds(self, service_name: str, username: str | None) -> AuthInfo | None:
+        """Mirror the implementation of keyring.get_credential using cli"""
+        if self.keyring is None:
+            return None
+
+        cmd = [self.keyring, "--mode=creds", "--output=json", "get", service_name]
+        if username is not None:
+            cmd.append(username)
+
+        env = os.environ.copy()
+        env["PYTHONIOENCODING"] = "utf-8"
+        res = subprocess.run(  # noqa: UP022
+            cmd,
+            stdin=subprocess.DEVNULL,
+            stdout=subprocess.PIPE,
+            stderr=subprocess.PIPE,
+            env=env,
+        )
+
+        # Detect if the user is running an outdated version of keyring without support
+        # for querying credentials without username
+        errs = res.stderr.decode("utf-8")
+        if (
+            res.returncode == 2
+            and "unrecognized arguments" in errs
+            and "--mode=creds" in errs
+        ):
+            raise RuntimeError(
+                "Keyring util is outdated; must be at least version 25.2.1, "
+                "please upgrade it"
+            )
+
+        if res.returncode:
+            return None
+
+        data = json.loads(res.stdout.decode("utf-8"))
+        return (data["username"], data["password"])
+
+    def _set_password(self, service_name: str, username: str, password: str) -> None:
+        """Mirror the implementation of keyring.set_password using cli"""
+        if self.keyring is None:
+            return None
+        env = os.environ.copy()
+        env["PYTHONIOENCODING"] = "utf-8"
+        subprocess.run(
+            [self.keyring, "set", service_name, username],
+            input=f"{password}{os.linesep}".encode(),
+            env=env,
+            check=True,
+        )
+        return None
+
+
+@cache
+def get_keyring_provider(provider: str) -> KeyRingBaseProvider:
+    logger.verbose("Keyring provider requested: %s", provider)
+
+    # keyring has previously failed and been disabled
+    if KEYRING_DISABLED:
+        provider = "disabled"
+    if provider in ["import", "auto"]:
+        try:
+            impl = KeyRingPythonProvider()
+            logger.verbose("Keyring provider set: import")
+            return impl
+        except ImportError:
+            pass
+        except Exception as exc:
+            # In the event of an unexpected exception
+            # we should warn the user
+            msg = "Installed copy of keyring fails with exception %s"
+            if provider == "auto":
+                msg = msg + ", trying to find a keyring executable as a fallback"
+            logger.warning(msg, exc, exc_info=logger.isEnabledFor(logging.DEBUG))
+    if provider in ["subprocess", "auto"]:
+        cli = shutil.which("keyring")
+        if cli and cli.startswith(sysconfig.get_path("scripts")):
+            # all code within this function is stolen from shutil.which implementation
+            @typing.no_type_check
+            def PATH_as_shutil_which_determines_it() -> str:
+                path = os.environ.get("PATH", None)
+                if path is None:
+                    try:
+                        path = os.confstr("CS_PATH")
+                    except (AttributeError, ValueError):
+                        # os.confstr() or CS_PATH is not available
+                        path = os.defpath
+                # bpo-35755: Don't use os.defpath if the PATH environment variable is
+                # set to an empty string
+
+                return path
+
+            scripts = Path(sysconfig.get_path("scripts"))
+
+            paths = []
+            for path in PATH_as_shutil_which_determines_it().split(os.pathsep):
+                p = Path(path)
+                try:
+                    if not p.samefile(scripts):
+                        paths.append(path)
+                except FileNotFoundError:
+                    pass
+
+            path = os.pathsep.join(paths)
+
+            cli = shutil.which("keyring", path=path)
+
+        if cli:
+            logger.verbose("Keyring provider set: subprocess with executable %s", cli)
+            return KeyRingCliProvider(cli)
+
+    logger.verbose("Keyring provider set: disabled")
+    return KeyRingNullProvider()
+
+
+class MultiDomainBasicAuth(AuthBase):
+    def __init__(
+        self,
+        prompting: bool = True,
+        index_urls: list[str] | None = None,
+        keyring_provider: str = "auto",
+    ) -> None:
+        self.prompting = prompting
+        self.index_urls = index_urls
+        self.keyring_provider = keyring_provider
+        self.passwords: dict[str, AuthInfo] = {}
+        # When the user is prompted to enter credentials and keyring is
+        # available, we will offer to save them. If the user accepts,
+        # this value is set to the credentials they entered. After the
+        # request authenticates, the caller should call
+        # ``save_credentials`` to save these.
+        self._credentials_to_save: Credentials | None = None
+
+    @property
+    def keyring_provider(self) -> KeyRingBaseProvider:
+        return get_keyring_provider(self._keyring_provider)
+
+    @keyring_provider.setter
+    def keyring_provider(self, provider: str) -> None:
+        # The free function get_keyring_provider has been decorated with
+        # functools.cache. If an exception occurs in get_keyring_auth that
+        # cache will be cleared and keyring disabled, take that into account
+        # if you want to remove this indirection.
+        self._keyring_provider = provider
+
+    @property
+    def use_keyring(self) -> bool:
+        # We won't use keyring when --no-input is passed unless
+        # a specific provider is requested because it might require
+        # user interaction
+        return self.prompting or self._keyring_provider not in ["auto", "disabled"]
+
+    def _get_keyring_auth(
+        self,
+        url: str | None,
+        username: str | None,
+    ) -> AuthInfo | None:
+        """Return the tuple auth for a given url from keyring."""
+        # Do nothing if no url was provided
+        if not url:
+            return None
+
+        try:
+            return self.keyring_provider.get_auth_info(url, username)
+        except Exception as exc:
+            # Log the full exception (with stacktrace) at debug, so it'll only
+            # show up when running in verbose mode.
+            logger.debug("Keyring is skipped due to an exception", exc_info=True)
+            # Always log a shortened version of the exception.
+            logger.warning(
+                "Keyring is skipped due to an exception: %s",
+                str(exc),
+            )
+            global KEYRING_DISABLED
+            KEYRING_DISABLED = True
+            get_keyring_provider.cache_clear()
+            return None
+
+    def _get_index_url(self, url: str) -> str | None:
+        """Return the original index URL matching the requested URL.
+
+        Cached or dynamically generated credentials may work against
+        the original index URL rather than just the netloc.
+
+        The provided url should have had its username and password
+        removed already. If the original index url had credentials then
+        they will be included in the return value.
+
+        Returns None if no matching index was found, or if --no-index
+        was specified by the user.
+        """
+        if not url or not self.index_urls:
+            return None
+
+        url = remove_auth_from_url(url).rstrip("/") + "/"
+        parsed_url = urllib.parse.urlsplit(url)
+
+        candidates = []
+
+        for index in self.index_urls:
+            index = index.rstrip("/") + "/"
+            parsed_index = urllib.parse.urlsplit(remove_auth_from_url(index))
+            if parsed_url == parsed_index:
+                return index
+
+            if parsed_url.netloc != parsed_index.netloc:
+                continue
+
+            candidate = urllib.parse.urlsplit(index)
+            candidates.append(candidate)
+
+        if not candidates:
+            return None
+
+        candidates.sort(
+            reverse=True,
+            key=lambda candidate: len(
+                commonpath(
+                    [
+                        parsed_url.path,
+                        candidate.path,
+                    ]
+                )
+            ),
+        )
+
+        return urllib.parse.urlunsplit(candidates[0])
+
+    def _get_new_credentials(
+        self,
+        original_url: str,
+        *,
+        allow_netrc: bool = True,
+        allow_keyring: bool = False,
+    ) -> AuthInfo:
+        """Find and return credentials for the specified URL."""
+        # Split the credentials and netloc from the url.
+        url, netloc, url_user_password = split_auth_netloc_from_url(
+            original_url,
+        )
+
+        # Start with the credentials embedded in the url
+        username, password = url_user_password
+        if username is not None and password is not None:
+            logger.debug("Found credentials in url for %s", netloc)
+            return url_user_password
+
+        # Find a matching index url for this request
+        index_url = self._get_index_url(url)
+        if index_url:
+            # Split the credentials from the url.
+            index_info = split_auth_netloc_from_url(index_url)
+            if index_info:
+                index_url, _, index_url_user_password = index_info
+                logger.debug("Found index url %s", index_url)
+
+        # If an index URL was found, try its embedded credentials
+        if index_url and index_url_user_password[0] is not None:
+            username, password = index_url_user_password
+            if username is not None and password is not None:
+                logger.debug("Found credentials in index url for %s", netloc)
+                return index_url_user_password
+
+        # Get creds from netrc if we still don't have them
+        if allow_netrc:
+            netrc_auth = get_netrc_auth(original_url)
+            if netrc_auth:
+                logger.debug("Found credentials in netrc for %s", netloc)
+                return netrc_auth
+
+        # If we don't have a password and keyring is available, use it.
+        if allow_keyring:
+            # The index url is more specific than the netloc, so try it first
+            # fmt: off
+            kr_auth = (
+                self._get_keyring_auth(index_url, username) or
+                self._get_keyring_auth(netloc, username)
+            )
+            # fmt: on
+            if kr_auth:
+                logger.debug("Found credentials in keyring for %s", netloc)
+                return kr_auth
+
+        return username, password
+
+    def _get_url_and_credentials(
+        self, original_url: str
+    ) -> tuple[str, str | None, str | None]:
+        """Return the credentials to use for the provided URL.
+
+        If allowed, netrc and keyring may be used to obtain the
+        correct credentials.
+
+        Returns (url_without_credentials, username, password). Note
+        that even if the original URL contains credentials, this
+        function may return a different username and password.
+        """
+        url, netloc, _ = split_auth_netloc_from_url(original_url)
+
+        # Try to get credentials from original url
+        username, password = self._get_new_credentials(original_url)
+
+        # If credentials not found, use any stored credentials for this netloc.
+        # Do this if either the username or the password is missing.
+        # This accounts for the situation in which the user has specified
+        # the username in the index url, but the password comes from keyring.
+        if (username is None or password is None) and netloc in self.passwords:
+            un, pw = self.passwords[netloc]
+            # It is possible that the cached credentials are for a different username,
+            # in which case the cache should be ignored.
+            if username is None or username == un:
+                username, password = un, pw
+
+        if username is not None or password is not None:
+            # Convert the username and password if they're None, so that
+            # this netloc will show up as "cached" in the conditional above.
+            # Further, HTTPBasicAuth doesn't accept None, so it makes sense to
+            # cache the value that is going to be used.
+            username = username or ""
+            password = password or ""
+
+            # Store any acquired credentials.
+            self.passwords[netloc] = (username, password)
+
+        assert (
+            # Credentials were found
+            (username is not None and password is not None)
+            # Credentials were not found
+            or (username is None and password is None)
+        ), f"Could not load credentials from url: {original_url}"
+
+        return url, username, password
+
+    def __call__(self, req: PreparedRequest) -> PreparedRequest:
+        # Get credentials for this request
+        assert req.url is not None
+        url, username, password = self._get_url_and_credentials(req.url)
+
+        # Set the url of the request to the url without any credentials
+        req.url = url
+
+        if username is not None and password is not None:
+            # Send the basic auth with this request
+            req = HTTPBasicAuth(username, password)(req)
+
+        # Attach a hook to handle 401 responses
+        req.register_hook("response", self.handle_401)
+
+        return req
+
+    # Factored out to allow for easy patching in tests
+    def _prompt_for_password(self, netloc: str) -> tuple[str | None, str | None, bool]:
+        username = ask_input(f"User for {netloc}: ") if self.prompting else None
+        if not username:
+            return None, None, False
+        if self.use_keyring:
+            auth = self._get_keyring_auth(netloc, username)
+            if auth and auth[0] is not None and auth[1] is not None:
+                return auth[0], auth[1], False
+        password = ask_password("Password: ")
+        return username, password, True
+
+    # Factored out to allow for easy patching in tests
+    def _should_save_password_to_keyring(self) -> bool:
+        if (
+            not self.prompting
+            or not self.use_keyring
+            or not self.keyring_provider.has_keyring
+        ):
+            return False
+        return ask("Save credentials to keyring [y/N]: ", ["y", "n"]) == "y"
+
+    def handle_401(self, resp: Response, **kwargs: Any) -> Response:
+        # We only care about 401 responses, anything else we want to just
+        #   pass through the actual response
+        if resp.status_code != 401:
+            return resp
+
+        # Look for credentials for the (possibly redirected) URL. Credentials
+        # embedded in the URL -- e.g. carried in the ``Location`` of a
+        # cross-origin redirect, whose ``Authorization`` header requests strips
+        # -- are always honoured, since recovering them needs no user
+        # interaction. Keyring is only consulted when it is enabled, because it
+        # may require interaction and is therefore disabled under --no-input.
+        username, password = self._get_new_credentials(
+            resp.url,
+            allow_netrc=False,
+            allow_keyring=self.use_keyring,
+        )
+
+        # We are not able to prompt the user so simply return the response
+        if not self.prompting and not username and not password:
+            return resp
+
+        parsed = urllib.parse.urlparse(resp.url)
+
+        # Prompt the user for a new username and password
+        save = False
+        if not username and not password:
+            username, password, save = self._prompt_for_password(parsed.netloc)
+
+        # Store the new username and password to use for future requests
+        self._credentials_to_save = None
+        if username is not None and password is not None:
+            self.passwords[parsed.netloc] = (username, password)
+
+            # Prompt to save the password to keyring
+            if save and self._should_save_password_to_keyring():
+                self._credentials_to_save = Credentials(
+                    url=parsed.netloc,
+                    username=username,
+                    password=password,
+                )
+
+        # Consume content and release the original connection to allow our new
+        #   request to reuse the same one.
+        # The result of the assignment isn't used, it's just needed to consume
+        # the content.
+        _ = resp.content
+        resp.raw.release_conn()
+
+        # Add our new username and password to the request
+        req = HTTPBasicAuth(username or "", password or "")(resp.request)
+        req.register_hook("response", self.warn_on_401)
+
+        # On successful request, save the credentials that were used to
+        # keyring. (Note that if the user responded "no" above, this member
+        # is not set and nothing will be saved.)
+        if self._credentials_to_save:
+            req.register_hook("response", self.save_credentials)
+
+        # Send our new request
+        new_resp = resp.connection.send(req, **kwargs)
+        new_resp.history.append(resp)
+
+        return new_resp
+
+    def warn_on_401(self, resp: Response, **kwargs: Any) -> None:
+        """Response callback to warn about incorrect credentials."""
+        if resp.status_code == 401:
+            logger.warning(
+                "401 Error, Credentials not correct for %s",
+                resp.request.url,
+            )
+
+    def save_credentials(self, resp: Response, **kwargs: Any) -> None:
+        """Response callback to save credentials on success."""
+        assert (
+            self.keyring_provider.has_keyring
+        ), "should never reach here without keyring"
+
+        creds = self._credentials_to_save
+        self._credentials_to_save = None
+        if creds and resp.status_code < 400:
+            try:
+                logger.info("Saving credentials to keyring")
+                self.keyring_provider.save_auth_info(
+                    creds.url, creds.username, creds.password
+                )
+            except Exception:
+                logger.exception("Failed to save credentials")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/cache.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/cache.py
new file mode 100644
index 0000000000000000000000000000000000000000..bff9707a0c95cb351d104696f3c40d53a7234fa5
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/cache.py
@@ -0,0 +1,128 @@
+"""HTTP cache implementation."""
+
+from __future__ import annotations
+
+import os
+import shutil
+from collections.abc import Callable, Generator
+from contextlib import contextmanager
+from datetime import datetime
+from typing import Any, BinaryIO
+
+from pip._vendor.cachecontrol.cache import SeparateBodyBaseCache
+from pip._vendor.cachecontrol.caches import SeparateBodyFileCache
+from pip._vendor.requests.models import Response
+
+from pip._internal.utils.filesystem import (
+    adjacent_tmp_file,
+    copy_directory_permissions,
+    replace,
+)
+from pip._internal.utils.misc import ensure_dir
+
+
+def is_from_cache(response: Response) -> bool:
+    return getattr(response, "from_cache", False)
+
+
+@contextmanager
+def suppressed_cache_errors() -> Generator[None, None, None]:
+    """If we can't access the cache then we can just skip caching and process
+    requests as if caching wasn't enabled.
+    """
+    try:
+        yield
+    except OSError:
+        pass
+
+
+class SafeFileCache(SeparateBodyBaseCache):
+    """
+    A file based cache which is safe to use even when the target directory may
+    not be accessible or writable.
+
+    There is a race condition when two processes try to write and/or read the
+    same entry at the same time, since each entry consists of two separate
+    files (https://github.com/psf/cachecontrol/issues/324).  We therefore have
+    additional logic that makes sure that both files to be present before
+    returning an entry; this fixes the read side of the race condition.
+
+    For the write side, we assume that the server will only ever return the
+    same data for the same URL, which ought to be the case for files pip is
+    downloading.  PyPI does not have a mechanism to swap out a wheel for
+    another wheel, for example.  If this assumption is not true, the
+    CacheControl issue will need to be fixed.
+    """
+
+    def __init__(self, directory: str) -> None:
+        assert directory is not None, "Cache directory must not be None."
+        super().__init__()
+        self.directory = directory
+
+    def _get_cache_path(self, name: str) -> str:
+        # From cachecontrol.caches.file_cache.FileCache._fn, brought into our
+        # class for backwards-compatibility and to avoid using a non-public
+        # method.
+        hashed = SeparateBodyFileCache.encode(name)
+        parts = list(hashed[:5]) + [hashed]
+        return os.path.join(self.directory, *parts)
+
+    def get(self, key: str) -> bytes | None:
+        # The cache entry is only valid if both metadata and body exist.
+        metadata_path = self._get_cache_path(key)
+        body_path = metadata_path + ".body"
+        if not (os.path.exists(metadata_path) and os.path.exists(body_path)):
+            return None
+        with suppressed_cache_errors():
+            with open(metadata_path, "rb") as f:
+                return f.read()
+
+    def _write_to_file(self, path: str, writer_func: Callable[[BinaryIO], Any]) -> None:
+        """Common file writing logic with proper permissions and atomic replacement."""
+        with suppressed_cache_errors():
+            ensure_dir(os.path.dirname(path))
+
+            with adjacent_tmp_file(path) as f:
+                writer_func(f)
+                # Inherit the read/write permissions of the cache directory
+                # to enable multi-user cache use-cases.
+                copy_directory_permissions(self.directory, f)
+
+            replace(f.name, path)
+
+    def _write(self, path: str, data: bytes) -> None:
+        self._write_to_file(path, lambda f: f.write(data))
+
+    def _write_from_io(self, path: str, source_file: BinaryIO) -> None:
+        self._write_to_file(path, lambda f: shutil.copyfileobj(source_file, f))
+
+    def set(
+        self, key: str, value: bytes, expires: int | datetime | None = None
+    ) -> None:
+        path = self._get_cache_path(key)
+        self._write(path, value)
+
+    def delete(self, key: str) -> None:
+        path = self._get_cache_path(key)
+        with suppressed_cache_errors():
+            os.remove(path)
+        with suppressed_cache_errors():
+            os.remove(path + ".body")
+
+    def get_body(self, key: str) -> BinaryIO | None:
+        # The cache entry is only valid if both metadata and body exist.
+        metadata_path = self._get_cache_path(key)
+        body_path = metadata_path + ".body"
+        if not (os.path.exists(metadata_path) and os.path.exists(body_path)):
+            return None
+        with suppressed_cache_errors():
+            return open(body_path, "rb")
+
+    def set_body(self, key: str, body: bytes) -> None:
+        path = self._get_cache_path(key) + ".body"
+        self._write(path, body)
+
+    def set_body_from_io(self, key: str, body_file: BinaryIO) -> None:
+        """Set the body of the cache entry from a file object."""
+        path = self._get_cache_path(key) + ".body"
+        self._write_from_io(path, body_file)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/download.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/download.py
new file mode 100644
index 0000000000000000000000000000000000000000..521abb76a992f87631bfee32e5e0e3fa5e21447d
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/download.py
@@ -0,0 +1,387 @@
+"""Download files with progress indicators."""
+
+from __future__ import annotations
+
+import email.message
+import logging
+import mimetypes
+import os
+from collections.abc import Iterable, Mapping
+from dataclasses import dataclass
+from http import HTTPStatus
+from typing import BinaryIO
+
+from pip._vendor.requests import PreparedRequest
+from pip._vendor.requests.models import Response
+from pip._vendor.urllib3 import HTTPResponse as URLlib3Response
+from pip._vendor.urllib3._collections import HTTPHeaderDict
+from pip._vendor.urllib3.exceptions import ProtocolError, ReadTimeoutError
+
+from pip._internal.cli.progress_bars import BarType, get_download_progress_renderer
+from pip._internal.exceptions import (
+    ConnectionFailedError,
+    ConnectionTimeoutError,
+    IncompleteDownloadError,
+    NetworkConnectionError,
+    ProxyConnectionError,
+    SSLVerificationError,
+)
+from pip._internal.models.link import (
+    Link,
+    PathComponent,
+    as_path_component,
+    join_within_directory,
+)
+from pip._internal.network.cache import SafeFileCache, is_from_cache
+from pip._internal.network.session import CacheControlAdapter, PipSession
+from pip._internal.network.utils import HEADERS, raise_for_status, response_chunks
+from pip._internal.utils.misc import format_size, redact_auth_from_url, splitext
+
+logger = logging.getLogger(__name__)
+
+
+def _get_http_response_size(resp: Response) -> int | None:
+    try:
+        size = int(resp.headers["content-length"])
+    except (ValueError, KeyError, TypeError):
+        return None
+    # A negative length would make _FileDownload.is_incomplete() report a
+    # truncated download as complete, so treat it as unknown instead.
+    if size < 0:
+        return None
+    return size
+
+
+def _get_http_response_etag_or_last_modified(resp: Response) -> str | None:
+    """
+    Return either the ETag or Last-Modified header (or None if neither exists).
+    The return value can be used in an If-Range header.
+    """
+    return resp.headers.get("etag", resp.headers.get("last-modified"))
+
+
+def _log_download(
+    resp: Response,
+    link: Link,
+    progress_bar: BarType,
+    total_length: int | None,
+    range_start: int | None = 0,
+) -> Iterable[bytes]:
+    if logger.getEffectiveLevel() > logging.INFO:
+        url = link.url_without_fragment
+    else:
+        url = link.show_url
+
+    logged_url = redact_auth_from_url(url)
+
+    if total_length:
+        if range_start:
+            logged_url = (
+                f"{logged_url} ({format_size(range_start)}/{format_size(total_length)})"
+            )
+        else:
+            logged_url = f"{logged_url} ({format_size(total_length)})"
+
+    if is_from_cache(resp):
+        logger.info("Using cached %s", logged_url)
+    elif range_start:
+        logger.info("Resuming download %s", logged_url)
+    else:
+        logger.info("Downloading %s", logged_url)
+
+    if logger.getEffectiveLevel() > logging.INFO:
+        show_progress = False
+    elif is_from_cache(resp):
+        show_progress = False
+    elif not total_length:
+        show_progress = True
+    elif total_length > (512 * 1024):
+        show_progress = True
+    else:
+        show_progress = False
+
+    chunks = response_chunks(resp)
+
+    if not show_progress:
+        return chunks
+
+    renderer = get_download_progress_renderer(
+        bar_type=progress_bar, size=total_length, initial_progress=range_start
+    )
+    return renderer(chunks)
+
+
+def sanitize_content_filename(filename: str) -> str:
+    """
+    Sanitize the "filename" value from a Content-Disposition header.
+    """
+    return os.path.basename(filename)
+
+
+def parse_content_disposition(content_disposition: str, default_filename: str) -> str:
+    """
+    Parse the "filename" value from a Content-Disposition header, and
+    return the default filename if the result is empty.
+    """
+    m = email.message.Message()
+    m["content-type"] = content_disposition
+    filename = m.get_param("filename")
+    if filename:
+        # We need to sanitize the filename to prevent directory traversal
+        # in case the filename contains ".." path parts.
+        filename = sanitize_content_filename(str(filename))
+    return filename or default_filename
+
+
+def _get_http_response_filename(resp: Response, link: Link) -> PathComponent:
+    """Get an ideal filename from the given HTTP response, falling back to
+    the link filename if not provided.
+
+    The result is validated as a single path component, so it can be joined onto
+    a download directory without escaping it.
+    """
+    filename: str = link.filename  # fallback
+    # Have a look at the Content-Disposition header for a better guess
+    content_disposition = resp.headers.get("content-disposition")
+    if content_disposition:
+        filename = parse_content_disposition(content_disposition, filename)
+    ext: str | None = splitext(filename)[1]
+    if not ext:
+        ext = mimetypes.guess_extension(resp.headers.get("content-type", ""))
+        if ext:
+            filename += ext
+    if not ext and link.url != resp.url:
+        ext = os.path.splitext(resp.url)[1]
+        if ext:
+            filename += ext
+    return as_path_component(filename)
+
+
+@dataclass
+class _FileDownload:
+    """Stores the state of a single link download."""
+
+    link: Link
+    output_file: BinaryIO
+    size: int | None
+    bytes_received: int = 0
+    reattempts: int = 0
+
+    def is_incomplete(self) -> bool:
+        return bool(self.size is not None and self.bytes_received < self.size)
+
+    def write_chunk(self, data: bytes) -> None:
+        self.bytes_received += len(data)
+        self.output_file.write(data)
+
+    def reset_file(self) -> None:
+        """Delete any saved data and reset progress to zero."""
+        self.output_file.seek(0)
+        self.output_file.truncate()
+        self.bytes_received = 0
+
+
+class Downloader:
+    def __init__(
+        self,
+        session: PipSession,
+        progress_bar: BarType,
+    ) -> None:
+        self._session = session
+        self._progress_bar = progress_bar
+        self._resume_retries = session.resume_retries
+        assert (
+            self._resume_retries >= 0
+        ), "Number of max resume retries must be bigger or equal to zero"
+
+    def batch(
+        self, links: Iterable[Link], location: str
+    ) -> Iterable[tuple[Link, tuple[str, str]]]:
+        """Convenience method to download multiple links."""
+        for link in links:
+            filepath, content_type = self(link, location)
+            yield link, (filepath, content_type)
+
+    def __call__(self, link: Link, location: str) -> tuple[str, str]:
+        """Download a link and save it under location."""
+        resp = self._http_get(link)
+        download_size = _get_http_response_size(resp)
+
+        filepath = join_within_directory(
+            location, _get_http_response_filename(resp, link)
+        )
+        with open(filepath, "wb") as content_file:
+            download = _FileDownload(link, content_file, download_size)
+            self._process_response(download, resp)
+            if download.is_incomplete():
+                self._attempt_resumes_or_redownloads(download, resp)
+
+        content_type = resp.headers.get("Content-Type", "")
+        return filepath, content_type
+
+    def _process_response(self, download: _FileDownload, resp: Response) -> None:
+        """Download and save chunks from a response."""
+        chunks = _log_download(
+            resp,
+            download.link,
+            self._progress_bar,
+            download.size,
+            range_start=download.bytes_received,
+        )
+        try:
+            for chunk in chunks:
+                download.write_chunk(chunk)
+        except (ReadTimeoutError, ProtocolError) as e:
+            # If the download size is not known, then give up downloading the file.
+            if download.size is None:
+                raise e
+
+            logger.warning("Connection interrupted while downloading.")
+
+    def _attempt_resumes_or_redownloads(
+        self, download: _FileDownload, first_resp: Response
+    ) -> None:
+        """Attempt to resume/restart the download if connection was dropped."""
+
+        while download.reattempts < self._resume_retries and download.is_incomplete():
+            assert download.size is not None
+            download.reattempts += 1
+            logger.warning(
+                "Attempting to resume incomplete download (%s/%s, attempt %d)",
+                format_size(download.bytes_received),
+                format_size(download.size),
+                download.reattempts,
+            )
+
+            try:
+                resume_resp = self._http_get_resume(download, should_match=first_resp)
+                # Fallback: if the server responded with 200 (i.e., the file has
+                # since been modified or range requests are unsupported) or any
+                # other unexpected status, restart the download from the beginning.
+                must_restart = resume_resp.status_code != HTTPStatus.PARTIAL_CONTENT
+                if must_restart:
+                    download.reset_file()
+                    download.size = _get_http_response_size(resume_resp)
+                    first_resp = resume_resp
+                else:
+                    # If the resume request starts at the wrong location, fail
+                    # outright since the server is misbehaving.
+                    content_range = resume_resp.headers.get("Content-Range", "")
+                    resumed_at = content_range.lower().partition("bytes ")[2]
+                    resumed_at = resumed_at.partition("-")[0]
+                    if resumed_at and resumed_at != str(download.bytes_received):
+                        raise IncompleteDownloadError(download)
+
+                self._process_response(download, resume_resp)
+            except (
+                ConnectionFailedError,
+                ConnectionTimeoutError,
+                ProxyConnectionError,
+                SSLVerificationError,
+                ReadTimeoutError,
+                ProtocolError,
+                OSError,
+            ):
+                # The error handling here is tricky, a few notes:
+                #
+                # - The diagnostic connection errors are raised by our custom
+                #   requests.request() connection exception handler.
+                # - ProtocolError is raised by urllib3 when the returned data length
+                #   doesn't match the response Content-Length.
+                # - ReadTimeoutError / ProtocolError come straight from urllib3 (via
+                #   process_response) and aren't caught by our connection exception
+                #   handler since they occur while *streaming* a response.
+                continue
+
+        # No more resume attempts. Raise an error if the download is still incomplete.
+        if download.is_incomplete():
+            os.remove(download.output_file.name)
+            raise IncompleteDownloadError(download)
+
+        # If we successfully completed the download via resume, manually cache it
+        # as a complete response to enable future caching
+        if download.reattempts > 0:
+            self._cache_resumed_download(download, first_resp)
+
+    def _cache_resumed_download(
+        self, download: _FileDownload, original_response: Response
+    ) -> None:
+        """
+        Manually cache a file that was successfully downloaded via resume retries.
+
+        cachecontrol doesn't cache 206 (Partial Content) responses, since they
+        are not complete files. This method manually adds the final file to the
+        cache as though it was downloaded in a single request, so that future
+        requests can use the cache.
+        """
+        url = download.link.url_without_fragment
+        adapter = self._session.get_adapter(url)
+
+        # Check if the adapter is the CacheControlAdapter (i.e. caching is enabled)
+        if not isinstance(adapter, CacheControlAdapter):
+            logger.debug(
+                "Skipping resume download caching: no cache controller for %s", url
+            )
+            return
+
+        # Check SafeFileCache is being used
+        assert isinstance(
+            adapter.cache, SafeFileCache
+        ), "separate body cache not in use!"
+
+        synthetic_request = PreparedRequest()
+        synthetic_request.prepare(method="GET", url=url, headers={})
+
+        synthetic_response_headers = HTTPHeaderDict()
+        for key, value in original_response.headers.items():
+            if key.lower() not in ["content-range", "content-length"]:
+                synthetic_response_headers[key] = value
+        synthetic_response_headers["content-length"] = str(download.size)
+
+        synthetic_response = URLlib3Response(
+            body="",
+            headers=synthetic_response_headers,
+            status=200,
+            preload_content=False,
+        )
+
+        # Save metadata and then stream the file contents to cache.
+        cache_url = adapter.controller.cache_url(url)
+        metadata_blob = adapter.controller.serializer.dumps(
+            synthetic_request, synthetic_response, b""
+        )
+        adapter.cache.set(cache_url, metadata_blob)
+        download.output_file.flush()
+        with open(download.output_file.name, "rb") as f:
+            adapter.cache.set_body_from_io(cache_url, f)
+
+        logger.debug(
+            "Cached resumed download as complete response for future use: %s", url
+        )
+
+    def _http_get_resume(
+        self, download: _FileDownload, should_match: Response
+    ) -> Response:
+        """Issue a HTTP range request to resume the download."""
+        # To better understand the download resumption logic, see the mdn web docs:
+        # https://developer.mozilla.org/en-US/docs/Web/HTTP/Guides/Range_requests
+        headers = HEADERS.copy()
+        headers["Range"] = f"bytes={download.bytes_received}-"
+        # If possible, use a conditional range request to avoid corrupted
+        # downloads caused by the remote file changing in-between.
+        if identifier := _get_http_response_etag_or_last_modified(should_match):
+            headers["If-Range"] = identifier
+        return self._http_get(download.link, headers)
+
+    def _http_get(self, link: Link, headers: Mapping[str, str] = HEADERS) -> Response:
+        target_url = link.url_without_fragment
+        try:
+            resp = self._session.get(target_url, headers=headers, stream=True)
+            raise_for_status(resp)
+        except NetworkConnectionError as e:
+            assert e.response is not None
+            logger.critical(
+                "HTTP error %s while getting %s", e.response.status_code, link
+            )
+            raise
+        return resp
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/lazy_wheel.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/lazy_wheel.py
new file mode 100644
index 0000000000000000000000000000000000000000..00398337ec62a5778f90b0d17069c935e9823849
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/lazy_wheel.py
@@ -0,0 +1,215 @@
+"""Lazy ZIP over HTTP"""
+
+from __future__ import annotations
+
+__all__ = ["HTTPRangeRequestUnsupported", "dist_from_wheel_url"]
+
+from bisect import bisect_left, bisect_right
+from collections.abc import Generator
+from contextlib import contextmanager
+from tempfile import NamedTemporaryFile
+from typing import Any
+from zipfile import BadZipFile, ZipFile
+
+from pip._vendor.packaging.utils import NormalizedName
+from pip._vendor.requests.models import CONTENT_CHUNK_SIZE, Response
+
+from pip._internal.metadata import BaseDistribution, MemoryWheel, get_wheel_distribution
+from pip._internal.network.session import PipSession
+from pip._internal.network.utils import HEADERS, raise_for_status, response_chunks
+
+
+class HTTPRangeRequestUnsupported(Exception):
+    pass
+
+
+def dist_from_wheel_url(
+    name: NormalizedName, url: str, session: PipSession
+) -> BaseDistribution:
+    """Return a distribution object from the given wheel URL.
+
+    This uses HTTP range requests to only fetch the portion of the wheel
+    containing metadata, just enough for the object to be constructed.
+    If such requests are not supported, HTTPRangeRequestUnsupported
+    is raised.
+    """
+    with LazyZipOverHTTP(url, session) as zf:
+        # For read-only ZIP files, ZipFile only needs methods read,
+        # seek, seekable and tell, not the whole IO protocol.
+        wheel = MemoryWheel(zf.name, zf)  # type: ignore
+        # After context manager exit, wheel.name
+        # is an invalid file by intention.
+        return get_wheel_distribution(wheel, name)
+
+
+class LazyZipOverHTTP:
+    """File-like object mapped to a ZIP file over HTTP.
+
+    This uses HTTP range requests to lazily fetch the file's content,
+    which is supposed to be fed to ZipFile.  If such requests are not
+    supported by the server, raise HTTPRangeRequestUnsupported
+    during initialization.
+    """
+
+    def __init__(
+        self, url: str, session: PipSession, chunk_size: int = CONTENT_CHUNK_SIZE
+    ) -> None:
+        head = session.head(url, headers=HEADERS)
+        raise_for_status(head)
+        assert head.status_code == 200
+        self._session, self._url, self._chunk_size = session, url, chunk_size
+        self._length = int(head.headers["Content-Length"])
+        self._file = NamedTemporaryFile()
+        self.truncate(self._length)
+        self._left: list[int] = []
+        self._right: list[int] = []
+        if "bytes" not in head.headers.get("Accept-Ranges", "none"):
+            raise HTTPRangeRequestUnsupported("range request is not supported")
+        self._check_zip()
+
+    @property
+    def mode(self) -> str:
+        """Opening mode, which is always rb."""
+        return "rb"
+
+    @property
+    def name(self) -> str:
+        """Path to the underlying file."""
+        return self._file.name
+
+    def seekable(self) -> bool:
+        """Return whether random access is supported, which is True."""
+        return True
+
+    def close(self) -> None:
+        """Close the file."""
+        self._file.close()
+
+    @property
+    def closed(self) -> bool:
+        """Whether the file is closed."""
+        return self._file.closed
+
+    def read(self, size: int = -1) -> bytes:
+        """Read up to size bytes from the object and return them.
+
+        As a convenience, if size is unspecified or -1,
+        all bytes until EOF are returned.  Fewer than
+        size bytes may be returned if EOF is reached.
+        """
+        download_size = max(size, self._chunk_size)
+        start, length = self.tell(), self._length
+        stop = length if size < 0 else min(start + download_size, length)
+        start = max(0, stop - download_size)
+        self._download(start, stop - 1)
+        return self._file.read(size)
+
+    def readable(self) -> bool:
+        """Return whether the file is readable, which is True."""
+        return True
+
+    def seek(self, offset: int, whence: int = 0) -> int:
+        """Change stream position and return the new absolute position.
+
+        Seek to offset relative position indicated by whence:
+        * 0: Start of stream (the default).  pos should be >= 0;
+        * 1: Current position - pos may be negative;
+        * 2: End of stream - pos usually negative.
+        """
+        return self._file.seek(offset, whence)
+
+    def tell(self) -> int:
+        """Return the current position."""
+        return self._file.tell()
+
+    def truncate(self, size: int | None = None) -> int:
+        """Resize the stream to the given size in bytes.
+
+        If size is unspecified resize to the current position.
+        The current stream position isn't changed.
+
+        Return the new file size.
+        """
+        return self._file.truncate(size)
+
+    def writable(self) -> bool:
+        """Return False."""
+        return False
+
+    def __enter__(self) -> LazyZipOverHTTP:
+        self._file.__enter__()
+        return self
+
+    def __exit__(self, *exc: Any) -> None:
+        self._file.__exit__(*exc)
+
+    @contextmanager
+    def _stay(self) -> Generator[None, None, None]:
+        """Return a context manager keeping the position.
+
+        At the end of the block, seek back to original position.
+        """
+        pos = self.tell()
+        try:
+            yield
+        finally:
+            self.seek(pos)
+
+    def _check_zip(self) -> None:
+        """Check and download until the file is a valid ZIP."""
+        end = self._length - 1
+        for start in reversed(range(0, end, self._chunk_size)):
+            self._download(start, end)
+            with self._stay():
+                try:
+                    # For read-only ZIP files, ZipFile only needs
+                    # methods read, seek, seekable and tell.
+                    ZipFile(self)
+                except BadZipFile:
+                    pass
+                else:
+                    break
+
+    def _stream_response(
+        self, start: int, end: int, base_headers: dict[str, str] = HEADERS
+    ) -> Response:
+        """Return HTTP response to a range request from start to end."""
+        headers = base_headers.copy()
+        headers["Range"] = f"bytes={start}-{end}"
+        # TODO: Get range requests to be correctly cached
+        headers["Cache-Control"] = "no-cache"
+        return self._session.get(self._url, headers=headers, stream=True)
+
+    def _merge(
+        self, start: int, end: int, left: int, right: int
+    ) -> Generator[tuple[int, int], None, None]:
+        """Return a generator of intervals to be fetched.
+
+        Args:
+            start (int): Start of needed interval
+            end (int): End of needed interval
+            left (int): Index of first overlapping downloaded data
+            right (int): Index after last overlapping downloaded data
+        """
+        lslice, rslice = self._left[left:right], self._right[left:right]
+        i = start = min([start] + lslice[:1])
+        end = max([end] + rslice[-1:])
+        for j, k in zip(lslice, rslice):
+            if j > i:
+                yield i, j - 1
+            i = k + 1
+        if i <= end:
+            yield i, end
+        self._left[left:right], self._right[left:right] = [start], [end]
+
+    def _download(self, start: int, end: int) -> None:
+        """Download bytes from start to end inclusively."""
+        with self._stay():
+            left = bisect_left(self._right, start)
+            right = bisect_right(self._left, end)
+            for start, end in self._merge(start, end, left, right):
+                response = self._stream_response(start, end)
+                response.raise_for_status()
+                self.seek(start)
+                for chunk in response_chunks(response, self._chunk_size):
+                    self._file.write(chunk)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/session.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/session.py
new file mode 100644
index 0000000000000000000000000000000000000000..5ddbb2ae342a43c6bc6afe7a58efbd7e0e0fe4ec
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/session.py
@@ -0,0 +1,532 @@
+"""PipSession and supporting code, containing all pip-specific
+network request configuration and behavior.
+"""
+
+from __future__ import annotations
+
+import email.utils
+import functools
+import io
+import ipaddress
+import json
+import logging
+import mimetypes
+import os
+import platform
+import shutil
+import subprocess
+import sys
+import urllib.parse
+import warnings
+from collections.abc import Generator, Mapping, Sequence
+from typing import (
+    TYPE_CHECKING,
+    Any,
+)
+
+from pip._vendor import requests, urllib3
+from pip._vendor.cachecontrol import CacheControlAdapter as _BaseCacheControlAdapter
+from pip._vendor.requests.adapters import DEFAULT_POOLBLOCK, BaseAdapter
+from pip._vendor.requests.adapters import HTTPAdapter as _BaseHTTPAdapter
+from pip._vendor.requests.models import PreparedRequest, Response
+from pip._vendor.requests.structures import CaseInsensitiveDict
+from pip._vendor.urllib3.connectionpool import ConnectionPool
+from pip._vendor.urllib3.exceptions import InsecureRequestWarning
+
+from pip import __version__
+from pip._internal.exceptions import SSLMissingError
+from pip._internal.metadata import get_default_environment
+from pip._internal.models.link import Link
+from pip._internal.network.auth import MultiDomainBasicAuth
+from pip._internal.network.cache import SafeFileCache
+from pip._internal.network.utils import raise_connection_error
+
+# Import ssl from compat so the initial import occurs in only one place.
+from pip._internal.utils.compat import has_tls
+from pip._internal.utils.glibc import libc_ver
+from pip._internal.utils.misc import (
+    build_url_from_netloc,
+    looks_like_ci,
+    parse_netloc,
+    redact_auth_from_url,
+)
+from pip._internal.utils.urls import url_to_path
+
+if TYPE_CHECKING:
+    from ssl import SSLContext
+
+    from pip._vendor.urllib3 import ProxyManager
+
+
+logger = logging.getLogger(__name__)
+
+SecureOrigin = tuple[str, str, int | str | None]
+
+
+# Ignore warning raised when using --trusted-host.
+warnings.filterwarnings("ignore", category=InsecureRequestWarning)
+
+
+SECURE_ORIGINS: list[SecureOrigin] = [
+    # protocol, hostname, port
+    # Taken from Chrome's list of secure origins (See: http://bit.ly/1qrySKC)
+    ("https", "*", "*"),
+    ("*", "localhost", "*"),
+    ("*", "127.0.0.0/8", "*"),
+    ("*", "::1/128", "*"),
+    ("file", "*", None),
+    # ssh is always secure.
+    ("ssh", "*", "*"),
+]
+
+
+@functools.lru_cache(maxsize=1)
+def user_agent() -> str:
+    """
+    Return a string representing the user agent.
+    """
+    data: dict[str, Any] = {
+        "installer": {"name": "pip", "version": __version__},
+        "python": platform.python_version(),
+        "implementation": {
+            "name": platform.python_implementation(),
+        },
+    }
+
+    if data["implementation"]["name"] == "CPython":
+        data["implementation"]["version"] = platform.python_version()
+    elif data["implementation"]["name"] == "PyPy":
+        pypy_version_info = sys.pypy_version_info  # type: ignore
+        if pypy_version_info.releaselevel == "final":
+            pypy_version_info = pypy_version_info[:3]
+        data["implementation"]["version"] = ".".join(
+            [str(x) for x in pypy_version_info]
+        )
+    elif data["implementation"]["name"] == "Jython":
+        # Complete Guess
+        data["implementation"]["version"] = platform.python_version()
+    elif data["implementation"]["name"] == "IronPython":
+        # Complete Guess
+        data["implementation"]["version"] = platform.python_version()
+
+    if sys.platform.startswith("linux"):
+        from pip._vendor import distro
+
+        linux_distribution = distro.name(), distro.version(), distro.codename()
+        distro_infos: dict[str, Any] = dict(
+            filter(
+                lambda x: x[1],
+                zip(["name", "version", "id"], linux_distribution),
+            )
+        )
+        libc = dict(
+            filter(
+                lambda x: x[1],
+                zip(["lib", "version"], libc_ver()),
+            )
+        )
+        if libc:
+            distro_infos["libc"] = libc
+        if distro_infos:
+            data["distro"] = distro_infos
+
+    if sys.platform.startswith("darwin") and platform.mac_ver()[0]:
+        data["distro"] = {"name": "macOS", "version": platform.mac_ver()[0]}
+
+    if platform.system():
+        data.setdefault("system", {})["name"] = platform.system()
+
+    if platform.release():
+        data.setdefault("system", {})["release"] = platform.release()
+
+    if platform.machine():
+        data["cpu"] = platform.machine()
+
+    if has_tls():
+        import _ssl as ssl
+
+        data["openssl_version"] = ssl.OPENSSL_VERSION
+
+    setuptools_dist = get_default_environment().get_distribution("setuptools")
+    if setuptools_dist is not None:
+        data["setuptools_version"] = str(setuptools_dist.version)
+
+    if shutil.which("rustc") is not None:
+        # If for any reason `rustc --version` fails, silently ignore it
+        try:
+            rustc_output = subprocess.check_output(
+                ["rustc", "--version"], stderr=subprocess.STDOUT, timeout=0.5
+            )
+        except Exception:
+            pass
+        else:
+            if rustc_output.startswith(b"rustc "):
+                # The format of `rustc --version` is:
+                # `b'rustc 1.52.1 (9bc8c42bb 2021-05-09)\n'`
+                # We extract just the middle (1.52.1) part
+                data["rustc_version"] = rustc_output.split(b" ")[1].decode()
+
+    # Use None rather than False so as not to give the impression that
+    # pip knows it is not being run under CI.  Rather, it is a null or
+    # inconclusive result.  Also, we include some value rather than no
+    # value to make it easier to know that the check has been run.
+    data["ci"] = True if looks_like_ci() else None
+
+    user_data = os.environ.get("PIP_USER_AGENT_USER_DATA")
+    if user_data is not None:
+        data["user_data"] = user_data
+
+    return "{data[installer][name]}/{data[installer][version]} {json}".format(
+        data=data,
+        json=json.dumps(data, separators=(",", ":"), sort_keys=True),
+    )
+
+
+class LocalFSAdapter(BaseAdapter):
+    def send(
+        self,
+        request: PreparedRequest,
+        stream: bool = False,
+        timeout: float | tuple[float | None, float | None] | None = None,
+        verify: bool | str = True,
+        cert: bytes | str | tuple[bytes | str, bytes | str] | None = None,
+        proxies: Mapping[str, str] | None = None,
+    ) -> Response:
+        assert request.url is not None
+        pathname = url_to_path(request.url)
+
+        resp = Response()
+        resp.status_code = 200
+        resp.url = request.url
+
+        try:
+            stats = os.stat(pathname)
+        except OSError as exc:
+            # format the exception raised as a io.BytesIO object,
+            # to return a better error message:
+            resp.status_code = 404
+            resp.reason = type(exc).__name__
+            resp.raw = io.BytesIO(f"{resp.reason}: {exc}".encode())
+        else:
+            modified = email.utils.formatdate(stats.st_mtime, usegmt=True)
+            content_type = mimetypes.guess_type(pathname)[0] or "text/plain"
+            resp.headers = CaseInsensitiveDict(
+                {
+                    "Content-Type": content_type,
+                    "Content-Length": str(stats.st_size),
+                    "Last-Modified": modified,
+                }
+            )
+
+            resp.raw = open(pathname, "rb")
+            resp.close = resp.raw.close  # type: ignore[method-assign]
+
+        return resp
+
+    def close(self) -> None:
+        pass
+
+
+class _SSLContextAdapterMixin:
+    """Mixin to add the ``ssl_context`` constructor argument to HTTP adapters.
+
+    The additional argument is forwarded directly to the pool manager. This allows us
+    to dynamically decide what SSL store to use at runtime, which is used to implement
+    the optional ``truststore`` backend.
+    """
+
+    def __init__(
+        self,
+        *,
+        ssl_context: SSLContext | None = None,
+        **kwargs: Any,
+    ) -> None:
+        self._ssl_context = ssl_context
+        super().__init__(**kwargs)
+
+    def init_poolmanager(
+        self,
+        connections: int,
+        maxsize: int,
+        block: bool = DEFAULT_POOLBLOCK,
+        **pool_kwargs: Any,
+    ) -> None:
+        if self._ssl_context is not None:
+            pool_kwargs.setdefault("ssl_context", self._ssl_context)
+        super().init_poolmanager(  # type: ignore[misc]
+            connections=connections,
+            maxsize=maxsize,
+            block=block,
+            **pool_kwargs,
+        )
+
+    def proxy_manager_for(self, proxy: str, **proxy_kwargs: Any) -> ProxyManager:
+        # Proxy manager replaces the pool manager, so inject our SSL
+        # context here too. https://github.com/pypa/pip/issues/13288
+        if self._ssl_context is not None:
+            proxy_kwargs.setdefault("ssl_context", self._ssl_context)
+            # For HTTPS proxies, urllib3 also opens a separate TLS connection
+            # to the proxy itself (before tunnelling to the destination) and
+            # uses "proxy_ssl_context" for that handshake.
+            # https://github.com/pypa/pip/issues/13465
+            proxy_kwargs.setdefault("proxy_ssl_context", self._ssl_context)
+        return super().proxy_manager_for(proxy, **proxy_kwargs)  # type: ignore[misc]
+
+
+class HTTPAdapter(_SSLContextAdapterMixin, _BaseHTTPAdapter):
+    pass
+
+
+class CacheControlAdapter(_SSLContextAdapterMixin, _BaseCacheControlAdapter):
+    pass
+
+
+class InsecureHTTPAdapter(HTTPAdapter):
+    def cert_verify(
+        self,
+        conn: ConnectionPool,
+        url: str,
+        verify: bool | str,
+        cert: str | tuple[str, str] | None,
+    ) -> None:
+        super().cert_verify(conn=conn, url=url, verify=False, cert=cert)
+
+
+class InsecureCacheControlAdapter(CacheControlAdapter):
+    def cert_verify(
+        self,
+        conn: ConnectionPool,
+        url: str,
+        verify: bool | str,
+        cert: str | tuple[str, str] | None,
+    ) -> None:
+        super().cert_verify(conn=conn, url=url, verify=False, cert=cert)
+
+
+class PipSession(requests.Session):
+    timeout: int | None = None
+
+    def __init__(
+        self,
+        *args: Any,
+        retries: int = 0,
+        resume_retries: int = 0,
+        cache: str | None = None,
+        trusted_hosts: Sequence[str] = (),
+        index_urls: list[str] | None = None,
+        ssl_context: SSLContext | None = None,
+        refresh_package: set[str] | None = None,
+        **kwargs: Any,
+    ) -> None:
+        """
+        :param trusted_hosts: Domains not to emit warnings for when not using
+            HTTPS.
+        """
+        super().__init__(*args, **kwargs)
+
+        # Namespace the attribute with "pip_" just in case to prevent
+        # possible conflicts with the base class.
+        self.pip_trusted_origins: list[tuple[str, int | None]] = []
+        # "" disables proxying; None means no --proxy was given.
+        self.pip_proxy: str | None = None
+        self.pip_no_proxy_env = False
+        self.refresh_package: set[str] = refresh_package or set()
+
+        # Attach our User Agent to the request
+        self.headers["User-Agent"] = user_agent()
+
+        # Pin Accept-Encoding so it doesn't vary with zstd availability (Python
+        # 3.14+ or backports.zstd); a varying value misses the cache for "Vary:
+        # Accept-Encoding" responses shared across interpreters (pypa/pip#13979).
+        self.headers["Accept-Encoding"] = "gzip, deflate"
+
+        # Attach our Authentication handler to the session
+        self.auth: MultiDomainBasicAuth = MultiDomainBasicAuth(index_urls=index_urls)
+
+        # Create our urllib3.Retry instance which will allow us to customize
+        # how we handle retries.
+        retries = urllib3.Retry(
+            # Set the total number of retries that a particular request can
+            # have.
+            total=retries,
+            # A 503 error from PyPI typically means that the Fastly -> Origin
+            # connection got interrupted in some way. A 503 error in general
+            # is typically considered a transient error so we'll go ahead and
+            # retry it.
+            # A 500 may indicate transient error in Amazon S3
+            # A 502 may be a transient error from a CDN like CloudFlare or CloudFront
+            # A 520 or 527 - may indicate transient error in CloudFlare
+            status_forcelist=[500, 502, 503, 520, 527],
+            # Add a small amount of back off between failed requests in
+            # order to prevent hammering the service.
+            backoff_factor=0.25,
+        )  # type: ignore
+        self.resume_retries = resume_retries
+
+        # Our Insecure HTTPAdapter disables HTTPS validation. It does not
+        # support caching so we'll use it for all http:// URLs.
+        # If caching is disabled, we will also use it for
+        # https:// hosts that we've marked as ignoring
+        # TLS errors for (trusted-hosts).
+        insecure_adapter = InsecureHTTPAdapter(max_retries=retries)
+
+        # We want to _only_ cache responses on securely fetched origins or when
+        # the host is specified as trusted. We do this because
+        # we can't validate the response of an insecurely/untrusted fetched
+        # origin, and we don't want someone to be able to poison the cache and
+        # require manual eviction from the cache to fix it.
+        self._trusted_host_adapter: InsecureCacheControlAdapter | InsecureHTTPAdapter
+        if cache:
+            secure_adapter: _BaseHTTPAdapter = CacheControlAdapter(
+                cache=SafeFileCache(cache),
+                max_retries=retries,
+                ssl_context=ssl_context,
+            )
+            self._trusted_host_adapter = InsecureCacheControlAdapter(
+                cache=SafeFileCache(cache),
+                max_retries=retries,
+            )
+        else:
+            secure_adapter = HTTPAdapter(max_retries=retries, ssl_context=ssl_context)
+            self._trusted_host_adapter = insecure_adapter
+
+        self.mount("https://", secure_adapter)
+        self.mount("http://", insecure_adapter)
+
+        # Enable file:// urls
+        self.mount("file://", LocalFSAdapter())
+
+        for host in trusted_hosts:
+            self.add_trusted_host(host, suppress_logging=True)
+
+    def update_index_urls(self, new_index_urls: list[str]) -> None:
+        """
+        :param new_index_urls: New index urls to update the authentication
+            handler with.
+        """
+        self.auth.index_urls = new_index_urls
+
+    def add_trusted_host(
+        self, host: str, source: str | None = None, suppress_logging: bool = False
+    ) -> None:
+        """
+        :param host: It is okay to provide a host that has previously been
+            added.
+        :param source: An optional source string, for logging where the host
+            string came from.
+        """
+        if not suppress_logging:
+            msg = f"adding trusted host: {host!r}"
+            if source is not None:
+                msg += f" (from {source})"
+            logger.info(msg)
+
+        parsed_host, parsed_port = parse_netloc(host)
+        if parsed_host is None:
+            raise ValueError(f"Trusted host URL must include a host part: {host!r}")
+        if (parsed_host, parsed_port) not in self.pip_trusted_origins:
+            self.pip_trusted_origins.append((parsed_host, parsed_port))
+
+        self.mount(
+            build_url_from_netloc(host, scheme="http") + "/", self._trusted_host_adapter
+        )
+        self.mount(build_url_from_netloc(host) + "/", self._trusted_host_adapter)
+        if not parsed_port:
+            self.mount(
+                build_url_from_netloc(host, scheme="http") + ":",
+                self._trusted_host_adapter,
+            )
+            # Mount wildcard ports for the same host.
+            self.mount(build_url_from_netloc(host) + ":", self._trusted_host_adapter)
+
+    def iter_secure_origins(self) -> Generator[SecureOrigin, None, None]:
+        yield from SECURE_ORIGINS
+        for host, port in self.pip_trusted_origins:
+            yield ("*", host, "*" if port is None else port)
+
+    def is_secure_origin(self, location: Link) -> bool:
+        # Determine if this url used a secure transport mechanism
+        parsed = urllib.parse.urlparse(str(location))
+        origin_protocol, origin_host, origin_port = (
+            parsed.scheme,
+            parsed.hostname,
+            parsed.port,
+        )
+
+        # The protocol to use to see if the protocol matches.
+        # Don't count the repository type as part of the protocol: in
+        # cases such as "git+ssh", only use "ssh". (I.e., Only verify against
+        # the last scheme.)
+        origin_protocol = origin_protocol.rsplit("+", 1)[-1]
+
+        # Determine if our origin is a secure origin by looking through our
+        # hardcoded list of secure origins, as well as any additional ones
+        # configured on this PackageFinder instance.
+        for secure_origin in self.iter_secure_origins():
+            secure_protocol, secure_host, secure_port = secure_origin
+            if origin_protocol != secure_protocol and secure_protocol != "*":
+                continue
+
+            try:
+                addr = ipaddress.ip_address(origin_host or "")
+                network = ipaddress.ip_network(secure_host)
+            except ValueError:
+                # We don't have both a valid address or a valid network, so
+                # we'll check this origin against hostnames.
+                if (
+                    origin_host
+                    and origin_host.lower() != secure_host.lower()
+                    and secure_host != "*"
+                ):
+                    continue
+            else:
+                # We have a valid address and network, so see if the address
+                # is contained within the network.
+                if addr not in network:
+                    continue
+
+            # Check to see if the port matches.
+            if (
+                origin_port != secure_port
+                and secure_port != "*"
+                and secure_port is not None
+            ):
+                continue
+
+            # If we've gotten here, then this origin matches the current
+            # secure origin and we should return True
+            return True
+
+        # If we've gotten to this point, then the origin isn't secure and we
+        # will not accept it as a valid location to search. We will however
+        # log a warning that we are ignoring it.
+        logger.warning(
+            "The repository located at %s is not a trusted or secure host and "
+            "is being ignored. If this repository is available via HTTPS we "
+            "recommend you use HTTPS instead, otherwise you may silence "
+            "this warning and allow it anyway with '--trusted-host %s'.",
+            origin_host,
+            origin_host,
+        )
+
+        return False
+
+    def request(self, method: str, url: str, *args: Any, **kwargs: Any) -> Response:  # type: ignore[override]
+        # Allow setting a default timeout on a session
+        kwargs.setdefault("timeout", self.timeout)
+        # Allow setting a default proxies on a session
+        kwargs.setdefault("proxies", self.proxies)
+
+        # Dispatch the actual request
+        try:
+            return super().request(method, url, *args, **kwargs)
+        except (requests.ConnectionError, requests.Timeout) as e:
+            request = getattr(e, "request", None)
+            failed_url = getattr(request, "url", None) or url
+            raise_connection_error(e, url=failed_url, timeout=kwargs["timeout"])
+        except ImportError as e:
+            if "ssl" in str(e).lower():
+                # Unfortunately, if this TLS error was the result of a redirect from
+                # a HTTP to a HTTPS url, we don't know what the final url was.
+                raise SSLMissingError(redact_auth_from_url(url))
+            raise
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/utils.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/utils.py
new file mode 100644
index 0000000000000000000000000000000000000000..0f50607de6d8ba4d905f0cf8e7838598c17dc4f8
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/utils.py
@@ -0,0 +1,206 @@
+from collections.abc import Generator
+from typing import Literal, NoReturn, TypeAlias, cast
+from urllib.parse import urlsplit
+
+from pip._vendor import requests, urllib3
+from pip._vendor.requests.models import Response
+from pip._vendor.urllib3.exceptions import TimeoutStateError
+
+from pip._internal.exceptions import (
+    ConnectionFailedError,
+    ConnectionTimeoutError,
+    NetworkConnectionError,
+    ProxyConnectionError,
+    SSLVerificationError,
+)
+from pip._internal.utils.misc import redact_auth_from_url
+
+TimeoutValue: TypeAlias = (
+    float | tuple[float | None, float | None] | urllib3.util.Timeout | None
+)
+
+# The following comments and HTTP headers were originally added by
+# Donald Stufft in git commit 22c562429a61bb77172039e480873fb239dd8c03.
+#
+# We use Accept-Encoding: identity here because requests defaults to
+# accepting compressed responses. This breaks in a variety of ways
+# depending on how the server is configured.
+# - Some servers will notice that the file isn't a compressible file
+#   and will leave the file alone and with an empty Content-Encoding
+# - Some servers will notice that the file is already compressed and
+#   will leave the file alone, adding a Content-Encoding: gzip header
+# - Some servers won't notice anything at all and will take a file
+#   that's already been compressed and compress it again, and set
+#   the Content-Encoding: gzip header
+# By setting this to request only the identity encoding we're hoping
+# to eliminate the third case.  Hopefully there does not exist a server
+# which when given a file will notice it is already compressed and that
+# you're not asking for a compressed file and will then decompress it
+# before sending because if that's the case I don't think it'll ever be
+# possible to make this work.
+HEADERS: dict[str, str] = {"Accept-Encoding": "identity"}
+
+DOWNLOAD_CHUNK_SIZE = 256 * 1024
+
+
+def raise_for_status(resp: Response) -> None:
+    http_error_msg = ""
+    if isinstance(resp.reason, bytes):
+        # We attempt to decode utf-8 first because some servers
+        # choose to localize their reason strings. If the string
+        # isn't utf-8, we fall back to iso-8859-1 for all other
+        # encodings.
+        try:
+            reason = resp.reason.decode("utf-8")
+        except UnicodeDecodeError:
+            reason = resp.reason.decode("iso-8859-1")
+    else:
+        reason = resp.reason
+
+    if 400 <= resp.status_code < 500:
+        http_error_msg = (
+            f"{resp.status_code} Client Error: {reason} for url: {resp.url}"
+        )
+
+    elif 500 <= resp.status_code < 600:
+        http_error_msg = (
+            f"{resp.status_code} Server Error: {reason} for url: {resp.url}"
+        )
+
+    if http_error_msg:
+        raise NetworkConnectionError(http_error_msg, response=resp)
+
+
+def response_chunks(
+    response: Response, chunk_size: int = DOWNLOAD_CHUNK_SIZE
+) -> Generator[bytes, None, None]:
+    """Given a requests Response, provide the data chunks."""
+    try:
+        # Special case for urllib3.
+        for chunk in response.raw.stream(
+            chunk_size,
+            # We use decode_content=False here because we don't
+            # want urllib3 to mess with the raw bytes we get
+            # from the server. If we decompress inside of
+            # urllib3 then we cannot verify the checksum
+            # because the checksum will be of the compressed
+            # file. This breakage will only occur if the
+            # server adds a Content-Encoding header, which
+            # depends on how the server was configured:
+            # - Some servers will notice that the file isn't a
+            #   compressible file and will leave the file alone
+            #   and with an empty Content-Encoding
+            # - Some servers will notice that the file is
+            #   already compressed and will leave the file
+            #   alone and will add a Content-Encoding: gzip
+            #   header
+            # - Some servers won't notice anything at all and
+            #   will take a file that's already been compressed
+            #   and compress it again and set the
+            #   Content-Encoding: gzip header
+            #
+            # By setting this not to decode automatically we
+            # hope to eliminate problems with the second case.
+            decode_content=False,
+        ):
+            yield chunk
+    except AttributeError:
+        # Standard file-like object.
+        while True:
+            chunk = response.raw.read(chunk_size)
+            if not chunk:
+                break
+            yield chunk
+
+
+def _parse_timeout(timeout: TimeoutValue, kind: Literal["connect", "read"]) -> float:
+    connect_timeout: float | None
+    read_timeout: float | None
+    if isinstance(timeout, tuple):
+        connect_timeout, read_timeout = timeout
+    elif isinstance(timeout, urllib3.util.Timeout):
+        connect_timeout = cast(float | None, timeout.connect_timeout)
+        try:
+            read_timeout = timeout.read_timeout
+        except TimeoutStateError:
+            read_timeout = None
+    else:
+        connect_timeout = read_timeout = timeout
+
+    if kind == "connect":
+        assert connect_timeout is not None
+        return connect_timeout
+    else:
+        assert read_timeout is not None
+        return read_timeout
+
+
+def _raise_timeout_error(
+    reason: urllib3.exceptions.TimeoutError,
+    url: str,
+    host: str,
+    timeout: TimeoutValue,
+) -> NoReturn:
+    if isinstance(reason, urllib3.exceptions.ConnectTimeoutError):
+        raise ConnectionTimeoutError(
+            url, host, kind="connect", timeout=_parse_timeout(timeout, "connect")
+        )
+    else:
+        raise ConnectionTimeoutError(
+            url, host, kind="read", timeout=_parse_timeout(timeout, "read")
+        )
+
+
+def raise_connection_error(
+    error: requests.ConnectionError | requests.Timeout,
+    *,
+    url: str,
+    timeout: TimeoutValue,
+) -> NoReturn:
+    """Raise a specific error for a given connection error, if possible.
+
+    Note: requests.ConnectionError is the parent class of
+          requests.ProxyError, requests.SSLError, and requests.ConnectTimeout
+          so these errors are also handled here.
+    """
+    url = redact_auth_from_url(url)
+    raw_hostname = urlsplit(url).hostname or urlsplit(url).netloc
+    reason = error.args[0] if error.args else error
+
+    # NewConnectionError is a subclass of TimeoutError for some reason...
+    if isinstance(reason, urllib3.exceptions.TimeoutError) and not isinstance(
+        reason, urllib3.exceptions.NewConnectionError
+    ):
+        # A bare timeout error can occur during non-streamed responses. Don't
+        # ask me how.
+        _raise_timeout_error(reason, url, raw_hostname, timeout)
+    if isinstance(reason, urllib3.exceptions.SSLError):
+        # A bare SSL error can occur during non-streamed responses, after the
+        # initial connection and TLS handshake have completed.
+        raise SSLVerificationError(url, raw_hostname, reason)
+
+    # At this point, all errors should be wrapped in MaxRetryError.
+    if not isinstance(reason, urllib3.exceptions.MaxRetryError):
+        raise ConnectionFailedError(url, raw_hostname, reason)
+
+    max_retry_error = reason
+    assert isinstance(max_retry_error.pool, urllib3.connectionpool.HTTPConnectionPool)
+    host = max_retry_error.pool.host
+    proxy = max_retry_error.pool.proxy
+    # Narrow the reason further to the specific error from the last retry.
+    reason = max_retry_error.reason
+
+    if isinstance(reason, urllib3.exceptions.SSLError):
+        raise SSLVerificationError(url, host, reason)
+    if isinstance(reason, urllib3.exceptions.TimeoutError) and not isinstance(
+        reason, urllib3.exceptions.NewConnectionError
+    ):
+        _raise_timeout_error(reason, url, host, timeout)
+    if isinstance(reason, urllib3.exceptions.ProxyError):
+        assert proxy is not None
+        raise ProxyConnectionError(url, redact_auth_from_url(str(proxy)), reason)
+
+    # Unknown error, give up and raise a generic error.
+    raise ConnectionFailedError(
+        url, host, reason if isinstance(reason, Exception) else max_retry_error
+    )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/xmlrpc.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/xmlrpc.py
new file mode 100644
index 0000000000000000000000000000000000000000..f4bddb48a1d46e60628c655edb0b7412dd19c639
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/network/xmlrpc.py
@@ -0,0 +1,61 @@
+"""xmlrpclib.Transport implementation"""
+
+import logging
+import urllib.parse
+import xmlrpc.client
+from typing import TYPE_CHECKING
+
+from pip._internal.exceptions import NetworkConnectionError
+from pip._internal.network.session import PipSession
+from pip._internal.network.utils import raise_for_status
+
+if TYPE_CHECKING:
+    from xmlrpc.client import _HostType, _Marshallable
+
+    from _typeshed import SizedBuffer
+
+logger = logging.getLogger(__name__)
+
+
+class PipXmlrpcTransport(xmlrpc.client.Transport):
+    """Provide a `xmlrpclib.Transport` implementation via a `PipSession`
+    object.
+    """
+
+    def __init__(
+        self, index_url: str, session: PipSession, use_datetime: bool = False
+    ) -> None:
+        super().__init__(use_datetime)
+        index_parts = urllib.parse.urlparse(index_url)
+        self._scheme = index_parts.scheme
+        self._session = session
+
+    def request(
+        self,
+        host: "_HostType",
+        handler: str,
+        request_body: "SizedBuffer",
+        verbose: bool = False,
+    ) -> tuple["_Marshallable", ...]:
+        assert isinstance(host, str)
+        parts = (self._scheme, host, handler, None, None, None)
+        url = urllib.parse.urlunparse(parts)
+        try:
+            headers = {"Content-Type": "text/xml"}
+            response = self._session.post(
+                url,
+                data=request_body,
+                headers=headers,
+                stream=True,
+            )
+            raise_for_status(response)
+            self.verbose = verbose
+            return self.parse_response(response.raw)
+        except NetworkConnectionError as exc:
+            assert exc.response
+            logger.critical(
+                "HTTP error %s while getting %s",
+                exc.response.status_code,
+                url,
+            )
+            raise
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/build_tracker.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/build_tracker.py
new file mode 100644
index 0000000000000000000000000000000000000000..cbb4e4f0928f3688402a3c5d2c4ba5da2bbfbbc2
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/build_tracker.py
@@ -0,0 +1,140 @@
+from __future__ import annotations
+
+import contextlib
+import hashlib
+import logging
+import os
+from collections.abc import Generator
+from types import TracebackType
+
+from pip._internal.req.req_install import InstallRequirement
+from pip._internal.utils.temp_dir import TempDirectory
+
+logger = logging.getLogger(__name__)
+
+
+@contextlib.contextmanager
+def update_env_context_manager(**changes: str) -> Generator[None, None, None]:
+    target = os.environ
+
+    # Save values from the target and change them.
+    non_existent_marker = object()
+    saved_values: dict[str, object | str] = {}
+    for name, new_value in changes.items():
+        try:
+            saved_values[name] = target[name]
+        except KeyError:
+            saved_values[name] = non_existent_marker
+        target[name] = new_value
+
+    try:
+        yield
+    finally:
+        # Restore original values in the target.
+        for name, original_value in saved_values.items():
+            if original_value is non_existent_marker:
+                del target[name]
+            else:
+                assert isinstance(original_value, str)  # for mypy
+                target[name] = original_value
+
+
+@contextlib.contextmanager
+def get_build_tracker() -> Generator[BuildTracker, None, None]:
+    root = os.environ.get("PIP_BUILD_TRACKER")
+    with contextlib.ExitStack() as ctx:
+        if root is None:
+            root = ctx.enter_context(TempDirectory(kind="build-tracker")).path
+            ctx.enter_context(update_env_context_manager(PIP_BUILD_TRACKER=root))
+            logger.debug("Initialized build tracking at %s", root)
+
+        with BuildTracker(root) as tracker:
+            yield tracker
+
+
+class TrackerId(str):
+    """Uniquely identifying string provided to the build tracker."""
+
+
+class BuildTracker:
+    """Ensure that an sdist cannot request itself as a setup requirement.
+
+    When an sdist is prepared, it identifies its setup requirements in the
+    context of ``BuildTracker.track()``. If a requirement shows up recursively, this
+    raises an exception.
+
+    This stops fork bombs embedded in malicious packages."""
+
+    def __init__(self, root: str) -> None:
+        self._root = root
+        self._entries: dict[TrackerId, InstallRequirement] = {}
+        logger.debug("Created build tracker: %s", self._root)
+
+    def __enter__(self) -> BuildTracker:
+        logger.debug("Entered build tracker: %s", self._root)
+        return self
+
+    def __exit__(
+        self,
+        exc_type: type[BaseException] | None,
+        exc_val: BaseException | None,
+        exc_tb: TracebackType | None,
+    ) -> None:
+        self.cleanup()
+
+    def _entry_path(self, key: TrackerId) -> str:
+        hashed = hashlib.sha224(key.encode()).hexdigest()
+        return os.path.join(self._root, hashed)
+
+    def add(self, req: InstallRequirement, key: TrackerId) -> None:
+        """Add an InstallRequirement to build tracking."""
+
+        # Get the file to write information about this requirement.
+        entry_path = self._entry_path(key)
+
+        # Try reading from the file. If it exists and can be read from, a build
+        # is already in progress, so a LookupError is raised.
+        try:
+            with open(entry_path) as fp:
+                contents = fp.read()
+        except FileNotFoundError:
+            pass
+        else:
+            message = f"{req.link} is already being built: {contents}"
+            raise LookupError(message)
+
+        # If we're here, req should really not be building already.
+        assert key not in self._entries
+
+        # Start tracking this requirement.
+        with open(entry_path, "w", encoding="utf-8") as fp:
+            fp.write(str(req))
+        self._entries[key] = req
+
+        logger.debug("Added %s to build tracker %r", req, self._root)
+
+    def remove(self, req: InstallRequirement, key: TrackerId) -> None:
+        """Remove an InstallRequirement from build tracking."""
+
+        # Delete the created file and the corresponding entry.
+        os.unlink(self._entry_path(key))
+        del self._entries[key]
+
+        logger.debug("Removed %s from build tracker %r", req, self._root)
+
+    def cleanup(self) -> None:
+        for key, req in list(self._entries.items()):
+            self.remove(req, key)
+
+        logger.debug("Removed build tracker: %r", self._root)
+
+    @contextlib.contextmanager
+    def track(self, req: InstallRequirement, key: str) -> Generator[None, None, None]:
+        """Ensure that `key` cannot install itself as a setup requirement.
+
+        :raises LookupError: If `key` was already provided in a parent invocation of
+                             the context introduced by this method."""
+        tracker_id = TrackerId(key)
+        self.add(req, tracker_id)
+        yield
+        self.remove(req, tracker_id)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/metadata.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/metadata.py
new file mode 100644
index 0000000000000000000000000000000000000000..a546809ecd5aaebe791fffef6f0bb114fcec49c6
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/metadata.py
@@ -0,0 +1,38 @@
+"""Metadata generation logic for source distributions."""
+
+import os
+
+from pip._vendor.pyproject_hooks import BuildBackendHookCaller
+
+from pip._internal.build_env import BuildEnvironment
+from pip._internal.exceptions import (
+    InstallationSubprocessError,
+    MetadataGenerationFailed,
+)
+from pip._internal.utils.subprocess import runner_with_spinner_message
+from pip._internal.utils.temp_dir import TempDirectory
+
+
+def generate_metadata(
+    build_env: BuildEnvironment, backend: BuildBackendHookCaller, details: str
+) -> str:
+    """Generate metadata using mechanisms described in PEP 517.
+
+    Returns the generated metadata directory.
+    """
+    metadata_tmpdir = TempDirectory(kind="modern-metadata", globally_managed=True)
+
+    metadata_dir = metadata_tmpdir.path
+
+    with build_env:
+        # Note that BuildBackendHookCaller implements a fallback for
+        # prepare_metadata_for_build_wheel, so we don't have to
+        # consider the possibility that this hook doesn't exist.
+        runner = runner_with_spinner_message("Preparing metadata (pyproject.toml)")
+        with backend.subprocess_runner(runner):
+            try:
+                distinfo_dir = backend.prepare_metadata_for_build_wheel(metadata_dir)
+            except InstallationSubprocessError as error:
+                raise MetadataGenerationFailed(package_details=details) from error
+
+    return os.path.join(metadata_dir, distinfo_dir)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/metadata_editable.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/metadata_editable.py
new file mode 100644
index 0000000000000000000000000000000000000000..27ecd7d3d80676330d197008a5055837cfbc4e24
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/metadata_editable.py
@@ -0,0 +1,41 @@
+"""Metadata generation logic for source distributions."""
+
+import os
+
+from pip._vendor.pyproject_hooks import BuildBackendHookCaller
+
+from pip._internal.build_env import BuildEnvironment
+from pip._internal.exceptions import (
+    InstallationSubprocessError,
+    MetadataGenerationFailed,
+)
+from pip._internal.utils.subprocess import runner_with_spinner_message
+from pip._internal.utils.temp_dir import TempDirectory
+
+
+def generate_editable_metadata(
+    build_env: BuildEnvironment, backend: BuildBackendHookCaller, details: str
+) -> str:
+    """Generate metadata using mechanisms described in PEP 660.
+
+    Returns the generated metadata directory.
+    """
+    metadata_tmpdir = TempDirectory(kind="modern-metadata", globally_managed=True)
+
+    metadata_dir = metadata_tmpdir.path
+
+    with build_env:
+        # Note that BuildBackendHookCaller implements a fallback for
+        # prepare_metadata_for_build_wheel/editable, so we don't have to
+        # consider the possibility that this hook doesn't exist.
+        runner = runner_with_spinner_message(
+            "Preparing editable metadata (pyproject.toml)"
+        )
+        with backend.subprocess_runner(runner):
+            try:
+                distinfo_dir = backend.prepare_metadata_for_build_editable(metadata_dir)
+            except InstallationSubprocessError as error:
+                raise MetadataGenerationFailed(package_details=details) from error
+
+    assert distinfo_dir is not None
+    return os.path.join(metadata_dir, distinfo_dir)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/wheel.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/wheel.py
new file mode 100644
index 0000000000000000000000000000000000000000..8595e45c5487c0a274f3f447e6de254e19db9dd2
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/wheel.py
@@ -0,0 +1,38 @@
+from __future__ import annotations
+
+import logging
+import os
+
+from pip._vendor.pyproject_hooks import BuildBackendHookCaller
+
+from pip._internal.utils.subprocess import runner_with_spinner_message
+
+logger = logging.getLogger(__name__)
+
+
+def build_wheel_pep517(
+    name: str,
+    backend: BuildBackendHookCaller,
+    metadata_directory: str,
+    wheel_directory: str,
+) -> str | None:
+    """Build one InstallRequirement using the PEP 517 build process.
+
+    Returns path to wheel if successfully built. Otherwise, returns None.
+    """
+    assert metadata_directory is not None
+    try:
+        logger.debug("Destination directory: %s", wheel_directory)
+
+        runner = runner_with_spinner_message(
+            f"Building wheel for {name} (pyproject.toml)"
+        )
+        with backend.subprocess_runner(runner):
+            wheel_name = backend.build_wheel(
+                wheel_directory=wheel_directory,
+                metadata_directory=metadata_directory,
+            )
+    except Exception:
+        logger.error("Failed building wheel for %s", name)
+        return None
+    return os.path.join(wheel_directory, wheel_name)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/wheel_editable.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/wheel_editable.py
new file mode 100644
index 0000000000000000000000000000000000000000..f00d9b27ecb40b1c70283aba3be527381eec3d35
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/build/wheel_editable.py
@@ -0,0 +1,47 @@
+from __future__ import annotations
+
+import logging
+import os
+
+from pip._vendor.pyproject_hooks import BuildBackendHookCaller, HookMissing
+
+from pip._internal.utils.subprocess import runner_with_spinner_message
+
+logger = logging.getLogger(__name__)
+
+
+def build_wheel_editable(
+    name: str,
+    backend: BuildBackendHookCaller,
+    metadata_directory: str,
+    wheel_directory: str,
+) -> str | None:
+    """Build one InstallRequirement using the PEP 660 build process.
+
+    Returns path to wheel if successfully built. Otherwise, returns None.
+    """
+    assert metadata_directory is not None
+    try:
+        logger.debug("Destination directory: %s", wheel_directory)
+
+        runner = runner_with_spinner_message(
+            f"Building editable for {name} (pyproject.toml)"
+        )
+        with backend.subprocess_runner(runner):
+            try:
+                wheel_name = backend.build_editable(
+                    wheel_directory=wheel_directory,
+                    metadata_directory=metadata_directory,
+                )
+            except HookMissing as e:
+                logger.error(
+                    "Cannot build editable %s because the build "
+                    "backend does not have the %s hook",
+                    name,
+                    e,
+                )
+                return None
+    except Exception:
+        logger.error("Failed building editable for %s", name)
+        return None
+    return os.path.join(wheel_directory, wheel_name)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/check.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/check.py
new file mode 100644
index 0000000000000000000000000000000000000000..00cb6c562e20b3aa85a9581805a8f022114875bc
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/check.py
@@ -0,0 +1,174 @@
+"""Validation of dependencies of packages"""
+
+from __future__ import annotations
+
+import logging
+from collections.abc import Callable, Generator, Iterable
+from contextlib import suppress
+from email.parser import Parser
+from functools import reduce
+from typing import (
+    NamedTuple,
+)
+
+from pip._vendor.packaging.requirements import Requirement
+from pip._vendor.packaging.tags import Tag, parse_tag
+from pip._vendor.packaging.utils import NormalizedName, canonicalize_name
+from pip._vendor.packaging.version import Version
+
+from pip._internal.distributions import make_distribution_for_install_requirement
+from pip._internal.metadata import get_default_environment
+from pip._internal.metadata.base import BaseDistribution
+from pip._internal.req.req_install import InstallRequirement
+
+logger = logging.getLogger(__name__)
+
+
+class PackageDetails(NamedTuple):
+    version: Version
+    dependencies: list[Requirement]
+
+
+# Shorthands
+PackageSet = dict[NormalizedName, PackageDetails]
+Missing = tuple[NormalizedName, Requirement]
+Conflicting = tuple[NormalizedName, Version, Requirement]
+
+MissingDict = dict[NormalizedName, list[Missing]]
+ConflictingDict = dict[NormalizedName, list[Conflicting]]
+CheckResult = tuple[MissingDict, ConflictingDict]
+ConflictDetails = tuple[PackageSet, CheckResult]
+
+
+def create_package_set_from_installed() -> tuple[PackageSet, bool]:
+    """Converts a list of distributions into a PackageSet."""
+    package_set = {}
+    problems = False
+    env = get_default_environment()
+    for dist in env.iter_installed_distributions(local_only=False, skip=()):
+        name = dist.canonical_name
+        try:
+            dependencies = list(dist.iter_dependencies())
+            package_set[name] = PackageDetails(dist.version, dependencies)
+        except (OSError, ValueError) as e:
+            # Don't crash on unreadable or broken metadata.
+            logger.warning("Error parsing dependencies of %s: %s", name, e)
+            problems = True
+    return package_set, problems
+
+
+def check_package_set(
+    package_set: PackageSet, should_ignore: Callable[[str], bool] | None = None
+) -> CheckResult:
+    """Check if a package set is consistent
+
+    If should_ignore is passed, it should be a callable that takes a
+    package name and returns a boolean.
+    """
+
+    missing = {}
+    conflicting = {}
+
+    for package_name, package_detail in package_set.items():
+        # Info about dependencies of package_name
+        missing_deps: set[Missing] = set()
+        conflicting_deps: set[Conflicting] = set()
+
+        if should_ignore and should_ignore(package_name):
+            continue
+
+        for req in package_detail.dependencies:
+            name = canonicalize_name(req.name)
+
+            # Check if it's missing
+            if name not in package_set:
+                missed = True
+                if req.marker is not None:
+                    missed = req.marker.evaluate({"extra": ""})
+                if missed:
+                    missing_deps.add((name, req))
+                continue
+
+            # Check if there's a conflict
+            version = package_set[name].version
+            if not req.specifier.contains(version, prereleases=True):
+                conflicting_deps.add((name, version, req))
+
+        if missing_deps:
+            missing[package_name] = sorted(missing_deps, key=str)
+        if conflicting_deps:
+            conflicting[package_name] = sorted(conflicting_deps, key=str)
+
+    return missing, conflicting
+
+
+def check_install_conflicts(to_install: list[InstallRequirement]) -> ConflictDetails:
+    """For checking if the dependency graph would be consistent after \
+    installing given requirements
+    """
+    # Start from the current state
+    package_set, _ = create_package_set_from_installed()
+    # Install packages
+    would_be_installed = _simulate_installation_of(to_install, package_set)
+
+    # Only warn about directly-dependent packages; create a whitelist of them
+    whitelist = _create_whitelist(would_be_installed, package_set)
+
+    return (
+        package_set,
+        check_package_set(
+            package_set, should_ignore=lambda name: name not in whitelist
+        ),
+    )
+
+
+def check_unsupported(
+    packages: Iterable[BaseDistribution],
+    supported_tags: Iterable[Tag],
+) -> Generator[BaseDistribution, None, None]:
+    for p in packages:
+        with suppress(FileNotFoundError):
+            wheel_file = p.read_text("WHEEL")
+            wheel_tags: frozenset[Tag] = reduce(
+                frozenset.union,
+                map(parse_tag, Parser().parsestr(wheel_file).get_all("Tag", [])),
+                frozenset(),
+            )
+            if wheel_tags.isdisjoint(supported_tags):
+                yield p
+
+
+def _simulate_installation_of(
+    to_install: list[InstallRequirement], package_set: PackageSet
+) -> set[NormalizedName]:
+    """Computes the version of packages after installing to_install."""
+    # Keep track of packages that were installed
+    installed = set()
+
+    # Modify it as installing requirement_set would (assuming no errors)
+    for inst_req in to_install:
+        abstract_dist = make_distribution_for_install_requirement(inst_req)
+        dist = abstract_dist.get_metadata_distribution()
+        name = dist.canonical_name
+        package_set[name] = PackageDetails(dist.version, list(dist.iter_dependencies()))
+
+        installed.add(name)
+
+    return installed
+
+
+def _create_whitelist(
+    would_be_installed: set[NormalizedName], package_set: PackageSet
+) -> set[NormalizedName]:
+    packages_affected = set(would_be_installed)
+
+    for package_name in package_set:
+        if package_name in packages_affected:
+            continue
+
+        for req in package_set[package_name].dependencies:
+            if canonicalize_name(req.name) in would_be_installed:
+                packages_affected.add(package_name)
+                break
+
+    return packages_affected
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/freeze.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/freeze.py
new file mode 100644
index 0000000000000000000000000000000000000000..486a833212f2cf220b6c9e0a918c05f913509750
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/freeze.py
@@ -0,0 +1,259 @@
+from __future__ import annotations
+
+import collections
+import logging
+import os
+from collections.abc import Container, Generator, Iterable
+from dataclasses import dataclass, field
+from typing import NamedTuple
+
+from pip._vendor.packaging.utils import NormalizedName, canonicalize_name
+from pip._vendor.packaging.version import InvalidVersion
+
+from pip._internal.exceptions import BadCommand, InstallationError
+from pip._internal.metadata import BaseDistribution, get_environment
+from pip._internal.req.constructors import (
+    install_req_from_editable,
+    install_req_from_line,
+)
+from pip._internal.req.req_file import COMMENT_RE
+from pip._internal.utils.direct_url_helpers import direct_url_as_pep440_direct_reference
+
+logger = logging.getLogger(__name__)
+
+
+class _EditableInfo(NamedTuple):
+    requirement: str
+    comments: list[str]
+
+
+def freeze(
+    requirement: list[str] | None = None,
+    local_only: bool = False,
+    user_only: bool = False,
+    paths: list[str] | None = None,
+    isolated: bool = False,
+    exclude_editable: bool = False,
+    skip: Container[str] = (),
+) -> Generator[str, None, None]:
+    installations: dict[str, FrozenRequirement] = {}
+
+    dists = get_environment(paths).iter_installed_distributions(
+        local_only=local_only,
+        skip=(),
+        user_only=user_only,
+    )
+    for dist in dists:
+        req = FrozenRequirement.from_dist(dist)
+        if exclude_editable and req.editable:
+            continue
+        installations[req.canonical_name] = req
+
+    if requirement:
+        # the options that don't get turned into an InstallRequirement
+        # should only be emitted once, even if the same option is in multiple
+        # requirements files, so we need to keep track of what has been emitted
+        # so that we don't emit it again if it's seen again
+        emitted_options: set[str] = set()
+        # keep track of which files a requirement is in so that we can
+        # give an accurate warning if a requirement appears multiple times.
+        req_files: dict[str, list[str]] = collections.defaultdict(list)
+        for req_file_path in requirement:
+            with open(req_file_path) as req_file:
+                for line in req_file:
+                    if (
+                        not line.strip()
+                        or line.strip().startswith("#")
+                        or line.startswith(
+                            (
+                                "-r",
+                                "--requirement",
+                                "-f",
+                                "--find-links",
+                                "-i",
+                                "--index-url",
+                                "--pre",
+                                "--trusted-host",
+                                "--process-dependency-links",
+                                "--extra-index-url",
+                                "--use-feature",
+                            )
+                        )
+                    ):
+                        line = line.rstrip()
+                        if line not in emitted_options:
+                            emitted_options.add(line)
+                            yield line
+                        continue
+
+                    if line.startswith(("-e", "--editable")):
+                        if line.startswith("-e"):
+                            line = line[2:].strip()
+                        else:
+                            line = line[len("--editable") :].strip().lstrip("=")
+                        line_req = install_req_from_editable(
+                            line,
+                            isolated=isolated,
+                        )
+                    else:
+                        line_req = install_req_from_line(
+                            COMMENT_RE.sub("", line).strip(),
+                            isolated=isolated,
+                        )
+
+                    if not line_req.name:
+                        logger.info(
+                            "Skipping line in requirement file [%s] because "
+                            "it's not clear what it would install: %s",
+                            req_file_path,
+                            line.strip(),
+                        )
+                        logger.info(
+                            "  (add #egg=PackageName to the URL to avoid"
+                            " this warning)"
+                        )
+                    else:
+                        line_req_canonical_name = canonicalize_name(line_req.name)
+                        if line_req_canonical_name not in installations:
+                            # either it's not installed, or it is installed
+                            # but has been processed already
+                            if not req_files[line_req.name]:
+                                logger.warning(
+                                    "Requirement file [%s] contains %s, but "
+                                    "package %r is not installed",
+                                    req_file_path,
+                                    COMMENT_RE.sub("", line).strip(),
+                                    line_req.name,
+                                )
+                            else:
+                                req_files[line_req.name].append(req_file_path)
+                        else:
+                            yield str(installations[line_req_canonical_name]).rstrip()
+                            del installations[line_req_canonical_name]
+                            req_files[line_req.name].append(req_file_path)
+
+        # Warn about requirements that were included multiple times (in a
+        # single requirements file or in different requirements files).
+        for name, files in req_files.items():
+            if len(files) > 1:
+                logger.warning(
+                    "Requirement %s included multiple times [%s]",
+                    name,
+                    ", ".join(sorted(set(files))),
+                )
+
+        yield ("## The following requirements were added by pip freeze:")
+    for installation in sorted(installations.values(), key=lambda x: x.name.lower()):
+        if installation.canonical_name not in skip:
+            yield str(installation).rstrip()
+
+
+def _format_as_name_version(dist: BaseDistribution) -> str:
+    try:
+        dist_version = dist.version
+    except InvalidVersion:
+        # legacy version
+        return f"{dist.raw_name}==={dist.raw_version}"
+    else:
+        return f"{dist.raw_name}=={dist_version}"
+
+
+def _get_editable_info(dist: BaseDistribution) -> _EditableInfo:
+    """
+    Compute and return values (req, comments) for use in
+    FrozenRequirement.from_dist().
+    """
+    editable_project_location = dist.editable_project_location
+    assert editable_project_location
+    location = os.path.normcase(os.path.abspath(editable_project_location))
+
+    from pip._internal.vcs import RemoteNotFoundError, RemoteNotValidError, vcs
+
+    vcs_backend = vcs.get_backend_for_dir(location)
+
+    if vcs_backend is None:
+        display = _format_as_name_version(dist)
+        logger.debug(
+            'No VCS found for editable requirement "%s" in: %r',
+            display,
+            location,
+        )
+        return _EditableInfo(
+            requirement=location,
+            comments=[f"# Editable install with no version control ({display})"],
+        )
+
+    vcs_name = type(vcs_backend).__name__
+
+    try:
+        req = vcs_backend.get_src_requirement(location, dist.raw_name)
+    except RemoteNotFoundError:
+        display = _format_as_name_version(dist)
+        return _EditableInfo(
+            requirement=location,
+            comments=[f"# Editable {vcs_name} install with no remote ({display})"],
+        )
+    except RemoteNotValidError as ex:
+        display = _format_as_name_version(dist)
+        return _EditableInfo(
+            requirement=location,
+            comments=[
+                f"# Editable {vcs_name} install ({display}) with either a deleted "
+                f"local remote or invalid URI:",
+                f"# '{ex.url}'",
+            ],
+        )
+    except BadCommand:
+        logger.warning(
+            "cannot determine version of editable source in %s "
+            "(%s command not found in path)",
+            location,
+            vcs_backend.name,
+        )
+        return _EditableInfo(requirement=location, comments=[])
+    except InstallationError as exc:
+        logger.warning("Error when trying to get requirement for VCS system %s", exc)
+    else:
+        return _EditableInfo(requirement=req, comments=[])
+
+    logger.warning("Could not determine repository location of %s", location)
+
+    return _EditableInfo(
+        requirement=location,
+        comments=["## !! Could not determine repository location"],
+    )
+
+
+@dataclass(frozen=True)
+class FrozenRequirement:
+    name: str
+    req: str
+    editable: bool
+    comments: Iterable[str] = field(default_factory=tuple)
+
+    @property
+    def canonical_name(self) -> NormalizedName:
+        return canonicalize_name(self.name)
+
+    @classmethod
+    def from_dist(cls, dist: BaseDistribution) -> FrozenRequirement:
+        editable = dist.editable
+        if editable:
+            req, comments = _get_editable_info(dist)
+        else:
+            comments = []
+            direct_url = dist.direct_url
+            if direct_url:
+                # if PEP 610 metadata is present, use it
+                req = direct_url_as_pep440_direct_reference(direct_url, dist.raw_name)
+            else:
+                # name==version requirement
+                req = _format_as_name_version(dist)
+
+        return cls(dist.raw_name, req, editable, comments=comments)
+
+    def __str__(self) -> str:
+        req = self.req
+        if self.editable:
+            req = f"-e {req}"
+        return "\n".join(list(self.comments) + [str(req)]) + "\n"
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/install/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/install/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..2645a4acad087929da46b104ef09ce64cf4ca8d5
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/install/__init__.py
@@ -0,0 +1 @@
+"""For modules related to installing packages."""
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/install/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/install/__pycache__/__init__.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/install/__pycache__/wheel.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/install/__pycache__/wheel.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/install/wheel.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/install/wheel.py
new file mode 100644
index 0000000000000000000000000000000000000000..c026005cb25c91f0a43acd0d0004d6b9034ec297
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/install/wheel.py
@@ -0,0 +1,764 @@
+"""Support for installing and building the "wheel" binary package format."""
+
+from __future__ import annotations
+
+import collections
+import compileall
+import contextlib
+import csv
+import importlib
+import logging
+import os.path
+import re
+import shutil
+import sys
+import textwrap
+import warnings
+from base64 import urlsafe_b64encode
+from collections.abc import Callable, Generator, Iterable, Iterator, Sequence
+from email.message import Message
+from itertools import chain, filterfalse, starmap
+from pathlib import Path
+from typing import (
+    IO,
+    Any,
+    BinaryIO,
+    NewType,
+    Protocol,
+    cast,
+)
+from zipfile import ZipFile, ZipInfo
+
+from pip._vendor.distlib.scripts import ScriptMaker
+from pip._vendor.distlib.util import get_export_entry
+from pip._vendor.packaging.utils import canonicalize_name
+
+from pip._internal.exceptions import InstallationError
+from pip._internal.locations import get_major_minor_version
+from pip._internal.metadata import (
+    BaseDistribution,
+    FilesystemWheel,
+    get_wheel_distribution,
+)
+from pip._internal.models.direct_url import DIRECT_URL_METADATA_NAME, DirectUrl
+from pip._internal.models.scheme import SCHEME_KEYS, Scheme
+from pip._internal.utils.filesystem import adjacent_tmp_file, replace
+from pip._internal.utils.misc import StreamWrapper, ensure_dir, hash_file, partition
+from pip._internal.utils.unpacking import (
+    current_umask,
+    is_within_directory,
+    set_extracted_file_to_default_mode_plus_executable,
+    zip_item_is_executable,
+)
+from pip._internal.utils.wheel import parse_wheel
+
+
+class File(Protocol):
+    src_record_path: RecordPath
+    dest_path: str
+    changed: bool
+
+    def save(self) -> None:
+        pass
+
+
+logger = logging.getLogger(__name__)
+
+RecordPath = NewType("RecordPath", str)
+InstalledCSVRow = tuple[RecordPath, str, int | str]
+
+
+def rehash(path: str, blocksize: int = 1 << 20) -> tuple[str, str]:
+    """Return (encoded_digest, length) for path using hashlib.sha256()"""
+    h, length = hash_file(path, blocksize)
+    digest = "sha256=" + urlsafe_b64encode(h.digest()).decode("latin1").rstrip("=")
+    return (digest, str(length))
+
+
+def csv_io_kwargs(mode: str) -> dict[str, Any]:
+    """Return keyword arguments to properly open a CSV file
+    in the given mode.
+    """
+    return {"mode": mode, "newline": "", "encoding": "utf-8"}
+
+
+def fix_script(path: str) -> bool:
+    """Replace #!python with #!/path/to/python
+    Return True if file was changed.
+    """
+    # XXX RECORD hashes will need to be updated
+    assert os.path.isfile(path)
+
+    with open(path, "rb") as script:
+        firstline = script.readline()
+        if not firstline.startswith(b"#!python"):
+            return False
+        exename = sys.executable.encode(sys.getfilesystemencoding())
+        firstline = b"#!" + exename + os.linesep.encode("ascii")
+        rest = script.read()
+    with open(path, "wb") as script:
+        script.write(firstline)
+        script.write(rest)
+    return True
+
+
+def wheel_root_is_purelib(metadata: Message) -> bool:
+    return metadata.get("Root-Is-Purelib", "").lower() == "true"
+
+
+def get_entrypoints(dist: BaseDistribution) -> tuple[dict[str, str], dict[str, str]]:
+    console_scripts = {}
+    gui_scripts = {}
+    for entry_point in dist.iter_entry_points():
+        if entry_point.group == "console_scripts":
+            console_scripts[entry_point.name] = entry_point.value
+        elif entry_point.group == "gui_scripts":
+            gui_scripts[entry_point.name] = entry_point.value
+    return console_scripts, gui_scripts
+
+
+def message_about_scripts_not_on_PATH(scripts: Sequence[str]) -> str | None:
+    """Determine if any scripts are not on PATH and format a warning.
+    Returns a warning message if one or more scripts are not on PATH,
+    otherwise None.
+    """
+    if not scripts:
+        return None
+
+    # Group scripts by the path they were installed in
+    grouped_by_dir: dict[Path, set[str]] = collections.defaultdict(set)
+    for destfile in scripts:
+        dest_path = Path(destfile)
+        parent_dir = dest_path.parent.resolve()
+        script_name = dest_path.name
+        grouped_by_dir[parent_dir].add(script_name)
+
+    # We don't want to warn for directories that are on PATH.
+    not_warn_dirs = [
+        Path(i).resolve() for i in os.environ.get("PATH", "").split(os.pathsep)
+    ]
+    # If an executable sits with sys.executable, we don't warn for it.
+    #     This covers the case of venv invocations without activating the venv.
+    not_warn_dirs.append(Path(sys.executable).parent.resolve())
+    warn_for: dict[Path, set[str]] = {
+        parent_dir: scripts
+        for parent_dir, scripts in grouped_by_dir.items()
+        if parent_dir not in not_warn_dirs
+    }
+    if not warn_for:
+        return None
+
+    # Format a message
+    msg_lines = []
+    for parent_dir, dir_scripts in warn_for.items():
+        sorted_scripts: list[str] = sorted(dir_scripts)
+        if len(sorted_scripts) == 1:
+            start_text = f"script {sorted_scripts[0]} is"
+        else:
+            start_text = "scripts {} are".format(
+                ", ".join(sorted_scripts[:-1]) + " and " + sorted_scripts[-1]
+            )
+
+        msg_lines.append(
+            f"The {start_text} installed in '{parent_dir}' which is not on PATH."
+        )
+
+    last_line_fmt = (
+        "Consider adding {} to PATH or, if you prefer "
+        "to suppress this warning, use --no-warn-script-location."
+    )
+    if len(msg_lines) == 1:
+        msg_lines.append(last_line_fmt.format("this directory"))
+    else:
+        msg_lines.append(last_line_fmt.format("these directories"))
+
+    # Add a note if any directory starts with ~
+    warn_for_tilde = any(
+        i[0] == "~" for i in os.environ.get("PATH", "").split(os.pathsep) if i
+    )
+    if warn_for_tilde:
+        tilde_warning_msg = (
+            "NOTE: The current PATH contains path(s) starting with `~`, "
+            "which may not be expanded by all applications."
+        )
+        msg_lines.append(tilde_warning_msg)
+
+    # Returns the formatted multiline message
+    return "\n".join(msg_lines)
+
+
+def _normalized_outrows(
+    outrows: Iterable[InstalledCSVRow],
+) -> list[tuple[str, str, str]]:
+    """Normalize the given rows of a RECORD file.
+
+    Items in each row are converted into str. Rows are then sorted to make
+    the value more predictable for tests.
+
+    Each row is a 3-tuple (path, hash, size) and corresponds to a record of
+    a RECORD file (see PEP 376 and PEP 427 for details).  For the rows
+    passed to this function, the size can be an integer as an int or string,
+    or the empty string.
+    """
+    # Normally, there should only be one row per path, in which case the
+    # second and third elements don't come into play when sorting.
+    # However, in cases in the wild where a path might happen to occur twice,
+    # we don't want the sort operation to trigger an error (but still want
+    # determinism).  Since the third element can be an int or string, we
+    # coerce each element to a string to avoid a TypeError in this case.
+    # For additional background, see--
+    # https://github.com/pypa/pip/issues/5868
+    return sorted(
+        (record_path, hash_, str(size)) for record_path, hash_, size in outrows
+    )
+
+
+def _record_to_fs_path(record_path: RecordPath, lib_dir: str) -> str:
+    return os.path.join(lib_dir, record_path)
+
+
+def _fs_to_record_path(path: str, lib_dir: str) -> RecordPath:
+    # On Windows, do not handle relative paths if they belong to different
+    # logical disks
+    if os.path.splitdrive(path)[0].lower() == os.path.splitdrive(lib_dir)[0].lower():
+        path = os.path.relpath(path, lib_dir)
+
+    path = path.replace(os.path.sep, "/")
+    return cast("RecordPath", path)
+
+
+def get_csv_rows_for_installed(
+    old_csv_rows: list[list[str]],
+    installed: dict[RecordPath, RecordPath],
+    changed: set[RecordPath],
+    generated: list[str],
+    lib_dir: str,
+) -> list[InstalledCSVRow]:
+    """
+    :param installed: A map from archive RECORD path to installation RECORD
+        path.
+    """
+    installed_rows: list[InstalledCSVRow] = []
+    for row in old_csv_rows:
+        if len(row) > 3:
+            logger.warning("RECORD line has more than three elements: %s", row)
+        old_record_path = cast("RecordPath", row[0])
+        new_record_path = installed.pop(old_record_path, old_record_path)
+        if new_record_path in changed:
+            digest, length = rehash(_record_to_fs_path(new_record_path, lib_dir))
+        else:
+            digest = row[1] if len(row) > 1 else ""
+            length = row[2] if len(row) > 2 else ""
+        installed_rows.append((new_record_path, digest, length))
+    for f in generated:
+        path = _fs_to_record_path(f, lib_dir)
+        digest, length = rehash(f)
+        installed_rows.append((path, digest, length))
+    return installed_rows + [
+        (installed_record_path, "", "") for installed_record_path in installed.values()
+    ]
+
+
+def get_console_script_specs(console: dict[str, str]) -> list[str]:
+    """
+    Given the mapping from entrypoint name to callable, return the relevant
+    console script specs.
+    """
+    # Don't mutate caller's version
+    console = console.copy()
+
+    scripts_to_generate = []
+
+    # Special case pip and setuptools to generate versioned wrappers
+    #
+    # The issue is that some projects (specifically, pip and setuptools) use
+    # code in setup.py to create "versioned" entry points - pip2.7 on Python
+    # 2.7, pip3.3 on Python 3.3, etc. But these entry points are baked into
+    # the wheel metadata at build time, and so if the wheel is installed with
+    # a *different* version of Python the entry points will be wrong. The
+    # correct fix for this is to enhance the metadata to be able to describe
+    # such versioned entry points.
+    # Currently, projects using versioned entry points will either have
+    # incorrect versioned entry points, or they will not be able to distribute
+    # "universal" wheels (i.e., they will need a wheel per Python version).
+    #
+    # Because setuptools and pip are bundled with _ensurepip and virtualenv,
+    # we need to use universal wheels. As a workaround, we
+    # override the versioned entry points in the wheel and generate the
+    # correct ones.
+    #
+    # To add the level of hack in this section of code, in order to support
+    # ensurepip this code will look for an ``ENSUREPIP_OPTIONS`` environment
+    # variable which will control which version scripts get installed.
+    #
+    # ENSUREPIP_OPTIONS=altinstall
+    #   - Only pipX.Y and easy_install-X.Y will be generated and installed
+    # ENSUREPIP_OPTIONS=install
+    #   - pipX.Y, pipX, easy_install-X.Y will be generated and installed. Note
+    #     that this option is technically if ENSUREPIP_OPTIONS is set and is
+    #     not altinstall
+    # DEFAULT
+    #   - The default behavior is to install pip, pipX, pipX.Y, easy_install
+    #     and easy_install-X.Y.
+    pip_script = console.pop("pip", None)
+    if pip_script:
+        if "ENSUREPIP_OPTIONS" not in os.environ:
+            scripts_to_generate.append("pip = " + pip_script)
+
+        if os.environ.get("ENSUREPIP_OPTIONS", "") != "altinstall":
+            scripts_to_generate.append(f"pip{sys.version_info[0]} = {pip_script}")
+
+        scripts_to_generate.append(f"pip{get_major_minor_version()} = {pip_script}")
+        # Delete any other versioned pip entry points
+        pip_ep = [k for k in console if re.match(r"pip(\d+(\.\d+)?)?$", k)]
+        for k in pip_ep:
+            del console[k]
+    easy_install_script = console.pop("easy_install", None)
+    if easy_install_script:
+        if "ENSUREPIP_OPTIONS" not in os.environ:
+            scripts_to_generate.append("easy_install = " + easy_install_script)
+
+        scripts_to_generate.append(
+            f"easy_install-{get_major_minor_version()} = {easy_install_script}"
+        )
+        # Delete any other versioned easy_install entry points
+        easy_install_ep = [
+            k for k in console if re.match(r"easy_install(-\d+\.\d+)?$", k)
+        ]
+        for k in easy_install_ep:
+            del console[k]
+
+    # Generate the console entry points specified in the wheel
+    scripts_to_generate.extend(starmap("{} = {}".format, console.items()))
+
+    return scripts_to_generate
+
+
+class ZipBackedFile:
+    def __init__(
+        self, src_record_path: RecordPath, dest_path: str, zip_file: ZipFile
+    ) -> None:
+        self.src_record_path = src_record_path
+        self.dest_path = dest_path
+        self._zip_file = zip_file
+        self.changed = False
+
+    def _getinfo(self) -> ZipInfo:
+        return self._zip_file.getinfo(self.src_record_path)
+
+    def save(self) -> None:
+        # When we open the output file below, any existing file is truncated
+        # before we start writing the new contents. This is fine in most
+        # cases, but can cause a segfault if pip has loaded a shared
+        # object (e.g. from pyopenssl through its vendored urllib3)
+        # Since the shared object is mmap'd an attempt to call a
+        # symbol in it will then cause a segfault. Unlinking the file
+        # allows writing of new contents while allowing the process to
+        # continue to use the old copy.
+        if os.path.exists(self.dest_path):
+            os.unlink(self.dest_path)
+
+        zipinfo = self._getinfo()
+
+        # optimization: the file is created by open(),
+        # skip the decompression when there is 0 bytes to decompress.
+        with open(self.dest_path, "wb") as dest:
+            if zipinfo.file_size > 0:
+                with self._zip_file.open(zipinfo) as f:
+                    blocksize = min(zipinfo.file_size, 1024 * 1024)
+                    shutil.copyfileobj(f, dest, blocksize)
+
+        if zip_item_is_executable(zipinfo):
+            set_extracted_file_to_default_mode_plus_executable(self.dest_path)
+
+
+class ScriptFile:
+    def __init__(self, file: File) -> None:
+        self._file = file
+        self.src_record_path = self._file.src_record_path
+        self.dest_path = self._file.dest_path
+        self.changed = False
+
+    def save(self) -> None:
+        self._file.save()
+        self.changed = fix_script(self.dest_path)
+
+
+class MissingCallableSuffix(InstallationError):
+    def __init__(self, entry_point: str) -> None:
+        super().__init__(
+            f"Invalid script entry point: {entry_point} - A callable "
+            "suffix is required. See https://packaging.python.org/"
+            "specifications/entry-points/#use-for-scripts for more "
+            "information."
+        )
+
+
+def _raise_for_invalid_entrypoint(specification: str, scripts_dir: str) -> None:
+    entry = get_export_entry(specification)
+    if entry is None:
+        return
+
+    if entry.suffix is None:
+        raise MissingCallableSuffix(str(entry))
+
+    # distlib joins the entry point name onto the scripts directory, so a name
+    # with path separators or ``..`` components can resolve elsewhere. The script
+    # must resolve to a path strictly inside the scripts directory.
+    dest = os.path.join(scripts_dir, entry.name)
+    resolves_to_scripts_dir = os.path.abspath(dest) == os.path.abspath(scripts_dir)
+    if resolves_to_scripts_dir or not is_within_directory(scripts_dir, dest):
+        raise InstallationError(
+            f"Invalid script entry point name {entry.name!r}: the script "
+            f"would be installed outside the scripts directory ({scripts_dir})."
+        )
+
+
+class PipScriptMaker(ScriptMaker):
+    # Override distlib's default script template with one that
+    # doesn't import `re` module, allowing scripts to load faster.
+    script_template = textwrap.dedent("""\
+        import sys
+        from %(module)s import %(import_name)s
+        if __name__ == '__main__':
+            sys.argv[0] = sys.argv[0].removesuffix('.exe')
+            sys.exit(%(func)s())
+""")
+
+    def make(
+        self, specification: str, options: dict[str, Any] | None = None
+    ) -> list[str]:
+        _raise_for_invalid_entrypoint(specification, self.target_dir)
+        return super().make(specification, options)
+
+
+def _install_wheel(  # noqa: C901, PLR0915 function is too long
+    name: str,
+    wheel_zip: ZipFile,
+    wheel_path: str,
+    scheme: Scheme,
+    pycompile: bool = True,
+    warn_script_location: bool = True,
+    direct_url: DirectUrl | None = None,
+    requested: bool = False,
+    script_executable: str | None = None,
+) -> None:
+    """Install a wheel.
+
+    :param name: Name of the project to install
+    :param wheel_zip: open ZipFile for wheel being installed
+    :param scheme: Distutils scheme dictating the install directories
+    :param req_description: String used in place of the requirement, for
+        logging
+    :param pycompile: Whether to byte-compile installed Python files
+    :param warn_script_location: Whether to check that scripts are installed
+        into a directory on PATH
+    :param script_executable: Python executable to use for console scripts
+    :raises UnsupportedWheel:
+        * when the directory holds an unpacked wheel with incompatible
+          Wheel-Version
+        * when the .dist-info dir does not match the wheel
+    """
+    info_dir, metadata = parse_wheel(wheel_zip, name)
+
+    if wheel_root_is_purelib(metadata):
+        lib_dir = scheme.purelib
+    else:
+        lib_dir = scheme.platlib
+
+    # Record details of the files moved
+    #   installed = files copied from the wheel to the destination
+    #   changed = files changed while installing (scripts #! line typically)
+    #   generated = files newly generated during the install (script wrappers)
+    installed: dict[RecordPath, RecordPath] = {}
+    changed: set[RecordPath] = set()
+    generated: list[str] = []
+
+    def record_installed(
+        srcfile: RecordPath, destfile: str, modified: bool = False
+    ) -> None:
+        """Map archive RECORD paths to installation RECORD paths."""
+        newpath = _fs_to_record_path(destfile, lib_dir)
+        installed[srcfile] = newpath
+        if modified:
+            changed.add(newpath)
+
+    def is_dir_path(path: RecordPath) -> bool:
+        return path.endswith("/")
+
+    def assert_no_path_traversal(dest_dir_path: str, target_path: str) -> None:
+        if not is_within_directory(dest_dir_path, target_path):
+            message = (
+                "The wheel {!r} has a file {!r} trying to install"
+                " outside the target directory {!r}"
+            )
+            raise InstallationError(
+                message.format(wheel_path, target_path, dest_dir_path)
+            )
+
+    def root_scheme_file_maker(
+        zip_file: ZipFile, dest: str
+    ) -> Callable[[RecordPath], File]:
+        def make_root_scheme_file(record_path: RecordPath) -> File:
+            normed_path = os.path.normpath(record_path)
+            dest_path = os.path.join(dest, normed_path)
+            assert_no_path_traversal(dest, dest_path)
+            return ZipBackedFile(record_path, dest_path, zip_file)
+
+        return make_root_scheme_file
+
+    def data_scheme_file_maker(
+        zip_file: ZipFile, scheme: Scheme
+    ) -> Callable[[RecordPath], File]:
+        scheme_paths = {key: getattr(scheme, key) for key in SCHEME_KEYS}
+
+        def make_data_scheme_file(record_path: RecordPath) -> File:
+            normed_path = os.path.normpath(record_path)
+            try:
+                _, scheme_key, dest_subpath = normed_path.split(os.path.sep, 2)
+            except ValueError:
+                message = (
+                    f"Unexpected file in {wheel_path}: {record_path!r}. .data directory"
+                    " contents should be named like: '/'."
+                )
+                raise InstallationError(message)
+
+            try:
+                scheme_path = scheme_paths[scheme_key]
+            except KeyError:
+                valid_scheme_keys = ", ".join(sorted(scheme_paths))
+                message = (
+                    f"Unknown scheme key used in {wheel_path}: {scheme_key} "
+                    f"(for file {record_path!r}). .data directory contents "
+                    f"should be in subdirectories named with a valid scheme "
+                    f"key ({valid_scheme_keys})"
+                )
+                raise InstallationError(message)
+
+            dest_path = os.path.join(scheme_path, dest_subpath)
+            assert_no_path_traversal(scheme_path, dest_path)
+            return ZipBackedFile(record_path, dest_path, zip_file)
+
+        return make_data_scheme_file
+
+    def is_data_scheme_path(path: RecordPath) -> bool:
+        return path.split("/", 1)[0].endswith(".data")
+
+    paths = cast(list[RecordPath], wheel_zip.namelist())
+    file_paths = filterfalse(is_dir_path, paths)
+    root_scheme_paths, data_scheme_paths = partition(is_data_scheme_path, file_paths)
+
+    make_root_scheme_file = root_scheme_file_maker(wheel_zip, lib_dir)
+    files: Iterator[File] = map(make_root_scheme_file, root_scheme_paths)
+
+    def is_script_scheme_path(path: RecordPath) -> bool:
+        parts = path.split("/", 2)
+        return len(parts) > 2 and parts[0].endswith(".data") and parts[1] == "scripts"
+
+    other_scheme_paths, script_scheme_paths = partition(
+        is_script_scheme_path, data_scheme_paths
+    )
+
+    make_data_scheme_file = data_scheme_file_maker(wheel_zip, scheme)
+    other_scheme_files = map(make_data_scheme_file, other_scheme_paths)
+    files = chain(files, other_scheme_files)
+
+    # Get the defined entry points
+    distribution = get_wheel_distribution(
+        FilesystemWheel(wheel_path),
+        canonicalize_name(name),
+    )
+    console, gui = get_entrypoints(distribution)
+
+    def is_entrypoint_wrapper(file: File) -> bool:
+        # EP, EP.exe and EP-script.py are scripts generated for
+        # entry point EP by setuptools
+        path = file.dest_path
+        name = os.path.basename(path)
+        if name.lower().endswith(".exe"):
+            matchname = name[:-4]
+        elif name.lower().endswith("-script.py"):
+            matchname = name[:-10]
+        elif name.lower().endswith(".pya"):
+            matchname = name[:-4]
+        else:
+            matchname = name
+        # Ignore setuptools-generated scripts
+        return matchname in console or matchname in gui
+
+    script_scheme_files: Iterator[File] = map(
+        make_data_scheme_file, script_scheme_paths
+    )
+    script_scheme_files = filterfalse(is_entrypoint_wrapper, script_scheme_files)
+    script_scheme_files = map(ScriptFile, script_scheme_files)
+    files = chain(files, script_scheme_files)
+
+    existing_parents = set()
+    for file in files:
+        # directory creation is lazy and after file filtering
+        # to ensure we don't install empty dirs; empty dirs can't be
+        # uninstalled.
+        parent_dir = os.path.dirname(file.dest_path)
+        if parent_dir not in existing_parents:
+            ensure_dir(parent_dir)
+            existing_parents.add(parent_dir)
+        file.save()
+        record_installed(file.src_record_path, file.dest_path, file.changed)
+
+    def pyc_source_file_paths() -> Generator[str, None, None]:
+        # We de-duplicate installation paths, since there can be overlap (e.g.
+        # file in .data maps to same location as file in wheel root).
+        # Sorting installation paths makes it easier to reproduce and debug
+        # issues related to permissions on existing files.
+        for installed_path in sorted(set(installed.values())):
+            full_installed_path = os.path.join(lib_dir, installed_path)
+            if not os.path.isfile(full_installed_path):
+                continue
+            if not full_installed_path.endswith(".py"):
+                continue
+            yield full_installed_path
+
+    def pyc_output_path(path: str) -> str:
+        """Return the path the pyc file would have been written to."""
+        return importlib.util.cache_from_source(path)
+
+    # Compile all of the pyc files for the installed files
+    if pycompile:
+        with contextlib.redirect_stdout(
+            StreamWrapper.from_stream(sys.stdout)
+        ) as stdout:
+            with warnings.catch_warnings():
+                warnings.filterwarnings("ignore")
+                for path in pyc_source_file_paths():
+                    success = compileall.compile_file(path, force=True, quiet=True)
+                    if success:
+                        pyc_path = pyc_output_path(path)
+                        assert os.path.exists(pyc_path)
+                        pyc_record_path = cast(
+                            "RecordPath", pyc_path.replace(os.path.sep, "/")
+                        )
+                        record_installed(pyc_record_path, pyc_path)
+        logger.debug(stdout.getvalue())
+
+    maker = PipScriptMaker(None, scheme.scripts)
+
+    # Embed the target environment's interpreter in console-script launchers
+    # rather than the one running pip, so an in-process install into another
+    # environment (e.g. a venv build environment) produces working launchers.
+    if script_executable is not None:
+        maker.executable = script_executable  # type: ignore  # it's untyped in distlib
+
+    # Ensure old scripts are overwritten.
+    # See https://github.com/pypa/pip/issues/1800
+    maker.clobber = True
+
+    # Ensure we don't generate any variants for scripts because this is almost
+    # never what somebody wants.
+    # See https://bitbucket.org/pypa/distlib/issue/35/
+    maker.variants = {""}
+
+    # This is required because otherwise distlib creates scripts that are not
+    # executable.
+    # See https://bitbucket.org/pypa/distlib/issue/32/
+    maker.set_mode = True
+
+    # Generate the console and GUI entry points specified in the wheel
+    scripts_to_generate = get_console_script_specs(console)
+
+    gui_scripts_to_generate = list(starmap("{} = {}".format, gui.items()))
+
+    generated_console_scripts = maker.make_multiple(scripts_to_generate)
+    generated.extend(generated_console_scripts)
+
+    generated.extend(maker.make_multiple(gui_scripts_to_generate, {"gui": True}))
+
+    if warn_script_location:
+        msg = message_about_scripts_not_on_PATH(generated_console_scripts)
+        if msg is not None:
+            logger.warning(msg)
+
+    generated_file_mode = 0o666 & ~current_umask()
+
+    @contextlib.contextmanager
+    def _generate_file(path: str, **kwargs: Any) -> Generator[BinaryIO, None, None]:
+        with adjacent_tmp_file(path, **kwargs) as f:
+            yield f
+        os.chmod(f.name, generated_file_mode)
+        replace(f.name, path)
+
+    dest_info_dir = os.path.join(lib_dir, info_dir)
+
+    # Record pip as the installer
+    installer_path = os.path.join(dest_info_dir, "INSTALLER")
+    with _generate_file(installer_path) as installer_file:
+        installer_file.write(b"pip\n")
+    generated.append(installer_path)
+
+    # Record the PEP 610 direct URL reference
+    if direct_url is not None:
+        direct_url_path = os.path.join(dest_info_dir, DIRECT_URL_METADATA_NAME)
+        with _generate_file(direct_url_path) as direct_url_file:
+            direct_url_file.write(direct_url.to_json().encode("utf-8"))
+        generated.append(direct_url_path)
+
+    # Record the REQUESTED file
+    if requested:
+        requested_path = os.path.join(dest_info_dir, "REQUESTED")
+        with open(requested_path, "wb"):
+            pass
+        generated.append(requested_path)
+
+    record_text = distribution.read_text("RECORD")
+    record_rows = list(csv.reader(record_text.splitlines()))
+
+    rows = get_csv_rows_for_installed(
+        record_rows,
+        installed=installed,
+        changed=changed,
+        generated=generated,
+        lib_dir=lib_dir,
+    )
+
+    # Record details of all files installed
+    record_path = os.path.join(dest_info_dir, "RECORD")
+
+    with _generate_file(record_path, **csv_io_kwargs("w")) as record_file:
+        # Explicitly cast to typing.IO[str] as a workaround for the mypy error:
+        # "writer" has incompatible type "BinaryIO"; expected "_Writer"
+        writer = csv.writer(cast("IO[str]", record_file))
+        writer.writerows(_normalized_outrows(rows))
+
+
+@contextlib.contextmanager
+def req_error_context(req_description: str) -> Generator[None, None, None]:
+    try:
+        yield
+    except InstallationError as e:
+        message = f"For req: {req_description}. {e.args[0]}"
+        raise InstallationError(message) from e
+
+
+def install_wheel(
+    name: str,
+    wheel_path: str,
+    scheme: Scheme,
+    req_description: str,
+    pycompile: bool = True,
+    warn_script_location: bool = True,
+    direct_url: DirectUrl | None = None,
+    requested: bool = False,
+    script_executable: str | None = None,
+) -> None:
+    with ZipFile(wheel_path, allowZip64=True) as z:
+        with req_error_context(req_description):
+            _install_wheel(
+                name=name,
+                wheel_zip=z,
+                wheel_path=wheel_path,
+                scheme=scheme,
+                pycompile=pycompile,
+                warn_script_location=warn_script_location,
+                direct_url=direct_url,
+                requested=requested,
+                script_executable=script_executable,
+            )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/prepare.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/prepare.py
new file mode 100644
index 0000000000000000000000000000000000000000..34a07a18e327c090c37ec02852e7507a795dd48f
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/operations/prepare.py
@@ -0,0 +1,896 @@
+"""Prepares a distribution for installation"""
+
+# The following comment should be removed at some point in the future.
+# mypy: strict-optional=False
+from __future__ import annotations
+
+import mimetypes
+import os
+import shutil
+from collections.abc import Iterable
+from dataclasses import dataclass
+from pathlib import Path
+from typing import TYPE_CHECKING
+
+from pip._vendor.packaging.requirements import InvalidRequirement
+from pip._vendor.packaging.utils import canonicalize_name
+
+from pip._internal.build_env import BuildEnvironmentInstaller, BuildIsolationMode
+from pip._internal.distributions import make_distribution_for_install_requirement
+from pip._internal.distributions.installed import InstalledDistribution
+from pip._internal.exceptions import (
+    DirectoryUrlHashUnsupported,
+    HashMismatch,
+    HashUnpinned,
+    InstallationError,
+    MetadataInconsistent,
+    MetadataInvalid,
+    NetworkConnectionError,
+    SidecarMetadataInconsistent,
+    VcsHashUnsupported,
+)
+from pip._internal.index.package_finder import PackageFinder
+from pip._internal.metadata import BaseDistribution, get_metadata_distribution
+from pip._internal.models.direct_url import ArchiveInfo, DirectUrl
+from pip._internal.models.link import Link, join_within_directory
+from pip._internal.models.wheel import Wheel
+from pip._internal.network.download import Downloader
+from pip._internal.network.lazy_wheel import (
+    HTTPRangeRequestUnsupported,
+    dist_from_wheel_url,
+)
+from pip._internal.network.session import PipSession
+from pip._internal.operations.build.build_tracker import BuildTracker
+from pip._internal.req.req_install import InstallRequirement
+from pip._internal.utils._log import getLogger
+from pip._internal.utils.direct_url_helpers import (
+    direct_url_for_editable,
+    direct_url_from_link,
+)
+from pip._internal.utils.hashes import Hashes, MissingHashes
+from pip._internal.utils.logging import indent_log
+from pip._internal.utils.misc import (
+    display_path,
+    hash_file,
+    hide_url,
+    redact_auth_from_requirement,
+)
+from pip._internal.utils.packaging import get_requirement
+from pip._internal.utils.temp_dir import TempDirectory
+from pip._internal.utils.unpacking import unpack_file
+from pip._internal.vcs import vcs
+
+if TYPE_CHECKING:
+    from pip._internal.cli.progress_bars import BarType
+
+logger = getLogger(__name__)
+
+
+def _get_prepared_distribution(
+    req: InstallRequirement,
+    build_tracker: BuildTracker,
+    build_env_installer: BuildEnvironmentInstaller,
+    build_isolation: BuildIsolationMode,
+    check_build_deps: bool,
+    allow_editables: bool,
+) -> BaseDistribution:
+    """Prepare a distribution for installation."""
+    abstract_dist = make_distribution_for_install_requirement(req)
+    tracker_id = abstract_dist.build_tracker_id
+    if tracker_id is not None:
+        with build_tracker.track(req, tracker_id):
+            abstract_dist.prepare_distribution_metadata(
+                build_env_installer, build_isolation, check_build_deps, allow_editables
+            )
+    return abstract_dist.get_metadata_distribution()
+
+
+def unpack_vcs_link(link: Link, location: str, verbosity: int) -> None:
+    vcs_backend = vcs.get_backend_for_scheme(link.scheme)
+    assert vcs_backend is not None
+    vcs_backend.unpack(location, url=hide_url(link.url), verbosity=verbosity)
+
+
+@dataclass
+class File:
+    path: str
+    content_type: str | None = None
+
+    def __post_init__(self) -> None:
+        if self.content_type is None:
+            # Try to guess the file's MIME type. If the system MIME tables
+            # can't be loaded, give up.
+            try:
+                self.content_type = mimetypes.guess_type(self.path)[0]
+            except OSError:
+                pass
+
+
+def get_http_url(
+    link: Link,
+    download: Downloader,
+    download_dir: str | None = None,
+    hashes: Hashes | None = None,
+) -> File:
+    temp_dir = TempDirectory(kind="unpack", globally_managed=True)
+    # If a download dir is specified, is the file already downloaded there?
+    already_downloaded_path = None
+    if download_dir:
+        already_downloaded_path = _check_download_dir(link, download_dir, hashes)
+
+    if already_downloaded_path:
+        from_path = already_downloaded_path
+        content_type = None
+    else:
+        # let's download to a tmp dir
+        from_path, content_type = download(link, temp_dir.path)
+        if hashes:
+            hashes.check_against_path(from_path)
+
+    return File(from_path, content_type)
+
+
+def get_file_url(
+    link: Link, download_dir: str | None = None, hashes: Hashes | None = None
+) -> File:
+    """Get file and optionally check its hash."""
+    # If a download dir is specified, is the file already there and valid?
+    already_downloaded_path = None
+    if download_dir:
+        already_downloaded_path = _check_download_dir(link, download_dir, hashes)
+
+    if already_downloaded_path:
+        from_path = already_downloaded_path
+    else:
+        from_path = link.file_path
+
+    # If --require-hashes is off, `hashes` is either empty, the
+    # link's embedded hash, or MissingHashes; it is required to
+    # match. If --require-hashes is on, we are satisfied by any
+    # hash in `hashes` matching: a URL-based or an option-based
+    # one; no internet-sourced hash will be in `hashes`.
+    if hashes:
+        hashes.check_against_path(from_path)
+    return File(from_path, None)
+
+
+def unpack_url(
+    link: Link,
+    location: str,
+    download: Downloader,
+    verbosity: int,
+    download_dir: str | None = None,
+    hashes: Hashes | None = None,
+) -> File | None:
+    """Unpack link into location, downloading if required.
+
+    :param hashes: A Hashes object, one of whose embedded hashes must match,
+        or HashMismatch will be raised. If the Hashes is empty, no matches are
+        required, and unhashable types of requirements (like VCS ones, which
+        would ordinarily raise HashUnsupported) are allowed.
+    """
+    # non-editable vcs urls
+    if link.is_vcs:
+        unpack_vcs_link(link, location, verbosity=verbosity)
+        return None
+
+    assert not link.is_existing_dir()
+
+    # file urls
+    if link.is_file:
+        file = get_file_url(link, download_dir, hashes=hashes)
+
+    # http urls
+    else:
+        file = get_http_url(
+            link,
+            download,
+            download_dir,
+            hashes=hashes,
+        )
+
+    # unpack the archive to the build dir location. even when only downloading
+    # archives, they have to be unpacked to parse dependencies, except wheels
+    if not link.is_wheel:
+        unpack_file(file.path, location, file.content_type)
+
+    return file
+
+
+def _check_download_dir(
+    link: Link,
+    download_dir: str,
+    hashes: Hashes | None,
+    warn_on_hash_mismatch: bool = True,
+) -> str | None:
+    """Check download_dir for previously downloaded file with correct hash
+    If a correct file is found return its path else None
+    """
+    download_path = join_within_directory(download_dir, link.filename)
+
+    if not os.path.exists(download_path):
+        return None
+
+    # If already downloaded, does its hash match?
+    logger.info("File was already downloaded %s", download_path)
+    if hashes:
+        try:
+            hashes.check_against_path(download_path)
+        except HashMismatch:
+            if warn_on_hash_mismatch:
+                logger.warning(
+                    "Previously-downloaded file %s has bad hash. Re-downloading.",
+                    download_path,
+                )
+            os.unlink(download_path)
+            return None
+    return download_path
+
+
+def _canonicalize_requirement(raw: str) -> str:
+    """Return a normalized form of a PEP 508 requirement string.
+
+    Used to compare ``Requires-Dist`` entries from two sources of metadata
+    for the same distribution without being confused by superficial
+    differences in name casing, extra casing, or extras ordering. May raise
+    ``InvalidRequirement`` if ``raw`` is not a valid PEP 508 string.
+
+    TODO: once https://github.com/pypa/packaging/pull/1278 is released and
+    vendored, ``Requirement.__eq__`` will canonicalize requested extras and
+    this manual normalization can be dropped in favour of comparing
+    ``Requirement`` objects directly.
+    """
+    parsed = get_requirement(raw)
+    parts: list[str] = [canonicalize_name(parsed.name)]
+    if parsed.extras:
+        normalized_extras = sorted(canonicalize_name(e) for e in parsed.extras)
+        parts.append(f"[{','.join(normalized_extras)}]")
+    if parsed.specifier:
+        parts.append(str(parsed.specifier))
+    if parsed.url:
+        parts.append(f" @ {parsed.url}")
+    if parsed.marker:
+        parts.append(f"; {parsed.marker}")
+    return "".join(parts)
+
+
+def _canonical_requires(
+    req: InstallRequirement, dist: BaseDistribution, source: str
+) -> frozenset[str]:
+    """Return the canonicalized ``Requires-Dist`` entries of ``dist``.
+
+    ``source`` describes which metadata file ``dist`` was parsed from, for
+    use in error messages.
+    """
+    canonical: set[str] = set()
+    for raw in dist.iter_raw_dependencies():
+        try:
+            # strip() because a folded metadata header may be returned
+            # with a leading newline; iter_dependencies() strips for the
+            # same reason.
+            canonical.add(_canonicalize_requirement(raw.strip()))
+        except InvalidRequirement as e:
+            raise MetadataInvalid(req, f"Requires-Dist in {source}: {e}")
+    return frozenset(canonical)
+
+
+def _check_sidecar_matches_wheel(
+    req: InstallRequirement,
+    sidecar_dist: BaseDistribution,
+    wheel_dist: BaseDistribution,
+) -> None:
+    """Check that a .metadata-based distribution matches the wheel's METADATA.
+
+    Compare ``Name``, ``Version``, ``Requires-Dist``, ``Requires-Python``
+    and ``Provides-Extra`` between the two and abort the install on any
+    mismatch as PEP 658 requires the metadata files "MUST be identical".
+
+    While the PEP doesn't mandate that consumers enforce the identical
+    requirement, it's good nonetheless to check to prevent confusing
+    behaviour when an index misbehaves.
+
+    Also note for name and version, pip usually rejects wheels if they're
+    inconsistent already. Checking them again here is purely defensive.
+    """
+
+    sidecar_name = canonicalize_name(sidecar_dist.raw_name)
+    wheel_name = canonicalize_name(wheel_dist.raw_name)
+    if sidecar_name != wheel_name:
+        raise SidecarMetadataInconsistent(req, "Name", sidecar_name, wheel_name)
+
+    if sidecar_dist.version != wheel_dist.version:
+        raise SidecarMetadataInconsistent(
+            req,
+            "Version",
+            str(sidecar_dist.version),
+            str(wheel_dist.version),
+        )
+
+    # For multi-use fields, only report the symmetric difference to avoid
+    # unnecessarily flagging matching values.
+    sidecar_requires = _canonical_requires(
+        req, sidecar_dist, "the PEP 658 .metadata file"
+    )
+    wheel_requires = _canonical_requires(req, wheel_dist, "the wheel's METADATA")
+    if sidecar_requires != wheel_requires:
+        raise SidecarMetadataInconsistent(
+            req,
+            "Requires-Dist",
+            ", ".join(sorted(sidecar_requires - wheel_requires)),
+            ", ".join(sorted(wheel_requires - sidecar_requires)),
+        )
+
+    if sidecar_dist.requires_python != wheel_dist.requires_python:
+        raise SidecarMetadataInconsistent(
+            req,
+            "Requires-Python",
+            str(sidecar_dist.requires_python),
+            str(wheel_dist.requires_python),
+        )
+
+    sidecar_extras = frozenset(sidecar_dist.iter_provided_extras())
+    wheel_extras = frozenset(wheel_dist.iter_provided_extras())
+    if sidecar_extras != wheel_extras:
+        raise SidecarMetadataInconsistent(
+            req,
+            "Provides-Extra",
+            ", ".join(sorted(sidecar_extras - wheel_extras)),
+            ", ".join(sorted(wheel_extras - sidecar_extras)),
+        )
+
+
+class RequirementPreparer:
+    """Prepares a Requirement"""
+
+    def __init__(
+        self,
+        *,
+        build_dir: str,
+        download_dir: str | None,
+        src_dir: str,
+        build_isolation: BuildIsolationMode,
+        build_isolation_installer: BuildEnvironmentInstaller,
+        check_build_deps: bool,
+        build_tracker: BuildTracker,
+        session: PipSession,
+        progress_bar: BarType,
+        finder: PackageFinder,
+        require_hashes: bool,
+        use_user_site: bool,
+        lazy_wheel: bool,
+        verbosity: int,
+        legacy_resolver: bool,
+        allow_editables: bool,
+    ) -> None:
+        super().__init__()
+
+        self.src_dir = src_dir
+        self.build_dir = build_dir
+        self.build_tracker = build_tracker
+        self._session = session
+        self._download = Downloader(session, progress_bar)
+        self.finder = finder
+
+        # Where still-packed archives should be written to. If None, they are
+        # not saved, and are deleted immediately after unpacking.
+        self.download_dir = download_dir
+
+        # Is build isolation allowed?
+        self.build_isolation = build_isolation
+        self.build_env_installer = build_isolation_installer
+
+        # Should check build dependencies?
+        self.check_build_deps = check_build_deps
+
+        # Should hash-checking be required?
+        self.require_hashes = require_hashes
+
+        # Should install in user site-packages?
+        self.use_user_site = use_user_site
+
+        # Should wheels be downloaded lazily?
+        self.use_lazy_wheel = lazy_wheel
+
+        # How verbose should underlying tooling be?
+        self.verbosity = verbosity
+
+        # Are we using the legacy resolver?
+        self.legacy_resolver = legacy_resolver
+
+        # Memoized downloaded files, as mapping of url: path.
+        self._downloaded: dict[str, str] = {}
+
+        # Previous "header" printed for a link-based InstallRequirement
+        self._previous_requirement_header = ("", "")
+
+        # Do we allow preparing editable wheels?
+        # When using pip wheel, editables must still produce regular wheels
+        self.allow_editables = allow_editables
+
+    def _log_preparing_link(self, req: InstallRequirement) -> None:
+        """Provide context for the requirement being prepared."""
+        if req.link.is_file and not req.is_wheel_from_cache:
+            message = "Processing %s"
+            information = str(display_path(req.link.file_path))
+        else:
+            message = "Collecting %s"
+            information = redact_auth_from_requirement(req.req) if req.req else str(req)
+
+        # If we used req.req, inject requirement source if available (this
+        # would already be included if we used req directly)
+        if req.req and req.comes_from:
+            if isinstance(req.comes_from, str):
+                comes_from: str | None = req.comes_from
+            else:
+                comes_from = req.comes_from.from_path()
+            if comes_from:
+                information += f" (from {comes_from})"
+
+        if (message, information) != self._previous_requirement_header:
+            self._previous_requirement_header = (message, information)
+            logger.info(message, information)
+
+        if req.is_wheel_from_cache:
+            with indent_log():
+                logger.info("Using cached %s", req.link.filename)
+
+    def _ensure_link_req_src_dir(
+        self, req: InstallRequirement, parallel_builds: bool
+    ) -> None:
+        """Ensure source_dir of a linked InstallRequirement."""
+        # Since source_dir is only set for editable requirements.
+        if req.link.is_wheel:
+            # We don't need to unpack wheels, so no need for a source
+            # directory.
+            return
+        assert req.source_dir is None
+        if req.link.is_existing_dir():
+            # build local directories in-tree
+            req.source_dir = req.link.file_path
+            return
+
+        # We always delete unpacked sdists after pip runs.
+        req.ensure_has_source_dir(
+            self.build_dir,
+            autodelete=True,
+            parallel_builds=parallel_builds,
+        )
+        req.ensure_pristine_source_checkout()
+
+    def _get_linked_req_hashes(self, req: InstallRequirement) -> Hashes:
+        # By the time this is called, the requirement's link should have
+        # been checked so we can tell what kind of requirements req is
+        # and raise some more informative errors than otherwise.
+        # (For example, we can raise VcsHashUnsupported for a VCS URL
+        # rather than HashMissing.)
+        if not self.require_hashes:
+            return req.hashes(trust_internet=True)
+
+        # We could check these first 2 conditions inside unpack_url
+        # and save repetition of conditions, but then we would
+        # report less-useful error messages for unhashable
+        # requirements, complaining that there's no hash provided.
+        if req.link.is_vcs:
+            raise VcsHashUnsupported()
+        if req.link.is_existing_dir():
+            raise DirectoryUrlHashUnsupported()
+
+        # Unpinned packages are asking for trouble when a new version
+        # is uploaded.  This isn't a security check, but it saves users
+        # a surprising hash mismatch in the future.
+        # file:/// URLs aren't pinnable, so don't complain about them
+        # not being pinned.
+        if not req.is_direct and not req.is_pinned:
+            raise HashUnpinned()
+
+        # If known-good hashes are missing for this requirement,
+        # shim it with a facade object that will provoke hash
+        # computation and then raise a HashMissing exception
+        # showing the user what the hash should be.
+        return req.hashes(trust_internet=False) or MissingHashes()
+
+    def _fetch_metadata_only(
+        self,
+        req: InstallRequirement,
+    ) -> BaseDistribution | None:
+        if self.legacy_resolver:
+            logger.debug(
+                "Metadata-only fetching is not used in the legacy resolver",
+            )
+            return None
+        if self.require_hashes:
+            logger.debug(
+                "Metadata-only fetching is not used as hash checking is required",
+            )
+            return None
+        # Try PEP 658 metadata first, then fall back to lazy wheel if unavailable.
+        return self._fetch_metadata_using_link_data_attr(
+            req
+        ) or self._fetch_metadata_using_lazy_wheel(req.link)
+
+    def _fetch_metadata_using_link_data_attr(
+        self,
+        req: InstallRequirement,
+    ) -> BaseDistribution | None:
+        """Fetch metadata from the data-dist-info-metadata attribute, if possible."""
+        # (1) Get the link to the metadata file, if provided by the backend.
+        metadata_link = req.link.metadata_link()
+        if metadata_link is None:
+            return None
+        assert req.req is not None
+        logger.verbose(
+            "Obtaining dependency information for %s from %s",
+            req.req,
+            metadata_link,
+        )
+        # (2) Download the contents of the METADATA file, separate from the dist itself.
+        metadata_file = get_http_url(
+            metadata_link,
+            self._download,
+            hashes=metadata_link.as_hashes(),
+        )
+        with open(metadata_file.path, "rb") as f:
+            metadata_contents = f.read()
+        # (3) Generate a dist just from those file contents.
+        metadata_dist = get_metadata_distribution(
+            metadata_contents,
+            req.link.filename,
+            req.req.name,
+        )
+        # (4) Ensure the Name: field from the METADATA file matches the name from the
+        #     install requirement.
+        #
+        #     NB: raw_name will fall back to the name from the install requirement if
+        #     the Name: field is not present, but it's noted in the raw_name docstring
+        #     that that should NEVER happen anyway.
+        if canonicalize_name(metadata_dist.raw_name) != canonicalize_name(req.req.name):
+            raise MetadataInconsistent(
+                req, "Name", req.req.name, metadata_dist.raw_name
+            )
+        return metadata_dist
+
+    def _fetch_metadata_using_lazy_wheel(
+        self,
+        link: Link,
+    ) -> BaseDistribution | None:
+        """Fetch metadata using lazy wheel, if possible."""
+        # --use-feature=fast-deps must be provided.
+        if not self.use_lazy_wheel:
+            return None
+        if link.is_file or not link.is_wheel:
+            logger.debug(
+                "Lazy wheel is not used as %r does not point to a remote wheel",
+                link,
+            )
+            return None
+
+        wheel = Wheel(link.filename)
+        name = wheel.name
+        logger.info(
+            "Obtaining dependency information from %s %s",
+            name,
+            wheel.version,
+        )
+        url = link.url.split("#", 1)[0]
+        try:
+            return dist_from_wheel_url(name, url, self._session)
+        except HTTPRangeRequestUnsupported:
+            logger.debug("%s does not support range requests", url)
+            return None
+
+    def _complete_partial_requirements(
+        self,
+        partially_downloaded_reqs: Iterable[InstallRequirement],
+        parallel_builds: bool = False,
+    ) -> None:
+        """Download any requirements which were only fetched by metadata."""
+        # Download to a temporary directory. These will be copied over as
+        # needed for downstream 'download', 'wheel', and 'install' commands.
+        temp_dir = TempDirectory(kind="unpack", globally_managed=True).path
+
+        # Map each link to the requirement that owns it. This allows us to set
+        # `req.local_file_path` on the appropriate requirement after passing
+        # all the links at once into BatchDownloader.
+        links_to_fully_download: dict[Link, InstallRequirement] = {}
+        for req in partially_downloaded_reqs:
+            assert req.link
+            links_to_fully_download[req.link] = req
+
+        batch_download = self._download.batch(links_to_fully_download.keys(), temp_dir)
+        for link, (filepath, _) in batch_download:
+            logger.debug("Downloading link %s to %s", link, filepath)
+            req = links_to_fully_download[link]
+            # Record the downloaded file path so wheel reqs can extract a Distribution
+            # in .get_dist().
+            req.local_file_path = filepath
+            # Record that the file is downloaded so we don't do it again in
+            # _prepare_linked_requirement().
+            self._downloaded[req.link.url] = filepath
+
+            # If this is an sdist, we need to unpack it after downloading, but the
+            # .source_dir won't be set up until we are in _prepare_linked_requirement().
+            # Add the downloaded archive to the install requirement to unpack after
+            # preparing the source dir.
+            if not req.is_wheel:
+                req.needs_unpacked_archive(Path(filepath))
+
+        # This step is necessary to ensure all lazy wheels are processed
+        # successfully by the 'download', 'wheel', and 'install' commands.
+        for req in partially_downloaded_reqs:
+            self._prepare_linked_requirement(req, parallel_builds)
+
+    def prepare_linked_requirement(
+        self, req: InstallRequirement, parallel_builds: bool = False
+    ) -> BaseDistribution:
+        """Prepare a requirement to be obtained from req.link."""
+        assert req.link
+        self._log_preparing_link(req)
+        with indent_log():
+            # Check if the relevant file is already available
+            # in the download directory
+            file_path = None
+            if self.download_dir is not None and req.link.is_wheel:
+                hashes = self._get_linked_req_hashes(req)
+                file_path = _check_download_dir(
+                    req.link,
+                    self.download_dir,
+                    hashes,
+                    # When a locally built wheel has been found in cache, we don't warn
+                    # about re-downloading when the already downloaded wheel hash does
+                    # not match. This is because the hash must be checked against the
+                    # original link, not the cached link. It that case the already
+                    # downloaded file will be removed and re-fetched from cache (which
+                    # implies a hash check against the cache entry's origin.json).
+                    warn_on_hash_mismatch=not req.is_wheel_from_cache,
+                )
+
+            if file_path is not None:
+                # The file is already available, so mark it as downloaded
+                self._downloaded[req.link.url] = file_path
+            else:
+                # The file is not available, attempt to fetch only metadata
+                metadata_dist = self._fetch_metadata_only(req)
+                if metadata_dist is not None:
+                    req.needs_more_preparation = True
+                    req.set_dist(metadata_dist)
+                    # Ensure download_info is available even in dry-run mode
+                    if req.download_info is None:
+                        req.download_info = direct_url_from_link(
+                            req.link, req.source_dir
+                        )
+                    return metadata_dist
+
+            # None of the optimizations worked, fully prepare the requirement
+            return self._prepare_linked_requirement(req, parallel_builds)
+
+    def prepare_linked_requirements_more(
+        self, reqs: Iterable[InstallRequirement], parallel_builds: bool = False
+    ) -> None:
+        """Prepare linked requirements more, if needed."""
+        reqs = [req for req in reqs if req.needs_more_preparation]
+        for req in reqs:
+            # Determine if any of these requirements were already downloaded.
+            if self.download_dir is not None and req.link.is_wheel:
+                hashes = self._get_linked_req_hashes(req)
+                file_path = _check_download_dir(req.link, self.download_dir, hashes)
+                if file_path is not None:
+                    self._downloaded[req.link.url] = file_path
+                    req.needs_more_preparation = False
+
+        # Prepare requirements we found were already downloaded for some
+        # reason. The other downloads will be completed separately.
+        partially_downloaded_reqs: list[InstallRequirement] = []
+        for req in reqs:
+            if req.needs_more_preparation:
+                partially_downloaded_reqs.append(req)
+            else:
+                self._prepare_linked_requirement(req, parallel_builds)
+
+        # TODO: separate this part out from RequirementPreparer when the v1
+        # resolver can be removed!
+        self._complete_partial_requirements(
+            partially_downloaded_reqs,
+            parallel_builds=parallel_builds,
+        )
+
+    def _prepare_linked_requirement(
+        self, req: InstallRequirement, parallel_builds: bool
+    ) -> BaseDistribution:
+        assert req.link
+        link = req.link
+
+        hashes = self._get_linked_req_hashes(req)
+
+        if hashes and req.is_wheel_from_cache:
+            assert req.download_info is not None
+            assert link.is_wheel
+            assert link.is_file
+            # We need to verify hashes, and we have found the requirement in the cache
+            # of locally built wheels.
+            if (
+                req.download_info.archive_info
+                and req.download_info.archive_info.hashes
+                and hashes.has_one_of(req.download_info.archive_info.hashes)
+            ):
+                # At this point we know the requirement was built from a hashable source
+                # artifact, and we verified that the cache entry's hash of the original
+                # artifact matches one of the hashes we expect. We don't verify hashes
+                # against the cached wheel, because the wheel is not the original.
+                hashes = None
+            else:
+                logger.warning(
+                    "The hashes of the source archive found in cache entry "
+                    "don't match, ignoring cached built wheel "
+                    "and re-downloading source."
+                )
+                req.link = req.cached_wheel_source_link
+                link = req.link
+
+        self._ensure_link_req_src_dir(req, parallel_builds)
+
+        if link.is_existing_dir():
+            local_file = None
+        elif link.url not in self._downloaded:
+            try:
+                local_file = unpack_url(
+                    link,
+                    req.source_dir,
+                    self._download,
+                    self.verbosity,
+                    self.download_dir,
+                    hashes,
+                )
+            except NetworkConnectionError as exc:
+                raise InstallationError(
+                    f"Could not install requirement {req} because of HTTP "
+                    f"error {exc} for URL {link}"
+                )
+        else:
+            file_path = self._downloaded[link.url]
+            if hashes:
+                hashes.check_against_path(file_path)
+            local_file = File(file_path, content_type=None)
+
+        # If download_info is set, we got it from the wheel cache.
+        if req.download_info is None:
+            # Editables don't go through this function (see
+            # prepare_editable_requirement).
+            assert not req.editable
+            req.download_info = direct_url_from_link(link, req.source_dir)
+            # Make sure we have a hash in download_info. If we got it as part of the
+            # URL, it will have been verified and we can rely on it. Otherwise we
+            # compute it from the downloaded file.
+            # FIXME: https://github.com/pypa/pip/issues/11943
+            if (
+                req.download_info.archive_info
+                and not req.download_info.archive_info.hashes
+                and local_file
+            ):
+                hash = hash_file(local_file.path)[0].hexdigest()
+                # We populate archive_info.hashes. For backward compatibility,
+                # the legacy hash field will be generated when converting to JSON.
+                req.download_info = DirectUrl(
+                    url=req.download_info.url,
+                    archive_info=ArchiveInfo(hashes={"sha256": hash}),
+                    subdirectory=req.download_info.subdirectory,
+                )
+
+        # For use in later processing,
+        # preserve the file path on the requirement.
+        if local_file:
+            req.local_file_path = local_file.path
+
+        dist = _get_prepared_distribution(
+            req,
+            self.build_tracker,
+            self.build_env_installer,
+            self.build_isolation,
+            self.check_build_deps,
+            self.allow_editables,
+        )
+
+        # If a PEP 658 .metadata file was used, check that fields relevant for
+        # dependency resolution match with the wheel's METADATA file.
+        #
+        # NOTE: PEP 658 also permits .metadata files for source distributions,
+        # but PyPI doesn't serve such files. In addition, an sdist's metadata
+        # is generated at build time and may legitimately differ from what the
+        # index declared, so it's been decided to skip this check for sdists.
+        # This can change later if needed.
+        #
+        # TODO: this is a hack for checking whether a distribution is metadata-
+        # only or not. If/when we refactor distributions to delineate between
+        # metadata-only and concrete distributions, clean this up.
+        if (
+            link.is_wheel
+            and req._distribution is not None
+            and req._distribution is not dist
+            and link.metadata_link() is not None
+        ):
+            _check_sidecar_matches_wheel(req, req._distribution, dist)
+
+        return dist
+
+    def save_linked_requirement(self, req: InstallRequirement) -> None:
+        assert self.download_dir is not None
+        assert req.link is not None
+        link = req.link
+        if link.is_vcs or (link.is_existing_dir() and req.editable):
+            # Make a .zip of the source_dir we already created.
+            req.archive(self.download_dir)
+            return
+
+        if link.is_existing_dir():
+            logger.debug(
+                "Not copying link to destination directory "
+                "since it is a directory: %s",
+                link,
+            )
+            return
+        if req.local_file_path is None:
+            # No distribution was downloaded for this requirement.
+            return
+
+        download_location = join_within_directory(self.download_dir, link.filename)
+        if not os.path.exists(download_location):
+            shutil.copy(req.local_file_path, download_location)
+            download_path = display_path(download_location)
+            logger.info("Saved %s", download_path)
+
+    def prepare_editable_requirement(
+        self,
+        req: InstallRequirement,
+    ) -> BaseDistribution:
+        """Prepare an editable requirement."""
+        assert req.editable, "cannot prepare a non-editable req as editable"
+
+        logger.info("Obtaining %s", req)
+
+        with indent_log():
+            if self.require_hashes:
+                raise InstallationError(
+                    f"The editable requirement {req} cannot be installed when "
+                    "requiring hashes, because there is no single file to "
+                    "hash."
+                )
+            req.ensure_has_source_dir(self.src_dir)
+            req.update_editable()
+            assert req.source_dir
+            req.download_info = direct_url_for_editable(req.unpacked_source_directory)
+
+            dist = _get_prepared_distribution(
+                req,
+                self.build_tracker,
+                self.build_env_installer,
+                self.build_isolation,
+                self.check_build_deps,
+                self.allow_editables,
+            )
+
+            req.check_if_exists(self.use_user_site)
+
+        return dist
+
+    def prepare_installed_requirement(
+        self,
+        req: InstallRequirement,
+        skip_reason: str,
+    ) -> BaseDistribution:
+        """Prepare an already-installed requirement."""
+        assert req.satisfied_by, "req should have been satisfied but isn't"
+        assert skip_reason is not None, (
+            "did not get skip reason skipped but req.satisfied_by "
+            f"is set to {req.satisfied_by}"
+        )
+        logger.info(
+            "Requirement %s: %s (%s)", skip_reason, req, req.satisfied_by.version
+        )
+        with indent_log():
+            if self.require_hashes:
+                logger.debug(
+                    "Since it is already installed, we are trusting this "
+                    "package without checking its hash. To ensure a "
+                    "completely repeatable environment, install into an "
+                    "empty virtualenv."
+                )
+            return InstalledDistribution(req).get_metadata_distribution()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/pyproject.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/pyproject.py
new file mode 100644
index 0000000000000000000000000000000000000000..8c2f7221c93a4fa292795bffa427436c000495ec
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/pyproject.py
@@ -0,0 +1,123 @@
+from __future__ import annotations
+
+import os
+from collections import namedtuple
+from typing import Any
+
+from pip._vendor.packaging.requirements import InvalidRequirement
+
+from pip._internal.exceptions import (
+    InstallationError,
+    InvalidPyProjectBuildRequires,
+    MissingPyProjectBuildRequires,
+)
+from pip._internal.utils.compat import tomllib
+from pip._internal.utils.packaging import get_requirement
+
+
+def _is_list_of_str(obj: Any) -> bool:
+    return isinstance(obj, list) and all(isinstance(item, str) for item in obj)
+
+
+def make_pyproject_path(unpacked_source_directory: str) -> str:
+    return os.path.join(unpacked_source_directory, "pyproject.toml")
+
+
+BuildSystemDetails = namedtuple(
+    "BuildSystemDetails", ["requires", "backend", "check", "backend_path"]
+)
+
+
+def load_pyproject_toml(
+    pyproject_toml: str, setup_py: str, req_name: str
+) -> BuildSystemDetails:
+    """Load the pyproject.toml file.
+
+    Parameters:
+        pyproject_toml - Location of the project's pyproject.toml file
+        setup_py - Location of the project's setup.py file
+        req_name - The name of the requirement we're processing (for
+                   error reporting)
+
+    Returns:
+        None if we should use the legacy code path, otherwise a tuple
+        (
+            requirements from pyproject.toml,
+            name of PEP 517 backend,
+            requirements we should check are installed after setting
+                up the build environment
+            directory paths to import the backend from (backend-path),
+                relative to the project root.
+        )
+    """
+    has_pyproject = os.path.isfile(pyproject_toml)
+    has_setup = os.path.isfile(setup_py)
+
+    if not has_pyproject and not has_setup:
+        raise InstallationError(
+            f"{req_name} does not appear to be a Python project: "
+            f"neither 'setup.py' nor 'pyproject.toml' found."
+        )
+
+    if has_pyproject:
+        with open(pyproject_toml, encoding="utf-8") as f:
+            pp_toml = tomllib.loads(f.read())
+        build_system = pp_toml.get("build-system")
+    else:
+        build_system = None
+
+    if build_system is None:
+        # In the absence of any explicit backend specification, we
+        # assume the setuptools backend that most closely emulates the
+        # traditional direct setup.py execution, and require wheel and
+        # a version of setuptools that supports that backend.
+
+        build_system = {
+            "requires": ["setuptools>=40.8.0"],
+            "build-backend": "setuptools.build_meta:__legacy__",
+        }
+
+    # Ensure that the build-system section in pyproject.toml conforms
+    # to PEP 518.
+
+    # Specifying the build-system table but not the requires key is invalid
+    if "requires" not in build_system:
+        raise MissingPyProjectBuildRequires(package=req_name)
+
+    # Error out if requires is not a list of strings
+    requires = build_system["requires"]
+    if not _is_list_of_str(requires):
+        raise InvalidPyProjectBuildRequires(
+            package=req_name,
+            reason="It is not a list of strings.",
+        )
+
+    # Each requirement must be valid as per PEP 508
+    for requirement in requires:
+        try:
+            get_requirement(requirement)
+        except InvalidRequirement as error:
+            raise InvalidPyProjectBuildRequires(
+                package=req_name,
+                reason=f"It contains an invalid requirement: {requirement!r}",
+            ) from error
+
+    backend = build_system.get("build-backend")
+    backend_path = build_system.get("backend-path", [])
+    check: list[str] = []
+    if backend is None:
+        # If the user didn't specify a backend, we assume they want to use
+        # the setuptools backend. But we can't be sure they have included
+        # a version of setuptools which supplies the backend. So we
+        # make a note to check that this requirement is present once
+        # we have set up the environment.
+        # This is quite a lot of work to check for a very specific case. But
+        # the problem is, that case is potentially quite common - projects that
+        # adopted PEP 518 early for the ability to specify requirements to
+        # execute setup.py, but never considered needing to mention the build
+        # tools themselves. The original PEP 518 code had a similar check (but
+        # implemented in a different way).
+        backend = "setuptools.build_meta:__legacy__"
+        check = ["setuptools>=40.8.0"]
+
+    return BuildSystemDetails(requires, backend, check, backend_path)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..ed2ca30df3b433762180be0e3225ee1f1cbc56c2
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/__init__.py
@@ -0,0 +1,105 @@
+from __future__ import annotations
+
+import collections
+import logging
+from collections.abc import Generator
+from dataclasses import dataclass
+
+from pip._internal.cli.progress_bars import BarType, get_install_progress_renderer
+from pip._internal.utils.logging import indent_log
+
+from .req_file import parse_requirements
+from .req_install import InstallRequirement
+from .req_set import RequirementSet
+
+__all__ = [
+    "RequirementSet",
+    "InstallRequirement",
+    "parse_requirements",
+    "install_given_reqs",
+]
+
+logger = logging.getLogger(__name__)
+
+
+@dataclass(frozen=True)
+class InstallationResult:
+    name: str
+
+
+def _validate_requirements(
+    requirements: list[InstallRequirement],
+) -> Generator[tuple[str, InstallRequirement], None, None]:
+    for req in requirements:
+        assert req.name, f"invalid to-be-installed requirement: {req}"
+        yield req.name, req
+
+
+def install_given_reqs(
+    requirements: list[InstallRequirement],
+    root: str | None,
+    home: str | None,
+    prefix: str | None,
+    warn_script_location: bool,
+    use_user_site: bool,
+    pycompile: bool,
+    progress_bar: BarType,
+    script_executable: str | None = None,
+) -> list[InstallationResult]:
+    """
+    Install everything in the given list.
+
+    (to be called after having downloaded and unpacked the packages)
+    """
+    to_install = collections.OrderedDict(_validate_requirements(requirements))
+
+    if to_install:
+        logger.info(
+            "Installing collected packages: %s",
+            ", ".join(to_install.keys()),
+        )
+
+    installed = []
+
+    show_progress = logger.isEnabledFor(logging.INFO) and len(to_install) > 1
+
+    items = iter(to_install.values())
+    if show_progress:
+        renderer = get_install_progress_renderer(
+            bar_type=progress_bar, total=len(to_install)
+        )
+        items = renderer(items)
+
+    with indent_log():
+        for requirement in items:
+            req_name = requirement.name
+            assert req_name is not None
+            if requirement.should_reinstall:
+                logger.info("Attempting uninstall: %s", req_name)
+                with indent_log():
+                    uninstalled_pathset = requirement.uninstall(auto_confirm=True)
+            else:
+                uninstalled_pathset = None
+
+            try:
+                requirement.install(
+                    root=root,
+                    home=home,
+                    prefix=prefix,
+                    warn_script_location=warn_script_location,
+                    use_user_site=use_user_site,
+                    pycompile=pycompile,
+                    script_executable=script_executable,
+                )
+            except Exception:
+                # if install did not succeed, rollback previous uninstall
+                if uninstalled_pathset and not requirement.install_succeeded:
+                    uninstalled_pathset.rollback()
+                raise
+            else:
+                if uninstalled_pathset and requirement.install_succeeded:
+                    uninstalled_pathset.commit()
+
+            installed.append(InstallationResult(req_name))
+
+    return installed
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/constructors.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/constructors.py
new file mode 100644
index 0000000000000000000000000000000000000000..49158942b72e7e5d5a38915a77d246809af325ce
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/constructors.py
@@ -0,0 +1,662 @@
+"""Backing implementation for InstallRequirement's various constructors
+
+The idea here is that these formed a major chunk of InstallRequirement's size
+so, moving them and support code dedicated to them outside of that class
+helps creates for better understandability for the rest of the code.
+
+These are meant to be used elsewhere within pip to create instances of
+InstallRequirement.
+"""
+
+from __future__ import annotations
+
+import copy
+import logging
+import os
+import re
+from collections.abc import Collection, Mapping
+from dataclasses import dataclass
+
+from pip._vendor.packaging import pylock
+from pip._vendor.packaging.markers import InvalidMarker, Marker
+from pip._vendor.packaging.requirements import InvalidRequirement, Requirement
+from pip._vendor.packaging.utils import parse_sdist_filename, parse_wheel_filename
+
+from pip._internal.exceptions import InstallationError
+from pip._internal.models.index import PyPI, TestPyPI
+from pip._internal.models.link import Link
+from pip._internal.models.wheel import Wheel
+from pip._internal.req.req_file import ParsedRequirement
+from pip._internal.req.req_install import InstallRequirement
+from pip._internal.utils.filetypes import is_archive_file
+from pip._internal.utils.misc import is_installable_dir
+from pip._internal.utils.packaging import get_requirement
+from pip._internal.utils.pylock import (
+    package_archive_requirement_url,
+    package_directory_requirement_url,
+    package_sdist_requirement_url,
+    package_vcs_requirement_url,
+    package_wheel_requirement_url,
+)
+from pip._internal.utils.urls import path_to_url
+from pip._internal.vcs import is_url, vcs
+
+__all__ = [
+    "install_req_from_editable",
+    "install_req_from_line",
+    "parse_editable",
+]
+
+logger = logging.getLogger(__name__)
+
+# All standard version specifier operators
+# https://packaging.python.org/en/latest/specifications/version-specifiers/#id5
+operators = ("~=", "==", "!=", "<=", ">=", "<", ">", "===")
+
+
+def strip_extras(path: str) -> tuple[str, set[str]]:
+    m = re.match(r"^(.+)(\[[^\]]+\])$", path)
+    extras = None
+    if m:
+        path_no_extras = m.group(1).rstrip()
+        extras = m.group(2)
+    else:
+        path_no_extras = path
+
+    return path_no_extras, _convert_extras(extras)
+
+
+def _convert_extras(extras: str | None) -> set[str]:
+    if not extras:
+        return set()
+    return get_requirement("placeholder" + extras.lower()).extras
+
+
+def _set_requirement_extras(req: Requirement, new_extras: set[str]) -> Requirement:
+    """
+    Returns a new requirement based on the given one, with the supplied extras. If the
+    given requirement already has extras those are replaced (or dropped if no new extras
+    are given).
+    """
+    match: re.Match[str] | None = re.fullmatch(
+        # see https://peps.python.org/pep-0508/#complete-grammar
+        r"([\w\t .-]+)(\[[^\]]*\])?(.*)",
+        str(req),
+        flags=re.ASCII,
+    )
+    # ireq.req is a valid requirement so the regex should always match
+    assert (
+        match is not None
+    ), f"regex match on requirement {req} failed, this should never happen"
+    pre: str | None = match.group(1)
+    post: str | None = match.group(3)
+    assert (
+        pre is not None and post is not None
+    ), f"regex group selection for requirement {req} failed, this should never happen"
+    extras: str = "[{}]".format(",".join(sorted(new_extras)) if new_extras else "")
+    return get_requirement(f"{pre}{extras}{post}")
+
+
+def _parse_direct_url_editable(editable_req: str) -> tuple[str | None, str, set[str]]:
+    try:
+        req = Requirement(editable_req)
+    except InvalidRequirement:
+        pass
+    else:
+        if req.url:
+            # Join the marker back into the name part. This will be parsed out
+            # later into a Requirement again.
+            if req.marker:
+                name = f"{req.name} ; {req.marker}"
+            else:
+                name = req.name
+            return (name, req.url, req.extras)
+
+    raise ValueError
+
+
+def _parse_pip_syntax_editable(editable_req: str) -> tuple[str | None, str, set[str]]:
+    url = editable_req
+
+    # If a file path is specified with extras, strip off the extras.
+    url_no_extras, extras = strip_extras(url)
+
+    if os.path.isdir(url_no_extras):
+        # Treating it as code that has already been checked out
+        url_no_extras = path_to_url(url_no_extras)
+
+    if url_no_extras.lower().startswith("file:"):
+        package_name = Link(url_no_extras).egg_fragment
+        return (package_name, url_no_extras, extras)
+
+    for version_control in vcs:
+        if url.lower().startswith(f"{version_control}:"):
+            url = f"{version_control}+{url}"
+            break
+
+    return Link(url).egg_fragment, url, set()
+
+
+def parse_editable(editable_req: str) -> tuple[str | None, str, set[str]]:
+    """Parses an editable requirement into:
+        - a requirement name with environment markers
+        - an URL
+        - extras
+    Accepted requirements:
+        - svn+http://blahblah@rev#egg=Foobar[baz]&subdirectory=version_subdir
+        - local_path[some_extra]
+        - Foobar[extra] @ svn+http://blahblah@rev#subdirectory=subdir ; markers
+    """
+    try:
+        package_name, url, extras = _parse_direct_url_editable(editable_req)
+    except ValueError:
+        package_name, url, extras = _parse_pip_syntax_editable(editable_req)
+
+    link = Link(url)
+
+    if not link.is_vcs and not link.url.startswith("file:"):
+        backends = ", ".join(vcs.all_schemes)
+        raise InstallationError(
+            f"{editable_req} is not a valid editable requirement. "
+            f"It should either be a path to a local project or a VCS URL "
+            f"(beginning with {backends})."
+        )
+
+    # The project name can be inferred from local file URIs easily.
+    if not package_name and not link.url.startswith("file:"):
+        raise InstallationError(
+            f"Could not detect requirement name for '{editable_req}', "
+            "please specify one with your_package_name @ URL"
+        )
+    return package_name, url, extras
+
+
+def check_first_requirement_in_file(filename: str) -> None:
+    """Check if file is parsable as a requirements file.
+
+    This is heavily based on ``pkg_resources.parse_requirements``, but
+    simplified to just check the first meaningful line.
+
+    :raises InvalidRequirement: If the first meaningful line cannot be parsed
+        as an requirement.
+    """
+    with open(filename, encoding="utf-8", errors="ignore") as f:
+        # Create a steppable iterator, so we can handle \-continuations.
+        lines = (
+            line
+            for line in (line.strip() for line in f)
+            if line and not line.startswith("#")  # Skip blank lines/comments.
+        )
+
+        for line in lines:
+            # Drop comments -- a hash without a space may be in a URL.
+            if " #" in line:
+                line = line[: line.find(" #")]
+            # If there is a line continuation, drop it, and append the next line.
+            if line.endswith("\\"):
+                line = line[:-2].strip() + next(lines, "")
+            get_requirement(line)
+            return
+
+
+def deduce_helpful_msg(req: str) -> str:
+    """Returns helpful msg in case requirements file does not exist,
+    or cannot be parsed.
+
+    :params req: Requirements file path
+    """
+    if not os.path.exists(req):
+        return f" File '{req}' does not exist."
+    msg = " The path does exist. "
+    # Try to parse and check if it is a requirements file.
+    try:
+        check_first_requirement_in_file(req)
+    except InvalidRequirement:
+        logger.debug("Cannot parse '%s' as requirements file", req)
+    else:
+        msg += (
+            f"The argument you provided "
+            f"({req}) appears to be a"
+            f" requirements file. If that is the"
+            f" case, use the '-r' flag to install"
+            f" the packages specified within it."
+        )
+    return msg
+
+
+@dataclass(frozen=True)
+class RequirementParts:
+    requirement: Requirement | None
+    link: Link | None
+    markers: Marker | None
+    extras: set[str]
+
+
+def parse_req_from_editable(editable_req: str) -> RequirementParts:
+    name, url, extras_override = parse_editable(editable_req)
+
+    if name is not None:
+        try:
+            req: Requirement | None = get_requirement(name)
+        except InvalidRequirement as exc:
+            raise InstallationError(f"Invalid requirement: {name!r}: {exc}")
+    else:
+        req = None
+
+    link = Link(url)
+
+    return RequirementParts(req, link, None, extras_override)
+
+
+# ---- The actual constructors follow ----
+
+
+def install_req_from_editable(
+    editable_req: str,
+    comes_from: InstallRequirement | str | None = None,
+    *,
+    isolated: bool = False,
+    hash_options: dict[str, list[str]] | None = None,
+    constraint: bool = False,
+    user_supplied: bool = False,
+    config_settings: dict[str, str | list[str]] | None = None,
+) -> InstallRequirement:
+    if constraint:
+        raise InstallationError("Editable requirements are not allowed as constraints")
+
+    parts = parse_req_from_editable(editable_req)
+    return InstallRequirement(
+        parts.requirement,
+        comes_from=comes_from,
+        user_supplied=user_supplied,
+        editable=True,
+        link=parts.link,
+        constraint=constraint,
+        isolated=isolated,
+        hash_options=hash_options,
+        config_settings=config_settings,
+        extras=parts.extras,
+    )
+
+
+def _looks_like_path(name: str) -> bool:
+    """Checks whether the string "looks like" a path on the filesystem.
+
+    This does not check whether the target actually exists, only judge from the
+    appearance.
+
+    Returns true if any of the following conditions is true:
+    * a path separator is found (either os.path.sep or os.path.altsep);
+    * a dot is found (which represents the current directory).
+    """
+    if os.path.sep in name:
+        return True
+    if os.path.altsep is not None and os.path.altsep in name:
+        return True
+    if name.startswith("."):
+        return True
+    return False
+
+
+def _get_url_from_path(path: str, name: str) -> str | None:
+    """
+    First, it checks whether a provided path is an installable directory. If it
+    is, returns the path.
+
+    If false, check if the path is an archive file (such as a .whl).
+    The function checks if the path is a file. If false, if the path has
+    an @, it will treat it as a PEP 440 URL requirement and return the path.
+    """
+    if _looks_like_path(name) and os.path.isdir(path):
+        if is_installable_dir(path):
+            return path_to_url(path)
+        # TODO: The is_installable_dir test here might not be necessary
+        #       now that it is done in load_pyproject_toml too.
+        raise InstallationError(
+            f"Directory {name!r} is not installable. Neither 'setup.py' "
+            "nor 'pyproject.toml' found."
+        )
+    if not is_archive_file(path):
+        return None
+    if os.path.isfile(path):
+        return path_to_url(path)
+    urlreq_parts = name.split("@", 1)
+    if len(urlreq_parts) >= 2 and not _looks_like_path(urlreq_parts[0]):
+        # If the path contains '@' and the part before it does not look
+        # like a path, try to treat it as a PEP 440 URL req instead.
+        return None
+    logger.warning(
+        "Requirement %r looks like a filename, but the file does not exist",
+        name,
+    )
+    return path_to_url(path)
+
+
+def parse_req_from_line(name: str, line_source: str | None) -> RequirementParts:
+    if is_url(name):
+        marker_sep = "; "
+    else:
+        marker_sep = ";"
+    if marker_sep in name:
+        name, markers_as_string = name.split(marker_sep, 1)
+        markers_as_string = markers_as_string.strip()
+        if not markers_as_string:
+            markers = None
+        else:
+            try:
+                markers = Marker(markers_as_string)
+            except InvalidMarker as exc:
+                raise InstallationError(f"Invalid requirement: {name.strip()!r}: {exc}")
+    else:
+        markers = None
+    name = name.strip()
+    req_as_string = None
+    path = os.path.normpath(os.path.abspath(name))
+    link = None
+
+    if is_url(name):
+        link = Link(name)
+        extras: set[str] = set()
+    else:
+        p, extras = strip_extras(path)
+        url = _get_url_from_path(p, name)
+        if url is not None:
+            link = Link(url)
+
+    # it's a local file, dir, or url
+    if link:
+        # Handle relative file URLs
+        if link.scheme == "file" and re.search(r"\.\./", link.url):
+            link = Link(path_to_url(os.path.normpath(os.path.abspath(link.path))))
+        # wheel file
+        if link.is_wheel:
+            wheel = Wheel(link.filename)  # can raise InvalidWheelFilename
+            req_as_string = f"{wheel.name}=={wheel.version}"
+        else:
+            # set the req to the egg fragment.  when it's not there, this
+            # will become an 'unnamed' requirement
+            req_as_string = link.egg_fragment
+
+    # a requirement specifier
+    else:
+        req_as_string = name
+
+    def with_source(text: str) -> str:
+        if not line_source:
+            return text
+        return f"{text} (from {line_source})"
+
+    def _parse_req_string(req_as_string: str) -> Requirement:
+        try:
+            return get_requirement(req_as_string)
+        except InvalidRequirement as exc:
+            if os.path.sep in req_as_string:
+                add_msg = "It looks like a path."
+                add_msg += deduce_helpful_msg(req_as_string)
+            elif "=" in req_as_string and not any(
+                op in req_as_string for op in operators
+            ):
+                add_msg = "= is not a valid operator. Did you mean == ?"
+            else:
+                add_msg = ""
+            msg = with_source(f"Invalid requirement: {req_as_string!r}: {exc}")
+            if add_msg:
+                msg += f"\nHint: {add_msg}"
+            raise InstallationError(msg)
+
+    if req_as_string is not None:
+        req: Requirement | None = _parse_req_string(req_as_string)
+    else:
+        req = None
+
+    return RequirementParts(req, link, markers, extras)
+
+
+def install_req_from_line(
+    name: str,
+    comes_from: str | InstallRequirement | None = None,
+    *,
+    isolated: bool = False,
+    hash_options: dict[str, list[str]] | None = None,
+    constraint: bool = False,
+    line_source: str | None = None,
+    user_supplied: bool = False,
+    config_settings: dict[str, str | list[str]] | None = None,
+) -> InstallRequirement:
+    """Creates an InstallRequirement from a name, which might be a
+    requirement, directory containing 'setup.py', filename, or URL.
+
+    :param line_source: An optional string describing where the line is from,
+        for logging purposes in case of an error.
+    """
+    parts = parse_req_from_line(name, line_source)
+
+    return InstallRequirement(
+        parts.requirement,
+        comes_from,
+        link=parts.link,
+        markers=parts.markers,
+        isolated=isolated,
+        hash_options=hash_options,
+        config_settings=config_settings,
+        constraint=constraint,
+        extras=parts.extras,
+        user_supplied=user_supplied,
+    )
+
+
+def install_req_from_req_string(
+    req_string: str,
+    comes_from: InstallRequirement | None = None,
+    isolated: bool = False,
+    user_supplied: bool = False,
+) -> InstallRequirement:
+    try:
+        req = get_requirement(req_string)
+    except InvalidRequirement as exc:
+        raise InstallationError(f"Invalid requirement: {req_string!r}: {exc}")
+
+    domains_not_allowed = [
+        PyPI.file_storage_domain,
+        TestPyPI.file_storage_domain,
+    ]
+    if (
+        req.url
+        and comes_from
+        and comes_from.link
+        and comes_from.link.netloc in domains_not_allowed
+    ):
+        # Explicitly disallow pypi packages that depend on external urls
+        raise InstallationError(
+            "Packages installed from PyPI cannot depend on packages "
+            "which are not also hosted on PyPI.\n"
+            f"{comes_from.name} depends on {req} "
+        )
+
+    return InstallRequirement(
+        req,
+        comes_from,
+        isolated=isolated,
+        user_supplied=user_supplied,
+    )
+
+
+def install_req_from_parsed_requirement(
+    parsed_req: ParsedRequirement,
+    isolated: bool = False,
+    user_supplied: bool = False,
+    config_settings: dict[str, str | list[str]] | None = None,
+) -> InstallRequirement:
+    if parsed_req.is_editable:
+        req = install_req_from_editable(
+            parsed_req.requirement,
+            comes_from=parsed_req.comes_from,
+            constraint=parsed_req.constraint,
+            isolated=isolated,
+            user_supplied=user_supplied,
+            config_settings=config_settings,
+        )
+
+    else:
+        req = install_req_from_line(
+            parsed_req.requirement,
+            comes_from=parsed_req.comes_from,
+            isolated=isolated,
+            hash_options=(
+                parsed_req.options.get("hashes", {}) if parsed_req.options else {}
+            ),
+            constraint=parsed_req.constraint,
+            line_source=parsed_req.line_source,
+            user_supplied=user_supplied,
+            config_settings=config_settings,
+        )
+    return req
+
+
+def install_req_from_link_and_ireq(
+    link: Link, ireq: InstallRequirement
+) -> InstallRequirement:
+    return InstallRequirement(
+        req=ireq.req,
+        comes_from=ireq.comes_from,
+        editable=ireq.editable,
+        link=link,
+        markers=ireq.markers,
+        isolated=ireq.isolated,
+        hash_options=ireq.hash_options,
+        config_settings=ireq.config_settings,
+        user_supplied=ireq.user_supplied,
+    )
+
+
+def install_req_drop_extras(ireq: InstallRequirement) -> InstallRequirement:
+    """
+    Creates a new InstallationRequirement using the given template but without
+    any extras. Sets the original requirement as the new one's parent
+    (comes_from).
+    """
+    return InstallRequirement(
+        req=(
+            _set_requirement_extras(ireq.req, set()) if ireq.req is not None else None
+        ),
+        comes_from=ireq,
+        editable=ireq.editable,
+        link=ireq.link,
+        markers=ireq.markers,
+        isolated=ireq.isolated,
+        hash_options=ireq.hash_options,
+        constraint=ireq.constraint,
+        extras=[],
+        config_settings=ireq.config_settings,
+        user_supplied=ireq.user_supplied,
+    )
+
+
+def install_req_extend_extras(
+    ireq: InstallRequirement,
+    extras: Collection[str],
+) -> InstallRequirement:
+    """
+    Returns a copy of an installation requirement with some additional extras.
+    Makes a shallow copy of the ireq object.
+    """
+    result = copy.copy(ireq)
+    result.extras = {*ireq.extras, *extras}
+    result.req = (
+        _set_requirement_extras(ireq.req, result.extras)
+        if ireq.req is not None
+        else None
+    )
+    return result
+
+
+def _pylock_hashes_to_hash_options(hashes: Mapping[str, str]) -> dict[str, list[str]]:
+    return {k: [v] for k, v in hashes.items()}
+
+
+def install_req_from_pylock_package(
+    package: pylock.Package,
+    package_dist: (
+        pylock.PackageVcs
+        | pylock.PackageArchive
+        | pylock.PackageDirectory
+        | pylock.PackageSdist
+        | pylock.PackageWheel
+    ),
+    pylock_path_or_url: str,
+    user_supplied: bool,
+) -> tuple[InstallRequirement, Link | None]:
+    """Construct an InstallRequirement from a pylock package and artifact.
+
+    If the artifact is a Sdist or Wheel, also return a locked Link which
+    is meant to override candidates from indexes or --find-links.
+    """
+    # TODO: validate file size
+    if isinstance(package_dist, pylock.PackageVcs):
+        req_url = package_vcs_requirement_url(pylock_path_or_url, package_dist)
+        return (
+            InstallRequirement(
+                req=Requirement(f"{package.name} @ {req_url}"),
+                comes_from=pylock_path_or_url,
+                user_supplied=user_supplied,
+            ),
+            None,
+        )
+    elif isinstance(package_dist, pylock.PackageArchive):
+        req_url = package_archive_requirement_url(pylock_path_or_url, package_dist)
+        return (
+            InstallRequirement(
+                req=Requirement(f"{package.name} @ {req_url}"),
+                comes_from=pylock_path_or_url,
+                hash_options=_pylock_hashes_to_hash_options(package_dist.hashes),
+                user_supplied=user_supplied,
+            ),
+            None,
+        )
+    elif isinstance(package_dist, pylock.PackageDirectory):
+        req_url = package_directory_requirement_url(pylock_path_or_url, package_dist)
+        if package_dist.editable:
+            return (
+                install_req_from_editable(
+                    req_url,
+                    comes_from=pylock_path_or_url,
+                    user_supplied=user_supplied,
+                ),
+                None,
+            )
+        else:
+            return (
+                install_req_from_line(
+                    req_url,
+                    comes_from=pylock_path_or_url,
+                    user_supplied=user_supplied,
+                ),
+                None,
+            )
+    else:
+        # wheel or sdist
+        version = package.version
+        if isinstance(package_dist, pylock.PackageWheel):
+            if not version:
+                _, version, _, _ = parse_wheel_filename(package_dist.filename)
+            requirement_url = package_wheel_requirement_url(
+                pylock_path_or_url, package_dist
+            )
+        elif isinstance(package_dist, pylock.PackageSdist):
+            if not version:
+                _, version = parse_sdist_filename(package_dist.filename)
+            requirement_url = package_sdist_requirement_url(
+                pylock_path_or_url, package_dist
+            )
+        ireq = InstallRequirement(
+            req=Requirement(f"{package.name}=={version}"),
+            comes_from=pylock_path_or_url,
+            hash_options=_pylock_hashes_to_hash_options(package_dist.hashes),
+            user_supplied=user_supplied,
+        )
+        locked_link = Link(
+            requirement_url,
+            comes_from=pylock_path_or_url,
+            upload_time=package_dist.upload_time,
+        )
+        return ireq, locked_link
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/pep723.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/pep723.py
new file mode 100644
index 0000000000000000000000000000000000000000..2e0c1b970ee16e3721fcbde3dfa4f7dfbb00a931
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/pep723.py
@@ -0,0 +1,41 @@
+import re
+from typing import Any
+
+from pip._internal.utils.compat import tomllib
+
+REGEX = r"(?m)^# /// (?P[a-zA-Z0-9-]+)$\s(?P(^#(| .*)$\s)+)^# ///$"
+
+
+class PEP723Exception(ValueError):
+    """Raised to indicate a problem when parsing PEP 723 metadata from a script"""
+
+    def __init__(self, msg: str) -> None:
+        self.msg = msg
+
+
+def pep723_metadata(scriptfile: str) -> dict[str, Any]:
+    with open(scriptfile, encoding="utf8") as f:
+        script = f.read()
+
+    name = "script"
+    matches = list(
+        filter(lambda m: m.group("type") == name, re.finditer(REGEX, script))
+    )
+
+    if len(matches) > 1:
+        raise PEP723Exception(f"Multiple {name!r} blocks found in {scriptfile!r}")
+    elif len(matches) == 1:
+        content = "".join(
+            line[2:] if line.startswith("# ") else line[1:]
+            for line in matches[0].group("content").splitlines(keepends=True)
+        )
+        try:
+            metadata = tomllib.loads(content)
+        except Exception as exc:
+            raise PEP723Exception(f"Failed to parse TOML in {scriptfile!r}") from exc
+    else:
+        raise PEP723Exception(
+            f"File does not contain {name!r} metadata: {scriptfile!r}"
+        )
+
+    return metadata
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_dependency_group.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_dependency_group.py
new file mode 100644
index 0000000000000000000000000000000000000000..eb9d80248af412212b47d302e51de2f070f05d05
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_dependency_group.py
@@ -0,0 +1,86 @@
+from collections.abc import Iterable, Iterator
+from typing import Any
+
+from pip._vendor.packaging.dependency_groups import DependencyGroupResolver
+from pip._vendor.packaging.errors import ExceptionGroup
+
+from pip._internal.exceptions import InstallationError
+from pip._internal.utils.compat import tomllib
+
+
+def parse_dependency_groups(groups: list[tuple[str, str]]) -> list[str]:
+    """
+    Parse dependency groups data as provided via the CLI, in a `[path:]group` syntax.
+
+    Raises InstallationErrors if anything goes wrong.
+    """
+    resolvers = _build_resolvers(path for (path, _) in groups)
+    return list(_resolve_all_groups(resolvers, groups))
+
+
+def _resolve_all_groups(
+    resolvers: dict[str, DependencyGroupResolver], groups: list[tuple[str, str]]
+) -> Iterator[str]:
+    """
+    Run all resolution, converting any error from `DependencyGroupResolver` into
+    an InstallationError.
+    """
+    for path, groupname in groups:
+        resolver = resolvers[path]
+        try:
+            yield from (str(req) for req in resolver.resolve(groupname))
+        except ExceptionGroup as eg:
+            # Convert ExceptionGroup to a single InstallationError with all messages
+            messages = [str(e) for e in eg.exceptions]
+            raise InstallationError(
+                f"[dependency-groups] resolution failed for '{groupname}' "
+                f"from '{path}': {'; '.join(messages)}"
+            ) from eg
+
+
+def _build_resolvers(paths: Iterable[str]) -> dict[str, Any]:
+    resolvers = {}
+    for path in paths:
+        if path in resolvers:
+            continue
+
+        pyproject = _load_pyproject(path)
+        if "dependency-groups" not in pyproject:
+            raise InstallationError(
+                f"[dependency-groups] table was missing from '{path}'. "
+                "Cannot resolve '--group' option."
+            )
+        raw_dependency_groups = pyproject["dependency-groups"]
+        if not isinstance(raw_dependency_groups, dict):
+            raise InstallationError(
+                f"[dependency-groups] table was malformed in {path}. "
+                "Cannot resolve '--group' option."
+            )
+
+        try:
+            resolvers[path] = DependencyGroupResolver(raw_dependency_groups)
+        except ExceptionGroup as eg:
+            # Handle ExceptionGroup from resolver initialization
+            messages = [str(e) for e in eg.exceptions]
+            raise InstallationError(
+                f"[dependency-groups] data was invalid in {path}: {'; '.join(messages)}"
+            ) from eg
+
+    return resolvers
+
+
+def _load_pyproject(path: str) -> dict[str, Any]:
+    """
+    This helper loads a pyproject.toml as TOML.
+
+    It raises an InstallationError if the operation fails.
+    """
+    try:
+        with open(path, "rb") as fp:
+            return tomllib.load(fp)
+    except FileNotFoundError:
+        raise InstallationError(f"{path} not found. Cannot resolve '--group' option.")
+    except tomllib.TOMLDecodeError as e:
+        raise InstallationError(f"Error parsing {path}: {e}") from e
+    except OSError as e:
+        raise InstallationError(f"Error reading {path}: {e}") from e
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_file.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_file.py
new file mode 100644
index 0000000000000000000000000000000000000000..400bb86644244695c6dbf0c5c80f8315e12125e7
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_file.py
@@ -0,0 +1,622 @@
+"""
+Requirements file parsing
+"""
+
+from __future__ import annotations
+
+import codecs
+import logging
+import optparse
+import os
+import re
+import shlex
+import sys
+import urllib.parse
+from collections.abc import Callable, Generator, Iterable
+from dataclasses import dataclass
+from optparse import Values
+from typing import (
+    TYPE_CHECKING,
+    Any,
+    NoReturn,
+)
+
+from pip._internal.cli import cmdoptions
+from pip._internal.exceptions import InstallationError, RequirementsFileParseError
+from pip._internal.models.release_control import ReleaseControl
+from pip._internal.models.search_scope import SearchScope
+from pip._internal.utils.compat import get_locale_encoding
+
+if TYPE_CHECKING:
+    from pip._internal.index.package_finder import PackageFinder
+    from pip._internal.network.session import PipSession
+
+__all__ = ["parse_requirements"]
+
+ReqFileLines = Iterable[tuple[int, str]]
+
+LineParser = Callable[[str], tuple[str, Values]]
+
+SCHEME_RE = re.compile(r"^(http|https|file):", re.I)
+COMMENT_RE = re.compile(r"(^|\s+)#.*$")
+
+# Matches environment variable-style values in '${MY_VARIABLE_1}' with the
+# variable name consisting of only uppercase letters, digits or the '_'
+# (underscore). This follows the POSIX standard defined in IEEE Std 1003.1,
+# 2013 Edition.
+ENV_VAR_RE = re.compile(r"(?P\$\{(?P[A-Z0-9_]+)\})")
+
+SUPPORTED_OPTIONS: list[Callable[..., optparse.Option]] = [
+    cmdoptions.index_url,
+    cmdoptions.extra_index_url,
+    cmdoptions.no_index,
+    cmdoptions.constraints,
+    cmdoptions.requirements,
+    cmdoptions.editable,
+    cmdoptions.find_links,
+    cmdoptions.no_binary,
+    cmdoptions.only_binary,
+    cmdoptions.prefer_binary,
+    cmdoptions.require_hashes,
+    cmdoptions.no_require_hashes,
+    cmdoptions.pre,
+    cmdoptions.all_releases,
+    cmdoptions.only_final,
+    cmdoptions.trusted_host,
+    cmdoptions.use_new_feature,
+]
+
+# options to be passed to requirements
+SUPPORTED_OPTIONS_REQ: list[Callable[..., optparse.Option]] = [
+    cmdoptions.hash,
+    cmdoptions.config_settings,
+]
+
+SUPPORTED_OPTIONS_EDITABLE_REQ: list[Callable[..., optparse.Option]] = [
+    cmdoptions.config_settings,
+]
+
+
+# the 'dest' string values
+SUPPORTED_OPTIONS_REQ_DEST = [str(o().dest) for o in SUPPORTED_OPTIONS_REQ]
+SUPPORTED_OPTIONS_EDITABLE_REQ_DEST = [
+    str(o().dest) for o in SUPPORTED_OPTIONS_EDITABLE_REQ
+]
+
+# order of BOMS is important: codecs.BOM_UTF16_LE is a prefix of codecs.BOM_UTF32_LE
+# so data.startswith(BOM_UTF16_LE) would be true for UTF32_LE data
+BOMS: list[tuple[bytes, str]] = [
+    (codecs.BOM_UTF8, "utf-8"),
+    (codecs.BOM_UTF32, "utf-32"),
+    (codecs.BOM_UTF32_BE, "utf-32-be"),
+    (codecs.BOM_UTF32_LE, "utf-32-le"),
+    (codecs.BOM_UTF16, "utf-16"),
+    (codecs.BOM_UTF16_BE, "utf-16-be"),
+    (codecs.BOM_UTF16_LE, "utf-16-le"),
+]
+
+PEP263_ENCODING_RE = re.compile(rb"coding[:=]\s*([-\w.]+)")
+DEFAULT_ENCODING = "utf-8"
+
+logger = logging.getLogger(__name__)
+
+
+@dataclass(frozen=True, slots=True)
+class ParsedRequirement:
+    requirement: str
+    is_editable: bool
+    comes_from: str
+    constraint: bool
+    options: dict[str, Any] | None
+    line_source: str | None
+
+
+@dataclass(frozen=True, slots=True)
+class ParsedLine:
+    filename: str
+    lineno: int
+    args: str
+    opts: Values
+    constraint: bool
+
+    @property
+    def is_editable(self) -> bool:
+        return bool(self.opts.editables)
+
+    @property
+    def requirement(self) -> str | None:
+        if self.args:
+            return self.args
+        elif self.is_editable:
+            # We don't support multiple -e on one line
+            return self.opts.editables[0]
+        return None
+
+
+def parse_requirements(
+    filename: str,
+    session: PipSession,
+    finder: PackageFinder | None = None,
+    options: optparse.Values | None = None,
+    constraint: bool = False,
+) -> Generator[ParsedRequirement, None, None]:
+    """Parse a requirements file and yield ParsedRequirement instances.
+
+    :param filename:    Path or url of requirements file.
+    :param session:     PipSession instance.
+    :param finder:      Instance of pip.index.PackageFinder.
+    :param options:     cli options.
+    :param constraint:  If true, parsing a constraint file rather than
+        requirements file.
+    """
+    line_parser = get_line_parser(finder)
+    parser = RequirementsFileParser(session, line_parser)
+
+    for parsed_line in parser.parse(filename, constraint):
+        parsed_req = handle_line(
+            parsed_line, options=options, finder=finder, session=session
+        )
+        if parsed_req is not None:
+            yield parsed_req
+
+
+def preprocess(content: str) -> ReqFileLines:
+    """Split, filter, and join lines, and return a line iterator
+
+    :param content: the content of the requirements file
+    """
+    lines_enum: ReqFileLines = enumerate(content.splitlines(), start=1)
+    lines_enum = join_lines(lines_enum)
+    lines_enum = ignore_comments(lines_enum)
+    lines_enum = expand_env_variables(lines_enum)
+    return lines_enum
+
+
+def handle_requirement_line(
+    line: ParsedLine,
+    options: optparse.Values | None = None,
+) -> ParsedRequirement:
+    # preserve for the nested code path
+    line_comes_from = "{} {} (line {})".format(
+        "-c" if line.constraint else "-r",
+        line.filename,
+        line.lineno,
+    )
+
+    assert line.requirement is not None
+
+    # get the options that apply to requirements
+    if line.is_editable:
+        supported_dest = SUPPORTED_OPTIONS_EDITABLE_REQ_DEST
+    else:
+        supported_dest = SUPPORTED_OPTIONS_REQ_DEST
+    req_options = {}
+    for dest in supported_dest:
+        if dest in line.opts.__dict__ and line.opts.__dict__[dest]:
+            req_options[dest] = line.opts.__dict__[dest]
+
+    line_source = f"line {line.lineno} of {line.filename}"
+    return ParsedRequirement(
+        requirement=line.requirement,
+        is_editable=line.is_editable,
+        comes_from=line_comes_from,
+        constraint=line.constraint,
+        options=req_options,
+        line_source=line_source,
+    )
+
+
+def handle_option_line(
+    opts: Values,
+    filename: str,
+    lineno: int,
+    finder: PackageFinder | None = None,
+    options: optparse.Values | None = None,
+    session: PipSession | None = None,
+) -> None:
+    if opts.hashes:
+        logger.warning(
+            "%s line %s has --hash but no requirement, and will be ignored.",
+            filename,
+            lineno,
+        )
+
+    if options:
+        # percolate options upward
+        if opts.require_hashes:
+            options.require_hashes = opts.require_hashes
+        if opts.no_require_hashes:
+            options.no_require_hashes = opts.no_require_hashes
+        if opts.features_enabled:
+            options.features_enabled.extend(
+                f for f in opts.features_enabled if f not in options.features_enabled
+            )
+
+    # set finder options
+    if finder:
+        find_links = finder.find_links
+        index_urls = finder.index_urls
+        no_index = finder.search_scope.no_index
+        if opts.no_index is True:
+            no_index = True
+            index_urls = []
+        if opts.index_url and not no_index:
+            index_urls = [opts.index_url]
+        if opts.extra_index_urls and not no_index:
+            index_urls.extend(opts.extra_index_urls)
+        if opts.find_links:
+            # FIXME: it would be nice to keep track of the source
+            # of the find_links: support a find-links local path
+            # relative to a requirements file.
+            value = opts.find_links[0]
+            req_dir = os.path.dirname(os.path.abspath(filename))
+            relative_to_reqs_file = os.path.join(req_dir, value)
+            if os.path.exists(relative_to_reqs_file):
+                value = relative_to_reqs_file
+            find_links.append(value)
+
+        if session:
+            # We need to update the auth urls in session
+            session.update_index_urls(index_urls)
+
+        search_scope = SearchScope(
+            find_links=find_links,
+            index_urls=index_urls,
+            no_index=no_index,
+        )
+        finder.search_scope = search_scope
+
+        # Transform --pre into --all-releases :all:
+        if opts.pre:
+            if not opts.release_control:
+                opts.release_control = ReleaseControl()
+            opts.release_control.all_releases.add(":all:")
+
+        if opts.release_control:
+            if not finder.release_control:
+                # First time seeing release_control, set it on finder
+                finder.set_release_control(opts.release_control)
+
+        if opts.prefer_binary:
+            finder.set_prefer_binary()
+
+        if session:
+            for host in opts.trusted_hosts or []:
+                source = f"line {lineno} of {filename}"
+                session.add_trusted_host(host, source=source)
+
+
+def handle_line(
+    line: ParsedLine,
+    options: optparse.Values | None = None,
+    finder: PackageFinder | None = None,
+    session: PipSession | None = None,
+) -> ParsedRequirement | None:
+    """Handle a single parsed requirements line; This can result in
+    creating/yielding requirements, or updating the finder.
+
+    :param line:        The parsed line to be processed.
+    :param options:     CLI options.
+    :param finder:      The finder - updated by non-requirement lines.
+    :param session:     The session - updated by non-requirement lines.
+
+    Returns a ParsedRequirement object if the line is a requirement line,
+    otherwise returns None.
+
+    For lines that contain requirements, the only options that have an effect
+    are from SUPPORTED_OPTIONS_REQ, and they are scoped to the
+    requirement. Other options from SUPPORTED_OPTIONS may be present, but are
+    ignored.
+
+    For lines that do not contain requirements, the only options that have an
+    effect are from SUPPORTED_OPTIONS. Options from SUPPORTED_OPTIONS_REQ may
+    be present, but are ignored. These lines may contain multiple options
+    (although our docs imply only one is supported), and all our parsed and
+    affect the finder.
+    """
+
+    if line.requirement is not None:
+        parsed_req = handle_requirement_line(line, options)
+        return parsed_req
+    else:
+        handle_option_line(
+            line.opts,
+            line.filename,
+            line.lineno,
+            finder,
+            options,
+            session,
+        )
+        return None
+
+
+class RequirementsFileParser:
+    def __init__(
+        self,
+        session: PipSession,
+        line_parser: LineParser,
+    ) -> None:
+        self._session = session
+        self._line_parser = line_parser
+
+    def parse(
+        self, filename: str, constraint: bool
+    ) -> Generator[ParsedLine, None, None]:
+        """Parse a given file, yielding parsed lines."""
+        yield from self._parse_and_recurse(
+            filename, constraint, [{os.path.abspath(filename): None}]
+        )
+
+    def _parse_and_recurse(
+        self,
+        filename: str,
+        constraint: bool,
+        parsed_files_stack: list[dict[str, str | None]],
+    ) -> Generator[ParsedLine, None, None]:
+        for line in self._parse_file(filename, constraint):
+            if line.requirement is None and (
+                line.opts.requirements or line.opts.constraints
+            ):
+                # parse a nested requirements file
+                if line.opts.requirements:
+                    req_path = line.opts.requirements[0]
+                    nested_constraint = False
+                else:
+                    req_path = line.opts.constraints[0]
+                    nested_constraint = True
+
+                # original file is over http
+                if SCHEME_RE.search(filename):
+                    # do a url join so relative paths work
+                    req_path = urllib.parse.urljoin(filename, req_path)
+                # original file and nested file are paths
+                elif not SCHEME_RE.search(req_path):
+                    # do a join so relative paths work
+                    # and then abspath so that we can identify recursive references
+                    req_path = os.path.abspath(
+                        os.path.join(
+                            os.path.dirname(filename),
+                            req_path,
+                        )
+                    )
+                parsed_files = parsed_files_stack[0]
+                if req_path in parsed_files:
+                    initial_file = parsed_files[req_path]
+                    tail = (
+                        f" and again in {initial_file}"
+                        if initial_file is not None
+                        else ""
+                    )
+                    raise RequirementsFileParseError(
+                        f"{req_path} recursively references itself in {filename}{tail}"
+                    )
+                # Keeping a track where was each file first included in
+                new_parsed_files = parsed_files.copy()
+                new_parsed_files[req_path] = filename
+                yield from self._parse_and_recurse(
+                    req_path, nested_constraint, [new_parsed_files, *parsed_files_stack]
+                )
+            else:
+                yield line
+
+    def _parse_file(
+        self, filename: str, constraint: bool
+    ) -> Generator[ParsedLine, None, None]:
+        _, content = get_file_content(filename, self._session, constraint=constraint)
+
+        lines_enum = preprocess(content)
+
+        for line_number, line in lines_enum:
+            try:
+                args_str, opts = self._line_parser(line)
+            except OptionParsingError as e:
+                # add offending line
+                msg = f"Invalid requirement: {line}\n{e.msg}"
+                raise RequirementsFileParseError(msg)
+
+            yield ParsedLine(
+                filename,
+                line_number,
+                args_str,
+                opts,
+                constraint,
+            )
+
+
+def get_line_parser(finder: PackageFinder | None) -> LineParser:
+    def parse_line(line: str) -> tuple[str, Values]:
+        # Build new parser for each line since it accumulates appendable
+        # options.
+        parser = build_parser()
+        defaults = parser.get_default_values()
+        defaults.index_url = None
+        if finder:
+            defaults.format_control = finder.format_control
+            defaults.release_control = finder.release_control
+
+        args_str, options_str = break_args_options(line)
+
+        try:
+            options = shlex.split(options_str)
+        except ValueError as e:
+            raise OptionParsingError(f"Could not split options: {options_str}") from e
+
+        opts, _ = parser.parse_args(options, defaults)
+
+        return args_str, opts
+
+    return parse_line
+
+
+def break_args_options(line: str) -> tuple[str, str]:
+    """Break up the line into an args and options string.  We only want to shlex
+    (and then optparse) the options, not the args.  args can contain markers
+    which are corrupted by shlex.
+    """
+    tokens = line.split(" ")
+    args = []
+    options = tokens[:]
+    for token in tokens:
+        if token.startswith(("-", "--")):
+            break
+        else:
+            args.append(token)
+            options.pop(0)
+    return " ".join(args), " ".join(options)
+
+
+class OptionParsingError(Exception):
+    def __init__(self, msg: str) -> None:
+        self.msg = msg
+
+
+def build_parser() -> optparse.OptionParser:
+    """
+    Return a parser for parsing requirement lines
+    """
+    parser = optparse.OptionParser(add_help_option=False)
+
+    option_factories = SUPPORTED_OPTIONS + SUPPORTED_OPTIONS_REQ
+    for option_factory in option_factories:
+        option = option_factory()
+        parser.add_option(option)
+
+    # By default optparse sys.exits on parsing errors. We want to wrap
+    # that in our own exception.
+    def parser_exit(self: Any, msg: str) -> NoReturn:
+        raise OptionParsingError(msg)
+
+    # NOTE: mypy disallows assigning to a method
+    #       https://github.com/python/mypy/issues/2427
+    parser.exit = parser_exit  # type: ignore
+
+    return parser
+
+
+def join_lines(lines_enum: ReqFileLines) -> ReqFileLines:
+    """Joins a line ending in '\' with the previous line (except when following
+    comments).  The joined line takes on the index of the first line.
+    """
+    primary_line_number = None
+    new_line: list[str] = []
+    for line_number, line in lines_enum:
+        if not line.endswith("\\") or COMMENT_RE.match(line):
+            if COMMENT_RE.match(line):
+                # this ensures comments are always matched later
+                line = " " + line
+            if new_line:
+                new_line.append(line)
+                assert primary_line_number is not None
+                yield primary_line_number, "".join(new_line)
+                new_line = []
+            else:
+                yield line_number, line
+        else:
+            if not new_line:
+                primary_line_number = line_number
+            new_line.append(line.strip("\\"))
+
+    # last line contains \
+    if new_line:
+        assert primary_line_number is not None
+        yield primary_line_number, "".join(new_line)
+
+
+def ignore_comments(lines_enum: ReqFileLines) -> ReqFileLines:
+    """
+    Strips comments and filter empty lines.
+    """
+    for line_number, line in lines_enum:
+        line = COMMENT_RE.sub("", line)
+        line = line.strip()
+        if line:
+            yield line_number, line
+
+
+def expand_env_variables(lines_enum: ReqFileLines) -> ReqFileLines:
+    """Replace all environment variables that can be retrieved via `os.getenv`.
+
+    The only allowed format for environment variables defined in the
+    requirement file is `${MY_VARIABLE_1}` to ensure two things:
+
+    1. Strings that contain a `$` aren't accidentally (partially) expanded.
+    2. Ensure consistency across platforms for requirement files.
+
+    These points are the result of a discussion on the `github pull
+    request #3514 `_.
+
+    Valid characters in variable names follow the `POSIX standard
+    `_ and are limited
+    to uppercase letter, digits and the `_` (underscore).
+    """
+    for line_number, line in lines_enum:
+        for env_var, var_name in ENV_VAR_RE.findall(line):
+            value = os.getenv(var_name)
+            if not value:
+                continue
+
+            line = line.replace(env_var, value)
+
+        yield line_number, line
+
+
+def get_file_content(
+    url: str, session: PipSession, *, constraint: bool = False
+) -> tuple[str, str]:
+    """Gets the content of a file; it may be a filename, file: URL, or
+    http: URL.  Returns (location, content).  Content is unicode.
+    Respects # -*- coding: declarations on the retrieved files.
+
+    :param url:         File path or url.
+    :param session:     PipSession instance.
+    """
+    scheme = urllib.parse.urlsplit(url).scheme
+    # Pip has special support for file:// URLs (LocalFSAdapter).
+    if scheme in ["http", "https", "file"]:
+        # Delay importing heavy network modules until absolutely necessary.
+        from pip._internal.network.utils import raise_for_status
+
+        resp = session.get(url)
+        raise_for_status(resp)
+        return resp.url, resp.text
+
+    # Assume this is a bare path.
+    try:
+        with open(url, "rb") as f:
+            raw_content = f.read()
+    except OSError as exc:
+        kind = "constraint" if constraint else "requirements"
+        raise InstallationError(f"Could not open {kind} file: {exc}")
+
+    content = _decode_req_file(raw_content, url)
+
+    return url, content
+
+
+def _decode_req_file(data: bytes, url: str) -> str:
+    for bom, encoding in BOMS:
+        if data.startswith(bom):
+            return data[len(bom) :].decode(encoding)
+
+    for line in data.split(b"\n")[:2]:
+        if line[0:1] == b"#":
+            result = PEP263_ENCODING_RE.search(line)
+            if result is not None:
+                encoding = result.groups()[0].decode("ascii")
+                return data.decode(encoding)
+
+    try:
+        return data.decode(DEFAULT_ENCODING)
+    except UnicodeDecodeError:
+        locale_encoding = get_locale_encoding() or sys.getdefaultencoding()
+        logging.warning(
+            "unable to decode data from %s with default encoding %s, "
+            "falling back to encoding from locale: %s. "
+            "If this is intentional you should specify the encoding with a "
+            "PEP-263 style comment, e.g. '# -*- coding: %s -*-'",
+            url,
+            DEFAULT_ENCODING,
+            locale_encoding,
+            locale_encoding,
+        )
+        return data.decode(locale_encoding)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_install.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_install.py
new file mode 100644
index 0000000000000000000000000000000000000000..f20707f3d24b2aee0d363d860acfa0aefaf4de1d
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_install.py
@@ -0,0 +1,842 @@
+from __future__ import annotations
+
+import functools
+import logging
+import os
+import shutil
+import sys
+import uuid
+import zipfile
+from collections.abc import Collection, Iterable
+from optparse import Values
+from pathlib import Path
+from typing import Any
+
+from pip._vendor.packaging.markers import Marker
+from pip._vendor.packaging.requirements import Requirement
+from pip._vendor.packaging.specifiers import SpecifierSet
+from pip._vendor.packaging.utils import canonicalize_name
+from pip._vendor.packaging.version import Version
+from pip._vendor.packaging.version import parse as parse_version
+from pip._vendor.pyproject_hooks import BuildBackendHookCaller
+
+from pip._internal.build_env import BuildEnvironment, NoOpBuildEnvironment
+from pip._internal.exceptions import InstallationError, PreviousBuildDirError
+from pip._internal.locations import get_scheme
+from pip._internal.metadata import (
+    BaseDistribution,
+    get_default_environment,
+    get_directory_distribution,
+    get_wheel_distribution,
+)
+from pip._internal.metadata.base import FilesystemWheel
+from pip._internal.models.direct_url import DirectUrl
+from pip._internal.models.link import Link
+from pip._internal.operations.build.metadata import generate_metadata
+from pip._internal.operations.build.metadata_editable import generate_editable_metadata
+from pip._internal.pyproject import load_pyproject_toml, make_pyproject_path
+from pip._internal.req.req_uninstall import UninstallPathSet
+from pip._internal.utils.deprecation import deprecated
+from pip._internal.utils.hashes import Hashes
+from pip._internal.utils.misc import (
+    ConfiguredBuildBackendHookCaller,
+    ask_path_exists,
+    backup_dir,
+    display_path,
+    hide_url,
+    is_installable_dir,
+    redact_auth_from_requirement,
+    redact_auth_from_url,
+)
+from pip._internal.utils.packaging import get_requirement
+from pip._internal.utils.subprocess import runner_with_spinner_message
+from pip._internal.utils.temp_dir import TempDirectory, tempdir_kinds
+from pip._internal.utils.unpacking import unpack_file
+from pip._internal.utils.virtualenv import running_under_virtualenv
+from pip._internal.vcs import vcs
+
+logger = logging.getLogger(__name__)
+
+
+class InstallRequirement:
+    """
+    Represents something that may be installed later on, may have information
+    about where to fetch the relevant requirement and also contains logic for
+    installing the said requirement.
+    """
+
+    def __init__(
+        self,
+        req: Requirement | None,
+        comes_from: str | InstallRequirement | None,
+        editable: bool = False,
+        link: Link | None = None,
+        markers: Marker | None = None,
+        isolated: bool = False,
+        *,
+        hash_options: dict[str, list[str]] | None = None,
+        config_settings: dict[str, str | list[str]] | None = None,
+        constraint: bool = False,
+        extras: Collection[str] = (),
+        user_supplied: bool = False,
+    ) -> None:
+        assert req is None or isinstance(req, Requirement), req
+        self.req = req
+        self.comes_from = comes_from
+        self.constraint = constraint
+        self.editable = editable
+
+        # source_dir is the local directory where the linked requirement is
+        # located, or unpacked. In case unpacking is needed, creating and
+        # populating source_dir is done by the RequirementPreparer. Note this
+        # is not necessarily the directory where pyproject.toml or setup.py is
+        # located - that one is obtained via unpacked_source_directory.
+        self.source_dir: str | None = None
+        if self.editable:
+            assert link
+            if link.is_file:
+                self.source_dir = os.path.normpath(os.path.abspath(link.file_path))
+
+        # original_link is the direct URL that was provided by the user for the
+        # requirement, either directly or via a constraints file.
+        if link is None and req and req.url:
+            # PEP 508 URL requirement
+            link = Link(req.url)
+        self.link = self.original_link = link
+
+        # When this InstallRequirement is a wheel obtained from the cache of locally
+        # built wheels, this is the source link corresponding to the cache entry, which
+        # was used to download and build the cached wheel.
+        self.cached_wheel_source_link: Link | None = None
+
+        # Information about the location of the artifact that was downloaded . This
+        # property is guaranteed to be set in resolver results.
+        self.download_info: DirectUrl | None = None
+
+        # Path to any downloaded or already-existing package.
+        self.local_file_path: str | None = None
+        if self.link and self.link.is_file:
+            self.local_file_path = self.link.file_path
+
+        if extras:
+            self.extras = extras
+        elif req:
+            self.extras = req.extras
+        else:
+            self.extras = set()
+        if markers is None and req:
+            markers = req.marker
+        self.markers = markers
+
+        # This holds the Distribution object if this requirement is already installed.
+        self.satisfied_by: BaseDistribution | None = None
+        # Whether the installation process should try to uninstall an existing
+        # distribution before installing this requirement.
+        self.should_reinstall = False
+        # Temporary build location
+        self._temp_build_dir: TempDirectory | None = None
+        # Set to True after successful installation
+        self.install_succeeded: bool | None = None
+        # Supplied options
+        self.hash_options = hash_options if hash_options else {}
+        self.config_settings = config_settings
+        # Set to True after successful preparation of this requirement
+        self.prepared = False
+        # User supplied requirement are explicitly requested for installation
+        # by the user via CLI arguments or requirements files, as opposed to,
+        # e.g. dependencies, extras or constraints.
+        self.user_supplied = user_supplied
+
+        self.isolated = isolated
+        self.build_env: BuildEnvironment = NoOpBuildEnvironment()
+
+        # For PEP 517, the directory where we request the project metadata
+        # gets stored. We need this to pass to build_wheel, so the backend
+        # can ensure that the wheel matches the metadata (see the PEP for
+        # details).
+        self.metadata_directory: str | None = None
+
+        # The cached metadata distribution that this requirement represents.
+        # See get_dist / set_dist.
+        self._distribution: BaseDistribution | None = None
+
+        # The static build requirements (from pyproject.toml)
+        self.pyproject_requires: list[str] | None = None
+
+        # Build requirements that we will check are available
+        self.requirements_to_check: list[str] = []
+
+        # The PEP 517 backend we should use to build the project
+        self._pep517_backend_spec: str
+        self._pep517_backend_path: str | None
+        self.pep517_backend: BuildBackendHookCaller | None = None
+
+        # This requirement needs more preparation before it can be built
+        self.needs_more_preparation = False
+
+        # This requirement needs to be unpacked before it can be installed.
+        self._archive_source: Path | None = None
+
+    def __str__(self) -> str:
+        if self.req:
+            s = redact_auth_from_requirement(self.req)
+            if self.link:
+                s += f" from {redact_auth_from_url(self.link.url)}"
+        elif self.link:
+            s = redact_auth_from_url(self.link.url)
+        else:
+            s = ""
+        if self.satisfied_by is not None:
+            if self.satisfied_by.location is not None:
+                location = display_path(self.satisfied_by.location)
+            else:
+                location = ""
+            s += f" in {location}"
+        if self.comes_from:
+            if isinstance(self.comes_from, str):
+                comes_from: str | None = self.comes_from
+            else:
+                comes_from = self.comes_from.from_path()
+            if comes_from:
+                s += f" (from {comes_from})"
+        return s
+
+    def __repr__(self) -> str:
+        return (
+            f"<{self.__class__.__name__} object: "
+            f"{str(self)} editable={self.editable!r}>"
+        )
+
+    def format_debug(self) -> str:
+        """An un-tested helper for getting state, for debugging."""
+        attributes = vars(self)
+        names = sorted(attributes)
+
+        state = (f"{attr}={attributes[attr]!r}" for attr in sorted(names))
+        return "<{name} object: {{{state}}}>".format(
+            name=self.__class__.__name__,
+            state=", ".join(state),
+        )
+
+    # Things that are valid for all kinds of requirements?
+    @property
+    def name(self) -> str | None:
+        if self.req is None:
+            return None
+        return self.req.name
+
+    @functools.cached_property
+    def supports_pyproject_editable(self) -> bool:
+        assert self.pep517_backend
+        with self.build_env:
+            runner = runner_with_spinner_message(
+                "Checking if build backend supports build_editable"
+            )
+            with self.pep517_backend.subprocess_runner(runner):
+                return "build_editable" in self.pep517_backend._supported_features()
+
+    @property
+    def specifier(self) -> SpecifierSet:
+        assert self.req is not None
+        return self.req.specifier
+
+    @property
+    def is_direct(self) -> bool:
+        """Whether this requirement was specified as a direct URL."""
+        return self.original_link is not None
+
+    @property
+    def is_pinned(self) -> bool:
+        """Return whether I am pinned to an exact version.
+
+        For example, some-package==1.2 is pinned; some-package>1.2 is not.
+        """
+        assert self.req is not None
+        specifiers = self.req.specifier
+        return len(specifiers) == 1 and next(iter(specifiers)).operator in {"==", "==="}
+
+    def match_markers(self, extras_requested: Iterable[str] | None = None) -> bool:
+        if not extras_requested:
+            # Provide an extra to safely evaluate the markers
+            # without matching any extra
+            extras_requested = ("",)
+        if self.markers is not None:
+            return any(
+                self.markers.evaluate({"extra": extra}) for extra in extras_requested
+            )
+        else:
+            return True
+
+    @property
+    def has_hash_options(self) -> bool:
+        """Return whether any known-good hashes are specified as options.
+
+        These activate --require-hashes mode; hashes specified as part of a
+        URL do not.
+
+        """
+        return bool(self.hash_options)
+
+    def hashes(self, trust_internet: bool = True) -> Hashes:
+        """Return a hash-comparer that considers my option- and URL-based
+        hashes to be known-good.
+
+        Hashes in URLs--ones embedded in the requirements file, not ones
+        downloaded from an index server--are almost peers with ones from
+        flags. They satisfy --require-hashes (whether it was implicitly or
+        explicitly activated) but do not activate it. md5 and sha224 are not
+        allowed in flags, which should nudge people toward good algos. We
+        always OR all hashes together, even ones from URLs.
+
+        :param trust_internet: Whether to trust URL-based (#md5=...) hashes
+            downloaded from the internet, as by populate_link()
+
+        """
+        good_hashes = self.hash_options.copy()
+        if trust_internet:
+            link = self.link
+        elif self.is_direct and self.user_supplied:
+            link = self.original_link
+        else:
+            link = None
+        if link and link.hash:
+            assert link.hash_name is not None
+            good_hashes.setdefault(link.hash_name, []).append(link.hash)
+        return Hashes(good_hashes)
+
+    def from_path(self) -> str | None:
+        """Format a nice indicator to show where this "comes from" """
+        if self.req is None:
+            return None
+        s = str(self.req)
+        if self.comes_from:
+            comes_from: str | None
+            if isinstance(self.comes_from, str):
+                comes_from = self.comes_from
+            else:
+                comes_from = self.comes_from.from_path()
+            if comes_from:
+                s += "->" + comes_from
+        return s
+
+    def ensure_build_location(
+        self, build_dir: str, autodelete: bool, parallel_builds: bool
+    ) -> str:
+        assert build_dir is not None
+        if self._temp_build_dir is not None:
+            assert self._temp_build_dir.path
+            return self._temp_build_dir.path
+        if self.req is None:
+            # Some systems have /tmp as a symlink which confuses custom
+            # builds (such as numpy). Thus, we ensure that the real path
+            # is returned.
+            self._temp_build_dir = TempDirectory(
+                kind=tempdir_kinds.REQ_BUILD, globally_managed=True
+            )
+
+            return self._temp_build_dir.path
+
+        # This is the only remaining place where we manually determine the path
+        # for the temporary directory. It is only needed for editables where
+        # it is the value of the --src option.
+
+        # When parallel builds are enabled, add a UUID to the build directory
+        # name so multiple builds do not interfere with each other.
+        dir_name: str = canonicalize_name(self.req.name)
+        if parallel_builds:
+            dir_name = f"{dir_name}_{uuid.uuid4().hex}"
+
+        # FIXME: Is there a better place to create the build_dir? (hg and bzr
+        # need this)
+        if not os.path.exists(build_dir):
+            logger.debug("Creating directory %s", build_dir)
+            os.makedirs(build_dir)
+        actual_build_dir = os.path.join(build_dir, dir_name)
+        # `None` indicates that we respect the globally-configured deletion
+        # settings, which is what we actually want when auto-deleting.
+        delete_arg = None if autodelete else False
+        return TempDirectory(
+            path=actual_build_dir,
+            delete=delete_arg,
+            kind=tempdir_kinds.REQ_BUILD,
+            globally_managed=True,
+        ).path
+
+    def _set_requirement(self) -> None:
+        """Set requirement after generating metadata."""
+        assert self.req is None
+        assert self.metadata is not None
+        assert self.source_dir is not None
+
+        # Construct a Requirement object from the generated metadata
+        if isinstance(parse_version(self.metadata["Version"]), Version):
+            op = "=="
+        else:
+            op = "==="
+
+        self.req = get_requirement(
+            "".join(
+                [
+                    self.metadata["Name"],
+                    op,
+                    self.metadata["Version"],
+                ]
+            )
+        )
+
+    def warn_on_mismatching_name(self) -> None:
+        assert self.req is not None
+        metadata_name = canonicalize_name(self.metadata["Name"])
+        if canonicalize_name(self.req.name) == metadata_name:
+            # Everything is fine.
+            return
+
+        # If we're here, there's a mismatch. Log a warning about it.
+        logger.warning(
+            "Generating metadata for package %s "
+            "produced metadata for project name %s. Fix your "
+            "#egg=%s fragments.",
+            self.name,
+            metadata_name,
+            self.name,
+        )
+        self.req = get_requirement(metadata_name)
+
+    def check_if_exists(self, use_user_site: bool) -> None:
+        """Find an installed distribution that satisfies or conflicts
+        with this requirement, and set self.satisfied_by or
+        self.should_reinstall appropriately.
+        """
+        if self.req is None:
+            return
+        existing_dist = get_default_environment().get_distribution(self.req.name)
+        if not existing_dist:
+            return
+
+        version_compatible = self.req.specifier.contains(
+            existing_dist.version,
+            prereleases=True,
+        )
+        if not version_compatible:
+            self.satisfied_by = None
+            if use_user_site:
+                if existing_dist.in_usersite:
+                    self.should_reinstall = True
+                elif running_under_virtualenv() and existing_dist.in_site_packages:
+                    raise InstallationError(
+                        f"Will not install to the user site because it will "
+                        f"lack sys.path precedence to {existing_dist.raw_name} "
+                        f"in {existing_dist.location}"
+                    )
+            else:
+                self.should_reinstall = True
+        else:
+            if self.editable:
+                self.should_reinstall = True
+                # when installing editables, nothing pre-existing should ever
+                # satisfy
+                self.satisfied_by = None
+            else:
+                self.satisfied_by = existing_dist
+
+    # Things valid for wheels
+    @property
+    def is_wheel(self) -> bool:
+        if not self.link:
+            return False
+        return self.link.is_wheel
+
+    @property
+    def is_wheel_from_cache(self) -> bool:
+        # When True, it means that this InstallRequirement is a local wheel file in the
+        # cache of locally built wheels.
+        return self.cached_wheel_source_link is not None
+
+    # Things valid for sdists
+    @property
+    def unpacked_source_directory(self) -> str:
+        assert self.source_dir, f"No source dir for {self}"
+        return os.path.join(
+            self.source_dir, self.link and self.link.subdirectory_fragment or ""
+        )
+
+    @property
+    def setup_py_path(self) -> str:
+        assert self.source_dir, f"No source dir for {self}"
+        setup_py = os.path.join(self.unpacked_source_directory, "setup.py")
+
+        return setup_py
+
+    @property
+    def pyproject_toml_path(self) -> str:
+        assert self.source_dir, f"No source dir for {self}"
+        return make_pyproject_path(self.unpacked_source_directory)
+
+    def load_pyproject_toml(self) -> None:
+        """Load the pyproject.toml file.
+
+        After calling this routine, all of the attributes related to PEP 517
+        processing for this requirement have been set.
+        """
+        pyproject_toml_data = load_pyproject_toml(
+            self.pyproject_toml_path, self.setup_py_path, str(self)
+        )
+        assert pyproject_toml_data
+        requires, backend, check, backend_path = pyproject_toml_data
+        self.requirements_to_check = check
+        self.pyproject_requires = requires
+        self._pep517_backend_spec = backend
+        self._pep517_backend_path = backend_path
+
+    def configure_backend(self, python_executable: str) -> None:
+        """Set up the build backend hook caller.
+
+        This is done separately after pyproject.toml loading as the backend
+        need to be called with the build environment's Python executable,
+        which can vary."""
+        self.pep517_backend = ConfiguredBuildBackendHookCaller(
+            self,
+            self.unpacked_source_directory,
+            self._pep517_backend_spec,
+            backend_path=self._pep517_backend_path,
+            python_executable=python_executable,
+        )
+
+    def editable_sanity_check(self) -> None:
+        """Check that an editable requirement if valid for use with PEP 517/518.
+
+        This verifies that an editable has a build backend that supports PEP 660.
+        """
+        if self.editable and not self.supports_pyproject_editable:
+            raise InstallationError(
+                f"Project {self} uses a build backend "
+                f"that is missing the 'build_editable' hook, so "
+                f"it cannot be installed in editable mode. "
+                f"Consider using a build backend that supports PEP 660."
+            )
+
+    def prepare_metadata(self, allow_editables: bool) -> None:
+        """Ensure that project metadata is available.
+
+        Under PEP 517 and PEP 660, call the backend hook to prepare the metadata.
+        Under legacy processing, call setup.py egg-info.
+        """
+        assert self.source_dir, f"No source dir for {self}"
+        details = self.name or f"from {self.link}"
+
+        assert self.pep517_backend is not None
+        if self.editable and allow_editables and self.supports_pyproject_editable:
+            self.metadata_directory = generate_editable_metadata(
+                build_env=self.build_env,
+                backend=self.pep517_backend,
+                details=details,
+            )
+        else:
+            self.metadata_directory = generate_metadata(
+                build_env=self.build_env,
+                backend=self.pep517_backend,
+                details=details,
+            )
+
+        # Act on the newly generated metadata, based on the name and version.
+        if not self.name:
+            self._set_requirement()
+        else:
+            self.warn_on_mismatching_name()
+
+        self.assert_source_matches_version()
+
+    @property
+    def metadata(self) -> Any:
+        if not hasattr(self, "_metadata"):
+            self._metadata = self.get_dist().metadata
+
+        return self._metadata
+
+    def set_dist(self, distribution: BaseDistribution) -> None:
+        self._distribution = distribution
+
+    def get_dist(self) -> BaseDistribution:
+        if self._distribution is not None:
+            return self._distribution
+        elif self.metadata_directory:
+            return get_directory_distribution(self.metadata_directory)
+        elif self.local_file_path and self.is_wheel:
+            assert self.req is not None
+            return get_wheel_distribution(
+                FilesystemWheel(self.local_file_path),
+                canonicalize_name(self.req.name),
+            )
+        raise AssertionError(
+            f"InstallRequirement {self} has no metadata directory and no wheel: "
+            f"can't make a distribution."
+        )
+
+    def assert_source_matches_version(self) -> None:
+        assert self.source_dir, f"No source dir for {self}"
+        version = self.metadata["version"]
+        if self.req and self.req.specifier and version not in self.req.specifier:
+            logger.warning(
+                "Requested %s, but installing version %s",
+                self,
+                version,
+            )
+        else:
+            logger.debug(
+                "Source in %s has version %s, which satisfies requirement %s",
+                display_path(self.source_dir),
+                version,
+                self,
+            )
+
+    # For both source distributions and editables
+    def ensure_has_source_dir(
+        self,
+        parent_dir: str,
+        autodelete: bool = False,
+        parallel_builds: bool = False,
+    ) -> None:
+        """Ensure that a source_dir is set.
+
+        This will create a temporary build dir if the name of the requirement
+        isn't known yet.
+
+        :param parent_dir: The ideal pip parent_dir for the source_dir.
+            Generally src_dir for editables and build_dir for sdists.
+        :return: self.source_dir
+        """
+        if self.source_dir is None:
+            self.source_dir = self.ensure_build_location(
+                parent_dir,
+                autodelete=autodelete,
+                parallel_builds=parallel_builds,
+            )
+
+    def needs_unpacked_archive(self, archive_source: Path) -> None:
+        assert self._archive_source is None
+        self._archive_source = archive_source
+
+    def ensure_pristine_source_checkout(self) -> None:
+        """Ensure the source directory has not yet been built in."""
+        assert self.source_dir is not None
+        if self._archive_source is not None:
+            unpack_file(str(self._archive_source), self.source_dir)
+        elif is_installable_dir(self.source_dir):
+            # If a checkout exists, it's unwise to keep going.
+            # version inconsistencies are logged later, but do not fail
+            # the installation.
+            raise PreviousBuildDirError(
+                f"pip can't proceed with requirements '{self}' due to a "
+                f"pre-existing build directory ({self.source_dir}). This is likely "
+                "due to a previous installation that failed . pip is "
+                "being responsible and not assuming it can delete this. "
+                "Please delete it and try again."
+            )
+
+    # For editable installations
+    def update_editable(self) -> None:
+        if not self.link:
+            logger.debug(
+                "Cannot update repository at %s; repository location is unknown",
+                self.source_dir,
+            )
+            return
+        assert self.editable
+        assert self.source_dir
+        if self.link.scheme == "file":
+            # Static paths don't get updated
+            return
+        vcs_backend = vcs.get_backend_for_scheme(self.link.scheme)
+        # Editable requirements are validated in Requirement constructors.
+        # So here, if it's neither a path nor a valid VCS URL, it's a bug.
+        assert vcs_backend, f"Unsupported VCS URL {self.link.url}"
+        hidden_url = hide_url(self.link.url)
+        vcs_backend.obtain(self.source_dir, url=hidden_url, verbosity=0)
+
+    # Top-level Actions
+    def uninstall(
+        self, auto_confirm: bool = False, verbose: bool = False
+    ) -> UninstallPathSet | None:
+        """
+        Uninstall the distribution currently satisfying this requirement.
+
+        Prompts before removing or modifying files unless
+        ``auto_confirm`` is True.
+
+        Refuses to delete or modify files outside of ``sys.prefix`` -
+        thus uninstallation within a virtual environment can only
+        modify that virtual environment, even if the virtualenv is
+        linked to global site-packages.
+
+        """
+        assert self.req
+        dist = get_default_environment().get_distribution(self.req.name)
+        if not dist:
+            logger.warning("Skipping %s as it is not installed.", self.name)
+            return None
+        logger.info("Found existing installation: %s", dist)
+
+        uninstalled_pathset = UninstallPathSet.from_dist(dist)
+        uninstalled_pathset.remove(auto_confirm, verbose)
+        return uninstalled_pathset
+
+    def _get_archive_name(self, path: str, parentdir: str, rootdir: str) -> str:
+        def _clean_zip_name(name: str, prefix: str) -> str:
+            assert name.startswith(
+                prefix + os.path.sep
+            ), f"name {name!r} doesn't start with prefix {prefix!r}"
+            name = name[len(prefix) + 1 :]
+            name = name.replace(os.path.sep, "/")
+            return name
+
+        assert self.req is not None
+        path = os.path.join(parentdir, path)
+        name = _clean_zip_name(path, rootdir)
+        return self.req.name + "/" + name
+
+    def archive(self, build_dir: str | None) -> None:
+        """Saves archive to provided build_dir.
+
+        Used for saving downloaded VCS requirements as part of `pip download`.
+        """
+        assert self.source_dir
+        if build_dir is None:
+            return
+
+        create_archive = True
+        archive_name = "{}-{}.zip".format(self.name, self.metadata["version"])
+        archive_path = os.path.join(build_dir, archive_name)
+
+        if os.path.exists(archive_path):
+            response = ask_path_exists(
+                f"The file {display_path(archive_path)} exists. (i)gnore, (w)ipe, "
+                "(b)ackup, (a)bort ",
+                ("i", "w", "b", "a"),
+            )
+            if response == "i":
+                create_archive = False
+            elif response == "w":
+                logger.warning("Deleting %s", display_path(archive_path))
+                os.remove(archive_path)
+            elif response == "b":
+                dest_file = backup_dir(archive_path)
+                logger.warning(
+                    "Backing up %s to %s",
+                    display_path(archive_path),
+                    display_path(dest_file),
+                )
+                shutil.move(archive_path, dest_file)
+            elif response == "a":
+                sys.exit(-1)
+
+        if not create_archive:
+            return
+
+        zip_output = zipfile.ZipFile(
+            archive_path,
+            "w",
+            zipfile.ZIP_DEFLATED,
+            allowZip64=True,
+        )
+        with zip_output:
+            dir = os.path.normcase(os.path.abspath(self.unpacked_source_directory))
+            for dirpath, dirnames, filenames in os.walk(dir):
+                for dirname in dirnames:
+                    dir_arcname = self._get_archive_name(
+                        dirname,
+                        parentdir=dirpath,
+                        rootdir=dir,
+                    )
+                    zipdir = zipfile.ZipInfo(dir_arcname + "/")
+                    zipdir.external_attr = 0x1ED << 16  # 0o755
+                    zip_output.writestr(zipdir, "")
+                for filename in filenames:
+                    file_arcname = self._get_archive_name(
+                        filename,
+                        parentdir=dirpath,
+                        rootdir=dir,
+                    )
+                    filename = os.path.join(dirpath, filename)
+                    zip_output.write(filename, file_arcname)
+
+        logger.info("Saved %s", display_path(archive_path))
+
+    def install(
+        self,
+        root: str | None = None,
+        home: str | None = None,
+        prefix: str | None = None,
+        warn_script_location: bool = True,
+        use_user_site: bool = False,
+        pycompile: bool = True,
+        script_executable: str | None = None,
+    ) -> None:
+        # Lazy import to avoid transitively importing `_vendor.distlib.compat`
+        # which in turn imports `urllib.request` which is slow.
+        # During an actual installation, `urllib.request` will end up imported anyway,
+        # but `req.req_install` (this module) is also imported from commands that
+        # don't actually install anything (e.g. `pip freeze` or `pip show`).
+        from pip._internal.operations.install.wheel import install_wheel
+
+        assert self.req is not None
+        scheme = get_scheme(
+            self.req.name,
+            user=use_user_site,
+            home=home,
+            root=root,
+            isolated=self.isolated,
+            prefix=prefix,
+        )
+
+        assert self.is_wheel
+        assert self.local_file_path
+
+        install_wheel(
+            self.req.name,
+            self.local_file_path,
+            scheme=scheme,
+            req_description=str(self.req),
+            pycompile=pycompile,
+            warn_script_location=warn_script_location,
+            direct_url=self.download_info if self.is_direct else None,
+            requested=self.user_supplied,
+            script_executable=script_executable,
+        )
+        self.install_succeeded = True
+
+
+def check_invalid_constraint_type(req: InstallRequirement) -> str:
+    # Check for unsupported forms
+    problem = ""
+    if not req.name:
+        problem = "Unnamed requirements are not allowed as constraints"
+    elif req.editable:
+        problem = "Editable requirements are not allowed as constraints"
+    elif req.extras:
+        problem = "Constraints cannot have extras"
+
+    if problem:
+        deprecated(
+            reason=(
+                "Constraints are only allowed to take the form of a package "
+                "name and a version specifier. Other forms were originally "
+                "permitted as an accident of the implementation, but were "
+                "undocumented. The new implementation of the resolver no "
+                "longer supports these forms."
+            ),
+            replacement="replacing the constraint with a requirement",
+            # No plan yet for when the new resolver becomes default
+            gone_in=None,
+            issue=8210,
+        )
+
+    return problem
+
+
+def _has_option(options: Values, reqs: list[InstallRequirement], option: str) -> bool:
+    if getattr(options, option, None):
+        return True
+    for req in reqs:
+        if getattr(req, option, None):
+            return True
+    return False
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_set.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_set.py
new file mode 100644
index 0000000000000000000000000000000000000000..3451b24f27bb32da69c178dc8a36723d7de0fa93
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_set.py
@@ -0,0 +1,81 @@
+import logging
+from collections import OrderedDict
+
+from pip._vendor.packaging.utils import canonicalize_name
+
+from pip._internal.req.req_install import InstallRequirement
+
+logger = logging.getLogger(__name__)
+
+
+class RequirementSet:
+    def __init__(self, check_supported_wheels: bool = True) -> None:
+        """Create a RequirementSet."""
+
+        self.requirements: dict[str, InstallRequirement] = OrderedDict()
+        self.check_supported_wheels = check_supported_wheels
+
+        self.unnamed_requirements: list[InstallRequirement] = []
+
+    def __str__(self) -> str:
+        requirements = sorted(
+            (req for req in self.requirements.values() if not req.comes_from),
+            key=lambda req: canonicalize_name(req.name or ""),
+        )
+        return " ".join(str(req.req) for req in requirements)
+
+    def __repr__(self) -> str:
+        requirements = sorted(
+            self.requirements.values(),
+            key=lambda req: canonicalize_name(req.name or ""),
+        )
+
+        format_string = "<{classname} object; {count} requirement(s): {reqs}>"
+        return format_string.format(
+            classname=self.__class__.__name__,
+            count=len(requirements),
+            reqs=", ".join(str(req.req) for req in requirements),
+        )
+
+    def add_unnamed_requirement(self, install_req: InstallRequirement) -> None:
+        assert not install_req.name
+        self.unnamed_requirements.append(install_req)
+
+    def add_named_requirement(self, install_req: InstallRequirement) -> None:
+        assert install_req.name
+
+        project_name = canonicalize_name(install_req.name)
+        self.requirements[project_name] = install_req
+
+    def has_requirement(self, name: str) -> bool:
+        project_name = canonicalize_name(name)
+
+        return (
+            project_name in self.requirements
+            and not self.requirements[project_name].constraint
+        )
+
+    def get_requirement(self, name: str) -> InstallRequirement:
+        project_name = canonicalize_name(name)
+
+        if project_name in self.requirements:
+            return self.requirements[project_name]
+
+        raise KeyError(f"No project with the name {name!r}")
+
+    @property
+    def all_requirements(self) -> list[InstallRequirement]:
+        return self.unnamed_requirements + list(self.requirements.values())
+
+    @property
+    def requirements_to_install(self) -> list[InstallRequirement]:
+        """Return the list of requirements that need to be installed.
+
+        TODO remove this property together with the legacy resolver, since the new
+             resolver only returns requirements that need to be installed.
+        """
+        return [
+            install_req
+            for install_req in self.all_requirements
+            if not install_req.constraint and not install_req.satisfied_by
+        ]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_uninstall.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_uninstall.py
new file mode 100644
index 0000000000000000000000000000000000000000..0459c7bbb5cd226b959d45a15c3c47ac21e51f8e
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/req/req_uninstall.py
@@ -0,0 +1,644 @@
+from __future__ import annotations
+
+import functools
+import os
+import sys
+import sysconfig
+from collections.abc import Callable, Generator, Iterable
+from importlib.util import cache_from_source
+from typing import Any
+
+from pip._internal.exceptions import LegacyDistutilsInstall, UninstallMissingRecord
+from pip._internal.locations import get_bin_prefix, get_bin_user
+from pip._internal.metadata import BaseDistribution
+from pip._internal.utils.compat import WINDOWS
+from pip._internal.utils.egg_link import egg_link_path_from_location
+from pip._internal.utils.logging import getLogger, indent_log
+from pip._internal.utils.misc import ask, normalize_path, renames, rmtree
+from pip._internal.utils.temp_dir import AdjacentTempDirectory, TempDirectory
+from pip._internal.utils.virtualenv import running_under_virtualenv
+
+logger = getLogger(__name__)
+
+
+def _script_names(
+    bin_dir: str, script_name: str, is_gui: bool
+) -> Generator[str, None, None]:
+    """Create the fully qualified name of the files created by
+    {console,gui}_scripts for the given ``dist``.
+    Returns the list of file names
+    """
+    exe_name = os.path.join(bin_dir, script_name)
+    yield exe_name
+    if not WINDOWS:
+        return
+    yield f"{exe_name}.exe"
+    yield f"{exe_name}.exe.manifest"
+    if is_gui:
+        yield f"{exe_name}-script.pyw"
+    else:
+        yield f"{exe_name}-script.py"
+
+
+def _unique(
+    fn: Callable[..., Generator[Any, None, None]],
+) -> Callable[..., Generator[Any, None, None]]:
+    @functools.wraps(fn)
+    def unique(*args: Any, **kw: Any) -> Generator[Any, None, None]:
+        seen: set[Any] = set()
+        for item in fn(*args, **kw):
+            if item not in seen:
+                seen.add(item)
+                yield item
+
+    return unique
+
+
+@_unique
+def uninstallation_paths(dist: BaseDistribution) -> Generator[str, None, None]:
+    """
+    Yield all the uninstallation paths for dist based on RECORD-without-.py[co]
+
+    Yield paths to all the files in RECORD. For each .py file in RECORD, add
+    the .pyc and .pyo in the same directory.
+
+    UninstallPathSet.add() takes care of the __pycache__ .py[co].
+
+    If RECORD is not found, raises an error,
+    with possible information from the INSTALLER file.
+
+    https://packaging.python.org/specifications/recording-installed-packages/
+    """
+    location = dist.location
+    assert location is not None, "not installed"
+
+    entries = dist.iter_declared_entries()
+    if entries is None:
+        raise UninstallMissingRecord(distribution=dist)
+
+    for entry in entries:
+        path = os.path.join(location, entry)
+        yield path
+        if path.endswith(".py"):
+            dn, fn = os.path.split(path)
+            base = fn[:-3]
+            path = os.path.join(dn, base + ".pyc")
+            yield path
+            path = os.path.join(dn, base + ".pyo")
+            yield path
+
+
+def compact(paths: Iterable[str]) -> set[str]:
+    """Compact a path set to contain the minimal number of paths
+    necessary to contain all paths in the set. If /a/path/ and
+    /a/path/to/a/file.txt are both in the set, leave only the
+    shorter path."""
+
+    sep = os.path.sep
+    short_paths: set[str] = set()
+    prefixes: set[str] = set()
+
+    for path in sorted(paths, key=len):
+        current = path[:-1] if path.endswith(sep + "*") else path
+        parent = current.rstrip(sep)
+        while parent:
+            if parent in prefixes:
+                break
+            next_parent = os.path.dirname(parent).rstrip(sep)
+            parent = "" if next_parent == parent else next_parent
+        else:
+            short_paths.add(path)
+            prefixes.add(current.rstrip(sep))
+    return short_paths
+
+
+def compress_for_rename(paths: Iterable[str]) -> set[str]:
+    """Returns a set containing the paths that need to be renamed.
+
+    This set may include directories when the original sequence of paths
+    included every file on disk.
+    """
+    case_map = {os.path.normcase(p): p for p in paths}
+    remaining = set(case_map)
+    unchecked = sorted({os.path.split(p)[0] for p in case_map.values()}, key=len)
+    wildcards: set[str] = set()
+
+    def norm_join(*a: str) -> str:
+        return os.path.normcase(os.path.join(*a))
+
+    for root in unchecked:
+        if any(os.path.normcase(root).startswith(w) for w in wildcards):
+            # This directory has already been handled.
+            continue
+
+        all_files: set[str] = set()
+        all_subdirs: set[str] = set()
+        for dirname, subdirs, files in os.walk(root):
+            all_subdirs.update(norm_join(root, dirname, d) for d in subdirs)
+            all_files.update(norm_join(root, dirname, f) for f in files)
+        # If all the files we found are in our remaining set of files to
+        # remove, then remove them from the latter set and add a wildcard
+        # for the directory.
+        if not (all_files - remaining):
+            remaining.difference_update(all_files)
+            wildcards.add(root + os.sep)
+
+    return set(map(case_map.__getitem__, remaining)) | wildcards
+
+
+def compress_for_output_listing(paths: Iterable[str]) -> tuple[set[str], set[str]]:
+    """Returns a tuple of 2 sets of which paths to display to user
+
+    The first set contains paths that would be deleted. Files of a package
+    are not added and the top-level directory of the package has a '*' added
+    at the end - to signify that all it's contents are removed.
+
+    The second set contains files that would have been skipped in the above
+    folders.
+    """
+
+    will_remove = set(paths)
+    will_skip = set()
+
+    # Determine folders and files
+    folders = set()
+    files = set()
+    for path in will_remove:
+        if path.endswith(".pyc"):
+            continue
+        if path.endswith("__init__.py") or ".dist-info" in path:
+            folders.add(os.path.dirname(path))
+        files.add(path)
+
+    _normcased_files = set(map(os.path.normcase, files))
+
+    folders = compact(folders)
+
+    # This walks the tree using os.walk to not miss extra folders
+    # that might get added.
+    for folder in folders:
+        for dirpath, _, dirfiles in os.walk(folder):
+            for fname in dirfiles:
+                if fname.endswith(".pyc"):
+                    continue
+
+                file_ = os.path.join(dirpath, fname)
+                if (
+                    os.path.isfile(file_)
+                    and os.path.normcase(file_) not in _normcased_files
+                ):
+                    # We are skipping this file. Add it to the set.
+                    will_skip.add(file_)
+
+    will_remove = files | {os.path.join(folder, "*") for folder in folders}
+
+    return will_remove, will_skip
+
+
+class StashedUninstallPathSet:
+    """A set of file rename operations to stash files while
+    tentatively uninstalling them."""
+
+    def __init__(self) -> None:
+        # Mapping from source file root to [Adjacent]TempDirectory
+        # for files under that directory.
+        self._save_dirs: dict[str, TempDirectory] = {}
+        # (old path, new path) tuples for each move that may need
+        # to be undone.
+        self._moves: list[tuple[str, str]] = []
+
+    def _get_directory_stash(self, path: str) -> str:
+        """Stashes a directory.
+
+        Directories are stashed adjacent to their original location if
+        possible, or else moved/copied into the user's temp dir."""
+
+        try:
+            save_dir: TempDirectory = AdjacentTempDirectory(path)
+        except OSError:
+            save_dir = TempDirectory(kind="uninstall")
+        self._save_dirs[os.path.normcase(path)] = save_dir
+
+        return save_dir.path
+
+    def _get_file_stash(self, path: str) -> str:
+        """Stashes a file.
+
+        If no root has been provided, one will be created for the directory
+        in the user's temp directory."""
+        path = os.path.normcase(path)
+        head, old_head = os.path.dirname(path), None
+        save_dir = None
+
+        while head != old_head:
+            try:
+                save_dir = self._save_dirs[head]
+                break
+            except KeyError:
+                pass
+            head, old_head = os.path.dirname(head), head
+        else:
+            # Did not find any suitable root
+            head = os.path.dirname(path)
+            save_dir = TempDirectory(kind="uninstall")
+            self._save_dirs[head] = save_dir
+
+        relpath = os.path.relpath(path, head)
+        if relpath and relpath != os.path.curdir:
+            return os.path.join(save_dir.path, relpath)
+        return save_dir.path
+
+    def stash(self, path: str) -> str:
+        """Stashes the directory or file and returns its new location.
+        Handle symlinks as files to avoid modifying the symlink targets.
+        """
+        path_is_dir = os.path.isdir(path) and not os.path.islink(path)
+        if path_is_dir:
+            new_path = self._get_directory_stash(path)
+        else:
+            new_path = self._get_file_stash(path)
+
+        self._moves.append((path, new_path))
+        if path_is_dir and os.path.isdir(new_path):
+            # If we're moving a directory, we need to
+            # remove the destination first or else it will be
+            # moved to inside the existing directory.
+            # We just created new_path ourselves, so it will
+            # be removable.
+            os.rmdir(new_path)
+        renames(path, new_path)
+        return new_path
+
+    def commit(self) -> None:
+        """Commits the uninstall by removing stashed files."""
+        for save_dir in self._save_dirs.values():
+            save_dir.cleanup()
+        self._moves = []
+        self._save_dirs = {}
+
+    def rollback(self) -> None:
+        """Undoes the uninstall by moving stashed files back."""
+        for p in self._moves:
+            logger.info("Moving to %s\n from %s", *p)
+
+        for new_path, path in self._moves:
+            try:
+                logger.debug("Replacing %s from %s", new_path, path)
+                if os.path.isfile(new_path) or os.path.islink(new_path):
+                    os.unlink(new_path)
+                elif os.path.isdir(new_path):
+                    rmtree(new_path)
+                renames(path, new_path)
+            except OSError as ex:
+                logger.error("Failed to restore %s", new_path)
+                logger.debug("Exception: %s", ex)
+
+        self.commit()
+
+    @property
+    def can_rollback(self) -> bool:
+        return bool(self._moves)
+
+
+class UninstallPathSet:
+    """A set of file paths to be removed in the uninstallation of a
+    requirement."""
+
+    def __init__(self, dist: BaseDistribution) -> None:
+        self._paths: set[str] = set()
+        self._refuse: set[str] = set()
+        self._pth: dict[str, UninstallPthEntries] = {}
+        self._dist = dist
+        self._moved_paths = StashedUninstallPathSet()
+        # Create local cache of normalize_path results. Creating an UninstallPathSet
+        # can result in hundreds/thousands of redundant calls to normalize_path with
+        # the same args, which hurts performance.
+        self._normalize_path_cached = functools.lru_cache(normalize_path)
+
+    def _permitted(self, path: str) -> bool:
+        """
+        Return True if the given path is one we are permitted to
+        remove/modify, False otherwise.
+
+        """
+        # aka is_local, but caching normalized sys.prefix
+        if not running_under_virtualenv():
+            return True
+        return path.startswith(self._normalize_path_cached(sys.prefix))
+
+    def add(self, path: str) -> None:
+        head, tail = os.path.split(path)
+
+        # we normalize the head to resolve parent directory symlinks, but not
+        # the tail, since we only want to uninstall symlinks, not their targets
+        path = os.path.join(self._normalize_path_cached(head), os.path.normcase(tail))
+
+        if not os.path.exists(path):
+            return
+        if self._permitted(path):
+            self._paths.add(path)
+        else:
+            self._refuse.add(path)
+
+        # __pycache__ files can show up after 'installed-files.txt' is created,
+        # due to imports
+        if os.path.splitext(path)[1] == ".py":
+            self.add(cache_from_source(path))
+
+    def add_pth(self, pth_file: str, entry: str) -> None:
+        pth_file = self._normalize_path_cached(pth_file)
+        if self._permitted(pth_file):
+            if pth_file not in self._pth:
+                self._pth[pth_file] = UninstallPthEntries(pth_file)
+            self._pth[pth_file].add(entry)
+        else:
+            self._refuse.add(pth_file)
+
+    def remove(self, auto_confirm: bool = False, verbose: bool = False) -> None:
+        """Remove paths in ``self._paths`` with confirmation (unless
+        ``auto_confirm`` is True)."""
+
+        if not self._paths:
+            logger.info(
+                "Can't uninstall '%s'. No files were found to uninstall.",
+                self._dist.raw_name,
+            )
+            return
+
+        dist_name_version = f"{self._dist.raw_name}-{self._dist.raw_version}"
+        logger.info("Uninstalling %s:", dist_name_version)
+
+        with indent_log():
+            if auto_confirm or self._allowed_to_proceed(verbose):
+                moved = self._moved_paths
+
+                for_rename = compress_for_rename(self._paths)
+
+                for path in sorted(compact(for_rename)):
+                    moved.stash(path)
+                    logger.verbose("Removing file or directory %s", path)
+
+                for pth in self._pth.values():
+                    pth.remove()
+
+                logger.info("Successfully uninstalled %s", dist_name_version)
+
+    def _allowed_to_proceed(self, verbose: bool) -> bool:
+        """Display which files would be deleted and prompt for confirmation"""
+
+        def _display(msg: str, paths: Iterable[str]) -> None:
+            if not paths:
+                return
+
+            logger.info(msg)
+            with indent_log():
+                for path in sorted(compact(paths)):
+                    logger.info(path)
+
+        if not verbose:
+            will_remove, will_skip = compress_for_output_listing(self._paths)
+        else:
+            # In verbose mode, display all the files that are going to be
+            # deleted.
+            will_remove = set(self._paths)
+            will_skip = set()
+
+        _display("Would remove:", will_remove)
+        _display("Would not remove (might be manually added):", will_skip)
+        _display("Would not remove (outside of prefix):", self._refuse)
+        if verbose:
+            _display("Will actually move:", compress_for_rename(self._paths))
+
+        return ask("Proceed (Y/n)? ", ("y", "n", "")) != "n"
+
+    def rollback(self) -> None:
+        """Rollback the changes previously made by remove()."""
+        if not self._moved_paths.can_rollback:
+            logger.error(
+                "Can't roll back %s; was not uninstalled",
+                self._dist.raw_name,
+            )
+            return
+        logger.info("Rolling back uninstall of %s", self._dist.raw_name)
+        self._moved_paths.rollback()
+        for pth in self._pth.values():
+            pth.rollback()
+
+    def commit(self) -> None:
+        """Remove temporary save dir: rollback will no longer be possible."""
+        self._moved_paths.commit()
+
+    @classmethod
+    def from_dist(cls, dist: BaseDistribution) -> UninstallPathSet:
+        dist_location = dist.location
+        info_location = dist.info_location
+        if dist_location is None:
+            logger.info(
+                "Not uninstalling %s since it is not installed",
+                dist.canonical_name,
+            )
+            return cls(dist)
+
+        normalized_dist_location = normalize_path(dist_location)
+        if not dist.local:
+            logger.info(
+                "Not uninstalling %s at %s, outside environment %s",
+                dist.canonical_name,
+                normalized_dist_location,
+                sys.prefix,
+            )
+            return cls(dist)
+
+        if normalized_dist_location in {
+            p
+            for p in {sysconfig.get_path("stdlib"), sysconfig.get_path("platstdlib")}
+            if p
+        }:
+            logger.info(
+                "Not uninstalling %s at %s, as it is in the standard library.",
+                dist.canonical_name,
+                normalized_dist_location,
+            )
+            return cls(dist)
+
+        paths_to_remove = cls(dist)
+        develop_egg_link = egg_link_path_from_location(dist.raw_name)
+
+        # Distribution is installed with metadata in a "flat" .egg-info
+        # directory. This means it is not a modern .dist-info installation, an
+        # egg, or legacy editable.
+        setuptools_flat_installation = (
+            dist.installed_with_setuptools_egg_info
+            and info_location is not None
+            and os.path.exists(info_location)
+            # If dist is editable and the location points to a ``.egg-info``,
+            # we are in fact in the legacy editable case.
+            and not info_location.endswith(f"{dist.setuptools_filename}.egg-info")
+        )
+
+        # Uninstall cases order do matter as in the case of 2 installs of the
+        # same package, pip needs to uninstall the currently detected version
+        if setuptools_flat_installation:
+            if info_location is not None:
+                paths_to_remove.add(info_location)
+            installed_files = dist.iter_declared_entries()
+            if installed_files is not None:
+                for installed_file in installed_files:
+                    paths_to_remove.add(os.path.join(dist_location, installed_file))
+            # FIXME: need a test for this elif block
+            # occurs with --single-version-externally-managed/--record outside
+            # of pip
+            elif dist.is_file("top_level.txt"):
+                try:
+                    namespace_packages = dist.read_text("namespace_packages.txt")
+                except FileNotFoundError:
+                    namespaces = []
+                else:
+                    namespaces = namespace_packages.splitlines(keepends=False)
+                for top_level_pkg in [
+                    p
+                    for p in dist.read_text("top_level.txt").splitlines()
+                    if p and p not in namespaces
+                ]:
+                    path = os.path.join(dist_location, top_level_pkg)
+                    paths_to_remove.add(path)
+                    paths_to_remove.add(f"{path}.py")
+                    paths_to_remove.add(f"{path}.pyc")
+                    paths_to_remove.add(f"{path}.pyo")
+
+        elif dist.installed_by_distutils:
+            raise LegacyDistutilsInstall(distribution=dist)
+
+        elif dist.installed_as_egg:
+            # package installed by easy_install
+            # We cannot match on dist.egg_name because it can slightly vary
+            # i.e. setuptools-0.6c11-py2.6.egg vs setuptools-0.6rc11-py2.6.egg
+            # XXX We use normalized_dist_location because dist_location my contain
+            # a trailing / if the distribution is a zipped egg
+            # (which is not a directory).
+            paths_to_remove.add(normalized_dist_location)
+            easy_install_egg = os.path.split(normalized_dist_location)[1]
+            easy_install_pth = os.path.join(
+                os.path.dirname(normalized_dist_location),
+                "easy-install.pth",
+            )
+            paths_to_remove.add_pth(easy_install_pth, "./" + easy_install_egg)
+
+        elif dist.installed_with_dist_info:
+            for path in uninstallation_paths(dist):
+                paths_to_remove.add(path)
+
+        elif develop_egg_link:
+            # PEP 660 modern editable is handled in the ``.dist-info`` case
+            # above, so this only covers the setuptools-style editable.
+            with open(develop_egg_link) as fh:
+                link_pointer = os.path.normcase(fh.readline().strip())
+                normalized_link_pointer = paths_to_remove._normalize_path_cached(
+                    link_pointer
+                )
+            assert os.path.samefile(
+                normalized_link_pointer, normalized_dist_location
+            ), (
+                f"Egg-link {develop_egg_link} (to {link_pointer}) does not match "
+                f"installed location of {dist.raw_name} (at {dist_location})"
+            )
+            paths_to_remove.add(develop_egg_link)
+            easy_install_pth = os.path.join(
+                os.path.dirname(develop_egg_link), "easy-install.pth"
+            )
+            paths_to_remove.add_pth(easy_install_pth, dist_location)
+
+        else:
+            logger.debug(
+                "Not sure how to uninstall: %s - Check: %s",
+                dist,
+                dist_location,
+            )
+
+        if dist.in_usersite:
+            bin_dir = get_bin_user()
+        else:
+            bin_dir = get_bin_prefix()
+
+        # find distutils scripts= scripts
+        try:
+            for script in dist.iter_distutils_script_names():
+                paths_to_remove.add(os.path.join(bin_dir, script))
+                if WINDOWS:
+                    paths_to_remove.add(os.path.join(bin_dir, f"{script}.bat"))
+        except (FileNotFoundError, NotADirectoryError):
+            pass
+
+        # find console_scripts and gui_scripts
+        def iter_scripts_to_remove(
+            dist: BaseDistribution,
+            bin_dir: str,
+        ) -> Generator[str, None, None]:
+            for entry_point in dist.iter_entry_points():
+                if entry_point.group == "console_scripts":
+                    yield from _script_names(bin_dir, entry_point.name, False)
+                elif entry_point.group == "gui_scripts":
+                    yield from _script_names(bin_dir, entry_point.name, True)
+
+        for s in iter_scripts_to_remove(dist, bin_dir):
+            paths_to_remove.add(s)
+
+        return paths_to_remove
+
+
+class UninstallPthEntries:
+    def __init__(self, pth_file: str) -> None:
+        self.file = pth_file
+        self.entries: set[str] = set()
+        self._saved_lines: list[bytes] | None = None
+
+    def add(self, entry: str) -> None:
+        entry = os.path.normcase(entry)
+        # On Windows, os.path.normcase converts the entry to use
+        # backslashes.  This is correct for entries that describe absolute
+        # paths outside of site-packages, but all the others use forward
+        # slashes.
+        # os.path.splitdrive is used instead of os.path.isabs because isabs
+        # treats non-absolute paths with drive letter markings like c:foo\bar
+        # as absolute paths. It also does not recognize UNC paths if they don't
+        # have more than "\\sever\share". Valid examples: "\\server\share\" or
+        # "\\server\share\folder".
+        if WINDOWS and not os.path.splitdrive(entry)[0]:
+            entry = entry.replace("\\", "/")
+        self.entries.add(entry)
+
+    def remove(self) -> None:
+        logger.verbose("Removing pth entries from %s:", self.file)
+
+        # If the file doesn't exist, log a warning and return
+        if not os.path.isfile(self.file):
+            logger.warning("Cannot remove entries from nonexistent file %s", self.file)
+            return
+        with open(self.file, "rb") as fh:
+            # windows uses '\r\n' with py3k, but uses '\n' with py2.x
+            lines = fh.readlines()
+            self._saved_lines = lines
+        if any(b"\r\n" in line for line in lines):
+            endline = "\r\n"
+        else:
+            endline = "\n"
+        # handle missing trailing newline
+        if lines and not lines[-1].endswith(endline.encode("utf-8")):
+            lines[-1] = lines[-1] + endline.encode("utf-8")
+        for entry in self.entries:
+            try:
+                logger.verbose("Removing entry: %s", entry)
+                lines.remove((entry + endline).encode("utf-8"))
+            except ValueError:
+                pass
+        with open(self.file, "wb") as fh:
+            fh.writelines(lines)
+
+    def rollback(self) -> bool:
+        if self._saved_lines is None:
+            logger.error("Cannot roll back changes to %s, none were made", self.file)
+            return False
+        logger.debug("Rolling %s back to previous state", self.file)
+        with open(self.file, "wb") as fh:
+            fh.writelines(self._saved_lines)
+        return True
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/__init__.py
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/__pycache__/base.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/__pycache__/base.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/base.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/base.py
new file mode 100644
index 0000000000000000000000000000000000000000..3e35de77b8cdadd89eca78417c4bb999bda589f0
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/base.py
@@ -0,0 +1,20 @@
+from collections.abc import Callable
+
+from pip._internal.req.req_install import InstallRequirement
+from pip._internal.req.req_set import RequirementSet
+
+InstallRequirementProvider = Callable[
+    [str, InstallRequirement | None], InstallRequirement
+]
+
+
+class BaseResolver:
+    def resolve(
+        self, root_reqs: list[InstallRequirement], check_supported_wheels: bool
+    ) -> RequirementSet:
+        raise NotImplementedError()
+
+    def get_installation_order(
+        self, req_set: RequirementSet
+    ) -> list[InstallRequirement]:
+        raise NotImplementedError()
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+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/legacy/resolver.py
@@ -0,0 +1,598 @@
+"""Dependency Resolution
+
+The dependency resolution in pip is performed as follows:
+
+for top-level requirements:
+    a. only one spec allowed per project, regardless of conflicts or not.
+       otherwise a "double requirement" exception is raised
+    b. they override sub-dependency requirements.
+for sub-dependencies
+    a. "first found, wins" (where the order is breadth first)
+"""
+
+from __future__ import annotations
+
+import logging
+import sys
+from collections import defaultdict
+from collections.abc import Iterable
+from itertools import chain
+
+from pip._vendor.packaging import specifiers
+from pip._vendor.packaging.requirements import Requirement
+
+from pip._internal.cache import WheelCache
+from pip._internal.exceptions import (
+    BestVersionAlreadyInstalled,
+    DistributionNotFound,
+    HashError,
+    HashErrors,
+    InstallationError,
+    NoneMetadataError,
+    UnsupportedPythonVersion,
+)
+from pip._internal.index.package_finder import PackageFinder
+from pip._internal.metadata import BaseDistribution
+from pip._internal.models.link import Link
+from pip._internal.models.wheel import Wheel
+from pip._internal.operations.prepare import RequirementPreparer
+from pip._internal.req.req_install import (
+    InstallRequirement,
+    check_invalid_constraint_type,
+)
+from pip._internal.req.req_set import RequirementSet
+from pip._internal.resolution.base import BaseResolver, InstallRequirementProvider
+from pip._internal.utils import compatibility_tags
+from pip._internal.utils.compatibility_tags import get_supported
+from pip._internal.utils.direct_url_helpers import direct_url_from_link
+from pip._internal.utils.logging import indent_log
+from pip._internal.utils.misc import normalize_version_info
+from pip._internal.utils.packaging import check_requires_python
+
+logger = logging.getLogger(__name__)
+
+DiscoveredDependencies = defaultdict[str | None, list[InstallRequirement]]
+
+
+def _check_dist_requires_python(
+    dist: BaseDistribution,
+    version_info: tuple[int, int, int],
+    ignore_requires_python: bool = False,
+) -> None:
+    """
+    Check whether the given Python version is compatible with a distribution's
+    "Requires-Python" value.
+
+    :param version_info: A 3-tuple of ints representing the Python
+        major-minor-micro version to check.
+    :param ignore_requires_python: Whether to ignore the "Requires-Python"
+        value if the given Python version isn't compatible.
+
+    :raises UnsupportedPythonVersion: When the given Python version isn't
+        compatible.
+    """
+    # This idiosyncratically converts the SpecifierSet to str and let
+    # check_requires_python then parse it again into SpecifierSet. But this
+    # is the legacy resolver so I'm just not going to bother refactoring.
+    try:
+        requires_python = str(dist.requires_python)
+    except FileNotFoundError as e:
+        raise NoneMetadataError(dist, str(e))
+    try:
+        is_compatible = check_requires_python(
+            requires_python,
+            version_info=version_info,
+        )
+    except specifiers.InvalidSpecifier as exc:
+        logger.warning(
+            "Package %r has an invalid Requires-Python: %s", dist.raw_name, exc
+        )
+        return
+
+    if is_compatible:
+        return
+
+    version = ".".join(map(str, version_info))
+    if ignore_requires_python:
+        logger.debug(
+            "Ignoring failed Requires-Python check for package %r: %s not in %r",
+            dist.raw_name,
+            version,
+            requires_python,
+        )
+        return
+
+    raise UnsupportedPythonVersion(
+        f"Package {dist.raw_name!r} requires a different Python: "
+        f"{version} not in {requires_python!r}"
+    )
+
+
+class Resolver(BaseResolver):
+    """Resolves which packages need to be installed/uninstalled to perform \
+    the requested operation without breaking the requirements of any package.
+    """
+
+    _allowed_strategies = {"eager", "only-if-needed", "to-satisfy-only"}
+
+    def __init__(
+        self,
+        preparer: RequirementPreparer,
+        finder: PackageFinder,
+        wheel_cache: WheelCache | None,
+        make_install_req: InstallRequirementProvider,
+        use_user_site: bool,
+        ignore_dependencies: bool,
+        only_dependencies: bool,  # unused, for compatibility with new resolver
+        ignore_installed: bool,
+        ignore_requires_python: bool,
+        force_reinstall: bool,
+        upgrade_strategy: str,
+        py_version_info: tuple[int, ...] | None = None,
+    ) -> None:
+        super().__init__()
+        assert upgrade_strategy in self._allowed_strategies
+
+        if py_version_info is None:
+            py_version_info = sys.version_info[:3]
+        else:
+            py_version_info = normalize_version_info(py_version_info)
+
+        self._py_version_info = py_version_info
+
+        self.preparer = preparer
+        self.finder = finder
+        self.wheel_cache = wheel_cache
+
+        self.upgrade_strategy = upgrade_strategy
+        self.force_reinstall = force_reinstall
+        self.ignore_dependencies = ignore_dependencies
+        self.ignore_installed = ignore_installed
+        self.ignore_requires_python = ignore_requires_python
+        self.use_user_site = use_user_site
+        self._make_install_req = make_install_req
+
+        self._discovered_dependencies: DiscoveredDependencies = defaultdict(list)
+
+    def resolve(
+        self, root_reqs: list[InstallRequirement], check_supported_wheels: bool
+    ) -> RequirementSet:
+        """Resolve what operations need to be done
+
+        As a side-effect of this method, the packages (and their dependencies)
+        are downloaded, unpacked and prepared for installation. This
+        preparation is done by ``pip.operations.prepare``.
+
+        Once PyPI has static dependency metadata available, it would be
+        possible to move the preparation to become a step separated from
+        dependency resolution.
+        """
+        requirement_set = RequirementSet(check_supported_wheels=check_supported_wheels)
+        for req in root_reqs:
+            if req.constraint:
+                check_invalid_constraint_type(req)
+            self._add_requirement_to_set(requirement_set, req)
+
+        # Actually prepare the files, and collect any exceptions. Most hash
+        # exceptions cannot be checked ahead of time, because
+        # _populate_link() needs to be called before we can make decisions
+        # based on link type.
+        discovered_reqs: list[InstallRequirement] = []
+        hash_errors = HashErrors()
+        for req in chain(requirement_set.all_requirements, discovered_reqs):
+            try:
+                discovered_reqs.extend(self._resolve_one(requirement_set, req))
+            except HashError as exc:
+                exc.req = req
+                hash_errors.append(exc)
+
+        if hash_errors:
+            raise hash_errors
+
+        return requirement_set
+
+    def _add_requirement_to_set(
+        self,
+        requirement_set: RequirementSet,
+        install_req: InstallRequirement,
+        parent_req_name: str | None = None,
+        extras_requested: Iterable[str] | None = None,
+    ) -> tuple[list[InstallRequirement], InstallRequirement | None]:
+        """Add install_req as a requirement to install.
+
+        :param parent_req_name: The name of the requirement that needed this
+            added. The name is used because when multiple unnamed requirements
+            resolve to the same name, we could otherwise end up with dependency
+            links that point outside the Requirements set. parent_req must
+            already be added. Note that None implies that this is a user
+            supplied requirement, vs an inferred one.
+        :param extras_requested: an iterable of extras used to evaluate the
+            environment markers.
+        :return: Additional requirements to scan. That is either [] if
+            the requirement is not applicable, or [install_req] if the
+            requirement is applicable and has just been added.
+        """
+        # If the markers do not match, ignore this requirement.
+        if not install_req.match_markers(extras_requested):
+            logger.info(
+                "Ignoring %s: markers '%s' don't match your environment",
+                install_req.name,
+                install_req.markers,
+            )
+            return [], None
+
+        # If the wheel is not supported, raise an error.
+        # Should check this after filtering out based on environment markers to
+        # allow specifying different wheels based on the environment/OS, in a
+        # single requirements file.
+        if install_req.link and install_req.link.is_wheel:
+            wheel = Wheel(install_req.link.filename)
+            tags = compatibility_tags.get_supported()
+            if requirement_set.check_supported_wheels and not wheel.supported(tags):
+                raise InstallationError(
+                    f"{wheel.filename} is not a supported wheel on this platform."
+                )
+
+        # This next bit is really a sanity check.
+        assert (
+            not install_req.user_supplied or parent_req_name is None
+        ), "a user supplied req shouldn't have a parent"
+
+        # Unnamed requirements are scanned again and the requirement won't be
+        # added as a dependency until after scanning.
+        if not install_req.name:
+            requirement_set.add_unnamed_requirement(install_req)
+            return [install_req], None
+
+        try:
+            existing_req: InstallRequirement | None = requirement_set.get_requirement(
+                install_req.name
+            )
+        except KeyError:
+            existing_req = None
+
+        has_conflicting_requirement = (
+            parent_req_name is None
+            and existing_req
+            and not existing_req.constraint
+            and existing_req.extras == install_req.extras
+            and existing_req.req
+            and install_req.req
+            and existing_req.req.specifier != install_req.req.specifier
+        )
+        if has_conflicting_requirement:
+            raise InstallationError(
+                f"Double requirement given: {install_req} "
+                f"(already in {existing_req}, name={install_req.name!r})"
+            )
+
+        # When no existing requirement exists, add the requirement as a
+        # dependency and it will be scanned again after.
+        if not existing_req:
+            requirement_set.add_named_requirement(install_req)
+            # We'd want to rescan this requirement later
+            return [install_req], install_req
+
+        # Assume there's no need to scan, and that we've already
+        # encountered this for scanning.
+        if install_req.constraint or not existing_req.constraint:
+            return [], existing_req
+
+        does_not_satisfy_constraint = install_req.link and not (
+            existing_req.link and install_req.link.path == existing_req.link.path
+        )
+        if does_not_satisfy_constraint:
+            raise InstallationError(
+                f"Could not satisfy constraints for '{install_req.name}': "
+                "installation from path or url cannot be "
+                "constrained to a version"
+            )
+        # If we're now installing a constraint, mark the existing
+        # object for real installation.
+        existing_req.constraint = False
+        # If we're now installing a user supplied requirement,
+        # mark the existing object as such.
+        if install_req.user_supplied:
+            existing_req.user_supplied = True
+        existing_req.extras = tuple(
+            sorted(set(existing_req.extras) | set(install_req.extras))
+        )
+        logger.debug(
+            "Setting %s extras to: %s",
+            existing_req,
+            existing_req.extras,
+        )
+        # Return the existing requirement for addition to the parent and
+        # scanning again.
+        return [existing_req], existing_req
+
+    def _is_upgrade_allowed(self, req: InstallRequirement) -> bool:
+        if self.upgrade_strategy == "to-satisfy-only":
+            return False
+        elif self.upgrade_strategy == "eager":
+            return True
+        else:
+            assert self.upgrade_strategy == "only-if-needed"
+            return req.user_supplied or req.constraint
+
+    def _set_req_to_reinstall(self, req: InstallRequirement) -> None:
+        """
+        Set a requirement to be installed.
+        """
+        # Don't uninstall the conflict if doing a user install and the
+        # conflict is not a user install.
+        assert req.satisfied_by is not None
+        if not self.use_user_site or req.satisfied_by.in_usersite:
+            req.should_reinstall = True
+        req.satisfied_by = None
+
+    def _check_skip_installed(self, req_to_install: InstallRequirement) -> str | None:
+        """Check if req_to_install should be skipped.
+
+        This will check if the req is installed, and whether we should upgrade
+        or reinstall it, taking into account all the relevant user options.
+
+        After calling this req_to_install will only have satisfied_by set to
+        None if the req_to_install is to be upgraded/reinstalled etc. Any
+        other value will be a dist recording the current thing installed that
+        satisfies the requirement.
+
+        Note that for vcs urls and the like we can't assess skipping in this
+        routine - we simply identify that we need to pull the thing down,
+        then later on it is pulled down and introspected to assess upgrade/
+        reinstalls etc.
+
+        :return: A text reason for why it was skipped, or None.
+        """
+        if self.ignore_installed:
+            return None
+
+        req_to_install.check_if_exists(self.use_user_site)
+        if not req_to_install.satisfied_by:
+            return None
+
+        if self.force_reinstall:
+            self._set_req_to_reinstall(req_to_install)
+            return None
+
+        if not self._is_upgrade_allowed(req_to_install):
+            if self.upgrade_strategy == "only-if-needed":
+                return "already satisfied, skipping upgrade"
+            return "already satisfied"
+
+        # Check for the possibility of an upgrade.  For link-based
+        # requirements we have to pull the tree down and inspect to assess
+        # the version #, so it's handled way down.
+        if not req_to_install.link:
+            try:
+                self.finder.find_requirement(req_to_install, upgrade=True)
+            except BestVersionAlreadyInstalled:
+                # Then the best version is installed.
+                return "already up-to-date"
+            except DistributionNotFound:
+                # No distribution found, so we squash the error.  It will
+                # be raised later when we re-try later to do the install.
+                # Why don't we just raise here?
+                pass
+
+        self._set_req_to_reinstall(req_to_install)
+        return None
+
+    def _find_requirement_link(self, req: InstallRequirement) -> Link | None:
+        upgrade = self._is_upgrade_allowed(req)
+        best_candidate = self.finder.find_requirement(req, upgrade)
+        if not best_candidate:
+            return None
+
+        # Log a warning per PEP 592 if necessary before returning.
+        link = best_candidate.link
+        if link.is_yanked:
+            reason = link.yanked_reason or ""
+            msg = (
+                # Mark this as a unicode string to prevent
+                # "UnicodeEncodeError: 'ascii' codec can't encode character"
+                # in Python 2 when the reason contains non-ascii characters.
+                "The candidate selected for download or install is a "
+                f"yanked version: {best_candidate}\n"
+                f"Reason for being yanked: {reason}"
+            )
+            logger.warning(msg)
+
+        return link
+
+    def _populate_link(self, req: InstallRequirement) -> None:
+        """Ensure that if a link can be found for this, that it is found.
+
+        Note that req.link may still be None - if the requirement is already
+        installed and not needed to be upgraded based on the return value of
+        _is_upgrade_allowed().
+
+        If preparer.require_hashes is True, don't use the wheel cache, because
+        cached wheels, always built locally, have different hashes than the
+        files downloaded from the index server and thus throw false hash
+        mismatches. Furthermore, cached wheels at present have nondeterministic
+        contents due to file modification times.
+        """
+        if req.link is None:
+            req.link = self._find_requirement_link(req)
+
+        if self.wheel_cache is None or self.preparer.require_hashes:
+            return
+
+        assert req.link is not None, "_find_requirement_link unexpectedly returned None"
+        cache_entry = self.wheel_cache.get_cache_entry(
+            link=req.link,
+            package_name=req.name,
+            supported_tags=get_supported(),
+        )
+        if cache_entry is not None:
+            logger.debug("Using cached wheel link: %s", cache_entry.link)
+            if req.link is req.original_link and cache_entry.persistent:
+                req.cached_wheel_source_link = req.link
+            if cache_entry.origin is not None:
+                req.download_info = cache_entry.origin
+            else:
+                # Legacy cache entry that does not have origin.json.
+                # download_info may miss the archive_info.hashes field.
+                req.download_info = direct_url_from_link(
+                    req.link, link_is_in_wheel_cache=cache_entry.persistent
+                )
+            req.link = cache_entry.link
+
+    def _get_dist_for(self, req: InstallRequirement) -> BaseDistribution:
+        """Takes a InstallRequirement and returns a single AbstractDist \
+        representing a prepared variant of the same.
+        """
+        if req.editable:
+            return self.preparer.prepare_editable_requirement(req)
+
+        # satisfied_by is only evaluated by calling _check_skip_installed,
+        # so it must be None here.
+        assert req.satisfied_by is None
+        skip_reason = self._check_skip_installed(req)
+
+        if req.satisfied_by:
+            return self.preparer.prepare_installed_requirement(req, skip_reason)
+
+        # We eagerly populate the link, since that's our "legacy" behavior.
+        self._populate_link(req)
+        dist = self.preparer.prepare_linked_requirement(req)
+
+        # NOTE
+        # The following portion is for determining if a certain package is
+        # going to be re-installed/upgraded or not and reporting to the user.
+        # This should probably get cleaned up in a future refactor.
+
+        # req.req is only avail after unpack for URL
+        # pkgs repeat check_if_exists to uninstall-on-upgrade
+        # (#14)
+        if not self.ignore_installed:
+            req.check_if_exists(self.use_user_site)
+
+        if req.satisfied_by:
+            should_modify = (
+                self.upgrade_strategy != "to-satisfy-only"
+                or self.force_reinstall
+                or self.ignore_installed
+                or req.link.scheme == "file"
+            )
+            if should_modify:
+                self._set_req_to_reinstall(req)
+            else:
+                logger.info(
+                    "Requirement already satisfied (use --upgrade to upgrade): %s",
+                    req,
+                )
+        return dist
+
+    def _resolve_one(
+        self,
+        requirement_set: RequirementSet,
+        req_to_install: InstallRequirement,
+    ) -> list[InstallRequirement]:
+        """Prepare a single requirements file.
+
+        :return: A list of additional InstallRequirements to also install.
+        """
+        # Tell user what we are doing for this requirement:
+        # obtain (editable), skipping, processing (local url), collecting
+        # (remote url or package name)
+        if req_to_install.constraint or req_to_install.prepared:
+            return []
+
+        req_to_install.prepared = True
+
+        # Parse and return dependencies
+        dist = self._get_dist_for(req_to_install)
+        # This will raise UnsupportedPythonVersion if the given Python
+        # version isn't compatible with the distribution's Requires-Python.
+        _check_dist_requires_python(
+            dist,
+            version_info=self._py_version_info,
+            ignore_requires_python=self.ignore_requires_python,
+        )
+
+        more_reqs: list[InstallRequirement] = []
+
+        def add_req(subreq: Requirement, extras_requested: Iterable[str]) -> None:
+            # This idiosyncratically converts the Requirement to str and let
+            # make_install_req then parse it again into Requirement. But this is
+            # the legacy resolver so I'm just not going to bother refactoring.
+            sub_install_req = self._make_install_req(str(subreq), req_to_install)
+            parent_req_name = req_to_install.name
+            to_scan_again, add_to_parent = self._add_requirement_to_set(
+                requirement_set,
+                sub_install_req,
+                parent_req_name=parent_req_name,
+                extras_requested=extras_requested,
+            )
+            if parent_req_name and add_to_parent:
+                self._discovered_dependencies[parent_req_name].append(add_to_parent)
+            more_reqs.extend(to_scan_again)
+
+        with indent_log():
+            # We add req_to_install before its dependencies, so that we
+            # can refer to it when adding dependencies.
+            assert req_to_install.name is not None
+            if not requirement_set.has_requirement(req_to_install.name):
+                # 'unnamed' requirements will get added here
+                # 'unnamed' requirements can only come from being directly
+                # provided by the user.
+                assert req_to_install.user_supplied
+                self._add_requirement_to_set(
+                    requirement_set, req_to_install, parent_req_name=None
+                )
+
+            if not self.ignore_dependencies:
+                if req_to_install.extras:
+                    logger.debug(
+                        "Installing extra requirements: %r",
+                        ",".join(req_to_install.extras),
+                    )
+                missing_requested = sorted(
+                    set(req_to_install.extras) - set(dist.iter_provided_extras())
+                )
+                for missing in missing_requested:
+                    logger.warning(
+                        "%s %s does not provide the extra '%s'",
+                        dist.raw_name,
+                        dist.version,
+                        missing,
+                    )
+
+                available_requested = sorted(
+                    set(dist.iter_provided_extras()) & set(req_to_install.extras)
+                )
+                for subreq in dist.iter_dependencies(available_requested):
+                    add_req(subreq, extras_requested=available_requested)
+
+        return more_reqs
+
+    def get_installation_order(
+        self, req_set: RequirementSet
+    ) -> list[InstallRequirement]:
+        """Create the installation order.
+
+        The installation order is topological - requirements are installed
+        before the requiring thing. We break cycles at an arbitrary point,
+        and make no other guarantees.
+        """
+        # The current implementation, which we may change at any point
+        # installs the user specified things in the order given, except when
+        # dependencies must come earlier to achieve topological order.
+        order = []
+        ordered_reqs: set[InstallRequirement] = set()
+
+        def schedule(req: InstallRequirement) -> None:
+            if req.satisfied_by or req in ordered_reqs:
+                return
+            if req.constraint:
+                return
+            ordered_reqs.add(req)
+            for dep in self._discovered_dependencies[req.name]:
+                schedule(dep)
+            order.append(req)
+
+        for install_req in req_set.requirements.values():
+            schedule(install_req)
+        return order
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/__init__.py
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/base.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/base.py
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index 0000000000000000000000000000000000000000..9d7518383d37e7593c13e810fb61605e4ca795e2
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/base.py
@@ -0,0 +1,164 @@
+from __future__ import annotations
+
+from collections.abc import Iterable
+from dataclasses import dataclass
+from typing import Optional
+
+from pip._vendor.packaging.specifiers import SpecifierSet
+from pip._vendor.packaging.utils import NormalizedName
+from pip._vendor.packaging.version import Version
+
+from pip._internal.models.link import Link, links_equivalent
+from pip._internal.req.req_install import InstallRequirement
+from pip._internal.utils.hashes import Hashes
+
+CandidateLookup = tuple[Optional["Candidate"], InstallRequirement | None]
+
+
+def format_name(project: NormalizedName, extras: frozenset[NormalizedName]) -> str:
+    if not extras:
+        return project
+    extras_expr = ",".join(sorted(extras))
+    return f"{project}[{extras_expr}]"
+
+
+@dataclass(frozen=True)
+class Constraint:
+    specifier: SpecifierSet
+    hashes: Hashes
+    hash_options: dict[str, list[str]]
+    links: frozenset[Link]
+
+    @classmethod
+    def empty(cls) -> Constraint:
+        return Constraint(SpecifierSet(), Hashes(), {}, frozenset())
+
+    @classmethod
+    def from_ireq(cls, ireq: InstallRequirement) -> Constraint:
+        links = frozenset([ireq.link]) if ireq.link else frozenset()
+        hash_options = {alg: list(v) for alg, v in ireq.hash_options.items()}
+        return Constraint(
+            ireq.specifier,
+            ireq.hashes(trust_internet=False),
+            hash_options,
+            links,
+        )
+
+    def __bool__(self) -> bool:
+        return bool(self.specifier) or bool(self.hashes) or bool(self.links)
+
+    def __and__(self, other: InstallRequirement) -> Constraint:
+        if not isinstance(other, InstallRequirement):
+            return NotImplemented
+        specifier = self.specifier & other.specifier
+        hashes = self.hashes & other.hashes(trust_internet=False)
+        if not self.hash_options:
+            hash_options = {alg: list(v) for alg, v in other.hash_options.items()}
+        elif not other.hash_options:
+            hash_options = {alg: list(v) for alg, v in self.hash_options.items()}
+        else:
+            hash_options = {
+                alg: [v for v in other.hash_options[alg] if v in self.hash_options[alg]]
+                for alg in self.hash_options.keys() & other.hash_options.keys()
+            }
+        links = self.links
+        if other.link:
+            links = links.union([other.link])
+        return Constraint(specifier, hashes, hash_options, links)
+
+    def is_satisfied_by(self, candidate: Candidate) -> bool:
+        # Reject if there are any mismatched URL constraints on this package.
+        if self.links and not all(_match_link(link, candidate) for link in self.links):
+            return False
+        # We can safely always allow prereleases here since PackageFinder
+        # already implements the prerelease logic, and would have filtered out
+        # prerelease candidates if the user does not expect them.
+        return self.specifier.contains(candidate.version, prereleases=True)
+
+    def format_for_error(self) -> str:
+        s = str(self.specifier)
+        if self.links:
+            s += f" (from {', '.join(str(link) for link in self.links)})"
+        return s
+
+
+class Requirement:
+    @property
+    def project_name(self) -> NormalizedName:
+        """The "project name" of a requirement.
+
+        This is different from ``name`` if this requirement contains extras,
+        in which case ``name`` would contain the ``[...]`` part, while this
+        refers to the name of the project.
+        """
+        raise NotImplementedError("Subclass should override")
+
+    @property
+    def name(self) -> str:
+        """The name identifying this requirement in the resolver.
+
+        This is different from ``project_name`` if this requirement contains
+        extras, where ``project_name`` would not contain the ``[...]`` part.
+        """
+        raise NotImplementedError("Subclass should override")
+
+    def is_satisfied_by(self, candidate: Candidate) -> bool:
+        return False
+
+    def get_candidate_lookup(self) -> CandidateLookup:
+        raise NotImplementedError("Subclass should override")
+
+    def format_for_error(self) -> str:
+        raise NotImplementedError("Subclass should override")
+
+
+def _match_link(link: Link, candidate: Candidate) -> bool:
+    if candidate.source_link:
+        return links_equivalent(link, candidate.source_link)
+    return False
+
+
+class Candidate:
+    @property
+    def project_name(self) -> NormalizedName:
+        """The "project name" of the candidate.
+
+        This is different from ``name`` if this candidate contains extras,
+        in which case ``name`` would contain the ``[...]`` part, while this
+        refers to the name of the project.
+        """
+        raise NotImplementedError("Override in subclass")
+
+    @property
+    def name(self) -> str:
+        """The name identifying this candidate in the resolver.
+
+        This is different from ``project_name`` if this candidate contains
+        extras, where ``project_name`` would not contain the ``[...]`` part.
+        """
+        raise NotImplementedError("Override in subclass")
+
+    @property
+    def version(self) -> Version:
+        raise NotImplementedError("Override in subclass")
+
+    @property
+    def is_installed(self) -> bool:
+        raise NotImplementedError("Override in subclass")
+
+    @property
+    def is_editable(self) -> bool:
+        raise NotImplementedError("Override in subclass")
+
+    @property
+    def source_link(self) -> Link | None:
+        raise NotImplementedError("Override in subclass")
+
+    def iter_dependencies(self, with_requires: bool) -> Iterable[Requirement | None]:
+        raise NotImplementedError("Override in subclass")
+
+    def get_install_requirement(self) -> InstallRequirement | None:
+        raise NotImplementedError("Override in subclass")
+
+    def format_for_error(self) -> str:
+        raise NotImplementedError("Subclass should override")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/candidates.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/candidates.py
new file mode 100644
index 0000000000000000000000000000000000000000..b8b853cb761215b810750b295bfb0ed86e39f698
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/candidates.py
@@ -0,0 +1,598 @@
+from __future__ import annotations
+
+import logging
+import sys
+from collections.abc import Iterable
+from typing import TYPE_CHECKING, Any, Union, cast
+
+from pip._vendor.packaging.requirements import InvalidRequirement
+from pip._vendor.packaging.utils import NormalizedName, canonicalize_name
+from pip._vendor.packaging.version import Version
+
+from pip._internal.exceptions import (
+    FailedToPrepareCandidate,
+    HashError,
+    InstallationSubprocessError,
+    InvalidInstalledPackage,
+    MetadataInconsistent,
+    MetadataInvalid,
+)
+from pip._internal.metadata import BaseDistribution
+from pip._internal.models.link import Link, links_equivalent
+from pip._internal.models.wheel import Wheel
+from pip._internal.req.constructors import (
+    install_req_from_editable,
+    install_req_from_line,
+)
+from pip._internal.req.req_install import InstallRequirement
+from pip._internal.utils.direct_url_helpers import direct_url_from_link
+from pip._internal.utils.misc import normalize_version_info
+
+from .base import Candidate, Requirement, format_name
+
+if TYPE_CHECKING:
+    from .factory import Factory
+
+logger = logging.getLogger(__name__)
+
+BaseCandidate = Union[
+    "AlreadyInstalledCandidate",
+    "EditableCandidate",
+    "LinkCandidate",
+]
+
+# Avoid conflicting with the PyPI package "Python".
+REQUIRES_PYTHON_IDENTIFIER = cast(NormalizedName, "")
+
+
+def as_base_candidate(candidate: Candidate) -> BaseCandidate | None:
+    """The runtime version of BaseCandidate."""
+    base_candidate_classes = (
+        AlreadyInstalledCandidate,
+        EditableCandidate,
+        LinkCandidate,
+    )
+    if isinstance(candidate, base_candidate_classes):
+        return candidate
+    return None
+
+
+def make_install_req_from_link(
+    link: Link,
+    template: InstallRequirement,
+    version: Version | None = None,
+) -> InstallRequirement:
+    assert not template.editable, "template is editable"
+    if version is not None and template.req and template.hash_options:
+        # When hashes are provided via constraints for an unpinned requirement,
+        # the resulting install requirement must appear pinned so that the
+        # hash-checking logic does not reject it as HashUnpinned.
+        line = f"{template.req.name}=={version}"
+    elif template.req:
+        line = str(template.req)
+    else:
+        line = link.url
+    ireq = install_req_from_line(
+        line,
+        user_supplied=template.user_supplied,
+        comes_from=template.comes_from,
+        isolated=template.isolated,
+        constraint=template.constraint,
+        hash_options=template.hash_options,
+        config_settings=template.config_settings,
+    )
+    ireq.original_link = template.original_link
+    ireq.link = link
+    ireq.extras = template.extras
+    return ireq
+
+
+def make_install_req_from_editable(
+    link: Link, template: InstallRequirement
+) -> InstallRequirement:
+    assert template.editable, "template not editable"
+    if template.name:
+        req_string = f"{template.name} @ {link.url}"
+    else:
+        req_string = link.url
+    ireq = install_req_from_editable(
+        req_string,
+        user_supplied=template.user_supplied,
+        comes_from=template.comes_from,
+        isolated=template.isolated,
+        constraint=template.constraint,
+        hash_options=template.hash_options,
+        config_settings=template.config_settings,
+    )
+    ireq.extras = template.extras
+    return ireq
+
+
+def _make_install_req_from_dist(
+    dist: BaseDistribution, template: InstallRequirement
+) -> InstallRequirement:
+    if template.req:
+        line = str(template.req)
+    elif template.link:
+        line = f"{dist.canonical_name} @ {template.link.url}"
+    else:
+        line = f"{dist.canonical_name}=={dist.version}"
+    ireq = install_req_from_line(
+        line,
+        user_supplied=template.user_supplied,
+        comes_from=template.comes_from,
+        isolated=template.isolated,
+        constraint=template.constraint,
+        hash_options=template.hash_options,
+        config_settings=template.config_settings,
+    )
+    ireq.satisfied_by = dist
+    return ireq
+
+
+class _InstallRequirementBackedCandidate(Candidate):
+    """A candidate backed by an ``InstallRequirement``.
+
+    This represents a package request with the target not being already
+    in the environment, and needs to be fetched and installed. The backing
+    ``InstallRequirement`` is responsible for most of the leg work; this
+    class exposes appropriate information to the resolver.
+
+    :param link: The link passed to the ``InstallRequirement``. The backing
+        ``InstallRequirement`` will use this link to fetch the distribution.
+    :param source_link: The link this candidate "originates" from. This is
+        different from ``link`` when the link is found in the wheel cache.
+        ``link`` would point to the wheel cache, while this points to the
+        found remote link (e.g. from pypi.org).
+    """
+
+    dist: BaseDistribution
+    is_installed = False
+
+    def __init__(
+        self,
+        link: Link,
+        source_link: Link,
+        ireq: InstallRequirement,
+        factory: Factory,
+        name: NormalizedName | None = None,
+        version: Version | None = None,
+    ) -> None:
+        self._link = link
+        self._source_link = source_link
+        self._factory = factory
+        self._ireq = ireq
+        self._name = name
+        self._version = version
+        self.dist = self._prepare()
+        self._hash: int | None = None
+
+    def __str__(self) -> str:
+        return f"{self.name} {self.version}"
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}({str(self._link)!r})"
+
+    def __hash__(self) -> int:
+        if self._hash is not None:
+            return self._hash
+
+        self._hash = hash((self.__class__, self._link))
+        return self._hash
+
+    def __eq__(self, other: Any) -> bool:
+        if isinstance(other, self.__class__):
+            return links_equivalent(self._link, other._link)
+        return False
+
+    @property
+    def source_link(self) -> Link | None:
+        return self._source_link
+
+    @property
+    def project_name(self) -> NormalizedName:
+        """The normalised name of the project the candidate refers to"""
+        if self._name is None:
+            self._name = self.dist.canonical_name
+        return self._name
+
+    @property
+    def name(self) -> str:
+        return self.project_name
+
+    @property
+    def version(self) -> Version:
+        if self._version is None:
+            self._version = self.dist.version
+        return self._version
+
+    def format_for_error(self) -> str:
+        return (
+            f"{self.name} {self.version} "
+            f"(from {'editable ' if self.is_editable else ''}"
+            f"{self._link.file_path if self._link.is_file else self._link})"
+        )
+
+    def _prepare_distribution(self) -> BaseDistribution:
+        raise NotImplementedError("Override in subclass")
+
+    def _check_metadata_consistency(self, dist: BaseDistribution) -> None:
+        """Check for consistency of project name and version of dist."""
+        if self._name is not None and self._name != dist.canonical_name:
+            raise MetadataInconsistent(
+                self._ireq,
+                "name",
+                self._name,
+                dist.canonical_name,
+            )
+        if self._version is not None and self._version != dist.version:
+            raise MetadataInconsistent(
+                self._ireq,
+                "version",
+                str(self._version),
+                str(dist.version),
+            )
+        # check dependencies are valid
+        # TODO performance: this means we iterate the dependencies at least twice,
+        # we may want to cache parsed Requires-Dist
+        try:
+            list(dist.iter_dependencies(list(dist.iter_provided_extras())))
+        except InvalidRequirement as e:
+            raise MetadataInvalid(self._ireq, str(e))
+
+    def _prepare(self) -> BaseDistribution:
+        try:
+            dist = self._prepare_distribution()
+        except HashError as e:
+            # Provide HashError the underlying ireq that caused it. This
+            # provides context for the resulting error message to show the
+            # offending line to the user.
+            e.req = self._ireq
+            raise
+        except InstallationSubprocessError as exc:
+            if isinstance(self._ireq.comes_from, InstallRequirement):
+                request_chain = self._ireq.comes_from.from_path()
+            else:
+                request_chain = self._ireq.comes_from
+
+            if request_chain is None:
+                request_chain = "directly requested"
+
+            raise FailedToPrepareCandidate(
+                package_name=self._ireq.name or str(self._link),
+                requirement_chain=request_chain,
+                failed_step=exc.command_description,
+            )
+
+        self._check_metadata_consistency(dist)
+        return dist
+
+    def iter_dependencies(self, with_requires: bool) -> Iterable[Requirement | None]:
+        # Emit the Requires-Python requirement first to fail fast on
+        # unsupported candidates and avoid pointless downloads/preparation.
+        yield self._factory.make_requires_python_requirement(self.dist.requires_python)
+        requires = self.dist.iter_dependencies() if with_requires else ()
+        for r in requires:
+            yield from self._factory.make_requirements_from_spec(str(r), self._ireq)
+
+    def get_install_requirement(self) -> InstallRequirement | None:
+        return self._ireq
+
+
+class LinkCandidate(_InstallRequirementBackedCandidate):
+    is_editable = False
+
+    def __init__(
+        self,
+        link: Link,
+        template: InstallRequirement,
+        factory: Factory,
+        name: NormalizedName | None = None,
+        version: Version | None = None,
+    ) -> None:
+        source_link = link
+        cache_entry = factory.get_wheel_cache_entry(source_link, name)
+        if cache_entry is not None:
+            logger.debug("Using cached wheel link: %s", cache_entry.link)
+            link = cache_entry.link
+        ireq = make_install_req_from_link(link, template, version=version)
+        assert ireq.link == link
+        if ireq.link.is_wheel and not ireq.link.is_file:
+            wheel = Wheel(ireq.link.filename)
+            wheel_name = wheel.name
+            assert name == wheel_name, f"{name!r} != {wheel_name!r} for wheel"
+            # Version may not be present for PEP 508 direct URLs
+            if version is not None:
+                wheel_version = Version(wheel.version)
+                assert (
+                    version == wheel_version
+                ), f"{version!r} != {wheel_version!r} for wheel {name}"
+
+        if cache_entry is not None:
+            assert ireq.link.is_wheel
+            assert ireq.link.is_file
+            if cache_entry.persistent and template.link is template.original_link:
+                ireq.cached_wheel_source_link = source_link
+            if cache_entry.origin is not None:
+                ireq.download_info = cache_entry.origin
+            else:
+                # Legacy cache entry that does not have origin.json.
+                # download_info may miss the archive_info.hashes field.
+                ireq.download_info = direct_url_from_link(
+                    source_link, link_is_in_wheel_cache=cache_entry.persistent
+                )
+
+        super().__init__(
+            link=link,
+            source_link=source_link,
+            ireq=ireq,
+            factory=factory,
+            name=name,
+            version=version,
+        )
+
+    def _prepare_distribution(self) -> BaseDistribution:
+        preparer = self._factory.preparer
+        return preparer.prepare_linked_requirement(self._ireq, parallel_builds=True)
+
+
+class EditableCandidate(_InstallRequirementBackedCandidate):
+    is_editable = True
+
+    def __init__(
+        self,
+        link: Link,
+        template: InstallRequirement,
+        factory: Factory,
+        name: NormalizedName | None = None,
+        version: Version | None = None,
+    ) -> None:
+        super().__init__(
+            link=link,
+            source_link=link,
+            ireq=make_install_req_from_editable(link, template),
+            factory=factory,
+            name=name,
+            version=version,
+        )
+
+    def _prepare_distribution(self) -> BaseDistribution:
+        return self._factory.preparer.prepare_editable_requirement(self._ireq)
+
+
+class AlreadyInstalledCandidate(Candidate):
+    is_installed = True
+    source_link = None
+
+    def __init__(
+        self,
+        dist: BaseDistribution,
+        template: InstallRequirement,
+        factory: Factory,
+    ) -> None:
+        self.dist = dist
+        self._ireq = _make_install_req_from_dist(dist, template)
+        self._factory = factory
+        self._version = None
+
+        # This is just logging some messages, so we can do it eagerly.
+        # The returned dist would be exactly the same as self.dist because we
+        # set satisfied_by in _make_install_req_from_dist.
+        # TODO: Supply reason based on force_reinstall and upgrade_strategy.
+        skip_reason = "already satisfied"
+        factory.preparer.prepare_installed_requirement(self._ireq, skip_reason)
+
+    def __str__(self) -> str:
+        return str(self.dist)
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}({self.dist!r})"
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, AlreadyInstalledCandidate):
+            return NotImplemented
+        return self.name == other.name and self.version == other.version
+
+    def __hash__(self) -> int:
+        return hash((self.name, self.version))
+
+    @property
+    def project_name(self) -> NormalizedName:
+        return self.dist.canonical_name
+
+    @property
+    def name(self) -> str:
+        return self.project_name
+
+    @property
+    def version(self) -> Version:
+        if self._version is None:
+            self._version = self.dist.version
+        return self._version
+
+    @property
+    def is_editable(self) -> bool:
+        return self.dist.editable
+
+    def format_for_error(self) -> str:
+        return f"{self.name} {self.version} (Installed)"
+
+    def iter_dependencies(self, with_requires: bool) -> Iterable[Requirement | None]:
+        if not with_requires:
+            return
+
+        try:
+            for r in self.dist.iter_dependencies():
+                yield from self._factory.make_requirements_from_spec(str(r), self._ireq)
+        except InvalidRequirement as exc:
+            raise InvalidInstalledPackage(dist=self.dist, invalid_exc=exc) from None
+
+    def get_install_requirement(self) -> InstallRequirement | None:
+        return None
+
+
+class ExtrasCandidate(Candidate):
+    """A candidate that has 'extras', indicating additional dependencies.
+
+    Requirements can be for a project with dependencies, something like
+    foo[extra].  The extras don't affect the project/version being installed
+    directly, but indicate that we need additional dependencies. We model that
+    by having an artificial ExtrasCandidate that wraps the "base" candidate.
+
+    The ExtrasCandidate differs from the base in the following ways:
+
+    1. It has a unique name, of the form foo[extra]. This causes the resolver
+       to treat it as a separate node in the dependency graph.
+    2. When we're getting the candidate's dependencies,
+       a) We specify that we want the extra dependencies as well.
+       b) We add a dependency on the base candidate.
+          See below for why this is needed.
+    3. We return None for the underlying InstallRequirement, as the base
+       candidate will provide it, and we don't want to end up with duplicates.
+
+    The dependency on the base candidate is needed so that the resolver can't
+    decide that it should recommend foo[extra1] version 1.0 and foo[extra2]
+    version 2.0. Having those candidates depend on foo=1.0 and foo=2.0
+    respectively forces the resolver to recognise that this is a conflict.
+    """
+
+    def __init__(
+        self,
+        base: BaseCandidate,
+        extras: frozenset[str],
+        *,
+        comes_from: InstallRequirement | None = None,
+    ) -> None:
+        """
+        :param comes_from: the InstallRequirement that led to this candidate if it
+            differs from the base's InstallRequirement. This will often be the
+            case in the sense that this candidate's requirement has the extras
+            while the base's does not. Unlike the InstallRequirement backed
+            candidates, this requirement is used solely for reporting purposes,
+            it does not do any leg work.
+        """
+        self.base = base
+        self.extras = frozenset(canonicalize_name(e) for e in extras)
+        self._comes_from = comes_from if comes_from is not None else self.base._ireq
+
+    def __str__(self) -> str:
+        name, rest = str(self.base).split(" ", 1)
+        return "{}[{}] {}".format(name, ",".join(self.extras), rest)
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}(base={self.base!r}, extras={self.extras!r})"
+
+    def __hash__(self) -> int:
+        return hash((self.base, self.extras))
+
+    def __eq__(self, other: Any) -> bool:
+        if isinstance(other, self.__class__):
+            return self.base == other.base and self.extras == other.extras
+        return False
+
+    @property
+    def project_name(self) -> NormalizedName:
+        return self.base.project_name
+
+    @property
+    def name(self) -> str:
+        """The normalised name of the project the candidate refers to"""
+        return format_name(self.base.project_name, self.extras)
+
+    @property
+    def version(self) -> Version:
+        return self.base.version
+
+    def format_for_error(self) -> str:
+        return "{} [{}]".format(
+            self.base.format_for_error(), ", ".join(sorted(self.extras))
+        )
+
+    @property
+    def is_installed(self) -> bool:
+        return self.base.is_installed
+
+    @property
+    def is_editable(self) -> bool:
+        return self.base.is_editable
+
+    @property
+    def source_link(self) -> Link | None:
+        return self.base.source_link
+
+    def iter_dependencies(self, with_requires: bool) -> Iterable[Requirement | None]:
+        factory = self.base._factory
+
+        # Add a dependency on the exact base
+        # (See note 2b in the class docstring)
+        yield factory.make_requirement_from_candidate(self.base)
+        if not with_requires:
+            return
+
+        # The user may have specified extras that the candidate doesn't
+        # support. We ignore any unsupported extras here.
+        valid_extras = self.extras.intersection(self.base.dist.iter_provided_extras())
+        invalid_extras = self.extras.difference(self.base.dist.iter_provided_extras())
+        for extra in sorted(invalid_extras):
+            logger.warning(
+                "%s %s does not provide the extra '%s'",
+                self.base.name,
+                self.version,
+                extra,
+            )
+
+        for r in self.base.dist.iter_dependencies(valid_extras):
+            yield from factory.make_requirements_from_spec(
+                str(r),
+                self._comes_from,
+                valid_extras,
+            )
+
+    def get_install_requirement(self) -> InstallRequirement | None:
+        # We don't return anything here, because we always
+        # depend on the base candidate, and we'll get the
+        # install requirement from that.
+        return None
+
+
+class RequiresPythonCandidate(Candidate):
+    is_installed = False
+    source_link = None
+
+    def __init__(self, py_version_info: tuple[int, ...] | None) -> None:
+        if py_version_info is not None:
+            version_info = normalize_version_info(py_version_info)
+        else:
+            version_info = sys.version_info[:3]
+        self._version = Version(".".join(str(c) for c in version_info))
+
+    # We don't need to implement __eq__() and __ne__() since there is always
+    # only one RequiresPythonCandidate in a resolution, i.e. the host Python.
+    # The built-in object.__eq__() and object.__ne__() do exactly what we want.
+
+    def __str__(self) -> str:
+        return f"Python {self._version}"
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}({self._version!r})"
+
+    @property
+    def project_name(self) -> NormalizedName:
+        return REQUIRES_PYTHON_IDENTIFIER
+
+    @property
+    def name(self) -> str:
+        return REQUIRES_PYTHON_IDENTIFIER
+
+    @property
+    def version(self) -> Version:
+        return self._version
+
+    def format_for_error(self) -> str:
+        return f"Python {self.version}"
+
+    def iter_dependencies(self, with_requires: bool) -> Iterable[Requirement | None]:
+        return ()
+
+    def get_install_requirement(self) -> InstallRequirement | None:
+        return None
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/factory.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/factory.py
new file mode 100644
index 0000000000000000000000000000000000000000..c9fb839d4a0ff83d1b0cabe84ef056c8c3ad7cac
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/factory.py
@@ -0,0 +1,901 @@
+from __future__ import annotations
+
+import contextlib
+import copy
+import functools
+import logging
+from collections.abc import Callable, Iterable, Iterator, Mapping, Sequence
+from typing import (
+    TYPE_CHECKING,
+    NamedTuple,
+    Protocol,
+    TypeVar,
+    cast,
+)
+
+from pip._vendor.packaging.requirements import InvalidRequirement
+from pip._vendor.packaging.specifiers import SpecifierSet
+from pip._vendor.packaging.utils import NormalizedName, canonicalize_name
+from pip._vendor.packaging.version import InvalidVersion, Version
+from pip._vendor.resolvelib import ResolutionImpossible
+from pip._vendor.rich.markup import escape
+
+from pip._internal.cache import CacheEntry, WheelCache
+from pip._internal.exceptions import (
+    DistributionNotFound,
+    InstallationError,
+    InvalidInstalledPackage,
+    MetadataInconsistent,
+    MetadataInvalid,
+    UnsupportedPythonVersion,
+    UnsupportedWheel,
+)
+from pip._internal.index.package_finder import PackageFinder
+from pip._internal.metadata import BaseDistribution, get_default_environment
+from pip._internal.models.link import Link
+from pip._internal.models.wheel import Wheel
+from pip._internal.operations.prepare import RequirementPreparer
+from pip._internal.req.constructors import (
+    install_req_drop_extras,
+    install_req_from_link_and_ireq,
+)
+from pip._internal.req.req_install import (
+    InstallRequirement,
+    check_invalid_constraint_type,
+)
+from pip._internal.resolution.base import InstallRequirementProvider
+from pip._internal.utils.compatibility_tags import get_supported
+from pip._internal.utils.hashes import Hashes
+from pip._internal.utils.packaging import get_requirement
+from pip._internal.utils.virtualenv import running_under_virtualenv
+
+from .base import Candidate, Constraint, Requirement
+from .candidates import (
+    AlreadyInstalledCandidate,
+    BaseCandidate,
+    EditableCandidate,
+    ExtrasCandidate,
+    LinkCandidate,
+    RequiresPythonCandidate,
+    as_base_candidate,
+)
+from .found_candidates import FoundCandidates, IndexCandidateInfo
+from .requirements import (
+    ExplicitRequirement,
+    RequiresPythonRequirement,
+    SpecifierRequirement,
+    SpecifierWithoutExtrasRequirement,
+    UnsatisfiableRequirement,
+)
+
+if TYPE_CHECKING:
+
+    class ConflictCause(Protocol):
+        requirement: RequiresPythonRequirement
+        parent: Candidate
+
+
+logger = logging.getLogger(__name__)
+
+C = TypeVar("C")
+Cache = dict[Link, C]
+
+
+class CollectedRootRequirements(NamedTuple):
+    requirements: list[Requirement]
+    constraints: dict[str, Constraint]
+    user_requested: dict[str, int]
+
+
+class Factory:
+    def __init__(
+        self,
+        finder: PackageFinder,
+        preparer: RequirementPreparer,
+        make_install_req: InstallRequirementProvider,
+        wheel_cache: WheelCache | None,
+        use_user_site: bool,
+        force_reinstall: bool,
+        ignore_installed: bool,
+        ignore_requires_python: bool,
+        py_version_info: tuple[int, ...] | None = None,
+    ) -> None:
+        self._finder = finder
+        self.preparer = preparer
+        self._wheel_cache = wheel_cache
+        self._python_candidate = RequiresPythonCandidate(py_version_info)
+        self._make_install_req_from_spec = make_install_req
+        self._use_user_site = use_user_site
+        self._force_reinstall = force_reinstall
+        self._ignore_requires_python = ignore_requires_python
+
+        self._build_failures: Cache[InstallationError] = {}
+        self._link_candidate_cache: Cache[LinkCandidate] = {}
+        self._editable_candidate_cache: Cache[EditableCandidate] = {}
+        self._installed_candidate_cache: dict[str, AlreadyInstalledCandidate] = {}
+        self._extras_candidate_cache: dict[
+            tuple[int, frozenset[NormalizedName]], ExtrasCandidate
+        ] = {}
+        self._supported_tags_cache = get_supported()
+
+        if not ignore_installed:
+            env = get_default_environment()
+            self._installed_dists = {
+                dist.canonical_name: dist
+                for dist in env.iter_installed_distributions(local_only=False)
+            }
+        else:
+            self._installed_dists = {}
+
+    @property
+    def force_reinstall(self) -> bool:
+        return self._force_reinstall
+
+    def _fail_if_link_is_unsupported_wheel(self, link: Link) -> None:
+        if not link.is_wheel:
+            return
+        wheel = Wheel(link.filename)
+        if wheel.supported(self._finder.target_python.get_unsorted_tags()):
+            return
+        msg = f"{link.filename} is not a supported wheel on this platform."
+        raise UnsupportedWheel(msg)
+
+    def _make_extras_candidate(
+        self,
+        base: BaseCandidate,
+        extras: frozenset[str],
+        *,
+        comes_from: InstallRequirement | None = None,
+    ) -> ExtrasCandidate:
+        cache_key = (id(base), frozenset(canonicalize_name(e) for e in extras))
+        try:
+            candidate = self._extras_candidate_cache[cache_key]
+        except KeyError:
+            candidate = ExtrasCandidate(base, extras, comes_from=comes_from)
+            self._extras_candidate_cache[cache_key] = candidate
+        return candidate
+
+    def _make_candidate_from_dist(
+        self,
+        dist: BaseDistribution,
+        extras: frozenset[str],
+        template: InstallRequirement,
+    ) -> Candidate:
+        try:
+            base = self._installed_candidate_cache[dist.canonical_name]
+        except KeyError:
+            base = AlreadyInstalledCandidate(dist, template, factory=self)
+            self._installed_candidate_cache[dist.canonical_name] = base
+        if not extras:
+            return base
+        return self._make_extras_candidate(base, extras, comes_from=template)
+
+    def _make_candidate_from_link(
+        self,
+        link: Link,
+        extras: frozenset[str],
+        template: InstallRequirement,
+        name: NormalizedName | None,
+        version: Version | None,
+    ) -> Candidate | None:
+        base: BaseCandidate | None = self._make_base_candidate_from_link(
+            link, template, name, version
+        )
+        if not extras or base is None:
+            return base
+        return self._make_extras_candidate(base, extras, comes_from=template)
+
+    def _make_base_candidate_from_link(
+        self,
+        link: Link,
+        template: InstallRequirement,
+        name: NormalizedName | None,
+        version: Version | None,
+    ) -> BaseCandidate | None:
+        # TODO: Check already installed candidate, and use it if the link and
+        # editable flag match.
+
+        if link in self._build_failures:
+            # We already tried this candidate before, and it does not build.
+            # Don't bother trying again.
+            return None
+
+        if template.editable:
+            if link not in self._editable_candidate_cache:
+                try:
+                    self._editable_candidate_cache[link] = EditableCandidate(
+                        link,
+                        template,
+                        factory=self,
+                        name=name,
+                        version=version,
+                    )
+                except (MetadataInconsistent, MetadataInvalid) as e:
+                    logger.info(
+                        "Discarding [blue underline]%s[/]: [yellow]%s[reset]",
+                        escape(str(link)),
+                        escape(str(e)),
+                        extra={"markup": True},
+                    )
+                    self._build_failures[link] = e
+                    return None
+
+            return self._editable_candidate_cache[link]
+        else:
+            if link not in self._link_candidate_cache:
+                try:
+                    self._link_candidate_cache[link] = LinkCandidate(
+                        link,
+                        template,
+                        factory=self,
+                        name=name,
+                        version=version,
+                    )
+                except MetadataInconsistent as e:
+                    logger.info(
+                        "Discarding [blue underline]%s[/]: [yellow]%s[reset]",
+                        escape(str(link)),
+                        escape(str(e)),
+                        extra={"markup": True},
+                    )
+                    self._build_failures[link] = e
+                    return None
+            return self._link_candidate_cache[link]
+
+    def _iter_found_candidates(
+        self,
+        ireqs: Sequence[InstallRequirement],
+        specifier: SpecifierSet,
+        hashes: Hashes,
+        prefers_installed: bool,
+        incompatible_ids: set[int],
+        constraint_hash_options: dict[str, list[str]] | None = None,
+    ) -> Iterable[Candidate]:
+        if not ireqs:
+            return ()
+
+        # The InstallRequirement implementation requires us to give it a
+        # "template". Here we just choose the first requirement to represent
+        # all of them.
+        # Hopefully the Project model can correct this mismatch in the future.
+        template = ireqs[0]
+        assert template.req, "Candidates found on index must be PEP 508"
+        if (
+            constraint_hash_options
+            and not template.hash_options
+            and any(constraint_hash_options.values())
+        ):
+            template = copy.copy(template)
+            template.hash_options = {
+                k: list(v) for k, v in constraint_hash_options.items()
+            }
+        assert template.req  # to prevent mypy from being confused by the copy
+        name = canonicalize_name(template.req.name)
+
+        extras: frozenset[str] = frozenset()
+        for ireq in ireqs:
+            assert ireq.req, "Candidates found on index must be PEP 508"
+            specifier &= ireq.req.specifier
+            hashes &= ireq.hashes(trust_internet=False)
+            extras |= frozenset(ireq.extras)
+
+        def _get_installed_candidate() -> Candidate | None:
+            """Get the candidate for the currently-installed version."""
+            # If --force-reinstall is set, we want the version from the index
+            # instead, so we "pretend" there is nothing installed.
+            if self._force_reinstall:
+                return None
+            try:
+                installed_dist = self._installed_dists[name]
+            except KeyError:
+                return None
+
+            try:
+                # Don't use the installed distribution if its version
+                # does not fit the current dependency graph.
+                if not specifier.contains(installed_dist.version, prereleases=True):
+                    return None
+            except InvalidVersion as e:
+                raise InvalidInstalledPackage(dist=installed_dist, invalid_exc=e)
+
+            candidate = self._make_candidate_from_dist(
+                dist=installed_dist,
+                extras=extras,
+                template=template,
+            )
+            # The candidate is a known incompatibility. Don't use it.
+            if id(candidate) in incompatible_ids:
+                return None
+            return candidate
+
+        def iter_index_candidate_infos() -> Iterator[IndexCandidateInfo]:
+            result = self._finder.find_best_candidate(
+                project_name=name,
+                specifier=specifier,
+                hashes=hashes,
+            )
+            icans = result.applicable_candidates
+
+            # PEP 592: Yanked releases are ignored unless the specifier
+            # explicitly pins a version (via '==' or '===') that can be
+            # solely satisfied by a yanked release.
+            all_yanked = all(ican.link.is_yanked for ican in icans)
+
+            def is_pinned(specifier: SpecifierSet) -> bool:
+                for sp in specifier:
+                    if sp.operator == "===":
+                        return True
+                    if sp.operator != "==":
+                        continue
+                    if sp.version.endswith(".*"):
+                        continue
+                    return True
+                return False
+
+            pinned = is_pinned(specifier)
+
+            # PackageFinder returns earlier versions first, so we reverse.
+            for ican in reversed(icans):
+                if not (all_yanked and pinned) and ican.link.is_yanked:
+                    continue
+                func = functools.partial(
+                    self._make_candidate_from_link,
+                    link=ican.link,
+                    extras=extras,
+                    template=template,
+                    name=name,
+                    version=ican.version,
+                )
+                yield ican.version, func
+
+        return FoundCandidates(
+            iter_index_candidate_infos,
+            _get_installed_candidate(),
+            prefers_installed,
+            incompatible_ids,
+        )
+
+    def _iter_explicit_candidates_from_base(
+        self,
+        base_requirements: Iterable[Requirement],
+        extras: frozenset[str],
+    ) -> Iterator[Candidate]:
+        """Produce explicit candidates from the base given an extra-ed package.
+
+        :param base_requirements: Requirements known to the resolver. The
+            requirements are guaranteed to not have extras.
+        :param extras: The extras to inject into the explicit requirements'
+            candidates.
+        """
+        for req in base_requirements:
+            lookup_cand, _ = req.get_candidate_lookup()
+            if lookup_cand is None:  # Not explicit.
+                continue
+            # We've stripped extras from the identifier, and should always
+            # get a BaseCandidate here, unless there's a bug elsewhere.
+            base_cand = as_base_candidate(lookup_cand)
+            assert base_cand is not None, "no extras here"
+            yield self._make_extras_candidate(base_cand, extras)
+
+    def _iter_candidates_from_constraints(
+        self,
+        identifier: str,
+        constraint: Constraint,
+        template: InstallRequirement,
+    ) -> Iterator[Candidate]:
+        """Produce explicit candidates from constraints.
+
+        This creates "fake" InstallRequirement objects that are basically clones
+        of what "should" be the template, but with original_link set to link.
+        """
+        extras: frozenset[str] = frozenset()
+        base_identifier = identifier
+        with contextlib.suppress(InvalidRequirement):
+            parsed_requirement = get_requirement(identifier)
+            if parsed_requirement.name != identifier:
+                base_identifier = canonicalize_name(parsed_requirement.name)
+                extras = frozenset(parsed_requirement.extras)
+
+        for link in constraint.links:
+            self._fail_if_link_is_unsupported_wheel(link)
+            base_candidate = self._make_base_candidate_from_link(
+                link,
+                template=install_req_from_link_and_ireq(link, template),
+                name=canonicalize_name(base_identifier),
+                version=None,
+            )
+            if base_candidate is None:
+                continue
+            if extras:
+                yield self._make_extras_candidate(base_candidate, extras)
+            else:
+                yield base_candidate
+
+    def find_candidates(
+        self,
+        identifier: str,
+        requirements: Mapping[str, Iterable[Requirement]],
+        incompatibilities: Mapping[str, Iterator[Candidate]],
+        constraint: Constraint,
+        prefers_installed: bool,
+        is_satisfied_by: Callable[[Requirement, Candidate], bool],
+    ) -> Iterable[Candidate]:
+        # Collect basic lookup information from the requirements.
+        explicit_candidates: set[Candidate] = set()
+        ireqs: list[InstallRequirement] = []
+        for req in requirements[identifier]:
+            cand, ireq = req.get_candidate_lookup()
+            if cand is not None:
+                explicit_candidates.add(cand)
+            if ireq is not None:
+                ireqs.append(ireq)
+
+        # If the current identifier contains extras, add requires and explicit
+        # candidates from entries from extra-less identifier.
+        with contextlib.suppress(InvalidRequirement):
+            parsed_requirement = get_requirement(identifier)
+            if parsed_requirement.name != identifier:
+                explicit_candidates.update(
+                    self._iter_explicit_candidates_from_base(
+                        requirements.get(parsed_requirement.name, ()),
+                        frozenset(parsed_requirement.extras),
+                    ),
+                )
+                for req in requirements.get(parsed_requirement.name, []):
+                    _, ireq = req.get_candidate_lookup()
+                    if ireq is not None:
+                        ireqs.append(ireq)
+
+        # Add explicit candidates from constraints. We only do this if there are
+        # known ireqs, which represent requirements not already explicit. If
+        # there are no ireqs, we're constraining already-explicit requirements,
+        # which is handled later when we return the explicit candidates.
+        if ireqs:
+            try:
+                explicit_candidates.update(
+                    self._iter_candidates_from_constraints(
+                        identifier,
+                        constraint,
+                        template=ireqs[0],
+                    ),
+                )
+            except UnsupportedWheel:
+                # If we're constrained to install a wheel incompatible with the
+                # target architecture, no candidates will ever be valid.
+                return ()
+
+        # Since we cache all the candidates, incompatibility identification
+        # can be made quicker by comparing only the id() values.
+        incompat_ids = {id(c) for c in incompatibilities.get(identifier, ())}
+
+        # If none of the requirements want an explicit candidate, we can ask
+        # the finder for candidates.
+        if not explicit_candidates:
+            return self._iter_found_candidates(
+                ireqs,
+                constraint.specifier,
+                constraint.hashes,
+                prefers_installed,
+                incompat_ids,
+                constraint.hash_options,
+            )
+
+        return (
+            c
+            for c in explicit_candidates
+            if id(c) not in incompat_ids
+            and constraint.is_satisfied_by(c)
+            and all(is_satisfied_by(req, c) for req in requirements[identifier])
+        )
+
+    def _make_requirements_from_install_req(
+        self, ireq: InstallRequirement, requested_extras: Iterable[str]
+    ) -> Iterator[Requirement]:
+        """
+        Returns requirement objects associated with the given InstallRequirement. In
+        most cases this will be a single object but the following special cases exist:
+            - the InstallRequirement has markers that do not apply -> result is empty
+            - the InstallRequirement has both a constraint (or link) and extras
+                -> result is split in two requirement objects: one with the constraint
+                (or link) and one with the extra. This allows centralized constraint
+                handling for the base, resulting in fewer candidate rejections.
+        """
+        if not ireq.match_markers(requested_extras):
+            logger.info(
+                "Ignoring %s: markers '%s' don't match your environment",
+                ireq.name,
+                ireq.markers,
+            )
+        elif not ireq.link:
+            if ireq.extras and ireq.req is not None and ireq.req.specifier:
+                yield SpecifierWithoutExtrasRequirement(ireq)
+            yield SpecifierRequirement(ireq)
+        else:
+            self._fail_if_link_is_unsupported_wheel(ireq.link)
+            # Always make the link candidate for the base requirement to make it
+            # available to `find_candidates` for explicit candidate lookup for any
+            # set of extras.
+            # The extras are required separately via a second requirement.
+            cand = self._make_base_candidate_from_link(
+                ireq.link,
+                template=install_req_drop_extras(ireq) if ireq.extras else ireq,
+                name=canonicalize_name(ireq.name) if ireq.name else None,
+                version=None,
+            )
+            if cand is None:
+                # There's no way we can satisfy a URL requirement if the underlying
+                # candidate fails to build. An unnamed URL must be user-supplied, so
+                # we fail eagerly. If the URL is named, an unsatisfiable requirement
+                # can make the resolver do the right thing, either backtrack (and
+                # maybe find some other requirement that's buildable) or raise a
+                # ResolutionImpossible eventually.
+                if not ireq.name:
+                    raise self._build_failures[ireq.link]
+                yield UnsatisfiableRequirement(canonicalize_name(ireq.name))
+            else:
+                # require the base from the link
+                yield self.make_requirement_from_candidate(cand)
+                if ireq.extras:
+                    # require the extras on top of the base candidate
+                    yield self.make_requirement_from_candidate(
+                        self._make_extras_candidate(cand, frozenset(ireq.extras))
+                    )
+
+    def collect_root_requirements(
+        self, root_ireqs: list[InstallRequirement]
+    ) -> CollectedRootRequirements:
+        collected = CollectedRootRequirements([], {}, {})
+        for i, ireq in enumerate(root_ireqs):
+            if ireq.constraint:
+                # Ensure we only accept valid constraints
+                problem = check_invalid_constraint_type(ireq)
+                if problem:
+                    raise InstallationError(problem)
+                if not ireq.match_markers():
+                    continue
+                assert ireq.name, "Constraint must be named"
+                name = canonicalize_name(ireq.name)
+                if name in collected.constraints:
+                    collected.constraints[name] &= ireq
+                else:
+                    collected.constraints[name] = Constraint.from_ireq(ireq)
+            else:
+                reqs = list(
+                    self._make_requirements_from_install_req(
+                        ireq,
+                        requested_extras=(),
+                    )
+                )
+                if not reqs:
+                    continue
+                template = reqs[0]
+                if ireq.user_supplied and template.name not in collected.user_requested:
+                    collected.user_requested[template.name] = i
+                collected.requirements.extend(reqs)
+        # Put requirements with extras at the end of the root requires. This does not
+        # affect resolvelib's picking preference but it does affect its initial criteria
+        # population: by putting extras at the end we enable the candidate finder to
+        # present resolvelib with a smaller set of candidates to resolvelib, already
+        # taking into account any non-transient constraints on the associated base. This
+        # means resolvelib will have fewer candidates to visit and reject.
+        # Python's list sort is stable, meaning relative order is kept for objects with
+        # the same key.
+        collected.requirements.sort(key=lambda r: r.name != r.project_name)
+        return collected
+
+    def make_requirement_from_candidate(
+        self, candidate: Candidate
+    ) -> ExplicitRequirement:
+        return ExplicitRequirement(candidate)
+
+    def make_requirements_from_spec(
+        self,
+        specifier: str,
+        comes_from: InstallRequirement | None,
+        requested_extras: Iterable[str] = (),
+    ) -> Iterator[Requirement]:
+        """
+        Returns requirement objects associated with the given specifier. In most cases
+        this will be a single object but the following special cases exist:
+            - the specifier has markers that do not apply -> result is empty
+            - the specifier has both a constraint and extras -> result is split
+                in two requirement objects: one with the constraint and one with the
+                extra. This allows centralized constraint handling for the base,
+                resulting in fewer candidate rejections.
+        """
+        ireq = self._make_install_req_from_spec(specifier, comes_from)
+        return self._make_requirements_from_install_req(ireq, requested_extras)
+
+    def make_requires_python_requirement(
+        self,
+        specifier: SpecifierSet,
+    ) -> Requirement | None:
+        if self._ignore_requires_python:
+            return None
+        # Don't bother creating a dependency for an empty Requires-Python.
+        if not str(specifier):
+            return None
+        return RequiresPythonRequirement(specifier, self._python_candidate)
+
+    def get_wheel_cache_entry(self, link: Link, name: str | None) -> CacheEntry | None:
+        """Look up the link in the wheel cache.
+
+        If ``preparer.require_hashes`` is True, don't use the wheel cache,
+        because cached wheels, always built locally, have different hashes
+        than the files downloaded from the index server and thus throw false
+        hash mismatches. Furthermore, cached wheels at present have
+        nondeterministic contents due to file modification times.
+        """
+        if self._wheel_cache is None:
+            return None
+        return self._wheel_cache.get_cache_entry(
+            link=link,
+            package_name=name,
+            supported_tags=self._supported_tags_cache,
+        )
+
+    def get_dist_to_uninstall(self, candidate: Candidate) -> BaseDistribution | None:
+        # TODO: Are there more cases this needs to return True? Editable?
+        dist = self._installed_dists.get(candidate.project_name)
+        if dist is None:  # Not installed, no uninstallation required.
+            return None
+
+        # We're installing into global site. The current installation must
+        # be uninstalled, no matter it's in global or user site, because the
+        # user site installation has precedence over global.
+        if not self._use_user_site:
+            return dist
+
+        # We're installing into user site. Remove the user site installation.
+        if dist.in_usersite:
+            return dist
+
+        # We're installing into user site, but the installed incompatible
+        # package is in global site. We can't uninstall that, and would let
+        # the new user installation to "shadow" it. But shadowing won't work
+        # in virtual environments, so we error out.
+        if running_under_virtualenv() and dist.in_site_packages:
+            message = (
+                f"Will not install to the user site because it will lack "
+                f"sys.path precedence to {dist.raw_name} in {dist.location}"
+            )
+            raise InstallationError(message)
+        return None
+
+    def _report_requires_python_error(
+        self, causes: Sequence[ConflictCause]
+    ) -> UnsupportedPythonVersion:
+        assert causes, "Requires-Python error reported with no cause"
+
+        version = self._python_candidate.version
+
+        if len(causes) == 1:
+            specifier = str(causes[0].requirement.specifier)
+            message = (
+                f"Package {causes[0].parent.name!r} requires a different "
+                f"Python: {version} not in {specifier!r}"
+            )
+            return UnsupportedPythonVersion(message)
+
+        message = f"Packages require a different Python. {version} not in:"
+        for cause in causes:
+            package = cause.parent.format_for_error()
+            specifier = str(cause.requirement.specifier)
+            message += f"\n{specifier!r} (required by {package})"
+        return UnsupportedPythonVersion(message)
+
+    def _report_single_requirement_conflict(
+        self, req: Requirement, parent: Candidate | None
+    ) -> DistributionNotFound:
+        if parent is None:
+            req_disp = str(req)
+        else:
+            req_disp = f"{req} (from {parent.name})"
+
+        cands = self._finder.find_all_candidates(req.project_name)
+        skipped_by_requires_python = self._finder.requires_python_skipped_reasons()
+
+        versions_set: set[Version] = set()
+        yanked_versions_set: set[Version] = set()
+        for c in cands:
+            is_yanked = c.link.is_yanked if c.link else False
+            if is_yanked:
+                yanked_versions_set.add(c.version)
+            else:
+                versions_set.add(c.version)
+
+        versions = [str(v) for v in sorted(versions_set)]
+        yanked_versions = [str(v) for v in sorted(yanked_versions_set)]
+
+        if yanked_versions:
+            # Saying "version X is yanked" isn't entirely accurate.
+            # https://github.com/pypa/pip/issues/11745#issuecomment-1402805842
+            logger.critical(
+                "Ignored the following yanked versions: %s",
+                ", ".join(yanked_versions) or "none",
+            )
+        if skipped_by_requires_python:
+            logger.critical(
+                "Ignored the following versions that require a different python "
+                "version: %s",
+                "; ".join(skipped_by_requires_python) or "none",
+            )
+
+        # Check if only final releases are allowed for this package
+        version_type = "version"
+        allows_pre = None
+        if self._finder.release_control is not None:
+            allows_pre = self._finder.release_control.allows_prereleases(
+                canonicalize_name(req.project_name)
+            )
+            if allows_pre is False:
+                version_type = "final version"
+
+        if len(cands) == 1 and cands[0].locked:
+            # The package finder ensures that requirements from pylock files
+            # have exactly one candidate. So we can provide a specific error
+            # message in this case.
+            if cands[0].version.is_prerelease and allows_pre is False:
+                logger.critical(
+                    "A pre-release version %s is specified in a provided lock file "
+                    "for %s but only final versions are allowed",
+                    cands[0].version,
+                    cands[0].name,
+                )
+            else:
+                logger.critical(
+                    "The requirement %s is not compatible with "
+                    "version %s specified in a provided lock file",
+                    req_disp,
+                    ", ".join(versions),
+                )
+        else:
+            logger.critical(
+                "Could not find a %s that satisfies the requirement %s "
+                "(from versions: %s)",
+                version_type,
+                req_disp,
+                ", ".join(versions) or "none",
+            )
+        if str(req) == "requirements.txt":
+            logger.info(
+                "HINT: You are attempting to install a package literally "
+                'named "requirements.txt" (which cannot exist). Consider '
+                "using the '-r' flag to install the packages listed in "
+                "requirements.txt"
+            )
+
+        return DistributionNotFound(f"No matching distribution found for {req}")
+
+    def _has_any_candidates(self, project_name: str) -> bool:
+        """
+        Check if there are any candidates available for the project name.
+        """
+        return any(
+            self.find_candidates(
+                project_name,
+                requirements={project_name: []},
+                incompatibilities={},
+                constraint=Constraint.empty(),
+                prefers_installed=True,
+                is_satisfied_by=lambda r, c: True,
+            )
+        )
+
+    def get_installation_error(
+        self,
+        e: ResolutionImpossible[Requirement, Candidate],
+        constraints: dict[str, Constraint],
+    ) -> InstallationError:
+        assert e.causes, "Installation error reported with no cause"
+
+        # If one of the things we can't solve is "we need Python X.Y",
+        # that is what we report.
+        requires_python_causes = [
+            cause
+            for cause in e.causes
+            if isinstance(cause.requirement, RequiresPythonRequirement)
+            and not cause.requirement.is_satisfied_by(self._python_candidate)
+        ]
+        if requires_python_causes:
+            # The comprehension above makes sure all Requirement instances are
+            # RequiresPythonRequirement, so let's cast for convenience.
+            return self._report_requires_python_error(
+                cast("Sequence[ConflictCause]", requires_python_causes),
+            )
+
+        # Otherwise, we have a set of causes which can't all be satisfied
+        # at once.
+
+        # The simplest case is when we have *one* cause that can't be
+        # satisfied. We just report that case.
+        if len(e.causes) == 1:
+            req, parent = next(iter(e.causes))
+            if req.name not in constraints:
+                return self._report_single_requirement_conflict(req, parent)
+
+        # OK, we now have a list of requirements that can't all be
+        # satisfied at once.
+
+        # A couple of formatting helpers
+        def text_join(parts: list[str]) -> str:
+            if len(parts) == 1:
+                return parts[0]
+
+            return ", ".join(parts[:-1]) + " and " + parts[-1]
+
+        def describe_trigger(parent: Candidate) -> str:
+            ireq = parent.get_install_requirement()
+            if not ireq or not ireq.comes_from:
+                return f"{parent.name}=={parent.version}"
+            if isinstance(ireq.comes_from, InstallRequirement):
+                return str(ireq.comes_from.name)
+            return str(ireq.comes_from)
+
+        triggers = set()
+        for req, parent in e.causes:
+            if parent is None:
+                # This is a root requirement, so we can report it directly
+                trigger = req.format_for_error()
+            else:
+                trigger = describe_trigger(parent)
+            triggers.add(trigger)
+
+        if triggers:
+            info = text_join(sorted(triggers))
+        else:
+            info = "the requested packages"
+
+        msg = (
+            f"Cannot install {info} because these package versions "
+            "have conflicting dependencies."
+        )
+        logger.critical(msg)
+        msg = "\nThe conflict is caused by:"
+
+        relevant_constraints = set()
+        for req, parent in e.causes:
+            if req.name in constraints:
+                relevant_constraints.add(req.name)
+            msg = msg + "\n    "
+            if parent:
+                msg = msg + f"{parent.name} {parent.version} depends on "
+            else:
+                msg = msg + "The user requested "
+            msg = msg + req.format_for_error()
+        for key in relevant_constraints:
+            constraint_text = f"{key}{constraints[key].format_for_error()}"
+            msg += f"\n    The user requested (constraint) {constraint_text}"
+
+        # Check for causes that had no candidates
+        causes = set()
+        for req, _ in e.causes:
+            causes.add(req.name)
+
+        no_candidates = {c for c in causes if not self._has_any_candidates(c)}
+        if no_candidates:
+            msg = (
+                msg
+                + "\n\n"
+                + "Additionally, some packages in these conflicts have no "
+                + "matching distributions available for your environment:"
+                + "\n    "
+                + "\n    ".join(sorted(no_candidates))
+            )
+
+        msg = (
+            msg
+            + "\n\n"
+            + "To fix this you could try to:\n"
+            + "1. loosen the range of package versions you've specified\n"
+            + "2. remove package versions to allow pip to attempt to solve "
+            + "the dependency conflict\n"
+        )
+
+        logger.info(msg)
+
+        return DistributionNotFound(
+            "ResolutionImpossible: for help visit "
+            "https://pip.pypa.io/en/latest/topics/dependency-resolution/"
+            "#dealing-with-dependency-conflicts"
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/found_candidates.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/found_candidates.py
new file mode 100644
index 0000000000000000000000000000000000000000..67016735890609a4501f018f08a8cd12ca4f85b1
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/found_candidates.py
@@ -0,0 +1,166 @@
+"""Utilities to lazily create and visit candidates found.
+
+Creating and visiting a candidate is a *very* costly operation. It involves
+fetching, extracting, potentially building modules from source, and verifying
+distribution metadata. It is therefore crucial for performance to keep
+everything here lazy all the way down, so we only touch candidates that we
+absolutely need, and not "download the world" when we only need one version of
+something.
+"""
+
+from __future__ import annotations
+
+import logging
+from collections.abc import Callable, Iterator, Sequence
+from typing import Any
+
+from pip._vendor.packaging.version import _BaseVersion
+
+from pip._internal.exceptions import MetadataInvalid
+
+from .base import Candidate
+
+logger = logging.getLogger(__name__)
+
+IndexCandidateInfo = tuple[_BaseVersion, Callable[[], Candidate | None]]
+
+
+def _iter_built(infos: Iterator[IndexCandidateInfo]) -> Iterator[Candidate]:
+    """Iterator for ``FoundCandidates``.
+
+    This iterator is used when the package is not already installed. Candidates
+    from index come later in their normal ordering.
+    """
+    versions_found: set[_BaseVersion] = set()
+    for version, func in infos:
+        if version in versions_found:
+            continue
+        try:
+            candidate = func()
+        except MetadataInvalid as e:
+            logger.warning(
+                "Ignoring version %s of %s since it has invalid metadata:\n"
+                "%s\n"
+                "Please use pip<24.1 if you need to use this version.",
+                version,
+                e.ireq.name,
+                e,
+            )
+            # Mark version as found to avoid trying other candidates with the same
+            # version, since they most likely have invalid metadata as well.
+            versions_found.add(version)
+        else:
+            if candidate is None:
+                continue
+            yield candidate
+            versions_found.add(version)
+
+
+def _iter_built_with_prepended(
+    installed: Candidate, infos: Iterator[IndexCandidateInfo]
+) -> Iterator[Candidate]:
+    """Iterator for ``FoundCandidates``.
+
+    This iterator is used when the resolver prefers the already-installed
+    candidate and NOT to upgrade. The installed candidate is therefore
+    always yielded first, and candidates from index come later in their
+    normal ordering, except skipped when the version is already installed.
+    """
+    yield installed
+    versions_found: set[_BaseVersion] = {installed.version}
+    for version, func in infos:
+        if version in versions_found:
+            continue
+        candidate = func()
+        if candidate is None:
+            continue
+        yield candidate
+        versions_found.add(version)
+
+
+def _iter_built_with_inserted(
+    installed: Candidate, infos: Iterator[IndexCandidateInfo]
+) -> Iterator[Candidate]:
+    """Iterator for ``FoundCandidates``.
+
+    This iterator is used when the resolver prefers to upgrade an
+    already-installed package. Candidates from index are returned in their
+    normal ordering, except replaced when the version is already installed.
+
+    The implementation iterates through and yields other candidates, inserting
+    the installed candidate exactly once before we start yielding older or
+    equivalent candidates, or after all other candidates if they are all newer.
+    """
+    versions_found: set[_BaseVersion] = set()
+    for version, func in infos:
+        if version in versions_found:
+            continue
+        # If the installed candidate is better, yield it first.
+        if installed.version >= version:
+            yield installed
+            versions_found.add(installed.version)
+        candidate = func()
+        if candidate is None:
+            continue
+        yield candidate
+        versions_found.add(version)
+
+    # If the installed candidate is older than all other candidates.
+    if installed.version not in versions_found:
+        yield installed
+
+
+class FoundCandidates(Sequence[Candidate]):
+    """A lazy sequence to provide candidates to the resolver.
+
+    The intended usage is to return this from `find_matches()` so the resolver
+    can iterate through the sequence multiple times, but only access the index
+    page when remote packages are actually needed. This improve performances
+    when suitable candidates are already installed on disk.
+    """
+
+    def __init__(
+        self,
+        get_infos: Callable[[], Iterator[IndexCandidateInfo]],
+        installed: Candidate | None,
+        prefers_installed: bool,
+        incompatible_ids: set[int],
+    ):
+        self._get_infos = get_infos
+        self._installed = installed
+        self._prefers_installed = prefers_installed
+        self._incompatible_ids = incompatible_ids
+        self._bool: bool | None = None
+
+    def __getitem__(self, index: Any) -> Any:
+        # Implemented to satisfy the ABC check. This is not needed by the
+        # resolver, and should not be used by the provider either (for
+        # performance reasons).
+        raise NotImplementedError("don't do this")
+
+    def __iter__(self) -> Iterator[Candidate]:
+        infos = self._get_infos()
+        if not self._installed:
+            iterator = _iter_built(infos)
+        elif self._prefers_installed:
+            iterator = _iter_built_with_prepended(self._installed, infos)
+        else:
+            iterator = _iter_built_with_inserted(self._installed, infos)
+        return (c for c in iterator if id(c) not in self._incompatible_ids)
+
+    def __len__(self) -> int:
+        # Implemented to satisfy the ABC check. This is not needed by the
+        # resolver, and should not be used by the provider either (for
+        # performance reasons).
+        raise NotImplementedError("don't do this")
+
+    def __bool__(self) -> bool:
+        if self._bool is not None:
+            return self._bool
+
+        if self._prefers_installed and self._installed:
+            self._bool = True
+            return True
+
+        self._bool = any(self)
+        return self._bool
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/provider.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/provider.py
new file mode 100644
index 0000000000000000000000000000000000000000..766fa8480da1dbd81c22a2a276720fc3307cdcd2
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/provider.py
@@ -0,0 +1,309 @@
+from __future__ import annotations
+
+import math
+from collections import defaultdict
+from collections.abc import Iterable, Iterator, Mapping, Sequence
+from functools import cache
+from typing import (
+    TYPE_CHECKING,
+    TypeVar,
+)
+
+from pip._vendor.resolvelib.providers import AbstractProvider
+
+from pip._internal.req.req_install import InstallRequirement
+
+from .base import Candidate, Constraint, Requirement
+from .candidates import REQUIRES_PYTHON_IDENTIFIER
+from .factory import Factory
+from .requirements import ExplicitRequirement
+
+if TYPE_CHECKING:
+    from pip._vendor.resolvelib.providers import Preference
+    from pip._vendor.resolvelib.resolvers import RequirementInformation
+
+    PreferenceInformation = RequirementInformation[Requirement, Candidate]
+
+    _ProviderBase = AbstractProvider[Requirement, Candidate, str]
+else:
+    _ProviderBase = AbstractProvider
+
+_CONFLICT_PRIORITY_THRESHOLD = 5
+
+# Notes on the relationship between the provider, the factory, and the
+# candidate and requirement classes.
+#
+# The provider is a direct implementation of the resolvelib class. Its role
+# is to deliver the API that resolvelib expects.
+#
+# Rather than work with completely abstract "requirement" and "candidate"
+# concepts as resolvelib does, pip has concrete classes implementing these two
+# ideas. The API of Requirement and Candidate objects are defined in the base
+# classes, but essentially map fairly directly to the equivalent provider
+# methods. In particular, `find_matches` and `is_satisfied_by` are
+# requirement methods, and `get_dependencies` is a candidate method.
+#
+# The factory is the interface to pip's internal mechanisms. It is stateless,
+# and is created by the resolver and held as a property of the provider. It is
+# responsible for creating Requirement and Candidate objects, and provides
+# services to those objects (access to pip's finder and preparer).
+
+
+D = TypeVar("D")
+V = TypeVar("V")
+
+
+def _get_with_identifier(
+    mapping: Mapping[str, V],
+    identifier: str,
+    default: D,
+) -> D | V:
+    """Get item from a package name lookup mapping with a resolver identifier.
+
+    This extra logic is needed when the target mapping is keyed by package
+    name, which cannot be directly looked up with an identifier (which may
+    contain requested extras). Additional logic is added to also look up a value
+    by "cleaning up" the extras from the identifier.
+    """
+    if identifier in mapping:
+        return mapping[identifier]
+    # HACK: Theoretically we should check whether this identifier is a valid
+    # "NAME[EXTRAS]" format, and parse out the name part with packaging or
+    # some regular expression. But since pip's resolver only spits out three
+    # kinds of identifiers: normalized PEP 503 names, normalized names plus
+    # extras, and Requires-Python, we can cheat a bit here.
+    name, open_bracket, _ = identifier.partition("[")
+    if open_bracket and name in mapping:
+        return mapping[name]
+    return default
+
+
+class PipProvider(_ProviderBase):
+    """Pip's provider implementation for resolvelib.
+
+    :params constraints: A mapping of constraints specified by the user. Keys
+        are canonicalized project names.
+    :params ignore_dependencies: Whether the user specified ``--no-deps``.
+    :params only_dependencies: Whether the user specified ``--only-deps``.
+    :params upgrade_strategy: The user-specified upgrade strategy.
+    :params user_requested: A set of canonicalized package names that the user
+        supplied for pip to install/upgrade.
+    """
+
+    def __init__(
+        self,
+        factory: Factory,
+        constraints: dict[str, Constraint],
+        ignore_dependencies: bool,
+        only_dependencies: bool,
+        upgrade_strategy: str,
+        user_requested: dict[str, int],
+    ) -> None:
+        self._factory = factory
+        self._constraints = constraints
+        self._ignore_dependencies = ignore_dependencies
+        self._only_dependencies = only_dependencies
+        self._upgrade_strategy = upgrade_strategy
+        self._user_requested = user_requested
+        self._conflict_counts: defaultdict[str, int] = defaultdict(int)
+        self._conflict_promoted: set[str] = set()
+
+    @property
+    def constraints(self) -> dict[str, Constraint]:
+        """Public view of user-specified constraints.
+
+        Exposes the provider's constraints mapping without encouraging
+        external callers to reach into private attributes.
+        """
+        return self._constraints
+
+    def identify(self, requirement_or_candidate: Requirement | Candidate) -> str:
+        return requirement_or_candidate.name
+
+    def narrow_requirement_selection(
+        self,
+        identifiers: Iterable[str],
+        resolutions: Mapping[str, Candidate],
+        candidates: Mapping[str, Iterator[Candidate]],
+        information: Mapping[str, Iterator[PreferenceInformation]],
+        backtrack_causes: Sequence[PreferenceInformation],
+    ) -> Iterable[str]:
+        """Produce a subset of identifiers that should be considered before others.
+
+        Currently pip narrows the following selection:
+            * Requires-Python, if present is always returned by itself
+            * Backtrack causes are considered next because they can be identified
+              in linear time here, whereas because get_preference() is called
+              for each identifier, it would be quadratic to check for them there.
+              Further, the current backtrack causes likely need to be resolved
+              before other requirements as a resolution can't be found while
+              there is a conflict.
+            * Identifiers that repeatedly appear as not-yet-pinned in conflicts
+              get promoted so they are resolved earlier. This lets their
+              constraints take effect before other packages pick a version.
+        """
+        backtrack_identifiers = set()
+        for info in backtrack_causes:
+            names = [info.requirement.name]
+            if info.parent is not None:
+                names.append(info.parent.name)
+            for name in names:
+                backtrack_identifiers.add(name)
+                if name not in resolutions:
+                    self._conflict_counts[name] += 1
+                    if self._conflict_counts[name] >= _CONFLICT_PRIORITY_THRESHOLD:
+                        self._conflict_promoted.add(name)
+
+        current_backtrack_causes = []
+        promoted = []
+        for identifier in identifiers:
+            if identifier == REQUIRES_PYTHON_IDENTIFIER:
+                return [identifier]
+
+            if identifier in backtrack_identifiers:
+                current_backtrack_causes.append(identifier)
+                continue
+
+            if identifier in self._conflict_promoted:
+                promoted.append(identifier)
+                continue
+
+        if current_backtrack_causes:
+            return current_backtrack_causes
+
+        if promoted:
+            return promoted
+
+        return identifiers
+
+    def get_preference(
+        self,
+        identifier: str,
+        resolutions: Mapping[str, Candidate],
+        candidates: Mapping[str, Iterator[Candidate]],
+        information: Mapping[str, Iterable[PreferenceInformation]],
+        backtrack_causes: Sequence[PreferenceInformation],
+    ) -> Preference:
+        """Produce a sort key for given requirement based on preference.
+
+        The lower the return value is, the more preferred this group of
+        arguments is.
+
+        Currently pip considers the following in order:
+
+        * Any requirement that is "direct", e.g., points to an explicit URL.
+        * Any requirement that is "pinned", i.e., contains the operator ``===``
+          or ``==`` without a wildcard.
+        * Any requirement that imposes an upper version limit, i.e., contains the
+          operator ``<``, ``<=``, ``~=``, or ``==`` with a wildcard. Because
+          pip prioritizes the latest version, preferring explicit upper bounds
+          can rule out infeasible candidates sooner. This does not imply that
+          upper bounds are good practice; they can make dependency management
+          and resolution harder.
+        * Order user-specified requirements as they are specified, placing
+          other requirements afterward.
+        * Any "non-free" requirement, i.e., one that contains at least one
+          operator, such as ``>=`` or ``!=``.
+        * Alphabetical order for consistency (aids debuggability).
+        """
+        try:
+            next(iter(information[identifier]))
+        except StopIteration:
+            # There is no information for this identifier, so there's no known
+            # candidates.
+            has_information = False
+        else:
+            has_information = True
+
+        if not has_information:
+            direct = False
+            ireqs: tuple[InstallRequirement | None, ...] = ()
+        else:
+            # Go through the information and for each requirement,
+            # check if it's explicit (e.g., a direct link) and get the
+            # InstallRequirement (the second element) from get_candidate_lookup()
+            directs, ireqs = zip(
+                *(
+                    (isinstance(r, ExplicitRequirement), r.get_candidate_lookup()[1])
+                    for r, _ in information[identifier]
+                )
+            )
+            direct = any(directs)
+
+        operators: list[tuple[str, str]] = [
+            (specifier.operator, specifier.version)
+            for specifier_set in (ireq.specifier for ireq in ireqs if ireq)
+            for specifier in specifier_set
+        ]
+
+        pinned = any(((op[:2] == "==") and ("*" not in ver)) for op, ver in operators)
+        upper_bounded = any(
+            ((op in ("<", "<=", "~=")) or (op == "==" and "*" in ver))
+            for op, ver in operators
+        )
+        unfree = bool(operators)
+        requested_order = self._user_requested.get(identifier, math.inf)
+
+        conflict_promoted = identifier in self._conflict_promoted
+
+        return (
+            not conflict_promoted,
+            not direct,
+            not pinned,
+            not upper_bounded,
+            requested_order,
+            not unfree,
+            identifier,
+        )
+
+    def find_matches(
+        self,
+        identifier: str,
+        requirements: Mapping[str, Iterator[Requirement]],
+        incompatibilities: Mapping[str, Iterator[Candidate]],
+    ) -> Iterable[Candidate]:
+        def _eligible_for_upgrade(identifier: str) -> bool:
+            """Are upgrades allowed for this project?
+
+            This checks the upgrade strategy, and whether the project was one
+            that the user specified in the command line, in order to decide
+            whether we should upgrade if there's a newer version available.
+
+            (Note that we don't need access to the `--upgrade` flag, because
+            an upgrade strategy of "to-satisfy-only" means that `--upgrade`
+            was not specified).
+            """
+            if self._upgrade_strategy == "eager":
+                return True
+            elif self._upgrade_strategy == "only-if-needed":
+                user_order = _get_with_identifier(
+                    self._user_requested,
+                    identifier,
+                    default=None,
+                )
+                return user_order is not None
+            return False
+
+        constraint = _get_with_identifier(
+            self._constraints,
+            identifier,
+            default=Constraint.empty(),
+        )
+        return self._factory.find_candidates(
+            identifier=identifier,
+            requirements=requirements,
+            constraint=constraint,
+            prefers_installed=(not _eligible_for_upgrade(identifier)),
+            incompatibilities=incompatibilities,
+            is_satisfied_by=self.is_satisfied_by,
+        )
+
+    @staticmethod
+    @cache
+    def is_satisfied_by(requirement: Requirement, candidate: Candidate) -> bool:
+        return requirement.is_satisfied_by(candidate)
+
+    def get_dependencies(self, candidate: Candidate) -> Iterable[Requirement]:
+        with_requires = not self._ignore_dependencies
+        # iter_dependencies() can perform nontrivial work so delay until needed.
+        return (r for r in candidate.iter_dependencies(with_requires) if r is not None)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/reporter.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/reporter.py
new file mode 100644
index 0000000000000000000000000000000000000000..de0deb26b4354017722a218b67c97d01517f4582
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/reporter.py
@@ -0,0 +1,98 @@
+from __future__ import annotations
+
+from collections import defaultdict
+from collections.abc import Mapping
+from logging import getLogger
+from typing import Any
+
+from pip._vendor.resolvelib.reporters import BaseReporter
+
+from .base import Candidate, Constraint, Requirement
+
+logger = getLogger(__name__)
+
+
+class PipReporter(BaseReporter[Requirement, Candidate, str]):
+    def __init__(self, constraints: Mapping[str, Constraint] | None = None) -> None:
+        self.reject_count_by_package: defaultdict[str, int] = defaultdict(int)
+        self._constraints = constraints or {}
+
+        self._messages_at_reject_count = {
+            1: (
+                "pip is looking at multiple versions of {package_name} to "
+                "determine which version is compatible with other "
+                "requirements. This could take a while."
+            ),
+            8: (
+                "pip is still looking at multiple versions of {package_name} to "
+                "determine which version is compatible with other "
+                "requirements. This could take a while."
+            ),
+            13: (
+                "This is taking longer than usual. You might need to provide "
+                "the dependency resolver with stricter constraints to reduce "
+                "runtime. See https://pip.pypa.io/warnings/backtracking for "
+                "guidance. If you want to abort this run, press Ctrl + C."
+            ),
+        }
+
+    def rejecting_candidate(self, criterion: Any, candidate: Candidate) -> None:
+        """Report a candidate being rejected.
+
+        Logs both the rejection count message (if applicable) and details about
+        the requirements and constraints that caused the rejection.
+        """
+        self.reject_count_by_package[candidate.name] += 1
+
+        count = self.reject_count_by_package[candidate.name]
+        if count in self._messages_at_reject_count:
+            message = self._messages_at_reject_count[count]
+            logger.info("INFO: %s", message.format(package_name=candidate.name))
+
+        msg = "Will try a different candidate, due to conflict:"
+        for req_info in criterion.information:
+            req, parent = req_info.requirement, req_info.parent
+            msg += "\n    "
+            if parent:
+                msg += f"{parent.name} {parent.version} depends on "
+            else:
+                msg += "The user requested "
+            msg += req.format_for_error()
+
+        # Add any relevant constraints
+        if self._constraints:
+            name = candidate.name
+            constraint = self._constraints.get(name)
+            if constraint and constraint.specifier:
+                constraint_text = f"{name}{constraint.format_for_error()}"
+                msg += f"\n    The user requested (constraint) {constraint_text}"
+
+        logger.debug(msg)
+
+
+class PipDebuggingReporter(BaseReporter[Requirement, Candidate, str]):
+    """A reporter that does an info log for every event it sees."""
+
+    def starting(self) -> None:
+        logger.info("Reporter.starting()")
+
+    def starting_round(self, index: int) -> None:
+        logger.info("Reporter.starting_round(%r)", index)
+
+    def ending_round(self, index: int, state: Any) -> None:
+        logger.info("Reporter.ending_round(%r, state)", index)
+        logger.debug("Reporter.ending_round(%r, %r)", index, state)
+
+    def ending(self, state: Any) -> None:
+        logger.info("Reporter.ending(%r)", state)
+
+    def adding_requirement(
+        self, requirement: Requirement, parent: Candidate | None
+    ) -> None:
+        logger.info("Reporter.adding_requirement(%r, %r)", requirement, parent)
+
+    def rejecting_candidate(self, criterion: Any, candidate: Candidate) -> None:
+        logger.info("Reporter.rejecting_candidate(%r, %r)", criterion, candidate)
+
+    def pinning(self, candidate: Candidate) -> None:
+        logger.info("Reporter.pinning(%r)", candidate)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/requirements.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/requirements.py
new file mode 100644
index 0000000000000000000000000000000000000000..9c5e23374110b369ca5cab5fcc02ff09286b89da
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/requirements.py
@@ -0,0 +1,251 @@
+from __future__ import annotations
+
+from typing import Any
+
+from pip._vendor.packaging.specifiers import SpecifierSet
+from pip._vendor.packaging.utils import NormalizedName, canonicalize_name
+
+from pip._internal.req.constructors import install_req_drop_extras
+from pip._internal.req.req_install import InstallRequirement
+
+from .base import Candidate, CandidateLookup, Requirement, format_name
+
+
+class ExplicitRequirement(Requirement):
+    def __init__(self, candidate: Candidate) -> None:
+        self.candidate = candidate
+
+    def __str__(self) -> str:
+        return str(self.candidate)
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}({self.candidate!r})"
+
+    def __hash__(self) -> int:
+        return hash(self.candidate)
+
+    def __eq__(self, other: Any) -> bool:
+        if not isinstance(other, ExplicitRequirement):
+            return False
+        return self.candidate == other.candidate
+
+    @property
+    def project_name(self) -> NormalizedName:
+        # No need to canonicalize - the candidate did this
+        return self.candidate.project_name
+
+    @property
+    def name(self) -> str:
+        # No need to canonicalize - the candidate did this
+        return self.candidate.name
+
+    def format_for_error(self) -> str:
+        return self.candidate.format_for_error()
+
+    def get_candidate_lookup(self) -> CandidateLookup:
+        return self.candidate, None
+
+    def is_satisfied_by(self, candidate: Candidate) -> bool:
+        return candidate == self.candidate
+
+
+class SpecifierRequirement(Requirement):
+    def __init__(self, ireq: InstallRequirement) -> None:
+        assert ireq.link is None, "This is a link, not a specifier"
+        self._ireq = ireq
+        self._equal_cache: str | None = None
+        self._hash: int | None = None
+        self._extras = frozenset(canonicalize_name(e) for e in self._ireq.extras)
+
+    @property
+    def _equal(self) -> str:
+        if self._equal_cache is not None:
+            return self._equal_cache
+
+        self._equal_cache = str(self._ireq)
+        return self._equal_cache
+
+    def __str__(self) -> str:
+        return str(self._ireq.req)
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}({str(self._ireq.req)!r})"
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, SpecifierRequirement):
+            return NotImplemented
+        return self._equal == other._equal
+
+    def __hash__(self) -> int:
+        if self._hash is not None:
+            return self._hash
+
+        self._hash = hash(self._equal)
+        return self._hash
+
+    @property
+    def project_name(self) -> NormalizedName:
+        assert self._ireq.req, "Specifier-backed ireq is always PEP 508"
+        return canonicalize_name(self._ireq.req.name)
+
+    @property
+    def name(self) -> str:
+        return format_name(self.project_name, self._extras)
+
+    def format_for_error(self) -> str:
+        # Convert comma-separated specifiers into "A, B, ..., F and G"
+        # This makes the specifier a bit more "human readable", without
+        # risking a change in meaning. (Hopefully! Not all edge cases have
+        # been checked)
+        parts = [s.strip() for s in str(self).split(",")]
+        if len(parts) == 0:
+            return ""
+        elif len(parts) == 1:
+            return parts[0]
+
+        return ", ".join(parts[:-1]) + " and " + parts[-1]
+
+    def get_candidate_lookup(self) -> CandidateLookup:
+        return None, self._ireq
+
+    def is_satisfied_by(self, candidate: Candidate) -> bool:
+        assert candidate.name == self.name, (
+            f"Internal issue: Candidate is not for this requirement "
+            f"{candidate.name} vs {self.name}"
+        )
+        # We can safely always allow prereleases here since PackageFinder
+        # already implements the prerelease logic, and would have filtered out
+        # prerelease candidates if the user does not expect them.
+        assert self._ireq.req, "Specifier-backed ireq is always PEP 508"
+        spec = self._ireq.req.specifier
+        return spec.contains(candidate.version, prereleases=True)
+
+
+class SpecifierWithoutExtrasRequirement(SpecifierRequirement):
+    """
+    Requirement backed by an install requirement on a base package.
+    Trims extras from its install requirement if there are any.
+    """
+
+    def __init__(self, ireq: InstallRequirement) -> None:
+        assert ireq.link is None, "This is a link, not a specifier"
+        self._ireq = install_req_drop_extras(ireq)
+        self._equal_cache: str | None = None
+        self._hash: int | None = None
+        self._extras = frozenset(canonicalize_name(e) for e in self._ireq.extras)
+
+    @property
+    def _equal(self) -> str:
+        if self._equal_cache is not None:
+            return self._equal_cache
+
+        self._equal_cache = str(self._ireq)
+        return self._equal_cache
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, SpecifierWithoutExtrasRequirement):
+            return NotImplemented
+        return self._equal == other._equal
+
+    def __hash__(self) -> int:
+        if self._hash is not None:
+            return self._hash
+
+        self._hash = hash(self._equal)
+        return self._hash
+
+
+class RequiresPythonRequirement(Requirement):
+    """A requirement representing Requires-Python metadata."""
+
+    def __init__(self, specifier: SpecifierSet, match: Candidate) -> None:
+        self.specifier = specifier
+        self._specifier_string = str(specifier)  # for faster __eq__
+        self._hash: int | None = None
+        self._candidate = match
+
+        # Pre-compute candidate lookup to avoid repeated specifier checks
+        if specifier.contains(match.version, prereleases=True):
+            self._candidate_lookup: CandidateLookup = (match, None)
+        else:
+            self._candidate_lookup = (None, None)
+
+    def __str__(self) -> str:
+        return f"Python {self.specifier}"
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}({str(self.specifier)!r})"
+
+    def __hash__(self) -> int:
+        if self._hash is not None:
+            return self._hash
+
+        self._hash = hash((self._specifier_string, self._candidate))
+        return self._hash
+
+    def __eq__(self, other: Any) -> bool:
+        if not isinstance(other, RequiresPythonRequirement):
+            return False
+        return (
+            self._specifier_string == other._specifier_string
+            and self._candidate == other._candidate
+        )
+
+    @property
+    def project_name(self) -> NormalizedName:
+        return self._candidate.project_name
+
+    @property
+    def name(self) -> str:
+        return self._candidate.name
+
+    def format_for_error(self) -> str:
+        return str(self)
+
+    def get_candidate_lookup(self) -> CandidateLookup:
+        return self._candidate_lookup
+
+    def is_satisfied_by(self, candidate: Candidate) -> bool:
+        assert candidate.name == self._candidate.name, "Not Python candidate"
+        # We can safely always allow prereleases here since PackageFinder
+        # already implements the prerelease logic, and would have filtered out
+        # prerelease candidates if the user does not expect them.
+        return self.specifier.contains(candidate.version, prereleases=True)
+
+
+class UnsatisfiableRequirement(Requirement):
+    """A requirement that cannot be satisfied."""
+
+    def __init__(self, name: NormalizedName) -> None:
+        self._name = name
+
+    def __str__(self) -> str:
+        return f"{self._name} (unavailable)"
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}({str(self._name)!r})"
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, UnsatisfiableRequirement):
+            return NotImplemented
+        return self._name == other._name
+
+    def __hash__(self) -> int:
+        return hash(self._name)
+
+    @property
+    def project_name(self) -> NormalizedName:
+        return self._name
+
+    @property
+    def name(self) -> str:
+        return self._name
+
+    def format_for_error(self) -> str:
+        return str(self)
+
+    def get_candidate_lookup(self) -> CandidateLookup:
+        return None, None
+
+    def is_satisfied_by(self, candidate: Candidate) -> bool:
+        return False
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/resolver.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/resolver.py
new file mode 100644
index 0000000000000000000000000000000000000000..6e49c9efe92bce8e91020e3d4b3d1f77f089ba12
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/resolution/resolvelib/resolver.py
@@ -0,0 +1,341 @@
+from __future__ import annotations
+
+import contextlib
+import functools
+import logging
+import os
+from typing import TYPE_CHECKING, cast
+
+from pip._vendor.packaging.utils import canonicalize_name
+from pip._vendor.resolvelib import BaseReporter, ResolutionImpossible, ResolutionTooDeep
+from pip._vendor.resolvelib import Resolver as RLResolver
+from pip._vendor.resolvelib.structs import DirectedGraph
+
+from pip._internal.cache import WheelCache
+from pip._internal.exceptions import ResolutionTooDeepError
+from pip._internal.index.package_finder import PackageFinder
+from pip._internal.operations.prepare import RequirementPreparer
+from pip._internal.req.constructors import install_req_extend_extras
+from pip._internal.req.req_install import InstallRequirement
+from pip._internal.req.req_set import RequirementSet
+from pip._internal.resolution.base import BaseResolver, InstallRequirementProvider
+from pip._internal.resolution.resolvelib.provider import PipProvider
+from pip._internal.resolution.resolvelib.reporter import (
+    PipDebuggingReporter,
+    PipReporter,
+)
+from pip._internal.utils.packaging import get_requirement
+
+from .base import Candidate, Requirement
+from .factory import Factory
+
+if TYPE_CHECKING:
+    from pip._vendor.resolvelib.resolvers import Result as RLResult
+
+    Result = RLResult[Requirement, Candidate, str]
+
+
+logger = logging.getLogger(__name__)
+
+
+class Resolver(BaseResolver):
+    _allowed_strategies = {"eager", "only-if-needed", "to-satisfy-only"}
+
+    def __init__(
+        self,
+        preparer: RequirementPreparer,
+        finder: PackageFinder,
+        wheel_cache: WheelCache | None,
+        make_install_req: InstallRequirementProvider,
+        use_user_site: bool,
+        ignore_dependencies: bool,
+        only_dependencies: bool,
+        ignore_installed: bool,
+        ignore_requires_python: bool,
+        force_reinstall: bool,
+        upgrade_strategy: str,
+        py_version_info: tuple[int, ...] | None = None,
+    ):
+        super().__init__()
+        assert upgrade_strategy in self._allowed_strategies
+        assert not (ignore_dependencies and only_dependencies)
+
+        self.factory = Factory(
+            finder=finder,
+            preparer=preparer,
+            make_install_req=make_install_req,
+            wheel_cache=wheel_cache,
+            use_user_site=use_user_site,
+            force_reinstall=force_reinstall,
+            ignore_installed=ignore_installed,
+            ignore_requires_python=ignore_requires_python,
+            py_version_info=py_version_info,
+        )
+        self.ignore_dependencies = ignore_dependencies
+        self.only_dependencies = only_dependencies
+        self.upgrade_strategy = upgrade_strategy
+        self._result: Result | None = None
+
+    def resolve(
+        self, root_reqs: list[InstallRequirement], check_supported_wheels: bool
+    ) -> RequirementSet:
+        collected = self.factory.collect_root_requirements(root_reqs)
+        provider = PipProvider(
+            factory=self.factory,
+            constraints=collected.constraints,
+            ignore_dependencies=self.ignore_dependencies,
+            only_dependencies=self.only_dependencies,
+            upgrade_strategy=self.upgrade_strategy,
+            user_requested=collected.user_requested,
+        )
+        if "PIP_RESOLVER_DEBUG" in os.environ:
+            reporter: BaseReporter[Requirement, Candidate, str] = PipDebuggingReporter()
+        else:
+            reporter = PipReporter(constraints=provider.constraints)
+
+        resolver: RLResolver[Requirement, Candidate, str] = RLResolver(
+            provider,
+            reporter,
+        )
+
+        try:
+            limit_how_complex_resolution_can_be = 200000
+            result = self._result = resolver.resolve(
+                collected.requirements, max_rounds=limit_how_complex_resolution_can_be
+            )
+
+        except ResolutionImpossible as e:
+            error = self.factory.get_installation_error(
+                cast("ResolutionImpossible[Requirement, Candidate]", e),
+                collected.constraints,
+            )
+            raise error from e
+        except ResolutionTooDeep:
+            raise ResolutionTooDeepError from None
+
+        req_set = RequirementSet(check_supported_wheels=check_supported_wheels)
+        # process candidates with extras last to ensure their base equivalent is
+        # already in the req_set if appropriate.
+        # Python's sort is stable so using a binary key function keeps relative order
+        # within both subsets.
+        for candidate in sorted(
+            result.mapping.values(), key=lambda c: c.name != c.project_name
+        ):
+            ireq = candidate.get_install_requirement()
+            if ireq is None:
+                if candidate.name != candidate.project_name:
+                    # extend existing req's extras
+                    with contextlib.suppress(KeyError):
+                        req = req_set.get_requirement(candidate.project_name)
+                        req_set.add_named_requirement(
+                            install_req_extend_extras(
+                                req, get_requirement(candidate.name).extras
+                            )
+                        )
+                continue
+
+            # Check if there is already an installation under the same name,
+            # and set a flag for later stages to uninstall it, if needed.
+            installed_dist = self.factory.get_dist_to_uninstall(candidate)
+            if installed_dist is None:
+                # There is no existing installation -- nothing to uninstall.
+                ireq.should_reinstall = False
+            elif self.factory.force_reinstall:
+                # The --force-reinstall flag is set -- reinstall.
+                ireq.should_reinstall = True
+            elif installed_dist.version != candidate.version:
+                # The installation is different in version -- reinstall.
+                ireq.should_reinstall = True
+            elif candidate.is_editable or installed_dist.editable:
+                # The incoming distribution is editable, or different in
+                # editable-ness to installation -- reinstall.
+                ireq.should_reinstall = True
+            elif candidate.source_link and candidate.source_link.is_file:
+                # The incoming distribution is under file://
+                if candidate.source_link.is_wheel:
+                    # is a local wheel -- do nothing.
+                    logger.info(
+                        "%s is already installed with the same version as the "
+                        "provided wheel. Use --force-reinstall to force an "
+                        "installation of the wheel.",
+                        ireq.name,
+                    )
+                    continue
+
+                # is a local sdist or path -- reinstall
+                ireq.should_reinstall = True
+            else:
+                continue
+
+            link = candidate.source_link
+            if link and link.is_yanked:
+                # The reason can contain non-ASCII characters, Unicode
+                # is required for Python 2.
+                msg = (
+                    "The candidate selected for download or install is a "
+                    "yanked version: {name!r} candidate (version {version} "
+                    "at {link})\nReason for being yanked: {reason}"
+                ).format(
+                    name=candidate.name,
+                    version=candidate.version,
+                    link=link,
+                    reason=link.yanked_reason or "",
+                )
+                logger.warning(msg)
+
+            req_set.add_named_requirement(ireq)
+
+        if self.only_dependencies:
+            for requested in collected.user_requested:
+                project_name = requested.partition("[")[0]
+                req_set.requirements.pop(project_name, None)
+
+        return req_set
+
+    def get_installation_order(
+        self, req_set: RequirementSet
+    ) -> list[InstallRequirement]:
+        """Get order for installation of requirements in RequirementSet.
+
+        The returned list contains a requirement before another that depends on
+        it. This helps ensure that the environment is kept consistent as they
+        get installed one-by-one.
+
+        The current implementation creates a topological ordering of the
+        dependency graph, giving more weight to packages with less
+        or no dependencies, while breaking any cycles in the graph at
+        arbitrary points. We make no guarantees about where the cycle
+        would be broken, other than it *would* be broken.
+        """
+        assert self._result is not None, "must call resolve() first"
+
+        if not req_set.requirements:
+            # Nothing is left to install, so we do not need an order.
+            return []
+
+        graph = self._result.graph
+        weights = get_topological_weights(graph, set(req_set.requirements.keys()))
+
+        sorted_items = sorted(
+            req_set.requirements.items(),
+            key=functools.partial(_req_set_item_sorter, weights=weights),
+            reverse=True,
+        )
+        return [ireq for _, ireq in sorted_items]
+
+
+def get_topological_weights(
+    graph: DirectedGraph[str | None], requirement_keys: set[str]
+) -> dict[str | None, int]:
+    """Assign weights to each node based on how "deep" they are.
+
+    This implementation may change at any point in the future without prior
+    notice.
+
+    We first simplify the dependency graph by pruning any leaves and giving them
+    the highest weight: a package without any dependencies should be installed
+    first. This is done again and again in the same way, giving ever less weight
+    to the newly found leaves. The loop stops when no leaves are left: all
+    remaining packages have at least one dependency left in the graph.
+
+    Then we continue with the remaining graph, by taking the length for the
+    longest path to any node from root, ignoring any paths that contain a single
+    node twice (i.e. cycles). This is done through a depth-first search through
+    the graph, while keeping track of the path to the node.
+
+    Cycles in the graph result would result in node being revisited while also
+    being on its own path. In this case, take no action. This helps ensure we
+    don't get stuck in a cycle.
+
+    When assigning weight, the longer path (i.e. larger length) is preferred.
+
+    We are only interested in the weights of packages that are in the
+    requirement_keys.
+    """
+    path: set[str | None] = set()
+    weights: dict[str | None, list[int]] = {}
+
+    def visit(node: str | None) -> None:
+        if node in path:
+            # We hit a cycle, so we'll break it here.
+            return
+
+        # The walk is exponential and for pathologically connected graphs (which
+        # are the ones most likely to contain cycles in the first place) it can
+        # take until the heat-death of the universe. To counter this we limit
+        # the number of attempts to visit (i.e. traverse through) any given
+        # node. We choose a value here which gives decent enough coverage for
+        # fairly well behaved graphs, and still limits the walk complexity to be
+        # linear in nature.
+        cur_weights = weights.get(node, [])
+        if len(cur_weights) >= 5:
+            return
+
+        # Time to visit the children!
+        path.add(node)
+        for child in graph.iter_children(node):
+            visit(child)
+        path.remove(node)
+
+        if node not in requirement_keys:
+            return
+
+        cur_weights.append(len(path))
+        weights[node] = cur_weights
+
+    # Simplify the graph, pruning leaves that have no dependencies. This is
+    # needed for large graphs (say over 200 packages) because the `visit`
+    # function is slower for large/densely connected graphs, taking minutes.
+    # See https://github.com/pypa/pip/issues/10557
+    # We repeat the pruning step until we have no more leaves to remove.
+    while True:
+        leaves = set()
+        for key in graph:
+            if key is None:
+                continue
+            for _child in graph.iter_children(key):
+                # This means we have at least one child
+                break
+            else:
+                # No child.
+                leaves.add(key)
+        if not leaves:
+            # We are done simplifying.
+            break
+        # Calculate the weight for the leaves.
+        weight = len(graph) - 1
+        for leaf in leaves:
+            if leaf not in requirement_keys:
+                continue
+            weights[leaf] = [weight]
+        # Remove the leaves from the graph, making it simpler.
+        for leaf in leaves:
+            graph.remove(leaf)
+
+    # Visit the remaining graph, this will only have nodes to handle if the
+    # graph had a cycle in it, which the pruning step above could not handle.
+    # `None` is guaranteed to be the root node by resolvelib.
+    visit(None)
+
+    # Sanity check: all requirement keys should be in the weights,
+    # and no other keys should be in the weights.
+    difference = set(weights.keys()).difference(requirement_keys)
+    assert not difference, difference
+
+    # Now give back all the weights, choosing the largest ones from what we
+    # accumulated.
+    return {node: max(wgts) for (node, wgts) in weights.items()}
+
+
+def _req_set_item_sorter(
+    item: tuple[str, InstallRequirement],
+    weights: dict[str | None, int],
+) -> tuple[int, str]:
+    """Key function used to sort install requirements for installation.
+
+    Based on the "weight" mapping calculated in ``get_installation_order()``.
+    The canonical package name is returned as the second member as a tie-
+    breaker to ensure the result is predictable, which is useful in tests.
+    """
+    name = canonicalize_name(item[0])
+    return weights[name], name
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/self_outdated_check.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/self_outdated_check.py
new file mode 100644
index 0000000000000000000000000000000000000000..4b5248ed3ded7e4c6cca61df39a48264f7b42814
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/self_outdated_check.py
@@ -0,0 +1,246 @@
+from __future__ import annotations
+
+import datetime
+import hashlib
+import json
+import logging
+import optparse
+import os.path
+import sys
+from dataclasses import dataclass
+
+from pip._vendor.packaging.version import Version
+from pip._vendor.packaging.version import parse as parse_version
+from pip._vendor.rich.console import Group
+from pip._vendor.rich.markup import escape
+from pip._vendor.rich.text import Text
+
+from pip._internal.index.collector import LinkCollector
+from pip._internal.index.package_finder import PackageFinder
+from pip._internal.metadata import get_default_environment
+from pip._internal.models.release_control import ReleaseControl
+from pip._internal.models.selection_prefs import SelectionPreferences
+from pip._internal.network.session import PipSession
+from pip._internal.utils.compat import WINDOWS
+from pip._internal.utils.datetime import parse_iso_datetime
+from pip._internal.utils.entrypoints import (
+    get_best_invocation_for_this_pip,
+    get_best_invocation_for_this_python,
+)
+from pip._internal.utils.filesystem import (
+    adjacent_tmp_file,
+    check_path_owner,
+    copy_directory_permissions,
+    replace,
+)
+from pip._internal.utils.misc import (
+    ExternallyManagedEnvironment,
+    check_externally_managed,
+    ensure_dir,
+)
+
+_WEEK = datetime.timedelta(days=7)
+
+logger = logging.getLogger(__name__)
+
+
+def _get_statefile_name(key: str) -> str:
+    key_bytes = key.encode()
+    name = hashlib.sha224(key_bytes).hexdigest()
+    return name
+
+
+class SelfCheckState:
+    def __init__(self, cache_dir: str) -> None:
+        self._state: dict[str, str] = {}
+        self._statefile_path = None
+
+        # Try to load the existing state
+        if cache_dir:
+            self._statefile_path = os.path.join(
+                cache_dir, "selfcheck", _get_statefile_name(self.key)
+            )
+            try:
+                with open(self._statefile_path, encoding="utf-8") as statefile:
+                    self._state = json.load(statefile)
+            except (OSError, ValueError, KeyError):
+                # Explicitly suppressing exceptions, since we don't want to
+                # error out if the cache file is invalid.
+                pass
+
+    @property
+    def key(self) -> str:
+        return sys.prefix
+
+    def get(self, current_time: datetime.datetime) -> str | None:
+        """Check if we have a not-outdated version loaded already."""
+        if not self._state:
+            return None
+
+        if "last_check" not in self._state:
+            return None
+
+        if "pypi_version" not in self._state:
+            return None
+
+        # Determine if we need to refresh the state
+        last_check = parse_iso_datetime(self._state["last_check"])
+        time_since_last_check = current_time - last_check
+        if time_since_last_check > _WEEK:
+            return None
+
+        return self._state["pypi_version"]
+
+    def set(self, pypi_version: str, current_time: datetime.datetime) -> None:
+        # If we do not have a path to cache in, don't bother saving.
+        if not self._statefile_path:
+            return
+
+        statefile_directory = os.path.dirname(self._statefile_path)
+
+        # Check to make sure that we own the directory
+        if not check_path_owner(statefile_directory):
+            return
+
+        # Now that we've ensured the directory is owned by this user, we'll go
+        # ahead and make sure that all our directories are created.
+        ensure_dir(statefile_directory)
+
+        state = {
+            # Include the key so it's easy to tell which pip wrote the
+            # file.
+            "key": self.key,
+            "last_check": current_time.isoformat(),
+            "pypi_version": pypi_version,
+        }
+
+        text = json.dumps(state, sort_keys=True, separators=(",", ":"))
+
+        with adjacent_tmp_file(self._statefile_path) as f:
+            f.write(text.encode())
+            copy_directory_permissions(statefile_directory, f)
+
+        try:
+            # Since we have a prefix-specific state file, we can just
+            # overwrite whatever is there, no need to check.
+            replace(f.name, self._statefile_path)
+        except OSError:
+            # Best effort.
+            pass
+
+
+@dataclass
+class UpgradePrompt:
+    old: str
+    new: str
+
+    def __rich__(self) -> Group:
+        if WINDOWS:
+            pip_cmd = f"{get_best_invocation_for_this_python()} -m pip"
+        else:
+            pip_cmd = get_best_invocation_for_this_pip()
+
+        notice = "[bold][[reset][blue]notice[reset][bold]][reset]"
+        return Group(
+            Text(),
+            Text.from_markup(
+                f"{notice} A new release of pip is available: "
+                f"[red]{self.old}[reset] -> [green]{self.new}[reset]"
+            ),
+            Text.from_markup(
+                f"{notice} To update, run: "
+                f"[green]{escape(pip_cmd)} install --upgrade pip"
+            ),
+        )
+
+
+def _get_current_remote_pip_version(
+    session: PipSession, options: optparse.Values
+) -> str | None:
+    # Lets use PackageFinder to see what the latest pip version is
+    link_collector = LinkCollector.create(
+        session,
+        options=options,
+        suppress_no_index=True,
+    )
+
+    # Pass allow_yanked=False so we don't suggest upgrading to a
+    # yanked version.
+    selection_prefs = SelectionPreferences(
+        allow_yanked=False,
+        release_control=ReleaseControl(only_final={"pip"}),
+    )
+
+    finder = PackageFinder.create(
+        link_collector=link_collector,
+        selection_prefs=selection_prefs,
+    )
+    best_candidate = finder.find_best_candidate("pip").best_candidate
+    if best_candidate is None:
+        return None
+
+    return str(best_candidate.version)
+
+
+def _compute_upgrade_prompt(
+    local_version: Version, remote_version_str: str, installed_by_pip: bool
+) -> UpgradePrompt | None:
+    remote_version = parse_version(remote_version_str)
+    logger.debug("Remote version of pip: %s", remote_version)
+    logger.debug("Local version of pip:  %s", local_version)
+    logger.debug("Was pip installed by pip? %s", installed_by_pip)
+
+    if not installed_by_pip:
+        return None  # Only suggest upgrade if pip is installed by pip.
+
+    local_version_is_older = (
+        local_version < remote_version
+        and local_version.base_version != remote_version.base_version
+    )
+    if local_version_is_older:
+        return UpgradePrompt(old=str(local_version), new=remote_version_str)
+
+    return None
+
+
+def pip_self_version_check_fetch(
+    session: PipSession, options: optparse.Values
+) -> UpgradePrompt | None:
+    """Compute the pip upgrade prompt, if any, before the command runs.
+
+    Limit the frequency of checks to once per week. State is stored either in
+    the active virtualenv or in the user's USER_CACHE_DIR keyed off the prefix
+    of the pip script path.
+
+    Pair with :func:`pip_self_version_check_emit`, which displays the prompt
+    after the command body runs.
+    """
+    installed_dist = get_default_environment().get_distribution("pip")
+    if not installed_dist:
+        return None
+    try:
+        check_externally_managed()
+    except ExternallyManagedEnvironment:
+        return None
+
+    state = SelfCheckState(cache_dir=options.cache_dir)
+    current_time = datetime.datetime.now(datetime.timezone.utc)
+    remote_version_str = state.get(current_time)
+    if remote_version_str is None:
+        remote_version_str = _get_current_remote_pip_version(session, options)
+        if remote_version_str is None:
+            logger.debug("No remote pip version found")
+            return None
+        state.set(remote_version_str, current_time)
+
+    return _compute_upgrade_prompt(
+        local_version=installed_dist.version,
+        remote_version_str=remote_version_str,
+        installed_by_pip=installed_dist.installer == "pip",
+    )
+
+
+def pip_self_version_check_emit(upgrade_prompt: UpgradePrompt | None) -> None:
+    """Emit the upgrade prompt captured by :func:`pip_self_version_check_fetch`."""
+    if upgrade_prompt is not None:
+        logger.warning("%s", upgrade_prompt, extra={"rich": True})
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/_jaraco_text.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/_jaraco_text.py
new file mode 100644
index 0000000000000000000000000000000000000000..6ccf53b7ac5d415b8526e75ccabe31cf994ac7da
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/_jaraco_text.py
@@ -0,0 +1,109 @@
+"""Functions brought over from jaraco.text.
+
+These functions are not supposed to be used within `pip._internal`. These are
+helper functions brought over from `jaraco.text` to enable vendoring newer
+copies of `pkg_resources` without having to vendor `jaraco.text` and its entire
+dependency cone; something that our vendoring setup is not currently capable of
+handling.
+
+License reproduced from original source below:
+
+Copyright Jason R. Coombs
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to
+deal in the Software without restriction, including without limitation the
+rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
+sell copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in
+all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
+IN THE SOFTWARE.
+"""
+
+import functools
+import itertools
+
+
+def _nonblank(str):
+    return str and not str.startswith("#")
+
+
+@functools.singledispatch
+def yield_lines(iterable):
+    r"""
+    Yield valid lines of a string or iterable.
+
+    >>> list(yield_lines(''))
+    []
+    >>> list(yield_lines(['foo', 'bar']))
+    ['foo', 'bar']
+    >>> list(yield_lines('foo\nbar'))
+    ['foo', 'bar']
+    >>> list(yield_lines('\nfoo\n#bar\nbaz #comment'))
+    ['foo', 'baz #comment']
+    >>> list(yield_lines(['foo\nbar', 'baz', 'bing\n\n\n']))
+    ['foo', 'bar', 'baz', 'bing']
+    """
+    return itertools.chain.from_iterable(map(yield_lines, iterable))
+
+
+@yield_lines.register(str)
+def _(text):
+    return filter(_nonblank, map(str.strip, text.splitlines()))
+
+
+def drop_comment(line):
+    """
+    Drop comments.
+
+    >>> drop_comment('foo # bar')
+    'foo'
+
+    A hash without a space may be in a URL.
+
+    >>> drop_comment('http://example.com/foo#bar')
+    'http://example.com/foo#bar'
+    """
+    return line.partition(" #")[0]
+
+
+def join_continuation(lines):
+    r"""
+    Join lines continued by a trailing backslash.
+
+    >>> list(join_continuation(['foo \\', 'bar', 'baz']))
+    ['foobar', 'baz']
+    >>> list(join_continuation(['foo \\', 'bar', 'baz']))
+    ['foobar', 'baz']
+    >>> list(join_continuation(['foo \\', 'bar \\', 'baz']))
+    ['foobarbaz']
+
+    Not sure why, but...
+    The character preceding the backslash is also elided.
+
+    >>> list(join_continuation(['goo\\', 'dly']))
+    ['godly']
+
+    A terrible idea, but...
+    If no line is available to continue, suppress the lines.
+
+    >>> list(join_continuation(['foo', 'bar\\', 'baz\\']))
+    ['foo']
+    """
+    lines = iter(lines)
+    for item in lines:
+        while item.endswith("\\"):
+            try:
+                item = item[:-2].strip() + next(lines)
+            except StopIteration:
+                return
+        yield item
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/_log.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/_log.py
new file mode 100644
index 0000000000000000000000000000000000000000..92c4c6a193873ce09629f6cfaa2dabc4f14ecb03
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/_log.py
@@ -0,0 +1,38 @@
+"""Customize logging
+
+Defines custom logger class for the `logger.verbose(...)` method.
+
+init_logging() must be called before any other modules that call logging.getLogger.
+"""
+
+import logging
+from typing import Any, cast
+
+# custom log level for `--verbose` output
+# between DEBUG and INFO
+VERBOSE = 15
+
+
+class VerboseLogger(logging.Logger):
+    """Custom Logger, defining a verbose log-level
+
+    VERBOSE is between INFO and DEBUG.
+    """
+
+    def verbose(self, msg: str, *args: Any, **kwargs: Any) -> None:
+        return self.log(VERBOSE, msg, *args, **kwargs)
+
+
+def getLogger(name: str) -> VerboseLogger:
+    """logging.getLogger, but ensures our VerboseLogger class is returned"""
+    return cast(VerboseLogger, logging.getLogger(name))
+
+
+def init_logging() -> None:
+    """Register our VerboseLogger and VERBOSE log level.
+
+    Should be called before any calls to getLogger(),
+    i.e. in pip._internal.__init__
+    """
+    logging.setLoggerClass(VerboseLogger)
+    logging.addLevelName(VERBOSE, "VERBOSE")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/appdirs.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/appdirs.py
new file mode 100644
index 0000000000000000000000000000000000000000..4152528f68c6c2e3e26d866a66832f1ac6c544cd
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/appdirs.py
@@ -0,0 +1,52 @@
+"""
+This code wraps the vendored appdirs module to so the return values are
+compatible for the current pip code base.
+
+The intention is to rewrite current usages gradually, keeping the tests pass,
+and eventually drop this after all usages are changed.
+"""
+
+import os
+import sys
+
+from pip._vendor import platformdirs as _appdirs
+
+
+def user_cache_dir(appname: str) -> str:
+    return _appdirs.user_cache_dir(appname, appauthor=False)
+
+
+def _macos_user_config_dir(appname: str, roaming: bool = True) -> str:
+    # Use ~/Application Support/pip, if the directory exists.
+    path = _appdirs.user_data_dir(appname, appauthor=False, roaming=roaming)
+    if os.path.isdir(path):
+        return path
+
+    # Use a Linux-like ~/.config/pip, by default.
+    linux_like_path = "~/.config/"
+    if appname:
+        linux_like_path = os.path.join(linux_like_path, appname)
+
+    return os.path.expanduser(linux_like_path)
+
+
+def user_config_dir(appname: str, roaming: bool = True) -> str:
+    if sys.platform == "darwin":
+        return _macos_user_config_dir(appname, roaming)
+
+    return _appdirs.user_config_dir(appname, appauthor=False, roaming=roaming)
+
+
+# for the discussion regarding site_config_dir locations
+# see 
+def site_config_dirs(appname: str) -> list[str]:
+    if sys.platform == "darwin":
+        dirval = _appdirs.site_data_dir(appname, appauthor=False, multipath=True)
+        return dirval.split(os.pathsep)
+
+    dirval = _appdirs.site_config_dir(appname, appauthor=False, multipath=True)
+    if sys.platform == "win32":
+        return [dirval]
+
+    # Unix-y system. Look in /etc as well.
+    return dirval.split(os.pathsep) + ["/etc"]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/compat.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/compat.py
new file mode 100644
index 0000000000000000000000000000000000000000..b3f70cf6aca44456ecc90f32a08e2f8db6643417
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/compat.py
@@ -0,0 +1,91 @@
+"""Stuff that differs in different Python versions and platform
+distributions."""
+
+import importlib.resources
+import locale
+import logging
+import os
+import sys
+from typing import IO
+
+__all__ = ["get_locale_encoding", "get_path_uid", "tomllib", "WINDOWS"]
+
+
+logger = logging.getLogger(__name__)
+
+
+def has_tls() -> bool:
+    try:
+        import _ssl  # noqa: F401  # ignore unused
+
+        return True
+    except ImportError:
+        pass
+
+    from pip._vendor.urllib3.util import IS_PYOPENSSL
+
+    return IS_PYOPENSSL
+
+
+def get_locale_encoding() -> str:
+    """Return the locale encoding.
+
+    Uses ``locale.getencoding()`` when available (Python 3.11+) to avoid the
+    ``EncodingWarning`` that ``locale.getpreferredencoding(False)`` raises
+    under UTF-8 Mode.
+    """
+    # TODO: Remove the 3.10 fallback once pip drops Python 3.10 support.
+    if sys.version_info >= (3, 11):
+        return locale.getencoding()
+    return locale.getpreferredencoding(False)
+
+
+def get_path_uid(path: str) -> int:
+    """
+    Return path's uid.
+
+    Does not follow symlinks:
+        https://github.com/pypa/pip/pull/935#discussion_r5307003
+
+    Placed this function in compat due to differences on AIX and
+    Jython, that should eventually go away.
+
+    :raises OSError: When path is a symlink or can't be read.
+    """
+    if hasattr(os, "O_NOFOLLOW"):
+        fd = os.open(path, os.O_RDONLY | os.O_NOFOLLOW)
+        file_uid = os.fstat(fd).st_uid
+        os.close(fd)
+    else:  # AIX and Jython
+        # WARNING: time of check vulnerability, but best we can do w/o NOFOLLOW
+        if not os.path.islink(path):
+            # older versions of Jython don't have `os.fstat`
+            file_uid = os.stat(path).st_uid
+        else:
+            # raise OSError for parity with os.O_NOFOLLOW above
+            raise OSError(f"{path} is a symlink; Will not return uid for symlinks")
+    return file_uid
+
+
+# The importlib.resources.open_text function was deprecated in 3.11 with suggested
+# replacement we use below.
+if sys.version_info < (3, 11):
+    open_text_resource = importlib.resources.open_text
+else:
+
+    def open_text_resource(
+        package: str, resource: str, encoding: str = "utf-8", errors: str = "strict"
+    ) -> IO[str]:
+        return (importlib.resources.files(package) / resource).open(
+            "r", encoding=encoding, errors=errors
+        )
+
+
+if sys.version_info >= (3, 11):
+    import tomllib
+else:
+    from pip._vendor import tomli as tomllib
+
+
+# windows detection, covers cpython and ironpython
+WINDOWS = sys.platform.startswith("win") or (sys.platform == "cli" and os.name == "nt")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/compatibility_tags.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/compatibility_tags.py
new file mode 100644
index 0000000000000000000000000000000000000000..6d98171daf9e3a05a542a56e8439c24ff4746cf5
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/compatibility_tags.py
@@ -0,0 +1,201 @@
+"""Generate and work with PEP 425 Compatibility Tags."""
+
+from __future__ import annotations
+
+import re
+
+from pip._vendor.packaging.tags import (
+    PythonVersion,
+    Tag,
+    android_platforms,
+    compatible_tags,
+    cpython_tags,
+    generic_tags,
+    interpreter_name,
+    interpreter_version,
+    ios_platforms,
+    mac_platforms,
+)
+
+_apple_arch_pat = re.compile(r"(.+)_(\d+)_(\d+)_(.+)")
+
+
+def version_info_to_nodot(version_info: tuple[int, ...]) -> str:
+    # Only use up to the first two numbers.
+    return "".join(map(str, version_info[:2]))
+
+
+def _mac_platforms(arch: str) -> list[str]:
+    match = _apple_arch_pat.match(arch)
+    if match:
+        name, major, minor, actual_arch = match.groups()
+        mac_version = (int(major), int(minor))
+        arches = [
+            # Since we have always only checked that the platform starts
+            # with "macosx", for backwards-compatibility we extract the
+            # actual prefix provided by the user in case they provided
+            # something like "macosxcustom_". It may be good to remove
+            # this as undocumented or deprecate it in the future.
+            "{}_{}".format(name, arch[len("macosx_") :])
+            for arch in mac_platforms(mac_version, actual_arch)
+        ]
+    else:
+        # arch pattern didn't match (?!)
+        arches = [arch]
+    return arches
+
+
+def _ios_platforms(arch: str) -> list[str]:
+    match = _apple_arch_pat.match(arch)
+    if match:
+        name, major, minor, actual_multiarch = match.groups()
+        ios_version = (int(major), int(minor))
+        arches = [
+            # Since we have always only checked that the platform starts
+            # with "ios", for backwards-compatibility we extract the
+            # actual prefix provided by the user in case they provided
+            # something like "ioscustom_". It may be good to remove
+            # this as undocumented or deprecate it in the future.
+            "{}_{}".format(name, arch[len("ios_") :])
+            for arch in ios_platforms(ios_version, actual_multiarch)
+        ]
+    else:
+        # arch pattern didn't match (?!)
+        arches = [arch]
+    return arches
+
+
+def _android_platforms(arch: str) -> list[str]:
+    match = re.fullmatch(r"android_(\d+)_(.+)", arch)
+    if match:
+        api_level, abi = match.groups()
+        return list(android_platforms(int(api_level), abi))
+    else:
+        # arch pattern didn't match (?!)
+        return [arch]
+
+
+def _custom_manylinux_platforms(arch: str) -> list[str]:
+    arches = [arch]
+    arch_prefix, arch_sep, arch_suffix = arch.partition("_")
+    if arch_prefix == "manylinux2014":
+        # manylinux1/manylinux2010 wheels run on most manylinux2014 systems
+        # with the exception of wheels depending on ncurses. PEP 599 states
+        # manylinux1/manylinux2010 wheels should be considered
+        # manylinux2014 wheels:
+        # https://www.python.org/dev/peps/pep-0599/#backwards-compatibility-with-manylinux2010-wheels
+        if arch_suffix in {"i686", "x86_64"}:
+            arches.append("manylinux2010" + arch_sep + arch_suffix)
+            arches.append("manylinux1" + arch_sep + arch_suffix)
+    elif arch_prefix == "manylinux2010":
+        # manylinux1 wheels run on most manylinux2010 systems with the
+        # exception of wheels depending on ncurses. PEP 571 states
+        # manylinux1 wheels should be considered manylinux2010 wheels:
+        # https://www.python.org/dev/peps/pep-0571/#backwards-compatibility-with-manylinux1-wheels
+        arches.append("manylinux1" + arch_sep + arch_suffix)
+    return arches
+
+
+def _get_custom_platforms(arch: str) -> list[str]:
+    arch_prefix, arch_sep, arch_suffix = arch.partition("_")
+    if arch.startswith("macosx"):
+        arches = _mac_platforms(arch)
+    elif arch.startswith("ios"):
+        arches = _ios_platforms(arch)
+    elif arch_prefix == "android":
+        arches = _android_platforms(arch)
+    elif arch_prefix in ["manylinux2014", "manylinux2010"]:
+        arches = _custom_manylinux_platforms(arch)
+    else:
+        arches = [arch]
+    return arches
+
+
+def _expand_allowed_platforms(platforms: list[str] | None) -> list[str] | None:
+    if not platforms:
+        return None
+
+    seen = set()
+    result = []
+
+    for p in platforms:
+        if p in seen:
+            continue
+        additions = [c for c in _get_custom_platforms(p) if c not in seen]
+        seen.update(additions)
+        result.extend(additions)
+
+    return result
+
+
+def _get_python_version(version: str) -> PythonVersion:
+    if len(version) > 1:
+        return int(version[0]), int(version[1:])
+    else:
+        return (int(version[0]),)
+
+
+def _get_custom_interpreter(
+    implementation: str | None = None, version: str | None = None
+) -> str:
+    if implementation is None:
+        implementation = interpreter_name()
+    if version is None:
+        version = interpreter_version()
+    return f"{implementation}{version}"
+
+
+def get_supported(
+    version: str | None = None,
+    platforms: list[str] | None = None,
+    impl: str | None = None,
+    abis: list[str] | None = None,
+) -> list[Tag]:
+    """Return a list of supported tags for each version specified in
+    `versions`.
+
+    :param version: a string version, of the form "33" or "32",
+        or None. The version will be assumed to support our ABI.
+    :param platform: specify a list of platforms you want valid
+        tags for, or None. If None, use the local system platform.
+    :param impl: specify the exact implementation you want valid
+        tags for, or None. If None, use the local interpreter impl.
+    :param abis: specify a list of abis you want valid
+        tags for, or None. If None, use the local interpreter abi.
+    """
+    supported: list[Tag] = []
+
+    python_version: PythonVersion | None = None
+    if version is not None:
+        python_version = _get_python_version(version)
+
+    interpreter = _get_custom_interpreter(impl, version)
+
+    platforms = _expand_allowed_platforms(platforms)
+
+    is_cpython = (impl or interpreter_name()) == "cp"
+    if is_cpython:
+        supported.extend(
+            cpython_tags(
+                python_version=python_version,
+                abis=abis,
+                platforms=platforms,
+            )
+        )
+    else:
+        supported.extend(
+            generic_tags(
+                interpreter=interpreter,
+                abis=abis,
+                platforms=platforms,
+            )
+        )
+    supported.extend(
+        compatible_tags(
+            python_version=python_version,
+            interpreter=interpreter,
+            platforms=platforms,
+        )
+    )
+
+    return supported
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/datetime.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/datetime.py
new file mode 100644
index 0000000000000000000000000000000000000000..f8870eacd177083ae2d1050197f4016842bcce79
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/datetime.py
@@ -0,0 +1,28 @@
+"""For when pip wants to check the date or time."""
+
+import datetime
+import sys
+
+
+def today_is_later_than(year: int, month: int, day: int) -> bool:
+    today = datetime.date.today()
+    given = datetime.date(year, month, day)
+
+    return today > given
+
+
+def parse_iso_datetime(isodate: str) -> datetime.datetime:
+    """Convert an ISO format string to a datetime.
+
+    Handles the format 2020-01-22T14:24:01Z (trailing Z)
+    which is not supported by older versions of fromisoformat.
+    """
+    # Python 3.11+ supports Z suffix natively in fromisoformat
+    if sys.version_info >= (3, 11):
+        return datetime.datetime.fromisoformat(isodate)
+    else:
+        return datetime.datetime.fromisoformat(
+            isodate.replace("Z", "+00:00")
+            if isodate.endswith("Z") and ("T" in isodate or " " in isodate.strip())
+            else isodate
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/deprecation.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/deprecation.py
new file mode 100644
index 0000000000000000000000000000000000000000..c272671d824bff7682e479bb0ee39df194082db4
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/deprecation.py
@@ -0,0 +1,144 @@
+"""
+A module that implements tooling to enable easy warnings about deprecations.
+"""
+
+from __future__ import annotations
+
+import logging
+import os
+import warnings
+from typing import Any, TextIO
+
+from pip._vendor.packaging.version import parse
+
+from pip import __version__ as current_version  # NOTE: tests patch this name.
+
+DEPRECATION_MSG_PREFIX = "DEPRECATION: "
+
+
+class PipDeprecationWarning(Warning):
+    include_source: bool = False
+
+
+_original_showwarning: Any = None
+
+
+# Warnings <-> Logging Integration
+def _showwarning(
+    message: Warning | str,
+    category: type[Warning],
+    filename: str,
+    lineno: int,
+    file: TextIO | None = None,
+    line: str | None = None,
+) -> None:
+    if file is not None:
+        if _original_showwarning is not None:
+            _original_showwarning(message, category, filename, lineno, file, line)
+    elif issubclass(category, PipDeprecationWarning):
+        # We use a specially named logger which will handle all of the
+        # deprecation messages for pip.
+        logger = logging.getLogger("pip._internal.deprecations")
+        if isinstance(message, PipDeprecationWarning) and message.include_source:
+            logger.warning("%s (%s:%s)", message, filename, lineno)
+        else:
+            logger.warning(message)
+    else:
+        _original_showwarning(message, category, filename, lineno, file, line)
+
+
+def install_warning_logger() -> None:
+    # Enable our Deprecation Warnings
+    # If we're running pip test suite, promote the PipDeprecationWarning into errors.
+    if os.environ.get("_PIP_TEST_ENV", None):
+        warnings.simplefilter("error", PipDeprecationWarning)
+    else:
+        warnings.simplefilter("default", PipDeprecationWarning, append=True)
+
+    global _original_showwarning
+
+    if _original_showwarning is None:
+        _original_showwarning = warnings.showwarning
+        warnings.showwarning = _showwarning
+
+
+def deprecated(
+    *,
+    reason: str,
+    replacement: str | None,
+    gone_in: str | None,
+    feature_flag: str | None = None,
+    issue: int | None = None,
+    stacklevel: int = 2,
+    include_source: bool = False,
+) -> None:
+    """Helper to deprecate existing functionality.
+
+    reason:
+        Textual reason shown to the user about why this functionality has
+        been deprecated. Should be a complete sentence.
+    replacement:
+        Textual suggestion shown to the user about what alternative
+        functionality they can use.
+    gone_in:
+        The version of pip does this functionality should get removed in.
+        Raises an error if pip's current version is greater than or equal to
+        this.
+    feature_flag:
+        Command-line flag of the form --use-feature={feature_flag} for testing
+        upcoming functionality.
+    issue:
+        Issue number on the tracker that would serve as a useful place for
+        users to find related discussion and provide feedback.
+    stacklevel:
+        How many frames up the call stack to attribute the warning to.
+        Defaults to 2 (the caller of deprecated()).
+    include_source:
+        If True, include the source filename and line number in the warning
+        output. Useful when the warning originates from external code.
+    """
+
+    # Determine whether or not the feature is already gone in this version.
+    is_gone = gone_in is not None and parse(current_version) >= parse(gone_in)
+
+    message_parts = [
+        (reason, f"{DEPRECATION_MSG_PREFIX}{{}}"),
+        (
+            gone_in,
+            (
+                "pip {} will enforce this behaviour change."
+                if not is_gone
+                else "Since pip {}, this is no longer supported."
+            ),
+        ),
+        (
+            replacement,
+            "A possible replacement is {}.",
+        ),
+        (
+            feature_flag,
+            (
+                "You can use the flag --use-feature={} to test the upcoming behaviour."
+                if not is_gone
+                else None
+            ),
+        ),
+        (
+            issue,
+            "Discussion can be found at https://github.com/pypa/pip/issues/{}",
+        ),
+    ]
+
+    message = " ".join(
+        format_str.format(value)
+        for value, format_str in message_parts
+        if format_str is not None and value is not None
+    )
+
+    # Raise as an error if this behaviour is deprecated.
+    if is_gone:
+        raise PipDeprecationWarning(message)
+
+    warning = PipDeprecationWarning(message)
+    warning.include_source = include_source
+    warnings.warn(warning, stacklevel=stacklevel)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/direct_url_helpers.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/direct_url_helpers.py
new file mode 100644
index 0000000000000000000000000000000000000000..f2d6e9037d55d5f03eb9b3cfd0907776b6ef40d5
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/direct_url_helpers.py
@@ -0,0 +1,92 @@
+from __future__ import annotations
+
+from pip._internal.models.direct_url import ArchiveInfo, DirectUrl, DirInfo, VcsInfo
+from pip._internal.models.link import Link
+from pip._internal.utils.urls import path_to_url
+from pip._internal.vcs import vcs
+
+
+def direct_url_as_pep440_direct_reference(direct_url: DirectUrl, name: str) -> str:
+    """Convert a DirectUrl to a pip requirement string."""
+    direct_url.validate()  # if invalid, this is a pip bug
+    requirement = name + " @ "
+    fragments = []
+    if direct_url.vcs_info:
+        requirement += (
+            f"{direct_url.vcs_info.vcs}+{direct_url.url}"
+            f"@{direct_url.vcs_info.commit_id}"
+        )
+    elif direct_url.archive_info:
+        requirement += direct_url.url
+        if direct_url.archive_info.hashes:
+            hash_algorithm, hash_value = next(
+                iter(direct_url.archive_info.hashes.items())
+            )
+            fragments.append(f"{hash_algorithm}={hash_value}")
+    else:
+        assert direct_url.dir_info
+        requirement += direct_url.url
+    if direct_url.subdirectory:
+        fragments.append("subdirectory=" + direct_url.subdirectory)
+    if fragments:
+        requirement += "#" + "&".join(fragments)
+    return requirement
+
+
+def direct_url_for_editable(source_dir: str) -> DirectUrl:
+    return DirectUrl(
+        url=path_to_url(source_dir),
+        dir_info=DirInfo(editable=True),
+    )
+
+
+def direct_url_from_link(
+    link: Link, source_dir: str | None = None, link_is_in_wheel_cache: bool = False
+) -> DirectUrl:
+    if link.is_vcs:
+        vcs_backend = vcs.get_backend_for_scheme(link.scheme)
+        assert vcs_backend
+        url, requested_revision, _ = vcs_backend.get_url_rev_and_auth(
+            link.url_without_fragment
+        )
+        # For VCS links, we need to find out and add commit_id.
+        if link_is_in_wheel_cache:
+            # If the requested VCS link corresponds to a cached
+            # wheel, it means the requested revision was an
+            # immutable commit hash, otherwise it would not have
+            # been cached. In that case we don't have a source_dir
+            # with the VCS checkout.
+            assert requested_revision
+            commit_id = requested_revision
+        else:
+            # If the wheel was not in cache, it means we have
+            # had to checkout from VCS to build and we have a source_dir
+            # which we can inspect to find out the commit id.
+            assert source_dir
+            commit_id = vcs_backend.get_revision(source_dir)
+        return DirectUrl(
+            url=url,
+            vcs_info=VcsInfo(
+                vcs=vcs_backend.name,
+                commit_id=commit_id,
+                requested_revision=requested_revision,
+            ),
+            subdirectory=link.subdirectory_fragment,
+        )
+    elif link.is_existing_dir():
+        return DirectUrl(
+            url=link.url_without_fragment,
+            dir_info=DirInfo(),
+            subdirectory=link.subdirectory_fragment,
+        )
+    else:
+        if link.hash_name:
+            assert link.hash
+            hashes = {link.hash_name: link.hash}
+        else:
+            hashes = None
+        return DirectUrl(
+            url=link.url_without_fragment,
+            archive_info=ArchiveInfo(hashes=hashes),
+            subdirectory=link.subdirectory_fragment,
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/egg_link.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/egg_link.py
new file mode 100644
index 0000000000000000000000000000000000000000..dc85a58b32c5ae30cb432bfa0df58f5f9f5ae22d
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/egg_link.py
@@ -0,0 +1,81 @@
+from __future__ import annotations
+
+import os
+import re
+import sys
+
+from pip._internal.locations import site_packages, user_site
+from pip._internal.utils.virtualenv import (
+    running_under_virtualenv,
+    virtualenv_no_global,
+)
+
+__all__ = [
+    "egg_link_path_from_sys_path",
+    "egg_link_path_from_location",
+]
+
+
+def _egg_link_names(raw_name: str) -> list[str]:
+    """
+    Convert a Name metadata value to a .egg-link name, by applying
+    the same substitution as pkg_resources's safe_name function.
+    Note: we cannot use canonicalize_name because it has a different logic.
+
+    We also look for the raw name (without normalization) as setuptools 69 changed
+    the way it names .egg-link files (https://github.com/pypa/setuptools/issues/4167).
+    """
+    return [
+        re.sub("[^A-Za-z0-9.]+", "-", raw_name) + ".egg-link",
+        f"{raw_name}.egg-link",
+    ]
+
+
+def egg_link_path_from_sys_path(raw_name: str) -> str | None:
+    """
+    Look for a .egg-link file for project name, by walking sys.path.
+    """
+    egg_link_names = _egg_link_names(raw_name)
+    for path_item in sys.path:
+        for egg_link_name in egg_link_names:
+            egg_link = os.path.join(path_item, egg_link_name)
+            if os.path.isfile(egg_link):
+                return egg_link
+    return None
+
+
+def egg_link_path_from_location(raw_name: str) -> str | None:
+    """
+    Return the path for the .egg-link file if it exists, otherwise, None.
+
+    There's 3 scenarios:
+    1) not in a virtualenv
+       try to find in site.USER_SITE, then site_packages
+    2) in a no-global virtualenv
+       try to find in site_packages
+    3) in a yes-global virtualenv
+       try to find in site_packages, then site.USER_SITE
+       (don't look in global location)
+
+    For #1 and #3, there could be odd cases, where there's an egg-link in 2
+    locations.
+
+    This method will just return the first one found.
+    """
+    sites: list[str] = []
+    if running_under_virtualenv():
+        sites.append(site_packages)
+        if not virtualenv_no_global() and user_site:
+            sites.append(user_site)
+    else:
+        if user_site:
+            sites.append(user_site)
+        sites.append(site_packages)
+
+    egg_link_names = _egg_link_names(raw_name)
+    for site in sites:
+        for egg_link_name in egg_link_names:
+            egglink = os.path.join(site, egg_link_name)
+            if os.path.isfile(egglink):
+                return egglink
+    return None
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/entrypoints.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/entrypoints.py
new file mode 100644
index 0000000000000000000000000000000000000000..e3a150eeba061f533a3f3f5be792a82ee853f569
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/entrypoints.py
@@ -0,0 +1,88 @@
+from __future__ import annotations
+
+import itertools
+import os
+import shutil
+import sys
+
+from pip._internal.cli.main import main
+from pip._internal.utils.compat import WINDOWS
+
+_EXECUTABLE_NAMES = [
+    "pip",
+    f"pip{sys.version_info.major}",
+    f"pip{sys.version_info.major}.{sys.version_info.minor}",
+]
+if WINDOWS:
+    _allowed_extensions = {"", ".exe"}
+    _EXECUTABLE_NAMES = [
+        "".join(parts)
+        for parts in itertools.product(_EXECUTABLE_NAMES, _allowed_extensions)
+    ]
+
+
+def _wrapper(args: list[str] | None = None) -> int:
+    """Central wrapper for all old entrypoints.
+
+    Historically pip has had several entrypoints defined. Because of issues
+    arising from PATH, sys.path, multiple Pythons, their interactions, and most
+    of them having a pip installed, users suffer every time an entrypoint gets
+    moved.
+
+    To alleviate this pain, and provide a mechanism for warning users and
+    directing them to an appropriate place for help, we now define all of
+    our old entrypoints as wrappers for the current one.
+    """
+    sys.stderr.write(
+        "WARNING: pip is being invoked by an old script wrapper. This will "
+        "fail in a future version of pip.\n"
+        "Please see https://github.com/pypa/pip/issues/5599 for advice on "
+        "fixing the underlying issue.\n"
+        "To avoid this problem you can invoke Python with '-m pip' instead of "
+        "running pip directly.\n"
+    )
+    return main(args)
+
+
+def get_best_invocation_for_this_pip() -> str:
+    """Try to figure out the best way to invoke pip in the current environment."""
+    binary_directory = "Scripts" if WINDOWS else "bin"
+    binary_prefix = os.path.join(sys.prefix, binary_directory)
+
+    # Try to use pip[X[.Y]] names, if those executables for this environment are
+    # the first on PATH with that name.
+    path_parts = os.path.normcase(os.environ.get("PATH", "")).split(os.pathsep)
+    exe_are_in_PATH = os.path.normcase(binary_prefix) in path_parts
+    if exe_are_in_PATH:
+        for exe_name in _EXECUTABLE_NAMES:
+            found_executable = shutil.which(exe_name)
+            binary_executable = os.path.join(binary_prefix, exe_name)
+            if (
+                found_executable
+                and os.path.exists(binary_executable)
+                and os.path.samefile(
+                    found_executable,
+                    binary_executable,
+                )
+            ):
+                return exe_name
+
+    # Use the `-m` invocation, if there's no "nice" invocation.
+    return f"{get_best_invocation_for_this_python()} -m pip"
+
+
+def get_best_invocation_for_this_python() -> str:
+    """Try to figure out the best way to invoke the current Python."""
+    exe = sys.executable
+    exe_name = os.path.basename(exe)
+
+    # Try to use the basename, if it's the first executable.
+    found_executable = shutil.which(exe_name)
+    # Virtual environments often symlink to their parent Python binaries, but we don't
+    # want to treat the Python binaries as equivalent when the environment's Python is
+    # not on PATH (not activated). Thus, we don't follow symlinks.
+    if found_executable and os.path.samestat(os.lstat(found_executable), os.lstat(exe)):
+        return exe_name
+
+    # Use the full executable name, because we couldn't find something simpler.
+    return exe
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/filesystem.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/filesystem.py
new file mode 100644
index 0000000000000000000000000000000000000000..806aae0bb9c3b468a9eab940e15a8f166f8b4a69
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/filesystem.py
@@ -0,0 +1,201 @@
+from __future__ import annotations
+
+import fnmatch
+import os
+import os.path
+import random
+import sys
+from collections.abc import Callable, Generator
+from contextlib import contextmanager
+from pathlib import Path
+from tempfile import NamedTemporaryFile
+from typing import Any, BinaryIO, cast
+
+from pip._internal.utils.compat import get_path_uid
+from pip._internal.utils.misc import format_size
+from pip._internal.utils.retry import retry
+
+
+def check_path_owner(path: str) -> bool:
+    # If we don't have a way to check the effective uid of this process, then
+    # we'll just assume that we own the directory.
+    if sys.platform == "win32" or not hasattr(os, "geteuid"):
+        return True
+
+    assert os.path.isabs(path)
+
+    previous = None
+    while path != previous:
+        if os.path.lexists(path):
+            # Check if path is writable by current user.
+            if os.geteuid() == 0:
+                # Special handling for root user in order to handle properly
+                # cases where users use sudo without -H flag.
+                try:
+                    path_uid = get_path_uid(path)
+                except OSError:
+                    return False
+                return path_uid == 0
+            else:
+                return os.access(path, os.W_OK)
+        else:
+            previous, path = path, os.path.dirname(path)
+    return False  # assume we don't own the path
+
+
+@contextmanager
+def adjacent_tmp_file(path: str, **kwargs: Any) -> Generator[BinaryIO, None, None]:
+    """Return a file-like object pointing to a tmp file next to path.
+
+    The file is created securely and is ensured to be written to disk
+    after the context reaches its end.
+
+    kwargs will be passed to tempfile.NamedTemporaryFile to control
+    the way the temporary file will be opened.
+    """
+    with NamedTemporaryFile(
+        delete=False,
+        dir=os.path.dirname(path),
+        prefix=os.path.basename(path),
+        suffix=".tmp",
+        **kwargs,
+    ) as f:
+        result = cast(BinaryIO, f)
+        try:
+            yield result
+        finally:
+            result.flush()
+            os.fsync(result.fileno())
+
+
+replace = retry(stop_after_delay=1, wait=0.25)(os.replace)
+
+
+# test_writable_dir and _test_writable_dir_win are copied from Flit,
+# with the author's agreement to also place them under pip's license.
+def test_writable_dir(path: str) -> bool:
+    """Check if a directory is writable.
+
+    Uses os.access() on POSIX, tries creating files on Windows.
+    """
+    # If the directory doesn't exist, find the closest parent that does.
+    while not os.path.isdir(path):
+        parent = os.path.dirname(path)
+        if parent == path:
+            break  # Should never get here, but infinite loops are bad
+        path = parent
+
+    if os.name == "posix":
+        return os.access(path, os.W_OK)
+
+    return _test_writable_dir_win(path)
+
+
+def _test_writable_dir_win(path: str) -> bool:
+    # os.access doesn't work on Windows: http://bugs.python.org/issue2528
+    # and we can't use tempfile: http://bugs.python.org/issue22107
+    basename = "accesstest_deleteme_fishfingers_custard_"
+    alphabet = "abcdefghijklmnopqrstuvwxyz0123456789"
+    for _ in range(10):
+        name = basename + "".join(random.choice(alphabet) for _ in range(6))
+        file = os.path.join(path, name)
+        try:
+            fd = os.open(file, os.O_RDWR | os.O_CREAT | os.O_EXCL)
+        except FileExistsError:
+            pass
+        except PermissionError:
+            # This could be because there's a directory with the same name.
+            # But it's highly unlikely there's a directory called that,
+            # so we'll assume it's because the parent dir is not writable.
+            # This could as well be because the parent dir is not readable,
+            # due to non-privileged user access.
+            return False
+        else:
+            os.close(fd)
+            os.unlink(file)
+            return True
+
+    # This should never be reached
+    raise OSError("Unexpected condition testing for writable directory")
+
+
+def find_files(path: str, pattern: str) -> list[str]:
+    """Returns a list of absolute paths of files beneath path, recursively,
+    with filenames which match the UNIX-style shell glob pattern."""
+    result: list[str] = []
+    for root, _, files in os.walk(path):
+        matches = fnmatch.filter(files, pattern)
+        result.extend(os.path.join(root, f) for f in matches)
+    return result
+
+
+def file_size(path: str) -> int | float:
+    # If it's a symlink, return 0.
+    if os.path.islink(path):
+        return 0
+    return os.path.getsize(path)
+
+
+def format_file_size(path: str) -> str:
+    return format_size(file_size(path))
+
+
+def directory_size(path: str) -> int | float:
+    size = 0.0
+    for root, _dirs, files in os.walk(path):
+        for filename in files:
+            file_path = os.path.join(root, filename)
+            size += file_size(file_path)
+    return size
+
+
+def format_directory_size(path: str) -> str:
+    return format_size(directory_size(path))
+
+
+def copy_directory_permissions(directory: str, target_file: BinaryIO) -> None:
+    mode = (
+        os.stat(directory).st_mode & 0o666  # select read/write permissions of directory
+        | 0o600  # set owner read/write permissions
+    )
+    # Change permissions only if there is no risk of following a symlink.
+    if os.chmod in os.supports_fd:
+        os.chmod(target_file.fileno(), mode)
+    elif os.chmod in os.supports_follow_symlinks:
+        os.chmod(target_file.name, mode, follow_symlinks=False)
+
+
+def _subdirs_without_generic(
+    path: str, predicate: Callable[[str, list[str]], bool]
+) -> Generator[Path]:
+    """Yields every subdirectory of +path+ that has no files matching the
+    predicate under it."""
+
+    directories = []
+    excluded: set[Path] = set()
+
+    for root_str, _, filenames in os.walk(Path(path).resolve()):
+        root = Path(root_str)
+        if predicate(root_str, filenames):
+            # This directory should be excluded, so exclude it and all of its
+            # parent directories.
+            # The last item in root.parents is ".", so we ignore it.
+            excluded.update(root.parents[:-1])
+            excluded.add(root)
+        directories.append(root)
+
+    for d in sorted(directories, reverse=True):
+        if d not in excluded:
+            yield d
+
+
+def subdirs_without_files(path: str) -> Generator[Path]:
+    """Yields every subdirectory of +path+ that has no files under it."""
+    return _subdirs_without_generic(path, lambda root, filenames: len(filenames) > 0)
+
+
+def subdirs_without_wheels(path: str) -> Generator[Path]:
+    """Yields every subdirectory of +path+ that has no .whl files under it."""
+    return _subdirs_without_generic(
+        path, lambda root, filenames: any(x.endswith(".whl") for x in filenames)
+    )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/filetypes.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/filetypes.py
new file mode 100644
index 0000000000000000000000000000000000000000..2b8baad7cd61cb508087ef4e16202ea54dad1601
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/filetypes.py
@@ -0,0 +1,24 @@
+"""Filetype information."""
+
+from pip._internal.utils.misc import splitext
+
+WHEEL_EXTENSION = ".whl"
+BZ2_EXTENSIONS: tuple[str, ...] = (".tar.bz2", ".tbz")
+XZ_EXTENSIONS: tuple[str, ...] = (
+    ".tar.xz",
+    ".txz",
+    ".tlz",
+    ".tar.lz",
+    ".tar.lzma",
+)
+ZIP_EXTENSIONS: tuple[str, ...] = (".zip", WHEEL_EXTENSION)
+TAR_EXTENSIONS: tuple[str, ...] = (".tar.gz", ".tgz", ".tar")
+ARCHIVE_EXTENSIONS = ZIP_EXTENSIONS + BZ2_EXTENSIONS + TAR_EXTENSIONS + XZ_EXTENSIONS
+
+
+def is_archive_file(name: str) -> bool:
+    """Return True if `name` is a considered as an archive file."""
+    ext = splitext(name)[1].lower()
+    if ext in ARCHIVE_EXTENSIONS:
+        return True
+    return False
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/glibc.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/glibc.py
new file mode 100644
index 0000000000000000000000000000000000000000..2cb3013c7d9e364beb99fb2c9b461e697dbf20f3
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/glibc.py
@@ -0,0 +1,102 @@
+from __future__ import annotations
+
+import os
+import sys
+
+
+def glibc_version_string() -> str | None:
+    "Returns glibc version string, or None if not using glibc."
+    return glibc_version_string_confstr() or glibc_version_string_ctypes()
+
+
+def glibc_version_string_confstr() -> str | None:
+    "Primary implementation of glibc_version_string using os.confstr."
+    # os.confstr is quite a bit faster than ctypes.DLL. It's also less likely
+    # to be broken or missing. This strategy is used in the standard library
+    # platform module:
+    # https://github.com/python/cpython/blob/fcf1d003bf4f0100c9d0921ff3d70e1127ca1b71/Lib/platform.py#L175-L183
+    if sys.platform == "win32":
+        return None
+    try:
+        gnu_libc_version = os.confstr("CS_GNU_LIBC_VERSION")
+        if gnu_libc_version is None:
+            return None
+        # os.confstr("CS_GNU_LIBC_VERSION") returns a string like "glibc 2.17":
+        _, version = gnu_libc_version.split()
+    except (AttributeError, OSError, ValueError):
+        # os.confstr() or CS_GNU_LIBC_VERSION not available (or a bad value)...
+        return None
+    return version
+
+
+def glibc_version_string_ctypes() -> str | None:
+    "Fallback implementation of glibc_version_string using ctypes."
+
+    try:
+        import ctypes
+    except ImportError:
+        return None
+
+    # ctypes.CDLL(None) internally calls dlopen(NULL), and as the dlopen
+    # manpage says, "If filename is NULL, then the returned handle is for the
+    # main program". This way we can let the linker do the work to figure out
+    # which libc our process is actually using.
+    #
+    # We must also handle the special case where the executable is not a
+    # dynamically linked executable. This can occur when using musl libc,
+    # for example. In this situation, dlopen() will error, leading to an
+    # OSError. Interestingly, at least in the case of musl, there is no
+    # errno set on the OSError. The single string argument used to construct
+    # OSError comes from libc itself and is therefore not portable to
+    # hard code here. In any case, failure to call dlopen() means we
+    # can't proceed, so we bail on our attempt.
+    try:
+        process_namespace = ctypes.CDLL(None)
+    except OSError:
+        return None
+
+    try:
+        gnu_get_libc_version = process_namespace.gnu_get_libc_version
+    except AttributeError:
+        # Symbol doesn't exist -> therefore, we are not linked to
+        # glibc.
+        return None
+
+    # Call gnu_get_libc_version, which returns a string like "2.5"
+    gnu_get_libc_version.restype = ctypes.c_char_p
+    version_str: str = gnu_get_libc_version()
+    # py2 / py3 compatibility:
+    if not isinstance(version_str, str):
+        version_str = version_str.decode("ascii")
+
+    return version_str
+
+
+# platform.libc_ver regularly returns completely nonsensical glibc
+# versions. E.g. on my computer, platform says:
+#
+#   ~$ python2.7 -c 'import platform; print(platform.libc_ver())'
+#   ('glibc', '2.7')
+#   ~$ python3.5 -c 'import platform; print(platform.libc_ver())'
+#   ('glibc', '2.9')
+#
+# But the truth is:
+#
+#   ~$ ldd --version
+#   ldd (Debian GLIBC 2.22-11) 2.22
+#
+# This is unfortunate, because it means that the linehaul data on libc
+# versions that was generated by pip 8.1.2 and earlier is useless and
+# misleading. Solution: instead of using platform, use our code that actually
+# works.
+def libc_ver() -> tuple[str, str]:
+    """Try to determine the glibc version
+
+    Returns a tuple of strings (lib, version) which default to empty strings
+    in case the lookup fails.
+    """
+    glibc_version = glibc_version_string()
+    if glibc_version is None:
+        return ("", "")
+    else:
+        return ("glibc", glibc_version)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/hashes.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/hashes.py
new file mode 100644
index 0000000000000000000000000000000000000000..43f14cf2a3be082846e02186a851580f6b0c6d21
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/hashes.py
@@ -0,0 +1,150 @@
+from __future__ import annotations
+
+import hashlib
+from collections.abc import Iterable
+from typing import TYPE_CHECKING, BinaryIO, NoReturn
+
+from pip._internal.exceptions import HashMismatch, HashMissing, InstallationError
+from pip._internal.utils.misc import read_chunks
+
+if TYPE_CHECKING:
+    from collections.abc import Mapping
+    from hashlib import _Hash
+
+# The recommended hash algo of the moment. Change this whenever the state of
+# the art changes; it won't hurt backward compatibility.
+FAVORITE_HASH = "sha256"
+
+
+# Names of hashlib algorithms allowed by the --hash option and ``pip hash``
+# Currently, those are the ones at least as collision-resistant as sha256.
+STRONG_HASHES = ["sha256", "sha384", "sha512"]
+
+
+class Hashes:
+    """A wrapper that builds multiple hashes at once and checks them against
+    known-good values
+
+    """
+
+    def __init__(self, hashes: dict[str, list[str]] | None = None) -> None:
+        """
+        :param hashes: A dict of algorithm names pointing to lists of allowed
+            hex digests
+        """
+        allowed = {}
+        if hashes is not None:
+            for alg, keys in hashes.items():
+                # Make sure values are always sorted (to ease equality checks)
+                allowed[alg] = [k.lower() for k in sorted(keys)]
+        self._allowed = allowed
+
+    def __and__(self, other: Hashes) -> Hashes:
+        if not isinstance(other, Hashes):
+            return NotImplemented
+
+        # If either of the Hashes object is entirely empty (i.e. no hash
+        # specified at all), all hashes from the other object are allowed.
+        if not other:
+            return self
+        if not self:
+            return other
+
+        # Otherwise only hashes that present in both objects are allowed.
+        new = {}
+        for alg, values in other._allowed.items():
+            if alg not in self._allowed:
+                continue
+            new[alg] = [v for v in values if v in self._allowed[alg]]
+        return Hashes(new)
+
+    @property
+    def digest_count(self) -> int:
+        return sum(len(digests) for digests in self._allowed.values())
+
+    def is_hash_allowed(self, hash_name: str, hex_digest: str) -> bool:
+        """Return whether the given hex digest is allowed."""
+        return hex_digest in self._allowed.get(hash_name, [])
+
+    def check_against_chunks(self, chunks: Iterable[bytes]) -> None:
+        """Check good hashes against ones built from iterable of chunks of
+        data.
+
+        Raise HashMismatch if none match.
+
+        """
+        gots = {}
+        for hash_name in self._allowed.keys():
+            try:
+                gots[hash_name] = hashlib.new(hash_name)
+            except (ValueError, TypeError):
+                raise InstallationError(f"Unknown hash name: {hash_name}")
+
+        for chunk in chunks:
+            for hash in gots.values():
+                hash.update(chunk)
+
+        for hash_name, got in gots.items():
+            if got.hexdigest() in self._allowed[hash_name]:
+                return
+        self._raise(gots)
+
+    def _raise(self, gots: dict[str, _Hash]) -> NoReturn:
+        raise HashMismatch(self._allowed, gots)
+
+    def check_against_file(self, file: BinaryIO) -> None:
+        """Check good hashes against a file-like object
+
+        Raise HashMismatch if none match.
+
+        """
+        return self.check_against_chunks(read_chunks(file))
+
+    def check_against_path(self, path: str) -> None:
+        with open(path, "rb") as file:
+            return self.check_against_file(file)
+
+    def has_one_of(self, hashes: Mapping[str, str]) -> bool:
+        """Return whether any of the given hashes are allowed."""
+        for hash_name, hex_digest in hashes.items():
+            if self.is_hash_allowed(hash_name, hex_digest):
+                return True
+        return False
+
+    def __bool__(self) -> bool:
+        """Return whether I know any known-good hashes."""
+        return bool(self._allowed)
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, Hashes):
+            return NotImplemented
+        return self._allowed == other._allowed
+
+    def __hash__(self) -> int:
+        return hash(
+            ",".join(
+                sorted(
+                    ":".join((alg, digest))
+                    for alg, digest_list in self._allowed.items()
+                    for digest in digest_list
+                )
+            )
+        )
+
+
+class MissingHashes(Hashes):
+    """A workalike for Hashes used when we're missing a hash for a requirement
+
+    It computes the actual hash of the requirement and raises a HashMissing
+    exception showing it to the user.
+
+    """
+
+    def __init__(self) -> None:
+        """Don't offer the ``hashes`` kwarg."""
+        # Pass our favorite hash in to generate a "gotten hash". With the
+        # empty list, it will never match, so an error will always raise.
+        super().__init__(hashes={FAVORITE_HASH: []})
+
+    def _raise(self, gots: dict[str, _Hash]) -> NoReturn:
+        raise HashMissing(gots[FAVORITE_HASH].hexdigest())
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/logging.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/logging.py
new file mode 100644
index 0000000000000000000000000000000000000000..233ce4e0af8fbd773bf5bc255da3a3eea89f84ee
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/logging.py
@@ -0,0 +1,404 @@
+from __future__ import annotations
+
+import contextlib
+import errno
+import logging
+import logging.handlers
+import os
+import sys
+import threading
+from collections.abc import Generator
+from dataclasses import dataclass
+from io import StringIO, TextIOWrapper
+from logging import Filter
+from typing import Any, ClassVar
+
+from pip._vendor.rich.console import (
+    Console,
+    ConsoleOptions,
+    ConsoleRenderable,
+    RenderableType,
+    RenderResult,
+    RichCast,
+)
+from pip._vendor.rich.highlighter import NullHighlighter
+from pip._vendor.rich.logging import RichHandler
+from pip._vendor.rich.segment import Segment
+from pip._vendor.rich.style import Style
+
+from pip._internal.utils._log import VERBOSE, getLogger
+from pip._internal.utils.compat import WINDOWS
+from pip._internal.utils.deprecation import DEPRECATION_MSG_PREFIX
+from pip._internal.utils.misc import StreamWrapper, ensure_dir, looks_like_ci
+
+_log_state = threading.local()
+_stdout_console = None
+_stderr_console = None
+subprocess_logger = getLogger("pip.subprocessor")
+
+
+class BrokenStdoutLoggingError(Exception):
+    """
+    Raised if BrokenPipeError occurs for the stdout stream while logging.
+    """
+
+
+def _is_broken_pipe_error(exc_class: type[BaseException], exc: BaseException) -> bool:
+    if exc_class is BrokenPipeError:
+        return True
+
+    # On Windows, a broken pipe can show up as EINVAL rather than EPIPE:
+    # https://bugs.python.org/issue19612
+    # https://bugs.python.org/issue30418
+    if not WINDOWS:
+        return False
+
+    return isinstance(exc, OSError) and exc.errno in (errno.EINVAL, errno.EPIPE)
+
+
+@contextlib.contextmanager
+def capture_logging() -> Generator[StringIO, None, None]:
+    """Capture all pip logs in a buffer temporarily."""
+    # Patching sys.std(out|err) directly is not viable as the caller
+    # may want to emit non-logging output (e.g. a rich spinner). To
+    # avoid capturing that, temporarily patch the root logging handlers
+    # to use new rich consoles that write to a StringIO.
+    handlers = {}
+    for handler in logging.getLogger().handlers:
+        if isinstance(handler, RichPipStreamHandler):
+            # Also store the handler's original console so it can be
+            # restored on context exit.
+            handlers[handler] = handler.console
+
+    fake_stream = StreamWrapper.from_stream(sys.stdout)
+    if not handlers:
+        yield fake_stream
+        return
+
+    # HACK: grab no_color attribute from a random handler console since
+    # it's a global option anyway.
+    no_color = next(iter(handlers.values())).no_color
+    fake_console = PipConsole(file=fake_stream, no_color=no_color, soft_wrap=True)
+    try:
+        for handler in handlers:
+            handler.console = fake_console
+        yield fake_stream
+    finally:
+        for handler, original_console in handlers.items():
+            handler.console = original_console
+
+
+@contextlib.contextmanager
+def indent_log(num: int = 2) -> Generator[None, None, None]:
+    """
+    A context manager which will cause the log output to be indented for any
+    log messages emitted inside it.
+    """
+    # For thread-safety
+    _log_state.indentation = get_indentation()
+    _log_state.indentation += num
+    try:
+        yield
+    finally:
+        _log_state.indentation -= num
+
+
+def get_indentation() -> int:
+    return getattr(_log_state, "indentation", 0)
+
+
+class IndentingFormatter(logging.Formatter):
+    default_time_format = "%Y-%m-%dT%H:%M:%S"
+
+    def __init__(
+        self,
+        *args: Any,
+        add_timestamp: bool = False,
+        **kwargs: Any,
+    ) -> None:
+        """
+        A logging.Formatter that obeys the indent_log() context manager.
+
+        :param add_timestamp: A bool indicating output lines should be prefixed
+            with their record's timestamp.
+        """
+        self.add_timestamp = add_timestamp
+        super().__init__(*args, **kwargs)
+
+    def get_message_start(self, formatted: str, levelno: int) -> str:
+        """
+        Return the start of the formatted log message (not counting the
+        prefix to add to each line).
+        """
+        if levelno < logging.WARNING:
+            return ""
+        if formatted.startswith(DEPRECATION_MSG_PREFIX):
+            # Then the message already has a prefix.  We don't want it to
+            # look like "WARNING: DEPRECATION: ...."
+            return ""
+        if levelno < logging.ERROR:
+            return "WARNING: "
+
+        return "ERROR: "
+
+    def format(self, record: logging.LogRecord) -> str:
+        """
+        Calls the standard formatter, but will indent all of the log message
+        lines by our current indentation level.
+        """
+        formatted = super().format(record)
+        message_start = self.get_message_start(formatted, record.levelno)
+        formatted = message_start + formatted
+
+        prefix = ""
+        if self.add_timestamp:
+            prefix = f"{self.formatTime(record)} "
+        prefix += " " * get_indentation()
+        formatted = "".join([prefix + line for line in formatted.splitlines(True)])
+        return formatted
+
+
+@dataclass
+class IndentedRenderable:
+    renderable: RenderableType
+    indent: int
+
+    def __rich_console__(
+        self, console: Console, options: ConsoleOptions
+    ) -> RenderResult:
+        segments = console.render(self.renderable, options)
+        lines = Segment.split_lines(segments)
+        for line in lines:
+            yield Segment(" " * self.indent)
+            yield from line
+            yield Segment("\n")
+
+
+class PipConsole(Console):
+    def on_broken_pipe(self) -> None:
+        # Reraise the original exception, rich 13.8.0+ exits by default
+        # instead, preventing our handler from firing.
+        raise BrokenPipeError() from None
+
+
+def get_console(*, stderr: bool = False) -> Console:
+    if stderr:
+        assert _stderr_console is not None, "stderr rich console is missing!"
+        return _stderr_console
+    else:
+        assert _stdout_console is not None, "stdout rich console is missing!"
+        return _stdout_console
+
+
+class RichPipStreamHandler(RichHandler):
+    KEYWORDS: ClassVar[list[str] | None] = []
+
+    def __init__(self, console: Console) -> None:
+        super().__init__(
+            console=console,
+            show_time=False,
+            show_level=False,
+            show_path=False,
+            highlighter=NullHighlighter(),
+        )
+
+    # Our custom override on Rich's logger, to make things work as we need them to.
+    def emit(self, record: logging.LogRecord) -> None:
+        style: Style | None = None
+
+        # If we are given a diagnostic error to present, present it with indentation.
+        if getattr(record, "rich", False):
+            assert isinstance(record.args, tuple)
+            (rich_renderable,) = record.args
+            assert isinstance(
+                rich_renderable, (ConsoleRenderable, RichCast, str)
+            ), f"{rich_renderable} is not rich-console-renderable"
+
+            renderable: RenderableType = IndentedRenderable(
+                rich_renderable, indent=get_indentation()
+            )
+        else:
+            message = self.format(record)
+            renderable = self.render_message(record, message)
+            if record.levelno is not None:
+                if record.levelno >= logging.ERROR:
+                    style = Style(color="red")
+                elif record.levelno >= logging.WARNING:
+                    style = Style(color="yellow")
+
+        try:
+            self.console.print(renderable, overflow="ignore", crop=False, style=style)
+        except Exception:
+            self.handleError(record)
+
+    def handleError(self, record: logging.LogRecord) -> None:
+        """Called when logging is unable to log some output."""
+
+        exc_class, exc = sys.exc_info()[:2]
+        # If a broken pipe occurred while calling write() or flush() on the
+        # stdout stream in logging's Handler.emit(), then raise our special
+        # exception so we can handle it in main() instead of logging the
+        # broken pipe error and continuing.
+        if (
+            exc_class
+            and exc
+            and self.console.file is sys.stdout
+            and _is_broken_pipe_error(exc_class, exc)
+        ):
+            raise BrokenStdoutLoggingError()
+
+        return super().handleError(record)
+
+
+class BetterRotatingFileHandler(logging.handlers.RotatingFileHandler):
+    def _open(self) -> TextIOWrapper:
+        ensure_dir(os.path.dirname(self.baseFilename))
+        return super()._open()
+
+
+class MaxLevelFilter(Filter):
+    def __init__(self, level: int) -> None:
+        self.level = level
+
+    def filter(self, record: logging.LogRecord) -> bool:
+        return record.levelno < self.level
+
+
+class ExcludeLoggerFilter(Filter):
+    """
+    A logging Filter that excludes records from a logger (or its children).
+    """
+
+    def filter(self, record: logging.LogRecord) -> bool:
+        # The base Filter class allows only records from a logger (or its
+        # children).
+        return not super().filter(record)
+
+
+def setup_logging(verbosity: int, no_color: bool, user_log_file: str | None) -> int:
+    """Configures and sets up all of the logging
+
+    Returns the requested logging level, as its integer value.
+    """
+
+    # Determine the level to be logging at.
+    if verbosity >= 2:
+        level_number = logging.DEBUG
+    elif verbosity == 1:
+        level_number = VERBOSE
+    elif verbosity == -1:
+        level_number = logging.WARNING
+    elif verbosity == -2:
+        level_number = logging.ERROR
+    elif verbosity <= -3:
+        level_number = logging.CRITICAL
+    else:
+        level_number = logging.INFO
+
+    level = logging.getLevelName(level_number)
+
+    # The "root" logger should match the "console" level *unless* we also need
+    # to log to a user log file.
+    include_user_log = user_log_file is not None
+    if include_user_log:
+        additional_log_file = user_log_file
+        root_level = "DEBUG"
+    else:
+        additional_log_file = "/dev/null"
+        root_level = level
+
+    # Disable any logging besides WARNING unless we have DEBUG level logging
+    # enabled for vendored libraries.
+    vendored_log_level = "WARNING" if level in ["INFO", "ERROR"] else "DEBUG"
+
+    # Shorthands for clarity
+    handler_classes = {
+        "stream": "pip._internal.utils.logging.RichPipStreamHandler",
+        "file": "pip._internal.utils.logging.BetterRotatingFileHandler",
+    }
+    handlers = ["console", "console_errors", "console_subprocess"] + (
+        ["user_log"] if include_user_log else []
+    )
+    global _stdout_console, stderr_console
+    console_options: dict[str, Any] = {"no_color": no_color, "soft_wrap": True}
+    if looks_like_ci():
+        # Don't animate progress bars and status spinners when running
+        # in CI. A lot of CI workflows use FORCE_COLOR and similar envvars
+        # so their CI output remains colorized, but this causes rich to
+        # assume a fully interactive terminal, resulting in any animated
+        # output to span many lines which is distracting (and unhelpful).
+        console_options["force_interactive"] = False
+    _stdout_console = PipConsole(file=sys.stdout, **console_options)
+    _stderr_console = PipConsole(file=sys.stderr, **console_options)
+
+    logging.config.dictConfig(
+        {
+            "version": 1,
+            "disable_existing_loggers": False,
+            "filters": {
+                "exclude_warnings": {
+                    "()": "pip._internal.utils.logging.MaxLevelFilter",
+                    "level": logging.WARNING,
+                },
+                "restrict_to_subprocess": {
+                    "()": "logging.Filter",
+                    "name": subprocess_logger.name,
+                },
+                "exclude_subprocess": {
+                    "()": "pip._internal.utils.logging.ExcludeLoggerFilter",
+                    "name": subprocess_logger.name,
+                },
+            },
+            "formatters": {
+                "indent": {
+                    "()": IndentingFormatter,
+                    "format": "%(message)s",
+                },
+                "indent_with_timestamp": {
+                    "()": IndentingFormatter,
+                    "format": "%(message)s",
+                    "add_timestamp": True,
+                },
+            },
+            "handlers": {
+                "console": {
+                    "level": level,
+                    "class": handler_classes["stream"],
+                    "console": _stdout_console,
+                    "filters": ["exclude_subprocess", "exclude_warnings"],
+                    "formatter": "indent",
+                },
+                "console_errors": {
+                    "level": "WARNING",
+                    "class": handler_classes["stream"],
+                    "console": _stderr_console,
+                    "filters": ["exclude_subprocess"],
+                    "formatter": "indent",
+                },
+                # A handler responsible for logging to the console messages
+                # from the "subprocessor" logger.
+                "console_subprocess": {
+                    "level": level,
+                    "class": handler_classes["stream"],
+                    "console": _stderr_console,
+                    "filters": ["restrict_to_subprocess"],
+                    "formatter": "indent",
+                },
+                "user_log": {
+                    "level": "DEBUG",
+                    "class": handler_classes["file"],
+                    "filename": additional_log_file,
+                    "encoding": "utf-8",
+                    "delay": True,
+                    "formatter": "indent_with_timestamp",
+                },
+            },
+            "root": {
+                "level": root_level,
+                "handlers": handlers,
+            },
+            "loggers": {"pip._vendor": {"level": vendored_log_level}},
+        }
+    )
+
+    return level_number
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/misc.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/misc.py
new file mode 100644
index 0000000000000000000000000000000000000000..c676029481a406937f53b47dfe63f96c3eefc31e
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/misc.py
@@ -0,0 +1,815 @@
+from __future__ import annotations
+
+import errno
+import getpass
+import hashlib
+import logging
+import os
+import pathlib
+import posixpath
+import shutil
+import stat
+import sys
+import sysconfig
+import urllib.parse
+from collections.abc import Callable, Generator, Iterable, Iterator, Mapping, Sequence
+from dataclasses import dataclass
+from functools import partial
+from io import StringIO
+from itertools import filterfalse, tee, zip_longest
+from pathlib import Path
+from types import FunctionType, TracebackType
+from typing import (
+    Any,
+    BinaryIO,
+    TextIO,
+    TypeVar,
+    cast,
+)
+
+from pip._vendor.packaging.requirements import Requirement
+from pip._vendor.pyproject_hooks import BuildBackendHookCaller
+
+from pip import __file__ as pip_location
+from pip import __version__
+from pip._internal.exceptions import CommandError, ExternallyManagedEnvironment
+from pip._internal.locations import get_major_minor_version
+from pip._internal.utils.compat import WINDOWS
+from pip._internal.utils.retry import retry
+from pip._internal.utils.virtualenv import running_under_virtualenv
+
+__all__ = [
+    "rmtree",
+    "display_path",
+    "backup_dir",
+    "ask",
+    "splitext",
+    "format_size",
+    "is_installable_dir",
+    "normalize_path",
+    "renames",
+    "get_prog",
+    "ensure_dir",
+    "remove_auth_from_url",
+    "check_externally_managed",
+    "looks_like_ci",
+    "ConfiguredBuildBackendHookCaller",
+]
+
+logger = logging.getLogger(__name__)
+
+T = TypeVar("T")
+ExcInfo = tuple[type[BaseException], BaseException, TracebackType]
+VersionInfo = tuple[int, int, int]
+NetlocTuple = tuple[str, tuple[str | None, str | None]]
+OnExc = Callable[[FunctionType, Path, BaseException], Any]
+OnErr = Callable[[FunctionType, Path, ExcInfo], Any]
+
+FILE_CHUNK_SIZE = 1024 * 1024
+# These are environment variables present when running under various
+# CI systems.  For each variable, some CI systems that use the variable
+# are indicated.  The collection was chosen so that for each of a number
+# of popular systems, at least one of the environment variables is used.
+# This list is used to provide some indication of and lower bound for
+# CI traffic to PyPI.  Thus, it is okay if the list is not comprehensive.
+# For more background, see: https://github.com/pypa/pip/issues/5499
+CI_ENVIRONMENT_VARIABLES = (
+    # Azure Pipelines
+    "BUILD_BUILDID",
+    # Jenkins
+    "BUILD_ID",
+    # AppVeyor, CircleCI, Codeship, Gitlab CI, Shippable, Travis CI
+    "CI",
+    # Explicit environment variable.
+    "PIP_IS_CI",
+)
+
+
+def get_pip_version() -> str:
+    pip_pkg_dir = os.path.join(os.path.dirname(__file__), "..", "..")
+    pip_pkg_dir = os.path.abspath(pip_pkg_dir)
+
+    return f"pip {__version__} from {pip_pkg_dir} (python {get_major_minor_version()})"
+
+
+def get_runnable_pip() -> str:
+    """Get a file to pass to a Python executable, to run the currently-running pip.
+
+    This is used to run a pip subprocess, for installing requirements into the build
+    environment.
+    """
+    source = pathlib.Path(pip_location).resolve().parent
+
+    if not source.is_dir():
+        # This would happen if someone is using pip from inside a zip file. In that
+        # case, we can use that directly.
+        return str(source)
+
+    return os.fsdecode(source / "__pip-runner__.py")
+
+
+def normalize_version_info(py_version_info: tuple[int, ...]) -> tuple[int, int, int]:
+    """
+    Convert a tuple of ints representing a Python version to one of length
+    three.
+
+    :param py_version_info: a tuple of ints representing a Python version,
+        or None to specify no version. The tuple can have any length.
+
+    :return: a tuple of length three if `py_version_info` is non-None.
+        Otherwise, return `py_version_info` unchanged (i.e. None).
+    """
+    if len(py_version_info) < 3:
+        py_version_info += (3 - len(py_version_info)) * (0,)
+    elif len(py_version_info) > 3:
+        py_version_info = py_version_info[:3]
+
+    return cast("VersionInfo", py_version_info)
+
+
+def ensure_dir(path: str) -> None:
+    """os.path.makedirs without EEXIST."""
+    try:
+        os.makedirs(path)
+    except OSError as e:
+        # Windows can raise spurious ENOTEMPTY errors. See #6426.
+        if e.errno != errno.EEXIST and e.errno != errno.ENOTEMPTY:
+            raise
+
+
+def get_prog() -> str:
+    try:
+        prog = os.path.basename(sys.argv[0])
+        if prog in ("__main__.py", "-c"):
+            return f"{sys.executable} -m pip"
+        else:
+            return prog
+    except (AttributeError, TypeError, IndexError):
+        pass
+    return "pip"
+
+
+# Retry every half second for up to 3 seconds
+@retry(stop_after_delay=3, wait=0.5)
+def rmtree(dir: str, ignore_errors: bool = False, onexc: OnExc | None = None) -> None:
+    if ignore_errors:
+        onexc = _onerror_ignore
+    if onexc is None:
+        onexc = _onerror_reraise
+    handler: OnErr = partial(rmtree_errorhandler, onexc=onexc)
+    if sys.version_info >= (3, 12):
+        # See https://docs.python.org/3.12/whatsnew/3.12.html#shutil.
+        shutil.rmtree(dir, onexc=handler)  # type: ignore
+    else:
+        shutil.rmtree(dir, onerror=handler)  # type: ignore
+
+
+def _onerror_ignore(*_args: Any) -> None:
+    pass
+
+
+def _onerror_reraise(*_args: Any) -> None:
+    raise  # noqa: PLE0704 - Bare exception used to reraise existing exception
+
+
+def rmtree_errorhandler(
+    func: FunctionType,
+    path: Path,
+    exc_info: ExcInfo | BaseException,
+    *,
+    onexc: OnExc = _onerror_reraise,
+) -> None:
+    """
+    `rmtree` error handler to 'force' a file remove (i.e. like `rm -f`).
+
+    * If a file is readonly then it's write flag is set and operation is
+      retried.
+
+    * `onerror` is the original callback from `rmtree(... onerror=onerror)`
+      that is chained at the end if the "rm -f" still fails.
+    """
+    try:
+        st_mode = os.stat(path).st_mode
+    except OSError:
+        # it's equivalent to os.path.exists
+        return
+
+    if not st_mode & stat.S_IWRITE:
+        # convert to read/write
+        try:
+            os.chmod(path, st_mode | stat.S_IWRITE)
+        except OSError:
+            pass
+        else:
+            # use the original function to repeat the operation
+            try:
+                func(path)
+                return
+            except OSError:
+                pass
+
+    if not isinstance(exc_info, BaseException):
+        _, exc_info, _ = exc_info
+    onexc(func, path, exc_info)
+
+
+def display_path(path: str) -> str:
+    """Gives the display value for a given path, making it relative to cwd
+    if possible."""
+    try:
+        relative = Path(path).relative_to(Path.cwd())
+    except ValueError:
+        # If the path isn't relative to the CWD, leave it alone
+        return path
+    return os.path.join(".", relative)
+
+
+def backup_dir(dir: str, ext: str = ".bak") -> str:
+    """Figure out the name of a directory to back up the given dir to
+    (adding .bak, .bak2, etc)"""
+    n = 1
+    extension = ext
+    while os.path.exists(dir + extension):
+        n += 1
+        extension = ext + str(n)
+    return dir + extension
+
+
+def ask_path_exists(message: str, options: Iterable[str]) -> str:
+    for action in os.environ.get("PIP_EXISTS_ACTION", "").split():
+        if action in options:
+            return action
+    return ask(message, options)
+
+
+def _check_no_input(message: str) -> None:
+    """Raise an error if no input is allowed."""
+    if os.environ.get("PIP_NO_INPUT"):
+        raise Exception(
+            f"No input was expected ($PIP_NO_INPUT set); question: {message}"
+        )
+
+
+def ask(message: str, options: Iterable[str]) -> str:
+    """Ask the message interactively, with the given possible responses"""
+    while 1:
+        _check_no_input(message)
+        response = input(message)
+        response = response.strip().lower()
+        if response not in options:
+            print(
+                "Your response ({!r}) was not one of the expected responses: "
+                "{}".format(response, ", ".join(options))
+            )
+        else:
+            return response
+
+
+def ask_input(message: str) -> str:
+    """Ask for input interactively."""
+    _check_no_input(message)
+    return input(message)
+
+
+def ask_password(message: str) -> str:
+    """Ask for a password interactively."""
+    _check_no_input(message)
+    return getpass.getpass(message)
+
+
+def strtobool(val: str) -> int:
+    """Convert a string representation of truth to true (1) or false (0).
+
+    True values are 'y', 'yes', 't', 'true', 'on', and '1'; false values
+    are 'n', 'no', 'f', 'false', 'off', and '0'.  Raises ValueError if
+    'val' is anything else.
+    """
+    val = val.lower()
+    if val in ("y", "yes", "t", "true", "on", "1"):
+        return 1
+    elif val in ("n", "no", "f", "false", "off", "0"):
+        return 0
+    else:
+        raise ValueError(f"invalid truth value {val!r}")
+
+
+def format_size(bytes: float) -> str:
+    if bytes > 1000 * 1000:
+        return f"{bytes / 1000.0 / 1000:.1f} MB"
+    elif bytes > 10 * 1000:
+        return f"{int(bytes / 1000)} kB"
+    elif bytes > 1000:
+        return f"{bytes / 1000.0:.1f} kB"
+    else:
+        return f"{int(bytes)} bytes"
+
+
+def tabulate(rows: Iterable[Iterable[Any]]) -> tuple[list[str], list[int]]:
+    """Return a list of formatted rows and a list of column sizes.
+
+    For example::
+
+    >>> tabulate([['foobar', 2000], [0xdeadbeef]])
+    (['foobar     2000', '3735928559'], [10, 4])
+    """
+    rows = [tuple(map(str, row)) for row in rows]
+    sizes = [max(map(len, col)) for col in zip_longest(*rows, fillvalue="")]
+    table = [" ".join(map(str.ljust, row, sizes)).rstrip() for row in rows]
+    return table, sizes
+
+
+def is_installable_dir(path: str) -> bool:
+    """Is path is a directory containing pyproject.toml or setup.py?
+
+    If pyproject.toml exists, this is a PEP 517 project. Otherwise we look for
+    a legacy setuptools layout by identifying setup.py. We don't check for the
+    setup.cfg because using it without setup.py is only available for PEP 517
+    projects, which are already covered by the pyproject.toml check.
+    """
+    if not os.path.isdir(path):
+        return False
+    if os.path.isfile(os.path.join(path, "pyproject.toml")):
+        return True
+    if os.path.isfile(os.path.join(path, "setup.py")):
+        return True
+    return False
+
+
+def read_chunks(
+    file: BinaryIO, size: int = FILE_CHUNK_SIZE
+) -> Generator[bytes, None, None]:
+    """Yield pieces of data from a file-like object until EOF."""
+    while True:
+        chunk = file.read(size)
+        if not chunk:
+            break
+        yield chunk
+
+
+def normalize_path(path: str, resolve_symlinks: bool = True) -> str:
+    """
+    Convert a path to its canonical, case-normalized, absolute version.
+
+    """
+    path = os.path.expanduser(path)
+    if resolve_symlinks:
+        path = os.path.realpath(path)
+    else:
+        path = os.path.abspath(path)
+    return os.path.normcase(path)
+
+
+def splitext(path: str) -> tuple[str, str]:
+    """Like os.path.splitext, but take off .tar too"""
+    base, ext = posixpath.splitext(path)
+    if base.lower().endswith(".tar"):
+        ext = base[-4:] + ext
+        base = base[:-4]
+    return base, ext
+
+
+def renames(old: str, new: str) -> None:
+    """Like os.renames(), but handles renaming across devices."""
+    # Implementation borrowed from os.renames().
+    head, tail = os.path.split(new)
+    if head and tail and not os.path.exists(head):
+        os.makedirs(head)
+
+    shutil.move(old, new)
+
+    head, tail = os.path.split(old)
+    if head and tail:
+        try:
+            os.removedirs(head)
+        except OSError:
+            pass
+
+
+def is_local(path: str) -> bool:
+    """
+    Return True if path is within sys.prefix, if we're running in a virtualenv.
+
+    If we're not in a virtualenv, all paths are considered "local."
+
+    Caution: this function assumes the head of path has been normalized
+    with normalize_path.
+    """
+    if not running_under_virtualenv():
+        return True
+    return path.startswith(normalize_path(sys.prefix))
+
+
+def write_output(msg: Any, *args: Any) -> None:
+    logger.info(msg, *args)
+
+
+class StreamWrapper(StringIO):
+    orig_stream: TextIO
+
+    @classmethod
+    def from_stream(cls, orig_stream: TextIO) -> StreamWrapper:
+        ret = cls()
+        ret.orig_stream = orig_stream
+        return ret
+
+    # compileall.compile_dir() needs stdout.encoding to print to stdout
+    # type ignore is because TextIOBase.encoding is writeable
+    @property
+    def encoding(self) -> str:  # type: ignore
+        return self.orig_stream.encoding
+
+
+# Simulates an enum
+def enum(*sequential: Any, **named: Any) -> type[Any]:
+    enums = dict(zip(sequential, range(len(sequential))), **named)
+    reverse = {value: key for key, value in enums.items()}
+    enums["reverse_mapping"] = reverse
+    return type("Enum", (), enums)
+
+
+def build_netloc(host: str, port: int | None) -> str:
+    """
+    Build a netloc from a host-port pair
+    """
+    if port is None:
+        return host
+    if ":" in host:
+        # Only wrap host with square brackets when it is IPv6
+        host = f"[{host}]"
+    return f"{host}:{port}"
+
+
+def build_url_from_netloc(netloc: str, scheme: str = "https") -> str:
+    """
+    Build a full URL from a netloc.
+    """
+    if netloc.count(":") >= 2 and "@" not in netloc and "[" not in netloc:
+        # It must be a bare IPv6 address, so wrap it with brackets.
+        netloc = f"[{netloc}]"
+    return f"{scheme}://{netloc}"
+
+
+def parse_netloc(netloc: str) -> tuple[str | None, int | None]:
+    """
+    Return the host-port pair from a netloc.
+    """
+    url = build_url_from_netloc(netloc)
+    parsed = urllib.parse.urlparse(url)
+    return parsed.hostname, parsed.port
+
+
+def split_auth_from_netloc(netloc: str) -> NetlocTuple:
+    """
+    Parse out and remove the auth information from a netloc.
+
+    Returns: (netloc, (username, password)).
+    """
+    if "@" not in netloc:
+        return netloc, (None, None)
+
+    # Split from the right because that's how urllib.parse.urlsplit()
+    # behaves if more than one @ is present (which can be checked using
+    # the password attribute of urlsplit()'s return value).
+    auth, netloc = netloc.rsplit("@", 1)
+    pw: str | None = None
+    if ":" in auth:
+        # Split from the left because that's how urllib.parse.urlsplit()
+        # behaves if more than one : is present (which again can be checked
+        # using the password attribute of the return value)
+        user, pw = auth.split(":", 1)
+    else:
+        user, pw = auth, None
+
+    user = urllib.parse.unquote(user)
+    if pw is not None:
+        pw = urllib.parse.unquote(pw)
+
+    return netloc, (user, pw)
+
+
+def redact_netloc(netloc: str) -> str:
+    """
+    Replace the sensitive data in a netloc with "****", if it exists.
+
+    For example:
+        - "user:pass@example.com" returns "user:****@example.com"
+        - "accesstoken@example.com" returns "****@example.com"
+    """
+    netloc, (user, password) = split_auth_from_netloc(netloc)
+    if user is None:
+        return netloc
+    if password is None:
+        user = "****"
+        password = ""
+    else:
+        user = urllib.parse.quote(user)
+        password = ":****"
+    return f"{user}{password}@{netloc}"
+
+
+def _transform_url(
+    url: str, transform_netloc: Callable[[str], tuple[Any, ...]]
+) -> tuple[str, NetlocTuple]:
+    """Transform and replace netloc in a url.
+
+    transform_netloc is a function taking the netloc and returning a
+    tuple. The first element of this tuple is the new netloc. The
+    entire tuple is returned.
+
+    Returns a tuple containing the transformed url as item 0 and the
+    original tuple returned by transform_netloc as item 1.
+    """
+    purl = urllib.parse.urlsplit(url)
+    netloc_tuple = transform_netloc(purl.netloc)
+    # stripped url
+    url_pieces = (purl.scheme, netloc_tuple[0], purl.path, purl.query, purl.fragment)
+    surl = urllib.parse.urlunsplit(url_pieces)
+    return surl, cast("NetlocTuple", netloc_tuple)
+
+
+def _get_netloc(netloc: str) -> NetlocTuple:
+    return split_auth_from_netloc(netloc)
+
+
+def _redact_netloc(netloc: str) -> tuple[str]:
+    return (redact_netloc(netloc),)
+
+
+def split_auth_netloc_from_url(
+    url: str,
+) -> tuple[str, str, tuple[str | None, str | None]]:
+    """
+    Parse a url into separate netloc, auth, and url with no auth.
+
+    Returns: (url_without_auth, netloc, (username, password))
+    """
+    url_without_auth, (netloc, auth) = _transform_url(url, _get_netloc)
+    return url_without_auth, netloc, auth
+
+
+def remove_auth_from_url(url: str) -> str:
+    """Return a copy of url with 'username:password@' removed."""
+    # username/pass params are passed to subversion through flags
+    # and are not recognized in the url.
+    return _transform_url(url, _get_netloc)[0]
+
+
+def redact_auth_from_url(url: str) -> str:
+    """Replace the password in a given url with ****."""
+    return _transform_url(url, _redact_netloc)[0]
+
+
+def redact_auth_from_requirement(req: Requirement) -> str:
+    """Replace the password in a given requirement url with ****."""
+    if not req.url:
+        return str(req)
+    return str(req).replace(req.url, redact_auth_from_url(req.url))
+
+
+@dataclass(frozen=True)
+class HiddenText:
+    secret: str
+    redacted: str
+
+    def __repr__(self) -> str:
+        return f""
+
+    def __str__(self) -> str:
+        return self.redacted
+
+    def __eq__(self, other: object) -> bool:
+        # Equality is particularly useful for testing.
+        if type(self) is type(other):
+            # The string being used for redaction doesn't also have to match,
+            # just the raw, original string.
+            return self.secret == other.secret
+        return NotImplemented
+
+    # Disable hashing, since we have a custom __eq__ and don't need hash-ability
+    # (yet). The only required property of hashing is that objects which compare
+    # equal have the same hash value.
+    __hash__ = None  # type: ignore[assignment]
+
+
+def hide_value(value: str) -> HiddenText:
+    return HiddenText(value, redacted="****")
+
+
+def hide_url(url: str) -> HiddenText:
+    redacted = redact_auth_from_url(url)
+    return HiddenText(url, redacted=redacted)
+
+
+def protect_pip_from_modification_on_windows(modifying_pip: bool) -> None:
+    """Protection of pip.exe from modification on Windows
+
+    On Windows, any operation modifying pip should be run as:
+        python -m pip ...
+    """
+    pip_names = [
+        "pip",
+        f"pip{sys.version_info.major}",
+        f"pip{sys.version_info.major}.{sys.version_info.minor}",
+    ]
+
+    # See https://github.com/pypa/pip/issues/1299 for more discussion
+    should_show_use_python_msg = (
+        modifying_pip and WINDOWS and os.path.basename(sys.argv[0]) in pip_names
+    )
+
+    if should_show_use_python_msg:
+        new_command = [sys.executable, "-m", "pip"] + sys.argv[1:]
+        raise CommandError(
+            "To modify pip, please run the following command:\n{}".format(
+                " ".join(new_command)
+            )
+        )
+
+
+def check_externally_managed() -> None:
+    """Check whether the current environment is externally managed.
+
+    If the ``EXTERNALLY-MANAGED`` config file is found, the current environment
+    is considered externally managed, and an ExternallyManagedEnvironment is
+    raised.
+    """
+    if running_under_virtualenv():
+        return
+    marker = os.path.join(sysconfig.get_path("stdlib"), "EXTERNALLY-MANAGED")
+    if not os.path.isfile(marker):
+        return
+    raise ExternallyManagedEnvironment.from_config(marker)
+
+
+def is_console_interactive() -> bool:
+    """Is this console interactive?"""
+    return sys.stdin is not None and sys.stdin.isatty()
+
+
+def hash_file(path: str, blocksize: int = 1 << 20) -> tuple[Any, int]:
+    """Return (hash, length) for path using hashlib.sha256()"""
+
+    h = hashlib.sha256()
+    length = 0
+    with open(path, "rb") as f:
+        for block in read_chunks(f, size=blocksize):
+            length += len(block)
+            h.update(block)
+    return h, length
+
+
+def pairwise(iterable: Iterable[Any]) -> Iterator[tuple[Any, Any]]:
+    """
+    Return paired elements.
+
+    For example:
+        s -> (s0, s1), (s2, s3), (s4, s5), ...
+    """
+    iterable = iter(iterable)
+    return zip_longest(iterable, iterable)
+
+
+def partition(
+    pred: Callable[[T], bool], iterable: Iterable[T]
+) -> tuple[Iterable[T], Iterable[T]]:
+    """
+    Use a predicate to partition entries into false entries and true entries,
+    like
+
+        partition(is_odd, range(10)) --> 0 2 4 6 8   and  1 3 5 7 9
+    """
+    t1, t2 = tee(iterable)
+    return filterfalse(pred, t1), filter(pred, t2)
+
+
+class ConfiguredBuildBackendHookCaller(BuildBackendHookCaller):
+    def __init__(
+        self,
+        config_holder: Any,
+        source_dir: str,
+        build_backend: str,
+        backend_path: str | None = None,
+        runner: Callable[..., None] | None = None,
+        python_executable: str | None = None,
+    ):
+        super().__init__(
+            source_dir, build_backend, backend_path, runner, python_executable
+        )
+        self.config_holder = config_holder
+
+    def build_wheel(
+        self,
+        wheel_directory: str,
+        config_settings: Mapping[str, Any] | None = None,
+        metadata_directory: str | None = None,
+    ) -> str:
+        cs = self.config_holder.config_settings
+        return super().build_wheel(
+            wheel_directory, config_settings=cs, metadata_directory=metadata_directory
+        )
+
+    def build_sdist(
+        self,
+        sdist_directory: str,
+        config_settings: Mapping[str, Any] | None = None,
+    ) -> str:
+        cs = self.config_holder.config_settings
+        return super().build_sdist(sdist_directory, config_settings=cs)
+
+    def build_editable(
+        self,
+        wheel_directory: str,
+        config_settings: Mapping[str, Any] | None = None,
+        metadata_directory: str | None = None,
+    ) -> str:
+        cs = self.config_holder.config_settings
+        return super().build_editable(
+            wheel_directory, config_settings=cs, metadata_directory=metadata_directory
+        )
+
+    def get_requires_for_build_wheel(
+        self, config_settings: Mapping[str, Any] | None = None
+    ) -> Sequence[str]:
+        cs = self.config_holder.config_settings
+        return super().get_requires_for_build_wheel(config_settings=cs)
+
+    def get_requires_for_build_sdist(
+        self, config_settings: Mapping[str, Any] | None = None
+    ) -> Sequence[str]:
+        cs = self.config_holder.config_settings
+        return super().get_requires_for_build_sdist(config_settings=cs)
+
+    def get_requires_for_build_editable(
+        self, config_settings: Mapping[str, Any] | None = None
+    ) -> Sequence[str]:
+        cs = self.config_holder.config_settings
+        return super().get_requires_for_build_editable(config_settings=cs)
+
+    def prepare_metadata_for_build_wheel(
+        self,
+        metadata_directory: str,
+        config_settings: Mapping[str, Any] | None = None,
+        _allow_fallback: bool = True,
+    ) -> str:
+        cs = self.config_holder.config_settings
+        return super().prepare_metadata_for_build_wheel(
+            metadata_directory=metadata_directory,
+            config_settings=cs,
+            _allow_fallback=_allow_fallback,
+        )
+
+    def prepare_metadata_for_build_editable(
+        self,
+        metadata_directory: str,
+        config_settings: Mapping[str, Any] | None = None,
+        _allow_fallback: bool = True,
+    ) -> str | None:
+        cs = self.config_holder.config_settings
+        return super().prepare_metadata_for_build_editable(
+            metadata_directory=metadata_directory,
+            config_settings=cs,
+            _allow_fallback=_allow_fallback,
+        )
+
+
+def warn_if_run_as_root() -> None:
+    """Output a warning for sudo users on Unix.
+
+    In a virtual environment, sudo pip still writes to virtualenv.
+    On Windows, users may run pip as Administrator without issues.
+    This warning only applies to Unix root users outside of virtualenv.
+    """
+    if running_under_virtualenv():
+        return
+    if not hasattr(os, "getuid"):
+        return
+    # On Windows, there are no "system managed" Python packages. Installing as
+    # Administrator via pip is the correct way of updating system environments.
+    #
+    # We choose sys.platform over utils.compat.WINDOWS here to enable Mypy platform
+    # checks: https://mypy.readthedocs.io/en/stable/common_issues.html
+    if sys.platform == "win32" or sys.platform == "cygwin":
+        return
+
+    if os.getuid() != 0:
+        return
+
+    logger.warning(
+        "Running pip as the 'root' user can result in broken permissions and "
+        "conflicting behaviour with the system package manager, possibly "
+        "rendering your system unusable. "
+        "It is recommended to use a virtual environment instead: "
+        "https://pip.pypa.io/warnings/venv. "
+        "Use the --root-user-action option if you know what you are doing and "
+        "want to suppress this warning."
+    )
+
+
+def looks_like_ci() -> bool:
+    """
+    Return whether it looks like pip is running under CI.
+    """
+    # We don't use the method of checking for a tty (e.g. using isatty())
+    # because some CI systems mimic a tty (e.g. Travis CI).  Thus that
+    # method doesn't provide definitive information in either direction.
+    return any(name in os.environ for name in CI_ENVIRONMENT_VARIABLES)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/packaging.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/packaging.py
new file mode 100644
index 0000000000000000000000000000000000000000..3cbc0490aa1febe2dab8069a115ca13f0ad21c38
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/packaging.py
@@ -0,0 +1,44 @@
+from __future__ import annotations
+
+import functools
+import logging
+
+from pip._vendor.packaging import specifiers, version
+from pip._vendor.packaging.requirements import Requirement
+
+logger = logging.getLogger(__name__)
+
+
+@functools.lru_cache(maxsize=32)
+def check_requires_python(
+    requires_python: str | None, version_info: tuple[int, ...]
+) -> bool:
+    """
+    Check if the given Python version matches a "Requires-Python" specifier.
+
+    :param version_info: A 3-tuple of ints representing a Python
+        major-minor-micro version to check (e.g. `sys.version_info[:3]`).
+
+    :return: `True` if the given Python version satisfies the requirement.
+        Otherwise, return `False`.
+
+    :raises InvalidSpecifier: If `requires_python` has an invalid format.
+    """
+    if requires_python is None:
+        # The package provides no information
+        return True
+    requires_python_specifier = specifiers.SpecifierSet(requires_python)
+
+    python_version = version.parse(".".join(map(str, version_info)))
+    return python_version in requires_python_specifier
+
+
+@functools.lru_cache(maxsize=10000)
+def get_requirement(req_string: str) -> Requirement:
+    """Construct a packaging.Requirement object with caching"""
+    # Parsing requirement strings is expensive, and is also expected to happen
+    # with a low diversity of different arguments (at least relative the number
+    # constructed). This method adds a cache to requirement object creation to
+    # minimize repeated parsing of the same string to construct equivalent
+    # Requirement objects.
+    return Requirement(req_string)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/pylock.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/pylock.py
new file mode 100644
index 0000000000000000000000000000000000000000..70df98693bae1d809fe7b29c6c438641782e4f0c
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/pylock.py
@@ -0,0 +1,299 @@
+from __future__ import annotations
+
+import os
+import re
+from collections.abc import Iterable, Iterator
+from pathlib import Path
+from typing import TYPE_CHECKING
+from urllib.parse import urljoin, urlsplit
+
+from pip._vendor.packaging.pylock import (
+    Package,
+    PackageArchive,
+    PackageDirectory,
+    PackageSdist,
+    PackageVcs,
+    PackageWheel,
+    Pylock,
+    is_valid_pylock_path,
+)
+from pip._vendor.packaging.version import Version
+
+from pip._internal.exceptions import DiagnosticPipError, InstallationError
+from pip._internal.models.link import Link
+from pip._internal.utils.compat import tomllib
+from pip._internal.utils.urls import path_to_url, url_to_path
+
+if TYPE_CHECKING:
+    from pip._internal.network.session import PipSession
+    from pip._internal.req.req_install import InstallRequirement
+
+
+def _pylock_package_from_install_requirement(
+    ireq: InstallRequirement, base_dir: Path
+) -> Package:
+    base_dir = base_dir.resolve()
+    dist = ireq.get_dist()
+    download_info = ireq.download_info
+    assert download_info
+    package_version = None
+    package_vcs = None
+    package_directory = None
+    package_archive = None
+    package_sdist = None
+    package_wheels = None
+    if ireq.is_direct:
+        if download_info.vcs_info:
+            package_vcs = PackageVcs(
+                type=download_info.vcs_info.vcs,
+                url=download_info.url,
+                path=None,
+                requested_revision=download_info.vcs_info.requested_revision,
+                commit_id=download_info.vcs_info.commit_id,
+                subdirectory=download_info.subdirectory,
+            )
+        elif download_info.dir_info:
+            package_directory = PackageDirectory(
+                path=(
+                    Path(url_to_path(download_info.url))
+                    .resolve()
+                    .relative_to(base_dir)
+                    .as_posix()
+                ),
+                editable=(
+                    download_info.dir_info.editable
+                    if download_info.dir_info.editable
+                    else None
+                ),
+                subdirectory=download_info.subdirectory,
+            )
+        elif download_info.archive_info:
+            if not download_info.archive_info.hashes:
+                raise NotImplementedError()
+            package_archive = PackageArchive(
+                url=download_info.url,
+                path=None,
+                hashes=download_info.archive_info.hashes,
+                subdirectory=download_info.subdirectory,
+            )
+        else:
+            # should never happen
+            raise NotImplementedError()
+    else:
+        package_version = dist.version
+        if download_info.archive_info:
+            if not download_info.archive_info.hashes:
+                raise NotImplementedError()
+            link = Link(download_info.url)
+            if link.is_wheel:
+                package_wheels = [
+                    PackageWheel(
+                        name=link.filename,
+                        url=download_info.url,
+                        hashes=download_info.archive_info.hashes,
+                    )
+                ]
+            else:
+                package_sdist = PackageSdist(
+                    name=link.filename,
+                    url=download_info.url,
+                    hashes=download_info.archive_info.hashes,
+                )
+        else:
+            # should never happen
+            raise NotImplementedError()
+    return Package(
+        name=dist.canonical_name,
+        version=package_version,
+        vcs=package_vcs,
+        directory=package_directory,
+        archive=package_archive,
+        sdist=package_sdist,
+        wheels=package_wheels,
+    )
+
+
+def pylock_from_install_requirements(
+    install_requirements: Iterable[InstallRequirement], base_dir: Path
+) -> Pylock:
+    return Pylock(
+        lock_version=Version("1.0"),
+        created_by="pip",
+        packages=sorted(
+            (
+                _pylock_package_from_install_requirement(ireq, base_dir)
+                for ireq in install_requirements
+            ),
+            key=lambda p: p.name,
+        ),
+    )
+
+
+_SCHEME_RE = re.compile("^(http|https|file)://", re.IGNORECASE)
+
+
+def _is_url(s: str) -> bool:
+    return bool(_SCHEME_RE.match(s))
+
+
+def is_valid_pylock_filename(filename: str) -> bool:
+    if _is_url(filename):
+        path = Path(urlsplit(filename).path.rpartition("/")[-1])
+    else:
+        path = Path(filename)
+    return is_valid_pylock_path(path)
+
+
+def _package_dist_url(
+    pylock_path_or_url: str, path: str | None, url: str | None
+) -> str:
+    """Compute an url from a Pylock package path and url.
+
+    Give priority to path over url. If path is relative,
+    compute an url using the pylock file location as base.
+    """
+    if path is not None:
+        if not os.path.isabs(path):
+            # relative path, join to pylock location
+            if _is_url(pylock_path_or_url):
+                dist_url = urljoin(pylock_path_or_url, path)
+                # os.path.isabs does not treat a scheme-carrying value like
+                # "file:..." as absolute, so it reaches here and urljoin honors
+                # its scheme, discarding the pylock base. Only keep the result
+                # if its scheme and host still match the lock's own.
+                base = urlsplit(pylock_path_or_url)
+                target = urlsplit(dist_url)
+                if (target.scheme, target.netloc) != (base.scheme, base.netloc):
+                    raise InstallationError(
+                        f"Path {path!r} in pylock file obtained from a URL "
+                        f"resolves outside its location: {pylock_path_or_url!r}"
+                    )
+                return dist_url
+            else:
+                return path_to_url(
+                    os.path.join(os.path.dirname(pylock_path_or_url), path)
+                )
+        else:
+            # absolute path, reject if pylock comes from a URL
+            if _is_url(pylock_path_or_url):
+                raise InstallationError(
+                    f"Absolute paths are not supported in pylock files obtained "
+                    f"from a URL: {path!r} in {pylock_path_or_url!r}"
+                )
+            return path_to_url(path)
+    else:
+        assert url is not None  # guaranteed by packaging.pylock validation
+        return url
+
+
+def package_vcs_requirement_url(
+    pylock_path_or_url: str, package_vcs: PackageVcs
+) -> str:
+    dist_url = _package_dist_url(pylock_path_or_url, package_vcs.path, package_vcs.url)
+    url = f"{package_vcs.type}+{dist_url}@{package_vcs.commit_id}"
+    if package_vcs.subdirectory:
+        if "#" in url:
+            raise InstallationError(
+                f"Package URL {url!r} cannot contain fragments in combination "
+                f"with subdirectory field (in {pylock_path_or_url!r})"
+            )
+        url += "#subdirectory=" + package_vcs.subdirectory
+    return url
+
+
+def package_archive_requirement_url(
+    pylock_path_or_url: str, package_archive: PackageArchive
+) -> str:
+    url = _package_dist_url(
+        pylock_path_or_url, package_archive.path, package_archive.url
+    )
+    if package_archive.subdirectory:
+        if "#" in url:
+            raise InstallationError(
+                f"Package URL {url!r} cannot contain fragments in combination "
+                f"with subdirectory field (in {pylock_path_or_url!r})"
+            )
+        url += "#subdirectory=" + package_archive.subdirectory
+    return url
+
+
+def package_directory_requirement_url(
+    pylock_path_or_url: str, package_directory: PackageDirectory
+) -> str:
+    if _is_url(pylock_path_or_url) and not pylock_path_or_url.startswith("file://"):
+        raise InstallationError(
+            f"Directory entries are not supported in remote pylock.toml "
+            f"{pylock_path_or_url!r}"
+        )
+    url = _package_dist_url(pylock_path_or_url, package_directory.path, None)
+    assert url.startswith("file://")
+    if not url.endswith("/"):
+        url += "/"
+    if package_directory.subdirectory:
+        url += package_directory.subdirectory
+        if not url.endswith("/"):
+            url += "/"
+    return url
+
+
+def package_sdist_requirement_url(
+    pylock_path_or_url: str, package_sdist: PackageSdist
+) -> str:
+    return _package_dist_url(pylock_path_or_url, package_sdist.path, package_sdist.url)
+
+
+def package_wheel_requirement_url(
+    pylock_path_or_url: str, package_wheel: PackageWheel
+) -> str:
+    return _package_dist_url(pylock_path_or_url, package_wheel.path, package_wheel.url)
+
+
+def _get_pylock_path_or_url_content(path_or_url: str, session: PipSession) -> str:
+    # TODO: refactor - this is similar to req_file.get_file_content
+    scheme = urlsplit(path_or_url).scheme
+    # Pip has special support for file:// URLs (LocalFSAdapter).
+    if scheme in ["http", "https", "file"]:
+        # Delay importing heavy network modules until absolutely necessary.
+        from pip._internal.network.utils import raise_for_status
+
+        resp = session.get(path_or_url)
+        raise_for_status(resp)
+        return resp.text
+
+    # Assume this is a bare path.
+    return Path(path_or_url).read_text(encoding="utf-8")
+
+
+def select_from_pylock_path_or_url(
+    pylock_path_or_url: str,
+    session: PipSession,
+) -> Iterator[
+    tuple[
+        Package,
+        PackageVcs | PackageDirectory | PackageArchive | PackageWheel | PackageSdist,
+    ]
+]:
+    try:
+        pylock_content = _get_pylock_path_or_url_content(pylock_path_or_url, session)
+    except DiagnosticPipError:
+        raise
+    except Exception as exc:
+        raise InstallationError(
+            f"Error reading pylock file {pylock_path_or_url!r}: {exc}"
+        ) from exc
+
+    try:
+        lock = Pylock.from_dict(tomllib.loads(pylock_content))
+    except Exception as exc:
+        raise InstallationError(
+            f"Invalid pylock file {pylock_path_or_url!r}: {exc}"
+        ) from exc
+
+    try:
+        # TODO: for completeness, pylock.select should support preferring sdist
+        # over wheels to support --no-binary
+        yield from lock.select()
+    except Exception as exc:
+        raise InstallationError(
+            f"Cannot select requirements from pylock file {pylock_path_or_url!r}: {exc}"
+        ) from exc
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/retry.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/retry.py
new file mode 100644
index 0000000000000000000000000000000000000000..1392c8fbbc7054f2169c9d370ca94770821fe0e9
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/retry.py
@@ -0,0 +1,46 @@
+from __future__ import annotations
+
+import functools
+from collections.abc import Callable
+from time import perf_counter, sleep
+from typing import TYPE_CHECKING, TypeVar
+
+if TYPE_CHECKING:
+    from typing_extensions import ParamSpec
+
+    T = TypeVar("T")
+    P = ParamSpec("P")
+
+
+def retry(
+    wait: float, stop_after_delay: float
+) -> Callable[[Callable[P, T]], Callable[P, T]]:
+    """Decorator to automatically retry a function on error.
+
+    If the function raises, the function is recalled with the same arguments
+    until it returns or the time limit is reached. When the time limit is
+    surpassed, the last exception raised is reraised.
+
+    :param wait: The time to wait after an error before retrying, in seconds.
+    :param stop_after_delay: The time limit after which retries will cease,
+        in seconds.
+    """
+
+    def wrapper(func: Callable[P, T]) -> Callable[P, T]:
+
+        @functools.wraps(func)
+        def retry_wrapped(*args: P.args, **kwargs: P.kwargs) -> T:
+            # The performance counter is monotonic on all platforms we care
+            # about and has much better resolution than time.monotonic().
+            start_time = perf_counter()
+            while True:
+                try:
+                    return func(*args, **kwargs)
+                except Exception:
+                    if perf_counter() - start_time > stop_after_delay:
+                        raise
+                    sleep(wait)
+
+        return retry_wrapped
+
+    return wrapper
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/subprocess.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/subprocess.py
new file mode 100644
index 0000000000000000000000000000000000000000..06f45645d052b7578c8d71950d28c9c1af278d7e
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/subprocess.py
@@ -0,0 +1,249 @@
+from __future__ import annotations
+
+import logging
+import os
+import shlex
+import subprocess
+from collections.abc import Callable, Iterable, Mapping
+from typing import Any, Literal
+
+from pip._vendor.rich.markup import escape
+
+from pip._internal.cli.spinners import SpinnerInterface, open_spinner
+from pip._internal.exceptions import InstallationSubprocessError
+from pip._internal.utils.logging import VERBOSE, subprocess_logger
+from pip._internal.utils.misc import HiddenText
+
+CommandArgs = list[str | HiddenText]
+
+
+def make_command(*args: str | HiddenText | CommandArgs) -> CommandArgs:
+    """
+    Create a CommandArgs object.
+    """
+    command_args: CommandArgs = []
+    for arg in args:
+        # Check for list instead of CommandArgs since CommandArgs is
+        # only known during type-checking.
+        if isinstance(arg, list):
+            command_args.extend(arg)
+        else:
+            # Otherwise, arg is str or HiddenText.
+            command_args.append(arg)
+
+    return command_args
+
+
+def format_command_args(args: list[str] | CommandArgs) -> str:
+    """
+    Format command arguments for display.
+    """
+    # For HiddenText arguments, display the redacted form by calling str().
+    # Also, we don't apply str() to arguments that aren't HiddenText since
+    # this can trigger a UnicodeDecodeError in Python 2 if the argument
+    # has type unicode and includes a non-ascii character.  (The type
+    # checker doesn't ensure the annotations are correct in all cases.)
+    return " ".join(
+        shlex.quote(str(arg)) if isinstance(arg, HiddenText) else shlex.quote(arg)
+        for arg in args
+    )
+
+
+def reveal_command_args(args: list[str] | CommandArgs) -> list[str]:
+    """
+    Return the arguments in their raw, unredacted form.
+    """
+    return [arg.secret if isinstance(arg, HiddenText) else arg for arg in args]
+
+
+def call_subprocess(
+    cmd: list[str] | CommandArgs,
+    show_stdout: bool = False,
+    cwd: str | None = None,
+    on_returncode: Literal["raise", "warn", "ignore"] = "raise",
+    extra_ok_returncodes: Iterable[int] | None = None,
+    extra_environ: Mapping[str, Any] | None = None,
+    unset_environ: Iterable[str] | None = None,
+    spinner: SpinnerInterface | None = None,
+    log_failed_cmd: bool | None = True,
+    stdout_only: bool | None = False,
+    *,
+    command_desc: str,
+) -> str:
+    """
+    Args:
+      show_stdout: if true, use INFO to log the subprocess's stderr and
+        stdout streams.  Otherwise, use DEBUG.  Defaults to False.
+      extra_ok_returncodes: an iterable of integer return codes that are
+        acceptable, in addition to 0. Defaults to None, which means [].
+      unset_environ: an iterable of environment variable names to unset
+        prior to calling subprocess.Popen().
+      log_failed_cmd: if false, failed commands are not logged, only raised.
+      stdout_only: if true, return only stdout, else return both. When true,
+        logging of both stdout and stderr occurs when the subprocess has
+        terminated, else logging occurs as subprocess output is produced.
+    """
+    if extra_ok_returncodes is None:
+        extra_ok_returncodes = []
+    if unset_environ is None:
+        unset_environ = []
+    # Most places in pip use show_stdout=False. What this means is--
+    #
+    # - We connect the child's output (combined stderr and stdout) to a
+    #   single pipe, which we read.
+    # - We log this output to stderr at DEBUG level as it is received.
+    # - If DEBUG logging isn't enabled (e.g. if --verbose logging wasn't
+    #   requested), then we show a spinner so the user can still see the
+    #   subprocess is in progress.
+    # - If the subprocess exits with an error, we log the output to stderr
+    #   at ERROR level if it hasn't already been displayed to the console
+    #   (e.g. if --verbose logging wasn't enabled).  This way we don't log
+    #   the output to the console twice.
+    #
+    # If show_stdout=True, then the above is still done, but with DEBUG
+    # replaced by INFO.
+    if show_stdout:
+        # Then log the subprocess output at INFO level.
+        log_subprocess: Callable[..., None] = subprocess_logger.info
+        used_level = logging.INFO
+    else:
+        # Then log the subprocess output using VERBOSE.  This also ensures
+        # it will be logged to the log file (aka user_log), if enabled.
+        log_subprocess = subprocess_logger.verbose
+        used_level = VERBOSE
+
+    # Whether the subprocess will be visible in the console.
+    showing_subprocess = subprocess_logger.getEffectiveLevel() <= used_level
+
+    # Only use the spinner if we're not showing the subprocess output
+    # and we have a spinner.
+    use_spinner = not showing_subprocess and spinner is not None
+
+    log_subprocess("Running command %s", command_desc)
+    env = os.environ.copy()
+    if extra_environ:
+        env.update(extra_environ)
+    for name in unset_environ:
+        env.pop(name, None)
+    try:
+        proc = subprocess.Popen(
+            # Convert HiddenText objects to the underlying str.
+            reveal_command_args(cmd),
+            stdin=subprocess.PIPE,
+            stdout=subprocess.PIPE,
+            stderr=subprocess.STDOUT if not stdout_only else subprocess.PIPE,
+            cwd=cwd,
+            env=env,
+            encoding="locale",
+            errors="backslashreplace",
+        )
+    except Exception as exc:
+        if log_failed_cmd:
+            subprocess_logger.critical(
+                "Error %s while executing command %s",
+                exc,
+                command_desc,
+            )
+        raise
+    all_output = []
+    if not stdout_only:
+        assert proc.stdout
+        assert proc.stdin
+        proc.stdin.close()
+        # In this mode, stdout and stderr are in the same pipe.
+        while True:
+            line: str = proc.stdout.readline()
+            if not line:
+                break
+            line = line.rstrip()
+            all_output.append(line + "\n")
+
+            # Show the line immediately.
+            log_subprocess(line)
+            # Update the spinner.
+            if use_spinner:
+                assert spinner
+                spinner.spin()
+        try:
+            proc.wait()
+        finally:
+            if proc.stdout:
+                proc.stdout.close()
+        output = "".join(all_output)
+    else:
+        # In this mode, stdout and stderr are in different pipes.
+        # We must use communicate() which is the only safe way to read both.
+        out, err = proc.communicate()
+        # log line by line to preserve pip log indenting
+        for out_line in out.splitlines():
+            log_subprocess(out_line)
+        all_output.append(out)
+        for err_line in err.splitlines():
+            log_subprocess(err_line)
+        all_output.append(err)
+        output = out
+
+    proc_had_error = proc.returncode and proc.returncode not in extra_ok_returncodes
+    if use_spinner:
+        assert spinner
+        if proc_had_error:
+            spinner.finish("error")
+        else:
+            spinner.finish("done")
+    if proc_had_error:
+        if on_returncode == "raise":
+            error = InstallationSubprocessError(
+                command_description=command_desc,
+                exit_code=proc.returncode,
+                output_lines=all_output if not showing_subprocess else None,
+            )
+            if log_failed_cmd:
+                subprocess_logger.error("%s", error, extra={"rich": True})
+                subprocess_logger.verbose(
+                    "[bold magenta]full command[/]: [blue]%s[/]",
+                    escape(format_command_args(cmd)),
+                    extra={"markup": True},
+                )
+                subprocess_logger.verbose(
+                    "[bold magenta]cwd[/]: %s",
+                    escape(cwd or "[inherit]"),
+                    extra={"markup": True},
+                )
+
+            raise error
+        elif on_returncode == "warn":
+            subprocess_logger.warning(
+                'Command "%s" had error code %s in %s',
+                command_desc,
+                proc.returncode,
+                cwd,
+            )
+        elif on_returncode == "ignore":
+            pass
+        else:
+            raise ValueError(f"Invalid value: on_returncode={on_returncode!r}")
+    return output
+
+
+def runner_with_spinner_message(message: str) -> Callable[..., None]:
+    """Provide a subprocess_runner that shows a spinner message.
+
+    Intended for use with for BuildBackendHookCaller. Thus, the runner has
+    an API that matches what's expected by BuildBackendHookCaller.subprocess_runner.
+    """
+
+    def runner(
+        cmd: list[str],
+        cwd: str | None = None,
+        extra_environ: Mapping[str, Any] | None = None,
+    ) -> None:
+        with open_spinner(message) as spinner:
+            call_subprocess(
+                cmd,
+                command_desc=message,
+                cwd=cwd,
+                extra_environ=extra_environ,
+                spinner=spinner,
+            )
+
+    return runner
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/temp_dir.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/temp_dir.py
new file mode 100644
index 0000000000000000000000000000000000000000..336c618b8148841bb9b5e2790078038f5f8f8fb8
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/temp_dir.py
@@ -0,0 +1,293 @@
+from __future__ import annotations
+
+import errno
+import itertools
+import logging
+import os.path
+import tempfile
+import traceback
+from collections.abc import Callable, Generator
+from contextlib import ExitStack, contextmanager
+from pathlib import Path
+from typing import (
+    Any,
+    TypeVar,
+)
+
+from pip._internal.utils.misc import enum, rmtree
+
+logger = logging.getLogger(__name__)
+
+_T = TypeVar("_T", bound="TempDirectory")
+
+
+# Kinds of temporary directories. Only needed for ones that are
+# globally-managed.
+tempdir_kinds = enum(
+    BUILD_ENV="build-env",
+    EPHEM_WHEEL_CACHE="ephem-wheel-cache",
+    REQ_BUILD="req-build",
+)
+
+
+_tempdir_manager: ExitStack | None = None
+
+
+@contextmanager
+def global_tempdir_manager() -> Generator[None, None, None]:
+    global _tempdir_manager
+    with ExitStack() as stack:
+        old_tempdir_manager, _tempdir_manager = _tempdir_manager, stack
+        try:
+            yield
+        finally:
+            _tempdir_manager = old_tempdir_manager
+
+
+class TempDirectoryTypeRegistry:
+    """Manages temp directory behavior"""
+
+    def __init__(self) -> None:
+        self._should_delete: dict[str, bool] = {}
+
+    def set_delete(self, kind: str, value: bool) -> None:
+        """Indicate whether a TempDirectory of the given kind should be
+        auto-deleted.
+        """
+        self._should_delete[kind] = value
+
+    def get_delete(self, kind: str) -> bool:
+        """Get configured auto-delete flag for a given TempDirectory type,
+        default True.
+        """
+        return self._should_delete.get(kind, True)
+
+
+_tempdir_registry: TempDirectoryTypeRegistry | None = None
+
+
+@contextmanager
+def tempdir_registry() -> Generator[TempDirectoryTypeRegistry, None, None]:
+    """Provides a scoped global tempdir registry that can be used to dictate
+    whether directories should be deleted.
+    """
+    global _tempdir_registry
+    old_tempdir_registry = _tempdir_registry
+    _tempdir_registry = TempDirectoryTypeRegistry()
+    try:
+        yield _tempdir_registry
+    finally:
+        _tempdir_registry = old_tempdir_registry
+
+
+class _Default:
+    pass
+
+
+_default = _Default()
+
+
+class TempDirectory:
+    """Helper class that owns and cleans up a temporary directory.
+
+    This class can be used as a context manager or as an OO representation of a
+    temporary directory.
+
+    Attributes:
+        path
+            Location to the created temporary directory
+        delete
+            Whether the directory should be deleted when exiting
+            (when used as a contextmanager)
+
+    Methods:
+        cleanup()
+            Deletes the temporary directory
+
+    When used as a context manager, if the delete attribute is True, on
+    exiting the context the temporary directory is deleted.
+    """
+
+    def __init__(
+        self,
+        path: str | None = None,
+        delete: bool | None | _Default = _default,
+        kind: str = "temp",
+        globally_managed: bool = False,
+        ignore_cleanup_errors: bool = True,
+    ):
+        super().__init__()
+
+        if delete is _default:
+            if path is not None:
+                # If we were given an explicit directory, resolve delete option
+                # now.
+                delete = False
+            else:
+                # Otherwise, we wait until cleanup and see what
+                # tempdir_registry says.
+                delete = None
+
+        # The only time we specify path is in for editables where it
+        # is the value of the --src option.
+        if path is None:
+            path = self._create(kind)
+
+        self._path = path
+        self._deleted = False
+        self.delete = delete
+        self.kind = kind
+        self.ignore_cleanup_errors = ignore_cleanup_errors
+
+        if globally_managed:
+            assert _tempdir_manager is not None
+            _tempdir_manager.enter_context(self)
+
+    @property
+    def path(self) -> str:
+        assert not self._deleted, f"Attempted to access deleted path: {self._path}"
+        return self._path
+
+    def __repr__(self) -> str:
+        return f"<{self.__class__.__name__} {self.path!r}>"
+
+    def __enter__(self: _T) -> _T:
+        return self
+
+    def __exit__(self, exc: Any, value: Any, tb: Any) -> None:
+        if self.delete is not None:
+            delete = self.delete
+        elif _tempdir_registry:
+            delete = _tempdir_registry.get_delete(self.kind)
+        else:
+            delete = True
+
+        if delete:
+            self.cleanup()
+
+    def _create(self, kind: str) -> str:
+        """Create a temporary directory and store its path in self.path"""
+        # We realpath here because some systems have their default tmpdir
+        # symlinked to another directory.  This tends to confuse build
+        # scripts, so we canonicalize the path by traversing potential
+        # symlinks here.
+        path = os.path.realpath(tempfile.mkdtemp(prefix=f"pip-{kind}-"))
+        logger.debug("Created temporary directory: %s", path)
+        return path
+
+    def cleanup(self) -> None:
+        """Remove the temporary directory created and reset state"""
+        self._deleted = True
+        if not os.path.exists(self._path):
+            return
+
+        errors: list[BaseException] = []
+
+        def onerror(
+            func: Callable[..., Any],
+            path: Path,
+            exc_val: BaseException,
+        ) -> None:
+            """Log a warning for a `rmtree` error and continue"""
+            formatted_exc = "\n".join(
+                traceback.format_exception_only(type(exc_val), exc_val)
+            )
+            formatted_exc = formatted_exc.rstrip()  # remove trailing new line
+            if func in (os.unlink, os.remove, os.rmdir):
+                logger.debug(
+                    "Failed to remove a temporary file '%s' due to %s.\n",
+                    path,
+                    formatted_exc,
+                )
+            else:
+                logger.debug("%s failed with %s.", func.__qualname__, formatted_exc)
+            errors.append(exc_val)
+
+        if self.ignore_cleanup_errors:
+            try:
+                # first try with @retry; retrying to handle ephemeral errors
+                rmtree(self._path, ignore_errors=False)
+            except OSError:
+                # last pass ignore/log all errors
+                rmtree(self._path, onexc=onerror)
+            if errors:
+                logger.warning(
+                    "Failed to remove contents in a temporary directory '%s'.\n"
+                    "You can safely remove it manually.",
+                    self._path,
+                )
+        else:
+            rmtree(self._path)
+
+
+class AdjacentTempDirectory(TempDirectory):
+    """Helper class that creates a temporary directory adjacent to a real one.
+
+    Attributes:
+        original
+            The original directory to create a temp directory for.
+        path
+            After calling create() or entering, contains the full
+            path to the temporary directory.
+        delete
+            Whether the directory should be deleted when exiting
+            (when used as a contextmanager)
+
+    """
+
+    # The characters that may be used to name the temp directory
+    # We always prepend a ~ and then rotate through these until
+    # a usable name is found.
+    # pkg_resources raises a different error for .dist-info folder
+    # with leading '-' and invalid metadata
+    LEADING_CHARS = "-~.=%0123456789"
+
+    def __init__(self, original: str, delete: bool | None = None) -> None:
+        self.original = original.rstrip("/\\")
+        super().__init__(delete=delete)
+
+    @classmethod
+    def _generate_names(cls, name: str) -> Generator[str, None, None]:
+        """Generates a series of temporary names.
+
+        The algorithm replaces the leading characters in the name
+        with ones that are valid filesystem characters, but are not
+        valid package names (for both Python and pip definitions of
+        package).
+        """
+        for i in range(1, len(name)):
+            for candidate in itertools.combinations_with_replacement(
+                cls.LEADING_CHARS, i - 1
+            ):
+                new_name = "~" + "".join(candidate) + name[i:]
+                if new_name != name:
+                    yield new_name
+
+        # If we make it this far, we will have to make a longer name
+        for i in range(len(cls.LEADING_CHARS)):
+            for candidate in itertools.combinations_with_replacement(
+                cls.LEADING_CHARS, i
+            ):
+                new_name = "~" + "".join(candidate) + name
+                if new_name != name:
+                    yield new_name
+
+    def _create(self, kind: str) -> str:
+        root, name = os.path.split(self.original)
+        for candidate in self._generate_names(name):
+            path = os.path.join(root, candidate)
+            try:
+                os.mkdir(path)
+            except OSError as ex:
+                # Continue if the name exists already
+                if ex.errno != errno.EEXIST:
+                    raise
+            else:
+                path = os.path.realpath(path)
+                break
+        else:
+            # Final fallback on the default behavior.
+            path = os.path.realpath(tempfile.mkdtemp(prefix=f"pip-{kind}-"))
+
+        logger.debug("Created temporary directory: %s", path)
+        return path
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/unpacking.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/unpacking.py
new file mode 100644
index 0000000000000000000000000000000000000000..5771648bd6b1653d5147a0705a1965db5f274fc4
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/unpacking.py
@@ -0,0 +1,407 @@
+"""Utilities related archives."""
+
+from __future__ import annotations
+
+import logging
+import os
+import shutil
+import stat
+import sys
+import tarfile
+import zipfile
+from collections.abc import Iterable
+from zipfile import ZipInfo
+
+from pip._internal.exceptions import InstallationError
+from pip._internal.utils.filetypes import (
+    BZ2_EXTENSIONS,
+    TAR_EXTENSIONS,
+    XZ_EXTENSIONS,
+    ZIP_EXTENSIONS,
+)
+from pip._internal.utils.misc import ensure_dir
+
+logger = logging.getLogger(__name__)
+
+
+SUPPORTED_EXTENSIONS = ZIP_EXTENSIONS + TAR_EXTENSIONS
+
+try:
+    import bz2  # noqa
+
+    SUPPORTED_EXTENSIONS += BZ2_EXTENSIONS
+except ImportError:
+    logger.debug("bz2 module is not available")
+
+try:
+    # Only for Python 3.3+
+    import lzma  # noqa
+
+    SUPPORTED_EXTENSIONS += XZ_EXTENSIONS
+except ImportError:
+    logger.debug("lzma module is not available")
+
+
+def current_umask() -> int:
+    """Get the current umask which involves having to set it temporarily."""
+    mask = os.umask(0)
+    os.umask(mask)
+    return mask
+
+
+def split_leading_dir(path: str) -> list[str]:
+    path = path.lstrip("/").lstrip("\\")
+    if "/" in path and (
+        ("\\" in path and path.find("/") < path.find("\\")) or "\\" not in path
+    ):
+        return path.split("/", 1)
+    elif "\\" in path:
+        return path.split("\\", 1)
+    else:
+        return [path, ""]
+
+
+def has_leading_dir(paths: Iterable[str]) -> bool:
+    """Returns true if all the paths have the same leading path name
+    (i.e., everything is in one subdirectory in an archive)"""
+    common_prefix = None
+    for path in paths:
+        prefix, rest = split_leading_dir(path)
+        if not prefix:
+            return False
+        elif common_prefix is None:
+            common_prefix = prefix
+        elif prefix != common_prefix:
+            return False
+    return True
+
+
+def is_within_directory(
+    directory: str, target: str, *, resolve_symlinks: bool = False
+) -> bool:
+    """
+    Return true if the absolute path of target is within the directory
+    (including when target is equal to the directory).
+
+    When ``resolve_symlinks`` is true, resolve symlinks before comparing so
+    traversal through a symlink (e.g. "link/../file") is also caught.
+    """
+    if resolve_symlinks:
+        abs_directory = os.path.realpath(directory)
+        abs_target = os.path.realpath(target)
+    else:
+        abs_directory = os.path.abspath(directory)
+        abs_target = os.path.abspath(target)
+
+    return abs_target == abs_directory or abs_target.startswith(abs_directory + os.sep)
+
+
+def _get_default_mode_plus_executable() -> int:
+    return 0o777 & ~current_umask() | 0o111
+
+
+def set_extracted_file_to_default_mode_plus_executable(path: str) -> None:
+    """
+    Make file present at path have execute for user/group/world
+    (chmod +x) is no-op on windows per python docs
+    """
+    os.chmod(path, _get_default_mode_plus_executable())
+
+
+def zip_item_is_executable(info: ZipInfo) -> bool:
+    mode = info.external_attr >> 16
+    # if mode and regular file and any execute permissions for
+    # user/group/world?
+    return bool(mode and stat.S_ISREG(mode) and mode & 0o111)
+
+
+def unzip_file(filename: str, location: str, flatten: bool = True) -> None:
+    """
+    Unzip the file (with path `filename`) to the destination `location`.  All
+    files are written based on system defaults and umask (i.e. permissions are
+    not preserved), except that regular file members with any execute
+    permissions (user, group, or world) have "chmod +x" applied after being
+    written. Note that for windows, any execute changes using os.chmod are
+    no-ops per the python docs.
+    """
+    ensure_dir(location)
+    zipfp = open(filename, "rb")
+    try:
+        zip = zipfile.ZipFile(zipfp, allowZip64=True)
+        leading = has_leading_dir(zip.namelist()) and flatten
+        for info in zip.infolist():
+            name = info.filename
+            fn = name
+            if leading:
+                fn = split_leading_dir(name)[1]
+            fn = os.path.join(location, fn)
+            dir = os.path.dirname(fn)
+            if not is_within_directory(location, fn):
+                message = (
+                    "The zip file ({}) has a file ({}) trying to install "
+                    "outside target directory ({})"
+                )
+                raise InstallationError(message.format(filename, fn, location))
+            if fn.endswith(("/", "\\")):
+                # A directory
+                ensure_dir(fn)
+            else:
+                ensure_dir(dir)
+                # Don't use read() to avoid allocating an arbitrarily large
+                # chunk of memory for the file's content
+                fp = zip.open(name)
+                try:
+                    with open(fn, "wb") as destfp:
+                        shutil.copyfileobj(fp, destfp)
+                finally:
+                    fp.close()
+                    if zip_item_is_executable(info):
+                        set_extracted_file_to_default_mode_plus_executable(fn)
+    finally:
+        zipfp.close()
+
+
+def untar_file(filename: str, location: str) -> None:
+    """
+    Untar the file (with path `filename`) to the destination `location`.
+    All files are written based on system defaults and umask (i.e. permissions
+    are not preserved), except that regular file members with any execute
+    permissions (user, group, or world) have "chmod +x" applied on top of the
+    default.  Note that for windows, any execute changes using os.chmod are
+    no-ops per the python docs.
+    """
+    ensure_dir(location)
+    if filename.lower().endswith(".gz") or filename.lower().endswith(".tgz"):
+        mode = "r:gz"
+    elif filename.lower().endswith(BZ2_EXTENSIONS):
+        mode = "r:bz2"
+    elif filename.lower().endswith(XZ_EXTENSIONS):
+        mode = "r:xz"
+    elif filename.lower().endswith(".tar"):
+        mode = "r"
+    else:
+        logger.warning(
+            "Cannot determine compression type for file %s",
+            filename,
+        )
+        mode = "r:*"
+
+    tar = tarfile.open(filename, mode, encoding="utf-8")  # type: ignore
+    try:
+        leading = has_leading_dir([member.name for member in tar.getmembers()])
+
+        # PEP 706 added `tarfile.data_filter`, and made some other changes to
+        # Python's tarfile module (see below). The features were backported to
+        # security releases.
+        try:
+            data_filter = tarfile.data_filter
+        except AttributeError:
+            _untar_without_filter(filename, location, tar, leading)
+        else:
+            default_mode_plus_executable = _get_default_mode_plus_executable()
+
+            if leading:
+                # Strip the leading directory from all files in the archive,
+                # including hardlink targets (which are relative to the
+                # unpack location).
+                for member in tar.getmembers():
+                    name_lead, name_rest = split_leading_dir(member.name)
+                    member.name = name_rest
+                    if member.islnk():
+                        lnk_lead, lnk_rest = split_leading_dir(member.linkname)
+                        if lnk_lead == name_lead:
+                            member.linkname = lnk_rest
+
+            def pip_filter(member: tarfile.TarInfo, path: str) -> tarfile.TarInfo:
+                orig_mode = member.mode
+                try:
+                    try:
+                        member = data_filter(member, location)
+                    except tarfile.LinkOutsideDestinationError:
+                        if sys.version_info[:3] in {
+                            (3, 9, 17),
+                            (3, 10, 12),
+                            (3, 11, 4),
+                        }:
+                            # The tarfile filter in specific Python versions
+                            # raises LinkOutsideDestinationError on valid input
+                            # (https://github.com/python/cpython/issues/107845)
+                            # Ignore the error there, but do use the
+                            # more lax `tar_filter`
+                            member = tarfile.tar_filter(member, location)
+                        else:
+                            raise
+                except tarfile.TarError as exc:
+                    message = "Invalid member in the tar file {}: {}"
+                    # Filter error messages mention the member name.
+                    # No need to add it here.
+                    raise InstallationError(
+                        message.format(
+                            filename,
+                            exc,
+                        )
+                    )
+                if member.isfile() and orig_mode & 0o111:
+                    member.mode = default_mode_plus_executable
+                else:
+                    # See PEP 706 note above.
+                    # The PEP changed this from `int` to `Optional[int]`,
+                    # where None means "use the default". Mypy doesn't
+                    # know this yet.
+                    member.mode = None  # type: ignore [assignment]
+                return member
+
+            tar.extractall(location, filter=pip_filter)
+
+    finally:
+        tar.close()
+
+
+def is_symlink_target_in_tar(tar: tarfile.TarFile, tarinfo: tarfile.TarInfo) -> bool:
+    """Check if the file pointed to by the symbolic link is in the tar archive"""
+    linkname = os.path.join(os.path.dirname(tarinfo.name), tarinfo.linkname)
+
+    linkname = os.path.normpath(linkname)
+    linkname = linkname.replace("\\", "/")
+
+    try:
+        tar.getmember(linkname)
+        return True
+    except KeyError:
+        return False
+
+
+def _untar_without_filter(
+    filename: str,
+    location: str,
+    tar: tarfile.TarFile,
+    leading: bool,
+) -> None:
+    """Fallback for Python without tarfile.data_filter"""
+    # NOTE: This function can be removed once pip requires CPython ≥ 3.12.​
+    # PEP 706 added tarfile.data_filter, made tarfile extraction operations more secure.
+    # This feature is fully supported from CPython 3.12 onward.
+    for member in tar.getmembers():
+        fn = member.name
+        if leading:
+            fn = split_leading_dir(fn)[1]
+        path = os.path.join(location, fn)
+
+        # The plain check rejects textual ".." escapes; resolving symlinks also
+        # catches a later member redirected outside by an earlier member's
+        # symlink (e.g. "link/../file").
+        if not is_within_directory(location, path) or not is_within_directory(
+            location, path, resolve_symlinks=True
+        ):
+            message = (
+                "The tar file ({}) has a file ({}) trying to install "
+                "outside target directory ({})"
+            )
+            raise InstallationError(message.format(filename, path, location))
+        if member.isdir():
+            ensure_dir(path)
+        elif member.issym():
+            # Reject symlinks resolving outside the destination, so a later
+            # member cannot be written through them.
+            target = os.path.join(os.path.dirname(path), member.linkname)
+            if not is_within_directory(location, target, resolve_symlinks=True):
+                message = (
+                    "The tar file ({}) has a file ({}) trying to install "
+                    "outside target directory ({})"
+                )
+                raise InstallationError(
+                    message.format(filename, member.name, member.linkname)
+                )
+            if not is_symlink_target_in_tar(tar, member):
+                message = (
+                    "The tar file ({}) has a file ({}) trying to install "
+                    "outside target directory ({})"
+                )
+                raise InstallationError(
+                    message.format(filename, member.name, member.linkname)
+                )
+            try:
+                tar._extract_member(member, path)
+            except Exception as exc:
+                # Some corrupt tar files seem to produce this
+                # (specifically bad symlinks)
+                logger.warning(
+                    "In the tar file %s the member %s is invalid: %s",
+                    filename,
+                    member.name,
+                    exc,
+                )
+                continue
+        else:
+            try:
+                fp = tar.extractfile(member)
+            except (KeyError, AttributeError) as exc:
+                # Some corrupt tar files seem to produce this
+                # (specifically bad symlinks)
+                logger.warning(
+                    "In the tar file %s the member %s is invalid: %s",
+                    filename,
+                    member.name,
+                    exc,
+                )
+                continue
+            ensure_dir(os.path.dirname(path))
+            assert fp is not None
+            with open(path, "wb") as destfp:
+                shutil.copyfileobj(fp, destfp)
+            fp.close()
+            # Update the timestamp (useful for cython compiled files)
+            tar.utime(member, path)
+            # member have any execute permissions for user/group/world?
+            if member.mode & 0o111:
+                set_extracted_file_to_default_mode_plus_executable(path)
+
+
+def unpack_file(
+    filename: str,
+    location: str,
+    content_type: str | None = None,
+) -> None:
+    """Unpack ``filename`` into ``location``.
+
+    Archive format is chosen in order of decreasing reliability:
+    ``content_type``, then filename extension, then magic signature
+    (unambiguous matches only).
+    """
+    filename = os.path.realpath(filename)
+    zip_flatten = not filename.endswith(".whl")
+
+    def _unzip() -> None:
+        unzip_file(filename, location, flatten=zip_flatten)
+
+    def _untar() -> None:
+        untar_file(filename, location)
+
+    if content_type == "application/zip":
+        return _unzip()
+    if content_type == "application/x-gzip":
+        return _untar()
+
+    if filename.lower().endswith(ZIP_EXTENSIONS):
+        return _unzip()
+    if filename.lower().endswith(TAR_EXTENSIONS + BZ2_EXTENSIONS + XZ_EXTENSIONS):
+        return _untar()
+
+    # avoid ambiguous case where both signature checks return True
+    is_zipfile = zipfile.is_zipfile(filename)
+    is_tarfile = tarfile.is_tarfile(filename)
+    if is_zipfile and not is_tarfile:
+        return _unzip()
+    if is_tarfile and not is_zipfile:
+        return _untar()
+    if is_zipfile and is_tarfile:
+        logger.error("Ambiguous file signature in %s.", filename)
+
+    logger.critical(
+        "Cannot unpack file %s (downloaded from %s, content-type: %s); "
+        "cannot detect archive format",
+        filename,
+        location,
+        content_type,
+    )
+    raise InstallationError(f"Cannot determine archive format of {location}")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/urls.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/urls.py
new file mode 100644
index 0000000000000000000000000000000000000000..2df515d4ae4bb5a956d92ce78f45ec88439f7d6a
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/urls.py
@@ -0,0 +1,58 @@
+import os
+import string
+import urllib.parse  # noqa: F401
+
+from .compat import WINDOWS
+
+
+def path_to_url(path: str) -> str:
+    """
+    Convert a path to a file: URL.  The path will be made absolute and have
+    quoted path parts.
+    """
+    import urllib.request
+
+    path = os.path.normpath(os.path.abspath(path))
+    url = urllib.parse.urljoin("file://", urllib.request.pathname2url(path))
+    return url
+
+
+def url_to_path(url: str) -> str:
+    """
+    Convert a file: URL to a path.
+    """
+    import urllib.request
+
+    assert url.startswith(
+        "file:"
+    ), f"You can only turn file: urls into filenames (not {url!r})"
+
+    _, netloc, path, _, _ = urllib.parse.urlsplit(url)
+
+    if not netloc or netloc == "localhost":
+        # According to RFC 8089, same as empty authority.
+        netloc = ""
+    elif WINDOWS:
+        # If we have a UNC path, prepend UNC share notation.
+        netloc = "\\\\" + netloc
+    else:
+        raise ValueError(
+            f"non-local file URIs are not supported on this platform: {url!r}"
+        )
+
+    path = urllib.request.url2pathname(netloc + path)
+
+    # On Windows, urlsplit parses the path as something like "/C:/Users/foo".
+    # This creates issues for path-related functions like io.open(), so we try
+    # to detect and strip the leading slash.
+    if (
+        WINDOWS
+        and not netloc  # Not UNC.
+        and len(path) >= 3
+        and path[0] == "/"  # Leading slash to strip.
+        and path[1] in string.ascii_letters  # Drive letter.
+        and path[2:4] in (":", ":/")  # Colon + end of string, or colon + absolute path.
+    ):
+        path = path[1:]
+
+    return path
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/virtualenv.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/virtualenv.py
new file mode 100644
index 0000000000000000000000000000000000000000..fa94813ae7ff9e828fd8148958f0765b81291c23
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/virtualenv.py
@@ -0,0 +1,71 @@
+from __future__ import annotations
+
+import logging
+import os
+import re
+import sys
+
+logger = logging.getLogger(__name__)
+_INCLUDE_SYSTEM_SITE_PACKAGES_REGEX = re.compile(
+    r"include-system-site-packages\s*=\s*(?Ptrue|false)"
+)
+
+
+def running_under_virtualenv() -> bool:
+    """Checks if sys.base_prefix and sys.prefix match.
+
+    This handles PEP 405 compliant virtual environments.
+    """
+    return sys.prefix != getattr(sys, "base_prefix", sys.prefix)
+
+
+def _get_pyvenv_cfg_lines() -> list[str] | None:
+    """Reads {sys.prefix}/pyvenv.cfg and returns its contents as list of lines
+
+    Returns None, if it could not read/access the file.
+    """
+    pyvenv_cfg_file = os.path.join(sys.prefix, "pyvenv.cfg")
+    try:
+        # Although PEP 405 does not specify, the built-in venv module always
+        # writes with UTF-8. (pypa/pip#8717)
+        with open(pyvenv_cfg_file, encoding="utf-8") as f:
+            return f.read().splitlines()  # avoids trailing newlines
+    except OSError:
+        return None
+
+
+def _no_global_under_venv() -> bool:
+    """Check `{sys.prefix}/pyvenv.cfg` for system site-packages inclusion
+
+    PEP 405 specifies that when system site-packages are not supposed to be
+    visible from a virtual environment, `pyvenv.cfg` must contain the following
+    line:
+
+        include-system-site-packages = false
+
+    Additionally, log a warning if accessing the file fails.
+    """
+    cfg_lines = _get_pyvenv_cfg_lines()
+    if cfg_lines is None:
+        # We're not in a "sane" venv, so assume there is no system
+        # site-packages access (since that's PEP 405's default state).
+        logger.warning(
+            "Could not access 'pyvenv.cfg' despite a virtual environment "
+            "being active. Assuming global site-packages is not accessible "
+            "in this environment."
+        )
+        return True
+
+    for line in cfg_lines:
+        match = _INCLUDE_SYSTEM_SITE_PACKAGES_REGEX.match(line)
+        if match is not None and match.group("value") == "false":
+            return True
+    return False
+
+
+def virtualenv_no_global() -> bool:
+    """Returns a boolean, whether running in venv with no system site-packages."""
+    if running_under_virtualenv():
+        return _no_global_under_venv()
+
+    return False
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/wheel.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/wheel.py
new file mode 100644
index 0000000000000000000000000000000000000000..789e73629afb7f0984a2fe04f7b98d5395e48a11
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/utils/wheel.py
@@ -0,0 +1,132 @@
+"""Support functions for working with wheel files."""
+
+import logging
+from email.message import Message
+from email.parser import Parser
+from zipfile import BadZipFile, ZipFile
+
+from pip._vendor.packaging.utils import canonicalize_name
+
+from pip._internal.exceptions import UnsupportedWheel
+
+VERSION_COMPATIBLE = (1, 0)
+
+
+logger = logging.getLogger(__name__)
+
+
+def parse_wheel(wheel_zip: ZipFile, name: str) -> tuple[str, Message]:
+    """Extract information from the provided wheel, ensuring it meets basic
+    standards.
+
+    Returns the name of the .dist-info directory and the parsed WHEEL metadata.
+    """
+    try:
+        info_dir = wheel_dist_info_dir(wheel_zip, name)
+        metadata = wheel_metadata(wheel_zip, info_dir)
+        version = wheel_version(metadata)
+    except UnsupportedWheel as e:
+        raise UnsupportedWheel(f"{name} has an invalid wheel, {e}")
+
+    check_compatibility(version, name)
+
+    return info_dir, metadata
+
+
+def wheel_dist_info_dir(source: ZipFile, name: str) -> str:
+    """Returns the name of the contained .dist-info directory.
+
+    Raises AssertionError or UnsupportedWheel if not found, >1 found, or
+    it doesn't match the provided name.
+    """
+    # Zip file path separators must be /
+    subdirs = {p.split("/", 1)[0] for p in source.namelist()}
+
+    info_dirs = [s for s in subdirs if s.endswith(".dist-info")]
+
+    if not info_dirs:
+        raise UnsupportedWheel(".dist-info directory not found")
+
+    if len(info_dirs) > 1:
+        raise UnsupportedWheel(
+            "multiple .dist-info directories found: {}".format(", ".join(info_dirs))
+        )
+
+    info_dir = info_dirs[0]
+
+    info_dir_name = canonicalize_name(info_dir)
+    canonical_name = canonicalize_name(name)
+    if not info_dir_name.startswith(canonical_name):
+        raise UnsupportedWheel(
+            f".dist-info directory {info_dir!r} does not start with {canonical_name!r}"
+        )
+
+    return info_dir
+
+
+def read_wheel_metadata_file(source: ZipFile, path: str) -> bytes:
+    try:
+        return source.read(path)
+        # BadZipFile for general corruption, KeyError for missing entry,
+        # and RuntimeError for password-protected files
+    except (BadZipFile, KeyError, RuntimeError) as e:
+        raise UnsupportedWheel(f"could not read {path!r} file: {e!r}")
+
+
+def wheel_metadata(source: ZipFile, dist_info_dir: str) -> Message:
+    """Return the WHEEL metadata of an extracted wheel, if possible.
+    Otherwise, raise UnsupportedWheel.
+    """
+    path = f"{dist_info_dir}/WHEEL"
+    # Zip file path separators must be /
+    wheel_contents = read_wheel_metadata_file(source, path)
+
+    try:
+        wheel_text = wheel_contents.decode()
+    except UnicodeDecodeError as e:
+        raise UnsupportedWheel(f"error decoding {path!r}: {e!r}")
+
+    # FeedParser (used by Parser) does not raise any exceptions. The returned
+    # message may have .defects populated, but for backwards-compatibility we
+    # currently ignore them.
+    return Parser().parsestr(wheel_text)
+
+
+def wheel_version(wheel_data: Message) -> tuple[int, ...]:
+    """Given WHEEL metadata, return the parsed Wheel-Version.
+    Otherwise, raise UnsupportedWheel.
+    """
+    version_text = wheel_data["Wheel-Version"]
+    if version_text is None:
+        raise UnsupportedWheel("WHEEL is missing Wheel-Version")
+
+    version = version_text.strip()
+
+    try:
+        return tuple(map(int, version.split(".")))
+    except ValueError:
+        raise UnsupportedWheel(f"invalid Wheel-Version: {version!r}")
+
+
+def check_compatibility(version: tuple[int, ...], name: str) -> None:
+    """Raises errors or warns if called with an incompatible Wheel-Version.
+
+    pip should refuse to install a Wheel-Version that's a major series
+    ahead of what it's compatible with (e.g 2.0 > 1.1); and warn when
+    installing a version only minor version ahead (e.g 1.2 > 1.1).
+
+    version: a 2-tuple representing a Wheel-Version (Major, Minor)
+    name: name of wheel or package to raise exception about
+
+    :raises UnsupportedWheel: when an incompatible Wheel-Version is given
+    """
+    if version[0] > VERSION_COMPATIBLE[0]:
+        raise UnsupportedWheel(
+            "{}'s Wheel-Version ({}) is not compatible with this version "
+            "of pip".format(name, ".".join(map(str, version)))
+        )
+    elif version > VERSION_COMPATIBLE:
+        logger.warning(
+            "Installing from a newer Wheel-Version (%s)",
+            ".".join(map(str, version)),
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..b6beddbe6d24d2949dc89ed07abfebd59d8b63b9
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/__init__.py
@@ -0,0 +1,15 @@
+# Expose a limited set of classes and functions so callers outside of
+# the vcs package don't need to import deeper than `pip._internal.vcs`.
+# (The test directory may still need to import from a vcs sub-package.)
+# Import all vcs modules to register each VCS in the VcsSupport object.
+import pip._internal.vcs.bazaar
+import pip._internal.vcs.git
+import pip._internal.vcs.mercurial
+import pip._internal.vcs.subversion  # noqa: F401
+from pip._internal.vcs.versioncontrol import (  # noqa: F401
+    RemoteNotFoundError,
+    RemoteNotValidError,
+    is_url,
+    make_vcs_requirement_url,
+    vcs,
+)
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/bazaar.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/bazaar.py
new file mode 100644
index 0000000000000000000000000000000000000000..3a8a21e62518768e3476452c554a8f9d2546f43c
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/bazaar.py
@@ -0,0 +1,130 @@
+from __future__ import annotations
+
+import logging
+
+from pip._internal.utils.misc import HiddenText, display_path
+from pip._internal.utils.subprocess import make_command
+from pip._internal.utils.urls import path_to_url
+from pip._internal.vcs.versioncontrol import (
+    AuthInfo,
+    RemoteNotFoundError,
+    RevOptions,
+    VersionControl,
+    vcs,
+)
+
+logger = logging.getLogger(__name__)
+
+
+class Bazaar(VersionControl):
+    name = "bzr"
+    dirname = ".bzr"
+    repo_name = "branch"
+    schemes = (
+        "bzr+http",
+        "bzr+https",
+        "bzr+ssh",
+        "bzr+sftp",
+        "bzr+ftp",
+        "bzr+lp",
+        "bzr+file",
+    )
+
+    @staticmethod
+    def get_base_rev_args(rev: str) -> list[str]:
+        return ["-r", rev]
+
+    def fetch_new(
+        self, dest: str, url: HiddenText, rev_options: RevOptions, verbosity: int
+    ) -> None:
+        rev_display = rev_options.to_display()
+        logger.info(
+            "Checking out %s%s to %s",
+            url,
+            rev_display,
+            display_path(dest),
+        )
+        if verbosity <= 0:
+            flags = ["--quiet"]
+        elif verbosity == 1:
+            flags = []
+        else:
+            flags = [f"-{'v'*verbosity}"]
+        cmd_args = make_command(
+            "checkout", "--lightweight", *flags, rev_options.to_args(), url, dest
+        )
+        self.run_command(cmd_args)
+
+    def switch(
+        self,
+        dest: str,
+        url: HiddenText,
+        rev_options: RevOptions,
+        verbosity: int = 0,
+    ) -> None:
+        self.run_command(make_command("switch", url), cwd=dest)
+
+    def update(
+        self,
+        dest: str,
+        url: HiddenText,
+        rev_options: RevOptions,
+        verbosity: int = 0,
+    ) -> None:
+        flags = []
+
+        if verbosity <= 0:
+            flags.append("-q")
+
+        output = self.run_command(
+            make_command("info"), show_stdout=False, stdout_only=True, cwd=dest
+        )
+        if output.startswith("Standalone "):
+            # Older versions of pip used to create standalone branches.
+            # Convert the standalone branch to a checkout by calling "bzr bind".
+            cmd_args = make_command("bind", *flags, url)
+            self.run_command(cmd_args, cwd=dest)
+
+        cmd_args = make_command("update", *flags, rev_options.to_args())
+        self.run_command(cmd_args, cwd=dest)
+
+    @classmethod
+    def get_url_rev_and_auth(cls, url: str) -> tuple[str, str | None, AuthInfo]:
+        # hotfix the URL scheme after removing bzr+ from bzr+ssh:// re-add it
+        url, rev, user_pass = super().get_url_rev_and_auth(url)
+        if url.startswith("ssh://"):
+            url = "bzr+" + url
+        return url, rev, user_pass
+
+    @classmethod
+    def get_remote_url(cls, location: str) -> str:
+        urls = cls.run_command(
+            ["info"], show_stdout=False, stdout_only=True, cwd=location
+        )
+        for line in urls.splitlines():
+            line = line.strip()
+            for x in ("checkout of branch: ", "parent branch: "):
+                if line.startswith(x):
+                    repo = line.split(x)[1]
+                    if cls._is_local_repository(repo):
+                        return path_to_url(repo)
+                    return repo
+        raise RemoteNotFoundError
+
+    @classmethod
+    def get_revision(cls, location: str) -> str:
+        revision = cls.run_command(
+            ["revno"],
+            show_stdout=False,
+            stdout_only=True,
+            cwd=location,
+        )
+        return revision.splitlines()[-1]
+
+    @classmethod
+    def is_commit_id_equal(cls, dest: str, name: str | None) -> bool:
+        """Always assume the versions don't match"""
+        return False
+
+
+vcs.register(Bazaar)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/git.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/git.py
new file mode 100644
index 0000000000000000000000000000000000000000..5cc393f92bf177b84bf3953713360d3c533a571f
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/git.py
@@ -0,0 +1,574 @@
+from __future__ import annotations
+
+import logging
+import os.path
+import pathlib
+import re
+import urllib.parse
+from dataclasses import replace
+from typing import Any
+
+from pip._internal.exceptions import BadCommand, InstallationError
+from pip._internal.utils.misc import HiddenText, display_path, hide_url, strtobool
+from pip._internal.utils.subprocess import make_command
+from pip._internal.vcs.versioncontrol import (
+    AuthInfo,
+    RemoteNotFoundError,
+    RemoteNotValidError,
+    RevOptions,
+    VersionControl,
+    find_path_to_project_root_from_repo_root,
+    vcs,
+)
+
+urlsplit = urllib.parse.urlsplit
+urlunsplit = urllib.parse.urlunsplit
+
+
+logger = logging.getLogger(__name__)
+
+
+GIT_VERSION_REGEX = re.compile(
+    r"^git version "  # Prefix.
+    r"(\d+)"  # Major.
+    r"\.(\d+)"  # Dot, minor.
+    r"(?:\.(\d+))?"  # Optional dot, patch.
+    r".*$"  # Suffix, including any pre- and post-release segments we don't care about.
+)
+
+HASH_REGEX = re.compile("^[a-fA-F0-9]{40}$")
+
+# SCP (Secure copy protocol) shorthand. e.g. 'git@example.com:foo/bar.git'
+SCP_REGEX = re.compile(
+    r"""^
+    # Optional user, e.g. 'git@'
+    (\w+@)?
+    # Server, e.g. 'github.com'.
+    ([^/:]+):
+    # The server-side path. e.g. 'user/project.git'. Must start with an
+    # alphanumeric character so as not to be confusable with a Windows paths
+    # like 'C:/foo/bar' or 'C:\foo\bar'.
+    (\w[^:]*)
+    $""",
+    re.VERBOSE,
+)
+
+
+def looks_like_hash(sha: str) -> bool:
+    return bool(HASH_REGEX.match(sha))
+
+
+class Git(VersionControl):
+    name = "git"
+    dirname = ".git"
+    repo_name = "clone"
+    schemes = (
+        "git+http",
+        "git+https",
+        "git+ssh",
+        "git+git",
+        "git+file",
+    )
+    # Prevent the user's environment variables from interfering with pip:
+    # https://github.com/pypa/pip/issues/1130
+    unset_environ = ("GIT_DIR", "GIT_WORK_TREE")
+    default_arg_rev = "HEAD"
+
+    @staticmethod
+    def get_base_rev_args(rev: str) -> list[str]:
+        return [rev]
+
+    @classmethod
+    def run_command(cls, *args: Any, **kwargs: Any) -> str:
+        if os.environ.get("PIP_NO_INPUT"):
+            extra_environ = kwargs.get("extra_environ", {})
+            extra_environ["GIT_TERMINAL_PROMPT"] = "0"
+            extra_environ["GIT_SSH_COMMAND"] = "ssh -oBatchMode=yes"
+            kwargs["extra_environ"] = extra_environ
+        return super().run_command(*args, **kwargs)
+
+    def is_immutable_rev_checkout(self, url: str, dest: str) -> bool:
+        _, rev_options = self.get_url_rev_options(hide_url(url))
+        if not rev_options.rev:
+            return False
+        if not self.is_commit_id_equal(dest, rev_options.rev):
+            # the current commit is different from rev,
+            # which means rev was something else than a commit hash
+            return False
+        # return False in the rare case rev is both a commit hash
+        # and a tag or a branch; we don't want to cache in that case
+        # because that branch/tag could point to something else in the future
+        is_tag_or_branch = bool(self.get_revision_sha(dest, rev_options.rev)[0])
+        return not is_tag_or_branch
+
+    def get_git_version(self) -> tuple[int, ...]:
+        version = self.run_command(
+            ["version"],
+            command_desc="git version",
+            show_stdout=False,
+            stdout_only=True,
+        )
+        match = GIT_VERSION_REGEX.match(version)
+        if not match:
+            logger.warning("Can't parse git version: %s", version)
+            return ()
+        return (int(match.group(1)), int(match.group(2)))
+
+    @classmethod
+    def get_current_branch(cls, location: str) -> str | None:
+        """
+        Return the current branch, or None if HEAD isn't at a branch
+        (e.g. detached HEAD).
+        """
+        # git-symbolic-ref exits with empty stdout if "HEAD" is a detached
+        # HEAD rather than a symbolic ref.  In addition, the -q causes the
+        # command to exit with status code 1 instead of 128 in this case
+        # and to suppress the message to stderr.
+        args = ["symbolic-ref", "-q", "HEAD"]
+        output = cls.run_command(
+            args,
+            extra_ok_returncodes=(1,),
+            show_stdout=False,
+            stdout_only=True,
+            cwd=location,
+        )
+        ref = output.strip()
+
+        if ref.startswith("refs/heads/"):
+            return ref[len("refs/heads/") :]
+
+        return None
+
+    @classmethod
+    def get_revision_sha(cls, dest: str, rev: str) -> tuple[str | None, bool]:
+        """
+        Return (sha_or_none, is_branch), where sha_or_none is a commit hash
+        if the revision names a remote branch or tag, otherwise None.
+
+        Args:
+          dest: the repository directory.
+          rev: the revision name.
+        """
+        # Pass rev to pre-filter the list.
+        output = cls.run_command(
+            ["show-ref", rev],
+            cwd=dest,
+            show_stdout=False,
+            stdout_only=True,
+            on_returncode="ignore",
+        )
+        refs = {}
+        # NOTE: We do not use splitlines here since that would split on other
+        #       unicode separators, which can be maliciously used to install a
+        #       different revision.
+        for line in output.strip().split("\n"):
+            line = line.rstrip("\r")
+            if not line:
+                continue
+            try:
+                ref_sha, ref_name = line.split(" ", maxsplit=2)
+            except ValueError:
+                # Include the offending line to simplify troubleshooting if
+                # this error ever occurs.
+                raise ValueError(f"unexpected show-ref line: {line!r}")
+
+            refs[ref_name] = ref_sha
+
+        branch_ref = f"refs/remotes/origin/{rev}"
+        tag_ref = f"refs/tags/{rev}"
+
+        sha = refs.get(branch_ref)
+        if sha is not None:
+            return (sha, True)
+
+        sha = refs.get(tag_ref)
+
+        return (sha, False)
+
+    @classmethod
+    def _should_fetch(cls, dest: str, rev: str) -> bool:
+        """
+        Return true if rev is a ref or is a commit that we don't have locally.
+
+        Branches and tags are not considered in this method because they are
+        assumed to be always available locally (which is a normal outcome of
+        ``git clone`` and ``git fetch --tags``).
+        """
+        if rev.startswith("refs/"):
+            # Always fetch remote refs.
+            return True
+
+        if not looks_like_hash(rev):
+            # Git fetch would fail with abbreviated commits.
+            return False
+
+        if cls.has_commit(dest, rev):
+            # Don't fetch if we have the commit locally.
+            return False
+
+        return True
+
+    @classmethod
+    def resolve_revision(
+        cls, dest: str, url: HiddenText, rev_options: RevOptions
+    ) -> RevOptions:
+        """
+        Resolve a revision to a new RevOptions object with the SHA1 of the
+        branch, tag, or ref if found.
+
+        Args:
+          rev_options: a RevOptions object.
+        """
+        rev = rev_options.arg_rev
+        # The arg_rev property's implementation for Git ensures that the
+        # rev return value is always non-None.
+        assert rev is not None
+
+        sha, is_branch = cls.get_revision_sha(dest, rev)
+
+        if sha is not None:
+            rev_options = rev_options.make_new(sha)
+            rev_options = replace(rev_options, branch_name=(rev if is_branch else None))
+
+            return rev_options
+
+        # Do not show a warning for the common case of something that has
+        # the form of a Git commit hash.
+        if not looks_like_hash(rev):
+            logger.info(
+                "Did not find branch or tag '%s', assuming revision or ref.",
+                rev,
+            )
+
+        if not cls._should_fetch(dest, rev):
+            return rev_options
+
+        # fetch the requested revision
+        cls.run_command(
+            make_command("fetch", "-q", url, rev_options.to_args()),
+            cwd=dest,
+        )
+        # Change the revision to the SHA of the ref we fetched
+        sha = cls.get_revision(dest, rev="FETCH_HEAD")
+        rev_options = rev_options.make_new(sha)
+
+        return rev_options
+
+    @classmethod
+    def is_commit_id_equal(cls, dest: str, name: str | None) -> bool:
+        """
+        Return whether the current commit hash equals the given name.
+
+        Args:
+          dest: the repository directory.
+          name: a string name.
+        """
+        if not name:
+            # Then avoid an unnecessary subprocess call.
+            return False
+
+        return cls.get_revision(dest) == name
+
+    def fetch_new(
+        self, dest: str, url: HiddenText, rev_options: RevOptions, verbosity: int
+    ) -> None:
+        rev_display = rev_options.to_display()
+        logger.info("Cloning %s%s to %s", url, rev_display, display_path(dest))
+        if verbosity <= 0:
+            flags: tuple[str, ...] = ("--quiet",)
+        elif verbosity == 1:
+            flags = ()
+        else:
+            flags = ("--verbose", "--progress")
+        if self.get_git_version() >= (2, 17) and not strtobool(
+            os.environ.get("PIP_NO_PARTIAL_CLONE_FOR_BROKEN_GIT_SERVER", "no")
+        ):
+            # Git added support for partial clone in 2.17
+            # https://git-scm.com/docs/partial-clone
+            # Speeds up cloning by functioning without a complete copy of repository
+            self.run_command(
+                make_command(
+                    "clone",
+                    "--filter=blob:none",
+                    *flags,
+                    url,
+                    dest,
+                )
+            )
+        else:
+            self.run_command(make_command("clone", *flags, url, dest))
+
+        if rev_options.rev:
+            # Then a specific revision was requested.
+            rev_options = self.resolve_revision(dest, url, rev_options)
+            branch_name = getattr(rev_options, "branch_name", None)
+            logger.debug("Rev options %s, branch_name %s", rev_options, branch_name)
+            if branch_name is None:
+                # Only do a checkout if the current commit id doesn't match
+                # the requested revision.
+                if not self.is_commit_id_equal(dest, rev_options.rev):
+                    cmd_args = make_command(
+                        "checkout",
+                        "-q",
+                        rev_options.to_args(),
+                    )
+                    self.run_command(cmd_args, cwd=dest)
+            elif self.get_current_branch(dest) != branch_name:
+                # Then a specific branch was requested, and that branch
+                # is not yet checked out.
+                track_branch = f"origin/{branch_name}"
+                cmd_args = [
+                    "checkout",
+                    "-b",
+                    branch_name,
+                    "--track",
+                    track_branch,
+                ]
+                self.run_command(cmd_args, cwd=dest)
+        else:
+            sha = self.get_revision(dest)
+            rev_options = rev_options.make_new(sha)
+
+        logger.info("Resolved %s to commit %s", url, rev_options.rev)
+
+        #: repo may contain submodules
+        self.update_submodules(dest, verbosity=verbosity)
+
+    def switch(
+        self,
+        dest: str,
+        url: HiddenText,
+        rev_options: RevOptions,
+        verbosity: int = 0,
+    ) -> None:
+        self.run_command(
+            make_command("config", "remote.origin.url", url),
+            cwd=dest,
+        )
+
+        extra_flags = []
+
+        if verbosity <= 0:
+            extra_flags.append("-q")
+
+        cmd_args = make_command("checkout", *extra_flags, rev_options.to_args())
+        self.run_command(cmd_args, cwd=dest)
+
+        self.update_submodules(dest, verbosity=verbosity)
+
+    def update(
+        self,
+        dest: str,
+        url: HiddenText,
+        rev_options: RevOptions,
+        verbosity: int = 0,
+    ) -> None:
+        extra_flags = []
+
+        if verbosity <= 0:
+            extra_flags.append("-q")
+
+        # First fetch changes from the default remote
+        if self.get_git_version() >= (1, 9):
+            # fetch tags in addition to everything else
+            self.run_command(["fetch", "--tags", *extra_flags], cwd=dest)
+        else:
+            self.run_command(["fetch", *extra_flags], cwd=dest)
+        # Then reset to wanted revision (maybe even origin/master)
+        rev_options = self.resolve_revision(dest, url, rev_options)
+        cmd_args = make_command(
+            "reset",
+            "--hard",
+            *extra_flags,
+            rev_options.to_args(),
+        )
+        self.run_command(cmd_args, cwd=dest)
+        #: update submodules
+        self.update_submodules(dest, verbosity=verbosity)
+
+    @classmethod
+    def get_remote_url(cls, location: str) -> str:
+        """
+        Return URL of the first remote encountered.
+
+        Raises RemoteNotFoundError if the repository does not have a remote
+        url configured.
+        """
+        # We need to pass 1 for extra_ok_returncodes since the command
+        # exits with return code 1 if there are no matching lines.
+        stdout = cls.run_command(
+            ["config", "--get-regexp", r"remote\..*\.url"],
+            extra_ok_returncodes=(1,),
+            show_stdout=False,
+            stdout_only=True,
+            cwd=location,
+        )
+        remotes = stdout.splitlines()
+        try:
+            found_remote = remotes[0]
+        except IndexError:
+            raise RemoteNotFoundError
+
+        for remote in remotes:
+            if remote.startswith("remote.origin.url "):
+                found_remote = remote
+                break
+        url = found_remote.split(" ")[1]
+        return cls._git_remote_to_pip_url(url.strip())
+
+    @staticmethod
+    def _git_remote_to_pip_url(url: str) -> str:
+        """
+        Convert a remote url from what git uses to what pip accepts.
+
+        There are 3 legal forms **url** may take:
+
+            1. A fully qualified url: ssh://git@example.com/foo/bar.git
+            2. A local project.git folder: /path/to/bare/repository.git
+            3. SCP shorthand for form 1: git@example.com:foo/bar.git
+
+        Form 1 is output as-is. Form 2 must be converted to URI and form 3 must
+        be converted to form 1.
+
+        See the corresponding test test_git_remote_url_to_pip() for examples of
+        sample inputs/outputs.
+        """
+        if re.match(r"\w+://", url):
+            # This is already valid. Pass it though as-is.
+            return url
+        if os.path.exists(url):
+            # A local bare remote (git clone --mirror).
+            # Needs a file:// prefix.
+            return pathlib.Path(url).as_uri()
+        scp_match = SCP_REGEX.match(url)
+        if scp_match:
+            # Add an ssh:// prefix and replace the ':' with a '/'.
+            return scp_match.expand(r"ssh://\1\2/\3")
+        # Otherwise, bail out.
+        raise RemoteNotValidError(url)
+
+    @classmethod
+    def has_commit(cls, location: str, rev: str) -> bool:
+        """
+        Check if rev is a commit that is available in the local repository.
+        """
+        try:
+            cls.run_command(
+                ["rev-parse", "-q", "--verify", rev + "^{commit}"],
+                cwd=location,
+                log_failed_cmd=False,
+            )
+        except InstallationError:
+            return False
+        else:
+            return True
+
+    @classmethod
+    def get_revision(cls, location: str, rev: str | None = None) -> str:
+        if rev is None:
+            rev = "HEAD"
+        current_rev = cls.run_command(
+            ["rev-parse", rev],
+            show_stdout=False,
+            stdout_only=True,
+            cwd=location,
+        )
+        return current_rev.strip()
+
+    @classmethod
+    def get_subdirectory(cls, location: str) -> str | None:
+        """
+        Return the path to Python project root, relative to the repo root.
+        Return None if the project root is in the repo root.
+        """
+        # find the repo root
+        git_dir = cls.run_command(
+            ["rev-parse", "--git-dir"],
+            show_stdout=False,
+            stdout_only=True,
+            cwd=location,
+        ).strip()
+        if not os.path.isabs(git_dir):
+            git_dir = os.path.join(location, git_dir)
+        repo_root = os.path.abspath(os.path.join(git_dir, ".."))
+        return find_path_to_project_root_from_repo_root(location, repo_root)
+
+    @classmethod
+    def get_url_rev_and_auth(cls, url: str) -> tuple[str, str | None, AuthInfo]:
+        """
+        Prefixes stub URLs like 'user@hostname:user/repo.git' with 'ssh://'.
+        That's required because although they use SSH they sometimes don't
+        work with a ssh:// scheme (e.g. GitHub). But we need a scheme for
+        parsing. Hence we remove it again afterwards and return it as a stub.
+        """
+        import urllib.request
+
+        # Works around an apparent Git bug
+        # (see https://article.gmane.org/gmane.comp.version-control.git/146500)
+        scheme, netloc, path, query, fragment = urlsplit(url)
+        if scheme.endswith("file"):
+            initial_slashes = path[: -len(path.lstrip("/"))]
+            newpath = initial_slashes + urllib.request.url2pathname(path).replace(
+                "\\", "/"
+            ).lstrip("/")
+            after_plus = scheme.find("+") + 1
+            url = scheme[:after_plus] + urlunsplit(
+                (scheme[after_plus:], netloc, newpath, query, fragment),
+            )
+
+        if "://" not in url:
+            assert "file:" not in url
+            url = url.replace("git+", "git+ssh://")
+            url, rev, user_pass = super().get_url_rev_and_auth(url)
+            url = url.replace("ssh://", "")
+        else:
+            url, rev, user_pass = super().get_url_rev_and_auth(url)
+
+        return url, rev, user_pass
+
+    @classmethod
+    def update_submodules(cls, location: str, verbosity: int = 0) -> None:
+        argv = ["submodule", "update", "--init", "--recursive"]
+
+        if verbosity <= 0:
+            argv.append("-q")
+
+        if not os.path.exists(os.path.join(location, ".gitmodules")):
+            return
+        cls.run_command(
+            argv,
+            cwd=location,
+        )
+
+    @classmethod
+    def get_repository_root(cls, location: str) -> str | None:
+        loc = super().get_repository_root(location)
+        if loc:
+            return loc
+        try:
+            r = cls.run_command(
+                ["rev-parse", "--show-toplevel"],
+                cwd=location,
+                show_stdout=False,
+                stdout_only=True,
+                on_returncode="raise",
+                log_failed_cmd=False,
+            )
+        except BadCommand:
+            logger.debug(
+                "could not determine if %s is under git control "
+                "because git is not available",
+                location,
+            )
+            return None
+        except InstallationError:
+            return None
+        return os.path.normpath(r.rstrip("\r\n"))
+
+    @staticmethod
+    def should_add_vcs_url_prefix(repo_url: str) -> bool:
+        """In either https or ssh form, requirements must be prefixed with git+."""
+        return True
+
+
+vcs.register(Git)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/mercurial.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/mercurial.py
new file mode 100644
index 0000000000000000000000000000000000000000..c875803164ee5fe220be7ab4486ef1c66427cebd
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/mercurial.py
@@ -0,0 +1,186 @@
+from __future__ import annotations
+
+import configparser
+import logging
+import os
+
+from pip._internal.exceptions import BadCommand, InstallationError
+from pip._internal.utils.misc import HiddenText, display_path
+from pip._internal.utils.subprocess import make_command
+from pip._internal.utils.urls import path_to_url
+from pip._internal.vcs.versioncontrol import (
+    RevOptions,
+    VersionControl,
+    find_path_to_project_root_from_repo_root,
+    vcs,
+)
+
+logger = logging.getLogger(__name__)
+
+
+class Mercurial(VersionControl):
+    name = "hg"
+    dirname = ".hg"
+    repo_name = "clone"
+    schemes = (
+        "hg+file",
+        "hg+http",
+        "hg+https",
+        "hg+ssh",
+        "hg+static-http",
+    )
+
+    @staticmethod
+    def get_base_rev_args(rev: str) -> list[str]:
+        return [f"--rev={rev}"]
+
+    def fetch_new(
+        self, dest: str, url: HiddenText, rev_options: RevOptions, verbosity: int
+    ) -> None:
+        rev_display = rev_options.to_display()
+        logger.info(
+            "Cloning hg %s%s to %s",
+            url,
+            rev_display,
+            display_path(dest),
+        )
+        if verbosity <= 0:
+            flags: tuple[str, ...] = ("--quiet",)
+        elif verbosity == 1:
+            flags = ()
+        elif verbosity == 2:
+            flags = ("--verbose",)
+        else:
+            flags = ("--verbose", "--debug")
+        self.run_command(make_command("clone", "--noupdate", *flags, url, dest))
+        self.run_command(
+            make_command("update", *flags, rev_options.to_args()),
+            cwd=dest,
+        )
+
+    def switch(
+        self,
+        dest: str,
+        url: HiddenText,
+        rev_options: RevOptions,
+        verbosity: int = 0,
+    ) -> None:
+        extra_flags = []
+        repo_config = os.path.join(dest, self.dirname, "hgrc")
+        config = configparser.RawConfigParser()
+
+        if verbosity <= 0:
+            extra_flags.append("-q")
+
+        try:
+            config.read(repo_config)
+            config.set("paths", "default", url.secret)
+            with open(repo_config, "w") as config_file:
+                config.write(config_file)
+        except (OSError, configparser.NoSectionError) as exc:
+            logger.warning("Could not switch Mercurial repository to %s: %s", url, exc)
+        else:
+            cmd_args = make_command("update", *extra_flags, rev_options.to_args())
+            self.run_command(cmd_args, cwd=dest)
+
+    def update(
+        self,
+        dest: str,
+        url: HiddenText,
+        rev_options: RevOptions,
+        verbosity: int = 0,
+    ) -> None:
+        extra_flags = []
+
+        if verbosity <= 0:
+            extra_flags.append("-q")
+
+        self.run_command(["pull", *extra_flags], cwd=dest)
+        cmd_args = make_command("update", *extra_flags, rev_options.to_args())
+        self.run_command(cmd_args, cwd=dest)
+
+    @classmethod
+    def get_remote_url(cls, location: str) -> str:
+        url = cls.run_command(
+            ["showconfig", "paths.default"],
+            show_stdout=False,
+            stdout_only=True,
+            cwd=location,
+        ).strip()
+        if cls._is_local_repository(url):
+            url = path_to_url(url)
+        return url.strip()
+
+    @classmethod
+    def get_revision(cls, location: str) -> str:
+        """
+        Return the repository-local changeset revision number, as an integer.
+        """
+        current_revision = cls.run_command(
+            ["parents", "--template={rev}"],
+            show_stdout=False,
+            stdout_only=True,
+            cwd=location,
+        ).strip()
+        return current_revision
+
+    @classmethod
+    def get_requirement_revision(cls, location: str) -> str:
+        """
+        Return the changeset identification hash, as a 40-character
+        hexadecimal string
+        """
+        current_rev_hash = cls.run_command(
+            ["parents", "--template={node}"],
+            show_stdout=False,
+            stdout_only=True,
+            cwd=location,
+        ).strip()
+        return current_rev_hash
+
+    @classmethod
+    def is_commit_id_equal(cls, dest: str, name: str | None) -> bool:
+        """Always assume the versions don't match"""
+        return False
+
+    @classmethod
+    def get_subdirectory(cls, location: str) -> str | None:
+        """
+        Return the path to Python project root, relative to the repo root.
+        Return None if the project root is in the repo root.
+        """
+        # find the repo root
+        repo_root = cls.run_command(
+            ["root"], show_stdout=False, stdout_only=True, cwd=location
+        ).strip()
+        if not os.path.isabs(repo_root):
+            repo_root = os.path.abspath(os.path.join(location, repo_root))
+        return find_path_to_project_root_from_repo_root(location, repo_root)
+
+    @classmethod
+    def get_repository_root(cls, location: str) -> str | None:
+        loc = super().get_repository_root(location)
+        if loc:
+            return loc
+        try:
+            r = cls.run_command(
+                ["root"],
+                cwd=location,
+                show_stdout=False,
+                stdout_only=True,
+                on_returncode="raise",
+                log_failed_cmd=False,
+            )
+        except BadCommand:
+            logger.debug(
+                "could not determine if %s is under hg control "
+                "because hg is not available",
+                location,
+            )
+            return None
+        except InstallationError:
+            return None
+        return os.path.normpath(r.rstrip("\r\n"))
+
+
+vcs.register(Mercurial)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/subversion.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/subversion.py
new file mode 100644
index 0000000000000000000000000000000000000000..579f428c8ca63a99949f659ceb664dda4b881f32
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/subversion.py
@@ -0,0 +1,335 @@
+from __future__ import annotations
+
+import logging
+import os
+import re
+
+from pip._internal.utils.misc import (
+    HiddenText,
+    display_path,
+    is_console_interactive,
+    is_installable_dir,
+    split_auth_from_netloc,
+)
+from pip._internal.utils.subprocess import CommandArgs, make_command
+from pip._internal.vcs.versioncontrol import (
+    AuthInfo,
+    RemoteNotFoundError,
+    RevOptions,
+    VersionControl,
+    vcs,
+)
+
+logger = logging.getLogger(__name__)
+
+_svn_xml_url_re = re.compile('url="([^"]+)"')
+_svn_rev_re = re.compile(r'committed-rev="(\d+)"')
+_svn_info_xml_rev_re = re.compile(r'\s*revision="(\d+)"')
+_svn_info_xml_url_re = re.compile(r"(.*)")
+
+
+class Subversion(VersionControl):
+    name = "svn"
+    dirname = ".svn"
+    repo_name = "checkout"
+    schemes = ("svn+ssh", "svn+http", "svn+https", "svn+svn", "svn+file")
+
+    @classmethod
+    def should_add_vcs_url_prefix(cls, remote_url: str) -> bool:
+        return True
+
+    @staticmethod
+    def get_base_rev_args(rev: str) -> list[str]:
+        return ["-r", rev]
+
+    @classmethod
+    def get_revision(cls, location: str) -> str:
+        """
+        Return the maximum revision for all files under a given location
+        """
+        # Note: taken from setuptools.command.egg_info
+        revision = 0
+
+        for base, dirs, _ in os.walk(location):
+            if cls.dirname not in dirs:
+                dirs[:] = []
+                continue  # no sense walking uncontrolled subdirs
+            dirs.remove(cls.dirname)
+            entries_fn = os.path.join(base, cls.dirname, "entries")
+            if not os.path.exists(entries_fn):
+                # FIXME: should we warn?
+                continue
+
+            dirurl, localrev = cls._get_svn_url_rev(base)
+
+            if base == location:
+                assert dirurl is not None
+                base = dirurl + "/"  # save the root url
+            elif not dirurl or not dirurl.startswith(base):
+                dirs[:] = []
+                continue  # not part of the same svn tree, skip it
+            revision = max(revision, localrev)
+        return str(revision)
+
+    @classmethod
+    def get_netloc_and_auth(
+        cls, netloc: str, scheme: str
+    ) -> tuple[str, tuple[str | None, str | None]]:
+        """
+        This override allows the auth information to be passed to svn via the
+        --username and --password options instead of via the URL.
+        """
+        if scheme == "ssh":
+            # The --username and --password options can't be used for
+            # svn+ssh URLs, so keep the auth information in the URL.
+            return super().get_netloc_and_auth(netloc, scheme)
+
+        return split_auth_from_netloc(netloc)
+
+    @classmethod
+    def get_url_rev_and_auth(cls, url: str) -> tuple[str, str | None, AuthInfo]:
+        # hotfix the URL scheme after removing svn+ from svn+ssh:// re-add it
+        url, rev, user_pass = super().get_url_rev_and_auth(url)
+        if url.startswith("ssh://"):
+            url = "svn+" + url
+        return url, rev, user_pass
+
+    @staticmethod
+    def make_rev_args(username: str | None, password: HiddenText | None) -> CommandArgs:
+        extra_args: CommandArgs = []
+        if username:
+            extra_args += ["--username", username]
+        if password:
+            extra_args += ["--password", password]
+
+        return extra_args
+
+    @classmethod
+    def get_remote_url(cls, location: str) -> str:
+        # In cases where the source is in a subdirectory, we have to look up in
+        # the location until we find a valid project root.
+        orig_location = location
+        while not is_installable_dir(location):
+            last_location = location
+            location = os.path.dirname(location)
+            if location == last_location:
+                # We've traversed up to the root of the filesystem without
+                # finding a Python project.
+                logger.warning(
+                    "Could not find Python project for directory %s (tried all "
+                    "parent directories)",
+                    orig_location,
+                )
+                raise RemoteNotFoundError
+
+        url, _rev = cls._get_svn_url_rev(location)
+        if url is None:
+            raise RemoteNotFoundError
+
+        return url
+
+    @classmethod
+    def _get_svn_url_rev(cls, location: str) -> tuple[str | None, int]:
+        from pip._internal.exceptions import InstallationError
+
+        entries_path = os.path.join(location, cls.dirname, "entries")
+        if os.path.exists(entries_path):
+            with open(entries_path) as f:
+                data = f.read()
+        else:  # subversion >= 1.7 does not have the 'entries' file
+            data = ""
+
+        url = None
+        if data.startswith(("8", "9", "10")):
+            entries = list(map(str.splitlines, data.split("\n\x0c\n")))
+            del entries[0][0]  # get rid of the '8'
+            url = entries[0][3]
+            revs = [int(d[9]) for d in entries if len(d) > 9 and d[9]] + [0]
+        elif data.startswith("= 1.7
+                # Note that using get_remote_call_options is not necessary here
+                # because `svn info` is being run against a local directory.
+                # We don't need to worry about making sure interactive mode
+                # is being used to prompt for passwords, because passwords
+                # are only potentially needed for remote server requests.
+                xml = cls.run_command(
+                    ["info", "--xml", location],
+                    show_stdout=False,
+                    stdout_only=True,
+                )
+                match = _svn_info_xml_url_re.search(xml)
+                assert match is not None
+                url = match.group(1)
+                revs = [int(m.group(1)) for m in _svn_info_xml_rev_re.finditer(xml)]
+            except InstallationError:
+                url, revs = None, []
+
+        if revs:
+            rev = max(revs)
+        else:
+            rev = 0
+
+        return url, rev
+
+    @classmethod
+    def is_commit_id_equal(cls, dest: str, name: str | None) -> bool:
+        """Always assume the versions don't match"""
+        return False
+
+    def __init__(self, use_interactive: bool | None = None) -> None:
+        if use_interactive is None:
+            use_interactive = is_console_interactive()
+        self.use_interactive = use_interactive
+
+        # This member is used to cache the fetched version of the current
+        # ``svn`` client.
+        # Special value definitions:
+        #   None: Not evaluated yet.
+        #   Empty tuple: Could not parse version.
+        self._vcs_version: tuple[int, ...] | None = None
+
+        super().__init__()
+
+    def call_vcs_version(self) -> tuple[int, ...]:
+        """Query the version of the currently installed Subversion client.
+
+        :return: A tuple containing the parts of the version information or
+            ``()`` if the version returned from ``svn`` could not be parsed.
+        :raises: BadCommand: If ``svn`` is not installed.
+        """
+        # Example versions:
+        #   svn, version 1.10.3 (r1842928)
+        #      compiled Feb 25 2019, 14:20:39 on x86_64-apple-darwin17.0.0
+        #   svn, version 1.7.14 (r1542130)
+        #      compiled Mar 28 2018, 08:49:13 on x86_64-pc-linux-gnu
+        #   svn, version 1.12.0-SlikSvn (SlikSvn/1.12.0)
+        #      compiled May 28 2019, 13:44:56 on x86_64-microsoft-windows6.2
+        version_prefix = "svn, version "
+        version = self.run_command(["--version"], show_stdout=False, stdout_only=True)
+        if not version.startswith(version_prefix):
+            return ()
+
+        version = version[len(version_prefix) :].split()[0]
+        version_list = version.partition("-")[0].split(".")
+        try:
+            parsed_version = tuple(map(int, version_list))
+        except ValueError:
+            return ()
+
+        return parsed_version
+
+    def get_vcs_version(self) -> tuple[int, ...]:
+        """Return the version of the currently installed Subversion client.
+
+        If the version of the Subversion client has already been queried,
+        a cached value will be used.
+
+        :return: A tuple containing the parts of the version information or
+            ``()`` if the version returned from ``svn`` could not be parsed.
+        :raises: BadCommand: If ``svn`` is not installed.
+        """
+        if self._vcs_version is not None:
+            # Use cached version, if available.
+            # If parsing the version failed previously (empty tuple),
+            # do not attempt to parse it again.
+            return self._vcs_version
+
+        vcs_version = self.call_vcs_version()
+        self._vcs_version = vcs_version
+        return vcs_version
+
+    def get_remote_call_options(self) -> CommandArgs:
+        """Return options to be used on calls to Subversion that contact the server.
+
+        These options are applicable for the following ``svn`` subcommands used
+        in this class.
+
+            - checkout
+            - switch
+            - update
+
+        :return: A list of command line arguments to pass to ``svn``.
+        """
+        if not self.use_interactive:
+            # --non-interactive switch is available since Subversion 0.14.4.
+            # Subversion < 1.8 runs in interactive mode by default.
+            return ["--non-interactive"]
+
+        svn_version = self.get_vcs_version()
+        # By default, Subversion >= 1.8 runs in non-interactive mode if
+        # stdin is not a TTY. Since that is how pip invokes SVN, in
+        # call_subprocess(), pip must pass --force-interactive to ensure
+        # the user can be prompted for a password, if required.
+        #   SVN added the --force-interactive option in SVN 1.8. Since
+        # e.g. RHEL/CentOS 7, which is supported until 2024, ships with
+        # SVN 1.7, pip should continue to support SVN 1.7. Therefore, pip
+        # can't safely add the option if the SVN version is < 1.8 (or unknown).
+        if svn_version >= (1, 8):
+            return ["--force-interactive"]
+
+        return []
+
+    def fetch_new(
+        self, dest: str, url: HiddenText, rev_options: RevOptions, verbosity: int
+    ) -> None:
+        rev_display = rev_options.to_display()
+        logger.info(
+            "Checking out %s%s to %s",
+            url,
+            rev_display,
+            display_path(dest),
+        )
+        if verbosity <= 0:
+            flags = ["--quiet"]
+        else:
+            flags = []
+        cmd_args = make_command(
+            "checkout",
+            *flags,
+            self.get_remote_call_options(),
+            rev_options.to_args(),
+            url,
+            dest,
+        )
+        self.run_command(cmd_args)
+
+    def switch(
+        self,
+        dest: str,
+        url: HiddenText,
+        rev_options: RevOptions,
+        verbosity: int = 0,
+    ) -> None:
+        cmd_args = make_command(
+            "switch",
+            self.get_remote_call_options(),
+            rev_options.to_args(),
+            url,
+            dest,
+        )
+        self.run_command(cmd_args)
+
+    def update(
+        self,
+        dest: str,
+        url: HiddenText,
+        rev_options: RevOptions,
+        verbosity: int = 0,
+    ) -> None:
+        cmd_args = make_command(
+            "update",
+            self.get_remote_call_options(),
+            rev_options.to_args(),
+            dest,
+        )
+        self.run_command(cmd_args)
+
+
+vcs.register(Subversion)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/versioncontrol.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/versioncontrol.py
new file mode 100644
index 0000000000000000000000000000000000000000..33c6b7f3f06d14199a20de59787faa34da0a27dd
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/vcs/versioncontrol.py
@@ -0,0 +1,694 @@
+"""Handles all VCS (version control) support"""
+
+from __future__ import annotations
+
+import logging
+import os
+import shutil
+import sys
+import urllib.parse
+from collections.abc import Iterable, Iterator, Mapping
+from dataclasses import dataclass, field
+from typing import (
+    Any,
+    Literal,
+)
+
+from pip._internal.cli.spinners import SpinnerInterface
+from pip._internal.exceptions import BadCommand, InstallationError
+from pip._internal.utils.misc import (
+    HiddenText,
+    ask_path_exists,
+    backup_dir,
+    display_path,
+    hide_url,
+    hide_value,
+    is_installable_dir,
+    rmtree,
+)
+from pip._internal.utils.subprocess import (
+    CommandArgs,
+    call_subprocess,
+    format_command_args,
+    make_command,
+)
+
+__all__ = ["vcs"]
+
+
+logger = logging.getLogger(__name__)
+
+AuthInfo = tuple[str | None, str | None]
+
+
+def is_url(name: str) -> bool:
+    """
+    Return true if the name looks like a URL.
+    """
+    scheme = urllib.parse.urlsplit(name).scheme
+    if not scheme:
+        return False
+    return scheme in ["http", "https", "file", "ftp"] + vcs.all_schemes
+
+
+def make_vcs_requirement_url(
+    repo_url: str, rev: str, project_name: str, subdir: str | None = None
+) -> str:
+    """
+    Return the URL for a VCS requirement.
+
+    Args:
+      repo_url: the remote VCS url, with any needed VCS prefix (e.g. "git+").
+      project_name: the (unescaped) project name.
+    """
+    quoted_rev = urllib.parse.quote(rev, "/")
+    egg_project_name = project_name.replace("-", "_")
+    req = f"{repo_url}@{quoted_rev}#egg={egg_project_name}"
+    if subdir:
+        req += f"&subdirectory={subdir}"
+
+    return req
+
+
+def find_path_to_project_root_from_repo_root(
+    location: str, repo_root: str
+) -> str | None:
+    """
+    Find the the Python project's root by searching up the filesystem from
+    `location`. Return the path to project root relative to `repo_root`.
+    Return None if the project root is `repo_root`, or cannot be found.
+    """
+    # find project root.
+    orig_location = location
+    while not is_installable_dir(location):
+        last_location = location
+        location = os.path.dirname(location)
+        if location == last_location:
+            # We've traversed up to the root of the filesystem without
+            # finding a Python project.
+            logger.warning(
+                "Could not find a Python project for directory %s (tried all "
+                "parent directories)",
+                orig_location,
+            )
+            return None
+
+    if os.path.samefile(repo_root, location):
+        return None
+
+    return os.path.relpath(location, repo_root)
+
+
+class RemoteNotFoundError(Exception):
+    pass
+
+
+class RemoteNotValidError(Exception):
+    def __init__(self, url: str):
+        super().__init__(url)
+        self.url = url
+
+
+@dataclass(frozen=True)
+class RevOptions:
+    """
+    Encapsulates a VCS-specific revision to install, along with any VCS
+    install options.
+
+    Args:
+        vc_class: a VersionControl subclass.
+        rev: the name of the revision to install.
+        extra_args: a list of extra options.
+    """
+
+    vc_class: type[VersionControl]
+    rev: str | None = None
+    extra_args: CommandArgs = field(default_factory=list)
+    branch_name: str | None = None
+
+    def __repr__(self) -> str:
+        return f""
+
+    @property
+    def arg_rev(self) -> str | None:
+        if self.rev is None:
+            return self.vc_class.default_arg_rev
+
+        return self.rev
+
+    def to_args(self) -> CommandArgs:
+        """
+        Return the VCS-specific command arguments.
+        """
+        args: CommandArgs = []
+        rev = self.arg_rev
+        if rev is not None:
+            args += self.vc_class.get_base_rev_args(rev)
+        args += self.extra_args
+
+        return args
+
+    def to_display(self) -> str:
+        if not self.rev:
+            return ""
+
+        return f" (to revision {self.rev})"
+
+    def make_new(self, rev: str) -> RevOptions:
+        """
+        Make a copy of the current instance, but with a new rev.
+
+        Args:
+          rev: the name of the revision for the new object.
+        """
+        return self.vc_class.make_rev_options(rev, extra_args=self.extra_args)
+
+
+class VcsSupport:
+    _registry: dict[str, VersionControl] = {}
+    schemes = ["ssh", "git", "hg", "bzr", "sftp", "svn"]
+
+    def __init__(self) -> None:
+        # Register more schemes with urlparse for various version control
+        # systems
+        urllib.parse.uses_netloc.extend(self.schemes)
+        super().__init__()
+
+    def __iter__(self) -> Iterator[str]:
+        return self._registry.__iter__()
+
+    @property
+    def backends(self) -> list[VersionControl]:
+        return list(self._registry.values())
+
+    @property
+    def dirnames(self) -> list[str]:
+        return [backend.dirname for backend in self.backends]
+
+    @property
+    def all_schemes(self) -> list[str]:
+        schemes: list[str] = []
+        for backend in self.backends:
+            schemes.extend(backend.schemes)
+        return schemes
+
+    def register(self, cls: type[VersionControl]) -> None:
+        if not hasattr(cls, "name"):
+            logger.warning("Cannot register VCS %s", cls.__name__)
+            return
+        if cls.name not in self._registry:
+            self._registry[cls.name] = cls()
+            logger.debug("Registered VCS backend: %s", cls.name)
+
+    def unregister(self, name: str) -> None:
+        if name in self._registry:
+            del self._registry[name]
+
+    def get_backend_for_dir(self, location: str) -> VersionControl | None:
+        """
+        Return a VersionControl object if a repository of that type is found
+        at the given directory.
+        """
+        vcs_backends = {}
+        for vcs_backend in self._registry.values():
+            repo_path = vcs_backend.get_repository_root(location)
+            if not repo_path:
+                continue
+            logger.debug("Determine that %s uses VCS: %s", location, vcs_backend.name)
+            vcs_backends[repo_path] = vcs_backend
+
+        if not vcs_backends:
+            return None
+
+        # Choose the VCS in the inner-most directory. Since all repository
+        # roots found here would be either `location` or one of its
+        # parents, the longest path should have the most path components,
+        # i.e. the backend representing the inner-most repository.
+        inner_most_repo_path = max(vcs_backends, key=len)
+        return vcs_backends[inner_most_repo_path]
+
+    def get_backend_for_scheme(self, scheme: str) -> VersionControl | None:
+        """
+        Return a VersionControl object or None.
+        """
+        for vcs_backend in self._registry.values():
+            if scheme in vcs_backend.schemes:
+                return vcs_backend
+        return None
+
+    def get_backend(self, name: str) -> VersionControl | None:
+        """
+        Return a VersionControl object or None.
+        """
+        name = name.lower()
+        return self._registry.get(name)
+
+
+vcs = VcsSupport()
+
+
+class VersionControl:
+    name = ""
+    dirname = ""
+    repo_name = ""
+    # List of supported schemes for this Version Control
+    schemes: tuple[str, ...] = ()
+    # Iterable of environment variable names to pass to call_subprocess().
+    unset_environ: tuple[str, ...] = ()
+    default_arg_rev: str | None = None
+
+    @classmethod
+    def should_add_vcs_url_prefix(cls, remote_url: str) -> bool:
+        """
+        Return whether the vcs prefix (e.g. "git+") should be added to a
+        repository's remote url when used in a requirement.
+        """
+        return not remote_url.lower().startswith(f"{cls.name}:")
+
+    @classmethod
+    def get_subdirectory(cls, location: str) -> str | None:
+        """
+        Return the path to Python project root, relative to the repo root.
+        Return None if the project root is in the repo root.
+        """
+        return None
+
+    @classmethod
+    def get_requirement_revision(cls, repo_dir: str) -> str:
+        """
+        Return the revision string that should be used in a requirement.
+        """
+        return cls.get_revision(repo_dir)
+
+    @classmethod
+    def get_src_requirement(cls, repo_dir: str, project_name: str) -> str:
+        """
+        Return the requirement string to use to redownload the files
+        currently at the given repository directory.
+
+        Args:
+          project_name: the (unescaped) project name.
+
+        The return value has a form similar to the following:
+
+            {repository_url}@{revision}#egg={project_name}
+        """
+        repo_url = cls.get_remote_url(repo_dir)
+
+        if cls.should_add_vcs_url_prefix(repo_url):
+            repo_url = f"{cls.name}+{repo_url}"
+
+        revision = cls.get_requirement_revision(repo_dir)
+        subdir = cls.get_subdirectory(repo_dir)
+        req = make_vcs_requirement_url(repo_url, revision, project_name, subdir=subdir)
+
+        return req
+
+    @staticmethod
+    def get_base_rev_args(rev: str) -> list[str]:
+        """
+        Return the base revision arguments for a vcs command.
+
+        Args:
+          rev: the name of a revision to install.  Cannot be None.
+        """
+        raise NotImplementedError
+
+    def is_immutable_rev_checkout(self, url: str, dest: str) -> bool:
+        """
+        Return true if the commit hash checked out at dest matches
+        the revision in url.
+
+        Always return False, if the VCS does not support immutable commit
+        hashes.
+
+        This method does not check if there are local uncommitted changes
+        in dest after checkout, as pip currently has no use case for that.
+        """
+        return False
+
+    @classmethod
+    def make_rev_options(
+        cls, rev: str | None = None, extra_args: CommandArgs | None = None
+    ) -> RevOptions:
+        """
+        Return a RevOptions object.
+
+        Args:
+          rev: the name of a revision to install.
+          extra_args: a list of extra options.
+        """
+        return RevOptions(cls, rev, extra_args=extra_args or [])
+
+    @classmethod
+    def _is_local_repository(cls, repo: str) -> bool:
+        """
+        posix absolute paths start with os.path.sep,
+        win32 ones start with drive (like c:\\folder)
+        """
+        drive, tail = os.path.splitdrive(repo)
+        return repo.startswith(os.path.sep) or bool(drive)
+
+    @classmethod
+    def get_netloc_and_auth(
+        cls, netloc: str, scheme: str
+    ) -> tuple[str, tuple[str | None, str | None]]:
+        """
+        Parse the repository URL's netloc, and return the new netloc to use
+        along with auth information.
+
+        Args:
+          netloc: the original repository URL netloc.
+          scheme: the repository URL's scheme without the vcs prefix.
+
+        This is mainly for the Subversion class to override, so that auth
+        information can be provided via the --username and --password options
+        instead of through the URL.  For other subclasses like Git without
+        such an option, auth information must stay in the URL.
+
+        Returns: (netloc, (username, password)).
+        """
+        return netloc, (None, None)
+
+    @classmethod
+    def get_url_rev_and_auth(cls, url: str) -> tuple[str, str | None, AuthInfo]:
+        """
+        Parse the repository URL to use, and return the URL, revision,
+        and auth info to use.
+
+        Returns: (url, rev, (username, password)).
+        """
+        scheme, netloc, path, query, frag = urllib.parse.urlsplit(url)
+        if "+" not in scheme:
+            raise ValueError(
+                f"Sorry, {url!r} is a malformed VCS url. "
+                "The format is +://, "
+                "e.g. svn+http://myrepo/svn/MyApp#egg=MyApp"
+            )
+        # Remove the vcs prefix.
+        scheme = scheme.split("+", 1)[1]
+        netloc, user_pass = cls.get_netloc_and_auth(netloc, scheme)
+        rev = None
+        if "@" in path:
+            path, rev = path.rsplit("@", 1)
+            if not rev:
+                raise InstallationError(
+                    f"The URL {url!r} has an empty revision (after @) "
+                    "which is not supported. Include a revision after @ "
+                    "or remove @ from the URL."
+                )
+            rev = urllib.parse.unquote(rev)
+        url = urllib.parse.urlunsplit((scheme, netloc, path, query, ""))
+        return url, rev, user_pass
+
+    @staticmethod
+    def make_rev_args(username: str | None, password: HiddenText | None) -> CommandArgs:
+        """
+        Return the RevOptions "extra arguments" to use in obtain().
+        """
+        return []
+
+    def get_url_rev_options(self, url: HiddenText) -> tuple[HiddenText, RevOptions]:
+        """
+        Return the URL and RevOptions object to use in obtain(),
+        as a tuple (url, rev_options).
+        """
+        secret_url, rev, user_pass = self.get_url_rev_and_auth(url.secret)
+        username, secret_password = user_pass
+        password: HiddenText | None = None
+        if secret_password is not None:
+            password = hide_value(secret_password)
+        extra_args = self.make_rev_args(username, password)
+        rev_options = self.make_rev_options(rev, extra_args=extra_args)
+
+        return hide_url(secret_url), rev_options
+
+    @staticmethod
+    def normalize_url(url: str) -> str:
+        """
+        Normalize a URL for comparison by unquoting it and removing any
+        trailing slash.
+        """
+        return urllib.parse.unquote(url).rstrip("/")
+
+    @classmethod
+    def compare_urls(cls, url1: str, url2: str) -> bool:
+        """
+        Compare two repo URLs for identity, ignoring incidental differences.
+        """
+        return cls.normalize_url(url1) == cls.normalize_url(url2)
+
+    def fetch_new(
+        self, dest: str, url: HiddenText, rev_options: RevOptions, verbosity: int
+    ) -> None:
+        """
+        Fetch a revision from a repository, in the case that this is the
+        first fetch from the repository.
+
+        Args:
+          dest: the directory to fetch the repository to.
+          rev_options: a RevOptions object.
+          verbosity: verbosity level.
+        """
+        raise NotImplementedError
+
+    def switch(
+        self,
+        dest: str,
+        url: HiddenText,
+        rev_options: RevOptions,
+        verbosity: int = 0,
+    ) -> None:
+        """
+        Switch the repo at ``dest`` to point to ``URL``.
+
+        Args:
+          rev_options: a RevOptions object.
+        """
+        raise NotImplementedError
+
+    def update(
+        self,
+        dest: str,
+        url: HiddenText,
+        rev_options: RevOptions,
+        verbosity: int = 0,
+    ) -> None:
+        """
+        Update an already-existing repo to the given ``rev_options``.
+
+        Args:
+          rev_options: a RevOptions object.
+        """
+        raise NotImplementedError
+
+    @classmethod
+    def is_commit_id_equal(cls, dest: str, name: str | None) -> bool:
+        """
+        Return whether the id of the current commit equals the given name.
+
+        Args:
+          dest: the repository directory.
+          name: a string name.
+        """
+        raise NotImplementedError
+
+    def obtain(self, dest: str, url: HiddenText, verbosity: int) -> None:
+        """
+        Install or update in editable mode the package represented by this
+        VersionControl object.
+
+        :param dest: the repository directory in which to install or update.
+        :param url: the repository URL starting with a vcs prefix.
+        :param verbosity: verbosity level.
+        """
+        url, rev_options = self.get_url_rev_options(url)
+
+        if not os.path.exists(dest):
+            self.fetch_new(dest, url, rev_options, verbosity=verbosity)
+            return
+
+        rev_display = rev_options.to_display()
+        if self.is_repository_directory(dest):
+            existing_url = self.get_remote_url(dest)
+            if self.compare_urls(existing_url, url.secret):
+                logger.debug(
+                    "%s in %s exists, and has correct URL (%s)",
+                    self.repo_name.title(),
+                    display_path(dest),
+                    url,
+                )
+                if not self.is_commit_id_equal(dest, rev_options.rev):
+                    logger.info(
+                        "Updating %s %s%s",
+                        display_path(dest),
+                        self.repo_name,
+                        rev_display,
+                    )
+                    self.update(dest, url, rev_options, verbosity=verbosity)
+                else:
+                    logger.info("Skipping because already up-to-date.")
+                return
+
+            logger.warning(
+                "%s %s in %s exists with URL %s",
+                self.name,
+                self.repo_name,
+                display_path(dest),
+                existing_url,
+            )
+            prompt = ("(s)witch, (i)gnore, (w)ipe, (b)ackup ", ("s", "i", "w", "b"))
+        else:
+            logger.warning(
+                "Directory %s already exists, and is not a %s %s.",
+                dest,
+                self.name,
+                self.repo_name,
+            )
+            # https://github.com/python/mypy/issues/1174
+            prompt = ("(i)gnore, (w)ipe, (b)ackup ", ("i", "w", "b"))  # type: ignore
+
+        logger.warning(
+            "The plan is to install the %s repository %s",
+            self.name,
+            url,
+        )
+        response = ask_path_exists(f"What to do?  {prompt[0]}", prompt[1])
+
+        if response == "a":
+            sys.exit(-1)
+
+        if response == "w":
+            logger.warning("Deleting %s", display_path(dest))
+            rmtree(dest)
+            self.fetch_new(dest, url, rev_options, verbosity=verbosity)
+            return
+
+        if response == "b":
+            dest_dir = backup_dir(dest)
+            logger.warning("Backing up %s to %s", display_path(dest), dest_dir)
+            shutil.move(dest, dest_dir)
+            self.fetch_new(dest, url, rev_options, verbosity=verbosity)
+            return
+
+        # Do nothing if the response is "i".
+        if response == "s":
+            logger.info(
+                "Switching %s %s to %s%s",
+                self.repo_name,
+                display_path(dest),
+                url,
+                rev_display,
+            )
+            self.switch(dest, url, rev_options, verbosity=verbosity)
+
+    def unpack(self, location: str, url: HiddenText, verbosity: int) -> None:
+        """
+        Clean up current location and download the url repository
+        (and vcs infos) into location
+
+        :param url: the repository URL starting with a vcs prefix.
+        :param verbosity: verbosity level.
+        """
+        if os.path.exists(location):
+            rmtree(location)
+        self.obtain(location, url=url, verbosity=verbosity)
+
+    @classmethod
+    def get_remote_url(cls, location: str) -> str:
+        """
+        Return the url used at location
+
+        Raises RemoteNotFoundError if the repository does not have a remote
+        url configured.
+        """
+        raise NotImplementedError
+
+    @classmethod
+    def get_revision(cls, location: str) -> str:
+        """
+        Return the current commit id of the files at the given location.
+        """
+        raise NotImplementedError
+
+    @classmethod
+    def run_command(
+        cls,
+        cmd: list[str] | CommandArgs,
+        show_stdout: bool = True,
+        cwd: str | None = None,
+        on_returncode: Literal["raise", "warn", "ignore"] = "raise",
+        extra_ok_returncodes: Iterable[int] | None = None,
+        command_desc: str | None = None,
+        extra_environ: Mapping[str, Any] | None = None,
+        spinner: SpinnerInterface | None = None,
+        log_failed_cmd: bool = True,
+        stdout_only: bool = False,
+    ) -> str:
+        """
+        Run a VCS subcommand
+        This is simply a wrapper around call_subprocess that adds the VCS
+        command name, and checks that the VCS is available
+        """
+        cmd = make_command(cls.name, *cmd)
+        if command_desc is None:
+            command_desc = format_command_args(cmd)
+        try:
+            return call_subprocess(
+                cmd,
+                show_stdout,
+                cwd,
+                on_returncode=on_returncode,
+                extra_ok_returncodes=extra_ok_returncodes,
+                command_desc=command_desc,
+                extra_environ=extra_environ,
+                unset_environ=cls.unset_environ,
+                spinner=spinner,
+                log_failed_cmd=log_failed_cmd,
+                stdout_only=stdout_only,
+            )
+        except NotADirectoryError:
+            raise BadCommand(f"Cannot find command {cls.name!r} - invalid PATH")
+        except FileNotFoundError:
+            # errno.ENOENT = no such file or directory
+            # In other words, the VCS executable isn't available
+            raise BadCommand(
+                f"Cannot find command {cls.name!r} - do you have "
+                f"{cls.name!r} installed and in your PATH?"
+            )
+        except PermissionError:
+            # errno.EACCES = Permission denied
+            # This error occurs, for instance, when the command is installed
+            # only for another user. So, the current user don't have
+            # permission to call the other user command.
+            raise BadCommand(
+                f"No permission to execute {cls.name!r} - install it "
+                f"locally, globally (ask admin), or check your PATH. "
+                f"See possible solutions at "
+                f"https://pip.pypa.io/en/latest/reference/pip_freeze/"
+                f"#fixing-permission-denied."
+            )
+
+    @classmethod
+    def is_repository_directory(cls, path: str) -> bool:
+        """
+        Return whether a directory path is a repository directory.
+        """
+        logger.debug("Checking in %s for %s (%s)...", path, cls.dirname, cls.name)
+        return os.path.exists(os.path.join(path, cls.dirname))
+
+    @classmethod
+    def get_repository_root(cls, location: str) -> str | None:
+        """
+        Return the "root" (top-level) directory controlled by the vcs,
+        or `None` if the directory is not in any.
+
+        It is meant to be overridden to implement smarter detection
+        mechanisms for specific vcs.
+
+        This can do more than is_repository_directory() alone. For
+        example, the Git override checks that Git is actually available.
+        """
+        if cls.is_repository_directory(location):
+            return location
+        return None
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/wheel_builder.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/wheel_builder.py
new file mode 100644
index 0000000000000000000000000000000000000000..8a5526142f5a7695b15d6a504985db8389bccddc
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_internal/wheel_builder.py
@@ -0,0 +1,265 @@
+"""Orchestrator for building wheels from InstallRequirements."""
+
+from __future__ import annotations
+
+import logging
+import os.path
+import re
+from collections.abc import Iterable
+from tempfile import TemporaryDirectory
+
+from pip._vendor.packaging.utils import canonicalize_name, canonicalize_version
+from pip._vendor.packaging.version import InvalidVersion, Version
+
+from pip._internal.cache import WheelCache
+from pip._internal.exceptions import InvalidWheelFilename, UnsupportedWheel
+from pip._internal.metadata import FilesystemWheel, get_wheel_distribution
+from pip._internal.models.link import Link
+from pip._internal.models.wheel import Wheel
+from pip._internal.operations.build.wheel import build_wheel_pep517
+from pip._internal.operations.build.wheel_editable import build_wheel_editable
+from pip._internal.req.req_install import InstallRequirement
+from pip._internal.utils.logging import indent_log
+from pip._internal.utils.misc import ensure_dir, hash_file
+from pip._internal.utils.urls import path_to_url
+from pip._internal.vcs import vcs
+
+logger = logging.getLogger(__name__)
+
+_egg_info_re = re.compile(r"([a-z0-9_.]+)-([a-z0-9_.!+-]+)", re.IGNORECASE)
+
+BuildResult = tuple[list[InstallRequirement], list[InstallRequirement]]
+
+
+def _contains_egg_info(s: str) -> bool:
+    """Determine whether the string looks like an egg_info.
+
+    :param s: The string to parse. E.g. foo-2.1
+    """
+    return bool(_egg_info_re.search(s))
+
+
+def _should_cache(
+    req: InstallRequirement,
+) -> bool | None:
+    """
+    Return whether a built InstallRequirement can be stored in the persistent
+    wheel cache, assuming the wheel cache is available.
+    """
+    if req.editable or not req.source_dir:
+        # never cache editable requirements
+        return False
+    if req.link and req.link.is_existing_dir():
+        # never cache local directory requirements
+        return False
+
+    if req.link and req.link.is_vcs:
+        # VCS checkout. Do not cache
+        # unless it points to an immutable commit hash.
+        assert not req.editable
+        assert req.source_dir
+        vcs_backend = vcs.get_backend_for_scheme(req.link.scheme)
+        assert vcs_backend
+        if vcs_backend.is_immutable_rev_checkout(req.link.url, req.source_dir):
+            return True
+        return False
+
+    assert req.link
+    base, ext = req.link.splitext()
+    if _contains_egg_info(base):
+        return True
+
+    # Otherwise, do not cache.
+    return False
+
+
+def _get_cache_dir(
+    req: InstallRequirement,
+    wheel_cache: WheelCache,
+) -> str:
+    """Return the persistent or temporary cache directory where the built
+    wheel need to be stored.
+    """
+    cache_available = bool(wheel_cache.cache_dir)
+    assert req.link
+    if cache_available and _should_cache(req):
+        cache_dir = wheel_cache.get_path_for_link(req.link)
+    else:
+        cache_dir = wheel_cache.get_ephem_path_for_link(req.link)
+    return cache_dir
+
+
+def _verify_one(req: InstallRequirement, wheel_path: str) -> None:
+    canonical_name = canonicalize_name(req.name or "")
+    w = Wheel(os.path.basename(wheel_path))
+    if w.name != canonical_name:
+        raise InvalidWheelFilename(
+            f"Wheel has unexpected file name: expected {canonical_name!r}, "
+            f"got {w.name!r}",
+        )
+    dist = get_wheel_distribution(FilesystemWheel(wheel_path), canonical_name)
+    dist_verstr = str(dist.version)
+    if canonicalize_version(dist_verstr) != canonicalize_version(w.version):
+        raise InvalidWheelFilename(
+            f"Wheel has unexpected file name: expected {dist_verstr!r}, "
+            f"got {w.version!r}",
+        )
+    metadata_version_value = dist.metadata_version
+    if metadata_version_value is None:
+        raise UnsupportedWheel("Missing Metadata-Version")
+    try:
+        metadata_version = Version(metadata_version_value)
+    except InvalidVersion:
+        msg = f"Invalid Metadata-Version: {metadata_version_value}"
+        raise UnsupportedWheel(msg)
+    if metadata_version >= Version("1.2") and not isinstance(dist.version, Version):
+        raise UnsupportedWheel(
+            f"Metadata 1.2 mandates PEP 440 version, but {dist_verstr!r} is not"
+        )
+
+
+def _build_one(
+    req: InstallRequirement,
+    output_dir: str,
+    verify: bool,
+    editable: bool,
+) -> str | None:
+    """Build one wheel.
+
+    :return: The filename of the built wheel, or None if the build failed.
+    """
+    artifact = "editable" if editable else "wheel"
+    try:
+        ensure_dir(output_dir)
+    except OSError as e:
+        logger.warning(
+            "Building %s for %s failed: %s",
+            artifact,
+            req.name,
+            e,
+        )
+        return None
+
+    # Install build deps into temporary directory (PEP 518)
+    with req.build_env:
+        wheel_path = _build_one_inside_env(req, output_dir, editable)
+    if wheel_path and verify:
+        try:
+            _verify_one(req, wheel_path)
+        except (InvalidWheelFilename, UnsupportedWheel) as e:
+            logger.warning("Built %s for %s is invalid: %s", artifact, req.name, e)
+            return None
+    return wheel_path
+
+
+def _build_one_inside_env(
+    req: InstallRequirement,
+    output_dir: str,
+    editable: bool,
+) -> str | None:
+    with TemporaryDirectory(dir=output_dir) as wheel_directory:
+        assert req.name
+        assert req.metadata_directory
+        assert req.pep517_backend
+        if editable:
+            wheel_path = build_wheel_editable(
+                name=req.name,
+                backend=req.pep517_backend,
+                metadata_directory=req.metadata_directory,
+                wheel_directory=wheel_directory,
+            )
+        else:
+            wheel_path = build_wheel_pep517(
+                name=req.name,
+                backend=req.pep517_backend,
+                metadata_directory=req.metadata_directory,
+                wheel_directory=wheel_directory,
+            )
+
+        if wheel_path is not None:
+            wheel_name = os.path.basename(wheel_path)
+            dest_path = os.path.join(output_dir, wheel_name)
+            try:
+                wheel_hash, length = hash_file(wheel_path)
+                # We can do a replace here because wheel_path is guaranteed to
+                # be in the same filesystem as output_dir. This will perform an
+                # atomic rename, which is necessary to avoid concurrency issues
+                # when populating the cache.
+                os.replace(wheel_path, dest_path)
+                logger.info(
+                    "Created wheel for %s: filename=%s size=%d sha256=%s",
+                    req.name,
+                    wheel_name,
+                    length,
+                    wheel_hash.hexdigest(),
+                )
+                logger.info("Stored in directory: %s", output_dir)
+                return dest_path
+            except Exception as e:
+                logger.warning(
+                    "Building wheel for %s failed: %s",
+                    req.name,
+                    e,
+                )
+        return None
+
+
+def build(
+    requirements: Iterable[InstallRequirement],
+    wheel_cache: WheelCache,
+    verify: bool,
+    allow_editables: bool,
+) -> BuildResult:
+    """Build wheels.
+
+    :return: The list of InstallRequirement that succeeded to build and
+        the list of InstallRequirement that failed to build.
+    """
+    if not requirements:
+        return [], []
+
+    # Build the wheels.
+    logger.info(
+        "Building wheels for collected packages: %s",
+        ", ".join(req.name for req in requirements),  # type: ignore
+    )
+
+    with indent_log():
+        build_successes, build_failures = [], []
+        for req in requirements:
+            assert req.name
+            cache_dir = _get_cache_dir(req, wheel_cache)
+            wheel_file = _build_one(
+                req,
+                cache_dir,
+                verify,
+                req.editable and allow_editables,
+            )
+            if wheel_file:
+                # Record the download origin in the cache
+                if req.download_info is not None:
+                    # download_info is guaranteed to be set because when we build an
+                    # InstallRequirement it has been through the preparer before, but
+                    # let's be cautious.
+                    wheel_cache.record_download_origin(cache_dir, req.download_info)
+                # Update the link for this.
+                req.link = Link(path_to_url(wheel_file))
+                req.local_file_path = req.link.file_path
+                assert req.link.is_wheel
+                build_successes.append(req)
+            else:
+                build_failures.append(req)
+
+    # notify success/failure
+    if build_successes:
+        logger.info(
+            "Successfully built %s",
+            " ".join([req.name for req in build_successes]),  # type: ignore
+        )
+    if build_failures:
+        logger.info(
+            "Failed to build %s",
+            " ".join([req.name for req in build_failures]),  # type: ignore
+        )
+    # Return a list of requirements that failed to build
+    return build_successes, build_failures
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/README.rst b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/README.rst
new file mode 100644
index 0000000000000000000000000000000000000000..7429a52f46fb3a76f214744d79f0509be026b87a
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/README.rst
@@ -0,0 +1,178 @@
+================
+Vendoring Policy
+================
+
+* Vendored libraries **MUST** not be modified except as required to
+  successfully vendor them.
+* Vendored libraries **MUST** be released copies of libraries available on
+  PyPI.
+* Vendored libraries **MUST** be available under a license that allows
+  them to be integrated into ``pip``, which is released under the MIT license.
+* Vendored libraries **MUST** be accompanied with LICENSE files.
+* The versions of libraries vendored in pip **MUST** be reflected in
+  ``pip/_vendor/vendor.txt``.
+* Vendored libraries **MUST** function without any build steps such as ``2to3``
+  or compilation of C code, practically this limits to single source 2.x/3.x and
+  pure Python.
+* Any modifications made to libraries **MUST** be noted in
+  ``pip/_vendor/README.rst`` and their corresponding patches **MUST** be
+  included ``tools/vendoring/patches``.
+* Vendored libraries should have corresponding ``vendored()`` entries in
+  ``pip/_vendor/__init__.py``.
+
+Rationale
+=========
+
+Historically pip has not had any dependencies except for ``setuptools`` itself,
+choosing instead to implement any functionality it needed to prevent needing
+a dependency. However, starting with pip 1.5, we began to replace code that was
+implemented inside of pip with reusable libraries from PyPI. This brought the
+typical benefits of reusing libraries instead of reinventing the wheel like
+higher quality and more battle tested code, centralization of bug fixes
+(particularly security sensitive ones), and better/more features for less work.
+
+However, there are several issues with having dependencies in the traditional
+way (via ``install_requires``) for pip. These issues are:
+
+**Fragility**
+   When pip depends on another library to function then if for whatever reason
+   that library either isn't installed or an incompatible version is installed
+   then pip ceases to function. This is of course true for all Python
+   applications, however for every application *except* for pip the way you fix
+   it is by re-running pip. Obviously, when pip can't run, you can't use pip to
+   fix pip, so you're left having to manually resolve dependencies and
+   installing them by hand.
+
+**Making other libraries uninstallable**
+   One of pip's current dependencies is the ``requests`` library, for which pip
+   requires a fairly recent version to run.  If pip depended on ``requests`` in
+   the traditional manner, then we'd either have to maintain compatibility with
+   every ``requests`` version that has ever existed (and ever will), OR allow
+   pip to render certain versions of ``requests`` uninstallable. (The second
+   issue, although technically true for any Python application, is magnified by
+   pip's ubiquity; pip is installed by default in Python, in ``pyvenv``, and in
+   ``virtualenv``.)
+
+**Security**
+   This might seem puzzling at first glance, since vendoring has a tendency to
+   complicate updating dependencies for security updates, and that holds true
+   for pip. However, given the *other* reasons for avoiding dependencies, the
+   alternative is for pip to reinvent the wheel itself.  This is what pip did
+   historically. It forced pip to re-implement its own HTTPS verification
+   routines as a workaround for the Python standard library's lack of SSL
+   validation, which resulted in similar bugs in the validation routine in
+   ``requests`` and ``urllib3``, except that they had to be discovered and
+   fixed independently. Even though we're vendoring, reusing libraries keeps
+   pip more secure by relying on the great work of our dependencies, *and*
+   allowing for faster, easier security fixes by simply pulling in newer
+   versions of dependencies.
+
+**Bootstrapping**
+   Currently most popular methods of installing pip rely on pip's
+   self-contained nature to install pip itself. These tools work by bundling a
+   copy of pip, adding it to ``sys.path``, and then executing that copy of pip.
+   This is done instead of implementing a "mini installer" (to reduce
+   duplication); pip already knows how to install a Python package, and is far
+   more battle-tested than any "mini installer" could ever possibly be.
+
+Many downstream redistributors have policies against this kind of bundling, and
+instead opt to patch the software they distribute to debundle it and make it
+rely on the global versions of the software that they already have packaged
+(which may have its own patches applied to it). We (the pip team) would prefer
+it if pip was *not* debundled in this manner due to the above reasons and
+instead we would prefer it if pip would be left intact as it is now.
+
+In the longer term, if someone has a *portable* solution to the above problems,
+other than the bundling method we currently use, that doesn't add additional
+problems that are unreasonable then we would be happy to consider, and possibly
+switch to said method. This solution must function correctly across all of the
+situation that we expect pip to be used and not mandate some external mechanism
+such as OS packages.
+
+
+Modifications
+=============
+
+* ``setuptools`` is completely stripped to only keep ``pkg_resources``.
+* ``pkg_resources`` has been modified to import its dependencies from
+  ``pip._vendor``, and to use the vendored copy of ``platformdirs``
+  rather than ``appdirs``.
+* ``packaging`` has been modified to import its dependencies from
+  ``pip._vendor``.
+* ``CacheControl`` has been modified to import its dependencies from
+  ``pip._vendor``.
+* ``requests`` has been modified to import its other dependencies from
+  ``pip._vendor`` and to *not* load ``simplejson`` (all platforms) and
+  ``pyopenssl`` (Windows).
+* ``platformdirs`` has been modified to import its submodules from ``pip._vendor.platformdirs``.
+
+Automatic Vendoring
+===================
+
+Vendoring is automated via the `vendoring `_ tool from the content of
+``pip/_vendor/vendor.txt`` and the different patches in
+``tools/vendoring/patches``.
+Launch it via ``vendoring sync . -v`` (requires ``vendoring>=0.2.2``).
+Tool configuration is done via ``pyproject.toml``.
+
+To update the vendored library versions, we have a session defined in ``nox``.
+The command to upgrade everything is::
+
+    nox -s vendoring -- --upgrade-all --skip setuptools
+
+We do not upgrade ``setuptools``, because we only rely on ``pkg_resources``,
+and tracking every ``setuptools`` change is unnecessary for our needs.
+
+
+Managing Local Patches
+======================
+
+The ``vendoring`` tool automatically applies our local patches, but updating,
+the patches sometimes no longer apply cleanly. In that case, the update will
+fail. To resolve this, take the following steps:
+
+1. Revert any incomplete changes in the revendoring branch, to ensure you have
+   a clean starting point.
+2. Run the revendoring of the library with a problem again: ``nox -s vendoring
+   -- --upgrade ``.
+3. This will fail again, but you will have the original source in your working
+   directory. Review the existing patch against the source, and modify the patch
+   to reflect the new version of the source. If you ``git add`` the changes the
+   vendoring made, you can modify the source to reflect the patch file and then
+   generate a new patch with ``git diff``.
+4. Now, revert everything *except* the patch file changes. Leave the modified
+   patch file unstaged but saved in the working tree.
+5. Re-run the vendoring. This time, it should pick up the changed patch file
+   and apply it cleanly. The patch file changes will be committed along with the
+   revendoring, so the new commit should be ready to test and publish as a PR.
+
+
+Debundling
+==========
+
+As mentioned in the rationale, we, the pip team, would prefer it if pip was not
+debundled (other than optionally ``pip/_vendor/requests/cacert.pem``) and that
+pip was left intact. However, if you insist on doing so, we have a
+semi-supported method (that we don't test in our CI) and requires a bit of
+extra work on your end in order to solve the problems described above.
+
+1. Delete everything in ``pip/_vendor/`` **except** for
+   ``pip/_vendor/__init__.py`` and ``pip/_vendor/vendor.txt``.
+2. Generate wheels for each of pip's dependencies (and any of their
+   dependencies) using your patched copies of these libraries. These must be
+   placed somewhere on the filesystem that pip can access (``pip/_vendor`` is
+   the default assumption).
+3. Modify ``pip/_vendor/__init__.py`` so that the ``DEBUNDLED`` variable is
+   ``True``.
+4. Upon installation, the ``INSTALLER`` file in pip's own ``dist-info``
+   directory should be set to something other than ``pip``, so that pip
+   can detect that it wasn't installed using itself.
+5. *(optional)* If you've placed the wheels in a location other than
+   ``pip/_vendor/``, then modify ``pip/_vendor/__init__.py`` so that the
+   ``WHEEL_DIR`` variable points to the location you've placed them.
+6. *(optional)* Update the ``pip_self_version_check`` logic to use the
+   appropriate logic for determining the latest available version of pip and
+   prompt the user with the correct upgrade message.
+
+Note that partial debundling is **NOT** supported. You need to prepare wheels
+for all dependencies for successful debundling.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..34ccb99079139bf230b91f4f7b9303a34de6b717
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/__init__.py
@@ -0,0 +1,117 @@
+"""
+pip._vendor is for vendoring dependencies of pip to prevent needing pip to
+depend on something external.
+
+Files inside of pip._vendor should be considered immutable and should only be
+updated to versions from upstream.
+"""
+from __future__ import absolute_import
+
+import glob
+import os.path
+import sys
+
+# Downstream redistributors which have debundled our dependencies should also
+# patch this value to be true. This will trigger the additional patching
+# to cause things like "six" to be available as pip.
+DEBUNDLED = False
+
+# By default, look in this directory for a bunch of .whl files which we will
+# add to the beginning of sys.path before attempting to import anything. This
+# is done to support downstream re-distributors like Debian and Fedora who
+# wish to create their own Wheels for our dependencies to aid in debundling.
+WHEEL_DIR = os.path.abspath(os.path.dirname(__file__))
+
+
+# Define a small helper function to alias our vendored modules to the real ones
+# if the vendored ones do not exist. This idea of this was taken from
+# https://github.com/kennethreitz/requests/pull/2567.
+def vendored(modulename):
+    vendored_name = "{0}.{1}".format(__name__, modulename)
+
+    try:
+        __import__(modulename, globals(), locals(), level=0)
+    except ImportError:
+        # We can just silently allow import failures to pass here. If we
+        # got to this point it means that ``import pip._vendor.whatever``
+        # failed and so did ``import whatever``. Since we're importing this
+        # upfront in an attempt to alias imports, not erroring here will
+        # just mean we get a regular import error whenever pip *actually*
+        # tries to import one of these modules to use it, which actually
+        # gives us a better error message than we would have otherwise
+        # gotten.
+        pass
+    else:
+        sys.modules[vendored_name] = sys.modules[modulename]
+        base, head = vendored_name.rsplit(".", 1)
+        setattr(sys.modules[base], head, sys.modules[modulename])
+
+
+# If we're operating in a debundled setup, then we want to go ahead and trigger
+# the aliasing of our vendored libraries as well as looking for wheels to add
+# to our sys.path. This will cause all of this code to be a no-op typically
+# however downstream redistributors can enable it in a consistent way across
+# all platforms.
+if DEBUNDLED:
+    # Actually look inside of WHEEL_DIR to find .whl files and add them to the
+    # front of our sys.path.
+    sys.path[:] = glob.glob(os.path.join(WHEEL_DIR, "*.whl")) + sys.path
+
+    # Actually alias all of our vendored dependencies.
+    vendored("cachecontrol")
+    vendored("certifi")
+    vendored("dependency-groups")
+    vendored("distlib")
+    vendored("distro")
+    vendored("packaging")
+    vendored("packaging.version")
+    vendored("packaging.specifiers")
+    vendored("pkg_resources")
+    vendored("platformdirs")
+    vendored("progress")
+    vendored("pyproject_hooks")
+    vendored("requests")
+    vendored("requests.exceptions")
+    vendored("requests.packages")
+    vendored("requests.packages.urllib3")
+    vendored("requests.packages.urllib3._collections")
+    vendored("requests.packages.urllib3.connection")
+    vendored("requests.packages.urllib3.connectionpool")
+    vendored("requests.packages.urllib3.contrib")
+    vendored("requests.packages.urllib3.contrib.ntlmpool")
+    vendored("requests.packages.urllib3.contrib.pyopenssl")
+    vendored("requests.packages.urllib3.exceptions")
+    vendored("requests.packages.urllib3.fields")
+    vendored("requests.packages.urllib3.filepost")
+    vendored("requests.packages.urllib3.packages")
+    vendored("requests.packages.urllib3.packages.ordered_dict")
+    vendored("requests.packages.urllib3.packages.six")
+    vendored("requests.packages.urllib3.packages.ssl_match_hostname")
+    vendored("requests.packages.urllib3.packages.ssl_match_hostname."
+             "_implementation")
+    vendored("requests.packages.urllib3.poolmanager")
+    vendored("requests.packages.urllib3.request")
+    vendored("requests.packages.urllib3.response")
+    vendored("requests.packages.urllib3.util")
+    vendored("requests.packages.urllib3.util.connection")
+    vendored("requests.packages.urllib3.util.request")
+    vendored("requests.packages.urllib3.util.response")
+    vendored("requests.packages.urllib3.util.retry")
+    vendored("requests.packages.urllib3.util.ssl_")
+    vendored("requests.packages.urllib3.util.timeout")
+    vendored("requests.packages.urllib3.util.url")
+    vendored("resolvelib")
+    vendored("rich")
+    vendored("rich.console")
+    vendored("rich.highlighter")
+    vendored("rich.logging")
+    vendored("rich.markup")
+    vendored("rich.progress")
+    vendored("rich.segment")
+    vendored("rich.style")
+    vendored("rich.text")
+    vendored("rich.traceback")
+    if sys.version_info < (3, 11):
+        vendored("tomli")
+    vendored("truststore")
+    vendored("urllib3")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/__pycache__/__init__.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..b411f390f9c6bfff26fb1f12f69e8d89886d854e
Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/__pycache__/__init__.cpython-311.pyc differ
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/bom.cdx.json b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/bom.cdx.json
new file mode 100644
index 0000000000000000000000000000000000000000..7f2d28551c2e226204a00b03ca0da3e8ec783f17
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/bom.cdx.json
@@ -0,0 +1,231 @@
+{
+  "$schema": "http://cyclonedx.org/schema/bom-1.4.schema.json",
+  "bomFormat": "CycloneDX",
+  "components": [
+    {
+      "bom-ref": "bom-ref:pip",
+      "name": "pip",
+      "type": "library"
+    },
+    {
+      "bom-ref": "pkg:pypi/CacheControl@0.14.4",
+      "name": "CacheControl",
+      "purl": "pkg:pypi/CacheControl@0.14.4",
+      "type": "library",
+      "version": "0.14.4"
+    },
+    {
+      "bom-ref": "pkg:pypi/certifi@2026.6.17",
+      "name": "certifi",
+      "purl": "pkg:pypi/certifi@2026.6.17",
+      "type": "library",
+      "version": "2026.6.17"
+    },
+    {
+      "bom-ref": "pkg:pypi/distlib@0.4.2",
+      "name": "distlib",
+      "purl": "pkg:pypi/distlib@0.4.2",
+      "type": "library",
+      "version": "0.4.2"
+    },
+    {
+      "bom-ref": "pkg:pypi/distro@1.9.0",
+      "name": "distro",
+      "purl": "pkg:pypi/distro@1.9.0",
+      "type": "library",
+      "version": "1.9.0"
+    },
+    {
+      "bom-ref": "pkg:pypi/idna@3.18",
+      "name": "idna",
+      "purl": "pkg:pypi/idna@3.18",
+      "type": "library",
+      "version": "3.18"
+    },
+    {
+      "bom-ref": "pkg:pypi/msgpack@1.1.2",
+      "name": "msgpack",
+      "purl": "pkg:pypi/msgpack@1.1.2",
+      "type": "library",
+      "version": "1.1.2"
+    },
+    {
+      "bom-ref": "pkg:pypi/packaging@26.2",
+      "name": "packaging",
+      "purl": "pkg:pypi/packaging@26.2",
+      "type": "library",
+      "version": "26.2"
+    },
+    {
+      "bom-ref": "pkg:pypi/platformdirs@4.10.0",
+      "name": "platformdirs",
+      "purl": "pkg:pypi/platformdirs@4.10.0",
+      "type": "library",
+      "version": "4.10.0"
+    },
+    {
+      "bom-ref": "pkg:pypi/pygments@2.20.0",
+      "name": "pygments",
+      "purl": "pkg:pypi/pygments@2.20.0",
+      "type": "library",
+      "version": "2.20.0"
+    },
+    {
+      "bom-ref": "pkg:pypi/pyproject-hooks@1.2.0",
+      "name": "pyproject-hooks",
+      "purl": "pkg:pypi/pyproject-hooks@1.2.0",
+      "type": "library",
+      "version": "1.2.0"
+    },
+    {
+      "bom-ref": "pkg:pypi/requests@2.34.2",
+      "name": "requests",
+      "purl": "pkg:pypi/requests@2.34.2",
+      "type": "library",
+      "version": "2.34.2"
+    },
+    {
+      "bom-ref": "pkg:pypi/resolvelib@1.2.1",
+      "name": "resolvelib",
+      "purl": "pkg:pypi/resolvelib@1.2.1",
+      "type": "library",
+      "version": "1.2.1"
+    },
+    {
+      "bom-ref": "pkg:pypi/rich@14.2.0",
+      "name": "rich",
+      "purl": "pkg:pypi/rich@14.2.0",
+      "type": "library",
+      "version": "14.2.0"
+    },
+    {
+      "bom-ref": "pkg:pypi/setuptools@70.3.0",
+      "name": "setuptools",
+      "purl": "pkg:pypi/setuptools@70.3.0",
+      "type": "library",
+      "version": "70.3.0"
+    },
+    {
+      "bom-ref": "pkg:pypi/tomli@2.4.1",
+      "name": "tomli",
+      "purl": "pkg:pypi/tomli@2.4.1",
+      "type": "library",
+      "version": "2.4.1"
+    },
+    {
+      "bom-ref": "pkg:pypi/tomli-w@1.2.0",
+      "name": "tomli-w",
+      "purl": "pkg:pypi/tomli-w@1.2.0",
+      "type": "library",
+      "version": "1.2.0"
+    },
+    {
+      "bom-ref": "pkg:pypi/truststore@0.10.4",
+      "name": "truststore",
+      "purl": "pkg:pypi/truststore@0.10.4",
+      "type": "library",
+      "version": "0.10.4"
+    },
+    {
+      "bom-ref": "pkg:pypi/urllib3@2.7.0",
+      "name": "urllib3",
+      "purl": "pkg:pypi/urllib3@2.7.0",
+      "type": "library",
+      "version": "2.7.0"
+    }
+  ],
+  "dependencies": [
+    {
+      "dependsOn": [
+        "pkg:pypi/CacheControl@0.14.4",
+        "pkg:pypi/certifi@2026.6.17",
+        "pkg:pypi/distlib@0.4.2",
+        "pkg:pypi/distro@1.9.0",
+        "pkg:pypi/idna@3.18",
+        "pkg:pypi/msgpack@1.1.2",
+        "pkg:pypi/packaging@26.2",
+        "pkg:pypi/platformdirs@4.10.0",
+        "pkg:pypi/pygments@2.20.0",
+        "pkg:pypi/pyproject-hooks@1.2.0",
+        "pkg:pypi/requests@2.34.2",
+        "pkg:pypi/resolvelib@1.2.1",
+        "pkg:pypi/rich@14.2.0",
+        "pkg:pypi/setuptools@70.3.0",
+        "pkg:pypi/tomli@2.4.1",
+        "pkg:pypi/tomli-w@1.2.0",
+        "pkg:pypi/truststore@0.10.4",
+        "pkg:pypi/urllib3@2.7.0"
+      ],
+      "ref": "bom-ref:pip"
+    },
+    {
+      "ref": "pkg:pypi/CacheControl@0.14.4"
+    },
+    {
+      "ref": "pkg:pypi/certifi@2026.6.17"
+    },
+    {
+      "ref": "pkg:pypi/distlib@0.4.2"
+    },
+    {
+      "ref": "pkg:pypi/distro@1.9.0"
+    },
+    {
+      "ref": "pkg:pypi/idna@3.18"
+    },
+    {
+      "ref": "pkg:pypi/msgpack@1.1.2"
+    },
+    {
+      "ref": "pkg:pypi/packaging@26.2"
+    },
+    {
+      "ref": "pkg:pypi/platformdirs@4.10.0"
+    },
+    {
+      "ref": "pkg:pypi/pygments@2.20.0"
+    },
+    {
+      "ref": "pkg:pypi/pyproject-hooks@1.2.0"
+    },
+    {
+      "ref": "pkg:pypi/requests@2.34.2"
+    },
+    {
+      "ref": "pkg:pypi/resolvelib@1.2.1"
+    },
+    {
+      "ref": "pkg:pypi/rich@14.2.0"
+    },
+    {
+      "ref": "pkg:pypi/setuptools@70.3.0"
+    },
+    {
+      "ref": "pkg:pypi/tomli@2.4.1"
+    },
+    {
+      "ref": "pkg:pypi/tomli-w@1.2.0"
+    },
+    {
+      "ref": "pkg:pypi/truststore@0.10.4"
+    },
+    {
+      "ref": "pkg:pypi/urllib3@2.7.0"
+    }
+  ],
+  "metadata": {
+    "component": {
+      "bom-ref": "bom-ref:pip",
+      "name": "pip",
+      "type": "library"
+    },
+    "tools": [
+      {
+        "name": "vendoring",
+        "version": "1.4.0"
+      }
+    ]
+  },
+  "specVersion": "1.4",
+  "version": 1
+}
\ No newline at end of file
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/LICENSE.txt b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/LICENSE.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d8b3b56d361cfaa04de6304c96c328f27266f74e
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/LICENSE.txt
@@ -0,0 +1,13 @@
+Copyright 2012-2021  Eric Larson
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+    http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..3f8c36f67b39fc2bd4828a107090e9e1a9ae76a7
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/__init__.py
@@ -0,0 +1,32 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+
+"""CacheControl import Interface.
+
+Make it easy to import from cachecontrol without long namespaces.
+"""
+
+import importlib.metadata
+
+from pip._vendor.cachecontrol.adapter import CacheControlAdapter
+from pip._vendor.cachecontrol.controller import CacheController
+from pip._vendor.cachecontrol.wrapper import CacheControl
+
+__author__ = "Eric Larson"
+__email__ = "eric@ionrock.org"
+# pip patch: this won't work when vendored, so just patch it out as it's unused
+# __version__ = importlib.metadata.version("cachecontrol")
+
+__all__ = [
+    "__author__",
+    "__email__",
+    "__version__",
+    "CacheControlAdapter",
+    "CacheController",
+    "CacheControl",
+]
+
+import logging
+
+logging.getLogger(__name__).addHandler(logging.NullHandler())
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/__pycache__/__init__.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/__pycache__/wrapper.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/__pycache__/wrapper.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..e16f0d7b86170d3d242848f49a0a892a3e143892
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/_cmd.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/_cmd.py
new file mode 100644
index 0000000000000000000000000000000000000000..2c84208a5d87511cc4a63dcd9c647ac75c6f4475
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/_cmd.py
@@ -0,0 +1,70 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+from __future__ import annotations
+
+import logging
+from argparse import ArgumentParser
+from typing import TYPE_CHECKING
+
+from pip._vendor import requests
+
+from pip._vendor.cachecontrol.adapter import CacheControlAdapter
+from pip._vendor.cachecontrol.cache import DictCache
+from pip._vendor.cachecontrol.controller import logger
+
+if TYPE_CHECKING:
+    from argparse import Namespace
+
+    from pip._vendor.cachecontrol.controller import CacheController
+
+
+def setup_logging() -> None:
+    logger.setLevel(logging.DEBUG)
+    handler = logging.StreamHandler()
+    logger.addHandler(handler)
+
+
+def get_session() -> requests.Session:
+    adapter = CacheControlAdapter(
+        DictCache(), cache_etags=True, serializer=None, heuristic=None
+    )
+    sess = requests.Session()
+    sess.mount("http://", adapter)
+    sess.mount("https://", adapter)
+
+    sess.cache_controller = adapter.controller  # type: ignore[attr-defined]
+    return sess
+
+
+def get_args() -> Namespace:
+    parser = ArgumentParser()
+    parser.add_argument("url", help="The URL to try and cache")
+    return parser.parse_args()
+
+
+def main() -> None:
+    args = get_args()
+    sess = get_session()
+
+    # Make a request to get a response
+    resp = sess.get(args.url)
+
+    # Turn on logging
+    setup_logging()
+
+    # try setting the cache
+    cache_controller: CacheController = (
+        sess.cache_controller  # type: ignore[attr-defined]
+    )
+    cache_controller.cache_response(resp.request, resp.raw)
+
+    # Now try to get it
+    if cache_controller.cached_request(resp.request):
+        print("Cached!")
+    else:
+        print("Not cached :(")
+
+
+if __name__ == "__main__":
+    main()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/adapter.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/adapter.py
new file mode 100644
index 0000000000000000000000000000000000000000..01f1253629e538b8abe56033a77c34ffbba2931e
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/adapter.py
@@ -0,0 +1,167 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+from __future__ import annotations
+
+import functools
+import weakref
+import zlib
+from typing import TYPE_CHECKING, Any, Collection, Mapping
+
+from pip._vendor.requests.adapters import HTTPAdapter
+
+from pip._vendor.cachecontrol.cache import DictCache
+from pip._vendor.cachecontrol.controller import PERMANENT_REDIRECT_STATUSES, CacheController
+from pip._vendor.cachecontrol.filewrapper import CallbackFileWrapper
+
+if TYPE_CHECKING:
+    from pip._vendor.requests import PreparedRequest, Response
+    from pip._vendor.urllib3 import HTTPResponse
+
+    from pip._vendor.cachecontrol.cache import BaseCache
+    from pip._vendor.cachecontrol.heuristics import BaseHeuristic
+    from pip._vendor.cachecontrol.serialize import Serializer
+
+
+class CacheControlAdapter(HTTPAdapter):
+    invalidating_methods = {"PUT", "PATCH", "DELETE"}
+
+    def __init__(
+        self,
+        cache: BaseCache | None = None,
+        cache_etags: bool = True,
+        controller_class: type[CacheController] | None = None,
+        serializer: Serializer | None = None,
+        heuristic: BaseHeuristic | None = None,
+        cacheable_methods: Collection[str] | None = None,
+        *args: Any,
+        **kw: Any,
+    ) -> None:
+        super().__init__(*args, **kw)
+        self.cache = DictCache() if cache is None else cache
+        self.heuristic = heuristic
+        self.cacheable_methods = cacheable_methods or ("GET",)
+
+        controller_factory = controller_class or CacheController
+        self.controller = controller_factory(
+            self.cache, cache_etags=cache_etags, serializer=serializer
+        )
+
+    def send(
+        self,
+        request: PreparedRequest,
+        stream: bool = False,
+        timeout: None | float | tuple[float, float] | tuple[float, None] = None,
+        verify: bool | str = True,
+        cert: (None | bytes | str | tuple[bytes | str, bytes | str]) = None,
+        proxies: Mapping[str, str] | None = None,
+        cacheable_methods: Collection[str] | None = None,
+    ) -> Response:
+        """
+        Send a request. Use the request information to see if it
+        exists in the cache and cache the response if we need to and can.
+        """
+        cacheable = cacheable_methods or self.cacheable_methods
+        if request.method in cacheable:
+            try:
+                cached_response = self.controller.cached_request(request)
+            except zlib.error:
+                cached_response = None
+            if cached_response:
+                return self.build_response(request, cached_response, from_cache=True)
+
+            # check for etags and add headers if appropriate
+            request.headers.update(self.controller.conditional_headers(request))
+
+        resp = super().send(request, stream, timeout, verify, cert, proxies)
+
+        return resp
+
+    def build_response(  # type: ignore[override]
+        self,
+        request: PreparedRequest,
+        response: HTTPResponse,
+        from_cache: bool = False,
+        cacheable_methods: Collection[str] | None = None,
+    ) -> Response:
+        """
+        Build a response by making a request or using the cache.
+
+        This will end up calling send and returning a potentially
+        cached response
+        """
+        cacheable = cacheable_methods or self.cacheable_methods
+        if not from_cache and request.method in cacheable:
+            # Check for any heuristics that might update headers
+            # before trying to cache.
+            if self.heuristic:
+                response = self.heuristic.apply(response)
+
+            # apply any expiration heuristics
+            if response.status == 304:
+                # We must have sent an ETag request. This could mean
+                # that we've been expired already or that we simply
+                # have an etag. In either case, we want to try and
+                # update the cache if that is the case.
+                cached_response = self.controller.update_cached_response(
+                    request, response
+                )
+
+                if cached_response is not response:
+                    from_cache = True
+
+                # We are done with the server response, read a
+                # possible response body (compliant servers will
+                # not return one, but we cannot be 100% sure) and
+                # release the connection back to the pool.
+                response.read(decode_content=False)
+                response.release_conn()
+
+                response = cached_response
+
+            # We always cache the 301 responses
+            elif int(response.status) in PERMANENT_REDIRECT_STATUSES:
+                self.controller.cache_response(request, response)
+            else:
+                # Wrap the response file with a wrapper that will cache the
+                #   response when the stream has been consumed.
+                response._fp = CallbackFileWrapper(  # type: ignore[assignment]
+                    response._fp,  # type: ignore[arg-type]
+                    functools.partial(
+                        self.controller.cache_response, request, weakref.ref(response)
+                    ),
+                )
+                if response.chunked:
+                    super_update_chunk_length = response.__class__._update_chunk_length
+
+                    def _update_chunk_length(
+                        weak_self: weakref.ReferenceType[HTTPResponse],
+                    ) -> None:
+                        self = weak_self()
+                        if self is None:
+                            return
+
+                        super_update_chunk_length(self)
+                        if self.chunk_left == 0:
+                            self._fp._close()  # type: ignore[union-attr]
+
+                    response._update_chunk_length = functools.partial(  # type: ignore[method-assign]
+                        _update_chunk_length, weakref.ref(response)
+                    )
+
+        resp: Response = super().build_response(request, response)
+
+        # See if we should invalidate the cache.
+        if request.method in self.invalidating_methods and resp.ok:
+            assert request.url is not None
+            cache_url = self.controller.cache_url(request.url)
+            self.cache.delete(cache_url)
+
+        # Give the request a from_cache attr to let people use it
+        resp.from_cache = from_cache  # type: ignore[attr-defined]
+
+        return resp
+
+    def close(self) -> None:
+        self.cache.close()
+        super().close()  # type: ignore[no-untyped-call]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/cache.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/cache.py
new file mode 100644
index 0000000000000000000000000000000000000000..91598e92034fa4f70353fbf7c9c19dc9558e320b
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/cache.py
@@ -0,0 +1,75 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+
+"""
+The cache object API for implementing caches. The default is a thread
+safe in-memory dictionary.
+"""
+
+from __future__ import annotations
+
+from threading import Lock
+from typing import IO, TYPE_CHECKING, MutableMapping
+
+if TYPE_CHECKING:
+    from datetime import datetime
+
+
+class BaseCache:
+    def get(self, key: str) -> bytes | None:
+        raise NotImplementedError()
+
+    def set(
+        self, key: str, value: bytes, expires: int | datetime | None = None
+    ) -> None:
+        raise NotImplementedError()
+
+    def delete(self, key: str) -> None:
+        raise NotImplementedError()
+
+    def close(self) -> None:
+        pass
+
+
+class DictCache(BaseCache):
+    def __init__(self, init_dict: MutableMapping[str, bytes] | None = None) -> None:
+        self.lock = Lock()
+        self.data = init_dict or {}
+
+    def get(self, key: str) -> bytes | None:
+        return self.data.get(key, None)
+
+    def set(
+        self, key: str, value: bytes, expires: int | datetime | None = None
+    ) -> None:
+        with self.lock:
+            self.data.update({key: value})
+
+    def delete(self, key: str) -> None:
+        with self.lock:
+            if key in self.data:
+                self.data.pop(key)
+
+
+class SeparateBodyBaseCache(BaseCache):
+    """
+    In this variant, the body is not stored mixed in with the metadata, but is
+    passed in (as a bytes-like object) in a separate call to ``set_body()``.
+
+    That is, the expected interaction pattern is::
+
+        cache.set(key, serialized_metadata)
+        cache.set_body(key)
+
+    Similarly, the body should be loaded separately via ``get_body()``.
+    """
+
+    def set_body(self, key: str, body: bytes) -> None:
+        raise NotImplementedError()
+
+    def get_body(self, key: str) -> IO[bytes] | None:
+        """
+        Return the body as file-like object.
+        """
+        raise NotImplementedError()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..24ff469ff98baf5a4457ba6a34330be310058cb4
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/__init__.py
@@ -0,0 +1,8 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+
+from pip._vendor.cachecontrol.caches.file_cache import FileCache, SeparateBodyFileCache
+from pip._vendor.cachecontrol.caches.redis_cache import RedisCache
+
+__all__ = ["FileCache", "SeparateBodyFileCache", "RedisCache"]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/__pycache__/__init__.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/__pycache__/redis_cache.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/__pycache__/redis_cache.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/file_cache.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/file_cache.py
new file mode 100644
index 0000000000000000000000000000000000000000..45c632c7f72700c72e60651acb1e09c836ef2c31
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/file_cache.py
@@ -0,0 +1,145 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+from __future__ import annotations
+
+import hashlib
+import os
+import tempfile
+from textwrap import dedent
+from typing import IO, TYPE_CHECKING
+from pathlib import Path
+
+from pip._vendor.cachecontrol.cache import BaseCache, SeparateBodyBaseCache
+from pip._vendor.cachecontrol.controller import CacheController
+
+if TYPE_CHECKING:
+    from datetime import datetime
+
+    from filelock import BaseFileLock
+
+
+class _FileCacheMixin:
+    """Shared implementation for both FileCache variants."""
+
+    def __init__(
+        self,
+        directory: str | Path,
+        forever: bool = False,
+        filemode: int = 0o0600,
+        dirmode: int = 0o0700,
+        lock_class: type[BaseFileLock] | None = None,
+    ) -> None:
+        try:
+            if lock_class is None:
+                from filelock import FileLock
+
+                lock_class = FileLock
+        except ImportError:
+            notice = dedent(
+                """
+            NOTE: In order to use the FileCache you must have
+            filelock installed. You can install it via pip:
+              pip install cachecontrol[filecache]
+            """
+            )
+            raise ImportError(notice)
+
+        self.directory = directory
+        self.forever = forever
+        self.filemode = filemode
+        self.dirmode = dirmode
+        self.lock_class = lock_class
+
+    @staticmethod
+    def encode(x: str) -> str:
+        return hashlib.sha224(x.encode()).hexdigest()
+
+    def _fn(self, name: str) -> str:
+        # NOTE: This method should not change as some may depend on it.
+        #       See: https://github.com/ionrock/cachecontrol/issues/63
+        hashed = self.encode(name)
+        parts = list(hashed[:5]) + [hashed]
+        return os.path.join(self.directory, *parts)
+
+    def get(self, key: str) -> bytes | None:
+        name = self._fn(key)
+        try:
+            with open(name, "rb") as fh:
+                return fh.read()
+
+        except FileNotFoundError:
+            return None
+
+    def set(
+        self, key: str, value: bytes, expires: int | datetime | None = None
+    ) -> None:
+        name = self._fn(key)
+        self._write(name, value)
+
+    def _write(self, path: str, data: bytes) -> None:
+        """
+        Safely write the data to the given path.
+        """
+        # Make sure the directory exists
+        dirname = os.path.dirname(path)
+        os.makedirs(dirname, self.dirmode, exist_ok=True)
+
+        with self.lock_class(path + ".lock"):
+            # Write our actual file
+            (fd, name) = tempfile.mkstemp(dir=dirname)
+            try:
+                os.write(fd, data)
+            finally:
+                os.close(fd)
+            os.chmod(name, self.filemode)
+            os.replace(name, path)
+
+    def _delete(self, key: str, suffix: str) -> None:
+        name = self._fn(key) + suffix
+        if not self.forever:
+            try:
+                os.remove(name)
+            except FileNotFoundError:
+                pass
+
+
+class FileCache(_FileCacheMixin, BaseCache):
+    """
+    Traditional FileCache: body is stored in memory, so not suitable for large
+    downloads.
+    """
+
+    def delete(self, key: str) -> None:
+        self._delete(key, "")
+
+
+class SeparateBodyFileCache(_FileCacheMixin, SeparateBodyBaseCache):
+    """
+    Memory-efficient FileCache: body is stored in a separate file, reducing
+    peak memory usage.
+    """
+
+    def get_body(self, key: str) -> IO[bytes] | None:
+        name = self._fn(key) + ".body"
+        try:
+            return open(name, "rb")
+        except FileNotFoundError:
+            return None
+
+    def set_body(self, key: str, body: bytes) -> None:
+        name = self._fn(key) + ".body"
+        self._write(name, body)
+
+    def delete(self, key: str) -> None:
+        self._delete(key, "")
+        self._delete(key, ".body")
+
+
+def url_to_file_path(url: str, filecache: FileCache) -> str:
+    """Return the file cache path based on the URL.
+
+    This does not ensure the file exists!
+    """
+    key = CacheController.cache_url(url)
+    return filecache._fn(key)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/redis_cache.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/redis_cache.py
new file mode 100644
index 0000000000000000000000000000000000000000..f4f68c47bf6e82b3faea0bd558852585f5f50a81
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/caches/redis_cache.py
@@ -0,0 +1,48 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+from __future__ import annotations
+
+
+from datetime import datetime, timezone
+from typing import TYPE_CHECKING
+
+from pip._vendor.cachecontrol.cache import BaseCache
+
+if TYPE_CHECKING:
+    from redis import Redis
+
+
+class RedisCache(BaseCache):
+    def __init__(self, conn: Redis[bytes]) -> None:
+        self.conn = conn
+
+    def get(self, key: str) -> bytes | None:
+        return self.conn.get(key)
+
+    def set(
+        self, key: str, value: bytes, expires: int | datetime | None = None
+    ) -> None:
+        if not expires:
+            self.conn.set(key, value)
+        elif isinstance(expires, datetime):
+            now_utc = datetime.now(timezone.utc)
+            if expires.tzinfo is None:
+                now_utc = now_utc.replace(tzinfo=None)
+            delta = expires - now_utc
+            self.conn.setex(key, int(delta.total_seconds()), value)
+        else:
+            self.conn.setex(key, expires, value)
+
+    def delete(self, key: str) -> None:
+        self.conn.delete(key)
+
+    def clear(self) -> None:
+        """Helper for clearing all the keys in a database. Use with
+        caution!"""
+        for key in self.conn.keys():
+            self.conn.delete(key)
+
+    def close(self) -> None:
+        """Redis uses connection pooling, no need to close the connection."""
+        pass
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/controller.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/controller.py
new file mode 100644
index 0000000000000000000000000000000000000000..0bf380136aea0e32c90fe5a07c8f4991d3ba990f
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/controller.py
@@ -0,0 +1,511 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+
+"""
+The httplib2 algorithms ported for use with requests.
+"""
+
+from __future__ import annotations
+
+import calendar
+import logging
+import re
+import time
+import weakref
+from email.utils import parsedate_tz
+from typing import TYPE_CHECKING, Collection, Mapping
+
+from pip._vendor.requests.structures import CaseInsensitiveDict
+
+from pip._vendor.cachecontrol.cache import DictCache, SeparateBodyBaseCache
+from pip._vendor.cachecontrol.serialize import Serializer
+
+if TYPE_CHECKING:
+    from typing import Literal
+
+    from pip._vendor.requests import PreparedRequest
+    from pip._vendor.urllib3 import HTTPResponse
+
+    from pip._vendor.cachecontrol.cache import BaseCache
+
+logger = logging.getLogger(__name__)
+
+URI = re.compile(r"^(([^:/?#]+):)?(//([^/?#]*))?([^?#]*)(\?([^#]*))?(#(.*))?")
+
+PERMANENT_REDIRECT_STATUSES = (301, 308)
+
+
+def parse_uri(uri: str) -> tuple[str, str, str, str, str]:
+    """Parses a URI using the regex given in Appendix B of RFC 3986.
+
+    (scheme, authority, path, query, fragment) = parse_uri(uri)
+    """
+    match = URI.match(uri)
+    assert match is not None
+    groups = match.groups()
+    return (groups[1], groups[3], groups[4], groups[6], groups[8])
+
+
+class CacheController:
+    """An interface to see if request should cached or not."""
+
+    def __init__(
+        self,
+        cache: BaseCache | None = None,
+        cache_etags: bool = True,
+        serializer: Serializer | None = None,
+        status_codes: Collection[int] | None = None,
+    ):
+        self.cache = DictCache() if cache is None else cache
+        self.cache_etags = cache_etags
+        self.serializer = serializer or Serializer()
+        self.cacheable_status_codes = status_codes or (200, 203, 300, 301, 308)
+
+    @classmethod
+    def _urlnorm(cls, uri: str) -> str:
+        """Normalize the URL to create a safe key for the cache"""
+        (scheme, authority, path, query, fragment) = parse_uri(uri)
+        if not scheme or not authority:
+            raise Exception("Only absolute URIs are allowed. uri = %s" % uri)
+
+        scheme = scheme.lower()
+        authority = authority.lower()
+
+        if not path:
+            path = "/"
+
+        # Could do syntax based normalization of the URI before
+        # computing the digest. See Section 6.2.2 of Std 66.
+        request_uri = query and "?".join([path, query]) or path
+        defrag_uri = scheme + "://" + authority + request_uri
+
+        return defrag_uri
+
+    @classmethod
+    def cache_url(cls, uri: str) -> str:
+        return cls._urlnorm(uri)
+
+    def parse_cache_control(self, headers: Mapping[str, str]) -> dict[str, int | None]:
+        known_directives = {
+            # https://tools.ietf.org/html/rfc7234#section-5.2
+            "max-age": (int, True),
+            "max-stale": (int, False),
+            "min-fresh": (int, True),
+            "no-cache": (None, False),
+            "no-store": (None, False),
+            "no-transform": (None, False),
+            "only-if-cached": (None, False),
+            "must-revalidate": (None, False),
+            "public": (None, False),
+            "private": (None, False),
+            "proxy-revalidate": (None, False),
+            "s-maxage": (int, True),
+        }
+
+        cc_headers = headers.get("cache-control", headers.get("Cache-Control", ""))
+
+        retval: dict[str, int | None] = {}
+
+        for cc_directive in cc_headers.split(","):
+            if not cc_directive.strip():
+                continue
+
+            parts = cc_directive.split("=", 1)
+            directive = parts[0].strip()
+
+            try:
+                typ, required = known_directives[directive]
+            except KeyError:
+                logger.debug("Ignoring unknown cache-control directive: %s", directive)
+                continue
+
+            if not typ or not required:
+                retval[directive] = None
+            if typ:
+                try:
+                    retval[directive] = typ(parts[1].strip())
+                except IndexError:
+                    if required:
+                        logger.debug(
+                            "Missing value for cache-control " "directive: %s",
+                            directive,
+                        )
+                except ValueError:
+                    logger.debug(
+                        "Invalid value for cache-control directive " "%s, must be %s",
+                        directive,
+                        typ.__name__,
+                    )
+
+        return retval
+
+    def _load_from_cache(self, request: PreparedRequest) -> HTTPResponse | None:
+        """
+        Load a cached response, or return None if it's not available.
+        """
+        # We do not support caching of partial content: so if the request contains a
+        # Range header then we don't want to load anything from the cache.
+        if "Range" in request.headers:
+            return None
+
+        cache_url = request.url
+        assert cache_url is not None
+        cache_data = self.cache.get(cache_url)
+        if cache_data is None:
+            logger.debug("No cache entry available")
+            return None
+
+        if isinstance(self.cache, SeparateBodyBaseCache):
+            body_file = self.cache.get_body(cache_url)
+        else:
+            body_file = None
+
+        result = self.serializer.loads(request, cache_data, body_file)
+        if result is None:
+            logger.warning("Cache entry deserialization failed, entry ignored")
+        return result
+
+    def cached_request(self, request: PreparedRequest) -> HTTPResponse | Literal[False]:
+        """
+        Return a cached response if it exists in the cache, otherwise
+        return False.
+        """
+        assert request.url is not None
+        cache_url = self.cache_url(request.url)
+        logger.debug('Looking up "%s" in the cache', cache_url)
+        cc = self.parse_cache_control(request.headers)
+
+        # Bail out if the request insists on fresh data
+        if "no-cache" in cc:
+            logger.debug('Request header has "no-cache", cache bypassed')
+            return False
+
+        if "max-age" in cc and cc["max-age"] == 0:
+            logger.debug('Request header has "max_age" as 0, cache bypassed')
+            return False
+
+        # Check whether we can load the response from the cache:
+        resp = self._load_from_cache(request)
+        if not resp:
+            return False
+
+        # If we have a cached permanent redirect, return it immediately. We
+        # don't need to test our response for other headers b/c it is
+        # intrinsically "cacheable" as it is Permanent.
+        #
+        # See:
+        #   https://tools.ietf.org/html/rfc7231#section-6.4.2
+        #
+        # Client can try to refresh the value by repeating the request
+        # with cache busting headers as usual (ie no-cache).
+        if int(resp.status) in PERMANENT_REDIRECT_STATUSES:
+            msg = (
+                "Returning cached permanent redirect response "
+                "(ignoring date and etag information)"
+            )
+            logger.debug(msg)
+            return resp
+
+        headers: CaseInsensitiveDict[str] = CaseInsensitiveDict(resp.headers)
+        if not headers or "date" not in headers:
+            if "etag" not in headers:
+                # Without date or etag, the cached response can never be used
+                # and should be deleted.
+                logger.debug("Purging cached response: no date or etag")
+                self.cache.delete(cache_url)
+            logger.debug("Ignoring cached response: no date")
+            return False
+
+        now = time.time()
+        time_tuple = parsedate_tz(headers["date"])
+        assert time_tuple is not None
+        date = calendar.timegm(time_tuple[:6])
+        current_age = max(0, now - date)
+        logger.debug("Current age based on date: %i", current_age)
+
+        # TODO: There is an assumption that the result will be a
+        #       urllib3 response object. This may not be best since we
+        #       could probably avoid instantiating or constructing the
+        #       response until we know we need it.
+        resp_cc = self.parse_cache_control(headers)
+
+        # determine freshness
+        freshness_lifetime = 0
+
+        # Check the max-age pragma in the cache control header
+        max_age = resp_cc.get("max-age")
+        if max_age is not None:
+            freshness_lifetime = max_age
+            logger.debug("Freshness lifetime from max-age: %i", freshness_lifetime)
+
+        # If there isn't a max-age, check for an expires header
+        elif "expires" in headers:
+            expires = parsedate_tz(headers["expires"])
+            if expires is not None:
+                expire_time = calendar.timegm(expires[:6]) - date
+                freshness_lifetime = max(0, expire_time)
+                logger.debug("Freshness lifetime from expires: %i", freshness_lifetime)
+
+        # Determine if we are setting freshness limit in the
+        # request. Note, this overrides what was in the response.
+        max_age = cc.get("max-age")
+        if max_age is not None:
+            freshness_lifetime = max_age
+            logger.debug(
+                "Freshness lifetime from request max-age: %i", freshness_lifetime
+            )
+
+        min_fresh = cc.get("min-fresh")
+        if min_fresh is not None:
+            # adjust our current age by our min fresh
+            current_age += min_fresh
+            logger.debug("Adjusted current age from min-fresh: %i", current_age)
+
+        # Return entry if it is fresh enough
+        if freshness_lifetime > current_age:
+            logger.debug('The response is "fresh", returning cached response')
+            logger.debug("%i > %i", freshness_lifetime, current_age)
+            return resp
+
+        # we're not fresh. If we don't have an Etag, clear it out
+        if "etag" not in headers:
+            logger.debug('The cached response is "stale" with no etag, purging')
+            self.cache.delete(cache_url)
+
+        # return the original handler
+        return False
+
+    def conditional_headers(self, request: PreparedRequest) -> dict[str, str]:
+        resp = self._load_from_cache(request)
+        new_headers = {}
+
+        if resp:
+            headers: CaseInsensitiveDict[str] = CaseInsensitiveDict(resp.headers)
+
+            if "etag" in headers:
+                new_headers["If-None-Match"] = headers["ETag"]
+
+            if "last-modified" in headers:
+                new_headers["If-Modified-Since"] = headers["Last-Modified"]
+
+        return new_headers
+
+    def _cache_set(
+        self,
+        cache_url: str,
+        request: PreparedRequest,
+        response: HTTPResponse,
+        body: bytes | None = None,
+        expires_time: int | None = None,
+    ) -> None:
+        """
+        Store the data in the cache.
+        """
+        if isinstance(self.cache, SeparateBodyBaseCache):
+            # We pass in the body separately; just put a placeholder empty
+            # string in the metadata.
+            self.cache.set(
+                cache_url,
+                self.serializer.dumps(request, response, b""),
+                expires=expires_time,
+            )
+            # body is None can happen when, for example, we're only updating
+            # headers, as is the case in update_cached_response().
+            if body is not None:
+                self.cache.set_body(cache_url, body)
+        else:
+            self.cache.set(
+                cache_url,
+                self.serializer.dumps(request, response, body),
+                expires=expires_time,
+            )
+
+    def cache_response(
+        self,
+        request: PreparedRequest,
+        response_or_ref: HTTPResponse | weakref.ReferenceType[HTTPResponse],
+        body: bytes | None = None,
+        status_codes: Collection[int] | None = None,
+    ) -> None:
+        """
+        Algorithm for caching requests.
+
+        This assumes a requests Response object.
+        """
+        if isinstance(response_or_ref, weakref.ReferenceType):
+            response = response_or_ref()
+            if response is None:
+                # The weakref can be None only in case the user used streamed request
+                # and did not consume or close it, and holds no reference to requests.Response.
+                # In such case, we don't want to cache the response.
+                return
+        else:
+            response = response_or_ref
+
+        # From httplib2: Don't cache 206's since we aren't going to
+        #                handle byte range requests
+        cacheable_status_codes = status_codes or self.cacheable_status_codes
+        if response.status not in cacheable_status_codes:
+            logger.debug(
+                "Status code %s not in %s", response.status, cacheable_status_codes
+            )
+            return
+
+        response_headers: CaseInsensitiveDict[str] = CaseInsensitiveDict(
+            response.headers
+        )
+
+        if "date" in response_headers:
+            time_tuple = parsedate_tz(response_headers["date"])
+            assert time_tuple is not None
+            date = calendar.timegm(time_tuple[:6])
+        else:
+            date = 0
+
+        # If we've been given a body, our response has a Content-Length, that
+        # Content-Length is valid then we can check to see if the body we've
+        # been given matches the expected size, and if it doesn't we'll just
+        # skip trying to cache it.
+        if (
+            body is not None
+            and "content-length" in response_headers
+            and response_headers["content-length"].isdigit()
+            and int(response_headers["content-length"]) != len(body)
+        ):
+            return
+
+        cc_req = self.parse_cache_control(request.headers)
+        cc = self.parse_cache_control(response_headers)
+
+        assert request.url is not None
+        cache_url = self.cache_url(request.url)
+        logger.debug('Updating cache with response from "%s"', cache_url)
+
+        # Delete it from the cache if we happen to have it stored there
+        no_store = False
+        if "no-store" in cc:
+            no_store = True
+            logger.debug('Response header has "no-store"')
+        if "no-store" in cc_req:
+            no_store = True
+            logger.debug('Request header has "no-store"')
+        if no_store and self.cache.get(cache_url):
+            logger.debug('Purging existing cache entry to honor "no-store"')
+            self.cache.delete(cache_url)
+        if no_store:
+            return
+
+        # https://tools.ietf.org/html/rfc7234#section-4.1:
+        # A Vary header field-value of "*" always fails to match.
+        # Storing such a response leads to a deserialization warning
+        # during cache lookup and is not allowed to ever be served,
+        # so storing it can be avoided.
+        if "*" in response_headers.get("vary", ""):
+            logger.debug('Response header has "Vary: *"')
+            return
+
+        # If we've been given an etag, then keep the response
+        if self.cache_etags and "etag" in response_headers:
+            expires_time = 0
+            if response_headers.get("expires"):
+                expires = parsedate_tz(response_headers["expires"])
+                if expires is not None:
+                    expires_time = calendar.timegm(expires[:6]) - date
+
+            expires_time = max(expires_time, 14 * 86400)
+
+            logger.debug(f"etag object cached for {expires_time} seconds")
+            logger.debug("Caching due to etag")
+            self._cache_set(cache_url, request, response, body, expires_time)
+
+        # Add to the cache any permanent redirects. We do this before looking
+        # that the Date headers.
+        elif int(response.status) in PERMANENT_REDIRECT_STATUSES:
+            logger.debug("Caching permanent redirect")
+            self._cache_set(cache_url, request, response, b"")
+
+        # Add to the cache if the response headers demand it. If there
+        # is no date header then we can't do anything about expiring
+        # the cache.
+        elif "date" in response_headers:
+            time_tuple = parsedate_tz(response_headers["date"])
+            assert time_tuple is not None
+            date = calendar.timegm(time_tuple[:6])
+            # cache when there is a max-age > 0
+            max_age = cc.get("max-age")
+            if max_age is not None and max_age > 0:
+                logger.debug("Caching b/c date exists and max-age > 0")
+                expires_time = max_age
+                self._cache_set(
+                    cache_url,
+                    request,
+                    response,
+                    body,
+                    expires_time,
+                )
+
+            # If the request can expire, it means we should cache it
+            # in the meantime.
+            elif "expires" in response_headers:
+                if response_headers["expires"]:
+                    expires = parsedate_tz(response_headers["expires"])
+                    if expires is not None:
+                        expires_time = calendar.timegm(expires[:6]) - date
+                    else:
+                        expires_time = None
+
+                    logger.debug(
+                        "Caching b/c of expires header. expires in {} seconds".format(
+                            expires_time
+                        )
+                    )
+                    self._cache_set(
+                        cache_url,
+                        request,
+                        response,
+                        body,
+                        expires_time,
+                    )
+
+    def update_cached_response(
+        self, request: PreparedRequest, response: HTTPResponse
+    ) -> HTTPResponse:
+        """On a 304 we will get a new set of headers that we want to
+        update our cached value with, assuming we have one.
+
+        This should only ever be called when we've sent an ETag and
+        gotten a 304 as the response.
+        """
+        assert request.url is not None
+        cache_url = self.cache_url(request.url)
+        cached_response = self._load_from_cache(request)
+
+        if not cached_response:
+            # we didn't have a cached response
+            return response
+
+        # Lets update our headers with the headers from the new request:
+        # http://tools.ietf.org/html/draft-ietf-httpbis-p4-conditional-26#section-4.1
+        #
+        # The server isn't supposed to send headers that would make
+        # the cached body invalid. But... just in case, we'll be sure
+        # to strip out ones we know that might be problematic due to
+        # typical assumptions.
+        excluded_headers = ["content-length"]
+
+        cached_response.headers.update(
+            {
+                k: v
+                for k, v in response.headers.items()
+                if k.lower() not in excluded_headers
+            }
+        )
+
+        # we want a 200 b/c we have content via the cache
+        cached_response.status = 200
+
+        # update our cache
+        self._cache_set(cache_url, request, cached_response)
+
+        return cached_response
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/filewrapper.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/filewrapper.py
new file mode 100644
index 0000000000000000000000000000000000000000..6569fb5cd88d922c67acc18bd8b32275f8ad2645
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/filewrapper.py
@@ -0,0 +1,121 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+from __future__ import annotations
+
+import mmap
+from tempfile import NamedTemporaryFile
+from typing import TYPE_CHECKING, Any, Callable
+
+if TYPE_CHECKING:
+    from collections.abc import Buffer
+    from http.client import HTTPResponse
+
+
+class CallbackFileWrapper:
+    """
+    Small wrapper around a fp object which will tee everything read into a
+    buffer, and when that file is closed it will execute a callback with the
+    contents of that buffer.
+
+    All attributes are proxied to the underlying file object.
+
+    This class uses members with a double underscore (__) leading prefix so as
+    not to accidentally shadow an attribute.
+
+    The data is stored in a temporary file until it is all available.  As long
+    as the temporary files directory is disk-based (sometimes it's a
+    memory-backed-``tmpfs`` on Linux), data will be unloaded to disk if memory
+    pressure is high.  For small files the disk usually won't be used at all,
+    it'll all be in the filesystem memory cache, so there should be no
+    performance impact.
+    """
+
+    def __init__(
+        self, fp: HTTPResponse, callback: Callable[[Buffer], None] | None
+    ) -> None:
+        self.__buf = NamedTemporaryFile("rb+", delete=True)
+        self.__fp = fp
+        self.__callback = callback
+
+    def __getattr__(self, name: str) -> Any:
+        # The vagaries of garbage collection means that self.__fp is
+        # not always set.  By using __getattribute__ and the private
+        # name[0] allows looking up the attribute value and raising an
+        # AttributeError when it doesn't exist. This stop things from
+        # infinitely recursing calls to getattr in the case where
+        # self.__fp hasn't been set.
+        #
+        # [0] https://docs.python.org/2/reference/expressions.html#atom-identifiers
+        fp = self.__getattribute__("_CallbackFileWrapper__fp")
+        return getattr(fp, name)
+
+    def __is_fp_closed(self) -> bool:
+        try:
+            return self.__fp.fp is None
+
+        except AttributeError:
+            pass
+
+        try:
+            closed: bool = self.__fp.closed
+            return closed
+
+        except AttributeError:
+            pass
+
+        # We just don't cache it then.
+        # TODO: Add some logging here...
+        return False
+
+    def _close(self) -> None:
+        result: Buffer
+        if self.__callback:
+            if self.__buf.tell() == 0:
+                # Empty file:
+                result = b""
+            else:
+                # Return the data without actually loading it into memory,
+                # relying on Python's buffer API and mmap(). mmap() just gives
+                # a view directly into the filesystem's memory cache, so it
+                # doesn't result in duplicate memory use.
+                self.__buf.seek(0, 0)
+                result = memoryview(
+                    mmap.mmap(self.__buf.fileno(), 0, access=mmap.ACCESS_READ)
+                )
+            self.__callback(result)
+
+        # We assign this to None here, because otherwise we can get into
+        # really tricky problems where the CPython interpreter dead locks
+        # because the callback is holding a reference to something which
+        # has a __del__ method. Setting this to None breaks the cycle
+        # and allows the garbage collector to do it's thing normally.
+        self.__callback = None
+
+        # Closing the temporary file releases memory and frees disk space.
+        # Important when caching big files.
+        self.__buf.close()
+
+    def read(self, amt: int | None = None) -> bytes:
+        data: bytes = self.__fp.read(amt)
+        if data:
+            # We may be dealing with b'', a sign that things are over:
+            # it's passed e.g. after we've already closed self.__buf.
+            self.__buf.write(data)
+        if self.__is_fp_closed():
+            self._close()
+
+        return data
+
+    def _safe_read(self, amt: int) -> bytes:
+        data: bytes = self.__fp._safe_read(amt)  # type: ignore[attr-defined]
+        if amt == 2 and data == b"\r\n":
+            # urllib executes this read to toss the CRLF at the end
+            # of the chunk.
+            return data
+
+        self.__buf.write(data)
+        if self.__is_fp_closed():
+            self._close()
+
+        return data
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/heuristics.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/heuristics.py
new file mode 100644
index 0000000000000000000000000000000000000000..b778c4f3f7ad5e22fca433be02a824446fb47ff5
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/heuristics.py
@@ -0,0 +1,157 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+from __future__ import annotations
+
+import calendar
+import time
+from datetime import datetime, timedelta, timezone
+from email.utils import formatdate, parsedate, parsedate_tz
+from typing import TYPE_CHECKING, Any, Mapping
+
+if TYPE_CHECKING:
+    from pip._vendor.urllib3 import HTTPResponse
+
+TIME_FMT = "%a, %d %b %Y %H:%M:%S GMT"
+
+
+def expire_after(delta: timedelta, date: datetime | None = None) -> datetime:
+    date = date or datetime.now(timezone.utc)
+    return date + delta
+
+
+def datetime_to_header(dt: datetime) -> str:
+    return formatdate(calendar.timegm(dt.timetuple()))
+
+
+class BaseHeuristic:
+    def warning(self, response: HTTPResponse) -> str | None:
+        """
+        Return a valid 1xx warning header value describing the cache
+        adjustments.
+
+        The response is provided too allow warnings like 113
+        http://tools.ietf.org/html/rfc7234#section-5.5.4 where we need
+        to explicitly say response is over 24 hours old.
+        """
+        return '110 - "Response is Stale"'
+
+    def update_headers(self, response: HTTPResponse) -> dict[str, str]:
+        """Update the response headers with any new headers.
+
+        NOTE: This SHOULD always include some Warning header to
+              signify that the response was cached by the client, not
+              by way of the provided headers.
+        """
+        return {}
+
+    def apply(self, response: HTTPResponse) -> HTTPResponse:
+        updated_headers = self.update_headers(response)
+
+        if updated_headers:
+            response.headers.update(updated_headers)
+            warning_header_value = self.warning(response)
+            if warning_header_value is not None:
+                response.headers.update({"Warning": warning_header_value})
+
+        return response
+
+
+class OneDayCache(BaseHeuristic):
+    """
+    Cache the response by providing an expires 1 day in the
+    future.
+    """
+
+    def update_headers(self, response: HTTPResponse) -> dict[str, str]:
+        headers = {}
+
+        if "expires" not in response.headers:
+            date = parsedate(response.headers["date"])
+            expires = expire_after(
+                timedelta(days=1),
+                date=datetime(*date[:6], tzinfo=timezone.utc),  # type: ignore[index,misc]
+            )
+            headers["expires"] = datetime_to_header(expires)
+            headers["cache-control"] = "public"
+        return headers
+
+
+class ExpiresAfter(BaseHeuristic):
+    """
+    Cache **all** requests for a defined time period.
+    """
+
+    def __init__(self, **kw: Any) -> None:
+        self.delta = timedelta(**kw)
+
+    def update_headers(self, response: HTTPResponse) -> dict[str, str]:
+        expires = expire_after(self.delta)
+        return {"expires": datetime_to_header(expires), "cache-control": "public"}
+
+    def warning(self, response: HTTPResponse) -> str | None:
+        tmpl = "110 - Automatically cached for %s. Response might be stale"
+        return tmpl % self.delta
+
+
+class LastModified(BaseHeuristic):
+    """
+    If there is no Expires header already, fall back on Last-Modified
+    using the heuristic from
+    http://tools.ietf.org/html/rfc7234#section-4.2.2
+    to calculate a reasonable value.
+
+    Firefox also does something like this per
+    https://developer.mozilla.org/en-US/docs/Web/HTTP/Caching_FAQ
+    http://lxr.mozilla.org/mozilla-release/source/netwerk/protocol/http/nsHttpResponseHead.cpp#397
+    Unlike mozilla we limit this to 24-hr.
+    """
+
+    cacheable_by_default_statuses = {
+        200,
+        203,
+        204,
+        206,
+        300,
+        301,
+        404,
+        405,
+        410,
+        414,
+        501,
+    }
+
+    def update_headers(self, resp: HTTPResponse) -> dict[str, str]:
+        headers: Mapping[str, str] = resp.headers
+
+        if "expires" in headers:
+            return {}
+
+        if "cache-control" in headers and headers["cache-control"] != "public":
+            return {}
+
+        if resp.status not in self.cacheable_by_default_statuses:
+            return {}
+
+        if "date" not in headers or "last-modified" not in headers:
+            return {}
+
+        time_tuple = parsedate_tz(headers["date"])
+        assert time_tuple is not None
+        date = calendar.timegm(time_tuple[:6])
+        last_modified = parsedate(headers["last-modified"])
+        if last_modified is None:
+            return {}
+
+        now = time.time()
+        current_age = max(0, now - date)
+        delta = date - calendar.timegm(last_modified)
+        freshness_lifetime = max(0, min(delta / 10, 24 * 3600))
+        if freshness_lifetime <= current_age:
+            return {}
+
+        expires = date + freshness_lifetime
+        return {"expires": time.strftime(TIME_FMT, time.gmtime(expires))}
+
+    def warning(self, resp: HTTPResponse) -> str | None:
+        return None
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/py.typed b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/py.typed
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/serialize.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/serialize.py
new file mode 100644
index 0000000000000000000000000000000000000000..a49487a1493f9bbd160645ea4e491b4ac54a19a9
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/serialize.py
@@ -0,0 +1,146 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+from __future__ import annotations
+
+import io
+from typing import IO, TYPE_CHECKING, Any, Mapping, cast
+
+from pip._vendor import msgpack
+from pip._vendor.requests.structures import CaseInsensitiveDict
+from pip._vendor.urllib3 import HTTPResponse
+
+if TYPE_CHECKING:
+    from pip._vendor.requests import PreparedRequest
+
+
+class Serializer:
+    serde_version = "4"
+
+    def dumps(
+        self,
+        request: PreparedRequest,
+        response: HTTPResponse,
+        body: bytes | None = None,
+    ) -> bytes:
+        response_headers: CaseInsensitiveDict[str] = CaseInsensitiveDict(
+            response.headers
+        )
+
+        if body is None:
+            # When a body isn't passed in, we'll read the response. We
+            # also update the response with a new file handler to be
+            # sure it acts as though it was never read.
+            body = response.read(decode_content=False)
+            response._fp = io.BytesIO(body)  # type: ignore[assignment]
+            response.length_remaining = len(body)
+
+        data = {
+            "response": {
+                "body": body,  # Empty bytestring if body is stored separately
+                "headers": {str(k): str(v) for k, v in response.headers.items()},
+                "status": response.status,
+                "version": response.version,
+                "reason": str(response.reason),
+                "decode_content": response.decode_content,
+            }
+        }
+
+        # Construct our vary headers
+        data["vary"] = {}
+        if "vary" in response_headers:
+            varied_headers = response_headers["vary"].split(",")
+            for header in varied_headers:
+                header = str(header).strip()
+                header_value = request.headers.get(header, None)
+                if header_value is not None:
+                    header_value = str(header_value)
+                data["vary"][header] = header_value
+
+        return b",".join([f"cc={self.serde_version}".encode(), self.serialize(data)])
+
+    def serialize(self, data: dict[str, Any]) -> bytes:
+        return cast(bytes, msgpack.dumps(data, use_bin_type=True))
+
+    def loads(
+        self,
+        request: PreparedRequest,
+        data: bytes,
+        body_file: IO[bytes] | None = None,
+    ) -> HTTPResponse | None:
+        # Short circuit if we've been given an empty set of data
+        if not data:
+            return None
+
+        # Previous versions of this library supported other serialization
+        # formats, but these have all been removed.
+        if not data.startswith(f"cc={self.serde_version},".encode()):
+            return None
+
+        data = data[5:]
+        return self._loads_v4(request, data, body_file)
+
+    def prepare_response(
+        self,
+        request: PreparedRequest,
+        cached: Mapping[str, Any],
+        body_file: IO[bytes] | None = None,
+    ) -> HTTPResponse | None:
+        """Verify our vary headers match and construct a real urllib3
+        HTTPResponse object.
+        """
+        # Special case the '*' Vary value as it means we cannot actually
+        # determine if the cached response is suitable for this request.
+        # This case is also handled in the controller code when creating
+        # a cache entry, but is left here for backwards compatibility.
+        if "*" in cached.get("vary", {}):
+            return None
+
+        # Ensure that the Vary headers for the cached response match our
+        # request
+        for header, value in cached.get("vary", {}).items():
+            if request.headers.get(header, None) != value:
+                return None
+
+        body_raw = cached["response"].pop("body")
+
+        headers: CaseInsensitiveDict[str] = CaseInsensitiveDict(
+            data=cached["response"]["headers"]
+        )
+        if headers.get("transfer-encoding", "") == "chunked":
+            headers.pop("transfer-encoding")
+
+        cached["response"]["headers"] = headers
+
+        try:
+            body: IO[bytes]
+            if body_file is None:
+                body = io.BytesIO(body_raw)
+            else:
+                body = body_file
+        except TypeError:
+            # This can happen if cachecontrol serialized to v1 format (pickle)
+            # using Python 2. A Python 2 str(byte string) will be unpickled as
+            # a Python 3 str (unicode string), which will cause the above to
+            # fail with:
+            #
+            #     TypeError: 'str' does not support the buffer interface
+            body = io.BytesIO(body_raw.encode("utf8"))
+
+        # Discard any `strict` parameter serialized by older version of cachecontrol.
+        cached["response"].pop("strict", None)
+
+        return HTTPResponse(body=body, preload_content=False, **cached["response"])
+
+    def _loads_v4(
+        self,
+        request: PreparedRequest,
+        data: bytes,
+        body_file: IO[bytes] | None = None,
+    ) -> HTTPResponse | None:
+        try:
+            cached = msgpack.loads(data, raw=False)
+        except ValueError:
+            return None
+
+        return self.prepare_response(request, cached, body_file)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/wrapper.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/wrapper.py
new file mode 100644
index 0000000000000000000000000000000000000000..f618bc363f12fb416b048e2a86cbddb6082874d6
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/cachecontrol/wrapper.py
@@ -0,0 +1,43 @@
+# SPDX-FileCopyrightText: 2015 Eric Larson
+#
+# SPDX-License-Identifier: Apache-2.0
+from __future__ import annotations
+
+from typing import TYPE_CHECKING, Collection
+
+from pip._vendor.cachecontrol.adapter import CacheControlAdapter
+from pip._vendor.cachecontrol.cache import DictCache
+
+if TYPE_CHECKING:
+    from pip._vendor import requests
+
+    from pip._vendor.cachecontrol.cache import BaseCache
+    from pip._vendor.cachecontrol.controller import CacheController
+    from pip._vendor.cachecontrol.heuristics import BaseHeuristic
+    from pip._vendor.cachecontrol.serialize import Serializer
+
+
+def CacheControl(
+    sess: requests.Session,
+    cache: BaseCache | None = None,
+    cache_etags: bool = True,
+    serializer: Serializer | None = None,
+    heuristic: BaseHeuristic | None = None,
+    controller_class: type[CacheController] | None = None,
+    adapter_class: type[CacheControlAdapter] | None = None,
+    cacheable_methods: Collection[str] | None = None,
+) -> requests.Session:
+    cache = DictCache() if cache is None else cache
+    adapter_class = adapter_class or CacheControlAdapter
+    adapter = adapter_class(
+        cache,
+        cache_etags=cache_etags,
+        serializer=serializer,
+        heuristic=heuristic,
+        controller_class=controller_class,
+        cacheable_methods=cacheable_methods,
+    )
+    sess.mount("http://", adapter)
+    sess.mount("https://", adapter)
+
+    return sess
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/LICENSE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/LICENSE
new file mode 100644
index 0000000000000000000000000000000000000000..62b076cdee58ec8f34034141ba0befd9015b0c7e
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/LICENSE
@@ -0,0 +1,20 @@
+This package contains a modified version of ca-bundle.crt:
+
+ca-bundle.crt -- Bundle of CA Root Certificates
+
+This is a bundle of X.509 certificates of public Certificate Authorities
+(CA). These were automatically extracted from Mozilla's root certificates
+file (certdata.txt).  This file can be found in the mozilla source tree:
+https://hg.mozilla.org/mozilla-central/file/tip/security/nss/lib/ckfw/builtins/certdata.txt
+It contains the certificates in PEM format and therefore
+can be directly used with curl / libcurl / php_curl, or with
+an Apache+mod_ssl webserver for SSL client authentication.
+Just configure this file as the SSLCACertificateFile.#
+
+***** BEGIN LICENSE BLOCK *****
+This Source Code Form is subject to the terms of the Mozilla Public License,
+v. 2.0. If a copy of the MPL was not distributed with this file, You can obtain
+one at http://mozilla.org/MPL/2.0/.
+
+***** END LICENSE BLOCK *****
+@(#) $RCSfile: certdata.txt,v $ $Revision: 1.80 $ $Date: 2011/11/03 15:11:58 $
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..ed9a74b7a0f6de9b21e0f79f4c4799952123a78b
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__init__.py
@@ -0,0 +1,4 @@
+from .core import contents, where
+
+__all__ = ["contents", "where"]
+__version__ = "2026.06.17"
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__main__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__main__.py
new file mode 100644
index 0000000000000000000000000000000000000000..00376349e69ad8b9dbf401cddc34055951e4b02e
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__main__.py
@@ -0,0 +1,12 @@
+import argparse
+
+from pip._vendor.certifi import contents, where
+
+parser = argparse.ArgumentParser()
+parser.add_argument("-c", "--contents", action="store_true")
+args = parser.parse_args()
+
+if args.contents:
+    print(contents())
+else:
+    print(where())
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__pycache__/__init__.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..354dcf8845844f1f07a603fff466d76966038f94
Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__pycache__/__init__.cpython-311.pyc differ
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__pycache__/__main__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__pycache__/__main__.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..4b32b6a770fe7549f57d6a3399241d0bfbd5e782
Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__pycache__/__main__.cpython-311.pyc differ
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__pycache__/core.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__pycache__/core.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..deb13dd5654876bd35e630a1c9766eb1fa765c30
Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/__pycache__/core.cpython-311.pyc differ
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/cacert.pem b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/cacert.pem
new file mode 100644
index 0000000000000000000000000000000000000000..1c2dbfeb6802cb9f18360d7e922a26cd30648e88
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/cacert.pem
@@ -0,0 +1,3863 @@
+
+# Issuer: CN=COMODO ECC Certification Authority O=COMODO CA Limited
+# Subject: CN=COMODO ECC Certification Authority O=COMODO CA Limited
+# Label: "COMODO ECC Certification Authority"
+# Serial: 41578283867086692638256921589707938090
+# MD5 Fingerprint: 7c:62:ff:74:9d:31:53:5e:68:4a:d5:78:aa:1e:bf:23
+# SHA1 Fingerprint: 9f:74:4e:9f:2b:4d:ba:ec:0f:31:2c:50:b6:56:3b:8e:2d:93:c3:11
+# SHA256 Fingerprint: 17:93:92:7a:06:14:54:97:89:ad:ce:2f:8f:34:f7:f0:b6:6d:0f:3a:e3:a3:b8:4d:21:ec:15:db:ba:4f:ad:c7
+-----BEGIN CERTIFICATE-----
+MIICiTCCAg+gAwIBAgIQH0evqmIAcFBUTAGem2OZKjAKBggqhkjOPQQDAzCBhTEL
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+-----END CERTIFICATE-----
+
+# Issuer: CN=NetLock Arany (Class Gold) F\u0151tan\xfas\xedtv\xe1ny O=NetLock Kft. OU=Tan\xfas\xedtv\xe1nykiad\xf3k (Certification Services)
+# Subject: CN=NetLock Arany (Class Gold) F\u0151tan\xfas\xedtv\xe1ny O=NetLock Kft. OU=Tan\xfas\xedtv\xe1nykiad\xf3k (Certification Services)
+# Label: "NetLock Arany (Class Gold) F\u0151tan\xfas\xedtv\xe1ny"
+# Serial: 80544274841616
+# MD5 Fingerprint: c5:a1:b7:ff:73:dd:d6:d7:34:32:18:df:fc:3c:ad:88
+# SHA1 Fingerprint: 06:08:3f:59:3f:15:a1:04:a0:69:a4:6b:a9:03:d0:06:b7:97:09:91
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=Microsec e-Szigno Root CA 2009 O=Microsec Ltd.
+# Subject: CN=Microsec e-Szigno Root CA 2009 O=Microsec Ltd.
+# Label: "Microsec e-Szigno Root CA 2009"
+# Serial: 14014712776195784473
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+
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+# Label: "GlobalSign Root CA - R3"
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+# Subject: CN=Go Daddy Root Certificate Authority - G2 O=GoDaddy.com, Inc.
+# Label: "Go Daddy Root Certificate Authority - G2"
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Starfield Root Certificate Authority - G2 O=Starfield Technologies, Inc.
+# Subject: CN=Starfield Root Certificate Authority - G2 O=Starfield Technologies, Inc.
+# Label: "Starfield Root Certificate Authority - G2"
+# Serial: 0
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Starfield Services Root Certificate Authority - G2 O=Starfield Technologies, Inc.
+# Subject: CN=Starfield Services Root Certificate Authority - G2 O=Starfield Technologies, Inc.
+# Label: "Starfield Services Root Certificate Authority - G2"
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+-----BEGIN CERTIFICATE-----
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+# Label: "Certum Trusted Network CA"
+# Serial: 279744
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=TWCA Root Certification Authority O=TAIWAN-CA OU=Root CA
+# Subject: CN=TWCA Root Certification Authority O=TAIWAN-CA OU=Root CA
+# Label: "TWCA Root Certification Authority"
+# Serial: 1
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+-----BEGIN CERTIFICATE-----
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+# Issuer: O=SECOM Trust Systems CO.,LTD. OU=Security Communication RootCA2
+# Subject: O=SECOM Trust Systems CO.,LTD. OU=Security Communication RootCA2
+# Label: "Security Communication RootCA2"
+# Serial: 0
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Actalis Authentication Root CA O=Actalis S.p.A./03358520967
+# Subject: CN=Actalis Authentication Root CA O=Actalis S.p.A./03358520967
+# Label: "Actalis Authentication Root CA"
+# Serial: 6271844772424770508
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=Buypass Class 2 Root CA O=Buypass AS-983163327
+# Subject: CN=Buypass Class 2 Root CA O=Buypass AS-983163327
+# Label: "Buypass Class 2 Root CA"
+# Serial: 2
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=Buypass Class 3 Root CA O=Buypass AS-983163327
+# Subject: CN=Buypass Class 3 Root CA O=Buypass AS-983163327
+# Label: "Buypass Class 3 Root CA"
+# Serial: 2
+# MD5 Fingerprint: 3d:3b:18:9e:2c:64:5a:e8:d5:88:ce:0e:f9:37:c2:ec
+# SHA1 Fingerprint: da:fa:f7:fa:66:84:ec:06:8f:14:50:bd:c7:c2:81:a5:bc:a9:64:57
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=T-TeleSec GlobalRoot Class 3 O=T-Systems Enterprise Services GmbH OU=T-Systems Trust Center
+# Subject: CN=T-TeleSec GlobalRoot Class 3 O=T-Systems Enterprise Services GmbH OU=T-Systems Trust Center
+# Label: "T-TeleSec GlobalRoot Class 3"
+# Serial: 1
+# MD5 Fingerprint: ca:fb:40:a8:4e:39:92:8a:1d:fe:8e:2f:c4:27:ea:ef
+# SHA1 Fingerprint: 55:a6:72:3e:cb:f2:ec:cd:c3:23:74:70:19:9d:2a:be:11:e3:81:d1
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=D-TRUST Root Class 3 CA 2 2009 O=D-Trust GmbH
+# Subject: CN=D-TRUST Root Class 3 CA 2 2009 O=D-Trust GmbH
+# Label: "D-TRUST Root Class 3 CA 2 2009"
+# Serial: 623603
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=D-TRUST Root Class 3 CA 2 EV 2009 O=D-Trust GmbH
+# Subject: CN=D-TRUST Root Class 3 CA 2 EV 2009 O=D-Trust GmbH
+# Label: "D-TRUST Root Class 3 CA 2 EV 2009"
+# Serial: 623604
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=CA Disig Root R2 O=Disig a.s.
+# Subject: CN=CA Disig Root R2 O=Disig a.s.
+# Label: "CA Disig Root R2"
+# Serial: 10572350602393338211
+# MD5 Fingerprint: 26:01:fb:d8:27:a7:17:9a:45:54:38:1a:43:01:3b:03
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+-----BEGIN CERTIFICATE-----
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+# Subject: CN=ACCVRAIZ1 O=ACCV OU=PKIACCV
+# Label: "ACCVRAIZ1"
+# Serial: 6828503384748696800
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=TWCA Global Root CA O=TAIWAN-CA OU=Root CA
+# Subject: CN=TWCA Global Root CA O=TAIWAN-CA OU=Root CA
+# Label: "TWCA Global Root CA"
+# Serial: 3262
+# MD5 Fingerprint: f9:03:7e:cf:e6:9e:3c:73:7a:2a:90:07:69:ff:2b:96
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=T-TeleSec GlobalRoot Class 2 O=T-Systems Enterprise Services GmbH OU=T-Systems Trust Center
+# Subject: CN=T-TeleSec GlobalRoot Class 2 O=T-Systems Enterprise Services GmbH OU=T-Systems Trust Center
+# Label: "T-TeleSec GlobalRoot Class 2"
+# Serial: 1
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Atos TrustedRoot 2011 O=Atos
+# Subject: CN=Atos TrustedRoot 2011 O=Atos
+# Label: "Atos TrustedRoot 2011"
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=QuoVadis Root CA 1 G3 O=QuoVadis Limited
+# Subject: CN=QuoVadis Root CA 1 G3 O=QuoVadis Limited
+# Label: "QuoVadis Root CA 1 G3"
+# Serial: 687049649626669250736271037606554624078720034195
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=QuoVadis Root CA 2 G3 O=QuoVadis Limited
+# Subject: CN=QuoVadis Root CA 2 G3 O=QuoVadis Limited
+# Label: "QuoVadis Root CA 2 G3"
+# Serial: 390156079458959257446133169266079962026824725800
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=QuoVadis Root CA 3 G3 O=QuoVadis Limited
+# Subject: CN=QuoVadis Root CA 3 G3 O=QuoVadis Limited
+# Label: "QuoVadis Root CA 3 G3"
+# Serial: 268090761170461462463995952157327242137089239581
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=DigiCert Assured ID Root G2 O=DigiCert Inc OU=www.digicert.com
+# Subject: CN=DigiCert Assured ID Root G2 O=DigiCert Inc OU=www.digicert.com
+# Label: "DigiCert Assured ID Root G2"
+# Serial: 15385348160840213938643033620894905419
+# MD5 Fingerprint: 92:38:b9:f8:63:24:82:65:2c:57:33:e6:fe:81:8f:9d
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=DigiCert Assured ID Root G3 O=DigiCert Inc OU=www.digicert.com
+# Subject: CN=DigiCert Assured ID Root G3 O=DigiCert Inc OU=www.digicert.com
+# Label: "DigiCert Assured ID Root G3"
+# Serial: 15459312981008553731928384953135426796
+# MD5 Fingerprint: 7c:7f:65:31:0c:81:df:8d:ba:3e:99:e2:5c:ad:6e:fb
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=DigiCert Global Root G2 O=DigiCert Inc OU=www.digicert.com
+# Subject: CN=DigiCert Global Root G2 O=DigiCert Inc OU=www.digicert.com
+# Label: "DigiCert Global Root G2"
+# Serial: 4293743540046975378534879503202253541
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=DigiCert Global Root G3 O=DigiCert Inc OU=www.digicert.com
+# Subject: CN=DigiCert Global Root G3 O=DigiCert Inc OU=www.digicert.com
+# Label: "DigiCert Global Root G3"
+# Serial: 7089244469030293291760083333884364146
+# MD5 Fingerprint: f5:5d:a4:50:a5:fb:28:7e:1e:0f:0d:cc:96:57:56:ca
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=DigiCert Trusted Root G4 O=DigiCert Inc OU=www.digicert.com
+# Subject: CN=DigiCert Trusted Root G4 O=DigiCert Inc OU=www.digicert.com
+# Label: "DigiCert Trusted Root G4"
+# Serial: 7451500558977370777930084869016614236
+# MD5 Fingerprint: 78:f2:fc:aa:60:1f:2f:b4:eb:c9:37:ba:53:2e:75:49
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=COMODO RSA Certification Authority O=COMODO CA Limited
+# Subject: CN=COMODO RSA Certification Authority O=COMODO CA Limited
+# Label: "COMODO RSA Certification Authority"
+# Serial: 101909084537582093308941363524873193117
+# MD5 Fingerprint: 1b:31:b0:71:40:36:cc:14:36:91:ad:c4:3e:fd:ec:18
+# SHA1 Fingerprint: af:e5:d2:44:a8:d1:19:42:30:ff:47:9f:e2:f8:97:bb:cd:7a:8c:b4
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=USERTrust RSA Certification Authority O=The USERTRUST Network
+# Subject: CN=USERTrust RSA Certification Authority O=The USERTRUST Network
+# Label: "USERTrust RSA Certification Authority"
+# Serial: 2645093764781058787591871645665788717
+# MD5 Fingerprint: 1b:fe:69:d1:91:b7:19:33:a3:72:a8:0f:e1:55:e5:b5
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=USERTrust ECC Certification Authority O=The USERTRUST Network
+# Subject: CN=USERTrust ECC Certification Authority O=The USERTRUST Network
+# Label: "USERTrust ECC Certification Authority"
+# Serial: 123013823720199481456569720443997572134
+# MD5 Fingerprint: fa:68:bc:d9:b5:7f:ad:fd:c9:1d:06:83:28:cc:24:c1
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=GlobalSign O=GlobalSign OU=GlobalSign ECC Root CA - R5
+# Subject: CN=GlobalSign O=GlobalSign OU=GlobalSign ECC Root CA - R5
+# Label: "GlobalSign ECC Root CA - R5"
+# Serial: 32785792099990507226680698011560947931244
+# MD5 Fingerprint: 9f:ad:3b:1c:02:1e:8a:ba:17:74:38:81:0c:a2:bc:08
+# SHA1 Fingerprint: 1f:24:c6:30:cd:a4:18:ef:20:69:ff:ad:4f:dd:5f:46:3a:1b:69:aa
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=IdenTrust Commercial Root CA 1 O=IdenTrust
+# Subject: CN=IdenTrust Commercial Root CA 1 O=IdenTrust
+# Label: "IdenTrust Commercial Root CA 1"
+# Serial: 13298821034946342390520003877796839426
+# MD5 Fingerprint: b3:3e:77:73:75:ee:a0:d3:e3:7e:49:63:49:59:bb:c7
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=IdenTrust Public Sector Root CA 1 O=IdenTrust
+# Subject: CN=IdenTrust Public Sector Root CA 1 O=IdenTrust
+# Label: "IdenTrust Public Sector Root CA 1"
+# Serial: 13298821034946342390521976156843933698
+# MD5 Fingerprint: 37:06:a5:b0:fc:89:9d:ba:f4:6b:8c:1a:64:cd:d5:ba
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=CFCA EV ROOT O=China Financial Certification Authority
+# Subject: CN=CFCA EV ROOT O=China Financial Certification Authority
+# Label: "CFCA EV ROOT"
+# Serial: 407555286
+# MD5 Fingerprint: 74:e1:b6:ed:26:7a:7a:44:30:33:94:ab:7b:27:81:30
+# SHA1 Fingerprint: e2:b8:29:4b:55:84:ab:6b:58:c2:90:46:6c:ac:3f:b8:39:8f:84:83
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Certum Trusted Network CA 2 O=Unizeto Technologies S.A. OU=Certum Certification Authority
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+# Label: "Certum Trusted Network CA 2"
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+# Issuer: CN=Hellenic Academic and Research Institutions RootCA 2015 O=Hellenic Academic and Research Institutions Cert. Authority
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+# Label: "Hellenic Academic and Research Institutions RootCA 2015"
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+# Issuer: CN=Hellenic Academic and Research Institutions ECC RootCA 2015 O=Hellenic Academic and Research Institutions Cert. Authority
+# Subject: CN=Hellenic Academic and Research Institutions ECC RootCA 2015 O=Hellenic Academic and Research Institutions Cert. Authority
+# Label: "Hellenic Academic and Research Institutions ECC RootCA 2015"
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=ISRG Root X1 O=Internet Security Research Group
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+# Label: "ISRG Root X1"
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: O=FNMT-RCM OU=AC RAIZ FNMT-RCM
+# Subject: O=FNMT-RCM OU=AC RAIZ FNMT-RCM
+# Label: "AC RAIZ FNMT-RCM"
+# Serial: 485876308206448804701554682760554759
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=Amazon Root CA 1 O=Amazon
+# Subject: CN=Amazon Root CA 1 O=Amazon
+# Label: "Amazon Root CA 1"
+# Serial: 143266978916655856878034712317230054538369994
+# MD5 Fingerprint: 43:c6:bf:ae:ec:fe:ad:2f:18:c6:88:68:30:fc:c8:e6
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=Amazon Root CA 2 O=Amazon
+# Subject: CN=Amazon Root CA 2 O=Amazon
+# Label: "Amazon Root CA 2"
+# Serial: 143266982885963551818349160658925006970653239
+# MD5 Fingerprint: c8:e5:8d:ce:a8:42:e2:7a:c0:2a:5c:7c:9e:26:bf:66
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=Amazon Root CA 3 O=Amazon
+# Subject: CN=Amazon Root CA 3 O=Amazon
+# Label: "Amazon Root CA 3"
+# Serial: 143266986699090766294700635381230934788665930
+# MD5 Fingerprint: a0:d4:ef:0b:f7:b5:d8:49:95:2a:ec:f5:c4:fc:81:87
+# SHA1 Fingerprint: 0d:44:dd:8c:3c:8c:1a:1a:58:75:64:81:e9:0f:2e:2a:ff:b3:d2:6e
+# SHA256 Fingerprint: 18:ce:6c:fe:7b:f1:4e:60:b2:e3:47:b8:df:e8:68:cb:31:d0:2e:bb:3a:da:27:15:69:f5:03:43:b4:6d:b3:a4
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=Amazon Root CA 4 O=Amazon
+# Subject: CN=Amazon Root CA 4 O=Amazon
+# Label: "Amazon Root CA 4"
+# Serial: 143266989758080763974105200630763877849284878
+# MD5 Fingerprint: 89:bc:27:d5:eb:17:8d:06:6a:69:d5:fd:89:47:b4:cd
+# SHA1 Fingerprint: f6:10:84:07:d6:f8:bb:67:98:0c:c2:e2:44:c2:eb:ae:1c:ef:63:be
+# SHA256 Fingerprint: e3:5d:28:41:9e:d0:20:25:cf:a6:90:38:cd:62:39:62:45:8d:a5:c6:95:fb:de:a3:c2:2b:0b:fb:25:89:70:92
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=TUBITAK Kamu SM SSL Kok Sertifikasi - Surum 1 O=Turkiye Bilimsel ve Teknolojik Arastirma Kurumu - TUBITAK OU=Kamu Sertifikasyon Merkezi - Kamu SM
+# Subject: CN=TUBITAK Kamu SM SSL Kok Sertifikasi - Surum 1 O=Turkiye Bilimsel ve Teknolojik Arastirma Kurumu - TUBITAK OU=Kamu Sertifikasyon Merkezi - Kamu SM
+# Label: "TUBITAK Kamu SM SSL Kok Sertifikasi - Surum 1"
+# Serial: 1
+# MD5 Fingerprint: dc:00:81:dc:69:2f:3e:2f:b0:3b:f6:3d:5a:91:8e:49
+# SHA1 Fingerprint: 31:43:64:9b:ec:ce:27:ec:ed:3a:3f:0b:8f:0d:e4:e8:91:dd:ee:ca
+# SHA256 Fingerprint: 46:ed:c3:68:90:46:d5:3a:45:3f:b3:10:4a:b8:0d:ca:ec:65:8b:26:60:ea:16:29:dd:7e:86:79:90:64:87:16
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=GDCA TrustAUTH R5 ROOT O=GUANG DONG CERTIFICATE AUTHORITY CO.,LTD.
+# Subject: CN=GDCA TrustAUTH R5 ROOT O=GUANG DONG CERTIFICATE AUTHORITY CO.,LTD.
+# Label: "GDCA TrustAUTH R5 ROOT"
+# Serial: 9009899650740120186
+# MD5 Fingerprint: 63:cc:d9:3d:34:35:5c:6f:53:a3:e2:08:70:48:1f:b4
+# SHA1 Fingerprint: 0f:36:38:5b:81:1a:25:c3:9b:31:4e:83:ca:e9:34:66:70:cc:74:b4
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=SSL.com Root Certification Authority RSA O=SSL Corporation
+# Subject: CN=SSL.com Root Certification Authority RSA O=SSL Corporation
+# Label: "SSL.com Root Certification Authority RSA"
+# Serial: 8875640296558310041
+# MD5 Fingerprint: 86:69:12:c0:70:f1:ec:ac:ac:c2:d5:bc:a5:5b:a1:29
+# SHA1 Fingerprint: b7:ab:33:08:d1:ea:44:77:ba:14:80:12:5a:6f:bd:a9:36:49:0c:bb
+# SHA256 Fingerprint: 85:66:6a:56:2e:e0:be:5c:e9:25:c1:d8:89:0a:6f:76:a8:7e:c1:6d:4d:7d:5f:29:ea:74:19:cf:20:12:3b:69
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=SSL.com Root Certification Authority ECC O=SSL Corporation
+# Subject: CN=SSL.com Root Certification Authority ECC O=SSL Corporation
+# Label: "SSL.com Root Certification Authority ECC"
+# Serial: 8495723813297216424
+# MD5 Fingerprint: 2e:da:e4:39:7f:9c:8f:37:d1:70:9f:26:17:51:3a:8e
+# SHA1 Fingerprint: c3:19:7c:39:24:e6:54:af:1b:c4:ab:20:95:7a:e2:c3:0e:13:02:6a
+# SHA256 Fingerprint: 34:17:bb:06:cc:60:07:da:1b:96:1c:92:0b:8a:b4:ce:3f:ad:82:0e:4a:a3:0b:9a:cb:c4:a7:4e:bd:ce:bc:65
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=SSL.com EV Root Certification Authority RSA R2 O=SSL Corporation
+# Subject: CN=SSL.com EV Root Certification Authority RSA R2 O=SSL Corporation
+# Label: "SSL.com EV Root Certification Authority RSA R2"
+# Serial: 6248227494352943350
+# MD5 Fingerprint: e1:1e:31:58:1a:ae:54:53:02:f6:17:6a:11:7b:4d:95
+# SHA1 Fingerprint: 74:3a:f0:52:9b:d0:32:a0:f4:4a:83:cd:d4:ba:a9:7b:7c:2e:c4:9a
+# SHA256 Fingerprint: 2e:7b:f1:6c:c2:24:85:a7:bb:e2:aa:86:96:75:07:61:b0:ae:39:be:3b:2f:e9:d0:cc:6d:4e:f7:34:91:42:5c
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=SSL.com EV Root Certification Authority ECC O=SSL Corporation
+# Subject: CN=SSL.com EV Root Certification Authority ECC O=SSL Corporation
+# Label: "SSL.com EV Root Certification Authority ECC"
+# Serial: 3182246526754555285
+# MD5 Fingerprint: 59:53:22:65:83:42:01:54:c0:ce:42:b9:5a:7c:f2:90
+# SHA1 Fingerprint: 4c:dd:51:a3:d1:f5:20:32:14:b0:c6:c5:32:23:03:91:c7:46:42:6d
+# SHA256 Fingerprint: 22:a2:c1:f7:bd:ed:70:4c:c1:e7:01:b5:f4:08:c3:10:88:0f:e9:56:b5:de:2a:4a:44:f9:9c:87:3a:25:a7:c8
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=GlobalSign O=GlobalSign OU=GlobalSign Root CA - R6
+# Subject: CN=GlobalSign O=GlobalSign OU=GlobalSign Root CA - R6
+# Label: "GlobalSign Root CA - R6"
+# Serial: 1417766617973444989252670301619537
+# MD5 Fingerprint: 4f:dd:07:e4:d4:22:64:39:1e:0c:37:42:ea:d1:c6:ae
+# SHA1 Fingerprint: 80:94:64:0e:b5:a7:a1:ca:11:9c:1f:dd:d5:9f:81:02:63:a7:fb:d1
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=OISTE WISeKey Global Root GC CA O=WISeKey OU=OISTE Foundation Endorsed
+# Subject: CN=OISTE WISeKey Global Root GC CA O=WISeKey OU=OISTE Foundation Endorsed
+# Label: "OISTE WISeKey Global Root GC CA"
+# Serial: 44084345621038548146064804565436152554
+# MD5 Fingerprint: a9:d6:b9:2d:2f:93:64:f8:a5:69:ca:91:e9:68:07:23
+# SHA1 Fingerprint: e0:11:84:5e:34:de:be:88:81:b9:9c:f6:16:26:d1:96:1f:c3:b9:31
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=UCA Global G2 Root O=UniTrust
+# Subject: CN=UCA Global G2 Root O=UniTrust
+# Label: "UCA Global G2 Root"
+# Serial: 124779693093741543919145257850076631279
+# MD5 Fingerprint: 80:fe:f0:c4:4a:f0:5c:62:32:9f:1c:ba:78:a9:50:f8
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=UCA Extended Validation Root O=UniTrust
+# Subject: CN=UCA Extended Validation Root O=UniTrust
+# Label: "UCA Extended Validation Root"
+# Serial: 106100277556486529736699587978573607008
+# MD5 Fingerprint: a1:f3:5f:43:c6:34:9b:da:bf:8c:7e:05:53:ad:96:e2
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=Certigna Root CA O=Dhimyotis OU=0002 48146308100036
+# Subject: CN=Certigna Root CA O=Dhimyotis OU=0002 48146308100036
+# Label: "Certigna Root CA"
+# Serial: 269714418870597844693661054334862075617
+# MD5 Fingerprint: 0e:5c:30:62:27:eb:5b:bc:d7:ae:62:ba:e9:d5:df:77
+# SHA1 Fingerprint: 2d:0d:52:14:ff:9e:ad:99:24:01:74:20:47:6e:6c:85:27:27:f5:43
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=emSign Root CA - G1 O=eMudhra Technologies Limited OU=emSign PKI
+# Subject: CN=emSign Root CA - G1 O=eMudhra Technologies Limited OU=emSign PKI
+# Label: "emSign Root CA - G1"
+# Serial: 235931866688319308814040
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=emSign ECC Root CA - G3 O=eMudhra Technologies Limited OU=emSign PKI
+# Subject: CN=emSign ECC Root CA - G3 O=eMudhra Technologies Limited OU=emSign PKI
+# Label: "emSign ECC Root CA - G3"
+# Serial: 287880440101571086945156
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=emSign Root CA - C1 O=eMudhra Inc OU=emSign PKI
+# Subject: CN=emSign Root CA - C1 O=eMudhra Inc OU=emSign PKI
+# Label: "emSign Root CA - C1"
+# Serial: 825510296613316004955058
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=emSign ECC Root CA - C3 O=eMudhra Inc OU=emSign PKI
+# Subject: CN=emSign ECC Root CA - C3 O=eMudhra Inc OU=emSign PKI
+# Label: "emSign ECC Root CA - C3"
+# Serial: 582948710642506000014504
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+# SHA1 Fingerprint: b6:af:43:c2:9b:81:53:7d:f6:ef:6b:c3:1f:1f:60:15:0c:ee:48:66
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Hongkong Post Root CA 3 O=Hongkong Post
+# Subject: CN=Hongkong Post Root CA 3 O=Hongkong Post
+# Label: "Hongkong Post Root CA 3"
+# Serial: 46170865288971385588281144162979347873371282084
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=Microsoft ECC Root Certificate Authority 2017 O=Microsoft Corporation
+# Subject: CN=Microsoft ECC Root Certificate Authority 2017 O=Microsoft Corporation
+# Label: "Microsoft ECC Root Certificate Authority 2017"
+# Serial: 136839042543790627607696632466672567020
+# MD5 Fingerprint: dd:a1:03:e6:4a:93:10:d1:bf:f0:19:42:cb:fe:ed:67
+# SHA1 Fingerprint: 99:9a:64:c3:7f:f4:7d:9f:ab:95:f1:47:69:89:14:60:ee:c4:c3:c5
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=Microsoft RSA Root Certificate Authority 2017 O=Microsoft Corporation
+# Subject: CN=Microsoft RSA Root Certificate Authority 2017 O=Microsoft Corporation
+# Label: "Microsoft RSA Root Certificate Authority 2017"
+# Serial: 40975477897264996090493496164228220339
+# MD5 Fingerprint: 10:ff:00:ff:cf:c9:f8:c7:7a:c0:ee:35:8e:c9:0f:47
+# SHA1 Fingerprint: 73:a5:e6:4a:3b:ff:83:16:ff:0e:dc:cc:61:8a:90:6e:4e:ae:4d:74
+# SHA256 Fingerprint: c7:41:f7:0f:4b:2a:8d:88:bf:2e:71:c1:41:22:ef:53:ef:10:eb:a0:cf:a5:e6:4c:fa:20:f4:18:85:30:73:e0
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=e-Szigno Root CA 2017 O=Microsec Ltd.
+# Subject: CN=e-Szigno Root CA 2017 O=Microsec Ltd.
+# Label: "e-Szigno Root CA 2017"
+# Serial: 411379200276854331539784714
+# MD5 Fingerprint: de:1f:f6:9e:84:ae:a7:b4:21:ce:1e:58:7d:d1:84:98
+# SHA1 Fingerprint: 89:d4:83:03:4f:9e:9a:48:80:5f:72:37:d4:a9:a6:ef:cb:7c:1f:d1
+# SHA256 Fingerprint: be:b0:0b:30:83:9b:9b:c3:2c:32:e4:44:79:05:95:06:41:f2:64:21:b1:5e:d0:89:19:8b:51:8a:e2:ea:1b:99
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: O=CERTSIGN SA OU=certSIGN ROOT CA G2
+# Subject: O=CERTSIGN SA OU=certSIGN ROOT CA G2
+# Label: "certSIGN Root CA G2"
+# Serial: 313609486401300475190
+# MD5 Fingerprint: 8c:f1:75:8a:c6:19:cf:94:b7:f7:65:20:87:c3:97:c7
+# SHA1 Fingerprint: 26:f9:93:b4:ed:3d:28:27:b0:b9:4b:a7:e9:15:1d:a3:8d:92:e5:32
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=NAVER Global Root Certification Authority O=NAVER BUSINESS PLATFORM Corp.
+# Subject: CN=NAVER Global Root Certification Authority O=NAVER BUSINESS PLATFORM Corp.
+# Label: "NAVER Global Root Certification Authority"
+# Serial: 9013692873798656336226253319739695165984492813
+# MD5 Fingerprint: c8:7e:41:f6:25:3b:f5:09:b3:17:e8:46:3d:bf:d0:9b
+# SHA1 Fingerprint: 8f:6b:f2:a9:27:4a:da:14:a0:c4:f4:8e:61:27:f9:c0:1e:78:5d:d1
+# SHA256 Fingerprint: 88:f4:38:dc:f8:ff:d1:fa:8f:42:91:15:ff:e5:f8:2a:e1:e0:6e:0c:70:c3:75:fa:ad:71:7b:34:a4:9e:72:65
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=AC RAIZ FNMT-RCM SERVIDORES SEGUROS O=FNMT-RCM OU=Ceres
+# Subject: CN=AC RAIZ FNMT-RCM SERVIDORES SEGUROS O=FNMT-RCM OU=Ceres
+# Label: "AC RAIZ FNMT-RCM SERVIDORES SEGUROS"
+# Serial: 131542671362353147877283741781055151509
+# MD5 Fingerprint: 19:36:9c:52:03:2f:d2:d1:bb:23:cc:dd:1e:12:55:bb
+# SHA1 Fingerprint: 62:ff:d9:9e:c0:65:0d:03:ce:75:93:d2:ed:3f:2d:32:c9:e3:e5:4a
+# SHA256 Fingerprint: 55:41:53:b1:3d:2c:f9:dd:b7:53:bf:be:1a:4e:0a:e0:8d:0a:a4:18:70:58:fe:60:a2:b8:62:b2:e4:b8:7b:cb
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=GlobalSign Root R46 O=GlobalSign nv-sa
+# Subject: CN=GlobalSign Root R46 O=GlobalSign nv-sa
+# Label: "GlobalSign Root R46"
+# Serial: 1552617688466950547958867513931858518042577
+# MD5 Fingerprint: c4:14:30:e4:fa:66:43:94:2a:6a:1b:24:5f:19:d0:ef
+# SHA1 Fingerprint: 53:a2:b0:4b:ca:6b:d6:45:e6:39:8a:8e:c4:0d:d2:bf:77:c3:a2:90
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=GlobalSign Root E46 O=GlobalSign nv-sa
+# Subject: CN=GlobalSign Root E46 O=GlobalSign nv-sa
+# Label: "GlobalSign Root E46"
+# Serial: 1552617690338932563915843282459653771421763
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=ANF Secure Server Root CA O=ANF Autoridad de Certificacion OU=ANF CA Raiz
+# Subject: CN=ANF Secure Server Root CA O=ANF Autoridad de Certificacion OU=ANF CA Raiz
+# Label: "ANF Secure Server Root CA"
+# Serial: 996390341000653745
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=Certum EC-384 CA O=Asseco Data Systems S.A. OU=Certum Certification Authority
+# Subject: CN=Certum EC-384 CA O=Asseco Data Systems S.A. OU=Certum Certification Authority
+# Label: "Certum EC-384 CA"
+# Serial: 160250656287871593594747141429395092468
+# MD5 Fingerprint: b6:65:b3:96:60:97:12:a1:ec:4e:e1:3d:a3:c6:c9:f1
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=Certum Trusted Root CA O=Asseco Data Systems S.A. OU=Certum Certification Authority
+# Subject: CN=Certum Trusted Root CA O=Asseco Data Systems S.A. OU=Certum Certification Authority
+# Label: "Certum Trusted Root CA"
+# Serial: 40870380103424195783807378461123655149
+# MD5 Fingerprint: 51:e1:c2:e7:fe:4c:84:af:59:0e:2f:f4:54:6f:ea:29
+# SHA1 Fingerprint: c8:83:44:c0:18:ae:9f:cc:f1:87:b7:8f:22:d1:c5:d7:45:84:ba:e5
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=TunTrust Root CA O=Agence Nationale de Certification Electronique
+# Subject: CN=TunTrust Root CA O=Agence Nationale de Certification Electronique
+# Label: "TunTrust Root CA"
+# Serial: 108534058042236574382096126452369648152337120275
+# MD5 Fingerprint: 85:13:b9:90:5b:36:5c:b6:5e:b8:5a:f8:e0:31:57:b4
+# SHA1 Fingerprint: cf:e9:70:84:0f:e0:73:0f:9d:f6:0c:7f:2c:4b:ee:20:46:34:9c:bb
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=HARICA TLS RSA Root CA 2021 O=Hellenic Academic and Research Institutions CA
+# Subject: CN=HARICA TLS RSA Root CA 2021 O=Hellenic Academic and Research Institutions CA
+# Label: "HARICA TLS RSA Root CA 2021"
+# Serial: 76817823531813593706434026085292783742
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=HARICA TLS ECC Root CA 2021 O=Hellenic Academic and Research Institutions CA
+# Subject: CN=HARICA TLS ECC Root CA 2021 O=Hellenic Academic and Research Institutions CA
+# Label: "HARICA TLS ECC Root CA 2021"
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Autoridad de Certificacion Firmaprofesional CIF A62634068
+# Subject: CN=Autoridad de Certificacion Firmaprofesional CIF A62634068
+# Label: "Autoridad de Certificacion Firmaprofesional CIF A62634068"
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+-----BEGIN CERTIFICATE-----
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+# Subject: CN=vTrus ECC Root CA O=iTrusChina Co.,Ltd.
+# Label: "vTrus ECC Root CA"
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=vTrus Root CA O=iTrusChina Co.,Ltd.
+# Subject: CN=vTrus Root CA O=iTrusChina Co.,Ltd.
+# Label: "vTrus Root CA"
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+# Issuer: CN=ISRG Root X2 O=Internet Security Research Group
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+# Label: "ISRG Root X2"
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=HiPKI Root CA - G1 O=Chunghwa Telecom Co., Ltd.
+# Subject: CN=HiPKI Root CA - G1 O=Chunghwa Telecom Co., Ltd.
+# Label: "HiPKI Root CA - G1"
+# Serial: 60966262342023497858655262305426234976
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=GlobalSign O=GlobalSign OU=GlobalSign ECC Root CA - R4
+# Subject: CN=GlobalSign O=GlobalSign OU=GlobalSign ECC Root CA - R4
+# Label: "GlobalSign ECC Root CA - R4"
+# Serial: 159662223612894884239637590694
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=GTS Root R1 O=Google Trust Services LLC
+# Subject: CN=GTS Root R1 O=Google Trust Services LLC
+# Label: "GTS Root R1"
+# Serial: 159662320309726417404178440727
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=GTS Root R3 O=Google Trust Services LLC
+# Subject: CN=GTS Root R3 O=Google Trust Services LLC
+# Label: "GTS Root R3"
+# Serial: 159662495401136852707857743206
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=GTS Root R4 O=Google Trust Services LLC
+# Subject: CN=GTS Root R4 O=Google Trust Services LLC
+# Label: "GTS Root R4"
+# Serial: 159662532700760215368942768210
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Telia Root CA v2 O=Telia Finland Oyj
+# Subject: CN=Telia Root CA v2 O=Telia Finland Oyj
+# Label: "Telia Root CA v2"
+# Serial: 7288924052977061235122729490515358
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=D-TRUST BR Root CA 1 2020 O=D-Trust GmbH
+# Subject: CN=D-TRUST BR Root CA 1 2020 O=D-Trust GmbH
+# Label: "D-TRUST BR Root CA 1 2020"
+# Serial: 165870826978392376648679885835942448534
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=D-TRUST EV Root CA 1 2020 O=D-Trust GmbH
+# Subject: CN=D-TRUST EV Root CA 1 2020 O=D-Trust GmbH
+# Label: "D-TRUST EV Root CA 1 2020"
+# Serial: 126288379621884218666039612629459926992
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=DigiCert TLS ECC P384 Root G5 O=DigiCert, Inc.
+# Subject: CN=DigiCert TLS ECC P384 Root G5 O=DigiCert, Inc.
+# Label: "DigiCert TLS ECC P384 Root G5"
+# Serial: 13129116028163249804115411775095713523
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=DigiCert TLS RSA4096 Root G5 O=DigiCert, Inc.
+# Subject: CN=DigiCert TLS RSA4096 Root G5 O=DigiCert, Inc.
+# Label: "DigiCert TLS RSA4096 Root G5"
+# Serial: 11930366277458970227240571539258396554
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Certainly Root R1 O=Certainly
+# Subject: CN=Certainly Root R1 O=Certainly
+# Label: "Certainly Root R1"
+# Serial: 188833316161142517227353805653483829216
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=Certainly Root E1 O=Certainly
+# Subject: CN=Certainly Root E1 O=Certainly
+# Label: "Certainly Root E1"
+# Serial: 8168531406727139161245376702891150584
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=Security Communication ECC RootCA1 O=SECOM Trust Systems CO.,LTD.
+# Subject: CN=Security Communication ECC RootCA1 O=SECOM Trust Systems CO.,LTD.
+# Label: "Security Communication ECC RootCA1"
+# Serial: 15446673492073852651
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=BJCA Global Root CA1 O=BEIJING CERTIFICATE AUTHORITY
+# Subject: CN=BJCA Global Root CA1 O=BEIJING CERTIFICATE AUTHORITY
+# Label: "BJCA Global Root CA1"
+# Serial: 113562791157148395269083148143378328608
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=BJCA Global Root CA2 O=BEIJING CERTIFICATE AUTHORITY
+# Subject: CN=BJCA Global Root CA2 O=BEIJING CERTIFICATE AUTHORITY
+# Label: "BJCA Global Root CA2"
+# Serial: 58605626836079930195615843123109055211
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Sectigo Public Server Authentication Root E46 O=Sectigo Limited
+# Subject: CN=Sectigo Public Server Authentication Root E46 O=Sectigo Limited
+# Label: "Sectigo Public Server Authentication Root E46"
+# Serial: 88989738453351742415770396670917916916
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Sectigo Public Server Authentication Root R46 O=Sectigo Limited
+# Subject: CN=Sectigo Public Server Authentication Root R46 O=Sectigo Limited
+# Label: "Sectigo Public Server Authentication Root R46"
+# Serial: 156256931880233212765902055439220583700
+# MD5 Fingerprint: 32:10:09:52:00:d5:7e:6c:43:df:15:c0:b1:16:93:e5
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=SSL.com TLS RSA Root CA 2022 O=SSL Corporation
+# Subject: CN=SSL.com TLS RSA Root CA 2022 O=SSL Corporation
+# Label: "SSL.com TLS RSA Root CA 2022"
+# Serial: 148535279242832292258835760425842727825
+# MD5 Fingerprint: d8:4e:c6:59:30:d8:fe:a0:d6:7a:5a:2c:2c:69:78:da
+# SHA1 Fingerprint: ec:2c:83:40:72:af:26:95:10:ff:0e:f2:03:ee:31:70:f6:78:9d:ca
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=SSL.com TLS ECC Root CA 2022 O=SSL Corporation
+# Subject: CN=SSL.com TLS ECC Root CA 2022 O=SSL Corporation
+# Label: "SSL.com TLS ECC Root CA 2022"
+# Serial: 26605119622390491762507526719404364228
+# MD5 Fingerprint: 99:d7:5c:f1:51:36:cc:e9:ce:d9:19:2e:77:71:56:c5
+# SHA1 Fingerprint: 9f:5f:d9:1a:54:6d:f5:0c:71:f0:ee:7a:bd:17:49:98:84:73:e2:39
+# SHA256 Fingerprint: c3:2f:fd:9f:46:f9:36:d1:6c:36:73:99:09:59:43:4b:9a:d6:0a:af:bb:9e:7c:f3:36:54:f1:44:cc:1b:a1:43
+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Atos TrustedRoot Root CA ECC TLS 2021 O=Atos
+# Subject: CN=Atos TrustedRoot Root CA ECC TLS 2021 O=Atos
+# Label: "Atos TrustedRoot Root CA ECC TLS 2021"
+# Serial: 81873346711060652204712539181482831616
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Atos TrustedRoot Root CA RSA TLS 2021 O=Atos
+# Subject: CN=Atos TrustedRoot Root CA RSA TLS 2021 O=Atos
+# Label: "Atos TrustedRoot Root CA RSA TLS 2021"
+# Serial: 111436099570196163832749341232207667876
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+# Issuer: CN=TrustAsia Global Root CA G3 O=TrustAsia Technologies, Inc.
+# Subject: CN=TrustAsia Global Root CA G3 O=TrustAsia Technologies, Inc.
+# Label: "TrustAsia Global Root CA G3"
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=TrustAsia Global Root CA G4 O=TrustAsia Technologies, Inc.
+# Subject: CN=TrustAsia Global Root CA G4 O=TrustAsia Technologies, Inc.
+# Label: "TrustAsia Global Root CA G4"
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Telekom Security TLS ECC Root 2020 O=Deutsche Telekom Security GmbH
+# Subject: CN=Telekom Security TLS ECC Root 2020 O=Deutsche Telekom Security GmbH
+# Label: "Telekom Security TLS ECC Root 2020"
+# Serial: 72082518505882327255703894282316633856
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=Telekom Security TLS RSA Root 2023 O=Deutsche Telekom Security GmbH
+# Subject: CN=Telekom Security TLS RSA Root 2023 O=Deutsche Telekom Security GmbH
+# Label: "Telekom Security TLS RSA Root 2023"
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=TWCA CYBER Root CA O=TAIWAN-CA OU=Root CA
+# Subject: CN=TWCA CYBER Root CA O=TAIWAN-CA OU=Root CA
+# Label: "TWCA CYBER Root CA"
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=SecureSign Root CA14 O=Cybertrust Japan Co., Ltd.
+# Subject: CN=SecureSign Root CA14 O=Cybertrust Japan Co., Ltd.
+# Label: "SecureSign Root CA14"
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+-----BEGIN CERTIFICATE-----
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+
+# Issuer: CN=SecureSign Root CA15 O=Cybertrust Japan Co., Ltd.
+# Subject: CN=SecureSign Root CA15 O=Cybertrust Japan Co., Ltd.
+# Label: "SecureSign Root CA15"
+# Serial: 126083514594751269499665114766174399806381178503
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+-----BEGIN CERTIFICATE-----
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+# Issuer: CN=D-TRUST BR Root CA 2 2023 O=D-Trust GmbH
+# Subject: CN=D-TRUST BR Root CA 2 2023 O=D-Trust GmbH
+# Label: "D-TRUST BR Root CA 2 2023"
+# Serial: 153168538924886464690566649552453098598
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=TrustAsia TLS ECC Root CA O=TrustAsia Technologies, Inc.
+# Subject: CN=TrustAsia TLS ECC Root CA O=TrustAsia Technologies, Inc.
+# Label: "TrustAsia TLS ECC Root CA"
+# Serial: 310892014698942880364840003424242768478804666567
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=TrustAsia TLS RSA Root CA O=TrustAsia Technologies, Inc.
+# Subject: CN=TrustAsia TLS RSA Root CA O=TrustAsia Technologies, Inc.
+# Label: "TrustAsia TLS RSA Root CA"
+# Serial: 160405846464868906657516898462547310235378010780
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+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=D-TRUST EV Root CA 2 2023 O=D-Trust GmbH
+# Subject: CN=D-TRUST EV Root CA 2 2023 O=D-Trust GmbH
+# Label: "D-TRUST EV Root CA 2 2023"
+# Serial: 139766439402180512324132425437959641711
+# MD5 Fingerprint: 96:b4:78:09:f0:09:cb:77:eb:bb:1b:4d:6f:36:bc:b6
+# SHA1 Fingerprint: a5:5b:d8:47:6c:8f:19:f7:4c:f4:6d:6b:b6:c2:79:82:22:df:54:8b
+# SHA256 Fingerprint: 8e:82:21:b2:e7:d4:00:78:36:a1:67:2f:0d:cc:29:9c:33:bc:07:d3:16:f1:32:fa:1a:20:6d:58:71:50:f1:ce
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=SwissSign RSA TLS Root CA 2022 - 1 O=SwissSign AG
+# Subject: CN=SwissSign RSA TLS Root CA 2022 - 1 O=SwissSign AG
+# Label: "SwissSign RSA TLS Root CA 2022 - 1"
+# Serial: 388078645722908516278762308316089881486363258315
+# MD5 Fingerprint: 16:2e:e4:19:76:81:85:ba:8e:91:58:f1:15:ef:72:39
+# SHA1 Fingerprint: 81:34:0a:be:4c:cd:ce:cc:e7:7d:cc:8a:d4:57:e2:45:a0:77:5d:ce
+# SHA256 Fingerprint: 19:31:44:f4:31:e0:fd:db:74:07:17:d4:de:92:6a:57:11:33:88:4b:43:60:d3:0e:27:29:13:cb:e6:60:ce:41
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=OISTE Server Root ECC G1 O=OISTE Foundation
+# Subject: CN=OISTE Server Root ECC G1 O=OISTE Foundation
+# Label: "OISTE Server Root ECC G1"
+# Serial: 47819833811561661340092227008453318557
+# MD5 Fingerprint: 42:a7:d2:35:ae:02:92:db:19:76:08:de:2f:05:b4:d4
+# SHA1 Fingerprint: 3b:f6:8b:09:ae:2a:92:7b:ba:e3:8d:3f:11:95:d9:e6:44:0c:45:e2
+# SHA256 Fingerprint: ee:c9:97:c0:c3:0f:21:6f:7e:3b:8b:30:7d:2b:ae:42:41:2d:75:3f:c8:21:9d:af:d1:52:0b:25:72:85:0f:49
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=OISTE Server Root RSA G1 O=OISTE Foundation
+# Subject: CN=OISTE Server Root RSA G1 O=OISTE Foundation
+# Label: "OISTE Server Root RSA G1"
+# Serial: 113845518112613905024960613408179309848
+# MD5 Fingerprint: 23:a7:9e:d4:70:b8:b9:14:57:41:8a:7e:44:59:e2:68
+# SHA1 Fingerprint: f7:00:34:25:94:88:68:31:e4:34:87:3f:70:fe:86:b3:86:9f:f0:6e
+# SHA256 Fingerprint: 9a:e3:62:32:a5:18:9f:fd:db:35:3d:fd:26:52:0c:01:53:95:d2:27:77:da:c5:9d:b5:7b:98:c0:89:a6:51:e6
+-----BEGIN CERTIFICATE-----
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+-----END CERTIFICATE-----
+
+# Issuer: CN=e-Szigno TLS Root CA 2023 O=Microsec Ltd.
+# Subject: CN=e-Szigno TLS Root CA 2023 O=Microsec Ltd.
+# Label: "e-Szigno TLS Root CA 2023"
+# Serial: 71934828665710877219916191754
+# MD5 Fingerprint: 6a:e9:99:74:a5:da:5e:f1:d9:2e:f2:c8:d1:86:8b:71
+# SHA1 Fingerprint: 6f:9a:d5:d5:df:e8:2c:eb:be:37:07:ee:4f:4f:52:58:29:41:d1:fe
+# SHA256 Fingerprint: b4:91:41:50:2d:00:66:3d:74:0f:2e:7e:c3:40:c5:28:00:96:26:66:12:1a:36:d0:9c:f7:dd:2b:90:38:4f:b4
+-----BEGIN CERTIFICATE-----
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+emlnbm8gVExTIFJvb3QgQ0EgMjAyMzCBmzAQBgcqhkjOPQIBBgUrgQQAIwOBhgAE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+-----END CERTIFICATE-----
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/core.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/core.py
new file mode 100644
index 0000000000000000000000000000000000000000..2f2f7e088aebb0636a414a22dfe9d18e247cd512
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/core.py
@@ -0,0 +1,83 @@
+"""
+certifi.py
+~~~~~~~~~~
+
+This module returns the installation location of cacert.pem or its contents.
+"""
+import sys
+import atexit
+
+def exit_cacert_ctx() -> None:
+    _CACERT_CTX.__exit__(None, None, None)  # type: ignore[union-attr]
+
+
+if sys.version_info >= (3, 11):
+
+    from importlib.resources import as_file, files
+
+    _CACERT_CTX = None
+    _CACERT_PATH = None
+
+    def where() -> str:
+        # This is slightly terrible, but we want to delay extracting the file
+        # in cases where we're inside of a zipimport situation until someone
+        # actually calls where(), but we don't want to re-extract the file
+        # on every call of where(), so we'll do it once then store it in a
+        # global variable.
+        global _CACERT_CTX
+        global _CACERT_PATH
+        if _CACERT_PATH is None:
+            # This is slightly janky, the importlib.resources API wants you to
+            # manage the cleanup of this file, so it doesn't actually return a
+            # path, it returns a context manager that will give you the path
+            # when you enter it and will do any cleanup when you leave it. In
+            # the common case of not needing a temporary file, it will just
+            # return the file system location and the __exit__() is a no-op.
+            #
+            # We also have to hold onto the actual context manager, because
+            # it will do the cleanup whenever it gets garbage collected, so
+            # we will also store that at the global level as well.
+            _CACERT_CTX = as_file(files("pip._vendor.certifi").joinpath("cacert.pem"))
+            _CACERT_PATH = str(_CACERT_CTX.__enter__())
+            atexit.register(exit_cacert_ctx)
+
+        return _CACERT_PATH
+
+    def contents() -> str:
+        return files("pip._vendor.certifi").joinpath("cacert.pem").read_text(encoding="ascii")
+
+else:
+
+    from importlib.resources import path as get_path, read_text
+
+    _CACERT_CTX = None
+    _CACERT_PATH = None
+
+    def where() -> str:
+        # This is slightly terrible, but we want to delay extracting the
+        # file in cases where we're inside of a zipimport situation until
+        # someone actually calls where(), but we don't want to re-extract
+        # the file on every call of where(), so we'll do it once then store
+        # it in a global variable.
+        global _CACERT_CTX
+        global _CACERT_PATH
+        if _CACERT_PATH is None:
+            # This is slightly janky, the importlib.resources API wants you
+            # to manage the cleanup of this file, so it doesn't actually
+            # return a path, it returns a context manager that will give
+            # you the path when you enter it and will do any cleanup when
+            # you leave it. In the common case of not needing a temporary
+            # file, it will just return the file system location and the
+            # __exit__() is a no-op.
+            #
+            # We also have to hold onto the actual context manager, because
+            # it will do the cleanup whenever it gets garbage collected, so
+            # we will also store that at the global level as well.
+            _CACERT_CTX = get_path("pip._vendor.certifi", "cacert.pem")
+            _CACERT_PATH = str(_CACERT_CTX.__enter__())
+            atexit.register(exit_cacert_ctx)
+
+        return _CACERT_PATH
+
+    def contents() -> str:
+        return read_text("pip._vendor.certifi", "cacert.pem", encoding="ascii")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/py.typed b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/certifi/py.typed
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/LICENSE.txt b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/LICENSE.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c31ac56d772f7061c8b42f0ee96063b7a94a4859
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/LICENSE.txt
@@ -0,0 +1,284 @@
+A. HISTORY OF THE SOFTWARE
+==========================
+
+Python was created in the early 1990s by Guido van Rossum at Stichting
+Mathematisch Centrum (CWI, see http://www.cwi.nl) in the Netherlands
+as a successor of a language called ABC.  Guido remains Python's
+principal author, although it includes many contributions from others.
+
+In 1995, Guido continued his work on Python at the Corporation for
+National Research Initiatives (CNRI, see http://www.cnri.reston.va.us)
+in Reston, Virginia where he released several versions of the
+software.
+
+In May 2000, Guido and the Python core development team moved to
+BeOpen.com to form the BeOpen PythonLabs team.  In October of the same
+year, the PythonLabs team moved to Digital Creations (now Zope
+Corporation, see http://www.zope.com).  In 2001, the Python Software
+Foundation (PSF, see http://www.python.org/psf/) was formed, a
+non-profit organization created specifically to own Python-related
+Intellectual Property.  Zope Corporation is a sponsoring member of
+the PSF.
+
+All Python releases are Open Source (see http://www.opensource.org for
+the Open Source Definition).  Historically, most, but not all, Python
+releases have also been GPL-compatible; the table below summarizes
+the various releases.
+
+    Release         Derived     Year        Owner       GPL-
+                    from                                compatible? (1)
+
+    0.9.0 thru 1.2              1991-1995   CWI         yes
+    1.3 thru 1.5.2  1.2         1995-1999   CNRI        yes
+    1.6             1.5.2       2000        CNRI        no
+    2.0             1.6         2000        BeOpen.com  no
+    1.6.1           1.6         2001        CNRI        yes (2)
+    2.1             2.0+1.6.1   2001        PSF         no
+    2.0.1           2.0+1.6.1   2001        PSF         yes
+    2.1.1           2.1+2.0.1   2001        PSF         yes
+    2.2             2.1.1       2001        PSF         yes
+    2.1.2           2.1.1       2002        PSF         yes
+    2.1.3           2.1.2       2002        PSF         yes
+    2.2.1           2.2         2002        PSF         yes
+    2.2.2           2.2.1       2002        PSF         yes
+    2.2.3           2.2.2       2003        PSF         yes
+    2.3             2.2.2       2002-2003   PSF         yes
+    2.3.1           2.3         2002-2003   PSF         yes
+    2.3.2           2.3.1       2002-2003   PSF         yes
+    2.3.3           2.3.2       2002-2003   PSF         yes
+    2.3.4           2.3.3       2004        PSF         yes
+    2.3.5           2.3.4       2005        PSF         yes
+    2.4             2.3         2004        PSF         yes
+    2.4.1           2.4         2005        PSF         yes
+    2.4.2           2.4.1       2005        PSF         yes
+    2.4.3           2.4.2       2006        PSF         yes
+    2.4.4           2.4.3       2006        PSF         yes
+    2.5             2.4         2006        PSF         yes
+    2.5.1           2.5         2007        PSF         yes
+    2.5.2           2.5.1       2008        PSF         yes
+    2.5.3           2.5.2       2008        PSF         yes
+    2.6             2.5         2008        PSF         yes
+    2.6.1           2.6         2008        PSF         yes
+    2.6.2           2.6.1       2009        PSF         yes
+    2.6.3           2.6.2       2009        PSF         yes
+    2.6.4           2.6.3       2009        PSF         yes
+    2.6.5           2.6.4       2010        PSF         yes
+    3.0             2.6         2008        PSF         yes
+    3.0.1           3.0         2009        PSF         yes
+    3.1             3.0.1       2009        PSF         yes
+    3.1.1           3.1         2009        PSF         yes
+    3.1.2           3.1         2010        PSF         yes
+    3.2             3.1         2010        PSF         yes
+
+Footnotes:
+
+(1) GPL-compatible doesn't mean that we're distributing Python under
+    the GPL.  All Python licenses, unlike the GPL, let you distribute
+    a modified version without making your changes open source.  The
+    GPL-compatible licenses make it possible to combine Python with
+    other software that is released under the GPL; the others don't.
+
+(2) According to Richard Stallman, 1.6.1 is not GPL-compatible,
+    because its license has a choice of law clause.  According to
+    CNRI, however, Stallman's lawyer has told CNRI's lawyer that 1.6.1
+    is "not incompatible" with the GPL.
+
+Thanks to the many outside volunteers who have worked under Guido's
+direction to make these releases possible.
+
+
+B. TERMS AND CONDITIONS FOR ACCESSING OR OTHERWISE USING PYTHON
+===============================================================
+
+PYTHON SOFTWARE FOUNDATION LICENSE VERSION 2
+--------------------------------------------
+
+1. This LICENSE AGREEMENT is between the Python Software Foundation
+("PSF"), and the Individual or Organization ("Licensee") accessing and
+otherwise using this software ("Python") in source or binary form and
+its associated documentation.
+
+2. Subject to the terms and conditions of this License Agreement, PSF hereby
+grants Licensee a nonexclusive, royalty-free, world-wide license to reproduce,
+analyze, test, perform and/or display publicly, prepare derivative works,
+distribute, and otherwise use Python alone or in any derivative version,
+provided, however, that PSF's License Agreement and PSF's notice of copyright,
+i.e., "Copyright (c) 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010
+Python Software Foundation; All Rights Reserved" are retained in Python alone or
+in any derivative version prepared by Licensee.
+
+3. In the event Licensee prepares a derivative work that is based on
+or incorporates Python or any part thereof, and wants to make
+the derivative work available to others as provided herein, then
+Licensee hereby agrees to include in any such work a brief summary of
+the changes made to Python.
+
+4. PSF is making Python available to Licensee on an "AS IS"
+basis.  PSF MAKES NO REPRESENTATIONS OR WARRANTIES, EXPRESS OR
+IMPLIED.  BY WAY OF EXAMPLE, BUT NOT LIMITATION, PSF MAKES NO AND
+DISCLAIMS ANY REPRESENTATION OR WARRANTY OF MERCHANTABILITY OR FITNESS
+FOR ANY PARTICULAR PURPOSE OR THAT THE USE OF PYTHON WILL NOT
+INFRINGE ANY THIRD PARTY RIGHTS.
+
+5. PSF SHALL NOT BE LIABLE TO LICENSEE OR ANY OTHER USERS OF PYTHON
+FOR ANY INCIDENTAL, SPECIAL, OR CONSEQUENTIAL DAMAGES OR LOSS AS
+A RESULT OF MODIFYING, DISTRIBUTING, OR OTHERWISE USING PYTHON,
+OR ANY DERIVATIVE THEREOF, EVEN IF ADVISED OF THE POSSIBILITY THEREOF.
+
+6. This License Agreement will automatically terminate upon a material
+breach of its terms and conditions.
+
+7. Nothing in this License Agreement shall be deemed to create any
+relationship of agency, partnership, or joint venture between PSF and
+Licensee.  This License Agreement does not grant permission to use PSF
+trademarks or trade name in a trademark sense to endorse or promote
+products or services of Licensee, or any third party.
+
+8. By copying, installing or otherwise using Python, Licensee
+agrees to be bound by the terms and conditions of this License
+Agreement.
+
+
+BEOPEN.COM LICENSE AGREEMENT FOR PYTHON 2.0
+-------------------------------------------
+
+BEOPEN PYTHON OPEN SOURCE LICENSE AGREEMENT VERSION 1
+
+1. This LICENSE AGREEMENT is between BeOpen.com ("BeOpen"), having an
+office at 160 Saratoga Avenue, Santa Clara, CA 95051, and the
+Individual or Organization ("Licensee") accessing and otherwise using
+this software in source or binary form and its associated
+documentation ("the Software").
+
+2. Subject to the terms and conditions of this BeOpen Python License
+Agreement, BeOpen hereby grants Licensee a non-exclusive,
+royalty-free, world-wide license to reproduce, analyze, test, perform
+and/or display publicly, prepare derivative works, distribute, and
+otherwise use the Software alone or in any derivative version,
+provided, however, that the BeOpen Python License is retained in the
+Software, alone or in any derivative version prepared by Licensee.
+
+3. BeOpen is making the Software available to Licensee on an "AS IS"
+basis.  BEOPEN MAKES NO REPRESENTATIONS OR WARRANTIES, EXPRESS OR
+IMPLIED.  BY WAY OF EXAMPLE, BUT NOT LIMITATION, BEOPEN MAKES NO AND
+DISCLAIMS ANY REPRESENTATION OR WARRANTY OF MERCHANTABILITY OR FITNESS
+FOR ANY PARTICULAR PURPOSE OR THAT THE USE OF THE SOFTWARE WILL NOT
+INFRINGE ANY THIRD PARTY RIGHTS.
+
+4. BEOPEN SHALL NOT BE LIABLE TO LICENSEE OR ANY OTHER USERS OF THE
+SOFTWARE FOR ANY INCIDENTAL, SPECIAL, OR CONSEQUENTIAL DAMAGES OR LOSS
+AS A RESULT OF USING, MODIFYING OR DISTRIBUTING THE SOFTWARE, OR ANY
+DERIVATIVE THEREOF, EVEN IF ADVISED OF THE POSSIBILITY THEREOF.
+
+5. This License Agreement will automatically terminate upon a material
+breach of its terms and conditions.
+
+6. This License Agreement shall be governed by and interpreted in all
+respects by the law of the State of California, excluding conflict of
+law provisions.  Nothing in this License Agreement shall be deemed to
+create any relationship of agency, partnership, or joint venture
+between BeOpen and Licensee.  This License Agreement does not grant
+permission to use BeOpen trademarks or trade names in a trademark
+sense to endorse or promote products or services of Licensee, or any
+third party.  As an exception, the "BeOpen Python" logos available at
+http://www.pythonlabs.com/logos.html may be used according to the
+permissions granted on that web page.
+
+7. By copying, installing or otherwise using the software, Licensee
+agrees to be bound by the terms and conditions of this License
+Agreement.
+
+
+CNRI LICENSE AGREEMENT FOR PYTHON 1.6.1
+---------------------------------------
+
+1. This LICENSE AGREEMENT is between the Corporation for National
+Research Initiatives, having an office at 1895 Preston White Drive,
+Reston, VA 20191 ("CNRI"), and the Individual or Organization
+("Licensee") accessing and otherwise using Python 1.6.1 software in
+source or binary form and its associated documentation.
+
+2. Subject to the terms and conditions of this License Agreement, CNRI
+hereby grants Licensee a nonexclusive, royalty-free, world-wide
+license to reproduce, analyze, test, perform and/or display publicly,
+prepare derivative works, distribute, and otherwise use Python 1.6.1
+alone or in any derivative version, provided, however, that CNRI's
+License Agreement and CNRI's notice of copyright, i.e., "Copyright (c)
+1995-2001 Corporation for National Research Initiatives; All Rights
+Reserved" are retained in Python 1.6.1 alone or in any derivative
+version prepared by Licensee.  Alternately, in lieu of CNRI's License
+Agreement, Licensee may substitute the following text (omitting the
+quotes): "Python 1.6.1 is made available subject to the terms and
+conditions in CNRI's License Agreement.  This Agreement together with
+Python 1.6.1 may be located on the Internet using the following
+unique, persistent identifier (known as a handle): 1895.22/1013.  This
+Agreement may also be obtained from a proxy server on the Internet
+using the following URL: http://hdl.handle.net/1895.22/1013".
+
+3. In the event Licensee prepares a derivative work that is based on
+or incorporates Python 1.6.1 or any part thereof, and wants to make
+the derivative work available to others as provided herein, then
+Licensee hereby agrees to include in any such work a brief summary of
+the changes made to Python 1.6.1.
+
+4. CNRI is making Python 1.6.1 available to Licensee on an "AS IS"
+basis.  CNRI MAKES NO REPRESENTATIONS OR WARRANTIES, EXPRESS OR
+IMPLIED.  BY WAY OF EXAMPLE, BUT NOT LIMITATION, CNRI MAKES NO AND
+DISCLAIMS ANY REPRESENTATION OR WARRANTY OF MERCHANTABILITY OR FITNESS
+FOR ANY PARTICULAR PURPOSE OR THAT THE USE OF PYTHON 1.6.1 WILL NOT
+INFRINGE ANY THIRD PARTY RIGHTS.
+
+5. CNRI SHALL NOT BE LIABLE TO LICENSEE OR ANY OTHER USERS OF PYTHON
+1.6.1 FOR ANY INCIDENTAL, SPECIAL, OR CONSEQUENTIAL DAMAGES OR LOSS AS
+A RESULT OF MODIFYING, DISTRIBUTING, OR OTHERWISE USING PYTHON 1.6.1,
+OR ANY DERIVATIVE THEREOF, EVEN IF ADVISED OF THE POSSIBILITY THEREOF.
+
+6. This License Agreement will automatically terminate upon a material
+breach of its terms and conditions.
+
+7. This License Agreement shall be governed by the federal
+intellectual property law of the United States, including without
+limitation the federal copyright law, and, to the extent such
+U.S. federal law does not apply, by the law of the Commonwealth of
+Virginia, excluding Virginia's conflict of law provisions.
+Notwithstanding the foregoing, with regard to derivative works based
+on Python 1.6.1 that incorporate non-separable material that was
+previously distributed under the GNU General Public License (GPL), the
+law of the Commonwealth of Virginia shall govern this License
+Agreement only as to issues arising under or with respect to
+Paragraphs 4, 5, and 7 of this License Agreement.  Nothing in this
+License Agreement shall be deemed to create any relationship of
+agency, partnership, or joint venture between CNRI and Licensee.  This
+License Agreement does not grant permission to use CNRI trademarks or
+trade name in a trademark sense to endorse or promote products or
+services of Licensee, or any third party.
+
+8. By clicking on the "ACCEPT" button where indicated, or by copying,
+installing or otherwise using Python 1.6.1, Licensee agrees to be
+bound by the terms and conditions of this License Agreement.
+
+        ACCEPT
+
+
+CWI LICENSE AGREEMENT FOR PYTHON 0.9.0 THROUGH 1.2
+--------------------------------------------------
+
+Copyright (c) 1991 - 1995, Stichting Mathematisch Centrum Amsterdam,
+The Netherlands.  All rights reserved.
+
+Permission to use, copy, modify, and distribute this software and its
+documentation for any purpose and without fee is hereby granted,
+provided that the above copyright notice appear in all copies and that
+both that copyright notice and this permission notice appear in
+supporting documentation, and that the name of Stichting Mathematisch
+Centrum or CWI not be used in advertising or publicity pertaining to
+distribution of the software without specific, written prior
+permission.
+
+STICHTING MATHEMATISCH CENTRUM DISCLAIMS ALL WARRANTIES WITH REGARD TO
+THIS SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND
+FITNESS, IN NO EVENT SHALL STICHTING MATHEMATISCH CENTRUM BE LIABLE
+FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT
+OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..3ac0c337da22719587a2f8447e44b12f16780e6c
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/__init__.py
@@ -0,0 +1,33 @@
+# -*- coding: utf-8 -*-
+#
+# Copyright (C) 2012-2024 Vinay Sajip.
+# Licensed to the Python Software Foundation under a contributor agreement.
+# See LICENSE.txt and CONTRIBUTORS.txt.
+#
+import logging
+
+__version__ = '0.4.2'
+
+
+class DistlibException(Exception):
+    pass
+
+
+try:
+    from logging import NullHandler
+except ImportError:  # pragma: no cover
+
+    class NullHandler(logging.Handler):
+
+        def handle(self, record):
+            pass
+
+        def emit(self, record):
+            pass
+
+        def createLock(self):
+            self.lock = None
+
+
+logger = logging.getLogger(__name__)
+logger.addHandler(NullHandler())
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/__pycache__/__init__.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/compat.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/compat.py
new file mode 100644
index 0000000000000000000000000000000000000000..b9c0fecbc603ba80e72a74b4b7b5149834359822
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/compat.py
@@ -0,0 +1,1107 @@
+# -*- coding: utf-8 -*-
+#
+# Copyright (C) 2013-2026 Vinay Sajip.
+# Licensed to the Python Software Foundation under a contributor agreement.
+# See LICENSE.txt and CONTRIBUTORS.txt.
+#
+from __future__ import absolute_import
+
+import os
+import re
+import shutil
+import sys
+
+try:
+    import ssl
+except ImportError:  # pragma: no cover
+    ssl = None
+
+if sys.version_info[0] < 3:  # pragma: no cover
+    from StringIO import StringIO
+    string_types = basestring,
+    text_type = unicode
+    from types import FileType as file_type
+    import __builtin__ as builtins
+    import ConfigParser as configparser
+    from urlparse import urlparse, urlunparse, urljoin, urlsplit, urlunsplit
+    from urllib import (urlretrieve, quote as _quote, unquote, url2pathname, pathname2url, ContentTooShortError,
+                        splittype)
+
+    def quote(s):
+        if isinstance(s, unicode):
+            s = s.encode('utf-8')
+        return _quote(s)
+
+    import urllib2
+    from urllib2 import (Request, urlopen, URLError, HTTPError, HTTPBasicAuthHandler, HTTPPasswordMgr, HTTPHandler,
+                         HTTPRedirectHandler, build_opener)
+    if ssl:
+        from urllib2 import HTTPSHandler
+    import httplib
+    import xmlrpclib
+    import Queue as queue
+    from HTMLParser import HTMLParser
+    import htmlentitydefs
+    raw_input = raw_input
+    from itertools import ifilter as filter
+    from itertools import ifilterfalse as filterfalse
+
+    # Leaving this around for now, in case it needs resurrecting in some way
+    # _userprog = None
+    # def splituser(host):
+    # """splituser('user[:passwd]@host[:port]') --> 'user[:passwd]', 'host[:port]'."""
+    # global _userprog
+    # if _userprog is None:
+    # import re
+    # _userprog = re.compile('^(.*)@(.*)$')
+
+    # match = _userprog.match(host)
+    # if match: return match.group(1, 2)
+    # return None, host
+
+else:  # pragma: no cover
+    from io import StringIO
+    string_types = str,
+    text_type = str
+    from io import TextIOWrapper as file_type
+    import builtins
+    import configparser
+    from urllib.parse import (urlparse, urlunparse, urljoin, quote, unquote, urlsplit, urlunsplit, splittype)
+    from urllib.request import (urlopen, urlretrieve, Request, url2pathname, pathname2url, HTTPBasicAuthHandler,
+                                HTTPPasswordMgr, HTTPHandler, HTTPRedirectHandler, build_opener)
+    if ssl:
+        from urllib.request import HTTPSHandler
+    from urllib.error import HTTPError, URLError, ContentTooShortError
+    import http.client as httplib
+    import urllib.request as urllib2
+    import xmlrpc.client as xmlrpclib
+    import queue
+    from html.parser import HTMLParser
+    import html.entities as htmlentitydefs
+    raw_input = input
+    from itertools import filterfalse
+    filter = filter
+
+try:
+    from ssl import match_hostname, CertificateError
+except ImportError:  # pragma: no cover
+
+    class CertificateError(ValueError):
+        pass
+
+    def _dnsname_match(dn, hostname, max_wildcards=1):
+        """Matching according to RFC 6125, section 6.4.3
+
+        http://tools.ietf.org/html/rfc6125#section-6.4.3
+        """
+        pats = []
+        if not dn:
+            return False
+
+        parts = dn.split('.')
+        leftmost, remainder = parts[0], parts[1:]
+
+        wildcards = leftmost.count('*')
+        if wildcards > max_wildcards:
+            # Issue #17980: avoid denials of service by refusing more
+            # than one wildcard per fragment.  A survey of established
+            # policy among SSL implementations showed it to be a
+            # reasonable choice.
+            raise CertificateError('Too many wildcards in certificate DNS name: %r' % dn)
+
+        # speed up common case w/o wildcards
+        if not wildcards:
+            return dn.lower() == hostname.lower()
+
+        # RFC 6125, section 6.4.3, subitem 1.
+        # The client SHOULD NOT attempt to match a presented identifier in which
+        # the wildcard character comprises a label other than the left-most label.
+        if leftmost == '*':
+            # When '*' is a fragment by itself, it matches a non-empty dotless
+            # fragment.
+            pats.append('[^.]+')
+        elif leftmost.startswith('xn--') or hostname.startswith('xn--'):
+            # RFC 6125, section 6.4.3, subitem 3.
+            # The client SHOULD NOT attempt to match a presented identifier
+            # where the wildcard character is embedded within an A-label or
+            # U-label of an internationalized domain name.
+            pats.append(re.escape(leftmost))
+        else:
+            # Otherwise, '*' matches any dotless string, e.g. www*
+            pats.append(re.escape(leftmost).replace(r'\*', '[^.]*'))
+
+        # add the remaining fragments, ignore any wildcards
+        for frag in remainder:
+            pats.append(re.escape(frag))
+
+        pat = re.compile(r'\A' + r'\.'.join(pats) + r'\Z', re.IGNORECASE)
+        return pat.match(hostname)
+
+    def match_hostname(cert, hostname):
+        """Verify that *cert* (in decoded format as returned by
+        SSLSocket.getpeercert()) matches the *hostname*.  RFC 2818 and RFC 6125
+        rules are followed, but IP addresses are not accepted for *hostname*.
+
+        CertificateError is raised on failure. On success, the function
+        returns nothing.
+        """
+        if not cert:
+            raise ValueError("empty or no certificate, match_hostname needs a "
+                             "SSL socket or SSL context with either "
+                             "CERT_OPTIONAL or CERT_REQUIRED")
+        dnsnames = []
+        san = cert.get('subjectAltName', ())
+        for key, value in san:
+            if key == 'DNS':
+                if _dnsname_match(value, hostname):
+                    return
+                dnsnames.append(value)
+        if not dnsnames:
+            # The subject is only checked when there is no dNSName entry
+            # in subjectAltName
+            for sub in cert.get('subject', ()):
+                for key, value in sub:
+                    # XXX according to RFC 2818, the most specific Common Name
+                    # must be used.
+                    if key == 'commonName':
+                        if _dnsname_match(value, hostname):
+                            return
+                        dnsnames.append(value)
+        if len(dnsnames) > 1:
+            raise CertificateError("hostname %r "
+                                   "doesn't match either of %s" % (hostname, ', '.join(map(repr, dnsnames))))
+        elif len(dnsnames) == 1:
+            raise CertificateError("hostname %r "
+                                   "doesn't match %r" % (hostname, dnsnames[0]))
+        else:
+            raise CertificateError("no appropriate commonName or "
+                                   "subjectAltName fields were found")
+
+
+try:
+    from types import SimpleNamespace as Container
+except ImportError:  # pragma: no cover
+
+    class Container(object):
+        """
+        A generic container for when multiple values need to be returned
+        """
+
+        def __init__(self, **kwargs):
+            self.__dict__.update(kwargs)
+
+
+try:
+    from shutil import which
+except ImportError:  # pragma: no cover
+    # Implementation from Python 3.3
+    def which(cmd, mode=os.F_OK | os.X_OK, path=None):
+        """Given a command, mode, and a PATH string, return the path which
+        conforms to the given mode on the PATH, or None if there is no such
+        file.
+
+        `mode` defaults to os.F_OK | os.X_OK. `path` defaults to the result
+        of os.environ.get("PATH"), or can be overridden with a custom search
+        path.
+
+        """
+
+        # Check that a given file can be accessed with the correct mode.
+        # Additionally check that `file` is not a directory, as on Windows
+        # directories pass the os.access check.
+        def _access_check(fn, mode):
+            return (os.path.exists(fn) and os.access(fn, mode) and not os.path.isdir(fn))
+
+        # If we're given a path with a directory part, look it up directly rather
+        # than referring to PATH directories. This includes checking relative to the
+        # current directory, e.g. ./script
+        if os.path.dirname(cmd):
+            if _access_check(cmd, mode):
+                return cmd
+            return None
+
+        if path is None:
+            path = os.environ.get("PATH", os.defpath)
+        if not path:
+            return None
+        path = path.split(os.pathsep)
+
+        if sys.platform == "win32":
+            # The current directory takes precedence on Windows.
+            if os.curdir not in path:
+                path.insert(0, os.curdir)
+
+            # PATHEXT is necessary to check on Windows.
+            pathext = os.environ.get("PATHEXT", "").split(os.pathsep)
+            # See if the given file matches any of the expected path extensions.
+            # This will allow us to short circuit when given "python.exe".
+            # If it does match, only test that one, otherwise we have to try
+            # others.
+            if any(cmd.lower().endswith(ext.lower()) for ext in pathext):
+                files = [cmd]
+            else:
+                files = [cmd + ext for ext in pathext]
+        else:
+            # On other platforms you don't have things like PATHEXT to tell you
+            # what file suffixes are executable, so just pass on cmd as-is.
+            files = [cmd]
+
+        seen = set()
+        for dir in path:
+            normdir = os.path.normcase(dir)
+            if normdir not in seen:
+                seen.add(normdir)
+                for thefile in files:
+                    name = os.path.join(dir, thefile)
+                    if _access_check(name, mode):
+                        return name
+        return None
+
+
+# ZipFile is a context manager in 2.7, but not in 2.6
+
+from zipfile import ZipFile as BaseZipFile
+
+if hasattr(BaseZipFile, '__enter__'):  # pragma: no cover
+    ZipFile = BaseZipFile
+else:  # pragma: no cover
+    from zipfile import ZipExtFile as BaseZipExtFile
+
+    class ZipExtFile(BaseZipExtFile):
+
+        def __init__(self, base):
+            self.__dict__.update(base.__dict__)
+
+        def __enter__(self):
+            return self
+
+        def __exit__(self, *exc_info):
+            self.close()
+            # return None, so if an exception occurred, it will propagate
+
+    class ZipFile(BaseZipFile):
+
+        def __enter__(self):
+            return self
+
+        def __exit__(self, *exc_info):
+            self.close()
+            # return None, so if an exception occurred, it will propagate
+
+        def open(self, *args, **kwargs):
+            base = BaseZipFile.open(self, *args, **kwargs)
+            return ZipExtFile(base)
+
+
+try:
+    from platform import python_implementation
+except ImportError:  # pragma: no cover
+
+    def python_implementation():
+        """Return a string identifying the Python implementation."""
+        if 'PyPy' in sys.version:
+            return 'PyPy'
+        if os.name == 'java':
+            return 'Jython'
+        if sys.version.startswith('IronPython'):
+            return 'IronPython'
+        return 'CPython'
+
+
+import sysconfig
+
+try:
+    callable = callable
+except NameError:  # pragma: no cover
+    from collections.abc import Callable
+
+    def callable(obj):
+        return isinstance(obj, Callable)
+
+
+try:
+    fsencode = os.fsencode
+    fsdecode = os.fsdecode
+except AttributeError:  # pragma: no cover
+    # Issue #99: on some systems (e.g. containerised),
+    # sys.getfilesystemencoding() returns None, and we need a real value,
+    # so fall back to utf-8. From the CPython 2.7 docs relating to Unix and
+    # sys.getfilesystemencoding(): the return value is "the user’s preference
+    # according to the result of nl_langinfo(CODESET), or None if the
+    # nl_langinfo(CODESET) failed."
+    _fsencoding = sys.getfilesystemencoding() or 'utf-8'
+    if _fsencoding == 'mbcs':
+        _fserrors = 'strict'
+    else:
+        _fserrors = 'surrogateescape'
+
+    def fsencode(filename):
+        if isinstance(filename, bytes):
+            return filename
+        elif isinstance(filename, text_type):
+            return filename.encode(_fsencoding, _fserrors)
+        else:
+            raise TypeError("expect bytes or str, not %s" % type(filename).__name__)
+
+    def fsdecode(filename):
+        if isinstance(filename, text_type):
+            return filename
+        elif isinstance(filename, bytes):
+            return filename.decode(_fsencoding, _fserrors)
+        else:
+            raise TypeError("expect bytes or str, not %s" % type(filename).__name__)
+
+
+try:
+    from tokenize import detect_encoding
+except ImportError:  # pragma: no cover
+    from codecs import BOM_UTF8, lookup
+
+    cookie_re = re.compile(r"coding[:=]\s*([-\w.]+)")
+
+    def _get_normal_name(orig_enc):
+        """Imitates get_normal_name in tokenizer.c."""
+        # Only care about the first 12 characters.
+        enc = orig_enc[:12].lower().replace("_", "-")
+        if enc == "utf-8" or enc.startswith("utf-8-"):
+            return "utf-8"
+        if enc in ("latin-1", "iso-8859-1", "iso-latin-1") or \
+           enc.startswith(("latin-1-", "iso-8859-1-", "iso-latin-1-")):
+            return "iso-8859-1"
+        return orig_enc
+
+    def detect_encoding(readline):
+        """
+        The detect_encoding() function is used to detect the encoding that should
+        be used to decode a Python source file.  It requires one argument, readline,
+        in the same way as the tokenize() generator.
+
+        It will call readline a maximum of twice, and return the encoding used
+        (as a string) and a list of any lines (left as bytes) it has read in.
+
+        It detects the encoding from the presence of a utf-8 bom or an encoding
+        cookie as specified in pep-0263.  If both a bom and a cookie are present,
+        but disagree, a SyntaxError will be raised.  If the encoding cookie is an
+        invalid charset, raise a SyntaxError.  Note that if a utf-8 bom is found,
+        'utf-8-sig' is returned.
+
+        If no encoding is specified, then the default of 'utf-8' will be returned.
+        """
+        try:
+            filename = readline.__self__.name
+        except AttributeError:
+            filename = None
+        bom_found = False
+        encoding = None
+        default = 'utf-8'
+
+        def read_or_stop():
+            try:
+                return readline()
+            except StopIteration:
+                return b''
+
+        def find_cookie(line):
+            try:
+                # Decode as UTF-8. Either the line is an encoding declaration,
+                # in which case it should be pure ASCII, or it must be UTF-8
+                # per default encoding.
+                line_string = line.decode('utf-8')
+            except UnicodeDecodeError:
+                msg = "invalid or missing encoding declaration"
+                if filename is not None:
+                    msg = '{} for {!r}'.format(msg, filename)
+                raise SyntaxError(msg)
+
+            matches = cookie_re.findall(line_string)
+            if not matches:
+                return None
+            encoding = _get_normal_name(matches[0])
+            try:
+                codec = lookup(encoding)
+            except LookupError:
+                # This behaviour mimics the Python interpreter
+                if filename is None:
+                    msg = "unknown encoding: " + encoding
+                else:
+                    msg = "unknown encoding for {!r}: {}".format(filename, encoding)
+                raise SyntaxError(msg)
+
+            if bom_found:
+                if codec.name != 'utf-8':
+                    # This behaviour mimics the Python interpreter
+                    if filename is None:
+                        msg = 'Encoding problem: utf-8'
+                    else:
+                        msg = 'Encoding problem for %r: utf-8' % filename
+                    raise SyntaxError(msg)
+                encoding += '-sig'
+            return encoding
+
+        first = read_or_stop()
+        if first.startswith(BOM_UTF8):
+            bom_found = True
+            first = first[3:]
+            default = 'utf-8-sig'
+        if not first:
+            return default, []
+
+        encoding = find_cookie(first)
+        if encoding:
+            return encoding, [first]
+
+        second = read_or_stop()
+        if not second:
+            return default, [first]
+
+        encoding = find_cookie(second)
+        if encoding:
+            return encoding, [first, second]
+
+        return default, [first, second]
+
+
+# For converting & <-> & etc.
+try:
+    from html import escape
+except ImportError:
+    from cgi import escape
+if sys.version_info[:2] < (3, 4):
+    unescape = HTMLParser().unescape
+else:
+    from html import unescape
+
+try:
+    from collections import ChainMap
+except ImportError:  # pragma: no cover
+    from collections import MutableMapping
+
+    try:
+        from reprlib import recursive_repr as _recursive_repr
+    except ImportError:
+
+        def _recursive_repr(fillvalue='...'):
+            '''
+            Decorator to make a repr function return fillvalue for a recursive
+            call
+            '''
+
+            def decorating_function(user_function):
+                repr_running = set()
+
+                def wrapper(self):
+                    key = id(self), get_ident()
+                    if key in repr_running:
+                        return fillvalue
+                    repr_running.add(key)
+                    try:
+                        result = user_function(self)
+                    finally:
+                        repr_running.discard(key)
+                    return result
+
+                # Can't use functools.wraps() here because of bootstrap issues
+                wrapper.__module__ = getattr(user_function, '__module__')
+                wrapper.__doc__ = getattr(user_function, '__doc__')
+                wrapper.__name__ = getattr(user_function, '__name__')
+                wrapper.__annotations__ = getattr(user_function, '__annotations__', {})
+                return wrapper
+
+            return decorating_function
+
+    class ChainMap(MutableMapping):
+        '''
+        A ChainMap groups multiple dicts (or other mappings) together
+        to create a single, updateable view.
+
+        The underlying mappings are stored in a list.  That list is public and can
+        accessed or updated using the *maps* attribute.  There is no other state.
+
+        Lookups search the underlying mappings successively until a key is found.
+        In contrast, writes, updates, and deletions only operate on the first
+        mapping.
+        '''
+
+        def __init__(self, *maps):
+            '''Initialize a ChainMap by setting *maps* to the given mappings.
+            If no mappings are provided, a single empty dictionary is used.
+
+            '''
+            self.maps = list(maps) or [{}]  # always at least one map
+
+        def __missing__(self, key):
+            raise KeyError(key)
+
+        def __getitem__(self, key):
+            for mapping in self.maps:
+                try:
+                    return mapping[key]  # can't use 'key in mapping' with defaultdict
+                except KeyError:
+                    pass
+            return self.__missing__(key)  # support subclasses that define __missing__
+
+        def get(self, key, default=None):
+            return self[key] if key in self else default
+
+        def __len__(self):
+            return len(set().union(*self.maps))  # reuses stored hash values if possible
+
+        def __iter__(self):
+            return iter(set().union(*self.maps))
+
+        def __contains__(self, key):
+            return any(key in m for m in self.maps)
+
+        def __bool__(self):
+            return any(self.maps)
+
+        @_recursive_repr()
+        def __repr__(self):
+            return '{0.__class__.__name__}({1})'.format(self, ', '.join(map(repr, self.maps)))
+
+        @classmethod
+        def fromkeys(cls, iterable, *args):
+            'Create a ChainMap with a single dict created from the iterable.'
+            return cls(dict.fromkeys(iterable, *args))
+
+        def copy(self):
+            'New ChainMap or subclass with a new copy of maps[0] and refs to maps[1:]'
+            return self.__class__(self.maps[0].copy(), *self.maps[1:])
+
+        __copy__ = copy
+
+        def new_child(self):  # like Django's Context.push()
+            'New ChainMap with a new dict followed by all previous maps.'
+            return self.__class__({}, *self.maps)
+
+        @property
+        def parents(self):  # like Django's Context.pop()
+            'New ChainMap from maps[1:].'
+            return self.__class__(*self.maps[1:])
+
+        def __setitem__(self, key, value):
+            self.maps[0][key] = value
+
+        def __delitem__(self, key):
+            try:
+                del self.maps[0][key]
+            except KeyError:
+                raise KeyError('Key not found in the first mapping: {!r}'.format(key))
+
+        def popitem(self):
+            'Remove and return an item pair from maps[0]. Raise KeyError is maps[0] is empty.'
+            try:
+                return self.maps[0].popitem()
+            except KeyError:
+                raise KeyError('No keys found in the first mapping.')
+
+        def pop(self, key, *args):
+            'Remove *key* from maps[0] and return its value. Raise KeyError if *key* not in maps[0].'
+            try:
+                return self.maps[0].pop(key, *args)
+            except KeyError:
+                raise KeyError('Key not found in the first mapping: {!r}'.format(key))
+
+        def clear(self):
+            'Clear maps[0], leaving maps[1:] intact.'
+            self.maps[0].clear()
+
+
+try:
+    from importlib.util import cache_from_source  # Python >= 3.4
+except ImportError:  # pragma: no cover
+
+    def cache_from_source(path, debug_override=None, optimization=None):
+        assert path.endswith('.py')
+        if debug_override is None:
+            debug_override = __debug__
+        if debug_override:
+            suffix = 'c'
+        else:
+            suffix = 'o'
+        return path + suffix
+
+
+try:
+    from collections import OrderedDict
+except ImportError:  # pragma: no cover
+    # {{{ http://code.activestate.com/recipes/576693/ (r9)
+    # Backport of OrderedDict() class that runs on Python 2.4, 2.5, 2.6, 2.7 and pypy.
+    # Passes Python2.7's test suite and incorporates all the latest updates.
+    try:
+        from thread import get_ident as _get_ident
+    except ImportError:
+        from dummy_thread import get_ident as _get_ident
+
+    try:
+        from _abcoll import KeysView, ValuesView, ItemsView
+    except ImportError:
+        pass
+
+    class OrderedDict(dict):
+        'Dictionary that remembers insertion order'
+
+        # An inherited dict maps keys to values.
+        # The inherited dict provides __getitem__, __len__, __contains__, and get.
+        # The remaining methods are order-aware.
+        # Big-O running times for all methods are the same as for regular dictionaries.
+
+        # The internal self.__map dictionary maps keys to links in a doubly linked list.
+        # The circular doubly linked list starts and ends with a sentinel element.
+        # The sentinel element never gets deleted (this simplifies the algorithm).
+        # Each link is stored as a list of length three:  [PREV, NEXT, KEY].
+
+        def __init__(self, *args, **kwds):
+            '''Initialize an ordered dictionary.  Signature is the same as for
+            regular dictionaries, but keyword arguments are not recommended
+            because their insertion order is arbitrary.
+
+            '''
+            if len(args) > 1:
+                raise TypeError('expected at most 1 arguments, got %d' % len(args))
+            try:
+                self.__root
+            except AttributeError:
+                self.__root = root = []  # sentinel node
+                root[:] = [root, root, None]
+                self.__map = {}
+            self.__update(*args, **kwds)
+
+        def __setitem__(self, key, value, dict_setitem=dict.__setitem__):
+            'od.__setitem__(i, y) <==> od[i]=y'
+            # Setting a new item creates a new link which goes at the end of the linked
+            # list, and the inherited dictionary is updated with the new key/value pair.
+            if key not in self:
+                root = self.__root
+                last = root[0]
+                last[1] = root[0] = self.__map[key] = [last, root, key]
+            dict_setitem(self, key, value)
+
+        def __delitem__(self, key, dict_delitem=dict.__delitem__):
+            'od.__delitem__(y) <==> del od[y]'
+            # Deleting an existing item uses self.__map to find the link which is
+            # then removed by updating the links in the predecessor and successor nodes.
+            dict_delitem(self, key)
+            link_prev, link_next, key = self.__map.pop(key)
+            link_prev[1] = link_next
+            link_next[0] = link_prev
+
+        def __iter__(self):
+            'od.__iter__() <==> iter(od)'
+            root = self.__root
+            curr = root[1]
+            while curr is not root:
+                yield curr[2]
+                curr = curr[1]
+
+        def __reversed__(self):
+            'od.__reversed__() <==> reversed(od)'
+            root = self.__root
+            curr = root[0]
+            while curr is not root:
+                yield curr[2]
+                curr = curr[0]
+
+        def clear(self):
+            'od.clear() -> None.  Remove all items from od.'
+            try:
+                for node in self.__map.itervalues():
+                    del node[:]
+                root = self.__root
+                root[:] = [root, root, None]
+                self.__map.clear()
+            except AttributeError:
+                pass
+            dict.clear(self)
+
+        def popitem(self, last=True):
+            '''od.popitem() -> (k, v), return and remove a (key, value) pair.
+            Pairs are returned in LIFO order if last is true or FIFO order if false.
+
+            '''
+            if not self:
+                raise KeyError('dictionary is empty')
+            root = self.__root
+            if last:
+                link = root[0]
+                link_prev = link[0]
+                link_prev[1] = root
+                root[0] = link_prev
+            else:
+                link = root[1]
+                link_next = link[1]
+                root[1] = link_next
+                link_next[0] = root
+            key = link[2]
+            del self.__map[key]
+            value = dict.pop(self, key)
+            return key, value
+
+        # -- the following methods do not depend on the internal structure --
+
+        def keys(self):
+            'od.keys() -> list of keys in od'
+            return list(self)
+
+        def values(self):
+            'od.values() -> list of values in od'
+            return [self[key] for key in self]
+
+        def items(self):
+            'od.items() -> list of (key, value) pairs in od'
+            return [(key, self[key]) for key in self]
+
+        def iterkeys(self):
+            'od.iterkeys() -> an iterator over the keys in od'
+            return iter(self)
+
+        def itervalues(self):
+            'od.itervalues -> an iterator over the values in od'
+            for k in self:
+                yield self[k]
+
+        def iteritems(self):
+            'od.iteritems -> an iterator over the (key, value) items in od'
+            for k in self:
+                yield (k, self[k])
+
+        def update(*args, **kwds):
+            '''od.update(E, **F) -> None.  Update od from dict/iterable E and F.
+
+            If E is a dict instance, does:           for k in E: od[k] = E[k]
+            If E has a .keys() method, does:         for k in E.keys(): od[k] = E[k]
+            Or if E is an iterable of items, does:   for k, v in E: od[k] = v
+            In either case, this is followed by:     for k, v in F.items(): od[k] = v
+
+            '''
+            if len(args) > 2:
+                raise TypeError('update() takes at most 2 positional '
+                                'arguments (%d given)' % (len(args), ))
+            elif not args:
+                raise TypeError('update() takes at least 1 argument (0 given)')
+            self = args[0]
+            # Make progressively weaker assumptions about "other"
+            other = ()
+            if len(args) == 2:
+                other = args[1]
+            if isinstance(other, dict):
+                for key in other:
+                    self[key] = other[key]
+            elif hasattr(other, 'keys'):
+                for key in other.keys():
+                    self[key] = other[key]
+            else:
+                for key, value in other:
+                    self[key] = value
+            for key, value in kwds.items():
+                self[key] = value
+
+        __update = update  # let subclasses override update without breaking __init__
+
+        __marker = object()
+
+        def pop(self, key, default=__marker):
+            '''od.pop(k[,d]) -> v, remove specified key and return the corresponding value.
+            If key is not found, d is returned if given, otherwise KeyError is raised.
+
+            '''
+            if key in self:
+                result = self[key]
+                del self[key]
+                return result
+            if default is self.__marker:
+                raise KeyError(key)
+            return default
+
+        def setdefault(self, key, default=None):
+            'od.setdefault(k[,d]) -> od.get(k,d), also set od[k]=d if k not in od'
+            if key in self:
+                return self[key]
+            self[key] = default
+            return default
+
+        def __repr__(self, _repr_running=None):
+            'od.__repr__() <==> repr(od)'
+            if not _repr_running:
+                _repr_running = {}
+            call_key = id(self), _get_ident()
+            if call_key in _repr_running:
+                return '...'
+            _repr_running[call_key] = 1
+            try:
+                if not self:
+                    return '%s()' % (self.__class__.__name__, )
+                return '%s(%r)' % (self.__class__.__name__, self.items())
+            finally:
+                del _repr_running[call_key]
+
+        def __reduce__(self):
+            'Return state information for pickling'
+            items = [[k, self[k]] for k in self]
+            inst_dict = vars(self).copy()
+            for k in vars(OrderedDict()):
+                inst_dict.pop(k, None)
+            if inst_dict:
+                return (self.__class__, (items, ), inst_dict)
+            return self.__class__, (items, )
+
+        def copy(self):
+            'od.copy() -> a shallow copy of od'
+            return self.__class__(self)
+
+        @classmethod
+        def fromkeys(cls, iterable, value=None):
+            '''OD.fromkeys(S[, v]) -> New ordered dictionary with keys from S
+            and values equal to v (which defaults to None).
+
+            '''
+            d = cls()
+            for key in iterable:
+                d[key] = value
+            return d
+
+        def __eq__(self, other):
+            '''od.__eq__(y) <==> od==y.  Comparison to another OD is order-sensitive
+            while comparison to a regular mapping is order-insensitive.
+
+            '''
+            if isinstance(other, OrderedDict):
+                return len(self) == len(other) and self.items() == other.items()
+            return dict.__eq__(self, other)
+
+        def __ne__(self, other):
+            return not self == other
+
+        # -- the following methods are only used in Python 2.7 --
+
+        def viewkeys(self):
+            "od.viewkeys() -> a set-like object providing a view on od's keys"
+            return KeysView(self)
+
+        def viewvalues(self):
+            "od.viewvalues() -> an object providing a view on od's values"
+            return ValuesView(self)
+
+        def viewitems(self):
+            "od.viewitems() -> a set-like object providing a view on od's items"
+            return ItemsView(self)
+
+
+try:
+    from logging.config import BaseConfigurator, valid_ident
+except ImportError:  # pragma: no cover
+    IDENTIFIER = re.compile('^[a-z_][a-z0-9_]*$', re.I)
+
+    def valid_ident(s):
+        m = IDENTIFIER.match(s)
+        if not m:
+            raise ValueError('Not a valid Python identifier: %r' % s)
+        return True
+
+    # The ConvertingXXX classes are wrappers around standard Python containers,
+    # and they serve to convert any suitable values in the container. The
+    # conversion converts base dicts, lists and tuples to their wrapped
+    # equivalents, whereas strings which match a conversion format are converted
+    # appropriately.
+    #
+    # Each wrapper should have a configurator attribute holding the actual
+    # configurator to use for conversion.
+
+    class ConvertingDict(dict):
+        """A converting dictionary wrapper."""
+
+        def __getitem__(self, key):
+            value = dict.__getitem__(self, key)
+            result = self.configurator.convert(value)
+            # If the converted value is different, save for next time
+            if value is not result:
+                self[key] = result
+                if type(result) in (ConvertingDict, ConvertingList, ConvertingTuple):
+                    result.parent = self
+                    result.key = key
+            return result
+
+        def get(self, key, default=None):
+            value = dict.get(self, key, default)
+            result = self.configurator.convert(value)
+            # If the converted value is different, save for next time
+            if value is not result:
+                self[key] = result
+                if type(result) in (ConvertingDict, ConvertingList, ConvertingTuple):
+                    result.parent = self
+                    result.key = key
+            return result
+
+    def pop(self, key, default=None):
+        value = dict.pop(self, key, default)
+        result = self.configurator.convert(value)
+        if value is not result:
+            if type(result) in (ConvertingDict, ConvertingList, ConvertingTuple):
+                result.parent = self
+                result.key = key
+        return result
+
+    class ConvertingList(list):
+        """A converting list wrapper."""
+
+        def __getitem__(self, key):
+            value = list.__getitem__(self, key)
+            result = self.configurator.convert(value)
+            # If the converted value is different, save for next time
+            if value is not result:
+                self[key] = result
+                if type(result) in (ConvertingDict, ConvertingList, ConvertingTuple):
+                    result.parent = self
+                    result.key = key
+            return result
+
+        def pop(self, idx=-1):
+            value = list.pop(self, idx)
+            result = self.configurator.convert(value)
+            if value is not result:
+                if type(result) in (ConvertingDict, ConvertingList, ConvertingTuple):
+                    result.parent = self
+            return result
+
+    class ConvertingTuple(tuple):
+        """A converting tuple wrapper."""
+
+        def __getitem__(self, key):
+            value = tuple.__getitem__(self, key)
+            result = self.configurator.convert(value)
+            if value is not result:
+                if type(result) in (ConvertingDict, ConvertingList, ConvertingTuple):
+                    result.parent = self
+                    result.key = key
+            return result
+
+    class BaseConfigurator(object):
+        """
+        The configurator base class which defines some useful defaults.
+        """
+
+        CONVERT_PATTERN = re.compile(r'^(?P[a-z]+)://(?P.*)$')
+
+        WORD_PATTERN = re.compile(r'^\s*(\w+)\s*')
+        DOT_PATTERN = re.compile(r'^\.\s*(\w+)\s*')
+        INDEX_PATTERN = re.compile(r'^\[\s*(\w+)\s*\]\s*')
+        DIGIT_PATTERN = re.compile(r'^\d+$')
+
+        value_converters = {
+            'ext': 'ext_convert',
+            'cfg': 'cfg_convert',
+        }
+
+        # We might want to use a different one, e.g. importlib
+        importer = staticmethod(__import__)
+
+        def __init__(self, config):
+            self.config = ConvertingDict(config)
+            self.config.configurator = self
+
+        def resolve(self, s):
+            """
+            Resolve strings to objects using standard import and attribute
+            syntax.
+            """
+            name = s.split('.')
+            used = name.pop(0)
+            try:
+                found = self.importer(used)
+                for frag in name:
+                    used += '.' + frag
+                    try:
+                        found = getattr(found, frag)
+                    except AttributeError:
+                        self.importer(used)
+                        found = getattr(found, frag)
+                return found
+            except ImportError:
+                e, tb = sys.exc_info()[1:]
+                v = ValueError('Cannot resolve %r: %s' % (s, e))
+                v.__cause__, v.__traceback__ = e, tb
+                raise v
+
+        def ext_convert(self, value):
+            """Default converter for the ext:// protocol."""
+            return self.resolve(value)
+
+        def cfg_convert(self, value):
+            """Default converter for the cfg:// protocol."""
+            rest = value
+            m = self.WORD_PATTERN.match(rest)
+            if m is None:
+                raise ValueError("Unable to convert %r" % value)
+            else:
+                rest = rest[m.end():]
+                d = self.config[m.groups()[0]]
+                while rest:
+                    m = self.DOT_PATTERN.match(rest)
+                    if m:
+                        d = d[m.groups()[0]]
+                    else:
+                        m = self.INDEX_PATTERN.match(rest)
+                        if m:
+                            idx = m.groups()[0]
+                            if not self.DIGIT_PATTERN.match(idx):
+                                d = d[idx]
+                            else:
+                                try:
+                                    n = int(idx)  # try as number first (most likely)
+                                    d = d[n]
+                                except TypeError:
+                                    d = d[idx]
+                    if m:
+                        rest = rest[m.end():]
+                    else:
+                        raise ValueError('Unable to convert '
+                                         '%r at %r' % (value, rest))
+            # rest should be empty
+            return d
+
+        def convert(self, value):
+            """
+            Convert values to an appropriate type. dicts, lists and tuples are
+            replaced by their converting alternatives. Strings are checked to
+            see if they have a conversion format and are converted if they do.
+            """
+            if not isinstance(value, ConvertingDict) and isinstance(value, dict):
+                value = ConvertingDict(value)
+                value.configurator = self
+            elif not isinstance(value, ConvertingList) and isinstance(value, list):
+                value = ConvertingList(value)
+                value.configurator = self
+            elif not isinstance(value, ConvertingTuple) and isinstance(value, tuple):
+                value = ConvertingTuple(value)
+                value.configurator = self
+            elif isinstance(value, string_types):
+                m = self.CONVERT_PATTERN.match(value)
+                if m:
+                    d = m.groupdict()
+                    prefix = d['prefix']
+                    converter = self.value_converters.get(prefix, None)
+                    if converter:
+                        suffix = d['suffix']
+                        converter = getattr(self, converter)
+                        value = converter(suffix)
+            return value
+
+        def configure_custom(self, config):
+            """Configure an object with a user-supplied factory."""
+            c = config.pop('()')
+            if not callable(c):
+                c = self.resolve(c)
+            props = config.pop('.', None)
+            # Check for valid identifiers
+            kwargs = dict([(k, config[k]) for k in config if valid_ident(k)])
+            result = c(**kwargs)
+            if props:
+                for name, value in props.items():
+                    setattr(result, name, value)
+            return result
+
+        def as_tuple(self, value):
+            """Utility function which converts lists to tuples."""
+            if isinstance(value, list):
+                value = tuple(value)
+            return value
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/resources.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/resources.py
new file mode 100644
index 0000000000000000000000000000000000000000..b908308076bf721cfe0460974de7c4a14cd6e047
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/resources.py
@@ -0,0 +1,372 @@
+# -*- coding: utf-8 -*-
+#
+# Copyright (C) 2013-2026 Vinay Sajip.
+# Licensed to the Python Software Foundation under a contributor agreement.
+# See LICENSE.txt and CONTRIBUTORS.txt.
+#
+from __future__ import unicode_literals
+
+import bisect
+import io
+import logging
+import os
+import pkgutil
+import sys
+import types
+import zipimport
+
+from . import DistlibException
+from .util import cached_property, get_cache_base, Cache
+
+logger = logging.getLogger(__name__)
+
+cache = None  # created when needed
+
+
+class ResourceCache(Cache):
+
+    def __init__(self, base=None):
+        if base is None:
+            # Use native string to avoid issues on 2.x: see Python #20140.
+            base = os.path.join(get_cache_base(), str('resource-cache'))
+        super(ResourceCache, self).__init__(base)
+
+    def is_stale(self, resource, path):
+        """
+        Is the cache stale for the given resource?
+
+        :param resource: The :class:`Resource` being cached.
+        :param path: The path of the resource in the cache.
+        :return: True if the cache is stale.
+        """
+        # Cache invalidation is a hard problem :-)
+        return True
+
+    def get(self, resource):
+        """
+        Get a resource into the cache,
+
+        :param resource: A :class:`Resource` instance.
+        :return: The pathname of the resource in the cache.
+        """
+        prefix, path = resource.finder.get_cache_info(resource)
+        if prefix is None:
+            result = path
+        else:
+            result = os.path.join(self.base, self.prefix_to_dir(prefix), path)
+            dirname = os.path.dirname(result)
+            if not os.path.isdir(dirname):
+                os.makedirs(dirname)
+            if not os.path.exists(result):
+                stale = True
+            else:
+                stale = self.is_stale(resource, path)
+            if stale:
+                # write the bytes of the resource to the cache location
+                with open(result, 'wb') as f:
+                    f.write(resource.bytes)
+        return result
+
+
+class ResourceBase(object):
+
+    def __init__(self, finder, name):
+        self.finder = finder
+        self.name = name
+
+
+class Resource(ResourceBase):
+    """
+    A class representing an in-package resource, such as a data file. This is
+    not normally instantiated by user code, but rather by a
+    :class:`ResourceFinder` which manages the resource.
+    """
+    is_container = False  # Backwards compatibility
+
+    def as_stream(self):
+        """
+        Get the resource as a stream.
+
+        This is not a property to make it obvious that it returns a new stream
+        each time.
+        """
+        return self.finder.get_stream(self)
+
+    @cached_property
+    def file_path(self):
+        global cache
+        if cache is None:
+            cache = ResourceCache()
+        return cache.get(self)
+
+    @cached_property
+    def bytes(self):
+        return self.finder.get_bytes(self)
+
+    @cached_property
+    def size(self):
+        return self.finder.get_size(self)
+
+
+class ResourceContainer(ResourceBase):
+    is_container = True  # Backwards compatibility
+
+    @cached_property
+    def resources(self):
+        return self.finder.get_resources(self)
+
+
+class ResourceFinder(object):
+    """
+    Resource finder for file system resources.
+    """
+
+    if sys.platform.startswith('java'):
+        skipped_extensions = ('.pyc', '.pyo', '.class')
+    else:
+        skipped_extensions = ('.pyc', '.pyo')
+
+    def __init__(self, module):
+        self.module = module
+        self.loader = getattr(module, '__loader__', None)
+        self.base = os.path.dirname(getattr(module, '__file__', ''))
+
+    def _adjust_path(self, path):
+        return os.path.realpath(path)
+
+    def _is_in_base(self, path):
+        base = self._adjust_path(self.base)
+        if path == base:
+            return True
+        if not base.endswith(os.sep):
+            base = base + os.sep
+        return path.startswith(base)
+
+    def _make_path(self, resource_name):
+        # Issue #50: need to preserve type of path on Python 2.x
+        # like os.path._get_sep
+        if isinstance(resource_name, bytes):  # should only happen on 2.x
+            sep = b'/'
+        else:
+            sep = '/'
+        parts = resource_name.split(sep)
+        parts.insert(0, self.base)
+        result = os.path.join(*parts)
+        result = self._adjust_path(result)
+        # Confine the resolved resource to the package base so a resource
+        # name containing '..' cannot read files outside the package.
+        if not self._is_in_base(result):
+            raise DistlibException('Resource name escapes package: '
+                                   '%r' % resource_name)
+        return result
+
+    def _find(self, path):
+        return os.path.exists(path)
+
+    def get_cache_info(self, resource):
+        return None, resource.path
+
+    def find(self, resource_name):
+        path = self._make_path(resource_name)
+        if not self._find(path):
+            result = None
+        else:
+            if self._is_directory(path):
+                result = ResourceContainer(self, resource_name)
+            else:
+                result = Resource(self, resource_name)
+            result.path = path
+        return result
+
+    def get_stream(self, resource):
+        return open(resource.path, 'rb')
+
+    def get_bytes(self, resource):
+        with open(resource.path, 'rb') as f:
+            return f.read()
+
+    def get_size(self, resource):
+        return os.path.getsize(resource.path)
+
+    def get_resources(self, resource):
+
+        def allowed(f):
+            return (f != '__pycache__' and not f.endswith(self.skipped_extensions))
+
+        return set([f for f in os.listdir(resource.path) if allowed(f)])
+
+    def is_container(self, resource):
+        return self._is_directory(resource.path)
+
+    _is_directory = staticmethod(os.path.isdir)
+
+    def iterator(self, resource_name):
+        resource = self.find(resource_name)
+        if resource is not None:
+            todo = [resource]
+            while todo:
+                resource = todo.pop(0)
+                yield resource
+                if resource.is_container:
+                    rname = resource.name
+                    for name in resource.resources:
+                        if not rname:
+                            new_name = name
+                        else:
+                            new_name = '/'.join([rname, name])
+                        child = self.find(new_name)
+                        if child.is_container:
+                            todo.append(child)
+                        else:
+                            yield child
+
+
+class ZipResourceFinder(ResourceFinder):
+    """
+    Resource finder for resources in .zip files.
+    """
+
+    def __init__(self, module):
+        super(ZipResourceFinder, self).__init__(module)
+        archive = self.loader.archive
+        self.prefix_len = 1 + len(archive)
+        # PyPy doesn't have a _files attr on zipimporter, and you can't set one
+        if hasattr(self.loader, '_files'):
+            self._files = self.loader._files
+        else:
+            self._files = zipimport._zip_directory_cache[archive]
+        self.index = sorted(self._files)
+
+    def _adjust_path(self, path):
+        return path
+
+    def _find(self, path):
+        path = path[self.prefix_len:]
+        if path in self._files:
+            result = True
+        else:
+            if path and path[-1] != os.sep:
+                path = path + os.sep
+            i = bisect.bisect(self.index, path)
+            try:
+                result = self.index[i].startswith(path)
+            except IndexError:
+                result = False
+        if not result:
+            logger.debug('_find failed: %r %r', path, self.loader.prefix)
+        else:
+            logger.debug('_find worked: %r %r', path, self.loader.prefix)
+        return result
+
+    def get_cache_info(self, resource):
+        prefix = self.loader.archive
+        path = resource.path[1 + len(prefix):]
+        return prefix, path
+
+    def get_bytes(self, resource):
+        return self.loader.get_data(resource.path)
+
+    def get_stream(self, resource):
+        return io.BytesIO(self.get_bytes(resource))
+
+    def get_size(self, resource):
+        path = resource.path[self.prefix_len:]
+        return self._files[path][3]
+
+    def get_resources(self, resource):
+        path = resource.path[self.prefix_len:]
+        if path and path[-1] != os.sep:
+            path += os.sep
+        plen = len(path)
+        result = set()
+        i = bisect.bisect(self.index, path)
+        while i < len(self.index):
+            if not self.index[i].startswith(path):
+                break
+            s = self.index[i][plen:]
+            result.add(s.split(os.sep, 1)[0])  # only immediate children
+            i += 1
+        return result
+
+    def _is_directory(self, path):
+        path = path[self.prefix_len:]
+        if path and path[-1] != os.sep:
+            path += os.sep
+        i = bisect.bisect(self.index, path)
+        try:
+            result = self.index[i].startswith(path)
+        except IndexError:
+            result = False
+        return result
+
+
+_finder_registry = {type(None): ResourceFinder, zipimport.zipimporter: ZipResourceFinder}
+
+try:
+    # In Python 3.6, _frozen_importlib -> _frozen_importlib_external
+    try:
+        import _frozen_importlib_external as _fi
+    except ImportError:
+        import _frozen_importlib as _fi
+    _finder_registry[_fi.SourceFileLoader] = ResourceFinder
+    _finder_registry[_fi.FileFinder] = ResourceFinder
+    # See issue #146
+    _finder_registry[_fi.SourcelessFileLoader] = ResourceFinder
+    del _fi
+except (ImportError, AttributeError):
+    pass
+
+
+def register_finder(loader, finder_maker):
+    _finder_registry[type(loader)] = finder_maker
+
+
+_finder_cache = {}
+
+
+def finder(package):
+    """
+    Return a resource finder for a package.
+    :param package: The name of the package.
+    :return: A :class:`ResourceFinder` instance for the package.
+    """
+    if package in _finder_cache:
+        result = _finder_cache[package]
+    else:
+        if package not in sys.modules:
+            __import__(package)
+        module = sys.modules[package]
+        path = getattr(module, '__path__', None)
+        if path is None:
+            raise DistlibException('You cannot get a finder for a module, '
+                                   'only for a package')
+        loader = getattr(module, '__loader__', None)
+        finder_maker = _finder_registry.get(type(loader))
+        if finder_maker is None:
+            raise DistlibException('Unable to locate finder for %r' % package)
+        result = finder_maker(module)
+        _finder_cache[package] = result
+    return result
+
+
+_dummy_module = types.ModuleType(str('__dummy__'))
+
+
+def finder_for_path(path):
+    """
+    Return a resource finder for a path, which should represent a container.
+
+    :param path: The path.
+    :return: A :class:`ResourceFinder` instance for the path.
+    """
+    result = None
+    # calls any path hooks, gets importer into cache
+    pkgutil.get_importer(path)
+    loader = sys.path_importer_cache.get(path)
+    finder = _finder_registry.get(type(loader))
+    if finder:
+        module = _dummy_module
+        module.__file__ = os.path.join(path, '')
+        module.__loader__ = loader
+        result = finder(module)
+    return result
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/scripts.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/scripts.py
new file mode 100644
index 0000000000000000000000000000000000000000..ac9e909ece29b0ad5a3fb0630088aa7de98858c0
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/scripts.py
@@ -0,0 +1,451 @@
+# -*- coding: utf-8 -*-
+#
+# Copyright (C) 2013-2026 Vinay Sajip.
+# Licensed to the Python Software Foundation under a contributor agreement.
+# See LICENSE.txt and CONTRIBUTORS.txt.
+#
+from io import BytesIO
+import logging
+import os
+import re
+import struct
+import sys
+import time
+from zipfile import ZipInfo
+
+from . import DistlibException
+from .compat import sysconfig, detect_encoding, ZipFile
+from .resources import finder
+from .util import (FileOperator, get_export_entry, convert_path, get_executable, get_platform, in_venv,
+                   is_in_directory)
+
+logger = logging.getLogger(__name__)
+
+_DEFAULT_MANIFEST = '''
+
+
+ 
+
+ 
+ 
+ 
+ 
+ 
+ 
+ 
+ 
+'''.strip()
+
+# check if Python is called on the first line with this expression
+FIRST_LINE_RE = re.compile(b'^#!.*pythonw?[0-9.]*([ \t].*)?$')
+SCRIPT_TEMPLATE = r'''# -*- coding: utf-8 -*-
+import re
+import sys
+if __name__ == '__main__':
+    from %(module)s import %(import_name)s
+    sys.argv[0] = re.sub(r'(-script\.pyw|\.exe)?$', '', sys.argv[0])
+    sys.exit(%(func)s())
+'''
+
+# Pre-fetch the contents of all executable wrapper stubs.
+# This is to address https://github.com/pypa/pip/issues/12666.
+# When updating pip, we rename the old pip in place before installing the
+# new version. If we try to fetch a wrapper *after* that rename, the finder
+# machinery will be confused as the package is no longer available at the
+# location where it was imported from. So we load everything into memory in
+# advance.
+
+if os.name == 'nt' or (os.name == 'java' and os._name == 'nt'):
+    # Issue 31: don't hardcode an absolute package name, but
+    # determine it relative to the current package
+    DISTLIB_PACKAGE = __name__.rsplit('.', 1)[0]
+
+    WRAPPERS = {
+        r.name: r.bytes
+        for r in finder(DISTLIB_PACKAGE).iterator("")
+        if r.name.endswith(".exe")
+    }
+
+
+def enquote_executable(executable):
+    if ' ' in executable:
+        # make sure we quote only the executable in case of env
+        # for example /usr/bin/env "/dir with spaces/bin/jython"
+        # instead of "/usr/bin/env /dir with spaces/bin/jython"
+        # otherwise whole
+        if executable.startswith('/usr/bin/env '):
+            env, _executable = executable.split(' ', 1)
+            if ' ' in _executable and not _executable.startswith('"'):
+                executable = '%s "%s"' % (env, _executable)
+        else:
+            if not executable.startswith('"'):
+                executable = '"%s"' % executable
+    return executable
+
+
+# Keep the old name around (for now), as there is at least one project using it!
+_enquote_executable = enquote_executable
+
+
+class ScriptMaker(object):
+    """
+    A class to copy or create scripts from source scripts or callable
+    specifications.
+    """
+    script_template = SCRIPT_TEMPLATE
+
+    executable = None  # for shebangs
+
+    def __init__(self, source_dir, target_dir, add_launchers=True, dry_run=False, fileop=None):
+        self.source_dir = source_dir
+        self.target_dir = target_dir
+        self.add_launchers = add_launchers
+        self.force = False
+        self.clobber = False
+        # It only makes sense to set mode bits on POSIX.
+        self.set_mode = (os.name == 'posix') or (os.name == 'java' and os._name == 'posix')
+        self.variants = set(('', 'X.Y'))
+        self._fileop = fileop or FileOperator(dry_run)
+
+        self._is_nt = os.name == 'nt' or (os.name == 'java' and os._name == 'nt')
+        self.version_info = sys.version_info
+
+    def _get_alternate_executable(self, executable, options):
+        if options.get('gui', False) and self._is_nt:  # pragma: no cover
+            dn, fn = os.path.split(executable)
+            fn = fn.replace('python', 'pythonw')
+            executable = os.path.join(dn, fn)
+        return executable
+
+    if sys.platform.startswith('java'):  # pragma: no cover
+
+        def _is_shell(self, executable):
+            """
+            Determine if the specified executable is a script
+            (contains a #! line)
+            """
+            try:
+                with open(executable) as fp:
+                    return fp.read(2) == '#!'
+            except (OSError, IOError):
+                logger.warning('Failed to open %s', executable)
+                return False
+
+        def _fix_jython_executable(self, executable):
+            if self._is_shell(executable):
+                # Workaround for Jython is not needed on Linux systems.
+                import java
+
+                if java.lang.System.getProperty('os.name') == 'Linux':
+                    return executable
+            elif executable.lower().endswith('jython.exe'):
+                # Use wrapper exe for Jython on Windows
+                return executable
+            return '/usr/bin/env %s' % executable
+
+    def _build_shebang(self, executable, post_interp):
+        """
+        Build a shebang line. In the simple case (on Windows, or a shebang line
+        which is not too long or contains spaces) use a simple formulation for
+        the shebang. Otherwise, use /bin/sh as the executable, with a contrived
+        shebang which allows the script to run either under Python or sh, using
+        suitable quoting. Thanks to Harald Nordgren for his input.
+
+        See also: http://www.in-ulm.de/~mascheck/various/shebang/#length
+                  https://hg.mozilla.org/mozilla-central/file/tip/mach
+        """
+        if os.name != 'posix':
+            simple_shebang = True
+        elif getattr(sys, "cross_compiling", False):
+            # In a cross-compiling environment, the shebang will likely be a
+            # script; this *must* be invoked with the "safe" version of the
+            # shebang, or else using os.exec() to run the entry script will
+            # fail, raising "OSError 8 [Errno 8] Exec format error".
+            simple_shebang = False
+        else:
+            # Add 3 for '#!' prefix and newline suffix.
+            shebang_length = len(executable) + len(post_interp) + 3
+            if sys.platform == 'darwin':
+                max_shebang_length = 512
+            else:
+                max_shebang_length = 127
+            simple_shebang = ((b' ' not in executable) and (shebang_length <= max_shebang_length))
+
+        if simple_shebang:
+            result = b'#!' + executable + post_interp + b'\n'
+        else:
+            result = b'#!/bin/sh\n'
+            result += b"'''exec' " + executable + post_interp + b' "$0" "$@"\n'
+            result += b"' '''\n"
+        return result
+
+    def _get_shebang(self, encoding, post_interp=b'', options=None):
+        enquote = True
+        if self.executable:
+            executable = self.executable
+            enquote = False  # assume this will be taken care of
+        elif not sysconfig.is_python_build():
+            executable = get_executable()
+        elif in_venv():  # pragma: no cover
+            executable = os.path.join(sysconfig.get_path('scripts'), 'python%s' % sysconfig.get_config_var('EXE'))
+        else:  # pragma: no cover
+            if os.name == 'nt':
+                # for Python builds from source on Windows, no Python executables with
+                # a version suffix are created, so we use python.exe
+                executable = os.path.join(sysconfig.get_config_var('BINDIR'),
+                                          'python%s' % (sysconfig.get_config_var('EXE')))
+            else:
+                executable = os.path.join(
+                    sysconfig.get_config_var('BINDIR'),
+                    'python%s%s' % (sysconfig.get_config_var('VERSION'), sysconfig.get_config_var('EXE')))
+        if options:
+            executable = self._get_alternate_executable(executable, options)
+
+        if sys.platform.startswith('java'):  # pragma: no cover
+            executable = self._fix_jython_executable(executable)
+
+        # Normalise case for Windows - COMMENTED OUT
+        # executable = os.path.normcase(executable)
+        # N.B. The normalising operation above has been commented out: See
+        # issue #124. Although paths in Windows are generally case-insensitive,
+        # they aren't always. For example, a path containing a ẞ (which is a
+        # LATIN CAPITAL LETTER SHARP S - U+1E9E) is normcased to ß (which is a
+        # LATIN SMALL LETTER SHARP S' - U+00DF). The two are not considered by
+        # Windows as equivalent in path names.
+
+        # If the user didn't specify an executable, it may be necessary to
+        # cater for executable paths with spaces (not uncommon on Windows)
+        if enquote:
+            executable = enquote_executable(executable)
+        # Issue #51: don't use fsencode, since we later try to
+        # check that the shebang is decodable using utf-8.
+        executable = executable.encode('utf-8')
+        # in case of IronPython, play safe and enable frames support
+        if (sys.platform == 'cli' and '-X:Frames' not in post_interp and
+                '-X:FullFrames' not in post_interp):  # pragma: no cover
+            post_interp += b' -X:Frames'
+        shebang = self._build_shebang(executable, post_interp)
+        # Python parser starts to read a script using UTF-8 until
+        # it gets a #coding:xxx cookie. The shebang has to be the
+        # first line of a file, the #coding:xxx cookie cannot be
+        # written before. So the shebang has to be decodable from
+        # UTF-8.
+        try:
+            shebang.decode('utf-8')
+        except UnicodeDecodeError:  # pragma: no cover
+            raise ValueError('The shebang (%r) is not decodable from utf-8' % shebang)
+        # If the script is encoded to a custom encoding (use a
+        # #coding:xxx cookie), the shebang has to be decodable from
+        # the script encoding too.
+        if encoding != 'utf-8':
+            try:
+                shebang.decode(encoding)
+            except UnicodeDecodeError:  # pragma: no cover
+                raise ValueError('The shebang (%r) is not decodable '
+                                 'from the script encoding (%r)' % (shebang, encoding))
+        return shebang
+
+    def _get_script_text(self, entry):
+        return self.script_template % dict(
+            module=entry.prefix, import_name=entry.suffix.split('.')[0], func=entry.suffix)
+
+    manifest = _DEFAULT_MANIFEST
+
+    def get_manifest(self, exename):
+        base = os.path.basename(exename)
+        return self.manifest % base
+
+    def _write_script(self, names, shebang, script_bytes, filenames, ext):
+        use_launcher = self.add_launchers and self._is_nt
+        if not use_launcher:
+            script_bytes = shebang + script_bytes
+        else:  # pragma: no cover
+            if ext == 'py':
+                launcher = self._get_launcher('t')
+            else:
+                launcher = self._get_launcher('w')
+            stream = BytesIO()
+            with ZipFile(stream, 'w') as zf:
+                source_date_epoch = os.environ.get('SOURCE_DATE_EPOCH')
+                if source_date_epoch:
+                    date_time = time.gmtime(int(source_date_epoch))[:6]
+                    zinfo = ZipInfo(filename='__main__.py', date_time=date_time)
+                    zf.writestr(zinfo, script_bytes)
+                else:
+                    zf.writestr('__main__.py', script_bytes)
+            zip_data = stream.getvalue()
+            script_bytes = launcher + shebang + zip_data
+        for name in names:
+            outname = os.path.abspath(os.path.join(self.target_dir, name))
+            if not is_in_directory(outname, self.target_dir):
+                raise DistlibException('Attempt to escape script directory')
+            if use_launcher:  # pragma: no cover
+                n, e = os.path.splitext(outname)
+                if e.startswith('.py'):
+                    outname = n
+                outname = '%s.exe' % outname
+                try:
+                    self._fileop.write_binary_file(outname, script_bytes)
+                except Exception:
+                    # Failed writing an executable - it might be in use.
+                    logger.warning('Failed to write executable - trying to '
+                                   'use .deleteme logic')
+                    dfname = '%s.deleteme' % outname
+                    if os.path.exists(dfname):
+                        os.remove(dfname)  # Not allowed to fail here
+                    os.rename(outname, dfname)  # nor here
+                    self._fileop.write_binary_file(outname, script_bytes)
+                    logger.debug('Able to replace executable using '
+                                 '.deleteme logic')
+                    try:
+                        os.remove(dfname)
+                    except Exception:
+                        pass  # still in use - ignore error
+            else:
+                if self._is_nt and not outname.endswith('.' + ext):  # pragma: no cover
+                    outname = '%s.%s' % (outname, ext)
+                if os.path.exists(outname) and not self.clobber:
+                    logger.warning('Skipping existing file %s', outname)
+                    continue
+                self._fileop.write_binary_file(outname, script_bytes)
+                if self.set_mode:
+                    self._fileop.set_executable_mode([outname])
+            filenames.append(outname)
+
+    variant_separator = '-'
+
+    def get_script_filenames(self, name):
+        result = set()
+        if '' in self.variants:
+            result.add(name)
+        if 'X' in self.variants:
+            result.add('%s%s' % (name, self.version_info[0]))
+        if 'X.Y' in self.variants:
+            result.add('%s%s%s.%s' % (name, self.variant_separator, self.version_info[0], self.version_info[1]))
+        return result
+
+    def _make_script(self, entry, filenames, options=None):
+        post_interp = b''
+        if options:
+            args = options.get('interpreter_args', [])
+            if args:
+                args = ' %s' % ' '.join(args)
+                post_interp = args.encode('utf-8')
+        shebang = self._get_shebang('utf-8', post_interp, options=options)
+        script = self._get_script_text(entry).encode('utf-8')
+        scriptnames = self.get_script_filenames(entry.name)
+        if options and options.get('gui', False):
+            ext = 'pyw'
+        else:
+            ext = 'py'
+        self._write_script(scriptnames, shebang, script, filenames, ext)
+
+    def _copy_script(self, script, filenames):
+        adjust = False
+        script = os.path.join(self.source_dir, convert_path(script))
+        outname = os.path.join(self.target_dir, os.path.basename(script))
+        if not self.force and not self._fileop.newer(script, outname):
+            logger.debug('not copying %s (up-to-date)', script)
+            return
+
+        # Always open the file, but ignore failures in dry-run mode --
+        # that way, we'll get accurate feedback if we can read the
+        # script.
+        try:
+            f = open(script, 'rb')
+        except IOError:  # pragma: no cover
+            if not self.dry_run:
+                raise
+            f = None
+        else:
+            first_line = f.readline()
+            if not first_line:  # pragma: no cover
+                logger.warning('%s is an empty file (skipping)', script)
+                return
+
+            match = FIRST_LINE_RE.match(first_line.replace(b'\r\n', b'\n'))
+            if match:
+                adjust = True
+                post_interp = match.group(1) or b''
+
+        if not adjust:
+            if f:
+                f.close()
+            self._fileop.copy_file(script, outname)
+            if self.set_mode:
+                self._fileop.set_executable_mode([outname])
+            filenames.append(outname)
+        else:
+            logger.info('copying and adjusting %s -> %s', script, self.target_dir)
+            if not self._fileop.dry_run:
+                encoding, lines = detect_encoding(f.readline)
+                f.seek(0)
+                shebang = self._get_shebang(encoding, post_interp)
+                if b'pythonw' in first_line:  # pragma: no cover
+                    ext = 'pyw'
+                else:
+                    ext = 'py'
+                n = os.path.basename(outname)
+                self._write_script([n], shebang, f.read(), filenames, ext)
+            if f:
+                f.close()
+
+    @property
+    def dry_run(self):
+        return self._fileop.dry_run
+
+    @dry_run.setter
+    def dry_run(self, value):
+        self._fileop.dry_run = value
+
+    if os.name == 'nt' or (os.name == 'java' and os._name == 'nt'):  # pragma: no cover
+        # Executable launcher support.
+        # Launchers are from https://bitbucket.org/vinay.sajip/simple_launcher/
+
+        def _get_launcher(self, kind):
+            if struct.calcsize('P') == 8:  # 64-bit
+                bits = '64'
+            else:
+                bits = '32'
+            platform_suffix = '-arm' if get_platform() == 'win-arm64' else ''
+            name = '%s%s%s.exe' % (kind, bits, platform_suffix)
+            if name not in WRAPPERS:
+                msg = ('Unable to find resource %s in package %s' %
+                       (name, DISTLIB_PACKAGE))
+                raise ValueError(msg)
+            return WRAPPERS[name]
+
+    # Public API follows
+
+    def make(self, specification, options=None):
+        """
+        Make a script.
+
+        :param specification: The specification, which is either a valid export
+                              entry specification (to make a script from a
+                              callable) or a filename (to make a script by
+                              copying from a source location).
+        :param options: A dictionary of options controlling script generation.
+        :return: A list of all absolute pathnames written to.
+        """
+        filenames = []
+        entry = get_export_entry(specification)
+        if entry is None:
+            self._copy_script(specification, filenames)
+        else:
+            self._make_script(entry, filenames, options=options)
+        return filenames
+
+    def make_multiple(self, specifications, options=None):
+        """
+        Take a list of specifications and make scripts from them,
+        :param specifications: A list of specifications.
+        :return: A list of all absolute pathnames written to,
+        """
+        filenames = []
+        for specification in specifications:
+            filenames.extend(self.make(specification, options))
+        return filenames
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/t32.exe b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/t32.exe
new file mode 100644
index 0000000000000000000000000000000000000000..52154f0be32cc2bdbf98af131d477900667d0abd
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/t64-arm.exe b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/t64-arm.exe
new file mode 100644
index 0000000000000000000000000000000000000000..4c236ed0ab8253ceee9276ddc3cf5ed9a7ea6a4c
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/t64-arm.exe
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebc4c06b7d95e74e315419ee7e88e1d0f71e9e9477538c00a93a9ff8c66a6cfc
+size 182784
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/t64.exe b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/t64.exe
new file mode 100644
index 0000000000000000000000000000000000000000..3fd3d2df6541617229f21bdbb49fbbfc880b7f50
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/t64.exe
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81a618f21cb87db9076134e70388b6e9cb7c2106739011b6a51772d22cae06b7
+size 108032
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/util.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/util.py
new file mode 100644
index 0000000000000000000000000000000000000000..b120ca80558ba7457f084f1e580915a3af5b5e5d
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distlib/util.py
@@ -0,0 +1,2021 @@
+#
+# Copyright (C) 2012-2026 The Python Software Foundation.
+# See LICENSE.txt and CONTRIBUTORS.txt.
+#
+import codecs
+from collections import deque
+import contextlib
+import csv
+from glob import iglob as std_iglob
+import io
+import json
+import logging
+import os
+import py_compile
+import re
+import socket
+try:
+    import ssl
+except ImportError:  # pragma: no cover
+    ssl = None
+import subprocess
+import sys
+import tarfile
+import tempfile
+import textwrap
+
+try:
+    import threading
+except ImportError:  # pragma: no cover
+    import dummy_threading as threading
+import time
+
+from . import DistlibException
+from .compat import (string_types, text_type, shutil, raw_input, StringIO, cache_from_source, urlopen, urljoin, httplib,
+                     xmlrpclib, HTTPHandler, BaseConfigurator, valid_ident, Container, configparser, URLError, ZipFile,
+                     fsdecode, unquote, urlparse)
+
+logger = logging.getLogger(__name__)
+
+#
+# Requirement parsing code as per PEP 508
+#
+
+IDENTIFIER = re.compile(r'^([\w\.-]+)\s*')
+VERSION_IDENTIFIER = re.compile(r'^([\w\.*+-]+)\s*')
+COMPARE_OP = re.compile(r'^(<=?|>=?|={2,3}|[~!]=)\s*')
+MARKER_OP = re.compile(r'^((<=?)|(>=?)|={2,3}|[~!]=|in|not\s+in)\s*')
+OR = re.compile(r'^or\b\s*')
+AND = re.compile(r'^and\b\s*')
+NON_SPACE = re.compile(r'(\S+)\s*')
+STRING_CHUNK = re.compile(r'([\s\w\.{}()*+#:;,/?!~`@$%^&=|<>\[\]-]+)')
+
+
+def parse_marker(marker_string):
+    """
+    Parse a marker string and return a dictionary containing a marker expression.
+
+    The dictionary will contain keys "op", "lhs" and "rhs" for non-terminals in
+    the expression grammar, or strings. A string contained in quotes is to be
+    interpreted as a literal string, and a string not contained in quotes is a
+    variable (such as os_name).
+    """
+
+    def marker_var(remaining):
+        # either identifier, or literal string
+        m = IDENTIFIER.match(remaining)
+        if m:
+            result = m.groups()[0]
+            remaining = remaining[m.end():]
+        elif not remaining:
+            raise SyntaxError('unexpected end of input')
+        else:
+            q = remaining[0]
+            if q not in '\'"':
+                raise SyntaxError('invalid expression: %s' % remaining)
+            oq = '\'"'.replace(q, '')
+            remaining = remaining[1:]
+            parts = [q]
+            while remaining:
+                # either a string chunk, or oq, or q to terminate
+                if remaining[0] == q:
+                    break
+                elif remaining[0] == oq:
+                    parts.append(oq)
+                    remaining = remaining[1:]
+                else:
+                    m = STRING_CHUNK.match(remaining)
+                    if not m:
+                        raise SyntaxError('error in string literal: %s' % remaining)
+                    parts.append(m.groups()[0])
+                    remaining = remaining[m.end():]
+            else:
+                s = ''.join(parts)
+                raise SyntaxError('unterminated string: %s' % s)
+            parts.append(q)
+            result = ''.join(parts)
+            remaining = remaining[1:].lstrip()  # skip past closing quote
+        return result, remaining
+
+    def marker_expr(remaining):
+        if remaining and remaining[0] == '(':
+            result, remaining = marker(remaining[1:].lstrip())
+            if remaining[0] != ')':
+                raise SyntaxError('unterminated parenthesis: %s' % remaining)
+            remaining = remaining[1:].lstrip()
+        else:
+            lhs, remaining = marker_var(remaining)
+            while remaining:
+                m = MARKER_OP.match(remaining)
+                if not m:
+                    break
+                op = m.groups()[0]
+                remaining = remaining[m.end():]
+                rhs, remaining = marker_var(remaining)
+                lhs = {'op': op, 'lhs': lhs, 'rhs': rhs}
+            result = lhs
+        return result, remaining
+
+    def marker_and(remaining):
+        lhs, remaining = marker_expr(remaining)
+        while remaining:
+            m = AND.match(remaining)
+            if not m:
+                break
+            remaining = remaining[m.end():]
+            rhs, remaining = marker_expr(remaining)
+            lhs = {'op': 'and', 'lhs': lhs, 'rhs': rhs}
+        return lhs, remaining
+
+    def marker(remaining):
+        lhs, remaining = marker_and(remaining)
+        while remaining:
+            m = OR.match(remaining)
+            if not m:
+                break
+            remaining = remaining[m.end():]
+            rhs, remaining = marker_and(remaining)
+            lhs = {'op': 'or', 'lhs': lhs, 'rhs': rhs}
+        return lhs, remaining
+
+    return marker(marker_string)
+
+
+def parse_requirement(req):
+    """
+    Parse a requirement passed in as a string. Return a Container
+    whose attributes contain the various parts of the requirement.
+    """
+    remaining = req.strip()
+    if not remaining or remaining.startswith('#'):
+        return None
+    m = IDENTIFIER.match(remaining)
+    if not m:
+        raise SyntaxError('name expected: %s' % remaining)
+    distname = m.groups()[0]
+    remaining = remaining[m.end():]
+    extras = mark_expr = versions = uri = None
+    if remaining and remaining[0] == '[':
+        i = remaining.find(']', 1)
+        if i < 0:
+            raise SyntaxError('unterminated extra: %s' % remaining)
+        s = remaining[1:i]
+        remaining = remaining[i + 1:].lstrip()
+        extras = []
+        while s:
+            m = IDENTIFIER.match(s)
+            if not m:
+                raise SyntaxError('malformed extra: %s' % s)
+            extras.append(m.groups()[0])
+            s = s[m.end():]
+            if not s:
+                break
+            if s[0] != ',':
+                raise SyntaxError('comma expected in extras: %s' % s)
+            s = s[1:].lstrip()
+        if not extras:
+            extras = None
+    if remaining:
+        if remaining[0] == '@':
+            # it's a URI
+            remaining = remaining[1:].lstrip()
+            m = NON_SPACE.match(remaining)
+            if not m:
+                raise SyntaxError('invalid URI: %s' % remaining)
+            uri = m.groups()[0]
+            t = urlparse(uri)
+            # there are issues with Python and URL parsing, so this test
+            # is a bit crude. See bpo-20271, bpo-23505. Python doesn't
+            # always parse invalid URLs correctly - it should raise
+            # exceptions for malformed URLs
+            if not (t.scheme and t.netloc):
+                raise SyntaxError('Invalid URL: %s' % uri)
+            remaining = remaining[m.end():].lstrip()
+        else:
+
+            def get_versions(ver_remaining):
+                """
+                Return a list of operator, version tuples if any are
+                specified, else None.
+                """
+                m = COMPARE_OP.match(ver_remaining)
+                versions = None
+                if m:
+                    versions = []
+                    while True:
+                        op = m.groups()[0]
+                        ver_remaining = ver_remaining[m.end():]
+                        m = VERSION_IDENTIFIER.match(ver_remaining)
+                        if not m:
+                            raise SyntaxError('invalid version: %s' % ver_remaining)
+                        v = m.groups()[0]
+                        versions.append((op, v))
+                        ver_remaining = ver_remaining[m.end():]
+                        if not ver_remaining or ver_remaining[0] != ',':
+                            break
+                        ver_remaining = ver_remaining[1:].lstrip()
+                        # Some packages have a trailing comma which would break things
+                        # See issue #148
+                        if not ver_remaining:
+                            break
+                        m = COMPARE_OP.match(ver_remaining)
+                        if not m:
+                            raise SyntaxError('invalid constraint: %s' % ver_remaining)
+                    if not versions:
+                        versions = None
+                return versions, ver_remaining
+
+            if remaining[0] != '(':
+                versions, remaining = get_versions(remaining)
+            else:
+                i = remaining.find(')', 1)
+                if i < 0:
+                    raise SyntaxError('unterminated parenthesis: %s' % remaining)
+                s = remaining[1:i]
+                remaining = remaining[i + 1:].lstrip()
+                # As a special diversion from PEP 508, allow a version number
+                # a.b.c in parentheses as a synonym for ~= a.b.c (because this
+                # is allowed in earlier PEPs)
+                if COMPARE_OP.match(s):
+                    versions, _ = get_versions(s)
+                else:
+                    m = VERSION_IDENTIFIER.match(s)
+                    if not m:
+                        raise SyntaxError('invalid constraint: %s' % s)
+                    v = m.groups()[0]
+                    s = s[m.end():].lstrip()
+                    if s:
+                        raise SyntaxError('invalid constraint: %s' % s)
+                    versions = [('~=', v)]
+
+    if remaining:
+        if remaining[0] != ';':
+            raise SyntaxError('invalid requirement: %s' % remaining)
+        remaining = remaining[1:].lstrip()
+
+        mark_expr, remaining = parse_marker(remaining)
+
+    if remaining and remaining[0] != '#':
+        raise SyntaxError('unexpected trailing data: %s' % remaining)
+
+    if not versions:
+        rs = distname
+    else:
+        rs = '%s %s' % (distname, ', '.join(['%s %s' % con for con in versions]))
+    return Container(name=distname, extras=extras, constraints=versions, marker=mark_expr, url=uri, requirement=rs)
+
+
+def get_resources_dests(resources_root, rules):
+    """Find destinations for resources files"""
+
+    def get_rel_path(root, path):
+        # normalizes and returns a lstripped-/-separated path
+        root = root.replace(os.path.sep, '/')
+        path = path.replace(os.path.sep, '/')
+        assert path.startswith(root)
+        return path[len(root):].lstrip('/')
+
+    destinations = {}
+    for base, suffix, dest in rules:
+        prefix = os.path.join(resources_root, base)
+        for abs_base in iglob(prefix):
+            abs_glob = os.path.join(abs_base, suffix)
+            for abs_path in iglob(abs_glob):
+                resource_file = get_rel_path(resources_root, abs_path)
+                if dest is None:  # remove the entry if it was here
+                    destinations.pop(resource_file, None)
+                else:
+                    rel_path = get_rel_path(abs_base, abs_path)
+                    rel_dest = dest.replace(os.path.sep, '/').rstrip('/')
+                    destinations[resource_file] = rel_dest + '/' + rel_path
+    return destinations
+
+
+def in_venv():
+    if hasattr(sys, 'real_prefix'):
+        # virtualenv venvs
+        result = True
+    else:
+        # PEP 405 venvs
+        result = sys.prefix != getattr(sys, 'base_prefix', sys.prefix)
+    return result
+
+
+def get_executable():
+    # The __PYVENV_LAUNCHER__ dance is apparently no longer needed, as
+    # changes to the stub launcher mean that sys.executable always points
+    # to the stub on OS X
+    #    if sys.platform == 'darwin' and ('__PYVENV_LAUNCHER__'
+    #                                     in os.environ):
+    #        result =  os.environ['__PYVENV_LAUNCHER__']
+    #    else:
+    #        result = sys.executable
+    #    return result
+    # Avoid normcasing: see issue #143
+    # result = os.path.normcase(sys.executable)
+    result = sys.executable
+    if not isinstance(result, text_type):
+        result = fsdecode(result)
+    return result
+
+
+def proceed(prompt, allowed_chars, error_prompt=None, default=None):
+    p = prompt
+    while True:
+        s = raw_input(p)
+        p = prompt
+        if not s and default:
+            s = default
+        if s:
+            c = s[0].lower()
+            if c in allowed_chars:
+                break
+            if error_prompt:
+                p = '%c: %s\n%s' % (c, error_prompt, prompt)
+    return c
+
+
+def extract_by_key(d, keys):
+    if isinstance(keys, string_types):
+        keys = keys.split()
+    result = {}
+    for key in keys:
+        if key in d:
+            result[key] = d[key]
+    return result
+
+
+def read_exports(stream):
+    if sys.version_info[0] >= 3:
+        # needs to be a text stream
+        stream = codecs.getreader('utf-8')(stream)
+    # Try to load as JSON, falling back on legacy format
+    data = stream.read()
+    stream = StringIO(data)
+    try:
+        jdata = json.load(stream)
+        result = jdata['extensions']['python.exports']['exports']
+        for group, entries in result.items():
+            for k, v in entries.items():
+                s = '%s = %s' % (k, v)
+                entry = get_export_entry(s)
+                assert entry is not None
+                entries[k] = entry
+        return result
+    except Exception:
+        stream.seek(0, 0)
+
+    def read_stream(cp, stream):
+        if hasattr(cp, 'read_file'):
+            cp.read_file(stream)
+        else:
+            cp.readfp(stream)
+
+    cp = configparser.ConfigParser()
+    try:
+        read_stream(cp, stream)
+    except configparser.MissingSectionHeaderError:
+        stream.close()
+        data = textwrap.dedent(data)
+        stream = StringIO(data)
+        read_stream(cp, stream)
+
+    result = {}
+    for key in cp.sections():
+        result[key] = entries = {}
+        for name, value in cp.items(key):
+            s = '%s = %s' % (name, value)
+            entry = get_export_entry(s)
+            assert entry is not None
+            # entry.dist = self
+            entries[name] = entry
+    return result
+
+
+def write_exports(exports, stream):
+    if sys.version_info[0] >= 3:
+        # needs to be a text stream
+        stream = codecs.getwriter('utf-8')(stream)
+    cp = configparser.ConfigParser()
+    for k, v in exports.items():
+        # TODO check k, v for valid values
+        cp.add_section(k)
+        for entry in v.values():
+            if entry.suffix is None:
+                s = entry.prefix
+            else:
+                s = '%s:%s' % (entry.prefix, entry.suffix)
+            if entry.flags:
+                s = '%s [%s]' % (s, ', '.join(entry.flags))
+            cp.set(k, entry.name, s)
+    cp.write(stream)
+
+
+@contextlib.contextmanager
+def tempdir():
+    td = tempfile.mkdtemp()
+    try:
+        yield td
+    finally:
+        shutil.rmtree(td)
+
+
+@contextlib.contextmanager
+def chdir(d):
+    cwd = os.getcwd()
+    try:
+        os.chdir(d)
+        yield
+    finally:
+        os.chdir(cwd)
+
+
+@contextlib.contextmanager
+def socket_timeout(seconds=15):
+    cto = socket.getdefaulttimeout()
+    try:
+        socket.setdefaulttimeout(seconds)
+        yield
+    finally:
+        socket.setdefaulttimeout(cto)
+
+
+class cached_property(object):
+
+    def __init__(self, func):
+        self.func = func
+        # for attr in ('__name__', '__module__', '__doc__'):
+        #     setattr(self, attr, getattr(func, attr, None))
+
+    def __get__(self, obj, cls=None):
+        if obj is None:
+            return self
+        value = self.func(obj)
+        object.__setattr__(obj, self.func.__name__, value)
+        # obj.__dict__[self.func.__name__] = value = self.func(obj)
+        return value
+
+
+def convert_path(pathname):
+    """Return 'pathname' as a name that will work on the native filesystem.
+
+    The path is split on '/' and put back together again using the current
+    directory separator.  Needed because filenames in the setup script are
+    always supplied in Unix style, and have to be converted to the local
+    convention before we can actually use them in the filesystem.  Raises
+    ValueError on non-Unix-ish systems if 'pathname' either starts or
+    ends with a slash.
+    """
+    if os.sep == '/':
+        return pathname
+    if not pathname:
+        return pathname
+    if pathname[0] == '/':
+        raise ValueError("path '%s' cannot be absolute" % pathname)
+    if pathname[-1] == '/':
+        raise ValueError("path '%s' cannot end with '/'" % pathname)
+
+    paths = pathname.split('/')
+    while os.curdir in paths:
+        paths.remove(os.curdir)
+    if not paths:
+        return os.curdir
+    return os.path.join(*paths)
+
+
+class FileOperator(object):
+
+    def __init__(self, dry_run=False):
+        self.dry_run = dry_run
+        self.ensured = set()
+        self._init_record()
+
+    def _init_record(self):
+        self.record = False
+        self.files_written = set()
+        self.dirs_created = set()
+
+    def record_as_written(self, path):
+        if self.record:
+            self.files_written.add(path)
+
+    def newer(self, source, target):
+        """Tell if the target is newer than the source.
+
+        Returns true if 'source' exists and is more recently modified than
+        'target', or if 'source' exists and 'target' doesn't.
+
+        Returns false if both exist and 'target' is the same age or younger
+        than 'source'. Raise PackagingFileError if 'source' does not exist.
+
+        Note that this test is not very accurate: files created in the same
+        second will have the same "age".
+        """
+        if not os.path.exists(source):
+            raise DistlibException("file '%r' does not exist" % os.path.abspath(source))
+        if not os.path.exists(target):
+            return True
+
+        return os.stat(source).st_mtime > os.stat(target).st_mtime
+
+    def copy_file(self, infile, outfile, check=True):
+        """Copy a file respecting dry-run and force flags.
+        """
+        self.ensure_dir(os.path.dirname(outfile))
+        logger.info('Copying %s to %s', infile, outfile)
+        if not self.dry_run:
+            msg = None
+            if check:
+                if os.path.islink(outfile):
+                    msg = '%s is a symlink' % outfile
+                elif os.path.exists(outfile) and not os.path.isfile(outfile):
+                    msg = '%s is a non-regular file' % outfile
+            if msg:
+                raise ValueError(msg + ' which would be overwritten')
+            shutil.copyfile(infile, outfile)
+        self.record_as_written(outfile)
+
+    def copy_stream(self, instream, outfile, encoding=None):
+        assert not os.path.isdir(outfile)
+        self.ensure_dir(os.path.dirname(outfile))
+        logger.info('Copying stream %s to %s', instream, outfile)
+        if not self.dry_run:
+            if encoding is None:
+                outstream = open(outfile, 'wb')
+            else:
+                outstream = codecs.open(outfile, 'w', encoding=encoding)
+            try:
+                shutil.copyfileobj(instream, outstream)
+            finally:
+                outstream.close()
+        self.record_as_written(outfile)
+
+    def write_binary_file(self, path, data):
+        self.ensure_dir(os.path.dirname(path))
+        if not self.dry_run:
+            if os.path.exists(path):
+                os.remove(path)
+            with open(path, 'wb') as f:
+                f.write(data)
+        self.record_as_written(path)
+
+    def write_text_file(self, path, data, encoding):
+        self.write_binary_file(path, data.encode(encoding))
+
+    def set_mode(self, bits, mask, files):
+        if os.name == 'posix' or (os.name == 'java' and os._name == 'posix'):
+            # Set the executable bits (owner, group, and world) on
+            # all the files specified.
+            for f in files:
+                if self.dry_run:
+                    logger.info("changing mode of %s", f)
+                else:
+                    mode = (os.stat(f).st_mode | bits) & mask
+                    logger.info("changing mode of %s to %o", f, mode)
+                    os.chmod(f, mode)
+
+    set_executable_mode = lambda s, f: s.set_mode(0o555, 0o7777, f)
+
+    def ensure_dir(self, path):
+        path = os.path.abspath(path)
+        if path not in self.ensured and not os.path.exists(path):
+            self.ensured.add(path)
+            d, f = os.path.split(path)
+            self.ensure_dir(d)
+            logger.info('Creating %s' % path)
+            if not self.dry_run:
+                os.mkdir(path)
+            if self.record:
+                self.dirs_created.add(path)
+
+    def byte_compile(self, path, optimize=False, force=False, prefix=None, hashed_invalidation=False):
+        if not optimize:
+            optimization = ''
+        else:
+            optimization = '1'
+        dpath = cache_from_source(path, optimization=optimization)
+        logger.info('Byte-compiling %s to %s', path, dpath)
+        if not self.dry_run:
+            if force or self.newer(path, dpath):
+                if not prefix:
+                    diagpath = None
+                else:
+                    assert path.startswith(prefix)
+                    diagpath = path[len(prefix):]
+            compile_kwargs = {}
+            if hashed_invalidation and hasattr(py_compile, 'PycInvalidationMode'):
+                if not isinstance(hashed_invalidation, py_compile.PycInvalidationMode):
+                    hashed_invalidation = py_compile.PycInvalidationMode.CHECKED_HASH
+                compile_kwargs['invalidation_mode'] = hashed_invalidation
+            py_compile.compile(path, dpath, diagpath, True, **compile_kwargs)  # raise error
+        self.record_as_written(dpath)
+        return dpath
+
+    def ensure_removed(self, path):
+        if os.path.exists(path):
+            if os.path.isdir(path) and not os.path.islink(path):
+                logger.debug('Removing directory tree at %s', path)
+                if not self.dry_run:
+                    shutil.rmtree(path)
+                if self.record:
+                    if path in self.dirs_created:
+                        self.dirs_created.remove(path)
+            else:
+                if os.path.islink(path):
+                    s = 'link'
+                else:
+                    s = 'file'
+                logger.debug('Removing %s %s', s, path)
+                if not self.dry_run:
+                    os.remove(path)
+                if self.record:
+                    if path in self.files_written:
+                        self.files_written.remove(path)
+
+    def is_writable(self, path):
+        result = False
+        while not result:
+            if os.path.exists(path):
+                result = os.access(path, os.W_OK)
+                break
+            parent = os.path.dirname(path)
+            if parent == path:
+                break
+            path = parent
+        return result
+
+    def commit(self):
+        """
+        Commit recorded changes, turn off recording, return
+        changes.
+        """
+        assert self.record
+        result = self.files_written, self.dirs_created
+        self._init_record()
+        return result
+
+    def rollback(self):
+        if not self.dry_run:
+            for f in list(self.files_written):
+                if os.path.exists(f):
+                    os.remove(f)
+            # dirs should all be empty now, except perhaps for
+            # __pycache__ subdirs
+            # reverse so that subdirs appear before their parents
+            dirs = sorted(self.dirs_created, reverse=True)
+            for d in dirs:
+                flist = os.listdir(d)
+                if flist:
+                    assert flist == ['__pycache__']
+                    sd = os.path.join(d, flist[0])
+                    os.rmdir(sd)
+                os.rmdir(d)  # should fail if non-empty
+        self._init_record()
+
+
+def resolve(module_name, dotted_path):
+    if module_name in sys.modules:
+        mod = sys.modules[module_name]
+    else:
+        mod = __import__(module_name)
+    if dotted_path is None:
+        result = mod
+    else:
+        parts = dotted_path.split('.')
+        result = getattr(mod, parts.pop(0))
+        for p in parts:
+            result = getattr(result, p)
+    return result
+
+
+class ExportEntry(object):
+
+    def __init__(self, name, prefix, suffix, flags):
+        self.name = name
+        self.prefix = prefix
+        self.suffix = suffix
+        self.flags = flags
+
+    @cached_property
+    def value(self):
+        return resolve(self.prefix, self.suffix)
+
+    def __repr__(self):  # pragma: no cover
+        return '' % (self.name, self.prefix, self.suffix, self.flags)
+
+    def __eq__(self, other):
+        if not isinstance(other, ExportEntry):
+            result = False
+        else:
+            result = (self.name == other.name and self.prefix == other.prefix and self.suffix == other.suffix
+                      and self.flags == other.flags)
+        return result
+
+    __hash__ = object.__hash__
+
+
+ENTRY_RE = re.compile(
+    r'''(?P([^\[]\S*))
+                      \s*=\s*(?P(\w+)([:\.]\w+)*)
+                      \s*(\[\s*(?P[\w-]+(=\w+)?(,\s*\w+(=\w+)?)*)\s*\])?
+                      ''', re.VERBOSE)
+
+
+def get_export_entry(specification):
+    m = ENTRY_RE.search(specification)
+    if not m:
+        result = None
+        if '[' in specification or ']' in specification:
+            raise DistlibException("Invalid specification "
+                                   "'%s'" % specification)
+    else:
+        d = m.groupdict()
+        name = d['name']
+        path = d['callable']
+        colons = path.count(':')
+        if colons == 0:
+            prefix, suffix = path, None
+        else:
+            if colons != 1:
+                raise DistlibException("Invalid specification "
+                                       "'%s'" % specification)
+            prefix, suffix = path.split(':')
+        flags = d['flags']
+        if flags is None:
+            if '[' in specification or ']' in specification:
+                raise DistlibException("Invalid specification "
+                                       "'%s'" % specification)
+            flags = []
+        else:
+            flags = [f.strip() for f in flags.split(',')]
+        result = ExportEntry(name, prefix, suffix, flags)
+    return result
+
+
+def get_cache_base(suffix=None):
+    """
+    Return the default base location for distlib caches. If the directory does
+    not exist, it is created. Use the suffix provided for the base directory,
+    and default to '.distlib' if it isn't provided.
+
+    On Windows, if LOCALAPPDATA is defined in the environment, then it is
+    assumed to be a directory, and will be the parent directory of the result.
+    On POSIX, and on Windows if LOCALAPPDATA is not defined, the user's home
+    directory - using os.expanduser('~') - will be the parent directory of
+    the result.
+
+    The result is just the directory '.distlib' in the parent directory as
+    determined above, or with the name specified with ``suffix``.
+    """
+    if suffix is None:
+        suffix = '.distlib'
+    if os.name == 'nt' and 'LOCALAPPDATA' in os.environ:
+        result = os.path.expandvars('$localappdata')
+    else:
+        # Assume posix, or old Windows
+        result = os.path.expanduser('~')
+    # we use 'isdir' instead of 'exists', because we want to
+    # fail if there's a file with that name
+    if os.path.isdir(result):
+        usable = os.access(result, os.W_OK)
+        if not usable:
+            logger.warning('Directory exists but is not writable: %s', result)
+    else:
+        try:
+            os.makedirs(result)
+            usable = True
+        except OSError:
+            logger.warning('Unable to create %s', result, exc_info=True)
+            usable = False
+    if not usable:
+        result = tempfile.mkdtemp()
+        logger.warning('Default location unusable, using %s', result)
+    return os.path.join(result, suffix)
+
+
+def path_to_cache_dir(path, use_abspath=True):
+    """
+    Convert an absolute path to a directory name for use in a cache.
+
+    The algorithm used is:
+
+    #. On Windows, any ``':'`` in the drive is replaced with ``'---'``.
+    #. Any occurrence of ``os.sep`` is replaced with ``'--'``.
+    #. ``'.cache'`` is appended.
+    """
+    d, p = os.path.splitdrive(os.path.abspath(path) if use_abspath else path)
+    if d:
+        d = d.replace(':', '---')
+    p = p.replace(os.sep, '--')
+    return d + p + '.cache'
+
+
+def ensure_slash(s):
+    if not s.endswith('/'):
+        return s + '/'
+    return s
+
+
+def parse_credentials(netloc):
+    username = password = None
+    if '@' in netloc:
+        prefix, netloc = netloc.rsplit('@', 1)
+        if ':' not in prefix:
+            username = prefix
+        else:
+            username, password = prefix.split(':', 1)
+    if username:
+        username = unquote(username)
+    if password:
+        password = unquote(password)
+    return username, password, netloc
+
+
+def get_process_umask():
+    result = os.umask(0o22)
+    os.umask(result)
+    return result
+
+
+def is_string_sequence(seq):
+    result = True
+    i = None
+    for i, s in enumerate(seq):
+        if not isinstance(s, string_types):
+            result = False
+            break
+    assert i is not None
+    return result
+
+
+PROJECT_NAME_AND_VERSION = re.compile('([a-z0-9_]+([.-][a-z_][a-z0-9_]*)*)-'
+                                      '([a-z0-9_.+-]+)', re.I)
+PYTHON_VERSION = re.compile(r'-py(\d\.?\d?)')
+
+
+def split_filename(filename, project_name=None):
+    """
+    Extract name, version, python version from a filename (no extension)
+
+    Return name, version, pyver or None
+    """
+    result = None
+    pyver = None
+    filename = unquote(filename).replace(' ', '-')
+    m = PYTHON_VERSION.search(filename)
+    if m:
+        pyver = m.group(1)
+        filename = filename[:m.start()]
+    if project_name and len(filename) > len(project_name) + 1:
+        m = re.match(re.escape(project_name) + r'\b', filename)
+        if m:
+            n = m.end()
+            result = filename[:n], filename[n + 1:], pyver
+    if result is None:
+        m = PROJECT_NAME_AND_VERSION.match(filename)
+        if m:
+            result = m.group(1), m.group(3), pyver
+    return result
+
+
+# Allow spaces in name because of legacy dists like "Twisted Core"
+NAME_VERSION_RE = re.compile(r'(?P[\w .-]+)\s*'
+                             r'\(\s*(?P[^\s)]+)\)$')
+
+
+def parse_name_and_version(p):
+    """
+    A utility method used to get name and version from a string.
+
+    From e.g. a Provides-Dist value.
+
+    :param p: A value in a form 'foo (1.0)'
+    :return: The name and version as a tuple.
+    """
+    m = NAME_VERSION_RE.match(p)
+    if not m:
+        raise DistlibException('Ill-formed name/version string: \'%s\'' % p)
+    d = m.groupdict()
+    return d['name'].strip().lower(), d['ver']
+
+
+def get_extras(requested, available):
+    result = set()
+    requested = set(requested or [])
+    available = set(available or [])
+    if '*' in requested:
+        requested.remove('*')
+        result |= available
+    for r in requested:
+        if r == '-':
+            result.add(r)
+        elif r.startswith('-'):
+            unwanted = r[1:]
+            if unwanted not in available:
+                logger.warning('undeclared extra: %s' % unwanted)
+            if unwanted in result:
+                result.remove(unwanted)
+        else:
+            if r not in available:
+                logger.warning('undeclared extra: %s' % r)
+            result.add(r)
+    return result
+
+
+#
+# Extended metadata functionality
+#
+
+
+def _get_external_data(url):
+    result = {}
+    try:
+        # urlopen might fail if it runs into redirections,
+        # because of Python issue #13696. Fixed in locators
+        # using a custom redirect handler.
+        resp = urlopen(url)
+        headers = resp.info()
+        ct = headers.get('Content-Type')
+        if not ct.startswith('application/json'):
+            logger.debug('Unexpected response for JSON request: %s', ct)
+        else:
+            reader = codecs.getreader('utf-8')(resp)
+            # data = reader.read().decode('utf-8')
+            # result = json.loads(data)
+            result = json.load(reader)
+    except Exception as e:
+        logger.exception('Failed to get external data for %s: %s', url, e)
+    return result
+
+
+_external_data_base_url = 'https://www.red-dove.com/pypi/projects/'
+
+
+def get_project_data(name):
+    url = '%s/%s/project.json' % (name[0].upper(), name)
+    url = urljoin(_external_data_base_url, url)
+    result = _get_external_data(url)
+    return result
+
+
+def get_package_data(name, version):
+    url = '%s/%s/package-%s.json' % (name[0].upper(), name, version)
+    url = urljoin(_external_data_base_url, url)
+    return _get_external_data(url)
+
+
+class Cache(object):
+    """
+    A class implementing a cache for resources that need to live in the file system
+    e.g. shared libraries. This class was moved from resources to here because it
+    could be used by other modules, e.g. the wheel module.
+    """
+
+    def __init__(self, base):
+        """
+        Initialise an instance.
+
+        :param base: The base directory where the cache should be located.
+        """
+        # we use 'isdir' instead of 'exists', because we want to
+        # fail if there's a file with that name
+        if not os.path.isdir(base):  # pragma: no cover
+            os.makedirs(base)
+        if (os.stat(base).st_mode & 0o77) != 0:
+            logger.warning('Directory \'%s\' is not private', base)
+        self.base = os.path.abspath(os.path.normpath(base))
+
+    def prefix_to_dir(self, prefix, use_abspath=True):
+        """
+        Converts a resource prefix to a directory name in the cache.
+        """
+        return path_to_cache_dir(prefix, use_abspath=use_abspath)
+
+    def clear(self):
+        """
+        Clear the cache.
+        """
+        not_removed = []
+        for fn in os.listdir(self.base):
+            fn = os.path.join(self.base, fn)
+            try:
+                if os.path.islink(fn) or os.path.isfile(fn):
+                    os.remove(fn)
+                elif os.path.isdir(fn):
+                    shutil.rmtree(fn)
+            except Exception:
+                not_removed.append(fn)
+        return not_removed
+
+
+class EventMixin(object):
+    """
+    A very simple publish/subscribe system.
+    """
+
+    def __init__(self):
+        self._subscribers = {}
+
+    def add(self, event, subscriber, append=True):
+        """
+        Add a subscriber for an event.
+
+        :param event: The name of an event.
+        :param subscriber: The subscriber to be added (and called when the
+                           event is published).
+        :param append: Whether to append or prepend the subscriber to an
+                       existing subscriber list for the event.
+        """
+        subs = self._subscribers
+        if event not in subs:
+            subs[event] = deque([subscriber])
+        else:
+            sq = subs[event]
+            if append:
+                sq.append(subscriber)
+            else:
+                sq.appendleft(subscriber)
+
+    def remove(self, event, subscriber):
+        """
+        Remove a subscriber for an event.
+
+        :param event: The name of an event.
+        :param subscriber: The subscriber to be removed.
+        """
+        subs = self._subscribers
+        if event not in subs:
+            raise ValueError('No subscribers: %r' % event)
+        subs[event].remove(subscriber)
+
+    def get_subscribers(self, event):
+        """
+        Return an iterator for the subscribers for an event.
+        :param event: The event to return subscribers for.
+        """
+        return iter(self._subscribers.get(event, ()))
+
+    def publish(self, event, *args, **kwargs):
+        """
+        Publish a event and return a list of values returned by its
+        subscribers.
+
+        :param event: The event to publish.
+        :param args: The positional arguments to pass to the event's
+                     subscribers.
+        :param kwargs: The keyword arguments to pass to the event's
+                       subscribers.
+        """
+        result = []
+        for subscriber in self.get_subscribers(event):
+            try:
+                value = subscriber(event, *args, **kwargs)
+            except Exception:
+                logger.exception('Exception during event publication')
+                value = None
+            result.append(value)
+        logger.debug('publish %s: args = %s, kwargs = %s, result = %s', event, args, kwargs, result)
+        return result
+
+
+#
+# Simple sequencing
+#
+class Sequencer(object):
+
+    def __init__(self):
+        self._preds = {}
+        self._succs = {}
+        self._nodes = set()  # nodes with no preds/succs
+
+    def add_node(self, node):
+        self._nodes.add(node)
+
+    def remove_node(self, node, edges=False):
+        if node in self._nodes:
+            self._nodes.remove(node)
+        if edges:
+            for p in set(self._preds.get(node, ())):
+                self.remove(p, node)
+            for s in set(self._succs.get(node, ())):
+                self.remove(node, s)
+            # Remove empties
+            for k, v in list(self._preds.items()):
+                if not v:
+                    del self._preds[k]
+            for k, v in list(self._succs.items()):
+                if not v:
+                    del self._succs[k]
+
+    def add(self, pred, succ):
+        assert pred != succ
+        self._preds.setdefault(succ, set()).add(pred)
+        self._succs.setdefault(pred, set()).add(succ)
+
+    def remove(self, pred, succ):
+        assert pred != succ
+        try:
+            preds = self._preds[succ]
+            succs = self._succs[pred]
+        except KeyError:  # pragma: no cover
+            raise ValueError('%r not a successor of anything' % succ)
+        try:
+            preds.remove(pred)
+            succs.remove(succ)
+        except KeyError:  # pragma: no cover
+            raise ValueError('%r not a successor of %r' % (succ, pred))
+
+    def is_step(self, step):
+        return (step in self._preds or step in self._succs or step in self._nodes)
+
+    def get_steps(self, final):
+        if not self.is_step(final):
+            raise ValueError('Unknown: %r' % final)
+        result = []
+        todo = []
+        seen = set()
+        todo.append(final)
+        while todo:
+            step = todo.pop(0)
+            if step in seen:
+                # if a step was already seen,
+                # move it to the end (so it will appear earlier
+                # when reversed on return) ... but not for the
+                # final step, as that would be confusing for
+                # users
+                if step != final:
+                    result.remove(step)
+                    result.append(step)
+            else:
+                seen.add(step)
+                result.append(step)
+                preds = self._preds.get(step, ())
+                todo.extend(preds)
+        return reversed(result)
+
+    @property
+    def strong_connections(self):
+        # http://en.wikipedia.org/wiki/Tarjan%27s_strongly_connected_components_algorithm
+        index_counter = [0]
+        stack = []
+        lowlinks = {}
+        index = {}
+        result = []
+
+        graph = self._succs
+
+        def strongconnect(node):
+            # set the depth index for this node to the smallest unused index
+            index[node] = index_counter[0]
+            lowlinks[node] = index_counter[0]
+            index_counter[0] += 1
+            stack.append(node)
+
+            # Consider successors
+            try:
+                successors = graph[node]
+            except Exception:
+                successors = []
+            for successor in successors:
+                if successor not in lowlinks:
+                    # Successor has not yet been visited
+                    strongconnect(successor)
+                    lowlinks[node] = min(lowlinks[node], lowlinks[successor])
+                elif successor in stack:
+                    # the successor is in the stack and hence in the current
+                    # strongly connected component (SCC)
+                    lowlinks[node] = min(lowlinks[node], index[successor])
+
+            # If `node` is a root node, pop the stack and generate an SCC
+            if lowlinks[node] == index[node]:
+                connected_component = []
+
+                while True:
+                    successor = stack.pop()
+                    connected_component.append(successor)
+                    if successor == node:
+                        break
+                component = tuple(connected_component)
+                # storing the result
+                result.append(component)
+
+        for node in graph:
+            if node not in lowlinks:
+                strongconnect(node)
+
+        return result
+
+    @property
+    def dot(self):
+        result = ['digraph G {']
+        for succ in self._preds:
+            preds = self._preds[succ]
+            for pred in preds:
+                result.append('  %s -> %s;' % (pred, succ))
+        for node in self._nodes:
+            result.append('  %s;' % node)
+        result.append('}')
+        return '\n'.join(result)
+
+
+#
+# Unarchiving functionality for zip, tar, tgz, tbz, whl
+#
+
+ARCHIVE_EXTENSIONS = ('.tar.gz', '.tar.bz2', '.tar', '.zip', '.tgz', '.tbz', '.whl')
+
+
+def unarchive(archive_filename, dest_dir, format=None, check=True):
+
+    def check_path(path, base=None):
+        if not isinstance(path, text_type):
+            path = path.decode('utf-8')
+        if base is None:
+            base = dest_dir
+        p = os.path.abspath(os.path.join(base, path))
+        if not p.startswith(dest_dir) or p[plen] != os.sep:
+            raise ValueError('path outside destination: %r' % p)
+
+    def check_link(member):
+        # A symlink/hardlink member's name is validated like any other
+        # member, but its target (linkname) is not covered by extractall's
+        # name-based handling. An unchecked target lets a later member be
+        # written through the link to a location outside dest_dir. Validate
+        # the resolved target stays within dest_dir. Symlink targets are
+        # relative to the member's own directory; hardlink targets are
+        # relative to the archive root (i.e. dest_dir).
+        if not (member.issym() or member.islnk()):
+            return
+        if member.issym():
+            link_base = os.path.dirname(os.path.join(dest_dir, member.name))
+        else:
+            link_base = dest_dir
+        check_path(member.linkname, base=link_base)
+
+    dest_dir = os.path.abspath(dest_dir)
+    plen = len(dest_dir)
+    archive = None
+    if format is None:
+        if archive_filename.endswith(('.zip', '.whl')):
+            format = 'zip'
+        elif archive_filename.endswith(('.tar.gz', '.tgz')):
+            format = 'tgz'
+            mode = 'r:gz'
+        elif archive_filename.endswith(('.tar.bz2', '.tbz')):
+            format = 'tbz'
+            mode = 'r:bz2'
+        elif archive_filename.endswith('.tar'):
+            format = 'tar'
+            mode = 'r'
+        else:  # pragma: no cover
+            raise ValueError('Unknown format for %r' % archive_filename)
+    try:
+        if format == 'zip':
+            archive = ZipFile(archive_filename, 'r')
+            if check:
+                names = archive.namelist()
+                for name in names:
+                    check_path(name)
+        else:
+            archive = tarfile.open(archive_filename, mode)
+            if check:
+                for member in archive.getmembers():
+                    check_path(member.name)
+                    check_link(member)
+        if format != 'zip' and sys.version_info[0] < 3:
+            # See Python issue 17153. If the dest path contains Unicode,
+            # tarfile extraction fails on Python 2.x if a member path name
+            # contains non-ASCII characters - it leads to an implicit
+            # bytes -> unicode conversion using ASCII to decode.
+            for tarinfo in archive.getmembers():
+                if not isinstance(tarinfo.name, text_type):
+                    tarinfo.name = tarinfo.name.decode('utf-8')
+
+        # Limit extraction of dangerous items, if this Python
+        # allows it easily. If not, just trust the input.
+        # See: https://docs.python.org/3/library/tarfile.html#extraction-filters
+        def extraction_filter(member, path):
+            """Run tarfile.tar_filter, but raise the expected ValueError"""
+            # This is only called if the current Python has tarfile filters
+            try:
+                return tarfile.tar_filter(member, path)
+            except tarfile.FilterError as exc:
+                raise ValueError(str(exc))
+
+        archive.extraction_filter = extraction_filter
+
+        archive.extractall(dest_dir)
+
+    finally:
+        if archive:
+            archive.close()
+
+
+def zip_dir(directory):
+    """zip a directory tree into a BytesIO object"""
+    result = io.BytesIO()
+    dlen = len(directory)
+    with ZipFile(result, "w") as zf:
+        for root, dirs, files in os.walk(directory):
+            for name in files:
+                full = os.path.join(root, name)
+                rel = root[dlen:]
+                dest = os.path.join(rel, name)
+                zf.write(full, dest)
+    return result
+
+
+#
+# Simple progress bar
+#
+
+UNITS = ('', 'K', 'M', 'G', 'T', 'P')
+
+
+class Progress(object):
+    unknown = 'UNKNOWN'
+
+    def __init__(self, minval=0, maxval=100):
+        assert maxval is None or maxval >= minval
+        self.min = self.cur = minval
+        self.max = maxval
+        self.started = None
+        self.elapsed = 0
+        self.done = False
+
+    def update(self, curval):
+        assert self.min <= curval
+        assert self.max is None or curval <= self.max
+        self.cur = curval
+        now = time.time()
+        if self.started is None:
+            self.started = now
+        else:
+            self.elapsed = now - self.started
+
+    def increment(self, incr):
+        assert incr >= 0
+        self.update(self.cur + incr)
+
+    def start(self):
+        self.update(self.min)
+        return self
+
+    def stop(self):
+        if self.max is not None:
+            self.update(self.max)
+        self.done = True
+
+    @property
+    def maximum(self):
+        return self.unknown if self.max is None else self.max
+
+    @property
+    def percentage(self):
+        if self.done:
+            result = '100 %'
+        elif self.max is None:
+            result = ' ?? %'
+        else:
+            v = 100.0 * (self.cur - self.min) / (self.max - self.min)
+            result = '%3d %%' % v
+        return result
+
+    def format_duration(self, duration):
+        if (duration <= 0) and self.max is None or self.cur == self.min:
+            result = '??:??:??'
+        # elif duration < 1:
+        #     result = '--:--:--'
+        else:
+            result = time.strftime('%H:%M:%S', time.gmtime(duration))
+        return result
+
+    @property
+    def ETA(self):
+        if self.done:
+            prefix = 'Done'
+            t = self.elapsed
+            # import pdb; pdb.set_trace()
+        else:
+            prefix = 'ETA '
+            if self.max is None:
+                t = -1
+            elif self.elapsed == 0 or (self.cur == self.min):
+                t = 0
+            else:
+                # import pdb; pdb.set_trace()
+                t = float(self.max - self.min)
+                t /= self.cur - self.min
+                t = (t - 1) * self.elapsed
+        return '%s: %s' % (prefix, self.format_duration(t))
+
+    @property
+    def speed(self):
+        if self.elapsed == 0:
+            result = 0.0
+        else:
+            result = (self.cur - self.min) / self.elapsed
+        for unit in UNITS:
+            if result < 1000:
+                break
+            result /= 1000.0
+        return '%d %sB/s' % (result, unit)
+
+
+#
+# Glob functionality
+#
+
+RICH_GLOB = re.compile(r'\{([^}]*)\}')
+_CHECK_RECURSIVE_GLOB = re.compile(r'[^/\\,{]\*\*|\*\*[^/\\,}]')
+_CHECK_MISMATCH_SET = re.compile(r'^[^{]*\}|\{[^}]*$')
+
+
+def iglob(path_glob):
+    """Extended globbing function that supports ** and {opt1,opt2,opt3}."""
+    if _CHECK_RECURSIVE_GLOB.search(path_glob):
+        msg = """invalid glob %r: recursive glob "**" must be used alone"""
+        raise ValueError(msg % path_glob)
+    if _CHECK_MISMATCH_SET.search(path_glob):
+        msg = """invalid glob %r: mismatching set marker '{' or '}'"""
+        raise ValueError(msg % path_glob)
+    return _iglob(path_glob)
+
+
+def _iglob(path_glob):
+    rich_path_glob = RICH_GLOB.split(path_glob, 1)
+    if len(rich_path_glob) > 1:
+        assert len(rich_path_glob) == 3, rich_path_glob
+        prefix, set, suffix = rich_path_glob
+        for item in set.split(','):
+            for path in _iglob(''.join((prefix, item, suffix))):
+                yield path
+    else:
+        if '**' not in path_glob:
+            for item in std_iglob(path_glob):
+                yield item
+        else:
+            prefix, radical = path_glob.split('**', 1)
+            if prefix == '':
+                prefix = '.'
+            if radical == '':
+                radical = '*'
+            else:
+                # we support both
+                radical = radical.lstrip('/')
+                radical = radical.lstrip('\\')
+            for path, dir, files in os.walk(prefix):
+                path = os.path.normpath(path)
+                for fn in _iglob(os.path.join(path, radical)):
+                    yield fn
+
+
+if ssl:
+    from .compat import (HTTPSHandler as BaseHTTPSHandler, match_hostname, CertificateError)
+
+    #
+    # HTTPSConnection which verifies certificates/matches domains
+    #
+
+
+    class HTTPSConnection(httplib.HTTPSConnection):
+        ca_certs = None  # set this to the path to the certs file (.pem)
+        check_domain = True  # only used if ca_certs is not None
+
+        # noinspection PyPropertyAccess
+        def connect(self):
+            sock = socket.create_connection((self.host, self.port), self.timeout)
+            if getattr(self, '_tunnel_host', False):
+                self.sock = sock
+                self._tunnel()
+
+            context = ssl.SSLContext(ssl.PROTOCOL_SSLv23)
+            if hasattr(ssl, 'OP_NO_SSLv2'):
+                context.options |= ssl.OP_NO_SSLv2
+            if getattr(self, 'cert_file', None):
+                context.load_cert_chain(self.cert_file, self.key_file)
+            kwargs = {}
+            if self.ca_certs:
+                context.verify_mode = ssl.CERT_REQUIRED
+                context.load_verify_locations(cafile=self.ca_certs)
+                if getattr(ssl, 'HAS_SNI', False):
+                    kwargs['server_hostname'] = self.host
+
+            self.sock = context.wrap_socket(sock, **kwargs)
+            if self.ca_certs and self.check_domain:
+                try:
+                    match_hostname(self.sock.getpeercert(), self.host)
+                    logger.debug('Host verified: %s', self.host)
+                except CertificateError:  # pragma: no cover
+                    self.sock.shutdown(socket.SHUT_RDWR)
+                    self.sock.close()
+                    raise
+
+    class HTTPSHandler(BaseHTTPSHandler):
+
+        def __init__(self, ca_certs, check_domain=True):
+            BaseHTTPSHandler.__init__(self)
+            self.ca_certs = ca_certs
+            self.check_domain = check_domain
+
+        def _conn_maker(self, *args, **kwargs):
+            """
+            This is called to create a connection instance. Normally you'd
+            pass a connection class to do_open, but it doesn't actually check for
+            a class, and just expects a callable. As long as we behave just as a
+            constructor would have, we should be OK. If it ever changes so that
+            we *must* pass a class, we'll create an UnsafeHTTPSConnection class
+            which just sets check_domain to False in the class definition, and
+            choose which one to pass to do_open.
+            """
+            result = HTTPSConnection(*args, **kwargs)
+            if self.ca_certs:
+                result.ca_certs = self.ca_certs
+                result.check_domain = self.check_domain
+            return result
+
+        def https_open(self, req):
+            try:
+                return self.do_open(self._conn_maker, req)
+            except URLError as e:
+                if 'certificate verify failed' in str(e.reason):
+                    raise CertificateError('Unable to verify server certificate '
+                                           'for %s' % req.host)
+                else:
+                    raise
+
+    #
+    # To prevent against mixing HTTP traffic with HTTPS (examples: A Man-In-The-
+    # Middle proxy using HTTP listens on port 443, or an index mistakenly serves
+    # HTML containing a http://xyz link when it should be https://xyz),
+    # you can use the following handler class, which does not allow HTTP traffic.
+    #
+    # It works by inheriting from HTTPHandler - so build_opener won't add a
+    # handler for HTTP itself.
+    #
+    class HTTPSOnlyHandler(HTTPSHandler, HTTPHandler):
+
+        def http_open(self, req):
+            raise URLError('Unexpected HTTP request on what should be a secure '
+                           'connection: %s' % req)
+
+
+#
+# XML-RPC with timeouts
+#
+class Transport(xmlrpclib.Transport):
+
+    def __init__(self, timeout, use_datetime=0):
+        self.timeout = timeout
+        xmlrpclib.Transport.__init__(self, use_datetime)
+
+    def make_connection(self, host):
+        h, eh, x509 = self.get_host_info(host)
+        if not self._connection or host != self._connection[0]:
+            self._extra_headers = eh
+            self._connection = host, httplib.HTTPConnection(h)
+        return self._connection[1]
+
+
+if ssl:
+
+    class SafeTransport(xmlrpclib.SafeTransport):
+
+        def __init__(self, timeout, use_datetime=0):
+            self.timeout = timeout
+            xmlrpclib.SafeTransport.__init__(self, use_datetime)
+
+        def make_connection(self, host):
+            h, eh, kwargs = self.get_host_info(host)
+            if not kwargs:
+                kwargs = {}
+            kwargs['timeout'] = self.timeout
+            if not self._connection or host != self._connection[0]:
+                self._extra_headers = eh
+                self._connection = host, httplib.HTTPSConnection(h, None, **kwargs)
+            return self._connection[1]
+
+
+class ServerProxy(xmlrpclib.ServerProxy):
+
+    def __init__(self, uri, **kwargs):
+        self.timeout = timeout = kwargs.pop('timeout', None)
+        # The above classes only come into play if a timeout
+        # is specified
+        if timeout is not None:
+            # scheme = splittype(uri)  # deprecated as of Python 3.8
+            scheme = urlparse(uri)[0]
+            use_datetime = kwargs.get('use_datetime', 0)
+            if scheme == 'https':
+                tcls = SafeTransport
+            else:
+                tcls = Transport
+            kwargs['transport'] = t = tcls(timeout, use_datetime=use_datetime)
+            self.transport = t
+        xmlrpclib.ServerProxy.__init__(self, uri, **kwargs)
+
+
+#
+# CSV functionality. This is provided because on 2.x, the csv module can't
+# handle Unicode. However, we need to deal with Unicode in e.g. RECORD files.
+#
+
+
+def _csv_open(fn, mode, **kwargs):
+    if sys.version_info[0] < 3:
+        mode += 'b'
+    else:
+        kwargs['newline'] = ''
+        # Python 3 determines encoding from locale. Force 'utf-8'
+        # file encoding to match other forced utf-8 encoding
+        kwargs['encoding'] = 'utf-8'
+    return open(fn, mode, **kwargs)
+
+
+class CSVBase(object):
+    defaults = {
+        'delimiter': str(','),  # The strs are used because we need native
+        'quotechar': str('"'),  # str in the csv API (2.x won't take
+        'lineterminator': str('\n')  # Unicode)
+    }
+
+    def __enter__(self):
+        return self
+
+    def __exit__(self, *exc_info):
+        self.stream.close()
+
+
+class CSVReader(CSVBase):
+
+    def __init__(self, **kwargs):
+        if 'stream' in kwargs:
+            stream = kwargs['stream']
+            if sys.version_info[0] >= 3:
+                # needs to be a text stream
+                stream = codecs.getreader('utf-8')(stream)
+            self.stream = stream
+        else:
+            self.stream = _csv_open(kwargs['path'], 'r')
+        self.reader = csv.reader(self.stream, **self.defaults)
+
+    def __iter__(self):
+        return self
+
+    def next(self):
+        result = next(self.reader)
+        if sys.version_info[0] < 3:
+            for i, item in enumerate(result):
+                if not isinstance(item, text_type):
+                    result[i] = item.decode('utf-8')
+        return result
+
+    __next__ = next
+
+
+class CSVWriter(CSVBase):
+
+    def __init__(self, fn, **kwargs):
+        self.stream = _csv_open(fn, 'w')
+        self.writer = csv.writer(self.stream, **self.defaults)
+
+    def writerow(self, row):
+        if sys.version_info[0] < 3:
+            r = []
+            for item in row:
+                if isinstance(item, text_type):
+                    item = item.encode('utf-8')
+                r.append(item)
+            row = r
+        self.writer.writerow(row)
+
+
+#
+#   Configurator functionality
+#
+
+
+class Configurator(BaseConfigurator):
+
+    value_converters = dict(BaseConfigurator.value_converters)
+    value_converters['inc'] = 'inc_convert'
+
+    def __init__(self, config, base=None):
+        super(Configurator, self).__init__(config)
+        self.base = base or os.getcwd()
+
+    def configure_custom(self, config):
+
+        def convert(o):
+            if isinstance(o, (list, tuple)):
+                result = type(o)([convert(i) for i in o])
+            elif isinstance(o, dict):
+                if '()' in o:
+                    result = self.configure_custom(o)
+                else:
+                    result = {}
+                    for k in o:
+                        result[k] = convert(o[k])
+            else:
+                result = self.convert(o)
+            return result
+
+        c = config.pop('()')
+        if not callable(c):
+            c = self.resolve(c)
+        props = config.pop('.', None)
+        # Check for valid identifiers
+        args = config.pop('[]', ())
+        if args:
+            args = tuple([convert(o) for o in args])
+        items = [(k, convert(config[k])) for k in config if valid_ident(k)]
+        kwargs = dict(items)
+        result = c(*args, **kwargs)
+        if props:
+            for n, v in props.items():
+                setattr(result, n, convert(v))
+        return result
+
+    def __getitem__(self, key):
+        result = self.config[key]
+        if isinstance(result, dict) and '()' in result:
+            self.config[key] = result = self.configure_custom(result)
+        return result
+
+    def inc_convert(self, value):
+        """Default converter for the inc:// protocol."""
+        if not os.path.isabs(value):
+            value = os.path.join(self.base, value)
+        with codecs.open(value, 'r', encoding='utf-8') as f:
+            result = json.load(f)
+        return result
+
+
+class SubprocessMixin(object):
+    """
+    Mixin for running subprocesses and capturing their output
+    """
+
+    def __init__(self, verbose=False, progress=None):
+        self.verbose = verbose
+        self.progress = progress
+
+    def reader(self, stream, context):
+        """
+        Read lines from a subprocess' output stream and either pass to a progress
+        callable (if specified) or write progress information to sys.stderr.
+        """
+        progress = self.progress
+        verbose = self.verbose
+        while True:
+            s = stream.readline()
+            if not s:
+                break
+            if progress is not None:
+                progress(s, context)
+            else:
+                if not verbose:
+                    sys.stderr.write('.')
+                else:
+                    sys.stderr.write(s.decode('utf-8'))
+                sys.stderr.flush()
+        stream.close()
+
+    def run_command(self, cmd, **kwargs):
+        p = subprocess.Popen(cmd, stdout=subprocess.PIPE, stderr=subprocess.PIPE, **kwargs)
+        t1 = threading.Thread(target=self.reader, args=(p.stdout, 'stdout'))
+        t1.start()
+        t2 = threading.Thread(target=self.reader, args=(p.stderr, 'stderr'))
+        t2.start()
+        p.wait()
+        t1.join()
+        t2.join()
+        if self.progress is not None:
+            self.progress('done.', 'main')
+        elif self.verbose:
+            sys.stderr.write('done.\n')
+        return p
+
+
+def normalize_name(name):
+    """Normalize a python package name a la PEP 503"""
+    # https://peps.python.org/pep-0503/#normalized-names
+    # Emulates re.sub(r"[-_.]+", "-", name).lower()
+    # Much faster than re, and even faster than str.translate
+    value = name.lower().replace("_", "-").replace(".", "-")
+    while "--" in value:
+        value = value.replace("--", "-")
+    return value
+
+
+# def _get_pypirc_command():
+# """
+# Get the distutils command for interacting with PyPI configurations.
+# :return: the command.
+# """
+# from distutils.core import Distribution
+# from distutils.config import PyPIRCCommand
+# d = Distribution()
+# return PyPIRCCommand(d)
+
+
+class PyPIRCFile(object):
+
+    DEFAULT_REPOSITORY = 'https://upload.pypi.org/legacy/'
+    DEFAULT_REALM = 'pypi'
+
+    def __init__(self, fn=None, url=None):
+        if fn is None:
+            fn = os.path.join(os.path.expanduser('~'), '.pypirc')
+        self.filename = fn
+        self.url = url
+
+    def read(self):
+        result = {}
+
+        if os.path.exists(self.filename):
+            repository = self.url or self.DEFAULT_REPOSITORY
+
+            config = configparser.RawConfigParser()
+            config.read(self.filename)
+            sections = config.sections()
+            if 'distutils' in sections:
+                # let's get the list of servers
+                index_servers = config.get('distutils', 'index-servers')
+                _servers = [server.strip() for server in index_servers.split('\n') if server.strip() != '']
+                if _servers == []:
+                    # nothing set, let's try to get the default pypi
+                    if 'pypi' in sections:
+                        _servers = ['pypi']
+                else:
+                    for server in _servers:
+                        result = {'server': server}
+                        result['username'] = config.get(server, 'username')
+
+                        # optional params
+                        for key, default in (('repository', self.DEFAULT_REPOSITORY), ('realm', self.DEFAULT_REALM),
+                                             ('password', None)):
+                            if config.has_option(server, key):
+                                result[key] = config.get(server, key)
+                            else:
+                                result[key] = default
+
+                        # work around people having "repository" for the "pypi"
+                        # section of their config set to the HTTP (rather than
+                        # HTTPS) URL
+                        if (server == 'pypi' and repository in (self.DEFAULT_REPOSITORY, 'pypi')):
+                            result['repository'] = self.DEFAULT_REPOSITORY
+                        elif (result['server'] != repository and result['repository'] != repository):
+                            result = {}
+            elif 'server-login' in sections:
+                # old format
+                server = 'server-login'
+                if config.has_option(server, 'repository'):
+                    repository = config.get(server, 'repository')
+                else:
+                    repository = self.DEFAULT_REPOSITORY
+                result = {
+                    'username': config.get(server, 'username'),
+                    'password': config.get(server, 'password'),
+                    'repository': repository,
+                    'server': server,
+                    'realm': self.DEFAULT_REALM
+                }
+        return result
+
+    def update(self, username, password):
+        # import pdb; pdb.set_trace()
+        config = configparser.RawConfigParser()
+        fn = self.filename
+        config.read(fn)
+        if not config.has_section('pypi'):
+            config.add_section('pypi')
+        config.set('pypi', 'username', username)
+        config.set('pypi', 'password', password)
+        with open(fn, 'w') as f:
+            config.write(f)
+
+
+def _load_pypirc(index):
+    """
+    Read the PyPI access configuration as supported by distutils.
+    """
+    return PyPIRCFile(url=index.url).read()
+
+
+def _store_pypirc(index):
+    PyPIRCFile().update(index.username, index.password)
+
+
+#
+# get_platform()/get_host_platform() copied from Python 3.10.a0 source, with some minor
+# tweaks
+#
+
+
+def get_host_platform():
+    """Return a string that identifies the current platform.  This is used mainly to
+    distinguish platform-specific build directories and platform-specific built
+    distributions.  Typically includes the OS name and version and the
+    architecture (as supplied by 'os.uname()'), although the exact information
+    included depends on the OS; eg. on Linux, the kernel version isn't
+    particularly important.
+
+    Examples of returned values:
+       linux-i586
+       linux-alpha (?)
+       solaris-2.6-sun4u
+
+    Windows will return one of:
+       win-amd64 (64bit Windows on AMD64 (aka x86_64, Intel64, EM64T, etc)
+       win32 (all others - specifically, sys.platform is returned)
+
+    For other non-POSIX platforms, currently just returns 'sys.platform'.
+
+    """
+    if os.name == 'nt':
+        if 'amd64' in sys.version.lower():
+            return 'win-amd64'
+        if '(arm)' in sys.version.lower():
+            return 'win-arm32'
+        if '(arm64)' in sys.version.lower():
+            return 'win-arm64'
+        return sys.platform
+
+    # Set for cross builds explicitly
+    if "_PYTHON_HOST_PLATFORM" in os.environ:
+        return os.environ["_PYTHON_HOST_PLATFORM"]
+
+    if os.name != 'posix' or not hasattr(os, 'uname'):
+        # XXX what about the architecture? NT is Intel or Alpha,
+        # Mac OS is M68k or PPC, etc.
+        return sys.platform
+
+    # Try to distinguish various flavours of Unix
+
+    (osname, host, release, version, machine) = os.uname()
+
+    # Convert the OS name to lowercase, remove '/' characters, and translate
+    # spaces (for "Power Macintosh")
+    osname = osname.lower().replace('/', '')
+    machine = machine.replace(' ', '_').replace('/', '-')
+
+    if osname[:5] == 'linux':
+        # At least on Linux/Intel, 'machine' is the processor --
+        # i386, etc.
+        # XXX what about Alpha, SPARC, etc?
+        return "%s-%s" % (osname, machine)
+
+    elif osname[:5] == 'sunos':
+        if release[0] >= '5':  # SunOS 5 == Solaris 2
+            osname = 'solaris'
+            release = '%d.%s' % (int(release[0]) - 3, release[2:])
+            # We can't use 'platform.architecture()[0]' because a
+            # bootstrap problem. We use a dict to get an error
+            # if some suspicious happens.
+            bitness = {2147483647: '32bit', 9223372036854775807: '64bit'}
+            machine += '.%s' % bitness[sys.maxsize]
+        # fall through to standard osname-release-machine representation
+    elif osname[:3] == 'aix':
+        from _aix_support import aix_platform
+        return aix_platform()
+    elif osname[:6] == 'cygwin':
+        osname = 'cygwin'
+        rel_re = re.compile(r'[\d.]+', re.ASCII)
+        m = rel_re.match(release)
+        if m:
+            release = m.group()
+    elif osname[:6] == 'darwin':
+        import _osx_support
+        try:
+            from distutils import sysconfig
+        except ImportError:
+            import sysconfig
+        osname, release, machine = _osx_support.get_platform_osx(sysconfig.get_config_vars(), osname, release, machine)
+
+    return '%s-%s-%s' % (osname, release, machine)
+
+
+_TARGET_TO_PLAT = {
+    'x86': 'win32',
+    'x64': 'win-amd64',
+    'arm': 'win-arm32',
+}
+
+
+def get_platform():
+    if os.name != 'nt':
+        return get_host_platform()
+    cross_compilation_target = os.environ.get('VSCMD_ARG_TGT_ARCH')
+    if cross_compilation_target not in _TARGET_TO_PLAT:
+        return get_host_platform()
+    return _TARGET_TO_PLAT[cross_compilation_target]
+
+
+def is_in_directory(path, target):
+    """
+    Check if a path is inside a target directory. This doesn't check case (might be an issue on Windows)
+    """
+    path = os.path.abspath(path)
+    target = os.path.abspath(target)
+    return path == target or path.startswith(target + os.sep)
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/LICENSE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/LICENSE
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+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/LICENSE
@@ -0,0 +1,202 @@
+Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
+      represent, as a whole, an original work of authorship. For the purposes
+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
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+
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..7686fe85a7cc94188da76bfb1c10ad2a10821256
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__init__.py
@@ -0,0 +1,54 @@
+from .distro import (
+    NORMALIZED_DISTRO_ID,
+    NORMALIZED_LSB_ID,
+    NORMALIZED_OS_ID,
+    LinuxDistribution,
+    __version__,
+    build_number,
+    codename,
+    distro_release_attr,
+    distro_release_info,
+    id,
+    info,
+    like,
+    linux_distribution,
+    lsb_release_attr,
+    lsb_release_info,
+    major_version,
+    minor_version,
+    name,
+    os_release_attr,
+    os_release_info,
+    uname_attr,
+    uname_info,
+    version,
+    version_parts,
+)
+
+__all__ = [
+    "NORMALIZED_DISTRO_ID",
+    "NORMALIZED_LSB_ID",
+    "NORMALIZED_OS_ID",
+    "LinuxDistribution",
+    "build_number",
+    "codename",
+    "distro_release_attr",
+    "distro_release_info",
+    "id",
+    "info",
+    "like",
+    "linux_distribution",
+    "lsb_release_attr",
+    "lsb_release_info",
+    "major_version",
+    "minor_version",
+    "name",
+    "os_release_attr",
+    "os_release_info",
+    "uname_attr",
+    "uname_info",
+    "version",
+    "version_parts",
+]
+
+__version__ = __version__
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__main__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__main__.py
new file mode 100644
index 0000000000000000000000000000000000000000..0c01d5b08b6b44379b931d54d7fcf5221fdc9fde
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__main__.py
@@ -0,0 +1,4 @@
+from .distro import main
+
+if __name__ == "__main__":
+    main()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__pycache__/__init__.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__pycache__/__main__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__pycache__/__main__.cpython-311.pyc
new file mode 100644
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__pycache__/distro.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__pycache__/distro.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..52b612288098f007a7ad6053911d69ea2bb70d92
Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/__pycache__/distro.cpython-311.pyc differ
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/distro.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/distro.py
new file mode 100644
index 0000000000000000000000000000000000000000..78ccdfa402ac29a8ef8aaddf7b527a0efb568d43
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/distro.py
@@ -0,0 +1,1403 @@
+#!/usr/bin/env python
+# Copyright 2015-2021 Nir Cohen
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+"""
+The ``distro`` package (``distro`` stands for Linux Distribution) provides
+information about the Linux distribution it runs on, such as a reliable
+machine-readable distro ID, or version information.
+
+It is the recommended replacement for Python's original
+:py:func:`platform.linux_distribution` function, but it provides much more
+functionality. An alternative implementation became necessary because Python
+3.5 deprecated this function, and Python 3.8 removed it altogether. Its
+predecessor function :py:func:`platform.dist` was already deprecated since
+Python 2.6 and removed in Python 3.8. Still, there are many cases in which
+access to OS distribution information is needed. See `Python issue 1322
+`_ for more information.
+"""
+
+import argparse
+import json
+import logging
+import os
+import re
+import shlex
+import subprocess
+import sys
+import warnings
+from typing import (
+    Any,
+    Callable,
+    Dict,
+    Iterable,
+    Optional,
+    Sequence,
+    TextIO,
+    Tuple,
+    Type,
+)
+
+try:
+    from typing import TypedDict
+except ImportError:
+    # Python 3.7
+    TypedDict = dict
+
+__version__ = "1.9.0"
+
+
+class VersionDict(TypedDict):
+    major: str
+    minor: str
+    build_number: str
+
+
+class InfoDict(TypedDict):
+    id: str
+    version: str
+    version_parts: VersionDict
+    like: str
+    codename: str
+
+
+_UNIXCONFDIR = os.environ.get("UNIXCONFDIR", "/etc")
+_UNIXUSRLIBDIR = os.environ.get("UNIXUSRLIBDIR", "/usr/lib")
+_OS_RELEASE_BASENAME = "os-release"
+
+#: Translation table for normalizing the "ID" attribute defined in os-release
+#: files, for use by the :func:`distro.id` method.
+#:
+#: * Key: Value as defined in the os-release file, translated to lower case,
+#:   with blanks translated to underscores.
+#:
+#: * Value: Normalized value.
+NORMALIZED_OS_ID = {
+    "ol": "oracle",  # Oracle Linux
+    "opensuse-leap": "opensuse",  # Newer versions of OpenSuSE report as opensuse-leap
+}
+
+#: Translation table for normalizing the "Distributor ID" attribute returned by
+#: the lsb_release command, for use by the :func:`distro.id` method.
+#:
+#: * Key: Value as returned by the lsb_release command, translated to lower
+#:   case, with blanks translated to underscores.
+#:
+#: * Value: Normalized value.
+NORMALIZED_LSB_ID = {
+    "enterpriseenterpriseas": "oracle",  # Oracle Enterprise Linux 4
+    "enterpriseenterpriseserver": "oracle",  # Oracle Linux 5
+    "redhatenterpriseworkstation": "rhel",  # RHEL 6, 7 Workstation
+    "redhatenterpriseserver": "rhel",  # RHEL 6, 7 Server
+    "redhatenterprisecomputenode": "rhel",  # RHEL 6 ComputeNode
+}
+
+#: Translation table for normalizing the distro ID derived from the file name
+#: of distro release files, for use by the :func:`distro.id` method.
+#:
+#: * Key: Value as derived from the file name of a distro release file,
+#:   translated to lower case, with blanks translated to underscores.
+#:
+#: * Value: Normalized value.
+NORMALIZED_DISTRO_ID = {
+    "redhat": "rhel",  # RHEL 6.x, 7.x
+}
+
+# Pattern for content of distro release file (reversed)
+_DISTRO_RELEASE_CONTENT_REVERSED_PATTERN = re.compile(
+    r"(?:[^)]*\)(.*)\()? *(?:STL )?([\d.+\-a-z]*\d) *(?:esaeler *)?(.+)"
+)
+
+# Pattern for base file name of distro release file
+_DISTRO_RELEASE_BASENAME_PATTERN = re.compile(r"(\w+)[-_](release|version)$")
+
+# Base file names to be looked up for if _UNIXCONFDIR is not readable.
+_DISTRO_RELEASE_BASENAMES = [
+    "SuSE-release",
+    "altlinux-release",
+    "arch-release",
+    "base-release",
+    "centos-release",
+    "fedora-release",
+    "gentoo-release",
+    "mageia-release",
+    "mandrake-release",
+    "mandriva-release",
+    "mandrivalinux-release",
+    "manjaro-release",
+    "oracle-release",
+    "redhat-release",
+    "rocky-release",
+    "sl-release",
+    "slackware-version",
+]
+
+# Base file names to be ignored when searching for distro release file
+_DISTRO_RELEASE_IGNORE_BASENAMES = (
+    "debian_version",
+    "lsb-release",
+    "oem-release",
+    _OS_RELEASE_BASENAME,
+    "system-release",
+    "plesk-release",
+    "iredmail-release",
+    "board-release",
+    "ec2_version",
+)
+
+
+def linux_distribution(full_distribution_name: bool = True) -> Tuple[str, str, str]:
+    """
+    .. deprecated:: 1.6.0
+
+        :func:`distro.linux_distribution()` is deprecated. It should only be
+        used as a compatibility shim with Python's
+        :py:func:`platform.linux_distribution()`. Please use :func:`distro.id`,
+        :func:`distro.version` and :func:`distro.name` instead.
+
+    Return information about the current OS distribution as a tuple
+    ``(id_name, version, codename)`` with items as follows:
+
+    * ``id_name``:  If *full_distribution_name* is false, the result of
+      :func:`distro.id`. Otherwise, the result of :func:`distro.name`.
+
+    * ``version``:  The result of :func:`distro.version`.
+
+    * ``codename``:  The extra item (usually in parentheses) after the
+      os-release version number, or the result of :func:`distro.codename`.
+
+    The interface of this function is compatible with the original
+    :py:func:`platform.linux_distribution` function, supporting a subset of
+    its parameters.
+
+    The data it returns may not exactly be the same, because it uses more data
+    sources than the original function, and that may lead to different data if
+    the OS distribution is not consistent across multiple data sources it
+    provides (there are indeed such distributions ...).
+
+    Another reason for differences is the fact that the :func:`distro.id`
+    method normalizes the distro ID string to a reliable machine-readable value
+    for a number of popular OS distributions.
+    """
+    warnings.warn(
+        "distro.linux_distribution() is deprecated. It should only be used as a "
+        "compatibility shim with Python's platform.linux_distribution(). Please use "
+        "distro.id(), distro.version() and distro.name() instead.",
+        DeprecationWarning,
+        stacklevel=2,
+    )
+    return _distro.linux_distribution(full_distribution_name)
+
+
+def id() -> str:
+    """
+    Return the distro ID of the current distribution, as a
+    machine-readable string.
+
+    For a number of OS distributions, the returned distro ID value is
+    *reliable*, in the sense that it is documented and that it does not change
+    across releases of the distribution.
+
+    This package maintains the following reliable distro ID values:
+
+    ==============  =========================================
+    Distro ID       Distribution
+    ==============  =========================================
+    "ubuntu"        Ubuntu
+    "debian"        Debian
+    "rhel"          RedHat Enterprise Linux
+    "centos"        CentOS
+    "fedora"        Fedora
+    "sles"          SUSE Linux Enterprise Server
+    "opensuse"      openSUSE
+    "amzn"          Amazon Linux
+    "arch"          Arch Linux
+    "buildroot"     Buildroot
+    "cloudlinux"    CloudLinux OS
+    "exherbo"       Exherbo Linux
+    "gentoo"        GenToo Linux
+    "ibm_powerkvm"  IBM PowerKVM
+    "kvmibm"        KVM for IBM z Systems
+    "linuxmint"     Linux Mint
+    "mageia"        Mageia
+    "mandriva"      Mandriva Linux
+    "parallels"     Parallels
+    "pidora"        Pidora
+    "raspbian"      Raspbian
+    "oracle"        Oracle Linux (and Oracle Enterprise Linux)
+    "scientific"    Scientific Linux
+    "slackware"     Slackware
+    "xenserver"     XenServer
+    "openbsd"       OpenBSD
+    "netbsd"        NetBSD
+    "freebsd"       FreeBSD
+    "midnightbsd"   MidnightBSD
+    "rocky"         Rocky Linux
+    "aix"           AIX
+    "guix"          Guix System
+    "altlinux"      ALT Linux
+    ==============  =========================================
+
+    If you have a need to get distros for reliable IDs added into this set,
+    or if you find that the :func:`distro.id` function returns a different
+    distro ID for one of the listed distros, please create an issue in the
+    `distro issue tracker`_.
+
+    **Lookup hierarchy and transformations:**
+
+    First, the ID is obtained from the following sources, in the specified
+    order. The first available and non-empty value is used:
+
+    * the value of the "ID" attribute of the os-release file,
+
+    * the value of the "Distributor ID" attribute returned by the lsb_release
+      command,
+
+    * the first part of the file name of the distro release file,
+
+    The so determined ID value then passes the following transformations,
+    before it is returned by this method:
+
+    * it is translated to lower case,
+
+    * blanks (which should not be there anyway) are translated to underscores,
+
+    * a normalization of the ID is performed, based upon
+      `normalization tables`_. The purpose of this normalization is to ensure
+      that the ID is as reliable as possible, even across incompatible changes
+      in the OS distributions. A common reason for an incompatible change is
+      the addition of an os-release file, or the addition of the lsb_release
+      command, with ID values that differ from what was previously determined
+      from the distro release file name.
+    """
+    return _distro.id()
+
+
+def name(pretty: bool = False) -> str:
+    """
+    Return the name of the current OS distribution, as a human-readable
+    string.
+
+    If *pretty* is false, the name is returned without version or codename.
+    (e.g. "CentOS Linux")
+
+    If *pretty* is true, the version and codename are appended.
+    (e.g. "CentOS Linux 7.1.1503 (Core)")
+
+    **Lookup hierarchy:**
+
+    The name is obtained from the following sources, in the specified order.
+    The first available and non-empty value is used:
+
+    * If *pretty* is false:
+
+      - the value of the "NAME" attribute of the os-release file,
+
+      - the value of the "Distributor ID" attribute returned by the lsb_release
+        command,
+
+      - the value of the "" field of the distro release file.
+
+    * If *pretty* is true:
+
+      - the value of the "PRETTY_NAME" attribute of the os-release file,
+
+      - the value of the "Description" attribute returned by the lsb_release
+        command,
+
+      - the value of the "" field of the distro release file, appended
+        with the value of the pretty version ("" and ""
+        fields) of the distro release file, if available.
+    """
+    return _distro.name(pretty)
+
+
+def version(pretty: bool = False, best: bool = False) -> str:
+    """
+    Return the version of the current OS distribution, as a human-readable
+    string.
+
+    If *pretty* is false, the version is returned without codename (e.g.
+    "7.0").
+
+    If *pretty* is true, the codename in parenthesis is appended, if the
+    codename is non-empty (e.g. "7.0 (Maipo)").
+
+    Some distributions provide version numbers with different precisions in
+    the different sources of distribution information. Examining the different
+    sources in a fixed priority order does not always yield the most precise
+    version (e.g. for Debian 8.2, or CentOS 7.1).
+
+    Some other distributions may not provide this kind of information. In these
+    cases, an empty string would be returned. This behavior can be observed
+    with rolling releases distributions (e.g. Arch Linux).
+
+    The *best* parameter can be used to control the approach for the returned
+    version:
+
+    If *best* is false, the first non-empty version number in priority order of
+    the examined sources is returned.
+
+    If *best* is true, the most precise version number out of all examined
+    sources is returned.
+
+    **Lookup hierarchy:**
+
+    In all cases, the version number is obtained from the following sources.
+    If *best* is false, this order represents the priority order:
+
+    * the value of the "VERSION_ID" attribute of the os-release file,
+    * the value of the "Release" attribute returned by the lsb_release
+      command,
+    * the version number parsed from the "" field of the first line
+      of the distro release file,
+    * the version number parsed from the "PRETTY_NAME" attribute of the
+      os-release file, if it follows the format of the distro release files.
+    * the version number parsed from the "Description" attribute returned by
+      the lsb_release command, if it follows the format of the distro release
+      files.
+    """
+    return _distro.version(pretty, best)
+
+
+def version_parts(best: bool = False) -> Tuple[str, str, str]:
+    """
+    Return the version of the current OS distribution as a tuple
+    ``(major, minor, build_number)`` with items as follows:
+
+    * ``major``:  The result of :func:`distro.major_version`.
+
+    * ``minor``:  The result of :func:`distro.minor_version`.
+
+    * ``build_number``:  The result of :func:`distro.build_number`.
+
+    For a description of the *best* parameter, see the :func:`distro.version`
+    method.
+    """
+    return _distro.version_parts(best)
+
+
+def major_version(best: bool = False) -> str:
+    """
+    Return the major version of the current OS distribution, as a string,
+    if provided.
+    Otherwise, the empty string is returned. The major version is the first
+    part of the dot-separated version string.
+
+    For a description of the *best* parameter, see the :func:`distro.version`
+    method.
+    """
+    return _distro.major_version(best)
+
+
+def minor_version(best: bool = False) -> str:
+    """
+    Return the minor version of the current OS distribution, as a string,
+    if provided.
+    Otherwise, the empty string is returned. The minor version is the second
+    part of the dot-separated version string.
+
+    For a description of the *best* parameter, see the :func:`distro.version`
+    method.
+    """
+    return _distro.minor_version(best)
+
+
+def build_number(best: bool = False) -> str:
+    """
+    Return the build number of the current OS distribution, as a string,
+    if provided.
+    Otherwise, the empty string is returned. The build number is the third part
+    of the dot-separated version string.
+
+    For a description of the *best* parameter, see the :func:`distro.version`
+    method.
+    """
+    return _distro.build_number(best)
+
+
+def like() -> str:
+    """
+    Return a space-separated list of distro IDs of distributions that are
+    closely related to the current OS distribution in regards to packaging
+    and programming interfaces, for example distributions the current
+    distribution is a derivative from.
+
+    **Lookup hierarchy:**
+
+    This information item is only provided by the os-release file.
+    For details, see the description of the "ID_LIKE" attribute in the
+    `os-release man page
+    `_.
+    """
+    return _distro.like()
+
+
+def codename() -> str:
+    """
+    Return the codename for the release of the current OS distribution,
+    as a string.
+
+    If the distribution does not have a codename, an empty string is returned.
+
+    Note that the returned codename is not always really a codename. For
+    example, openSUSE returns "x86_64". This function does not handle such
+    cases in any special way and just returns the string it finds, if any.
+
+    **Lookup hierarchy:**
+
+    * the codename within the "VERSION" attribute of the os-release file, if
+      provided,
+
+    * the value of the "Codename" attribute returned by the lsb_release
+      command,
+
+    * the value of the "" field of the distro release file.
+    """
+    return _distro.codename()
+
+
+def info(pretty: bool = False, best: bool = False) -> InfoDict:
+    """
+    Return certain machine-readable information items about the current OS
+    distribution in a dictionary, as shown in the following example:
+
+    .. sourcecode:: python
+
+        {
+            'id': 'rhel',
+            'version': '7.0',
+            'version_parts': {
+                'major': '7',
+                'minor': '0',
+                'build_number': ''
+            },
+            'like': 'fedora',
+            'codename': 'Maipo'
+        }
+
+    The dictionary structure and keys are always the same, regardless of which
+    information items are available in the underlying data sources. The values
+    for the various keys are as follows:
+
+    * ``id``:  The result of :func:`distro.id`.
+
+    * ``version``:  The result of :func:`distro.version`.
+
+    * ``version_parts -> major``:  The result of :func:`distro.major_version`.
+
+    * ``version_parts -> minor``:  The result of :func:`distro.minor_version`.
+
+    * ``version_parts -> build_number``:  The result of
+      :func:`distro.build_number`.
+
+    * ``like``:  The result of :func:`distro.like`.
+
+    * ``codename``:  The result of :func:`distro.codename`.
+
+    For a description of the *pretty* and *best* parameters, see the
+    :func:`distro.version` method.
+    """
+    return _distro.info(pretty, best)
+
+
+def os_release_info() -> Dict[str, str]:
+    """
+    Return a dictionary containing key-value pairs for the information items
+    from the os-release file data source of the current OS distribution.
+
+    See `os-release file`_ for details about these information items.
+    """
+    return _distro.os_release_info()
+
+
+def lsb_release_info() -> Dict[str, str]:
+    """
+    Return a dictionary containing key-value pairs for the information items
+    from the lsb_release command data source of the current OS distribution.
+
+    See `lsb_release command output`_ for details about these information
+    items.
+    """
+    return _distro.lsb_release_info()
+
+
+def distro_release_info() -> Dict[str, str]:
+    """
+    Return a dictionary containing key-value pairs for the information items
+    from the distro release file data source of the current OS distribution.
+
+    See `distro release file`_ for details about these information items.
+    """
+    return _distro.distro_release_info()
+
+
+def uname_info() -> Dict[str, str]:
+    """
+    Return a dictionary containing key-value pairs for the information items
+    from the distro release file data source of the current OS distribution.
+    """
+    return _distro.uname_info()
+
+
+def os_release_attr(attribute: str) -> str:
+    """
+    Return a single named information item from the os-release file data source
+    of the current OS distribution.
+
+    Parameters:
+
+    * ``attribute`` (string): Key of the information item.
+
+    Returns:
+
+    * (string): Value of the information item, if the item exists.
+      The empty string, if the item does not exist.
+
+    See `os-release file`_ for details about these information items.
+    """
+    return _distro.os_release_attr(attribute)
+
+
+def lsb_release_attr(attribute: str) -> str:
+    """
+    Return a single named information item from the lsb_release command output
+    data source of the current OS distribution.
+
+    Parameters:
+
+    * ``attribute`` (string): Key of the information item.
+
+    Returns:
+
+    * (string): Value of the information item, if the item exists.
+      The empty string, if the item does not exist.
+
+    See `lsb_release command output`_ for details about these information
+    items.
+    """
+    return _distro.lsb_release_attr(attribute)
+
+
+def distro_release_attr(attribute: str) -> str:
+    """
+    Return a single named information item from the distro release file
+    data source of the current OS distribution.
+
+    Parameters:
+
+    * ``attribute`` (string): Key of the information item.
+
+    Returns:
+
+    * (string): Value of the information item, if the item exists.
+      The empty string, if the item does not exist.
+
+    See `distro release file`_ for details about these information items.
+    """
+    return _distro.distro_release_attr(attribute)
+
+
+def uname_attr(attribute: str) -> str:
+    """
+    Return a single named information item from the distro release file
+    data source of the current OS distribution.
+
+    Parameters:
+
+    * ``attribute`` (string): Key of the information item.
+
+    Returns:
+
+    * (string): Value of the information item, if the item exists.
+                The empty string, if the item does not exist.
+    """
+    return _distro.uname_attr(attribute)
+
+
+try:
+    from functools import cached_property
+except ImportError:
+    # Python < 3.8
+    class cached_property:  # type: ignore
+        """A version of @property which caches the value.  On access, it calls the
+        underlying function and sets the value in `__dict__` so future accesses
+        will not re-call the property.
+        """
+
+        def __init__(self, f: Callable[[Any], Any]) -> None:
+            self._fname = f.__name__
+            self._f = f
+
+        def __get__(self, obj: Any, owner: Type[Any]) -> Any:
+            assert obj is not None, f"call {self._fname} on an instance"
+            ret = obj.__dict__[self._fname] = self._f(obj)
+            return ret
+
+
+class LinuxDistribution:
+    """
+    Provides information about a OS distribution.
+
+    This package creates a private module-global instance of this class with
+    default initialization arguments, that is used by the
+    `consolidated accessor functions`_ and `single source accessor functions`_.
+    By using default initialization arguments, that module-global instance
+    returns data about the current OS distribution (i.e. the distro this
+    package runs on).
+
+    Normally, it is not necessary to create additional instances of this class.
+    However, in situations where control is needed over the exact data sources
+    that are used, instances of this class can be created with a specific
+    distro release file, or a specific os-release file, or without invoking the
+    lsb_release command.
+    """
+
+    def __init__(
+        self,
+        include_lsb: Optional[bool] = None,
+        os_release_file: str = "",
+        distro_release_file: str = "",
+        include_uname: Optional[bool] = None,
+        root_dir: Optional[str] = None,
+        include_oslevel: Optional[bool] = None,
+    ) -> None:
+        """
+        The initialization method of this class gathers information from the
+        available data sources, and stores that in private instance attributes.
+        Subsequent access to the information items uses these private instance
+        attributes, so that the data sources are read only once.
+
+        Parameters:
+
+        * ``include_lsb`` (bool): Controls whether the
+          `lsb_release command output`_ is included as a data source.
+
+          If the lsb_release command is not available in the program execution
+          path, the data source for the lsb_release command will be empty.
+
+        * ``os_release_file`` (string): The path name of the
+          `os-release file`_ that is to be used as a data source.
+
+          An empty string (the default) will cause the default path name to
+          be used (see `os-release file`_ for details).
+
+          If the specified or defaulted os-release file does not exist, the
+          data source for the os-release file will be empty.
+
+        * ``distro_release_file`` (string): The path name of the
+          `distro release file`_ that is to be used as a data source.
+
+          An empty string (the default) will cause a default search algorithm
+          to be used (see `distro release file`_ for details).
+
+          If the specified distro release file does not exist, or if no default
+          distro release file can be found, the data source for the distro
+          release file will be empty.
+
+        * ``include_uname`` (bool): Controls whether uname command output is
+          included as a data source. If the uname command is not available in
+          the program execution path the data source for the uname command will
+          be empty.
+
+        * ``root_dir`` (string): The absolute path to the root directory to use
+          to find distro-related information files. Note that ``include_*``
+          parameters must not be enabled in combination with ``root_dir``.
+
+        * ``include_oslevel`` (bool): Controls whether (AIX) oslevel command
+          output is included as a data source. If the oslevel command is not
+          available in the program execution path the data source will be
+          empty.
+
+        Public instance attributes:
+
+        * ``os_release_file`` (string): The path name of the
+          `os-release file`_ that is actually used as a data source. The
+          empty string if no distro release file is used as a data source.
+
+        * ``distro_release_file`` (string): The path name of the
+          `distro release file`_ that is actually used as a data source. The
+          empty string if no distro release file is used as a data source.
+
+        * ``include_lsb`` (bool): The result of the ``include_lsb`` parameter.
+          This controls whether the lsb information will be loaded.
+
+        * ``include_uname`` (bool): The result of the ``include_uname``
+          parameter. This controls whether the uname information will
+          be loaded.
+
+        * ``include_oslevel`` (bool): The result of the ``include_oslevel``
+          parameter. This controls whether (AIX) oslevel information will be
+          loaded.
+
+        * ``root_dir`` (string): The result of the ``root_dir`` parameter.
+          The absolute path to the root directory to use to find distro-related
+          information files.
+
+        Raises:
+
+        * :py:exc:`ValueError`: Initialization parameters combination is not
+           supported.
+
+        * :py:exc:`OSError`: Some I/O issue with an os-release file or distro
+          release file.
+
+        * :py:exc:`UnicodeError`: A data source has unexpected characters or
+          uses an unexpected encoding.
+        """
+        self.root_dir = root_dir
+        self.etc_dir = os.path.join(root_dir, "etc") if root_dir else _UNIXCONFDIR
+        self.usr_lib_dir = (
+            os.path.join(root_dir, "usr/lib") if root_dir else _UNIXUSRLIBDIR
+        )
+
+        if os_release_file:
+            self.os_release_file = os_release_file
+        else:
+            etc_dir_os_release_file = os.path.join(self.etc_dir, _OS_RELEASE_BASENAME)
+            usr_lib_os_release_file = os.path.join(
+                self.usr_lib_dir, _OS_RELEASE_BASENAME
+            )
+
+            # NOTE: The idea is to respect order **and** have it set
+            #       at all times for API backwards compatibility.
+            if os.path.isfile(etc_dir_os_release_file) or not os.path.isfile(
+                usr_lib_os_release_file
+            ):
+                self.os_release_file = etc_dir_os_release_file
+            else:
+                self.os_release_file = usr_lib_os_release_file
+
+        self.distro_release_file = distro_release_file or ""  # updated later
+
+        is_root_dir_defined = root_dir is not None
+        if is_root_dir_defined and (include_lsb or include_uname or include_oslevel):
+            raise ValueError(
+                "Including subprocess data sources from specific root_dir is disallowed"
+                " to prevent false information"
+            )
+        self.include_lsb = (
+            include_lsb if include_lsb is not None else not is_root_dir_defined
+        )
+        self.include_uname = (
+            include_uname if include_uname is not None else not is_root_dir_defined
+        )
+        self.include_oslevel = (
+            include_oslevel if include_oslevel is not None else not is_root_dir_defined
+        )
+
+    def __repr__(self) -> str:
+        """Return repr of all info"""
+        return (
+            "LinuxDistribution("
+            "os_release_file={self.os_release_file!r}, "
+            "distro_release_file={self.distro_release_file!r}, "
+            "include_lsb={self.include_lsb!r}, "
+            "include_uname={self.include_uname!r}, "
+            "include_oslevel={self.include_oslevel!r}, "
+            "root_dir={self.root_dir!r}, "
+            "_os_release_info={self._os_release_info!r}, "
+            "_lsb_release_info={self._lsb_release_info!r}, "
+            "_distro_release_info={self._distro_release_info!r}, "
+            "_uname_info={self._uname_info!r}, "
+            "_oslevel_info={self._oslevel_info!r})".format(self=self)
+        )
+
+    def linux_distribution(
+        self, full_distribution_name: bool = True
+    ) -> Tuple[str, str, str]:
+        """
+        Return information about the OS distribution that is compatible
+        with Python's :func:`platform.linux_distribution`, supporting a subset
+        of its parameters.
+
+        For details, see :func:`distro.linux_distribution`.
+        """
+        return (
+            self.name() if full_distribution_name else self.id(),
+            self.version(),
+            self._os_release_info.get("release_codename") or self.codename(),
+        )
+
+    def id(self) -> str:
+        """Return the distro ID of the OS distribution, as a string.
+
+        For details, see :func:`distro.id`.
+        """
+
+        def normalize(distro_id: str, table: Dict[str, str]) -> str:
+            distro_id = distro_id.lower().replace(" ", "_")
+            return table.get(distro_id, distro_id)
+
+        distro_id = self.os_release_attr("id")
+        if distro_id:
+            return normalize(distro_id, NORMALIZED_OS_ID)
+
+        distro_id = self.lsb_release_attr("distributor_id")
+        if distro_id:
+            return normalize(distro_id, NORMALIZED_LSB_ID)
+
+        distro_id = self.distro_release_attr("id")
+        if distro_id:
+            return normalize(distro_id, NORMALIZED_DISTRO_ID)
+
+        distro_id = self.uname_attr("id")
+        if distro_id:
+            return normalize(distro_id, NORMALIZED_DISTRO_ID)
+
+        return ""
+
+    def name(self, pretty: bool = False) -> str:
+        """
+        Return the name of the OS distribution, as a string.
+
+        For details, see :func:`distro.name`.
+        """
+        name = (
+            self.os_release_attr("name")
+            or self.lsb_release_attr("distributor_id")
+            or self.distro_release_attr("name")
+            or self.uname_attr("name")
+        )
+        if pretty:
+            name = self.os_release_attr("pretty_name") or self.lsb_release_attr(
+                "description"
+            )
+            if not name:
+                name = self.distro_release_attr("name") or self.uname_attr("name")
+                version = self.version(pretty=True)
+                if version:
+                    name = f"{name} {version}"
+        return name or ""
+
+    def version(self, pretty: bool = False, best: bool = False) -> str:
+        """
+        Return the version of the OS distribution, as a string.
+
+        For details, see :func:`distro.version`.
+        """
+        versions = [
+            self.os_release_attr("version_id"),
+            self.lsb_release_attr("release"),
+            self.distro_release_attr("version_id"),
+            self._parse_distro_release_content(self.os_release_attr("pretty_name")).get(
+                "version_id", ""
+            ),
+            self._parse_distro_release_content(
+                self.lsb_release_attr("description")
+            ).get("version_id", ""),
+            self.uname_attr("release"),
+        ]
+        if self.uname_attr("id").startswith("aix"):
+            # On AIX platforms, prefer oslevel command output.
+            versions.insert(0, self.oslevel_info())
+        elif self.id() == "debian" or "debian" in self.like().split():
+            # On Debian-like, add debian_version file content to candidates list.
+            versions.append(self._debian_version)
+        version = ""
+        if best:
+            # This algorithm uses the last version in priority order that has
+            # the best precision. If the versions are not in conflict, that
+            # does not matter; otherwise, using the last one instead of the
+            # first one might be considered a surprise.
+            for v in versions:
+                if v.count(".") > version.count(".") or version == "":
+                    version = v
+        else:
+            for v in versions:
+                if v != "":
+                    version = v
+                    break
+        if pretty and version and self.codename():
+            version = f"{version} ({self.codename()})"
+        return version
+
+    def version_parts(self, best: bool = False) -> Tuple[str, str, str]:
+        """
+        Return the version of the OS distribution, as a tuple of version
+        numbers.
+
+        For details, see :func:`distro.version_parts`.
+        """
+        version_str = self.version(best=best)
+        if version_str:
+            version_regex = re.compile(r"(\d+)\.?(\d+)?\.?(\d+)?")
+            matches = version_regex.match(version_str)
+            if matches:
+                major, minor, build_number = matches.groups()
+                return major, minor or "", build_number or ""
+        return "", "", ""
+
+    def major_version(self, best: bool = False) -> str:
+        """
+        Return the major version number of the current distribution.
+
+        For details, see :func:`distro.major_version`.
+        """
+        return self.version_parts(best)[0]
+
+    def minor_version(self, best: bool = False) -> str:
+        """
+        Return the minor version number of the current distribution.
+
+        For details, see :func:`distro.minor_version`.
+        """
+        return self.version_parts(best)[1]
+
+    def build_number(self, best: bool = False) -> str:
+        """
+        Return the build number of the current distribution.
+
+        For details, see :func:`distro.build_number`.
+        """
+        return self.version_parts(best)[2]
+
+    def like(self) -> str:
+        """
+        Return the IDs of distributions that are like the OS distribution.
+
+        For details, see :func:`distro.like`.
+        """
+        return self.os_release_attr("id_like") or ""
+
+    def codename(self) -> str:
+        """
+        Return the codename of the OS distribution.
+
+        For details, see :func:`distro.codename`.
+        """
+        try:
+            # Handle os_release specially since distros might purposefully set
+            # this to empty string to have no codename
+            return self._os_release_info["codename"]
+        except KeyError:
+            return (
+                self.lsb_release_attr("codename")
+                or self.distro_release_attr("codename")
+                or ""
+            )
+
+    def info(self, pretty: bool = False, best: bool = False) -> InfoDict:
+        """
+        Return certain machine-readable information about the OS
+        distribution.
+
+        For details, see :func:`distro.info`.
+        """
+        return InfoDict(
+            id=self.id(),
+            version=self.version(pretty, best),
+            version_parts=VersionDict(
+                major=self.major_version(best),
+                minor=self.minor_version(best),
+                build_number=self.build_number(best),
+            ),
+            like=self.like(),
+            codename=self.codename(),
+        )
+
+    def os_release_info(self) -> Dict[str, str]:
+        """
+        Return a dictionary containing key-value pairs for the information
+        items from the os-release file data source of the OS distribution.
+
+        For details, see :func:`distro.os_release_info`.
+        """
+        return self._os_release_info
+
+    def lsb_release_info(self) -> Dict[str, str]:
+        """
+        Return a dictionary containing key-value pairs for the information
+        items from the lsb_release command data source of the OS
+        distribution.
+
+        For details, see :func:`distro.lsb_release_info`.
+        """
+        return self._lsb_release_info
+
+    def distro_release_info(self) -> Dict[str, str]:
+        """
+        Return a dictionary containing key-value pairs for the information
+        items from the distro release file data source of the OS
+        distribution.
+
+        For details, see :func:`distro.distro_release_info`.
+        """
+        return self._distro_release_info
+
+    def uname_info(self) -> Dict[str, str]:
+        """
+        Return a dictionary containing key-value pairs for the information
+        items from the uname command data source of the OS distribution.
+
+        For details, see :func:`distro.uname_info`.
+        """
+        return self._uname_info
+
+    def oslevel_info(self) -> str:
+        """
+        Return AIX' oslevel command output.
+        """
+        return self._oslevel_info
+
+    def os_release_attr(self, attribute: str) -> str:
+        """
+        Return a single named information item from the os-release file data
+        source of the OS distribution.
+
+        For details, see :func:`distro.os_release_attr`.
+        """
+        return self._os_release_info.get(attribute, "")
+
+    def lsb_release_attr(self, attribute: str) -> str:
+        """
+        Return a single named information item from the lsb_release command
+        output data source of the OS distribution.
+
+        For details, see :func:`distro.lsb_release_attr`.
+        """
+        return self._lsb_release_info.get(attribute, "")
+
+    def distro_release_attr(self, attribute: str) -> str:
+        """
+        Return a single named information item from the distro release file
+        data source of the OS distribution.
+
+        For details, see :func:`distro.distro_release_attr`.
+        """
+        return self._distro_release_info.get(attribute, "")
+
+    def uname_attr(self, attribute: str) -> str:
+        """
+        Return a single named information item from the uname command
+        output data source of the OS distribution.
+
+        For details, see :func:`distro.uname_attr`.
+        """
+        return self._uname_info.get(attribute, "")
+
+    @cached_property
+    def _os_release_info(self) -> Dict[str, str]:
+        """
+        Get the information items from the specified os-release file.
+
+        Returns:
+            A dictionary containing all information items.
+        """
+        if os.path.isfile(self.os_release_file):
+            with open(self.os_release_file, encoding="utf-8") as release_file:
+                return self._parse_os_release_content(release_file)
+        return {}
+
+    @staticmethod
+    def _parse_os_release_content(lines: TextIO) -> Dict[str, str]:
+        """
+        Parse the lines of an os-release file.
+
+        Parameters:
+
+        * lines: Iterable through the lines in the os-release file.
+                 Each line must be a unicode string or a UTF-8 encoded byte
+                 string.
+
+        Returns:
+            A dictionary containing all information items.
+        """
+        props = {}
+        lexer = shlex.shlex(lines, posix=True)
+        lexer.whitespace_split = True
+
+        tokens = list(lexer)
+        for token in tokens:
+            # At this point, all shell-like parsing has been done (i.e.
+            # comments processed, quotes and backslash escape sequences
+            # processed, multi-line values assembled, trailing newlines
+            # stripped, etc.), so the tokens are now either:
+            # * variable assignments: var=value
+            # * commands or their arguments (not allowed in os-release)
+            # Ignore any tokens that are not variable assignments
+            if "=" in token:
+                k, v = token.split("=", 1)
+                props[k.lower()] = v
+
+        if "version" in props:
+            # extract release codename (if any) from version attribute
+            match = re.search(r"\((\D+)\)|,\s*(\D+)", props["version"])
+            if match:
+                release_codename = match.group(1) or match.group(2)
+                props["codename"] = props["release_codename"] = release_codename
+
+        if "version_codename" in props:
+            # os-release added a version_codename field.  Use that in
+            # preference to anything else Note that some distros purposefully
+            # do not have code names.  They should be setting
+            # version_codename=""
+            props["codename"] = props["version_codename"]
+        elif "ubuntu_codename" in props:
+            # Same as above but a non-standard field name used on older Ubuntus
+            props["codename"] = props["ubuntu_codename"]
+
+        return props
+
+    @cached_property
+    def _lsb_release_info(self) -> Dict[str, str]:
+        """
+        Get the information items from the lsb_release command output.
+
+        Returns:
+            A dictionary containing all information items.
+        """
+        if not self.include_lsb:
+            return {}
+        try:
+            cmd = ("lsb_release", "-a")
+            stdout = subprocess.check_output(cmd, stderr=subprocess.DEVNULL)
+        # Command not found or lsb_release returned error
+        except (OSError, subprocess.CalledProcessError):
+            return {}
+        content = self._to_str(stdout).splitlines()
+        return self._parse_lsb_release_content(content)
+
+    @staticmethod
+    def _parse_lsb_release_content(lines: Iterable[str]) -> Dict[str, str]:
+        """
+        Parse the output of the lsb_release command.
+
+        Parameters:
+
+        * lines: Iterable through the lines of the lsb_release output.
+                 Each line must be a unicode string or a UTF-8 encoded byte
+                 string.
+
+        Returns:
+            A dictionary containing all information items.
+        """
+        props = {}
+        for line in lines:
+            kv = line.strip("\n").split(":", 1)
+            if len(kv) != 2:
+                # Ignore lines without colon.
+                continue
+            k, v = kv
+            props.update({k.replace(" ", "_").lower(): v.strip()})
+        return props
+
+    @cached_property
+    def _uname_info(self) -> Dict[str, str]:
+        if not self.include_uname:
+            return {}
+        try:
+            cmd = ("uname", "-rs")
+            stdout = subprocess.check_output(cmd, stderr=subprocess.DEVNULL)
+        except OSError:
+            return {}
+        content = self._to_str(stdout).splitlines()
+        return self._parse_uname_content(content)
+
+    @cached_property
+    def _oslevel_info(self) -> str:
+        if not self.include_oslevel:
+            return ""
+        try:
+            stdout = subprocess.check_output("oslevel", stderr=subprocess.DEVNULL)
+        except (OSError, subprocess.CalledProcessError):
+            return ""
+        return self._to_str(stdout).strip()
+
+    @cached_property
+    def _debian_version(self) -> str:
+        try:
+            with open(
+                os.path.join(self.etc_dir, "debian_version"), encoding="ascii"
+            ) as fp:
+                return fp.readline().rstrip()
+        except FileNotFoundError:
+            return ""
+
+    @staticmethod
+    def _parse_uname_content(lines: Sequence[str]) -> Dict[str, str]:
+        if not lines:
+            return {}
+        props = {}
+        match = re.search(r"^([^\s]+)\s+([\d\.]+)", lines[0].strip())
+        if match:
+            name, version = match.groups()
+
+            # This is to prevent the Linux kernel version from
+            # appearing as the 'best' version on otherwise
+            # identifiable distributions.
+            if name == "Linux":
+                return {}
+            props["id"] = name.lower()
+            props["name"] = name
+            props["release"] = version
+        return props
+
+    @staticmethod
+    def _to_str(bytestring: bytes) -> str:
+        encoding = sys.getfilesystemencoding()
+        return bytestring.decode(encoding)
+
+    @cached_property
+    def _distro_release_info(self) -> Dict[str, str]:
+        """
+        Get the information items from the specified distro release file.
+
+        Returns:
+            A dictionary containing all information items.
+        """
+        if self.distro_release_file:
+            # If it was specified, we use it and parse what we can, even if
+            # its file name or content does not match the expected pattern.
+            distro_info = self._parse_distro_release_file(self.distro_release_file)
+            basename = os.path.basename(self.distro_release_file)
+            # The file name pattern for user-specified distro release files
+            # is somewhat more tolerant (compared to when searching for the
+            # file), because we want to use what was specified as best as
+            # possible.
+            match = _DISTRO_RELEASE_BASENAME_PATTERN.match(basename)
+        else:
+            try:
+                basenames = [
+                    basename
+                    for basename in os.listdir(self.etc_dir)
+                    if basename not in _DISTRO_RELEASE_IGNORE_BASENAMES
+                    and os.path.isfile(os.path.join(self.etc_dir, basename))
+                ]
+                # We sort for repeatability in cases where there are multiple
+                # distro specific files; e.g. CentOS, Oracle, Enterprise all
+                # containing `redhat-release` on top of their own.
+                basenames.sort()
+            except OSError:
+                # This may occur when /etc is not readable but we can't be
+                # sure about the *-release files. Check common entries of
+                # /etc for information. If they turn out to not be there the
+                # error is handled in `_parse_distro_release_file()`.
+                basenames = _DISTRO_RELEASE_BASENAMES
+            for basename in basenames:
+                match = _DISTRO_RELEASE_BASENAME_PATTERN.match(basename)
+                if match is None:
+                    continue
+                filepath = os.path.join(self.etc_dir, basename)
+                distro_info = self._parse_distro_release_file(filepath)
+                # The name is always present if the pattern matches.
+                if "name" not in distro_info:
+                    continue
+                self.distro_release_file = filepath
+                break
+            else:  # the loop didn't "break": no candidate.
+                return {}
+
+        if match is not None:
+            distro_info["id"] = match.group(1)
+
+        # CloudLinux < 7: manually enrich info with proper id.
+        if "cloudlinux" in distro_info.get("name", "").lower():
+            distro_info["id"] = "cloudlinux"
+
+        return distro_info
+
+    def _parse_distro_release_file(self, filepath: str) -> Dict[str, str]:
+        """
+        Parse a distro release file.
+
+        Parameters:
+
+        * filepath: Path name of the distro release file.
+
+        Returns:
+            A dictionary containing all information items.
+        """
+        try:
+            with open(filepath, encoding="utf-8") as fp:
+                # Only parse the first line. For instance, on SLES there
+                # are multiple lines. We don't want them...
+                return self._parse_distro_release_content(fp.readline())
+        except OSError:
+            # Ignore not being able to read a specific, seemingly version
+            # related file.
+            # See https://github.com/python-distro/distro/issues/162
+            return {}
+
+    @staticmethod
+    def _parse_distro_release_content(line: str) -> Dict[str, str]:
+        """
+        Parse a line from a distro release file.
+
+        Parameters:
+        * line: Line from the distro release file. Must be a unicode string
+                or a UTF-8 encoded byte string.
+
+        Returns:
+            A dictionary containing all information items.
+        """
+        matches = _DISTRO_RELEASE_CONTENT_REVERSED_PATTERN.match(line.strip()[::-1])
+        distro_info = {}
+        if matches:
+            # regexp ensures non-None
+            distro_info["name"] = matches.group(3)[::-1]
+            if matches.group(2):
+                distro_info["version_id"] = matches.group(2)[::-1]
+            if matches.group(1):
+                distro_info["codename"] = matches.group(1)[::-1]
+        elif line:
+            distro_info["name"] = line.strip()
+        return distro_info
+
+
+_distro = LinuxDistribution()
+
+
+def main() -> None:
+    logger = logging.getLogger(__name__)
+    logger.setLevel(logging.DEBUG)
+    logger.addHandler(logging.StreamHandler(sys.stdout))
+
+    parser = argparse.ArgumentParser(description="OS distro info tool")
+    parser.add_argument(
+        "--json", "-j", help="Output in machine readable format", action="store_true"
+    )
+
+    parser.add_argument(
+        "--root-dir",
+        "-r",
+        type=str,
+        dest="root_dir",
+        help="Path to the root filesystem directory (defaults to /)",
+    )
+
+    args = parser.parse_args()
+
+    if args.root_dir:
+        dist = LinuxDistribution(
+            include_lsb=False,
+            include_uname=False,
+            include_oslevel=False,
+            root_dir=args.root_dir,
+        )
+    else:
+        dist = _distro
+
+    if args.json:
+        logger.info(json.dumps(dist.info(), indent=4, sort_keys=True))
+    else:
+        logger.info("Name: %s", dist.name(pretty=True))
+        distribution_version = dist.version(pretty=True)
+        logger.info("Version: %s", distribution_version)
+        distribution_codename = dist.codename()
+        logger.info("Codename: %s", distribution_codename)
+
+
+if __name__ == "__main__":
+    main()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/py.typed b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/distro/py.typed
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/LICENSE.md b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/LICENSE.md
new file mode 100644
index 0000000000000000000000000000000000000000..f706835ab3a5dd709a6e1f57aee0a94ae1415df6
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/LICENSE.md
@@ -0,0 +1,31 @@
+BSD 3-Clause License
+
+Copyright (c) 2013-2026, Kim Davies and contributors.
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+1. Redistributions of source code must retain the above copyright
+   notice, this list of conditions and the following disclaimer.
+
+2. Redistributions in binary form must reproduce the above copyright
+   notice, this list of conditions and the following disclaimer in the
+   documentation and/or other materials provided with the distribution.
+
+3. Neither the name of the copyright holder nor the names of its
+   contributors may be used to endorse or promote products derived from
+   this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
+TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..cfdc030a751b089fc7e38fc88093b791605d501d
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/__init__.py
@@ -0,0 +1,45 @@
+from .core import (
+    IDNABidiError,
+    IDNAError,
+    InvalidCodepoint,
+    InvalidCodepointContext,
+    alabel,
+    check_bidi,
+    check_hyphen_ok,
+    check_initial_combiner,
+    check_label,
+    check_nfc,
+    decode,
+    encode,
+    ulabel,
+    uts46_remap,
+    valid_contextj,
+    valid_contexto,
+    valid_label_length,
+    valid_string_length,
+)
+from .intranges import intranges_contain
+from .package_data import __version__
+
+__all__ = [
+    "__version__",
+    "IDNABidiError",
+    "IDNAError",
+    "InvalidCodepoint",
+    "InvalidCodepointContext",
+    "alabel",
+    "check_bidi",
+    "check_hyphen_ok",
+    "check_initial_combiner",
+    "check_label",
+    "check_nfc",
+    "decode",
+    "encode",
+    "intranges_contain",
+    "ulabel",
+    "uts46_remap",
+    "valid_contextj",
+    "valid_contexto",
+    "valid_label_length",
+    "valid_string_length",
+]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/__main__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/__main__.py
new file mode 100644
index 0000000000000000000000000000000000000000..dbdd066172160ef2d47b29f0caa00e27c62ebc20
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/__main__.py
@@ -0,0 +1,6 @@
+import sys
+
+from .cli import main
+
+if __name__ == "__main__":
+    sys.exit(main())
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/cli.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/cli.py
new file mode 100644
index 0000000000000000000000000000000000000000..4acda2c0f03561ee7e2a80611bdcb35900bb34e0
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/cli.py
@@ -0,0 +1,128 @@
+"""Command-line interface for the :mod:`idna` package.
+
+Invoked via ``python -m idna``. See :func:`main` for the entry point.
+"""
+
+import argparse
+import sys
+from collections.abc import Iterable
+from itertools import chain
+from typing import IO, Optional
+
+from . import IDNAError, decode, encode
+from .core import _alabel_prefix, _unicode_dots_re
+from .package_data import __version__
+
+
+def _looks_like_alabel(s: str) -> bool:
+    """Return True if any label in ``s`` carries the ``xn--`` ACE prefix."""
+    prefix = _alabel_prefix.decode("ascii")
+    return any(label.lower().startswith(prefix) for label in _unicode_dots_re.split(s))
+
+
+def _build_parser() -> argparse.ArgumentParser:
+    parser = argparse.ArgumentParser(
+        prog="python -m idna",
+        description=(
+            "Convert a domain name between its Unicode (U-label) and "
+            "ASCII-compatible (A-label) forms. With no mode flag, the "
+            "direction is chosen from the first input — if it contains "
+            "an xn-- label the stream is decoded, otherwise it is "
+            "encoded — and the same mode is applied to every remaining "
+            "input. UTS #46 mapping is applied by default; pass "
+            "--strict to disable it. When no domains are given on the "
+            "command line and stdin is piped, one domain per line is "
+            "read from stdin."
+        ),
+    )
+    mode = parser.add_mutually_exclusive_group()
+    mode.add_argument(
+        "-e",
+        "--encode",
+        dest="mode",
+        action="store_const",
+        const="encode",
+        help="Encode the input to its ASCII A-label form.",
+    )
+    mode.add_argument(
+        "-d",
+        "--decode",
+        dest="mode",
+        action="store_const",
+        const="decode",
+        help="Decode the input from its ASCII A-label form.",
+    )
+    parser.add_argument(
+        "--strict",
+        action="store_true",
+        help="Disable the default UTS #46 mapping and apply IDNA 2008 rules verbatim.",
+    )
+    parser.add_argument(
+        "--version",
+        action="version",
+        version=f"idna {__version__}",
+    )
+    parser.add_argument(
+        "domain",
+        nargs="*",
+        help="One or more domain names to convert. Omit to read from stdin.",
+    )
+    return parser
+
+
+def _iter_stdin(stream: IO[str]) -> Iterable[str]:
+    """Yield non-empty stripped lines from ``stream``, ignoring blanks."""
+    for line in stream:
+        stripped = line.strip()
+        if stripped:
+            yield stripped
+
+
+def _convert_one(domain: str, mode: str, uts46: bool) -> bool:
+    """Convert ``domain`` and write the result; return ``False`` on failure."""
+    try:
+        if mode == "decode":
+            print(decode(domain, uts46=uts46))
+        else:
+            print(encode(domain, uts46=uts46).decode("ascii"))
+    except IDNAError as err:
+        print(f"idna: {mode} failed for {domain!r}: {err}", file=sys.stderr)
+        return False
+    return True
+
+
+def main(argv: Optional[list[str]] = None) -> int:
+    """Entry point for ``python -m idna``.
+
+    When more than one domain is supplied (via positional arguments or
+    piped stdin) and no mode flag is given, the first input determines
+    the direction and that mode is applied uniformly to the rest.
+
+    :param argv: Argument list excluding the program name. Defaults to
+        :data:`sys.argv` when ``None``.
+    :returns: ``0`` on success, ``1`` if any conversion fails.
+    """
+    parser = _build_parser()
+    args = parser.parse_args(argv)
+    uts46 = not args.strict
+
+    if args.domain:
+        domains: Iterable[str] = args.domain
+    elif not sys.stdin.isatty():
+        domains = _iter_stdin(sys.stdin)
+    else:
+        parser.error("a domain argument is required when stdin is a terminal")
+
+    iterator = iter(domains)
+    first = next(iterator, None)
+    if first is None:
+        return 0
+
+    mode = args.mode or ("decode" if _looks_like_alabel(first) else "encode")
+
+    results = [_convert_one(domain, mode, uts46) for domain in chain([first], iterator)]
+    return 0 if all(results) else 1
+
+
+if __name__ == "__main__":
+    sys.exit(main())
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/codec.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/codec.py
new file mode 100644
index 0000000000000000000000000000000000000000..83b42fe42b51adbe1cf9dbea79c4c8d8dbf8a0b9
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/codec.py
@@ -0,0 +1,159 @@
+import codecs
+from typing import Any, Optional
+
+from .core import IDNAError, _unicode_dots_re, alabel, decode, encode, ulabel
+
+
+class Codec(codecs.Codec):
+    """Stateless IDNA 2008 codec.
+
+    Implements the :class:`codecs.Codec` protocol so that the whole-domain
+    encoder (:func:`idna.encode`) and decoder (:func:`idna.decode`) are
+    accessible through the standard codec machinery as ``"idna2008"``.
+
+    Only the ``"strict"`` error handler is supported; any other handler
+    raises :exc:`~idna.IDNAError`.
+    """
+
+    def encode(self, data: str, errors: str = "strict") -> tuple[bytes, int]:  # ty: ignore[invalid-method-override]
+        if errors != "strict":
+            raise IDNAError(f'Unsupported error handling "{errors}"')
+
+        if not data:
+            return b"", 0
+
+        return encode(data), len(data)
+
+    def decode(self, data: bytes, errors: str = "strict") -> tuple[str, int]:  # ty: ignore[invalid-method-override]
+        if errors != "strict":
+            raise IDNAError(f'Unsupported error handling "{errors}"')
+
+        if not data:
+            return "", 0
+
+        return decode(data), len(data)
+
+
+class IncrementalEncoder(codecs.BufferedIncrementalEncoder):
+    """Incremental IDNA 2008 encoder.
+
+    Buffers a partial trailing label across calls until either the next
+    label separator is seen or ``final=True``, so that streamed input is
+    encoded one whole label at a time. Any of the four Unicode label
+    separators (``U+002E``, ``U+3002``, ``U+FF0E``, ``U+FF61``) ends a
+    label; the result always uses ``U+002E`` as the separator.
+
+    Only the ``"strict"`` error handler is supported.
+    """
+
+    def _buffer_encode(self, data: str, errors: str, final: bool) -> tuple[bytes, int]:  # ty: ignore[invalid-method-override]
+        if errors != "strict":
+            raise IDNAError(f'Unsupported error handling "{errors}"')
+
+        if not data:
+            return b"", 0
+
+        labels = _unicode_dots_re.split(data)
+        trailing_dot = b""
+        if labels:
+            if not labels[-1]:
+                trailing_dot = b"."
+                del labels[-1]
+            elif not final:
+                # Keep potentially unfinished label until the next call
+                del labels[-1]
+                if labels:
+                    trailing_dot = b"."
+
+        result = []
+        size = 0
+        for label in labels:
+            result.append(alabel(label))
+            if size:
+                size += 1
+            size += len(label)
+
+        # Join with U+002E
+        result_bytes = b".".join(result) + trailing_dot
+        size += len(trailing_dot)
+        return result_bytes, size
+
+
+class IncrementalDecoder(codecs.BufferedIncrementalDecoder):
+    """Incremental IDNA 2008 decoder.
+
+    Buffers a partial trailing label across calls until either the next
+    label separator is seen or ``final=True``, so that streamed input is
+    decoded one whole label at a time.
+
+    Only the ``"strict"`` error handler is supported.
+    """
+
+    def _buffer_decode(self, data: Any, errors: str, final: bool) -> tuple[str, int]:  # ty: ignore[invalid-method-override]
+        if errors != "strict":
+            raise IDNAError(f'Unsupported error handling "{errors}"')
+
+        if not data:
+            return ("", 0)
+
+        if not isinstance(data, str):
+            data = str(data, "ascii")
+
+        labels = _unicode_dots_re.split(data)
+        trailing_dot = ""
+        if labels:
+            if not labels[-1]:
+                trailing_dot = "."
+                del labels[-1]
+            elif not final:
+                # Keep potentially unfinished label until the next call
+                del labels[-1]
+                if labels:
+                    trailing_dot = "."
+
+        result = []
+        size = 0
+        for label in labels:
+            result.append(ulabel(label))
+            if size:
+                size += 1
+            size += len(label)
+
+        result_str = ".".join(result) + trailing_dot
+        size += len(trailing_dot)
+        return (result_str, size)
+
+
+class StreamWriter(Codec, codecs.StreamWriter):
+    pass
+
+
+class StreamReader(Codec, codecs.StreamReader):
+    pass
+
+
+def search_function(name: str) -> Optional[codecs.CodecInfo]:
+    """Codec search function registered with :mod:`codecs`.
+
+    Returns a :class:`codecs.CodecInfo` for the ``"idna2008"`` codec name
+    so that ``str.encode("idna2008")`` and ``bytes.decode("idna2008")``
+    invoke the IDNA 2008 codec defined in this module.
+
+    :param name: The codec name being looked up.
+    :returns: A :class:`codecs.CodecInfo` instance if ``name`` is
+        ``"idna2008"``, otherwise ``None``.
+    """
+    if name != "idna2008":
+        return None
+    return codecs.CodecInfo(
+        name=name,
+        encode=Codec().encode,
+        decode=Codec().decode,  # type: ignore
+        incrementalencoder=IncrementalEncoder,
+        incrementaldecoder=IncrementalDecoder,
+        streamwriter=StreamWriter,
+        streamreader=StreamReader,
+    )
+
+
+codecs.register(search_function)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/compat.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/compat.py
new file mode 100644
index 0000000000000000000000000000000000000000..1d01e3d9750860e6ec87fb7c0955cee6bcd9fcc1
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/compat.py
@@ -0,0 +1,41 @@
+from typing import Any, Union
+
+from .core import decode, encode
+
+
+def ToASCII(label: str) -> bytes:
+    """Compatibility shim for :rfc:`3490` ``ToASCII``.
+
+    Delegates to :func:`idna.encode` (IDNA 2008). Provided to ease porting
+    of code written against the legacy :mod:`encodings.idna` API; new code
+    should call :func:`idna.encode` directly.
+
+    :param label: The label or domain to encode.
+    :returns: The encoded form as ASCII :class:`bytes`.
+    """
+    return encode(label)
+
+
+def ToUnicode(label: Union[bytes, bytearray]) -> str:
+    """Compatibility shim for :rfc:`3490` ``ToUnicode``.
+
+    Delegates to :func:`idna.decode` (IDNA 2008). Provided to ease porting
+    of code written against the legacy :mod:`encodings.idna` API; new code
+    should call :func:`idna.decode` directly.
+
+    :param label: The label or domain to decode.
+    :returns: The decoded Unicode form.
+    """
+    return decode(label)
+
+
+def nameprep(s: Any) -> None:
+    """Stub for :rfc:`3491` Nameprep, which is not used by IDNA 2008.
+
+    IDNA 2008 (:rfc:`5891`) replaces Nameprep with the per-codepoint
+    validity classes from :rfc:`5892`; this function exists only to
+    return a clear error if legacy code attempts to call it.
+
+    :raises NotImplementedError: Always.
+    """
+    raise NotImplementedError("IDNA 2008 does not utilise nameprep protocol")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/core.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/core.py
new file mode 100644
index 0000000000000000000000000000000000000000..1ccbd1f3356e4b9f2aeb36b00fd5591d85459464
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/core.py
@@ -0,0 +1,648 @@
+import bisect
+import re
+import unicodedata
+import warnings
+from typing import Optional, Union
+
+from . import idnadata
+from .intranges import intranges_contain
+
+_virama_combining_class = 9
+_alabel_prefix = b"xn--"
+_max_input_length = 1024
+_unicode_dots_re = re.compile("[\u002e\u3002\uff0e\uff61]")
+
+
+# Bidi category sets from RFC 5893, hoisted out of the per-codepoint loop
+_bidi_rtl_first = frozenset({"R", "AL"})
+_bidi_rtl_categories = frozenset({"R", "AL", "AN"})
+_bidi_rtl_allowed = frozenset({"R", "AL", "AN", "EN", "ES", "CS", "ET", "ON", "BN", "NSM"})
+_bidi_rtl_valid_ending = frozenset({"R", "AL", "EN", "AN"})
+_bidi_rtl_numeric = frozenset({"AN", "EN"})
+_bidi_ltr_allowed = frozenset({"L", "EN", "ES", "CS", "ET", "ON", "BN", "NSM"})
+_bidi_ltr_valid_ending = frozenset({"L", "EN"})
+_bidi_joiner_l_or_d = frozenset({"L", "D"})
+_bidi_joiner_r_or_d = frozenset({"R", "D"})
+
+
+def _joining_type(cp: int) -> Optional[str]:
+    for jt, ranges in idnadata.joining_types.items():
+        if intranges_contain(cp, ranges):
+            return jt
+    return None
+
+
+class IDNAError(UnicodeError):
+    """Base exception for all IDNA-encoding related problems"""
+
+
+class IDNABidiError(IDNAError):
+    """Exception when bidirectional requirements are not satisfied"""
+
+
+class InvalidCodepoint(IDNAError):
+    """Exception when a disallowed or unallocated codepoint is used"""
+
+
+class InvalidCodepointContext(IDNAError):
+    """Exception when the codepoint is not valid in the context it is used"""
+
+
+def _combining_class(cp: int) -> int:
+    v = unicodedata.combining(chr(cp))
+    if v == 0 and not unicodedata.name(chr(cp)):
+        raise ValueError("Unknown character in unicodedata")
+    return v
+
+
+def _is_script(cp: str, script: str) -> bool:
+    return intranges_contain(ord(cp), idnadata.scripts[script])
+
+
+def _punycode(s: str) -> bytes:
+    return s.encode("punycode")
+
+
+def _unot(s: int) -> str:
+    return f"U+{s:04X}"
+
+
+def valid_label_length(label: Union[bytes, str]) -> bool:
+    """Check that a label does not exceed the maximum permitted length.
+
+    Per :rfc:`1035` (and :rfc:`5891` §4.2.4) a DNS label must not exceed
+    63 octets. The argument may be either a :class:`str` (a U-label, where
+    length is measured in characters) or :class:`bytes` (an A-label, where
+    length is measured in octets).
+
+    :param label: The label to check.
+    :returns: ``True`` if the label is within the length limit, otherwise
+        ``False``.
+    """
+    return len(label) <= 63
+
+
+def valid_string_length(domain: Union[bytes, str], trailing_dot: bool) -> bool:
+    """Check that a full domain name does not exceed the maximum length.
+
+    Per :rfc:`1035`, a domain name is limited to 253 octets when no trailing
+    dot is present, or 254 octets when one is included.
+
+    :param domain: The full (possibly multi-label) domain name.
+    :param trailing_dot: ``True`` if ``domain`` includes a trailing ``.``.
+    :returns: ``True`` if the domain is within the length limit, otherwise
+        ``False``.
+    """
+    return len(domain) <= (254 if trailing_dot else 253)
+
+
+def check_bidi(label: str, check_ltr: bool = False) -> bool:
+    """Validate the Bidi Rule from :rfc:`5893` for a single label.
+
+    The Bidi Rule constrains how bidirectional characters (Hebrew, Arabic,
+    etc.) may appear within a label. By default the check is only applied
+    when the label contains at least one right-to-left character (Unicode
+    bidirectional categories ``R``, ``AL``, or ``AN``); set ``check_ltr``
+    to ``True`` to apply it to LTR-only labels as well.
+
+    :param label: The label to validate, as a Unicode string.
+    :param check_ltr: If ``True``, apply the rules even when the label
+        contains no RTL characters.
+    :returns: ``True`` if the label satisfies the Bidi Rule.
+    :raises IDNABidiError: If any of Bidi Rule conditions 1-6 are violated,
+        or if the directional category of a codepoint cannot be determined.
+    """
+    if len(label) > _max_input_length:
+        raise IDNAError("Label too long")
+    # Bidi rules should only be applied if string contains RTL characters
+    bidi_label = False
+    for idx, cp in enumerate(label, 1):
+        direction = unicodedata.bidirectional(cp)
+        if direction == "":
+            # String likely comes from a newer version of Unicode
+            raise IDNABidiError(f"Unknown directionality in label {label!r} at position {idx}")
+        if direction in _bidi_rtl_categories:
+            bidi_label = True
+    if not bidi_label and not check_ltr:
+        return True
+
+    # Bidi rule 1
+    direction = unicodedata.bidirectional(label[0])
+    if direction in _bidi_rtl_first:
+        rtl = True
+    elif direction == "L":
+        rtl = False
+    else:
+        raise IDNABidiError(f"First codepoint in label {label!r} must be directionality L, R or AL")
+
+    valid_ending = False
+    number_type: Optional[str] = None
+    for idx, cp in enumerate(label, 1):
+        direction = unicodedata.bidirectional(cp)
+
+        if rtl:
+            # Bidi rule 2
+            if direction not in _bidi_rtl_allowed:
+                raise IDNABidiError(f"Invalid direction for codepoint at position {idx} in a right-to-left label")
+            # Bidi rule 3
+            if direction in _bidi_rtl_valid_ending:
+                valid_ending = True
+            elif direction != "NSM":
+                valid_ending = False
+            # Bidi rule 4
+            if direction in _bidi_rtl_numeric:
+                if not number_type:
+                    number_type = direction
+                elif number_type != direction:
+                    raise IDNABidiError("Can not mix numeral types in a right-to-left label")
+        else:
+            # Bidi rule 5
+            if direction not in _bidi_ltr_allowed:
+                raise IDNABidiError(f"Invalid direction for codepoint at position {idx} in a left-to-right label")
+            # Bidi rule 6
+            if direction in _bidi_ltr_valid_ending:
+                valid_ending = True
+            elif direction != "NSM":
+                valid_ending = False
+
+    if not valid_ending:
+        raise IDNABidiError("Label ends with illegal codepoint directionality")
+
+    return True
+
+
+def check_initial_combiner(label: str) -> bool:
+    """Reject labels that begin with a combining mark.
+
+    Per :rfc:`5891` §4.2.3.2 a label must not start with a character of
+    Unicode general category ``M`` (Mark).
+
+    :param label: The label to check.
+    :returns: ``True`` if the first character is not a combining mark.
+    :raises IDNAError: If the label begins with a combining character.
+    """
+    if unicodedata.category(label[0])[0] == "M":
+        raise IDNAError("Label begins with an illegal combining character")
+    return True
+
+
+def check_hyphen_ok(label: str) -> bool:
+    """Validate the hyphen restrictions for a label.
+
+    Per :rfc:`5891` §4.2.3.1 a label must not start or end with a hyphen
+    (``U+002D``), and must not have hyphens in both the third and fourth
+    positions (the prefix reserved for A-labels).
+
+    :param label: The label to check.
+    :returns: ``True`` if the hyphen restrictions are satisfied.
+    :raises IDNAError: If any of the hyphen restrictions are violated.
+    """
+    if label[2:4] == "--":
+        raise IDNAError("Label has disallowed hyphens in 3rd and 4th position")
+    if label[0] == "-" or label[-1] == "-":
+        raise IDNAError("Label must not start or end with a hyphen")
+    return True
+
+
+def check_nfc(label: str) -> None:
+    """Require that a label is in Unicode Normalization Form C.
+
+    :param label: The label to check.
+    :raises IDNAError: If ``label`` differs from its NFC normalisation.
+    """
+    if len(label) > _max_input_length:
+        raise IDNAError("Label too long")
+    if unicodedata.normalize("NFC", label) != label:
+        raise IDNAError("Label must be in Normalization Form C")
+
+
+def valid_contextj(label: str, pos: int) -> bool:
+    """Validate the CONTEXTJ rules from :rfc:`5892` Appendix A.
+
+    These rules govern the contextual use of the joiner codepoints
+    ``U+200C`` (ZERO WIDTH NON-JOINER, Appendix A.1) and ``U+200D``
+    (ZERO WIDTH JOINER, Appendix A.2) within a label.
+
+    :param label: The label containing the codepoint.
+    :param pos: Index of the joiner codepoint within ``label``.
+    :returns: ``True`` if the codepoint at ``pos`` satisfies its CONTEXTJ
+        rule, ``False`` otherwise (including when the codepoint at
+        ``pos`` is not a recognised joiner).
+    :raises ValueError: If an adjacent codepoint has no Unicode name when
+        determining its combining class.
+    :raises IDNAError: If ``label`` exceeds the defensive input length limit.
+    """
+    if len(label) > _max_input_length:
+        raise IDNAError("Label too long")
+    cp_value = ord(label[pos])
+
+    if cp_value == 0x200C:
+        if pos > 0 and _combining_class(ord(label[pos - 1])) == _virama_combining_class:
+            return True
+
+        ok = False
+        for i in range(pos - 1, -1, -1):
+            joining_type = _joining_type(ord(label[i]))
+            if joining_type == "T":
+                continue
+            if joining_type in _bidi_joiner_l_or_d:
+                ok = True
+                break
+            break
+
+        if not ok:
+            return False
+
+        ok = False
+        for i in range(pos + 1, len(label)):
+            joining_type = _joining_type(ord(label[i]))
+            if joining_type == "T":
+                continue
+            if joining_type in _bidi_joiner_r_or_d:
+                ok = True
+                break
+            break
+        return ok
+
+    if cp_value == 0x200D:
+        return pos > 0 and _combining_class(ord(label[pos - 1])) == _virama_combining_class
+
+    return False
+
+
+def valid_contexto(label: str, pos: int, exception: bool = False) -> bool:
+    """Validate the CONTEXTO rules from :rfc:`5892` Appendix A.
+
+    Covers the contextual rules for codepoints such as MIDDLE DOT
+    (``U+00B7``), Greek lower numeral sign, Hebrew punctuation, Katakana
+    middle dot, and the Arabic-Indic / Extended Arabic-Indic digit ranges.
+
+    :param label: The label containing the codepoint.
+    :param pos: Index of the codepoint within ``label``.
+    :param exception: Reserved for forward compatibility; currently unused.
+    :returns: ``True`` if the codepoint at ``pos`` satisfies its CONTEXTO
+        rule, ``False`` otherwise (including when the codepoint is not a
+        recognised CONTEXTO codepoint).
+    :raises IDNAError: If ``label`` exceeds the defensive input length limit.
+    """
+    if len(label) > _max_input_length:
+        raise IDNAError("Label too long")
+    cp_value = ord(label[pos])
+
+    if cp_value == 0x00B7:
+        return 0 < pos < len(label) - 1 and ord(label[pos - 1]) == 0x006C and ord(label[pos + 1]) == 0x006C
+
+    if cp_value == 0x0375:
+        if pos < len(label) - 1 and len(label) > 1:
+            return _is_script(label[pos + 1], "Greek")
+        return False
+
+    if cp_value in {0x05F3, 0x05F4}:
+        if pos > 0:
+            return _is_script(label[pos - 1], "Hebrew")
+        return False
+
+    if cp_value == 0x30FB:
+        for cp in label:
+            if cp == "\u30fb":
+                continue
+            if _is_script(cp, "Hiragana") or _is_script(cp, "Katakana") or _is_script(cp, "Han"):
+                return True
+        return False
+
+    if 0x660 <= cp_value <= 0x669:
+        return not any(0x6F0 <= ord(cp) <= 0x06F9 for cp in label)
+
+    if 0x6F0 <= cp_value <= 0x6F9:
+        return not any(0x660 <= ord(cp) <= 0x0669 for cp in label)
+
+    return False
+
+
+def check_label(label: Union[str, bytes, bytearray]) -> None:
+    """Run the full set of IDNA 2008 validity checks on a single label.
+
+    Applies, in order: NFC normalisation (:func:`check_nfc`), hyphen
+    restrictions (:func:`check_hyphen_ok`), the no-leading-combiner rule
+    (:func:`check_initial_combiner`), per-codepoint validity (PVALID,
+    CONTEXTJ, CONTEXTO classes from :rfc:`5892`), and the Bidi Rule
+    (:func:`check_bidi`).
+
+    :param label: The label to validate. ``bytes`` or ``bytearray`` input
+        is decoded as UTF-8 first.
+    :raises IDNAError: If the label is empty or fails a structural rule.
+    :raises InvalidCodepoint: If the label contains a DISALLOWED or
+        UNASSIGNED codepoint.
+    :raises InvalidCodepointContext: If a CONTEXTJ or CONTEXTO codepoint
+        is not valid in its context.
+    :raises IDNABidiError: If the Bidi Rule is violated.
+    """
+    if len(label) > _max_input_length:
+        raise IDNAError("Label too long")
+    if isinstance(label, (bytes, bytearray)):
+        label = label.decode("utf-8")
+    if len(label) == 0:
+        raise IDNAError("Empty Label")
+
+    # Reject on domain length rather than label length so support some UTS 46
+    # use cases, still reducing processing of label contextual rules
+    if not valid_string_length(label, trailing_dot=True):
+        raise IDNAError("Label too long")
+
+    check_nfc(label)
+    check_hyphen_ok(label)
+    check_initial_combiner(label)
+
+    for pos, cp in enumerate(label):
+        cp_value = ord(cp)
+        if intranges_contain(cp_value, idnadata.codepoint_classes["PVALID"]):
+            continue
+        if intranges_contain(cp_value, idnadata.codepoint_classes["CONTEXTJ"]):
+            try:
+                if not valid_contextj(label, pos):
+                    raise InvalidCodepointContext(f"Joiner {_unot(cp_value)} not allowed at position {pos + 1} in {label!r}")
+            except ValueError as err:
+                raise IDNAError(
+                    f"Unknown codepoint adjacent to joiner {_unot(cp_value)} at position {pos + 1} in {label!r}"
+                ) from err
+        elif intranges_contain(cp_value, idnadata.codepoint_classes["CONTEXTO"]):
+            if not valid_contexto(label, pos):
+                raise InvalidCodepointContext(f"Codepoint {_unot(cp_value)} not allowed at position {pos + 1} in {label!r}")
+        else:
+            raise InvalidCodepoint(f"Codepoint {_unot(cp_value)} at position {pos + 1} of {label!r} not allowed")
+
+    check_bidi(label)
+
+
+def alabel(label: str) -> bytes:
+    """Convert a single U-label into its A-label form.
+
+    The result is the ASCII-Compatible Encoding (ACE) form per :rfc:`5891`
+    §4: the label is validated, Punycode-encoded, and prefixed with
+    ``xn--``. Pure ASCII labels that are already valid IDNA labels are
+    returned unchanged (as :class:`bytes`).
+
+    :param label: The label to convert, as a Unicode string.
+    :returns: The A-label as ASCII-encoded :class:`bytes`.
+    :raises IDNAError: If the label is invalid or the resulting A-label
+        exceeds 63 octets.
+    """
+    if len(label) > _max_input_length:
+        raise IDNAError("Label too long")
+    try:
+        label_bytes = label.encode("ascii")
+    except UnicodeEncodeError:
+        pass
+    else:
+        ulabel(label_bytes)
+        if not valid_label_length(label_bytes):
+            raise IDNAError("Label too long")
+        return label_bytes
+
+    check_label(label)
+    label_bytes = _alabel_prefix + _punycode(label)
+
+    if not valid_label_length(label_bytes):
+        raise IDNAError("Label too long")
+
+    return label_bytes
+
+
+def ulabel(label: Union[str, bytes, bytearray]) -> str:
+    """Convert a single A-label into its U-label form.
+
+    Performs the inverse of :func:`alabel`: an ``xn--``-prefixed label is
+    Punycode-decoded and validated. Labels that are already Unicode (or
+    plain ASCII without the ACE prefix) are validated and returned as a
+    Unicode string.
+
+    :param label: The label to convert. ``bytes`` or ``bytearray`` input
+        is treated as ASCII.
+    :returns: The U-label as a Unicode string.
+    :raises IDNAError: If the label is malformed or fails validation.
+    """
+    if len(label) > _max_input_length:
+        raise IDNAError("Label too long")
+    if not isinstance(label, (bytes, bytearray)):
+        try:
+            label_bytes = label.encode("ascii")
+        except UnicodeEncodeError:
+            check_label(label)
+            return label
+    else:
+        label_bytes = bytes(label)
+
+    label_bytes = label_bytes.lower()
+    if label_bytes.startswith(_alabel_prefix):
+        label_bytes = label_bytes[len(_alabel_prefix) :]
+        if not label_bytes:
+            raise IDNAError("Malformed A-label, no Punycode eligible content found")
+        if label_bytes.endswith(b"-"):
+            raise IDNAError("A-label must not end with a hyphen")
+    else:
+        check_label(label_bytes)
+        return label_bytes.decode("ascii")
+
+    try:
+        label = label_bytes.decode("punycode")
+    except UnicodeError as err:
+        raise IDNAError("Invalid A-label") from err
+    check_label(label)
+    return label
+
+
+def uts46_remap(domain: str, std3_rules: bool = True, transitional: bool = False) -> str:
+    """Apply the UTS #46 character mapping to a domain string.
+
+    Implements the mapping table from `UTS #46 §4
+    `_: each character is kept,
+    replaced, or rejected based on its status (``V``, ``M``, ``D``, ``3``,
+    ``I``). The result is returned in Normalisation Form C.
+
+    :param domain: The full domain name to remap.
+    :param std3_rules: If ``True``, apply the stricter STD3 ASCII rules
+        (status ``3`` codepoints raise instead of being kept or mapped).
+    :param transitional: If ``True``, use transitional processing (status
+        ``D`` codepoints are mapped instead of kept). Transitional
+        processing has been removed from UTS #46 and this option is
+        retained only for backwards compatibility.
+    :returns: The remapped domain, in Normalisation Form C.
+    :raises InvalidCodepoint: If the domain contains a disallowed
+        codepoint under the chosen rules.
+    :raises IDNAError: If ``domain`` exceeds the defensive input length limit.
+    """
+    if len(domain) > _max_input_length:
+        raise IDNAError("Domain too long")
+    from .uts46data import uts46_replacements, uts46_starts, uts46_statuses
+
+    output = ""
+
+    for pos, char in enumerate(domain):
+        code_point = ord(char)
+        i = code_point if code_point < 256 else bisect.bisect_right(uts46_starts, code_point) - 1
+        status = chr(uts46_statuses[i])
+        replacement: Optional[str] = uts46_replacements[i]
+
+        # UTS #46 §4: V is always valid, D is deviation (kept unless transitional),
+        # 3 is disallowed-STD3 (kept unmapped if std3_rules is off and no mapping).
+        keep_as_is = (
+            status == "V" or (status == "D" and not transitional) or (status == "3" and not std3_rules and replacement is None)
+        )
+        # M is mapped, 3-with-replacement and transitional D fall through to the
+        # same replacement output path.
+        use_replacement = replacement is not None and (
+            status == "M" or (status == "3" and not std3_rules) or (status == "D" and transitional)
+        )
+
+        if keep_as_is:
+            output += char
+        elif use_replacement:
+            assert replacement is not None  # narrowed by use_replacement
+            output += replacement
+        elif status == "I":
+            continue
+        else:
+            raise InvalidCodepoint(f"Codepoint {_unot(code_point)} not allowed at position {pos + 1} in {domain!r}")
+
+    return unicodedata.normalize("NFC", output)
+
+
+def encode(
+    s: Union[str, bytes, bytearray],
+    strict: bool = False,
+    uts46: bool = False,
+    std3_rules: bool = False,
+    transitional: bool = False,
+) -> bytes:
+    """Encode a Unicode domain name into its ASCII (A-label) form.
+
+    Splits the input on label separators (only ``U+002E`` if ``strict`` is
+    set; otherwise also IDEOGRAPHIC FULL STOP ``U+3002``, FULLWIDTH FULL
+    STOP ``U+FF0E``, and HALFWIDTH IDEOGRAPHIC FULL STOP ``U+FF61``),
+    encodes each label with :func:`alabel`, and rejoins them with ``.``.
+    Optionally pre-processes the input through :func:`uts46_remap`.
+
+    :param s: The domain name to encode.
+    :param strict: If ``True``, only ``U+002E`` is recognised as a label
+        separator.
+    :param uts46: If ``True``, apply UTS #46 mapping before encoding.
+    :param std3_rules: Forwarded to :func:`uts46_remap` when ``uts46`` is
+        ``True``.
+    :param transitional: Forwarded to :func:`uts46_remap` when ``uts46``
+        is ``True``. Deprecated: emits a :class:`DeprecationWarning` and
+        will be removed in a future version.
+    :returns: The encoded domain as ASCII :class:`bytes`.
+    :raises IDNAError: If the domain is empty, contains an invalid label,
+        or exceeds the maximum domain length.
+    """
+    if transitional:
+        warnings.warn(
+            "Transitional processing has been removed from UTS #46. "
+            "The transitional argument will be removed in a future version.",
+            DeprecationWarning,
+            stacklevel=2,
+        )
+    if not isinstance(s, str):
+        try:
+            s = str(s, "ascii")
+        except (UnicodeDecodeError, TypeError) as err:
+            raise IDNAError("should pass a unicode string to the function rather than a byte string.") from err
+    if len(s) > _max_input_length:
+        raise IDNAError("Domain too long")
+    if uts46:
+        s = uts46_remap(s, std3_rules, transitional)
+
+    # Reject inputs that exceed the maximum DNS domain length up-front
+    # to avoid expensive computation on long inputs.
+    if not valid_string_length(s, trailing_dot=True):
+        raise IDNAError("Domain too long")
+
+    trailing_dot = False
+    result = []
+    labels = s.split(".") if strict else _unicode_dots_re.split(s)
+    if not labels or labels == [""]:
+        raise IDNAError("Empty domain")
+    if labels[-1] == "":
+        del labels[-1]
+        trailing_dot = True
+    for label in labels:
+        s = alabel(label)
+        if s:
+            result.append(s)
+        else:
+            raise IDNAError("Empty label")
+    if trailing_dot:
+        result.append(b"")
+    s = b".".join(result)
+    if not valid_string_length(s, trailing_dot):
+        raise IDNAError("Domain too long")
+    return s
+
+
+def decode(
+    s: Union[str, bytes, bytearray],
+    strict: bool = False,
+    uts46: bool = False,
+    std3_rules: bool = False,
+    display: bool = False,
+) -> str:
+    """Decode an A-label-encoded domain name back to Unicode.
+
+    Splits the input on label separators (see :func:`encode` for the
+    rules), decodes each label with :func:`ulabel`, and rejoins them
+    with ``.``. Optionally pre-processes the input through
+    :func:`uts46_remap`.
+
+    :param s: The domain name to decode.
+    :param strict: If ``True``, only ``U+002E`` is recognised as a label
+        separator.
+    :param uts46: If ``True``, apply UTS #46 mapping before decoding.
+    :param std3_rules: Forwarded to :func:`uts46_remap` when ``uts46`` is
+        ``True``.
+    :param display: If ``True``, any ``xn--`` label that fails IDNA
+        validation is passed through unchanged (lowercased) rather than
+        aborting the whole call. Intended for "decode for display"
+        consumers (e.g. URL libraries, HTTP clients) that want to show
+        the user the label as it appears on the wire when it cannot be
+        rendered as Unicode. Matches the per-label recovery prescribed
+        by UTS #46 §4 and the WHATWG URL "domain to Unicode" algorithm.
+    :returns: The decoded domain as a Unicode string.
+    :raises IDNAError: If the input is not valid ASCII, contains an
+        invalid label, or is empty.
+    """
+    if not isinstance(s, str):
+        try:
+            s = str(s, "ascii")
+        except (UnicodeDecodeError, TypeError) as err:
+            raise IDNAError("Invalid ASCII in A-label") from err
+    if len(s) > _max_input_length:
+        raise IDNAError("Domain too long")
+    if uts46:
+        s = uts46_remap(s, std3_rules, False)
+    # Reject inputs that exceed the maximum DNS domain length up-front
+    # to avoid expensive computation on long inputs.
+    if not valid_string_length(s, trailing_dot=True):
+        raise IDNAError("Domain too long")
+    trailing_dot = False
+    result = []
+    labels = s.split(".") if strict else _unicode_dots_re.split(s)
+    if not labels or labels == [""]:
+        raise IDNAError("Empty domain")
+    if not labels[-1]:
+        del labels[-1]
+        trailing_dot = True
+    for label in labels:
+        try:
+            u = ulabel(label)
+        except IDNAError:
+            if display and label[:4].lower() == "xn--":
+                u = label.lower()
+            else:
+                raise
+        if u:
+            result.append(u)
+        else:
+            raise IDNAError("Empty label")
+    if trailing_dot:
+        result.append("")
+    return ".".join(result)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/idnadata.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/idnadata.py
new file mode 100644
index 0000000000000000000000000000000000000000..f2ab38897bf1f8fc6f0db50f237edec68ca89295
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/idnadata.py
@@ -0,0 +1,1897 @@
+# This file is automatically generated by tools/idna-data
+
+__version__ = "17.0.0"
+
+scripts = {
+    "Greek": (
+        0x37000000374,
+        0x37500000378,
+        0x37A0000037E,
+        0x37F00000380,
+        0x38400000385,
+        0x38600000387,
+        0x3880000038B,
+        0x38C0000038D,
+        0x38E000003A2,
+        0x3A3000003E2,
+        0x3F000000400,
+        0x1D2600001D2B,
+        0x1D5D00001D62,
+        0x1D6600001D6B,
+        0x1DBF00001DC0,
+        0x1F0000001F16,
+        0x1F1800001F1E,
+        0x1F2000001F46,
+        0x1F4800001F4E,
+        0x1F5000001F58,
+        0x1F5900001F5A,
+        0x1F5B00001F5C,
+        0x1F5D00001F5E,
+        0x1F5F00001F7E,
+        0x1F8000001FB5,
+        0x1FB600001FC5,
+        0x1FC600001FD4,
+        0x1FD600001FDC,
+        0x1FDD00001FF0,
+        0x1FF200001FF5,
+        0x1FF600001FFF,
+        0x212600002127,
+        0xAB650000AB66,
+        0x101400001018F,
+        0x101A0000101A1,
+        0x1D2000001D246,
+    ),
+    "Han": (
+        0x2E8000002E9A,
+        0x2E9B00002EF4,
+        0x2F0000002FD6,
+        0x300500003006,
+        0x300700003008,
+        0x30210000302A,
+        0x30380000303C,
+        0x340000004DC0,
+        0x4E000000A000,
+        0xF9000000FA6E,
+        0xFA700000FADA,
+        0x16FE200016FE4,
+        0x16FF000016FF7,
+        0x200000002A6E0,
+        0x2A7000002B81E,
+        0x2B8200002CEAE,
+        0x2CEB00002EBE1,
+        0x2EBF00002EE5E,
+        0x2F8000002FA1E,
+        0x300000003134B,
+        0x313500003347A,
+    ),
+    "Hebrew": (
+        0x591000005C8,
+        0x5D0000005EB,
+        0x5EF000005F5,
+        0xFB1D0000FB37,
+        0xFB380000FB3D,
+        0xFB3E0000FB3F,
+        0xFB400000FB42,
+        0xFB430000FB45,
+        0xFB460000FB50,
+    ),
+    "Hiragana": (
+        0x304100003097,
+        0x309D000030A0,
+        0x1B0010001B120,
+        0x1B1320001B133,
+        0x1B1500001B153,
+        0x1F2000001F201,
+    ),
+    "Katakana": (
+        0x30A1000030FB,
+        0x30FD00003100,
+        0x31F000003200,
+        0x32D0000032FF,
+        0x330000003358,
+        0xFF660000FF70,
+        0xFF710000FF9E,
+        0x1AFF00001AFF4,
+        0x1AFF50001AFFC,
+        0x1AFFD0001AFFF,
+        0x1B0000001B001,
+        0x1B1200001B123,
+        0x1B1550001B156,
+        0x1B1640001B168,
+    ),
+}
+
+
+joining_types = {
+    "C": (
+        0x64000000641,
+        0x7FA000007FB,
+        0x88300000886,
+        0x180A0000180B,
+        0x200D0000200E,
+    ),
+    "D": (
+        0x62000000621,
+        0x62600000627,
+        0x62800000629,
+        0x62A0000062F,
+        0x63300000640,
+        0x64100000648,
+        0x6490000064B,
+        0x66E00000670,
+        0x67800000688,
+        0x69A000006C0,
+        0x6C1000006C3,
+        0x6CC000006CD,
+        0x6CE000006CF,
+        0x6D0000006D2,
+        0x6FA000006FD,
+        0x6FF00000700,
+        0x71200000715,
+        0x71A0000071E,
+        0x71F00000728,
+        0x7290000072A,
+        0x72B0000072C,
+        0x72D0000072F,
+        0x74E00000759,
+        0x75C0000076B,
+        0x76D00000771,
+        0x77200000773,
+        0x77500000778,
+        0x77A00000780,
+        0x7CA000007EB,
+        0x84100000846,
+        0x84800000849,
+        0x84A00000854,
+        0x85500000856,
+        0x86000000861,
+        0x86200000866,
+        0x86800000869,
+        0x88600000887,
+        0x8890000088E,
+        0x88F00000890,
+        0x8A0000008AA,
+        0x8AF000008B1,
+        0x8B3000008B9,
+        0x8BA000008C9,
+        0x180700001808,
+        0x182000001879,
+        0x1887000018A9,
+        0x18AA000018AB,
+        0xA8400000A872,
+        0x10AC000010AC5,
+        0x10AD300010AD7,
+        0x10AD800010ADD,
+        0x10ADE00010AE1,
+        0x10AEB00010AEF,
+        0x10B8000010B81,
+        0x10B8200010B83,
+        0x10B8600010B89,
+        0x10B8A00010B8C,
+        0x10B8D00010B8E,
+        0x10B9000010B91,
+        0x10BAD00010BAF,
+        0x10D0100010D22,
+        0x10D2300010D24,
+        0x10EC300010EC5,
+        0x10EC600010EC8,
+        0x10F3000010F33,
+        0x10F3400010F45,
+        0x10F5100010F54,
+        0x10F7000010F74,
+        0x10F7600010F82,
+        0x10FB000010FB1,
+        0x10FB200010FB4,
+        0x10FB800010FB9,
+        0x10FBB00010FBD,
+        0x10FBE00010FC0,
+        0x10FC100010FC2,
+        0x10FC400010FC5,
+        0x10FCA00010FCB,
+        0x1E9000001E944,
+    ),
+    "L": (
+        0xA8720000A873,
+        0x10ACD00010ACE,
+        0x10AD700010AD8,
+        0x10D0000010D01,
+        0x10FCB00010FCC,
+    ),
+    "R": (
+        0x62200000626,
+        0x62700000628,
+        0x6290000062A,
+        0x62F00000633,
+        0x64800000649,
+        0x67100000674,
+        0x67500000678,
+        0x6880000069A,
+        0x6C0000006C1,
+        0x6C3000006CC,
+        0x6CD000006CE,
+        0x6CF000006D0,
+        0x6D2000006D4,
+        0x6D5000006D6,
+        0x6EE000006F0,
+        0x71000000711,
+        0x7150000071A,
+        0x71E0000071F,
+        0x72800000729,
+        0x72A0000072B,
+        0x72C0000072D,
+        0x72F00000730,
+        0x74D0000074E,
+        0x7590000075C,
+        0x76B0000076D,
+        0x77100000772,
+        0x77300000775,
+        0x7780000077A,
+        0x84000000841,
+        0x84600000848,
+        0x8490000084A,
+        0x85400000855,
+        0x85600000859,
+        0x86700000868,
+        0x8690000086B,
+        0x87000000883,
+        0x88E0000088F,
+        0x8AA000008AD,
+        0x8AE000008AF,
+        0x8B1000008B3,
+        0x8B9000008BA,
+        0x10AC500010AC6,
+        0x10AC700010AC8,
+        0x10AC900010ACB,
+        0x10ACE00010AD3,
+        0x10ADD00010ADE,
+        0x10AE100010AE2,
+        0x10AE400010AE5,
+        0x10AEF00010AF0,
+        0x10B8100010B82,
+        0x10B8300010B86,
+        0x10B8900010B8A,
+        0x10B8C00010B8D,
+        0x10B8E00010B90,
+        0x10B9100010B92,
+        0x10BA900010BAD,
+        0x10D2200010D23,
+        0x10EC200010EC3,
+        0x10F3300010F34,
+        0x10F5400010F55,
+        0x10F7400010F76,
+        0x10FB400010FB7,
+        0x10FB900010FBB,
+        0x10FBD00010FBE,
+        0x10FC200010FC4,
+        0x10FC900010FCA,
+    ),
+    "T": (
+        0xAD000000AE,
+        0x30000000370,
+        0x4830000048A,
+        0x591000005BE,
+        0x5BF000005C0,
+        0x5C1000005C3,
+        0x5C4000005C6,
+        0x5C7000005C8,
+        0x6100000061B,
+        0x61C0000061D,
+        0x64B00000660,
+        0x67000000671,
+        0x6D6000006DD,
+        0x6DF000006E5,
+        0x6E7000006E9,
+        0x6EA000006EE,
+        0x70F00000710,
+        0x71100000712,
+        0x7300000074B,
+        0x7A6000007B1,
+        0x7EB000007F4,
+        0x7FD000007FE,
+        0x8160000081A,
+        0x81B00000824,
+        0x82500000828,
+        0x8290000082E,
+        0x8590000085C,
+        0x897000008A0,
+        0x8CA000008E2,
+        0x8E300000903,
+        0x93A0000093B,
+        0x93C0000093D,
+        0x94100000949,
+        0x94D0000094E,
+        0x95100000958,
+        0x96200000964,
+        0x98100000982,
+        0x9BC000009BD,
+        0x9C1000009C5,
+        0x9CD000009CE,
+        0x9E2000009E4,
+        0x9FE000009FF,
+        0xA0100000A03,
+        0xA3C00000A3D,
+        0xA4100000A43,
+        0xA4700000A49,
+        0xA4B00000A4E,
+        0xA5100000A52,
+        0xA7000000A72,
+        0xA7500000A76,
+        0xA8100000A83,
+        0xABC00000ABD,
+        0xAC100000AC6,
+        0xAC700000AC9,
+        0xACD00000ACE,
+        0xAE200000AE4,
+        0xAFA00000B00,
+        0xB0100000B02,
+        0xB3C00000B3D,
+        0xB3F00000B40,
+        0xB4100000B45,
+        0xB4D00000B4E,
+        0xB5500000B57,
+        0xB6200000B64,
+        0xB8200000B83,
+        0xBC000000BC1,
+        0xBCD00000BCE,
+        0xC0000000C01,
+        0xC0400000C05,
+        0xC3C00000C3D,
+        0xC3E00000C41,
+        0xC4600000C49,
+        0xC4A00000C4E,
+        0xC5500000C57,
+        0xC6200000C64,
+        0xC8100000C82,
+        0xCBC00000CBD,
+        0xCBF00000CC0,
+        0xCC600000CC7,
+        0xCCC00000CCE,
+        0xCE200000CE4,
+        0xD0000000D02,
+        0xD3B00000D3D,
+        0xD4100000D45,
+        0xD4D00000D4E,
+        0xD6200000D64,
+        0xD8100000D82,
+        0xDCA00000DCB,
+        0xDD200000DD5,
+        0xDD600000DD7,
+        0xE3100000E32,
+        0xE3400000E3B,
+        0xE4700000E4F,
+        0xEB100000EB2,
+        0xEB400000EBD,
+        0xEC800000ECF,
+        0xF1800000F1A,
+        0xF3500000F36,
+        0xF3700000F38,
+        0xF3900000F3A,
+        0xF7100000F7F,
+        0xF8000000F85,
+        0xF8600000F88,
+        0xF8D00000F98,
+        0xF9900000FBD,
+        0xFC600000FC7,
+        0x102D00001031,
+        0x103200001038,
+        0x10390000103B,
+        0x103D0000103F,
+        0x10580000105A,
+        0x105E00001061,
+        0x107100001075,
+        0x108200001083,
+        0x108500001087,
+        0x108D0000108E,
+        0x109D0000109E,
+        0x135D00001360,
+        0x171200001715,
+        0x173200001734,
+        0x175200001754,
+        0x177200001774,
+        0x17B4000017B6,
+        0x17B7000017BE,
+        0x17C6000017C7,
+        0x17C9000017D4,
+        0x17DD000017DE,
+        0x180B0000180E,
+        0x180F00001810,
+        0x188500001887,
+        0x18A9000018AA,
+        0x192000001923,
+        0x192700001929,
+        0x193200001933,
+        0x19390000193C,
+        0x1A1700001A19,
+        0x1A1B00001A1C,
+        0x1A5600001A57,
+        0x1A5800001A5F,
+        0x1A6000001A61,
+        0x1A6200001A63,
+        0x1A6500001A6D,
+        0x1A7300001A7D,
+        0x1A7F00001A80,
+        0x1AB000001ADE,
+        0x1AE000001AEC,
+        0x1B0000001B04,
+        0x1B3400001B35,
+        0x1B3600001B3B,
+        0x1B3C00001B3D,
+        0x1B4200001B43,
+        0x1B6B00001B74,
+        0x1B8000001B82,
+        0x1BA200001BA6,
+        0x1BA800001BAA,
+        0x1BAB00001BAE,
+        0x1BE600001BE7,
+        0x1BE800001BEA,
+        0x1BED00001BEE,
+        0x1BEF00001BF2,
+        0x1C2C00001C34,
+        0x1C3600001C38,
+        0x1CD000001CD3,
+        0x1CD400001CE1,
+        0x1CE200001CE9,
+        0x1CED00001CEE,
+        0x1CF400001CF5,
+        0x1CF800001CFA,
+        0x1DC000001E00,
+        0x200B0000200C,
+        0x200E00002010,
+        0x202A0000202F,
+        0x206000002065,
+        0x206A00002070,
+        0x20D0000020F1,
+        0x2CEF00002CF2,
+        0x2D7F00002D80,
+        0x2DE000002E00,
+        0x302A0000302E,
+        0x30990000309B,
+        0xA66F0000A673,
+        0xA6740000A67E,
+        0xA69E0000A6A0,
+        0xA6F00000A6F2,
+        0xA8020000A803,
+        0xA8060000A807,
+        0xA80B0000A80C,
+        0xA8250000A827,
+        0xA82C0000A82D,
+        0xA8C40000A8C6,
+        0xA8E00000A8F2,
+        0xA8FF0000A900,
+        0xA9260000A92E,
+        0xA9470000A952,
+        0xA9800000A983,
+        0xA9B30000A9B4,
+        0xA9B60000A9BA,
+        0xA9BC0000A9BE,
+        0xA9E50000A9E6,
+        0xAA290000AA2F,
+        0xAA310000AA33,
+        0xAA350000AA37,
+        0xAA430000AA44,
+        0xAA4C0000AA4D,
+        0xAA7C0000AA7D,
+        0xAAB00000AAB1,
+        0xAAB20000AAB5,
+        0xAAB70000AAB9,
+        0xAABE0000AAC0,
+        0xAAC10000AAC2,
+        0xAAEC0000AAEE,
+        0xAAF60000AAF7,
+        0xABE50000ABE6,
+        0xABE80000ABE9,
+        0xABED0000ABEE,
+        0xFB1E0000FB1F,
+        0xFE000000FE10,
+        0xFE200000FE30,
+        0xFEFF0000FF00,
+        0xFFF90000FFFC,
+        0x101FD000101FE,
+        0x102E0000102E1,
+        0x103760001037B,
+        0x10A0100010A04,
+        0x10A0500010A07,
+        0x10A0C00010A10,
+        0x10A3800010A3B,
+        0x10A3F00010A40,
+        0x10AE500010AE7,
+        0x10D2400010D28,
+        0x10D6900010D6E,
+        0x10EAB00010EAD,
+        0x10EFA00010F00,
+        0x10F4600010F51,
+        0x10F8200010F86,
+        0x1100100011002,
+        0x1103800011047,
+        0x1107000011071,
+        0x1107300011075,
+        0x1107F00011082,
+        0x110B3000110B7,
+        0x110B9000110BB,
+        0x110C2000110C3,
+        0x1110000011103,
+        0x111270001112C,
+        0x1112D00011135,
+        0x1117300011174,
+        0x1118000011182,
+        0x111B6000111BF,
+        0x111C9000111CD,
+        0x111CF000111D0,
+        0x1122F00011232,
+        0x1123400011235,
+        0x1123600011238,
+        0x1123E0001123F,
+        0x1124100011242,
+        0x112DF000112E0,
+        0x112E3000112EB,
+        0x1130000011302,
+        0x1133B0001133D,
+        0x1134000011341,
+        0x113660001136D,
+        0x1137000011375,
+        0x113BB000113C1,
+        0x113CE000113CF,
+        0x113D0000113D1,
+        0x113D2000113D3,
+        0x113E1000113E3,
+        0x1143800011440,
+        0x1144200011445,
+        0x1144600011447,
+        0x1145E0001145F,
+        0x114B3000114B9,
+        0x114BA000114BB,
+        0x114BF000114C1,
+        0x114C2000114C4,
+        0x115B2000115B6,
+        0x115BC000115BE,
+        0x115BF000115C1,
+        0x115DC000115DE,
+        0x116330001163B,
+        0x1163D0001163E,
+        0x1163F00011641,
+        0x116AB000116AC,
+        0x116AD000116AE,
+        0x116B0000116B6,
+        0x116B7000116B8,
+        0x1171D0001171E,
+        0x1171F00011720,
+        0x1172200011726,
+        0x117270001172C,
+        0x1182F00011838,
+        0x118390001183B,
+        0x1193B0001193D,
+        0x1193E0001193F,
+        0x1194300011944,
+        0x119D4000119D8,
+        0x119DA000119DC,
+        0x119E0000119E1,
+        0x11A0100011A0B,
+        0x11A3300011A39,
+        0x11A3B00011A3F,
+        0x11A4700011A48,
+        0x11A5100011A57,
+        0x11A5900011A5C,
+        0x11A8A00011A97,
+        0x11A9800011A9A,
+        0x11B6000011B61,
+        0x11B6200011B65,
+        0x11B6600011B67,
+        0x11C3000011C37,
+        0x11C3800011C3E,
+        0x11C3F00011C40,
+        0x11C9200011CA8,
+        0x11CAA00011CB1,
+        0x11CB200011CB4,
+        0x11CB500011CB7,
+        0x11D3100011D37,
+        0x11D3A00011D3B,
+        0x11D3C00011D3E,
+        0x11D3F00011D46,
+        0x11D4700011D48,
+        0x11D9000011D92,
+        0x11D9500011D96,
+        0x11D9700011D98,
+        0x11EF300011EF5,
+        0x11F0000011F02,
+        0x11F3600011F3B,
+        0x11F4000011F41,
+        0x11F4200011F43,
+        0x11F5A00011F5B,
+        0x1343000013441,
+        0x1344700013456,
+        0x1611E0001612A,
+        0x1612D00016130,
+        0x16AF000016AF5,
+        0x16B3000016B37,
+        0x16F4F00016F50,
+        0x16F8F00016F93,
+        0x16FE400016FE5,
+        0x1BC9D0001BC9F,
+        0x1BCA00001BCA4,
+        0x1CF000001CF2E,
+        0x1CF300001CF47,
+        0x1D1670001D16A,
+        0x1D1730001D183,
+        0x1D1850001D18C,
+        0x1D1AA0001D1AE,
+        0x1D2420001D245,
+        0x1DA000001DA37,
+        0x1DA3B0001DA6D,
+        0x1DA750001DA76,
+        0x1DA840001DA85,
+        0x1DA9B0001DAA0,
+        0x1DAA10001DAB0,
+        0x1E0000001E007,
+        0x1E0080001E019,
+        0x1E01B0001E022,
+        0x1E0230001E025,
+        0x1E0260001E02B,
+        0x1E08F0001E090,
+        0x1E1300001E137,
+        0x1E2AE0001E2AF,
+        0x1E2EC0001E2F0,
+        0x1E4EC0001E4F0,
+        0x1E5EE0001E5F0,
+        0x1E6E30001E6E4,
+        0x1E6E60001E6E7,
+        0x1E6EE0001E6F0,
+        0x1E6F50001E6F6,
+        0x1E8D00001E8D7,
+        0x1E9440001E94C,
+        0xE0001000E0002,
+        0xE0020000E0080,
+        0xE0100000E01F0,
+    ),
+}
+
+
+codepoint_classes = {
+    "PVALID": (
+        0x2D0000002E,
+        0x300000003A,
+        0x610000007B,
+        0xDF000000F7,
+        0xF800000100,
+        0x10100000102,
+        0x10300000104,
+        0x10500000106,
+        0x10700000108,
+        0x1090000010A,
+        0x10B0000010C,
+        0x10D0000010E,
+        0x10F00000110,
+        0x11100000112,
+        0x11300000114,
+        0x11500000116,
+        0x11700000118,
+        0x1190000011A,
+        0x11B0000011C,
+        0x11D0000011E,
+        0x11F00000120,
+        0x12100000122,
+        0x12300000124,
+        0x12500000126,
+        0x12700000128,
+        0x1290000012A,
+        0x12B0000012C,
+        0x12D0000012E,
+        0x12F00000130,
+        0x13100000132,
+        0x13500000136,
+        0x13700000139,
+        0x13A0000013B,
+        0x13C0000013D,
+        0x13E0000013F,
+        0x14200000143,
+        0x14400000145,
+        0x14600000147,
+        0x14800000149,
+        0x14B0000014C,
+        0x14D0000014E,
+        0x14F00000150,
+        0x15100000152,
+        0x15300000154,
+        0x15500000156,
+        0x15700000158,
+        0x1590000015A,
+        0x15B0000015C,
+        0x15D0000015E,
+        0x15F00000160,
+        0x16100000162,
+        0x16300000164,
+        0x16500000166,
+        0x16700000168,
+        0x1690000016A,
+        0x16B0000016C,
+        0x16D0000016E,
+        0x16F00000170,
+        0x17100000172,
+        0x17300000174,
+        0x17500000176,
+        0x17700000178,
+        0x17A0000017B,
+        0x17C0000017D,
+        0x17E0000017F,
+        0x18000000181,
+        0x18300000184,
+        0x18500000186,
+        0x18800000189,
+        0x18C0000018E,
+        0x19200000193,
+        0x19500000196,
+        0x1990000019C,
+        0x19E0000019F,
+        0x1A1000001A2,
+        0x1A3000001A4,
+        0x1A5000001A6,
+        0x1A8000001A9,
+        0x1AA000001AC,
+        0x1AD000001AE,
+        0x1B0000001B1,
+        0x1B4000001B5,
+        0x1B6000001B7,
+        0x1B9000001BC,
+        0x1BD000001C4,
+        0x1CE000001CF,
+        0x1D0000001D1,
+        0x1D2000001D3,
+        0x1D4000001D5,
+        0x1D6000001D7,
+        0x1D8000001D9,
+        0x1DA000001DB,
+        0x1DC000001DE,
+        0x1DF000001E0,
+        0x1E1000001E2,
+        0x1E3000001E4,
+        0x1E5000001E6,
+        0x1E7000001E8,
+        0x1E9000001EA,
+        0x1EB000001EC,
+        0x1ED000001EE,
+        0x1EF000001F1,
+        0x1F5000001F6,
+        0x1F9000001FA,
+        0x1FB000001FC,
+        0x1FD000001FE,
+        0x1FF00000200,
+        0x20100000202,
+        0x20300000204,
+        0x20500000206,
+        0x20700000208,
+        0x2090000020A,
+        0x20B0000020C,
+        0x20D0000020E,
+        0x20F00000210,
+        0x21100000212,
+        0x21300000214,
+        0x21500000216,
+        0x21700000218,
+        0x2190000021A,
+        0x21B0000021C,
+        0x21D0000021E,
+        0x21F00000220,
+        0x22100000222,
+        0x22300000224,
+        0x22500000226,
+        0x22700000228,
+        0x2290000022A,
+        0x22B0000022C,
+        0x22D0000022E,
+        0x22F00000230,
+        0x23100000232,
+        0x2330000023A,
+        0x23C0000023D,
+        0x23F00000241,
+        0x24200000243,
+        0x24700000248,
+        0x2490000024A,
+        0x24B0000024C,
+        0x24D0000024E,
+        0x24F000002B0,
+        0x2B9000002C2,
+        0x2C6000002D2,
+        0x2EC000002ED,
+        0x2EE000002EF,
+        0x30000000340,
+        0x34200000343,
+        0x3460000034F,
+        0x35000000370,
+        0x37100000372,
+        0x37300000374,
+        0x37700000378,
+        0x37B0000037E,
+        0x39000000391,
+        0x3AC000003CF,
+        0x3D7000003D8,
+        0x3D9000003DA,
+        0x3DB000003DC,
+        0x3DD000003DE,
+        0x3DF000003E0,
+        0x3E1000003E2,
+        0x3E3000003E4,
+        0x3E5000003E6,
+        0x3E7000003E8,
+        0x3E9000003EA,
+        0x3EB000003EC,
+        0x3ED000003EE,
+        0x3EF000003F0,
+        0x3F3000003F4,
+        0x3F8000003F9,
+        0x3FB000003FD,
+        0x43000000460,
+        0x46100000462,
+        0x46300000464,
+        0x46500000466,
+        0x46700000468,
+        0x4690000046A,
+        0x46B0000046C,
+        0x46D0000046E,
+        0x46F00000470,
+        0x47100000472,
+        0x47300000474,
+        0x47500000476,
+        0x47700000478,
+        0x4790000047A,
+        0x47B0000047C,
+        0x47D0000047E,
+        0x47F00000480,
+        0x48100000482,
+        0x48300000488,
+        0x48B0000048C,
+        0x48D0000048E,
+        0x48F00000490,
+        0x49100000492,
+        0x49300000494,
+        0x49500000496,
+        0x49700000498,
+        0x4990000049A,
+        0x49B0000049C,
+        0x49D0000049E,
+        0x49F000004A0,
+        0x4A1000004A2,
+        0x4A3000004A4,
+        0x4A5000004A6,
+        0x4A7000004A8,
+        0x4A9000004AA,
+        0x4AB000004AC,
+        0x4AD000004AE,
+        0x4AF000004B0,
+        0x4B1000004B2,
+        0x4B3000004B4,
+        0x4B5000004B6,
+        0x4B7000004B8,
+        0x4B9000004BA,
+        0x4BB000004BC,
+        0x4BD000004BE,
+        0x4BF000004C0,
+        0x4C2000004C3,
+        0x4C4000004C5,
+        0x4C6000004C7,
+        0x4C8000004C9,
+        0x4CA000004CB,
+        0x4CC000004CD,
+        0x4CE000004D0,
+        0x4D1000004D2,
+        0x4D3000004D4,
+        0x4D5000004D6,
+        0x4D7000004D8,
+        0x4D9000004DA,
+        0x4DB000004DC,
+        0x4DD000004DE,
+        0x4DF000004E0,
+        0x4E1000004E2,
+        0x4E3000004E4,
+        0x4E5000004E6,
+        0x4E7000004E8,
+        0x4E9000004EA,
+        0x4EB000004EC,
+        0x4ED000004EE,
+        0x4EF000004F0,
+        0x4F1000004F2,
+        0x4F3000004F4,
+        0x4F5000004F6,
+        0x4F7000004F8,
+        0x4F9000004FA,
+        0x4FB000004FC,
+        0x4FD000004FE,
+        0x4FF00000500,
+        0x50100000502,
+        0x50300000504,
+        0x50500000506,
+        0x50700000508,
+        0x5090000050A,
+        0x50B0000050C,
+        0x50D0000050E,
+        0x50F00000510,
+        0x51100000512,
+        0x51300000514,
+        0x51500000516,
+        0x51700000518,
+        0x5190000051A,
+        0x51B0000051C,
+        0x51D0000051E,
+        0x51F00000520,
+        0x52100000522,
+        0x52300000524,
+        0x52500000526,
+        0x52700000528,
+        0x5290000052A,
+        0x52B0000052C,
+        0x52D0000052E,
+        0x52F00000530,
+        0x5590000055A,
+        0x56000000587,
+        0x58800000589,
+        0x591000005BE,
+        0x5BF000005C0,
+        0x5C1000005C3,
+        0x5C4000005C6,
+        0x5C7000005C8,
+        0x5D0000005EB,
+        0x5EF000005F3,
+        0x6100000061B,
+        0x62000000640,
+        0x64100000660,
+        0x66E00000675,
+        0x679000006D4,
+        0x6D5000006DD,
+        0x6DF000006E9,
+        0x6EA000006F0,
+        0x6FA00000700,
+        0x7100000074B,
+        0x74D000007B2,
+        0x7C0000007F6,
+        0x7FD000007FE,
+        0x8000000082E,
+        0x8400000085C,
+        0x8600000086B,
+        0x87000000888,
+        0x88900000890,
+        0x897000008E2,
+        0x8E300000958,
+        0x96000000964,
+        0x96600000970,
+        0x97100000984,
+        0x9850000098D,
+        0x98F00000991,
+        0x993000009A9,
+        0x9AA000009B1,
+        0x9B2000009B3,
+        0x9B6000009BA,
+        0x9BC000009C5,
+        0x9C7000009C9,
+        0x9CB000009CF,
+        0x9D7000009D8,
+        0x9E0000009E4,
+        0x9E6000009F2,
+        0x9FC000009FD,
+        0x9FE000009FF,
+        0xA0100000A04,
+        0xA0500000A0B,
+        0xA0F00000A11,
+        0xA1300000A29,
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+        0x10F3000010F51,
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+        0x1115000011174,
+        0x1117600011177,
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+        0x1121300011238,
+        0x1123E00011242,
+        0x1128000011287,
+        0x1128800011289,
+        0x1128A0001128E,
+        0x1128F0001129E,
+        0x1129F000112A9,
+        0x112B0000112EB,
+        0x112F0000112FA,
+        0x1130000011304,
+        0x113050001130D,
+        0x1130F00011311,
+        0x1131300011329,
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+        0x1133200011334,
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+        0x1133B00011345,
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+        0x1138B0001138C,
+        0x1138E0001138F,
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+        0x113C7000113CB,
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+        0x115D8000115DE,
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+        0x1164400011645,
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+        0x116C0000116CA,
+        0x116D0000116E4,
+        0x117000001171B,
+        0x1171D0001172C,
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+        0x118C0000118EA,
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+        0x1191500011917,
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+        0x1193B00011944,
+        0x119500001195A,
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+        0x2CEB00002EBE1,
+        0x2EBF00002EE5E,
+        0x300000003134B,
+        0x313500003347A,
+    ),
+    "CONTEXTJ": (0x200C0000200E,),
+    "CONTEXTO": (
+        0xB7000000B8,
+        0x37500000376,
+        0x5F3000005F5,
+        0x6600000066A,
+        0x6F0000006FA,
+        0x30FB000030FC,
+    ),
+}
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/intranges.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/intranges.py
new file mode 100644
index 0000000000000000000000000000000000000000..19d77810caf332a1f310bd3b734dab7bbd82f64c
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/intranges.py
@@ -0,0 +1,55 @@
+"""
+Given a list of integers, made up of (hopefully) a small number of long runs
+of consecutive integers, compute a representation of the form
+((start1, end1), (start2, end2) ...). Then answer the question "was x present
+in the original list?" in time O(log(# runs)).
+"""
+
+import bisect
+
+
+def intranges_from_list(list_: list[int]) -> tuple[int, ...]:
+    """Represent a list of integers as a sequence of ranges:
+    ((start_0, end_0), (start_1, end_1), ...), such that the original
+    integers are exactly those x such that start_i <= x < end_i for some i.
+
+    Ranges are encoded as single integers (start << 32 | end), not as tuples.
+    """
+
+    sorted_list = sorted(list_)
+    ranges = []
+    last_write = -1
+    for i in range(len(sorted_list)):
+        if i + 1 < len(sorted_list) and sorted_list[i] == sorted_list[i + 1] - 1:
+            continue
+        current_range = sorted_list[last_write + 1 : i + 1]
+        ranges.append(_encode_range(current_range[0], current_range[-1] + 1))
+        last_write = i
+
+    return tuple(ranges)
+
+
+def _encode_range(start: int, end: int) -> int:
+    return (start << 32) | end
+
+
+def _decode_range(r: int) -> tuple[int, int]:
+    return (r >> 32), (r & ((1 << 32) - 1))
+
+
+def intranges_contain(int_: int, ranges: tuple[int, ...]) -> bool:
+    """Determine if `int_` falls into one of the ranges in `ranges`."""
+    tuple_ = _encode_range(int_, 0)
+    pos = bisect.bisect_left(ranges, tuple_)
+    # we could be immediately ahead of a tuple (start, end)
+    # with start < int_ <= end
+    if pos > 0:
+        left, right = _decode_range(ranges[pos - 1])
+        if left <= int_ < right:
+            return True
+    # or we could be immediately behind a tuple (int_, end)
+    if pos < len(ranges):
+        left, _ = _decode_range(ranges[pos])
+        if left == int_:
+            return True
+    return False
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/package_data.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/package_data.py
new file mode 100644
index 0000000000000000000000000000000000000000..94e40398cda6322e7c348ce8c2c44b80a904e5c7
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/package_data.py
@@ -0,0 +1 @@
+__version__ = "3.18"
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/py.typed b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/py.typed
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/uts46data.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/uts46data.py
new file mode 100644
index 0000000000000000000000000000000000000000..f2d931fe5d23c043a47687c480cffffd069e7aa6
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/idna/uts46data.py
@@ -0,0 +1,16896 @@
+# This file is automatically generated by tools/idna-data
+
+from array import array
+from typing import Optional
+
+"""IDNA Mapping Table from UTS46."""
+
+
+__version__ = "17.0.0"
+
+uts46_starts: "array[int]" = array(
+    "I",
+    (
+        0x0,
+        0x1,
+        0x2,
+        0x3,
+        0x4,
+        0x5,
+        0x6,
+        0x7,
+        0x8,
+        0x9,
+        0xA,
+        0xB,
+        0xC,
+        0xD,
+        0xE,
+        0xF,
+        0x10,
+        0x11,
+        0x12,
+        0x13,
+        0x14,
+        0x15,
+        0x16,
+        0x17,
+        0x18,
+        0x19,
+        0x1A,
+        0x1B,
+        0x1C,
+        0x1D,
+        0x1E,
+        0x1F,
+        0x20,
+        0x21,
+        0x22,
+        0x23,
+        0x24,
+        0x25,
+        0x26,
+        0x27,
+        0x28,
+        0x29,
+        0x2A,
+        0x2B,
+        0x2C,
+        0x2D,
+        0x2E,
+        0x2F,
+        0x30,
+        0x31,
+        0x32,
+        0x33,
+        0x34,
+        0x35,
+        0x36,
+        0x37,
+        0x38,
+        0x39,
+        0x3A,
+        0x3B,
+        0x3C,
+        0x3D,
+        0x3E,
+        0x3F,
+        0x40,
+        0x41,
+        0x42,
+        0x43,
+        0x44,
+        0x45,
+        0x46,
+        0x47,
+        0x48,
+        0x49,
+        0x4A,
+        0x4B,
+        0x4C,
+        0x4D,
+        0x4E,
+        0x4F,
+        0x50,
+        0x51,
+        0x52,
+        0x53,
+        0x54,
+        0x55,
+        0x56,
+        0x57,
+        0x58,
+        0x59,
+        0x5A,
+        0x5B,
+        0x5C,
+        0x5D,
+        0x5E,
+        0x5F,
+        0x60,
+        0x61,
+        0x62,
+        0x63,
+        0x64,
+        0x65,
+        0x66,
+        0x67,
+        0x68,
+        0x69,
+        0x6A,
+        0x6B,
+        0x6C,
+        0x6D,
+        0x6E,
+        0x6F,
+        0x70,
+        0x71,
+        0x72,
+        0x73,
+        0x74,
+        0x75,
+        0x76,
+        0x77,
+        0x78,
+        0x79,
+        0x7A,
+        0x7B,
+        0x7C,
+        0x7D,
+        0x7E,
+        0x7F,
+        0x80,
+        0x81,
+        0x82,
+        0x83,
+        0x84,
+        0x85,
+        0x86,
+        0x87,
+        0x88,
+        0x89,
+        0x8A,
+        0x8B,
+        0x8C,
+        0x8D,
+        0x8E,
+        0x8F,
+        0x90,
+        0x91,
+        0x92,
+        0x93,
+        0x94,
+        0x95,
+        0x96,
+        0x97,
+        0x98,
+        0x99,
+        0x9A,
+        0x9B,
+        0x9C,
+        0x9D,
+        0x9E,
+        0x9F,
+        0xA0,
+        0xA1,
+        0xA2,
+        0xA3,
+        0xA4,
+        0xA5,
+        0xA6,
+        0xA7,
+        0xA8,
+        0xA9,
+        0xAA,
+        0xAB,
+        0xAC,
+        0xAD,
+        0xAE,
+        0xAF,
+        0xB0,
+        0xB1,
+        0xB2,
+        0xB3,
+        0xB4,
+        0xB5,
+        0xB6,
+        0xB7,
+        0xB8,
+        0xB9,
+        0xBA,
+        0xBB,
+        0xBC,
+        0xBD,
+        0xBE,
+        0xBF,
+        0xC0,
+        0xC1,
+        0xC2,
+        0xC3,
+        0xC4,
+        0xC5,
+        0xC6,
+        0xC7,
+        0xC8,
+        0xC9,
+        0xCA,
+        0xCB,
+        0xCC,
+        0xCD,
+        0xCE,
+        0xCF,
+        0xD0,
+        0xD1,
+        0xD2,
+        0xD3,
+        0xD4,
+        0xD5,
+        0xD6,
+        0xD7,
+        0xD8,
+        0xD9,
+        0xDA,
+        0xDB,
+        0xDC,
+        0xDD,
+        0xDE,
+        0xDF,
+        0xE0,
+        0xE1,
+        0xE2,
+        0xE3,
+        0xE4,
+        0xE5,
+        0xE6,
+        0xE7,
+        0xE8,
+        0xE9,
+        0xEA,
+        0xEB,
+        0xEC,
+        0xED,
+        0xEE,
+        0xEF,
+        0xF0,
+        0xF1,
+        0xF2,
+        0xF3,
+        0xF4,
+        0xF5,
+        0xF6,
+        0xF7,
+        0xF8,
+        0xF9,
+        0xFA,
+        0xFB,
+        0xFC,
+        0xFD,
+        0xFE,
+        0xFF,
+        0x100,
+        0x101,
+        0x102,
+        0x103,
+        0x104,
+        0x105,
+        0x106,
+        0x107,
+        0x108,
+        0x109,
+        0x10A,
+        0x10B,
+        0x10C,
+        0x10D,
+        0x10E,
+        0x10F,
+        0x110,
+        0x111,
+        0x112,
+        0x113,
+        0x114,
+        0x115,
+        0x116,
+        0x117,
+        0x118,
+        0x119,
+        0x11A,
+        0x11B,
+        0x11C,
+        0x11D,
+        0x11E,
+        0x11F,
+        0x120,
+        0x121,
+        0x122,
+        0x123,
+        0x124,
+        0x125,
+        0x126,
+        0x127,
+        0x128,
+        0x129,
+        0x12A,
+        0x12B,
+        0x12C,
+        0x12D,
+        0x12E,
+        0x12F,
+        0x130,
+        0x131,
+        0x132,
+        0x134,
+        0x135,
+        0x136,
+        0x137,
+        0x139,
+        0x13A,
+        0x13B,
+        0x13C,
+        0x13D,
+        0x13E,
+        0x13F,
+        0x141,
+        0x142,
+        0x143,
+        0x144,
+        0x145,
+        0x146,
+        0x147,
+        0x148,
+        0x149,
+        0x14A,
+        0x14B,
+        0x14C,
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+        0x14E,
+        0x14F,
+        0x150,
+        0x151,
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+        0x15A,
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+        0x15E,
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+        0x161,
+        0x162,
+        0x163,
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+        0x165,
+        0x166,
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+    None,
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+    "34",
+    "35",
+    "ᄀ",
+    "ᄂ",
+    "ᄃ",
+    "ᄅ",
+    "ᄆ",
+    "ᄇ",
+    "ᄉ",
+    "ᄋ",
+    "ᄌ",
+    "ᄎ",
+    "ᄏ",
+    "ᄐ",
+    "ᄑ",
+    "ᄒ",
+    "가",
+    "나",
+    "다",
+    "라",
+    "마",
+    "바",
+    "사",
+    "아",
+    "자",
+    "차",
+    "카",
+    "타",
+    "파",
+    "하",
+    "참고",
+    "주의",
+    "우",
+    None,
+    "一",
+    "二",
+    "三",
+    "四",
+    "五",
+    "六",
+    "七",
+    "八",
+    "九",
+    "十",
+    "月",
+    "火",
+    "水",
+    "木",
+    "金",
+    "土",
+    "日",
+    "株",
+    "有",
+    "社",
+    "名",
+    "特",
+    "財",
+    "祝",
+    "労",
+    "秘",
+    "男",
+    "女",
+    "適",
+    "優",
+    "印",
+    "注",
+    "項",
+    "休",
+    "写",
+    "正",
+    "上",
+    "中",
+    "下",
+    "左",
+    "右",
+    "医",
+    "宗",
+    "学",
+    "監",
+    "企",
+    "資",
+    "協",
+    "夜",
+    "36",
+    "37",
+    "38",
+    "39",
+    "40",
+    "41",
+    "42",
+    "43",
+    "44",
+    "45",
+    "46",
+    "47",
+    "48",
+    "49",
+    "50",
+    "1月",
+    "2月",
+    "3月",
+    "4月",
+    "5月",
+    "6月",
+    "7月",
+    "8月",
+    "9月",
+    "10月",
+    "11月",
+    "12月",
+    "hg",
+    "erg",
+    "ev",
+    "ltd",
+    "ア",
+    "イ",
+    "ウ",
+    "エ",
+    "オ",
+    "カ",
+    "キ",
+    "ク",
+    "ケ",
+    "コ",
+    "サ",
+    "シ",
+    "ス",
+    "セ",
+    "ソ",
+    "タ",
+    "チ",
+    "ツ",
+    "テ",
+    "ト",
+    "ナ",
+    "ニ",
+    "ヌ",
+    "ネ",
+    "ノ",
+    "ハ",
+    "ヒ",
+    "フ",
+    "ヘ",
+    "ホ",
+    "マ",
+    "ミ",
+    "ム",
+    "メ",
+    "モ",
+    "ヤ",
+    "ユ",
+    "ヨ",
+    "ラ",
+    "リ",
+    "ル",
+    "レ",
+    "ロ",
+    "ワ",
+    "ヰ",
+    "ヱ",
+    "ヲ",
+    "令和",
+    "アパート",
+    "アルファ",
+    "アンペア",
+    "アール",
+    "イニング",
+    "インチ",
+    "ウォン",
+    "エスクード",
+    "エーカー",
+    "オンス",
+    "オーム",
+    "カイリ",
+    "カラット",
+    "カロリー",
+    "ガロン",
+    "ガンマ",
+    "ギガ",
+    "ギニー",
+    "キュリー",
+    "ギルダー",
+    "キロ",
+    "キログラム",
+    "キロメートル",
+    "キロワット",
+    "グラム",
+    "グラムトン",
+    "クルゼイロ",
+    "クローネ",
+    "ケース",
+    "コルナ",
+    "コーポ",
+    "サイクル",
+    "サンチーム",
+    "シリング",
+    "センチ",
+    "セント",
+    "ダース",
+    "デシ",
+    "ドル",
+    "トン",
+    "ナノ",
+    "ノット",
+    "ハイツ",
+    "パーセント",
+    "パーツ",
+    "バーレル",
+    "ピアストル",
+    "ピクル",
+    "ピコ",
+    "ビル",
+    "ファラッド",
+    "フィート",
+    "ブッシェル",
+    "フラン",
+    "ヘクタール",
+    "ペソ",
+    "ペニヒ",
+    "ヘルツ",
+    "ペンス",
+    "ページ",
+    "ベータ",
+    "ポイント",
+    "ボルト",
+    "ホン",
+    "ポンド",
+    "ホール",
+    "ホーン",
+    "マイクロ",
+    "マイル",
+    "マッハ",
+    "マルク",
+    "マンション",
+    "ミクロン",
+    "ミリ",
+    "ミリバール",
+    "メガ",
+    "メガトン",
+    "メートル",
+    "ヤード",
+    "ヤール",
+    "ユアン",
+    "リットル",
+    "リラ",
+    "ルピー",
+    "ルーブル",
+    "レム",
+    "レントゲン",
+    "ワット",
+    "0点",
+    "1点",
+    "2点",
+    "3点",
+    "4点",
+    "5点",
+    "6点",
+    "7点",
+    "8点",
+    "9点",
+    "10点",
+    "11点",
+    "12点",
+    "13点",
+    "14点",
+    "15点",
+    "16点",
+    "17点",
+    "18点",
+    "19点",
+    "20点",
+    "21点",
+    "22点",
+    "23点",
+    "24点",
+    "hpa",
+    "da",
+    "au",
+    "bar",
+    "ov",
+    "pc",
+    "dm",
+    "dm2",
+    "dm3",
+    "iu",
+    "平成",
+    "昭和",
+    "大正",
+    "明治",
+    "株式会社",
+    "pa",
+    "na",
+    "μa",
+    "ma",
+    "ka",
+    "kb",
+    "mb",
+    "gb",
+    "cal",
+    "kcal",
+    "pf",
+    "nf",
+    "μf",
+    "μg",
+    "mg",
+    "kg",
+    "hz",
+    "khz",
+    "mhz",
+    "ghz",
+    "thz",
+    "μl",
+    "ml",
+    "dl",
+    "kl",
+    "fm",
+    "nm",
+    "μm",
+    "mm",
+    "cm",
+    "km",
+    "mm2",
+    "cm2",
+    "m2",
+    "km2",
+    "mm3",
+    "cm3",
+    "m3",
+    "km3",
+    "m∕s",
+    "m∕s2",
+    "pa",
+    "kpa",
+    "mpa",
+    "gpa",
+    "rad",
+    "rad∕s",
+    "rad∕s2",
+    "ps",
+    "ns",
+    "μs",
+    "ms",
+    "pv",
+    "nv",
+    "μv",
+    "mv",
+    "kv",
+    "mv",
+    "pw",
+    "nw",
+    "μw",
+    "mw",
+    "kw",
+    "mw",
+    "kω",
+    "mω",
+    None,
+    "bq",
+    "cc",
+    "cd",
+    "c∕kg",
+    None,
+    "db",
+    "gy",
+    "ha",
+    "hp",
+    "in",
+    "kk",
+    "km",
+    "kt",
+    "lm",
+    "ln",
+    "log",
+    "lx",
+    "mb",
+    "mil",
+    "mol",
+    "ph",
+    None,
+    "ppm",
+    "pr",
+    "sr",
+    "sv",
+    "wb",
+    "v∕m",
+    "a∕m",
+    "1日",
+    "2日",
+    "3日",
+    "4日",
+    "5日",
+    "6日",
+    "7日",
+    "8日",
+    "9日",
+    "10日",
+    "11日",
+    "12日",
+    "13日",
+    "14日",
+    "15日",
+    "16日",
+    "17日",
+    "18日",
+    "19日",
+    "20日",
+    "21日",
+    "22日",
+    "23日",
+    "24日",
+    "25日",
+    "26日",
+    "27日",
+    "28日",
+    "29日",
+    "30日",
+    "31日",
+    "gal",
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    "ꙁ",
+    None,
+    "ꙃ",
+    None,
+    "ꙅ",
+    None,
+    "ꙇ",
+    None,
+    "ꙉ",
+    None,
+    "ꙋ",
+    None,
+    "ꙍ",
+    None,
+    "ꙏ",
+    None,
+    "ꙑ",
+    None,
+    "ꙓ",
+    None,
+    "ꙕ",
+    None,
+    "ꙗ",
+    None,
+    "ꙙ",
+    None,
+    "ꙛ",
+    None,
+    "ꙝ",
+    None,
+    "ꙟ",
+    None,
+    "ꙡ",
+    None,
+    "ꙣ",
+    None,
+    "ꙥ",
+    None,
+    "ꙧ",
+    None,
+    "ꙩ",
+    None,
+    "ꙫ",
+    None,
+    "ꙭ",
+    None,
+    "ꚁ",
+    None,
+    "ꚃ",
+    None,
+    "ꚅ",
+    None,
+    "ꚇ",
+    None,
+    "ꚉ",
+    None,
+    "ꚋ",
+    None,
+    "ꚍ",
+    None,
+    "ꚏ",
+    None,
+    "ꚑ",
+    None,
+    "ꚓ",
+    None,
+    "ꚕ",
+    None,
+    "ꚗ",
+    None,
+    "ꚙ",
+    None,
+    "ꚛ",
+    None,
+    "ъ",
+    "ь",
+    None,
+    None,
+    None,
+    "ꜣ",
+    None,
+    "ꜥ",
+    None,
+    "ꜧ",
+    None,
+    "ꜩ",
+    None,
+    "ꜫ",
+    None,
+    "ꜭ",
+    None,
+    "ꜯ",
+    None,
+    "ꜳ",
+    None,
+    "ꜵ",
+    None,
+    "ꜷ",
+    None,
+    "ꜹ",
+    None,
+    "ꜻ",
+    None,
+    "ꜽ",
+    None,
+    "ꜿ",
+    None,
+    "ꝁ",
+    None,
+    "ꝃ",
+    None,
+    "ꝅ",
+    None,
+    "ꝇ",
+    None,
+    "ꝉ",
+    None,
+    "ꝋ",
+    None,
+    "ꝍ",
+    None,
+    "ꝏ",
+    None,
+    "ꝑ",
+    None,
+    "ꝓ",
+    None,
+    "ꝕ",
+    None,
+    "ꝗ",
+    None,
+    "ꝙ",
+    None,
+    "ꝛ",
+    None,
+    "ꝝ",
+    None,
+    "ꝟ",
+    None,
+    "ꝡ",
+    None,
+    "ꝣ",
+    None,
+    "ꝥ",
+    None,
+    "ꝧ",
+    None,
+    "ꝩ",
+    None,
+    "ꝫ",
+    None,
+    "ꝭ",
+    None,
+    "ꝯ",
+    None,
+    "ꝯ",
+    None,
+    "ꝺ",
+    None,
+    "ꝼ",
+    None,
+    "ᵹ",
+    "ꝿ",
+    None,
+    "ꞁ",
+    None,
+    "ꞃ",
+    None,
+    "ꞅ",
+    None,
+    "ꞇ",
+    None,
+    "ꞌ",
+    None,
+    "ɥ",
+    None,
+    "ꞑ",
+    None,
+    "ꞓ",
+    None,
+    "ꞗ",
+    None,
+    "ꞙ",
+    None,
+    "ꞛ",
+    None,
+    "ꞝ",
+    None,
+    "ꞟ",
+    None,
+    "ꞡ",
+    None,
+    "ꞣ",
+    None,
+    "ꞥ",
+    None,
+    "ꞧ",
+    None,
+    "ꞩ",
+    None,
+    "ɦ",
+    "ɜ",
+    "ɡ",
+    "ɬ",
+    "ɪ",
+    None,
+    "ʞ",
+    "ʇ",
+    "ʝ",
+    "ꭓ",
+    "ꞵ",
+    None,
+    "ꞷ",
+    None,
+    "ꞹ",
+    None,
+    "ꞻ",
+    None,
+    "ꞽ",
+    None,
+    "ꞿ",
+    None,
+    "ꟁ",
+    None,
+    "ꟃ",
+    None,
+    "ꞔ",
+    "ʂ",
+    "ᶎ",
+    "ꟈ",
+    None,
+    "ꟊ",
+    None,
+    "ɤ",
+    "\ua7cd",
+    None,
+    "\ua7cf",
+    None,
+    "ꟑ",
+    None,
+    "ꟓ",
+    None,
+    "ꟕ",
+    None,
+    "ꟗ",
+    None,
+    "ꟙ",
+    None,
+    "\ua7db",
+    None,
+    "ƛ",
+    None,
+    "s",
+    "c",
+    "f",
+    "q",
+    "ꟶ",
+    None,
+    "ħ",
+    "œ",
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    "ꜧ",
+    "ꬷ",
+    "ɫ",
+    "ꭒ",
+    None,
+    "ʍ",
+    None,
+    None,
+    "Ꭰ",
+    "Ꭱ",
+    "Ꭲ",
+    "Ꭳ",
+    "Ꭴ",
+    "Ꭵ",
+    "Ꭶ",
+    "Ꭷ",
+    "Ꭸ",
+    "Ꭹ",
+    "Ꭺ",
+    "Ꭻ",
+    "Ꭼ",
+    "Ꭽ",
+    "Ꭾ",
+    "Ꭿ",
+    "Ꮀ",
+    "Ꮁ",
+    "Ꮂ",
+    "Ꮃ",
+    "Ꮄ",
+    "Ꮅ",
+    "Ꮆ",
+    "Ꮇ",
+    "Ꮈ",
+    "Ꮉ",
+    "Ꮊ",
+    "Ꮋ",
+    "Ꮌ",
+    "Ꮍ",
+    "Ꮎ",
+    "Ꮏ",
+    "Ꮐ",
+    "Ꮑ",
+    "Ꮒ",
+    "Ꮓ",
+    "Ꮔ",
+    "Ꮕ",
+    "Ꮖ",
+    "Ꮗ",
+    "Ꮘ",
+    "Ꮙ",
+    "Ꮚ",
+    "Ꮛ",
+    "Ꮜ",
+    "Ꮝ",
+    "Ꮞ",
+    "Ꮟ",
+    "Ꮠ",
+    "Ꮡ",
+    "Ꮢ",
+    "Ꮣ",
+    "Ꮤ",
+    "Ꮥ",
+    "Ꮦ",
+    "Ꮧ",
+    "Ꮨ",
+    "Ꮩ",
+    "Ꮪ",
+    "Ꮫ",
+    "Ꮬ",
+    "Ꮭ",
+    "Ꮮ",
+    "Ꮯ",
+    "Ꮰ",
+    "Ꮱ",
+    "Ꮲ",
+    "Ꮳ",
+    "Ꮴ",
+    "Ꮵ",
+    "Ꮶ",
+    "Ꮷ",
+    "Ꮸ",
+    "Ꮹ",
+    "Ꮺ",
+    "Ꮻ",
+    "Ꮼ",
+    "Ꮽ",
+    "Ꮾ",
+    "Ꮿ",
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    "豈",
+    "更",
+    "車",
+    "賈",
+    "滑",
+    "串",
+    "句",
+    "龜",
+    "契",
+    "金",
+    "喇",
+    "奈",
+    "懶",
+    "癩",
+    "羅",
+    "蘿",
+    "螺",
+    "裸",
+    "邏",
+    "樂",
+    "洛",
+    "烙",
+    "珞",
+    "落",
+    "酪",
+    "駱",
+    "亂",
+    "卵",
+    "欄",
+    "爛",
+    "蘭",
+    "鸞",
+    "嵐",
+    "濫",
+    "藍",
+    "襤",
+    "拉",
+    "臘",
+    "蠟",
+    "廊",
+    "朗",
+    "浪",
+    "狼",
+    "郎",
+    "來",
+    "冷",
+    "勞",
+    "擄",
+    "櫓",
+    "爐",
+    "盧",
+    "老",
+    "蘆",
+    "虜",
+    "路",
+    "露",
+    "魯",
+    "鷺",
+    "碌",
+    "祿",
+    "綠",
+    "菉",
+    "錄",
+    "鹿",
+    "論",
+    "壟",
+    "弄",
+    "籠",
+    "聾",
+    "牢",
+    "磊",
+    "賂",
+    "雷",
+    "壘",
+    "屢",
+    "樓",
+    "淚",
+    "漏",
+    "累",
+    "縷",
+    "陋",
+    "勒",
+    "肋",
+    "凜",
+    "凌",
+    "稜",
+    "綾",
+    "菱",
+    "陵",
+    "讀",
+    "拏",
+    "樂",
+    "諾",
+    "丹",
+    "寧",
+    "怒",
+    "率",
+    "異",
+    "北",
+    "磻",
+    "便",
+    "復",
+    "不",
+    "泌",
+    "數",
+    "索",
+    "參",
+    "塞",
+    "省",
+    "葉",
+    "說",
+    "殺",
+    "辰",
+    "沈",
+    "拾",
+    "若",
+    "掠",
+    "略",
+    "亮",
+    "兩",
+    "凉",
+    "梁",
+    "糧",
+    "良",
+    "諒",
+    "量",
+    "勵",
+    "呂",
+    "女",
+    "廬",
+    "旅",
+    "濾",
+    "礪",
+    "閭",
+    "驪",
+    "麗",
+    "黎",
+    "力",
+    "曆",
+    "歷",
+    "轢",
+    "年",
+    "憐",
+    "戀",
+    "撚",
+    "漣",
+    "煉",
+    "璉",
+    "秊",
+    "練",
+    "聯",
+    "輦",
+    "蓮",
+    "連",
+    "鍊",
+    "列",
+    "劣",
+    "咽",
+    "烈",
+    "裂",
+    "說",
+    "廉",
+    "念",
+    "捻",
+    "殮",
+    "簾",
+    "獵",
+    "令",
+    "囹",
+    "寧",
+    "嶺",
+    "怜",
+    "玲",
+    "瑩",
+    "羚",
+    "聆",
+    "鈴",
+    "零",
+    "靈",
+    "領",
+    "例",
+    "禮",
+    "醴",
+    "隸",
+    "惡",
+    "了",
+    "僚",
+    "寮",
+    "尿",
+    "料",
+    "樂",
+    "燎",
+    "療",
+    "蓼",
+    "遼",
+    "龍",
+    "暈",
+    "阮",
+    "劉",
+    "杻",
+    "柳",
+    "流",
+    "溜",
+    "琉",
+    "留",
+    "硫",
+    "紐",
+    "類",
+    "六",
+    "戮",
+    "陸",
+    "倫",
+    "崙",
+    "淪",
+    "輪",
+    "律",
+    "慄",
+    "栗",
+    "率",
+    "隆",
+    "利",
+    "吏",
+    "履",
+    "易",
+    "李",
+    "梨",
+    "泥",
+    "理",
+    "痢",
+    "罹",
+    "裏",
+    "裡",
+    "里",
+    "離",
+    "匿",
+    "溺",
+    "吝",
+    "燐",
+    "璘",
+    "藺",
+    "隣",
+    "鱗",
+    "麟",
+    "林",
+    "淋",
+    "臨",
+    "立",
+    "笠",
+    "粒",
+    "狀",
+    "炙",
+    "識",
+    "什",
+    "茶",
+    "刺",
+    "切",
+    "度",
+    "拓",
+    "糖",
+    "宅",
+    "洞",
+    "暴",
+    "輻",
+    "行",
+    "降",
+    "見",
+    "廓",
+    "兀",
+    "嗀",
+    None,
+    "塚",
+    None,
+    "晴",
+    None,
+    "凞",
+    "猪",
+    "益",
+    "礼",
+    "神",
+    "祥",
+    "福",
+    "靖",
+    "精",
+    "羽",
+    None,
+    "蘒",
+    None,
+    "諸",
+    None,
+    "逸",
+    "都",
+    None,
+    "飯",
+    "飼",
+    "館",
+    "鶴",
+    "郞",
+    "隷",
+    "侮",
+    "僧",
+    "免",
+    "勉",
+    "勤",
+    "卑",
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+    "嘆",
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+    "塀",
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+    "梅",
+    "海",
+    "渚",
+    "漢",
+    "煮",
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+    "琢",
+    "碑",
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+    "祈",
+    "祐",
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+    "禎",
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+    "節",
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+    None,
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+    "愈",
+    "憎",
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+    "懲",
+    "戴",
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+    "摒",
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+    "歹",
+    "殺",
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+    "滋",
+    "漢",
+    "瀞",
+    "煮",
+    "瞧",
+    "爵",
+    "犯",
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+    "瑱",
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+    "画",
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+    None,
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+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
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+    "3,",
+    "4,",
+    "5,",
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+    "8,",
+    "9,",
+    None,
+    "(a)",
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+    "(d)",
+    "(e)",
+    "(f)",
+    "(g)",
+    "(h)",
+    "(i)",
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+    "(q)",
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+    "(u)",
+    "(v)",
+    "(w)",
+    "(x)",
+    "(y)",
+    "(z)",
+    "〔s〕",
+    "c",
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+    None,
+    "a",
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+    "月",
+    "申",
+    "割",
+    "営",
+    "配",
+    None,
+    "〔本〕",
+    "〔三〕",
+    "〔二〕",
+    "〔安〕",
+    "〔点〕",
+    "〔打〕",
+    "〔盗〕",
+    "〔勝〕",
+    "〔敗〕",
+    None,
+    "得",
+    "可",
+    None,
+    None,
+    None,
+    None,
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+    None,
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+    "9",
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    "丽",
+    "丸",
+    "乁",
+    "𠄢",
+    "你",
+    "侮",
+    "侻",
+    "倂",
+    "偺",
+    "備",
+    "僧",
+    "像",
+    "㒞",
+    "𠘺",
+    "免",
+    "兔",
+    "兤",
+    "具",
+    "𠔜",
+    "㒹",
+    "內",
+    "再",
+    "𠕋",
+    "冗",
+    "冤",
+    "仌",
+    "冬",
+    "况",
+    "𩇟",
+    "凵",
+    "刃",
+    "㓟",
+    "刻",
+    "剆",
+    "割",
+    "剷",
+    "㔕",
+    "勇",
+    "勉",
+    "勤",
+    "勺",
+    "包",
+    "匆",
+    "北",
+    "卉",
+    "卑",
+    "博",
+    "即",
+    "卽",
+    "卿",
+    "𠨬",
+    "灰",
+    "及",
+    "叟",
+    "𠭣",
+    "叫",
+    "叱",
+    "吆",
+    "咞",
+    "吸",
+    "呈",
+    "周",
+    "咢",
+    "哶",
+    "唐",
+    "啓",
+    "啣",
+    "善",
+    "喙",
+    "喫",
+    "喳",
+    "嗂",
+    "圖",
+    "嘆",
+    "圗",
+    "噑",
+    "噴",
+    "切",
+    "壮",
+    "城",
+    "埴",
+    "堍",
+    "型",
+    "堲",
+    "報",
+    "墬",
+    "𡓤",
+    "売",
+    "壷",
+    "夆",
+    "多",
+    "夢",
+    "奢",
+    "𡚨",
+    "𡛪",
+    "姬",
+    "娛",
+    "娧",
+    "姘",
+    "婦",
+    "㛮",
+    "㛼",
+    "嬈",
+    "嬾",
+    "𡧈",
+    "寃",
+    "寘",
+    "寧",
+    "寳",
+    "𡬘",
+    "寿",
+    "将",
+    "当",
+    "尢",
+    "㞁",
+    "屠",
+    "屮",
+    "峀",
+    "岍",
+    "𡷤",
+    "嵃",
+    "𡷦",
+    "嵮",
+    "嵫",
+    "嵼",
+    "巡",
+    "巢",
+    "㠯",
+    "巽",
+    "帨",
+    "帽",
+    "幩",
+    "㡢",
+    "𢆃",
+    "㡼",
+    "庰",
+    "庳",
+    "庶",
+    "廊",
+    "𪎒",
+    "廾",
+    "𢌱",
+    "舁",
+    "弢",
+    "㣇",
+    "𣊸",
+    "𦇚",
+    "形",
+    "彫",
+    "㣣",
+    "徚",
+    "忍",
+    "志",
+    "忹",
+    "悁",
+    "㤺",
+    "㤜",
+    "悔",
+    "𢛔",
+    "惇",
+    "慈",
+    "慌",
+    "慎",
+    "慌",
+    "慺",
+    "憎",
+    "憲",
+    "憤",
+    "憯",
+    "懞",
+    "懲",
+    "懶",
+    "成",
+    "戛",
+    "扝",
+    "抱",
+    "拔",
+    "捐",
+    "𢬌",
+    "挽",
+    "拼",
+    "捨",
+    "掃",
+    "揤",
+    "𢯱",
+    "搢",
+    "揅",
+    "掩",
+    "㨮",
+    "摩",
+    "摾",
+    "撝",
+    "摷",
+    "㩬",
+    "敏",
+    "敬",
+    "𣀊",
+    "旣",
+    "書",
+    "晉",
+    "㬙",
+    "暑",
+    "㬈",
+    "㫤",
+    "冒",
+    "冕",
+    "最",
+    "暜",
+    "肭",
+    "䏙",
+    "朗",
+    "望",
+    "朡",
+    "杞",
+    "杓",
+    "𣏃",
+    "㭉",
+    "柺",
+    "枅",
+    "桒",
+    "梅",
+    "𣑭",
+    "梎",
+    "栟",
+    "椔",
+    "㮝",
+    "楂",
+    "榣",
+    "槪",
+    "檨",
+    "𣚣",
+    "櫛",
+    "㰘",
+    "次",
+    "𣢧",
+    "歔",
+    "㱎",
+    "歲",
+    "殟",
+    "殺",
+    "殻",
+    "𣪍",
+    "𡴋",
+    "𣫺",
+    "汎",
+    "𣲼",
+    "沿",
+    "泍",
+    "汧",
+    "洖",
+    "派",
+    "海",
+    "流",
+    "浩",
+    "浸",
+    "涅",
+    "𣴞",
+    "洴",
+    "港",
+    "湮",
+    "㴳",
+    "滋",
+    "滇",
+    "𣻑",
+    "淹",
+    "潮",
+    "𣽞",
+    "𣾎",
+    "濆",
+    "瀹",
+    "瀞",
+    "瀛",
+    "㶖",
+    "灊",
+    "災",
+    "灷",
+    "炭",
+    "𠔥",
+    "煅",
+    "𤉣",
+    "熜",
+    "𤎫",
+    "爨",
+    "爵",
+    "牐",
+    "𤘈",
+    "犀",
+    "犕",
+    "𤜵",
+    "𤠔",
+    "獺",
+    "王",
+    "㺬",
+    "玥",
+    "㺸",
+    "瑇",
+    "瑜",
+    "瑱",
+    "璅",
+    "瓊",
+    "㼛",
+    "甤",
+    "𤰶",
+    "甾",
+    "𤲒",
+    "異",
+    "𢆟",
+    "瘐",
+    "𤾡",
+    "𤾸",
+    "𥁄",
+    "㿼",
+    "䀈",
+    "直",
+    "𥃳",
+    "𥃲",
+    "𥄙",
+    "𥄳",
+    "眞",
+    "真",
+    "睊",
+    "䀹",
+    "瞋",
+    "䁆",
+    "䂖",
+    "𥐝",
+    "硎",
+    "碌",
+    "磌",
+    "䃣",
+    "𥘦",
+    "祖",
+    "𥚚",
+    "𥛅",
+    "福",
+    "秫",
+    "䄯",
+    "穀",
+    "穊",
+    "穏",
+    "𥥼",
+    "𥪧",
+    "竮",
+    "䈂",
+    "𥮫",
+    "篆",
+    "築",
+    "䈧",
+    "𥲀",
+    "糒",
+    "䊠",
+    "糨",
+    "糣",
+    "紀",
+    "𥾆",
+    "絣",
+    "䌁",
+    "緇",
+    "縂",
+    "繅",
+    "䌴",
+    "𦈨",
+    "𦉇",
+    "䍙",
+    "𦋙",
+    "罺",
+    "𦌾",
+    "羕",
+    "翺",
+    "者",
+    "𦓚",
+    "𦔣",
+    "聠",
+    "𦖨",
+    "聰",
+    "𣍟",
+    "䏕",
+    "育",
+    "脃",
+    "䐋",
+    "脾",
+    "媵",
+    "𦞧",
+    "𦞵",
+    "𣎓",
+    "𣎜",
+    "舁",
+    "舄",
+    "辞",
+    "䑫",
+    "芑",
+    "芋",
+    "芝",
+    "劳",
+    "花",
+    "芳",
+    "芽",
+    "苦",
+    "𦬼",
+    "若",
+    "茝",
+    "荣",
+    "莭",
+    "茣",
+    "莽",
+    "菧",
+    "著",
+    "荓",
+    "菊",
+    "菌",
+    "菜",
+    "𦰶",
+    "𦵫",
+    "𦳕",
+    "䔫",
+    "蓱",
+    "蓳",
+    "蔖",
+    "𧏊",
+    "蕤",
+    "𦼬",
+    "䕝",
+    "䕡",
+    "𦾱",
+    "𧃒",
+    "䕫",
+    "虐",
+    "虜",
+    "虧",
+    "虩",
+    "蚩",
+    "蚈",
+    "蜎",
+    "蛢",
+    "蝹",
+    "蜨",
+    "蝫",
+    "螆",
+    "䗗",
+    "蟡",
+    "蠁",
+    "䗹",
+    "衠",
+    "衣",
+    "𧙧",
+    "裗",
+    "裞",
+    "䘵",
+    "裺",
+    "㒻",
+    "𧢮",
+    "𧥦",
+    "䚾",
+    "䛇",
+    "誠",
+    "諭",
+    "變",
+    "豕",
+    "𧲨",
+    "貫",
+    "賁",
+    "贛",
+    "起",
+    "𧼯",
+    "𠠄",
+    "跋",
+    "趼",
+    "跰",
+    "𠣞",
+    "軔",
+    "輸",
+    "𨗒",
+    "𨗭",
+    "邔",
+    "郱",
+    "鄑",
+    "𨜮",
+    "鄛",
+    "鈸",
+    "鋗",
+    "鋘",
+    "鉼",
+    "鏹",
+    "鐕",
+    "𨯺",
+    "開",
+    "䦕",
+    "閷",
+    "𨵷",
+    "䧦",
+    "雃",
+    "嶲",
+    "霣",
+    "𩅅",
+    "𩈚",
+    "䩮",
+    "䩶",
+    "韠",
+    "𩐊",
+    "䪲",
+    "𩒖",
+    "頋",
+    "頩",
+    "𩖶",
+    "飢",
+    "䬳",
+    "餩",
+    "馧",
+    "駂",
+    "駾",
+    "䯎",
+    "𩬰",
+    "鬒",
+    "鱀",
+    "鳽",
+    "䳎",
+    "䳭",
+    "鵧",
+    "𪃎",
+    "䳸",
+    "𪄅",
+    "𪈎",
+    "𪊑",
+    "麻",
+    "䵖",
+    "黹",
+    "黾",
+    "鼅",
+    "鼏",
+    "鼖",
+    "鼻",
+    "𪘀",
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+    None,
+)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/COPYING b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/COPYING
new file mode 100644
index 0000000000000000000000000000000000000000..f067af3aae15a5b494f0eeb15a7064c176e30fd5
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/COPYING
@@ -0,0 +1,14 @@
+Copyright (C) 2008-2011 INADA Naoki 
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..f3266b701fb408b481a686845bb4d0d5335c51be
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/__init__.py
@@ -0,0 +1,55 @@
+# ruff: noqa: F401
+import os
+
+from .exceptions import *  # noqa: F403
+from .ext import ExtType, Timestamp
+
+version = (1, 1, 2)
+__version__ = "1.1.2"
+
+
+if os.environ.get("MSGPACK_PUREPYTHON"):
+    from .fallback import Packer, Unpacker, unpackb
+else:
+    try:
+        from ._cmsgpack import Packer, Unpacker, unpackb
+    except ImportError:
+        from .fallback import Packer, Unpacker, unpackb
+
+
+def pack(o, stream, **kwargs):
+    """
+    Pack object `o` and write it to `stream`
+
+    See :class:`Packer` for options.
+    """
+    packer = Packer(**kwargs)
+    stream.write(packer.pack(o))
+
+
+def packb(o, **kwargs):
+    """
+    Pack object `o` and return packed bytes
+
+    See :class:`Packer` for options.
+    """
+    return Packer(**kwargs).pack(o)
+
+
+def unpack(stream, **kwargs):
+    """
+    Unpack an object from `stream`.
+
+    Raises `ExtraData` when `stream` contains extra bytes.
+    See :class:`Unpacker` for options.
+    """
+    data = stream.read()
+    return unpackb(data, **kwargs)
+
+
+# alias for compatibility to simplejson/marshal/pickle.
+load = unpack
+loads = unpackb
+
+dump = pack
+dumps = packb
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/exceptions.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/exceptions.py
new file mode 100644
index 0000000000000000000000000000000000000000..d6d2615cfdd0b914d064cdf7eecd45761e4bcaf6
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/exceptions.py
@@ -0,0 +1,48 @@
+class UnpackException(Exception):
+    """Base class for some exceptions raised while unpacking.
+
+    NOTE: unpack may raise exception other than subclass of
+    UnpackException.  If you want to catch all error, catch
+    Exception instead.
+    """
+
+
+class BufferFull(UnpackException):
+    pass
+
+
+class OutOfData(UnpackException):
+    pass
+
+
+class FormatError(ValueError, UnpackException):
+    """Invalid msgpack format"""
+
+
+class StackError(ValueError, UnpackException):
+    """Too nested"""
+
+
+# Deprecated.  Use ValueError instead
+UnpackValueError = ValueError
+
+
+class ExtraData(UnpackValueError):
+    """ExtraData is raised when there is trailing data.
+
+    This exception is raised while only one-shot (not streaming)
+    unpack.
+    """
+
+    def __init__(self, unpacked, extra):
+        self.unpacked = unpacked
+        self.extra = extra
+
+    def __str__(self):
+        return "unpack(b) received extra data."
+
+
+# Deprecated.  Use Exception instead to catch all exception during packing.
+PackException = Exception
+PackValueError = ValueError
+PackOverflowError = OverflowError
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/ext.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/ext.py
new file mode 100644
index 0000000000000000000000000000000000000000..9694819a7df1570ccbb41de065cb7052f9af8e79
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/ext.py
@@ -0,0 +1,170 @@
+import datetime
+import struct
+from collections import namedtuple
+
+
+class ExtType(namedtuple("ExtType", "code data")):
+    """ExtType represents ext type in msgpack."""
+
+    def __new__(cls, code, data):
+        if not isinstance(code, int):
+            raise TypeError("code must be int")
+        if not isinstance(data, bytes):
+            raise TypeError("data must be bytes")
+        if not 0 <= code <= 127:
+            raise ValueError("code must be 0~127")
+        return super().__new__(cls, code, data)
+
+
+class Timestamp:
+    """Timestamp represents the Timestamp extension type in msgpack.
+
+    When built with Cython, msgpack uses C methods to pack and unpack `Timestamp`.
+    When using pure-Python msgpack, :func:`to_bytes` and :func:`from_bytes` are used to pack and
+    unpack `Timestamp`.
+
+    This class is immutable: Do not override seconds and nanoseconds.
+    """
+
+    __slots__ = ["seconds", "nanoseconds"]
+
+    def __init__(self, seconds, nanoseconds=0):
+        """Initialize a Timestamp object.
+
+        :param int seconds:
+            Number of seconds since the UNIX epoch (00:00:00 UTC Jan 1 1970, minus leap seconds).
+            May be negative.
+
+        :param int nanoseconds:
+            Number of nanoseconds to add to `seconds` to get fractional time.
+            Maximum is 999_999_999.  Default is 0.
+
+        Note: Negative times (before the UNIX epoch) are represented as neg. seconds + pos. ns.
+        """
+        if not isinstance(seconds, int):
+            raise TypeError("seconds must be an integer")
+        if not isinstance(nanoseconds, int):
+            raise TypeError("nanoseconds must be an integer")
+        if not (0 <= nanoseconds < 10**9):
+            raise ValueError("nanoseconds must be a non-negative integer less than 999999999.")
+        self.seconds = seconds
+        self.nanoseconds = nanoseconds
+
+    def __repr__(self):
+        """String representation of Timestamp."""
+        return f"Timestamp(seconds={self.seconds}, nanoseconds={self.nanoseconds})"
+
+    def __eq__(self, other):
+        """Check for equality with another Timestamp object"""
+        if type(other) is self.__class__:
+            return self.seconds == other.seconds and self.nanoseconds == other.nanoseconds
+        return False
+
+    def __ne__(self, other):
+        """not-equals method (see :func:`__eq__()`)"""
+        return not self.__eq__(other)
+
+    def __hash__(self):
+        return hash((self.seconds, self.nanoseconds))
+
+    @staticmethod
+    def from_bytes(b):
+        """Unpack bytes into a `Timestamp` object.
+
+        Used for pure-Python msgpack unpacking.
+
+        :param b: Payload from msgpack ext message with code -1
+        :type b: bytes
+
+        :returns: Timestamp object unpacked from msgpack ext payload
+        :rtype: Timestamp
+        """
+        if len(b) == 4:
+            seconds = struct.unpack("!L", b)[0]
+            nanoseconds = 0
+        elif len(b) == 8:
+            data64 = struct.unpack("!Q", b)[0]
+            seconds = data64 & 0x00000003FFFFFFFF
+            nanoseconds = data64 >> 34
+        elif len(b) == 12:
+            nanoseconds, seconds = struct.unpack("!Iq", b)
+        else:
+            raise ValueError(
+                "Timestamp type can only be created from 32, 64, or 96-bit byte objects"
+            )
+        return Timestamp(seconds, nanoseconds)
+
+    def to_bytes(self):
+        """Pack this Timestamp object into bytes.
+
+        Used for pure-Python msgpack packing.
+
+        :returns data: Payload for EXT message with code -1 (timestamp type)
+        :rtype: bytes
+        """
+        if (self.seconds >> 34) == 0:  # seconds is non-negative and fits in 34 bits
+            data64 = self.nanoseconds << 34 | self.seconds
+            if data64 & 0xFFFFFFFF00000000 == 0:
+                # nanoseconds is zero and seconds < 2**32, so timestamp 32
+                data = struct.pack("!L", data64)
+            else:
+                # timestamp 64
+                data = struct.pack("!Q", data64)
+        else:
+            # timestamp 96
+            data = struct.pack("!Iq", self.nanoseconds, self.seconds)
+        return data
+
+    @staticmethod
+    def from_unix(unix_sec):
+        """Create a Timestamp from posix timestamp in seconds.
+
+        :param unix_float: Posix timestamp in seconds.
+        :type unix_float: int or float
+        """
+        seconds = int(unix_sec // 1)
+        nanoseconds = int((unix_sec % 1) * 10**9)
+        return Timestamp(seconds, nanoseconds)
+
+    def to_unix(self):
+        """Get the timestamp as a floating-point value.
+
+        :returns: posix timestamp
+        :rtype: float
+        """
+        return self.seconds + self.nanoseconds / 1e9
+
+    @staticmethod
+    def from_unix_nano(unix_ns):
+        """Create a Timestamp from posix timestamp in nanoseconds.
+
+        :param int unix_ns: Posix timestamp in nanoseconds.
+        :rtype: Timestamp
+        """
+        return Timestamp(*divmod(unix_ns, 10**9))
+
+    def to_unix_nano(self):
+        """Get the timestamp as a unixtime in nanoseconds.
+
+        :returns: posix timestamp in nanoseconds
+        :rtype: int
+        """
+        return self.seconds * 10**9 + self.nanoseconds
+
+    def to_datetime(self):
+        """Get the timestamp as a UTC datetime.
+
+        :rtype: `datetime.datetime`
+        """
+        utc = datetime.timezone.utc
+        return datetime.datetime.fromtimestamp(0, utc) + datetime.timedelta(
+            seconds=self.seconds, microseconds=self.nanoseconds // 1000
+        )
+
+    @staticmethod
+    def from_datetime(dt):
+        """Create a Timestamp from datetime with tzinfo.
+
+        :rtype: Timestamp
+        """
+        return Timestamp(seconds=int(dt.timestamp()), nanoseconds=dt.microsecond * 1000)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/fallback.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/fallback.py
new file mode 100644
index 0000000000000000000000000000000000000000..b02e47cfb91a54a7205881ee87a5db2ea8d049a7
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/msgpack/fallback.py
@@ -0,0 +1,929 @@
+"""Fallback pure Python implementation of msgpack"""
+
+import struct
+import sys
+from datetime import datetime as _DateTime
+
+if hasattr(sys, "pypy_version_info"):
+    from __pypy__ import newlist_hint
+    from __pypy__.builders import BytesBuilder
+
+    _USING_STRINGBUILDER = True
+
+    class BytesIO:
+        def __init__(self, s=b""):
+            if s:
+                self.builder = BytesBuilder(len(s))
+                self.builder.append(s)
+            else:
+                self.builder = BytesBuilder()
+
+        def write(self, s):
+            if isinstance(s, memoryview):
+                s = s.tobytes()
+            elif isinstance(s, bytearray):
+                s = bytes(s)
+            self.builder.append(s)
+
+        def getvalue(self):
+            return self.builder.build()
+
+else:
+    from io import BytesIO
+
+    _USING_STRINGBUILDER = False
+
+    def newlist_hint(size):
+        return []
+
+
+from .exceptions import BufferFull, ExtraData, FormatError, OutOfData, StackError
+from .ext import ExtType, Timestamp
+
+EX_SKIP = 0
+EX_CONSTRUCT = 1
+EX_READ_ARRAY_HEADER = 2
+EX_READ_MAP_HEADER = 3
+
+TYPE_IMMEDIATE = 0
+TYPE_ARRAY = 1
+TYPE_MAP = 2
+TYPE_RAW = 3
+TYPE_BIN = 4
+TYPE_EXT = 5
+
+DEFAULT_RECURSE_LIMIT = 511
+
+
+def _check_type_strict(obj, t, type=type, tuple=tuple):
+    if type(t) is tuple:
+        return type(obj) in t
+    else:
+        return type(obj) is t
+
+
+def _get_data_from_buffer(obj):
+    view = memoryview(obj)
+    if view.itemsize != 1:
+        raise ValueError("cannot unpack from multi-byte object")
+    return view
+
+
+def unpackb(packed, **kwargs):
+    """
+    Unpack an object from `packed`.
+
+    Raises ``ExtraData`` when *packed* contains extra bytes.
+    Raises ``ValueError`` when *packed* is incomplete.
+    Raises ``FormatError`` when *packed* is not valid msgpack.
+    Raises ``StackError`` when *packed* contains too nested.
+    Other exceptions can be raised during unpacking.
+
+    See :class:`Unpacker` for options.
+    """
+    unpacker = Unpacker(None, max_buffer_size=len(packed), **kwargs)
+    unpacker.feed(packed)
+    try:
+        ret = unpacker._unpack()
+    except OutOfData:
+        raise ValueError("Unpack failed: incomplete input")
+    except RecursionError:
+        raise StackError
+    if unpacker._got_extradata():
+        raise ExtraData(ret, unpacker._get_extradata())
+    return ret
+
+
+_NO_FORMAT_USED = ""
+_MSGPACK_HEADERS = {
+    0xC4: (1, _NO_FORMAT_USED, TYPE_BIN),
+    0xC5: (2, ">H", TYPE_BIN),
+    0xC6: (4, ">I", TYPE_BIN),
+    0xC7: (2, "Bb", TYPE_EXT),
+    0xC8: (3, ">Hb", TYPE_EXT),
+    0xC9: (5, ">Ib", TYPE_EXT),
+    0xCA: (4, ">f"),
+    0xCB: (8, ">d"),
+    0xCC: (1, _NO_FORMAT_USED),
+    0xCD: (2, ">H"),
+    0xCE: (4, ">I"),
+    0xCF: (8, ">Q"),
+    0xD0: (1, "b"),
+    0xD1: (2, ">h"),
+    0xD2: (4, ">i"),
+    0xD3: (8, ">q"),
+    0xD4: (1, "b1s", TYPE_EXT),
+    0xD5: (2, "b2s", TYPE_EXT),
+    0xD6: (4, "b4s", TYPE_EXT),
+    0xD7: (8, "b8s", TYPE_EXT),
+    0xD8: (16, "b16s", TYPE_EXT),
+    0xD9: (1, _NO_FORMAT_USED, TYPE_RAW),
+    0xDA: (2, ">H", TYPE_RAW),
+    0xDB: (4, ">I", TYPE_RAW),
+    0xDC: (2, ">H", TYPE_ARRAY),
+    0xDD: (4, ">I", TYPE_ARRAY),
+    0xDE: (2, ">H", TYPE_MAP),
+    0xDF: (4, ">I", TYPE_MAP),
+}
+
+
+class Unpacker:
+    """Streaming unpacker.
+
+    Arguments:
+
+    :param file_like:
+        File-like object having `.read(n)` method.
+        If specified, unpacker reads serialized data from it and `.feed()` is not usable.
+
+    :param int read_size:
+        Used as `file_like.read(read_size)`. (default: `min(16*1024, max_buffer_size)`)
+
+    :param bool use_list:
+        If true, unpack msgpack array to Python list.
+        Otherwise, unpack to Python tuple. (default: True)
+
+    :param bool raw:
+        If true, unpack msgpack raw to Python bytes.
+        Otherwise, unpack to Python str by decoding with UTF-8 encoding (default).
+
+    :param int timestamp:
+        Control how timestamp type is unpacked:
+
+            0 - Timestamp
+            1 - float  (Seconds from the EPOCH)
+            2 - int  (Nanoseconds from the EPOCH)
+            3 - datetime.datetime  (UTC).
+
+    :param bool strict_map_key:
+        If true (default), only str or bytes are accepted for map (dict) keys.
+
+    :param object_hook:
+        When specified, it should be callable.
+        Unpacker calls it with a dict argument after unpacking msgpack map.
+        (See also simplejson)
+
+    :param object_pairs_hook:
+        When specified, it should be callable.
+        Unpacker calls it with a list of key-value pairs after unpacking msgpack map.
+        (See also simplejson)
+
+    :param str unicode_errors:
+        The error handler for decoding unicode. (default: 'strict')
+        This option should be used only when you have msgpack data which
+        contains invalid UTF-8 string.
+
+    :param int max_buffer_size:
+        Limits size of data waiting unpacked.  0 means 2**32-1.
+        The default value is 100*1024*1024 (100MiB).
+        Raises `BufferFull` exception when it is insufficient.
+        You should set this parameter when unpacking data from untrusted source.
+
+    :param int max_str_len:
+        Deprecated, use *max_buffer_size* instead.
+        Limits max length of str. (default: max_buffer_size)
+
+    :param int max_bin_len:
+        Deprecated, use *max_buffer_size* instead.
+        Limits max length of bin. (default: max_buffer_size)
+
+    :param int max_array_len:
+        Limits max length of array.
+        (default: max_buffer_size)
+
+    :param int max_map_len:
+        Limits max length of map.
+        (default: max_buffer_size//2)
+
+    :param int max_ext_len:
+        Deprecated, use *max_buffer_size* instead.
+        Limits max size of ext type.  (default: max_buffer_size)
+
+    Example of streaming deserialize from file-like object::
+
+        unpacker = Unpacker(file_like)
+        for o in unpacker:
+            process(o)
+
+    Example of streaming deserialize from socket::
+
+        unpacker = Unpacker()
+        while True:
+            buf = sock.recv(1024**2)
+            if not buf:
+                break
+            unpacker.feed(buf)
+            for o in unpacker:
+                process(o)
+
+    Raises ``ExtraData`` when *packed* contains extra bytes.
+    Raises ``OutOfData`` when *packed* is incomplete.
+    Raises ``FormatError`` when *packed* is not valid msgpack.
+    Raises ``StackError`` when *packed* contains too nested.
+    Other exceptions can be raised during unpacking.
+    """
+
+    def __init__(
+        self,
+        file_like=None,
+        *,
+        read_size=0,
+        use_list=True,
+        raw=False,
+        timestamp=0,
+        strict_map_key=True,
+        object_hook=None,
+        object_pairs_hook=None,
+        list_hook=None,
+        unicode_errors=None,
+        max_buffer_size=100 * 1024 * 1024,
+        ext_hook=ExtType,
+        max_str_len=-1,
+        max_bin_len=-1,
+        max_array_len=-1,
+        max_map_len=-1,
+        max_ext_len=-1,
+    ):
+        if unicode_errors is None:
+            unicode_errors = "strict"
+
+        if file_like is None:
+            self._feeding = True
+        else:
+            if not callable(file_like.read):
+                raise TypeError("`file_like.read` must be callable")
+            self.file_like = file_like
+            self._feeding = False
+
+        #: array of bytes fed.
+        self._buffer = bytearray()
+        #: Which position we currently reads
+        self._buff_i = 0
+
+        # When Unpacker is used as an iterable, between the calls to next(),
+        # the buffer is not "consumed" completely, for efficiency sake.
+        # Instead, it is done sloppily.  To make sure we raise BufferFull at
+        # the correct moments, we have to keep track of how sloppy we were.
+        # Furthermore, when the buffer is incomplete (that is: in the case
+        # we raise an OutOfData) we need to rollback the buffer to the correct
+        # state, which _buf_checkpoint records.
+        self._buf_checkpoint = 0
+
+        if not max_buffer_size:
+            max_buffer_size = 2**31 - 1
+        if max_str_len == -1:
+            max_str_len = max_buffer_size
+        if max_bin_len == -1:
+            max_bin_len = max_buffer_size
+        if max_array_len == -1:
+            max_array_len = max_buffer_size
+        if max_map_len == -1:
+            max_map_len = max_buffer_size // 2
+        if max_ext_len == -1:
+            max_ext_len = max_buffer_size
+
+        self._max_buffer_size = max_buffer_size
+        if read_size > self._max_buffer_size:
+            raise ValueError("read_size must be smaller than max_buffer_size")
+        self._read_size = read_size or min(self._max_buffer_size, 16 * 1024)
+        self._raw = bool(raw)
+        self._strict_map_key = bool(strict_map_key)
+        self._unicode_errors = unicode_errors
+        self._use_list = use_list
+        if not (0 <= timestamp <= 3):
+            raise ValueError("timestamp must be 0..3")
+        self._timestamp = timestamp
+        self._list_hook = list_hook
+        self._object_hook = object_hook
+        self._object_pairs_hook = object_pairs_hook
+        self._ext_hook = ext_hook
+        self._max_str_len = max_str_len
+        self._max_bin_len = max_bin_len
+        self._max_array_len = max_array_len
+        self._max_map_len = max_map_len
+        self._max_ext_len = max_ext_len
+        self._stream_offset = 0
+
+        if list_hook is not None and not callable(list_hook):
+            raise TypeError("`list_hook` is not callable")
+        if object_hook is not None and not callable(object_hook):
+            raise TypeError("`object_hook` is not callable")
+        if object_pairs_hook is not None and not callable(object_pairs_hook):
+            raise TypeError("`object_pairs_hook` is not callable")
+        if object_hook is not None and object_pairs_hook is not None:
+            raise TypeError("object_pairs_hook and object_hook are mutually exclusive")
+        if not callable(ext_hook):
+            raise TypeError("`ext_hook` is not callable")
+
+    def feed(self, next_bytes):
+        assert self._feeding
+        view = _get_data_from_buffer(next_bytes)
+        if len(self._buffer) - self._buff_i + len(view) > self._max_buffer_size:
+            raise BufferFull
+
+        # Strip buffer before checkpoint before reading file.
+        if self._buf_checkpoint > 0:
+            del self._buffer[: self._buf_checkpoint]
+            self._buff_i -= self._buf_checkpoint
+            self._buf_checkpoint = 0
+
+        # Use extend here: INPLACE_ADD += doesn't reliably typecast memoryview in jython
+        self._buffer.extend(view)
+        view.release()
+
+    def _consume(self):
+        """Gets rid of the used parts of the buffer."""
+        self._stream_offset += self._buff_i - self._buf_checkpoint
+        self._buf_checkpoint = self._buff_i
+
+    def _got_extradata(self):
+        return self._buff_i < len(self._buffer)
+
+    def _get_extradata(self):
+        return self._buffer[self._buff_i :]
+
+    def read_bytes(self, n):
+        ret = self._read(n, raise_outofdata=False)
+        self._consume()
+        return ret
+
+    def _read(self, n, raise_outofdata=True):
+        # (int) -> bytearray
+        self._reserve(n, raise_outofdata=raise_outofdata)
+        i = self._buff_i
+        ret = self._buffer[i : i + n]
+        self._buff_i = i + len(ret)
+        return ret
+
+    def _reserve(self, n, raise_outofdata=True):
+        remain_bytes = len(self._buffer) - self._buff_i - n
+
+        # Fast path: buffer has n bytes already
+        if remain_bytes >= 0:
+            return
+
+        if self._feeding:
+            self._buff_i = self._buf_checkpoint
+            raise OutOfData
+
+        # Strip buffer before checkpoint before reading file.
+        if self._buf_checkpoint > 0:
+            del self._buffer[: self._buf_checkpoint]
+            self._buff_i -= self._buf_checkpoint
+            self._buf_checkpoint = 0
+
+        # Read from file
+        remain_bytes = -remain_bytes
+        if remain_bytes + len(self._buffer) > self._max_buffer_size:
+            raise BufferFull
+        while remain_bytes > 0:
+            to_read_bytes = max(self._read_size, remain_bytes)
+            read_data = self.file_like.read(to_read_bytes)
+            if not read_data:
+                break
+            assert isinstance(read_data, bytes)
+            self._buffer += read_data
+            remain_bytes -= len(read_data)
+
+        if len(self._buffer) < n + self._buff_i and raise_outofdata:
+            self._buff_i = 0  # rollback
+            raise OutOfData
+
+    def _read_header(self):
+        typ = TYPE_IMMEDIATE
+        n = 0
+        obj = None
+        self._reserve(1)
+        b = self._buffer[self._buff_i]
+        self._buff_i += 1
+        if b & 0b10000000 == 0:
+            obj = b
+        elif b & 0b11100000 == 0b11100000:
+            obj = -1 - (b ^ 0xFF)
+        elif b & 0b11100000 == 0b10100000:
+            n = b & 0b00011111
+            typ = TYPE_RAW
+            if n > self._max_str_len:
+                raise ValueError(f"{n} exceeds max_str_len({self._max_str_len})")
+            obj = self._read(n)
+        elif b & 0b11110000 == 0b10010000:
+            n = b & 0b00001111
+            typ = TYPE_ARRAY
+            if n > self._max_array_len:
+                raise ValueError(f"{n} exceeds max_array_len({self._max_array_len})")
+        elif b & 0b11110000 == 0b10000000:
+            n = b & 0b00001111
+            typ = TYPE_MAP
+            if n > self._max_map_len:
+                raise ValueError(f"{n} exceeds max_map_len({self._max_map_len})")
+        elif b == 0xC0:
+            obj = None
+        elif b == 0xC2:
+            obj = False
+        elif b == 0xC3:
+            obj = True
+        elif 0xC4 <= b <= 0xC6:
+            size, fmt, typ = _MSGPACK_HEADERS[b]
+            self._reserve(size)
+            if len(fmt) > 0:
+                n = struct.unpack_from(fmt, self._buffer, self._buff_i)[0]
+            else:
+                n = self._buffer[self._buff_i]
+            self._buff_i += size
+            if n > self._max_bin_len:
+                raise ValueError(f"{n} exceeds max_bin_len({self._max_bin_len})")
+            obj = self._read(n)
+        elif 0xC7 <= b <= 0xC9:
+            size, fmt, typ = _MSGPACK_HEADERS[b]
+            self._reserve(size)
+            L, n = struct.unpack_from(fmt, self._buffer, self._buff_i)
+            self._buff_i += size
+            if L > self._max_ext_len:
+                raise ValueError(f"{L} exceeds max_ext_len({self._max_ext_len})")
+            obj = self._read(L)
+        elif 0xCA <= b <= 0xD3:
+            size, fmt = _MSGPACK_HEADERS[b]
+            self._reserve(size)
+            if len(fmt) > 0:
+                obj = struct.unpack_from(fmt, self._buffer, self._buff_i)[0]
+            else:
+                obj = self._buffer[self._buff_i]
+            self._buff_i += size
+        elif 0xD4 <= b <= 0xD8:
+            size, fmt, typ = _MSGPACK_HEADERS[b]
+            if self._max_ext_len < size:
+                raise ValueError(f"{size} exceeds max_ext_len({self._max_ext_len})")
+            self._reserve(size + 1)
+            n, obj = struct.unpack_from(fmt, self._buffer, self._buff_i)
+            self._buff_i += size + 1
+        elif 0xD9 <= b <= 0xDB:
+            size, fmt, typ = _MSGPACK_HEADERS[b]
+            self._reserve(size)
+            if len(fmt) > 0:
+                (n,) = struct.unpack_from(fmt, self._buffer, self._buff_i)
+            else:
+                n = self._buffer[self._buff_i]
+            self._buff_i += size
+            if n > self._max_str_len:
+                raise ValueError(f"{n} exceeds max_str_len({self._max_str_len})")
+            obj = self._read(n)
+        elif 0xDC <= b <= 0xDD:
+            size, fmt, typ = _MSGPACK_HEADERS[b]
+            self._reserve(size)
+            (n,) = struct.unpack_from(fmt, self._buffer, self._buff_i)
+            self._buff_i += size
+            if n > self._max_array_len:
+                raise ValueError(f"{n} exceeds max_array_len({self._max_array_len})")
+        elif 0xDE <= b <= 0xDF:
+            size, fmt, typ = _MSGPACK_HEADERS[b]
+            self._reserve(size)
+            (n,) = struct.unpack_from(fmt, self._buffer, self._buff_i)
+            self._buff_i += size
+            if n > self._max_map_len:
+                raise ValueError(f"{n} exceeds max_map_len({self._max_map_len})")
+        else:
+            raise FormatError("Unknown header: 0x%x" % b)
+        return typ, n, obj
+
+    def _unpack(self, execute=EX_CONSTRUCT):
+        typ, n, obj = self._read_header()
+
+        if execute == EX_READ_ARRAY_HEADER:
+            if typ != TYPE_ARRAY:
+                raise ValueError("Expected array")
+            return n
+        if execute == EX_READ_MAP_HEADER:
+            if typ != TYPE_MAP:
+                raise ValueError("Expected map")
+            return n
+        # TODO should we eliminate the recursion?
+        if typ == TYPE_ARRAY:
+            if execute == EX_SKIP:
+                for i in range(n):
+                    # TODO check whether we need to call `list_hook`
+                    self._unpack(EX_SKIP)
+                return
+            ret = newlist_hint(n)
+            for i in range(n):
+                ret.append(self._unpack(EX_CONSTRUCT))
+            if self._list_hook is not None:
+                ret = self._list_hook(ret)
+            # TODO is the interaction between `list_hook` and `use_list` ok?
+            return ret if self._use_list else tuple(ret)
+        if typ == TYPE_MAP:
+            if execute == EX_SKIP:
+                for i in range(n):
+                    # TODO check whether we need to call hooks
+                    self._unpack(EX_SKIP)
+                    self._unpack(EX_SKIP)
+                return
+            if self._object_pairs_hook is not None:
+                ret = self._object_pairs_hook(
+                    (self._unpack(EX_CONSTRUCT), self._unpack(EX_CONSTRUCT)) for _ in range(n)
+                )
+            else:
+                ret = {}
+                for _ in range(n):
+                    key = self._unpack(EX_CONSTRUCT)
+                    if self._strict_map_key and type(key) not in (str, bytes):
+                        raise ValueError("%s is not allowed for map key" % str(type(key)))
+                    if isinstance(key, str):
+                        key = sys.intern(key)
+                    ret[key] = self._unpack(EX_CONSTRUCT)
+                if self._object_hook is not None:
+                    ret = self._object_hook(ret)
+            return ret
+        if execute == EX_SKIP:
+            return
+        if typ == TYPE_RAW:
+            if self._raw:
+                obj = bytes(obj)
+            else:
+                obj = obj.decode("utf_8", self._unicode_errors)
+            return obj
+        if typ == TYPE_BIN:
+            return bytes(obj)
+        if typ == TYPE_EXT:
+            if n == -1:  # timestamp
+                ts = Timestamp.from_bytes(bytes(obj))
+                if self._timestamp == 1:
+                    return ts.to_unix()
+                elif self._timestamp == 2:
+                    return ts.to_unix_nano()
+                elif self._timestamp == 3:
+                    return ts.to_datetime()
+                else:
+                    return ts
+            else:
+                return self._ext_hook(n, bytes(obj))
+        assert typ == TYPE_IMMEDIATE
+        return obj
+
+    def __iter__(self):
+        return self
+
+    def __next__(self):
+        try:
+            ret = self._unpack(EX_CONSTRUCT)
+            self._consume()
+            return ret
+        except OutOfData:
+            self._consume()
+            raise StopIteration
+        except RecursionError:
+            raise StackError
+
+    next = __next__
+
+    def skip(self):
+        self._unpack(EX_SKIP)
+        self._consume()
+
+    def unpack(self):
+        try:
+            ret = self._unpack(EX_CONSTRUCT)
+        except RecursionError:
+            raise StackError
+        self._consume()
+        return ret
+
+    def read_array_header(self):
+        ret = self._unpack(EX_READ_ARRAY_HEADER)
+        self._consume()
+        return ret
+
+    def read_map_header(self):
+        ret = self._unpack(EX_READ_MAP_HEADER)
+        self._consume()
+        return ret
+
+    def tell(self):
+        return self._stream_offset
+
+
+class Packer:
+    """
+    MessagePack Packer
+
+    Usage::
+
+        packer = Packer()
+        astream.write(packer.pack(a))
+        astream.write(packer.pack(b))
+
+    Packer's constructor has some keyword arguments:
+
+    :param default:
+        When specified, it should be callable.
+        Convert user type to builtin type that Packer supports.
+        See also simplejson's document.
+
+    :param bool use_single_float:
+        Use single precision float type for float. (default: False)
+
+    :param bool autoreset:
+        Reset buffer after each pack and return its content as `bytes`. (default: True).
+        If set this to false, use `bytes()` to get content and `.reset()` to clear buffer.
+
+    :param bool use_bin_type:
+        Use bin type introduced in msgpack spec 2.0 for bytes.
+        It also enables str8 type for unicode. (default: True)
+
+    :param bool strict_types:
+        If set to true, types will be checked to be exact. Derived classes
+        from serializable types will not be serialized and will be
+        treated as unsupported type and forwarded to default.
+        Additionally tuples will not be serialized as lists.
+        This is useful when trying to implement accurate serialization
+        for python types.
+
+    :param bool datetime:
+        If set to true, datetime with tzinfo is packed into Timestamp type.
+        Note that the tzinfo is stripped in the timestamp.
+        You can get UTC datetime with `timestamp=3` option of the Unpacker.
+
+    :param str unicode_errors:
+        The error handler for encoding unicode. (default: 'strict')
+        DO NOT USE THIS!!  This option is kept for very specific usage.
+
+    :param int buf_size:
+        Internal buffer size. This option is used only for C implementation.
+    """
+
+    def __init__(
+        self,
+        *,
+        default=None,
+        use_single_float=False,
+        autoreset=True,
+        use_bin_type=True,
+        strict_types=False,
+        datetime=False,
+        unicode_errors=None,
+        buf_size=None,
+    ):
+        self._strict_types = strict_types
+        self._use_float = use_single_float
+        self._autoreset = autoreset
+        self._use_bin_type = use_bin_type
+        self._buffer = BytesIO()
+        self._datetime = bool(datetime)
+        self._unicode_errors = unicode_errors or "strict"
+        if default is not None and not callable(default):
+            raise TypeError("default must be callable")
+        self._default = default
+
+    def _pack(
+        self,
+        obj,
+        nest_limit=DEFAULT_RECURSE_LIMIT,
+        check=isinstance,
+        check_type_strict=_check_type_strict,
+    ):
+        default_used = False
+        if self._strict_types:
+            check = check_type_strict
+            list_types = list
+        else:
+            list_types = (list, tuple)
+        while True:
+            if nest_limit < 0:
+                raise ValueError("recursion limit exceeded")
+            if obj is None:
+                return self._buffer.write(b"\xc0")
+            if check(obj, bool):
+                if obj:
+                    return self._buffer.write(b"\xc3")
+                return self._buffer.write(b"\xc2")
+            if check(obj, int):
+                if 0 <= obj < 0x80:
+                    return self._buffer.write(struct.pack("B", obj))
+                if -0x20 <= obj < 0:
+                    return self._buffer.write(struct.pack("b", obj))
+                if 0x80 <= obj <= 0xFF:
+                    return self._buffer.write(struct.pack("BB", 0xCC, obj))
+                if -0x80 <= obj < 0:
+                    return self._buffer.write(struct.pack(">Bb", 0xD0, obj))
+                if 0xFF < obj <= 0xFFFF:
+                    return self._buffer.write(struct.pack(">BH", 0xCD, obj))
+                if -0x8000 <= obj < -0x80:
+                    return self._buffer.write(struct.pack(">Bh", 0xD1, obj))
+                if 0xFFFF < obj <= 0xFFFFFFFF:
+                    return self._buffer.write(struct.pack(">BI", 0xCE, obj))
+                if -0x80000000 <= obj < -0x8000:
+                    return self._buffer.write(struct.pack(">Bi", 0xD2, obj))
+                if 0xFFFFFFFF < obj <= 0xFFFFFFFFFFFFFFFF:
+                    return self._buffer.write(struct.pack(">BQ", 0xCF, obj))
+                if -0x8000000000000000 <= obj < -0x80000000:
+                    return self._buffer.write(struct.pack(">Bq", 0xD3, obj))
+                if not default_used and self._default is not None:
+                    obj = self._default(obj)
+                    default_used = True
+                    continue
+                raise OverflowError("Integer value out of range")
+            if check(obj, (bytes, bytearray)):
+                n = len(obj)
+                if n >= 2**32:
+                    raise ValueError("%s is too large" % type(obj).__name__)
+                self._pack_bin_header(n)
+                return self._buffer.write(obj)
+            if check(obj, str):
+                obj = obj.encode("utf-8", self._unicode_errors)
+                n = len(obj)
+                if n >= 2**32:
+                    raise ValueError("String is too large")
+                self._pack_raw_header(n)
+                return self._buffer.write(obj)
+            if check(obj, memoryview):
+                n = obj.nbytes
+                if n >= 2**32:
+                    raise ValueError("Memoryview is too large")
+                self._pack_bin_header(n)
+                return self._buffer.write(obj)
+            if check(obj, float):
+                if self._use_float:
+                    return self._buffer.write(struct.pack(">Bf", 0xCA, obj))
+                return self._buffer.write(struct.pack(">Bd", 0xCB, obj))
+            if check(obj, (ExtType, Timestamp)):
+                if check(obj, Timestamp):
+                    code = -1
+                    data = obj.to_bytes()
+                else:
+                    code = obj.code
+                    data = obj.data
+                assert isinstance(code, int)
+                assert isinstance(data, bytes)
+                L = len(data)
+                if L == 1:
+                    self._buffer.write(b"\xd4")
+                elif L == 2:
+                    self._buffer.write(b"\xd5")
+                elif L == 4:
+                    self._buffer.write(b"\xd6")
+                elif L == 8:
+                    self._buffer.write(b"\xd7")
+                elif L == 16:
+                    self._buffer.write(b"\xd8")
+                elif L <= 0xFF:
+                    self._buffer.write(struct.pack(">BB", 0xC7, L))
+                elif L <= 0xFFFF:
+                    self._buffer.write(struct.pack(">BH", 0xC8, L))
+                else:
+                    self._buffer.write(struct.pack(">BI", 0xC9, L))
+                self._buffer.write(struct.pack("b", code))
+                self._buffer.write(data)
+                return
+            if check(obj, list_types):
+                n = len(obj)
+                self._pack_array_header(n)
+                for i in range(n):
+                    self._pack(obj[i], nest_limit - 1)
+                return
+            if check(obj, dict):
+                return self._pack_map_pairs(len(obj), obj.items(), nest_limit - 1)
+
+            if self._datetime and check(obj, _DateTime) and obj.tzinfo is not None:
+                obj = Timestamp.from_datetime(obj)
+                default_used = 1
+                continue
+
+            if not default_used and self._default is not None:
+                obj = self._default(obj)
+                default_used = 1
+                continue
+
+            if self._datetime and check(obj, _DateTime):
+                raise ValueError(f"Cannot serialize {obj!r} where tzinfo=None")
+
+            raise TypeError(f"Cannot serialize {obj!r}")
+
+    def pack(self, obj):
+        try:
+            self._pack(obj)
+        except:
+            self._buffer = BytesIO()  # force reset
+            raise
+        if self._autoreset:
+            ret = self._buffer.getvalue()
+            self._buffer = BytesIO()
+            return ret
+
+    def pack_map_pairs(self, pairs):
+        self._pack_map_pairs(len(pairs), pairs)
+        if self._autoreset:
+            ret = self._buffer.getvalue()
+            self._buffer = BytesIO()
+            return ret
+
+    def pack_array_header(self, n):
+        if n >= 2**32:
+            raise ValueError
+        self._pack_array_header(n)
+        if self._autoreset:
+            ret = self._buffer.getvalue()
+            self._buffer = BytesIO()
+            return ret
+
+    def pack_map_header(self, n):
+        if n >= 2**32:
+            raise ValueError
+        self._pack_map_header(n)
+        if self._autoreset:
+            ret = self._buffer.getvalue()
+            self._buffer = BytesIO()
+            return ret
+
+    def pack_ext_type(self, typecode, data):
+        if not isinstance(typecode, int):
+            raise TypeError("typecode must have int type.")
+        if not 0 <= typecode <= 127:
+            raise ValueError("typecode should be 0-127")
+        if not isinstance(data, bytes):
+            raise TypeError("data must have bytes type")
+        L = len(data)
+        if L > 0xFFFFFFFF:
+            raise ValueError("Too large data")
+        if L == 1:
+            self._buffer.write(b"\xd4")
+        elif L == 2:
+            self._buffer.write(b"\xd5")
+        elif L == 4:
+            self._buffer.write(b"\xd6")
+        elif L == 8:
+            self._buffer.write(b"\xd7")
+        elif L == 16:
+            self._buffer.write(b"\xd8")
+        elif L <= 0xFF:
+            self._buffer.write(b"\xc7" + struct.pack("B", L))
+        elif L <= 0xFFFF:
+            self._buffer.write(b"\xc8" + struct.pack(">H", L))
+        else:
+            self._buffer.write(b"\xc9" + struct.pack(">I", L))
+        self._buffer.write(struct.pack("B", typecode))
+        self._buffer.write(data)
+
+    def _pack_array_header(self, n):
+        if n <= 0x0F:
+            return self._buffer.write(struct.pack("B", 0x90 + n))
+        if n <= 0xFFFF:
+            return self._buffer.write(struct.pack(">BH", 0xDC, n))
+        if n <= 0xFFFFFFFF:
+            return self._buffer.write(struct.pack(">BI", 0xDD, n))
+        raise ValueError("Array is too large")
+
+    def _pack_map_header(self, n):
+        if n <= 0x0F:
+            return self._buffer.write(struct.pack("B", 0x80 + n))
+        if n <= 0xFFFF:
+            return self._buffer.write(struct.pack(">BH", 0xDE, n))
+        if n <= 0xFFFFFFFF:
+            return self._buffer.write(struct.pack(">BI", 0xDF, n))
+        raise ValueError("Dict is too large")
+
+    def _pack_map_pairs(self, n, pairs, nest_limit=DEFAULT_RECURSE_LIMIT):
+        self._pack_map_header(n)
+        for k, v in pairs:
+            self._pack(k, nest_limit - 1)
+            self._pack(v, nest_limit - 1)
+
+    def _pack_raw_header(self, n):
+        if n <= 0x1F:
+            self._buffer.write(struct.pack("B", 0xA0 + n))
+        elif self._use_bin_type and n <= 0xFF:
+            self._buffer.write(struct.pack(">BB", 0xD9, n))
+        elif n <= 0xFFFF:
+            self._buffer.write(struct.pack(">BH", 0xDA, n))
+        elif n <= 0xFFFFFFFF:
+            self._buffer.write(struct.pack(">BI", 0xDB, n))
+        else:
+            raise ValueError("Raw is too large")
+
+    def _pack_bin_header(self, n):
+        if not self._use_bin_type:
+            return self._pack_raw_header(n)
+        elif n <= 0xFF:
+            return self._buffer.write(struct.pack(">BB", 0xC4, n))
+        elif n <= 0xFFFF:
+            return self._buffer.write(struct.pack(">BH", 0xC5, n))
+        elif n <= 0xFFFFFFFF:
+            return self._buffer.write(struct.pack(">BI", 0xC6, n))
+        else:
+            raise ValueError("Bin is too large")
+
+    def bytes(self):
+        """Return internal buffer contents as bytes object"""
+        return self._buffer.getvalue()
+
+    def reset(self):
+        """Reset internal buffer.
+
+        This method is useful only when autoreset=False.
+        """
+        self._buffer = BytesIO()
+
+    def getbuffer(self):
+        """Return view of internal buffer."""
+        if _USING_STRINGBUILDER:
+            return memoryview(self.bytes())
+        else:
+            return self._buffer.getbuffer()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/LICENSE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/LICENSE
new file mode 100644
index 0000000000000000000000000000000000000000..6f62d44e4ef733c0e713afcd2371fed7f2b3de67
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/LICENSE
@@ -0,0 +1,3 @@
+This software is made available under the terms of *either* of the licenses
+found in LICENSE.APACHE or LICENSE.BSD. Contributions to this software is made
+under the terms of *both* these licenses.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/LICENSE.APACHE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/LICENSE.APACHE
new file mode 100644
index 0000000000000000000000000000000000000000..f433b1a53f5b830a205fd2df78e2b34974656c7b
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/LICENSE.APACHE
@@ -0,0 +1,177 @@
+
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
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+   5. Submission of Contributions. Unless You explicitly state otherwise,
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+   6. Trademarks. This License does not grant permission to use the trade
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+   7. Disclaimer of Warranty. Unless required by applicable law or
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+      Contributor provides its Contributions) on an "AS IS" BASIS,
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+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
+      negligent acts) or agreed to in writing, shall any Contributor be
+      liable to You for damages, including any direct, indirect, special,
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+      other commercial damages or losses), even if such Contributor
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+   9. Accepting Warranty or Additional Liability. While redistributing
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+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
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+      of your accepting any such warranty or additional liability.
+
+   END OF TERMS AND CONDITIONS
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/LICENSE.BSD b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/LICENSE.BSD
new file mode 100644
index 0000000000000000000000000000000000000000..42ce7b75c92fb01a3f6ed17eea363f756b7da582
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/LICENSE.BSD
@@ -0,0 +1,23 @@
+Copyright (c) Donald Stufft and individual contributors.
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+    1. Redistributions of source code must retain the above copyright notice,
+       this list of conditions and the following disclaimer.
+
+    2. Redistributions in binary form must reproduce the above copyright
+       notice, this list of conditions and the following disclaimer in the
+       documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..a6bdf59cd713d41593ba3da47032a831a1be1504
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/__init__.py
@@ -0,0 +1,15 @@
+# This file is dual licensed under the terms of the Apache License, Version
+# 2.0, and the BSD License. See the LICENSE file in the root of this repository
+# for complete details.
+
+__title__ = "packaging"
+__summary__ = "Core utilities for Python packages"
+__uri__ = "https://github.com/pypa/packaging"
+
+__version__ = "26.2"
+
+__author__ = "Donald Stufft and individual contributors"
+__email__ = "donald@stufft.io"
+
+__license__ = "BSD-2-Clause or Apache-2.0"
+__copyright__ = f"2014 {__author__}"
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_elffile.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_elffile.py
new file mode 100644
index 0000000000000000000000000000000000000000..497b0645217512ae2ba8ff61341fd2bbfa3648cd
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_elffile.py
@@ -0,0 +1,108 @@
+"""
+ELF file parser.
+
+This provides a class ``ELFFile`` that parses an ELF executable in a similar
+interface to ``ZipFile``. Only the read interface is implemented.
+
+ELF header: https://refspecs.linuxfoundation.org/elf/gabi4+/ch4.eheader.html
+"""
+
+from __future__ import annotations
+
+import enum
+import os
+import struct
+from typing import IO
+
+
+class ELFInvalid(ValueError):
+    pass
+
+
+class EIClass(enum.IntEnum):
+    C32 = 1
+    C64 = 2
+
+
+class EIData(enum.IntEnum):
+    Lsb = 1
+    Msb = 2
+
+
+class EMachine(enum.IntEnum):
+    I386 = 3
+    S390 = 22
+    Arm = 40
+    X8664 = 62
+    AArc64 = 183
+
+
+class ELFFile:
+    """
+    Representation of an ELF executable.
+    """
+
+    def __init__(self, f: IO[bytes]) -> None:
+        self._f = f
+
+        try:
+            ident = self._read("16B")
+        except struct.error as e:
+            raise ELFInvalid("unable to parse identification") from e
+        magic = bytes(ident[:4])
+        if magic != b"\x7fELF":
+            raise ELFInvalid(f"invalid magic: {magic!r}")
+
+        self.capacity = ident[4]  # Format for program header (bitness).
+        self.encoding = ident[5]  # Data structure encoding (endianness).
+
+        try:
+            # e_fmt: Format for program header.
+            # p_fmt: Format for section header.
+            # p_idx: Indexes to find p_type, p_offset, and p_filesz.
+            e_fmt, self._p_fmt, self._p_idx = {
+                (1, 1): ("HHIIIIIHHH", ">IIIIIIII", (0, 1, 4)),  # 32-bit MSB.
+                (2, 1): ("HHIQQQIHHH", ">IIQQQQQQ", (0, 2, 5)),  # 64-bit MSB.
+            }[(self.capacity, self.encoding)]
+        except KeyError as e:
+            raise ELFInvalid(
+                f"unrecognized capacity ({self.capacity}) or encoding ({self.encoding})"
+            ) from e
+
+        try:
+            (
+                _,
+                self.machine,  # Architecture type.
+                _,
+                _,
+                self._e_phoff,  # Offset of program header.
+                _,
+                self.flags,  # Processor-specific flags.
+                _,
+                self._e_phentsize,  # Size of section.
+                self._e_phnum,  # Number of sections.
+            ) = self._read(e_fmt)
+        except struct.error as e:
+            raise ELFInvalid("unable to parse machine and section information") from e
+
+    def _read(self, fmt: str) -> tuple[int, ...]:
+        return struct.unpack(fmt, self._f.read(struct.calcsize(fmt)))
+
+    @property
+    def interpreter(self) -> str | None:
+        """
+        The path recorded in the ``PT_INTERP`` section header.
+        """
+        for index in range(self._e_phnum):
+            self._f.seek(self._e_phoff + self._e_phentsize * index)
+            try:
+                data = self._read(self._p_fmt)
+            except struct.error:
+                continue
+            if data[self._p_idx[0]] != 3:  # Not PT_INTERP.
+                continue
+            self._f.seek(data[self._p_idx[1]])
+            return os.fsdecode(self._f.read(data[self._p_idx[2]])).strip("\0")
+        return None
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_manylinux.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_manylinux.py
new file mode 100644
index 0000000000000000000000000000000000000000..0e79e8a882be74fe76c80ccf49a9cd68fb636fd4
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_manylinux.py
@@ -0,0 +1,262 @@
+from __future__ import annotations
+
+import collections
+import contextlib
+import functools
+import os
+import re
+import sys
+import warnings
+from typing import Generator, Iterator, NamedTuple, Sequence
+
+from ._elffile import EIClass, EIData, ELFFile, EMachine
+
+EF_ARM_ABIMASK = 0xFF000000
+EF_ARM_ABI_VER5 = 0x05000000
+EF_ARM_ABI_FLOAT_HARD = 0x00000400
+
+_ALLOWED_ARCHS = {
+    "x86_64",
+    "aarch64",
+    "ppc64",
+    "ppc64le",
+    "s390x",
+    "loongarch64",
+    "riscv64",
+}
+
+
+# `os.PathLike` not a generic type until Python 3.9, so sticking with `str`
+# as the type for `path` until then.
+@contextlib.contextmanager
+def _parse_elf(path: str) -> Generator[ELFFile | None, None, None]:
+    try:
+        with open(path, "rb") as f:
+            yield ELFFile(f)
+    except (OSError, TypeError, ValueError):
+        yield None
+
+
+def _is_linux_armhf(executable: str) -> bool:
+    # hard-float ABI can be detected from the ELF header of the running
+    # process
+    # https://static.docs.arm.com/ihi0044/g/aaelf32.pdf
+    with _parse_elf(executable) as f:
+        return (
+            f is not None
+            and f.capacity == EIClass.C32
+            and f.encoding == EIData.Lsb
+            and f.machine == EMachine.Arm
+            and f.flags & EF_ARM_ABIMASK == EF_ARM_ABI_VER5
+            and f.flags & EF_ARM_ABI_FLOAT_HARD == EF_ARM_ABI_FLOAT_HARD
+        )
+
+
+def _is_linux_i686(executable: str) -> bool:
+    with _parse_elf(executable) as f:
+        return (
+            f is not None
+            and f.capacity == EIClass.C32
+            and f.encoding == EIData.Lsb
+            and f.machine == EMachine.I386
+        )
+
+
+def _have_compatible_abi(executable: str, archs: Sequence[str]) -> bool:
+    if "armv7l" in archs:
+        return _is_linux_armhf(executable)
+    if "i686" in archs:
+        return _is_linux_i686(executable)
+    return any(arch in _ALLOWED_ARCHS for arch in archs)
+
+
+# If glibc ever changes its major version, we need to know what the last
+# minor version was, so we can build the complete list of all versions.
+# For now, guess what the highest minor version might be, assume it will
+# be 50 for testing. Once this actually happens, update the dictionary
+# with the actual value.
+_LAST_GLIBC_MINOR: dict[int, int] = collections.defaultdict(lambda: 50)
+
+
+class _GLibCVersion(NamedTuple):
+    major: int
+    minor: int
+
+
+def _glibc_version_string_confstr() -> str | None:
+    """
+    Primary implementation of glibc_version_string using os.confstr.
+    """
+    # os.confstr is quite a bit faster than ctypes.DLL. It's also less likely
+    # to be broken or missing. This strategy is used in the standard library
+    # platform module.
+    # https://github.com/python/cpython/blob/fcf1d003bf4f0100c/Lib/platform.py#L175-L183
+    try:
+        # Should be a string like "glibc 2.17".
+        version_string: str | None = os.confstr("CS_GNU_LIBC_VERSION")
+        assert version_string is not None
+        _, version = version_string.rsplit()
+    except (AssertionError, AttributeError, OSError, ValueError):
+        # os.confstr() or CS_GNU_LIBC_VERSION not available (or a bad value)...
+        return None
+    return version
+
+
+def _glibc_version_string_ctypes() -> str | None:
+    """
+    Fallback implementation of glibc_version_string using ctypes.
+    """
+    try:
+        import ctypes  # noqa: PLC0415
+    except ImportError:
+        return None
+
+    # ctypes.CDLL(None) internally calls dlopen(NULL), and as the dlopen
+    # manpage says, "If filename is NULL, then the returned handle is for the
+    # main program". This way we can let the linker do the work to figure out
+    # which libc our process is actually using.
+    #
+    # We must also handle the special case where the executable is not a
+    # dynamically linked executable. This can occur when using musl libc,
+    # for example. In this situation, dlopen() will error, leading to an
+    # OSError. Interestingly, at least in the case of musl, there is no
+    # errno set on the OSError. The single string argument used to construct
+    # OSError comes from libc itself and is therefore not portable to
+    # hard code here. In any case, failure to call dlopen() means we
+    # can proceed, so we bail on our attempt.
+    try:
+        process_namespace = ctypes.CDLL(None)
+    except OSError:
+        return None
+
+    try:
+        gnu_get_libc_version = process_namespace.gnu_get_libc_version
+    except AttributeError:
+        # Symbol doesn't exist -> therefore, we are not linked to
+        # glibc.
+        return None
+
+    # Call gnu_get_libc_version, which returns a string like "2.5"
+    gnu_get_libc_version.restype = ctypes.c_char_p
+    version_str: str = gnu_get_libc_version()
+    # py2 / py3 compatibility:
+    if not isinstance(version_str, str):
+        version_str = version_str.decode("ascii")
+
+    return version_str
+
+
+def _glibc_version_string() -> str | None:
+    """Returns glibc version string, or None if not using glibc."""
+    return _glibc_version_string_confstr() or _glibc_version_string_ctypes()
+
+
+def _parse_glibc_version(version_str: str) -> _GLibCVersion:
+    """Parse glibc version.
+
+    We use a regexp instead of str.split because we want to discard any
+    random junk that might come after the minor version -- this might happen
+    in patched/forked versions of glibc (e.g. Linaro's version of glibc
+    uses version strings like "2.20-2014.11"). See gh-3588.
+    """
+    m = re.match(r"(?P[0-9]+)\.(?P[0-9]+)", version_str)
+    if not m:
+        warnings.warn(
+            f"Expected glibc version with 2 components major.minor, got: {version_str}",
+            RuntimeWarning,
+            stacklevel=2,
+        )
+        return _GLibCVersion(-1, -1)
+    return _GLibCVersion(int(m.group("major")), int(m.group("minor")))
+
+
+@functools.lru_cache
+def _get_glibc_version() -> _GLibCVersion:
+    version_str = _glibc_version_string()
+    if version_str is None:
+        return _GLibCVersion(-1, -1)
+    return _parse_glibc_version(version_str)
+
+
+# From PEP 513, PEP 600
+def _is_compatible(arch: str, version: _GLibCVersion) -> bool:
+    sys_glibc = _get_glibc_version()
+    if sys_glibc < version:
+        return False
+    # Check for presence of _manylinux module.
+    try:
+        import _manylinux  # noqa: PLC0415
+    except ImportError:
+        return True
+    if hasattr(_manylinux, "manylinux_compatible"):
+        result = _manylinux.manylinux_compatible(version[0], version[1], arch)
+        if result is not None:
+            return bool(result)
+        return True
+    if version == _GLibCVersion(2, 5) and hasattr(_manylinux, "manylinux1_compatible"):
+        return bool(_manylinux.manylinux1_compatible)
+    if version == _GLibCVersion(2, 12) and hasattr(
+        _manylinux, "manylinux2010_compatible"
+    ):
+        return bool(_manylinux.manylinux2010_compatible)
+    if version == _GLibCVersion(2, 17) and hasattr(
+        _manylinux, "manylinux2014_compatible"
+    ):
+        return bool(_manylinux.manylinux2014_compatible)
+    return True
+
+
+_LEGACY_MANYLINUX_MAP: dict[_GLibCVersion, str] = {
+    # CentOS 7 w/ glibc 2.17 (PEP 599)
+    _GLibCVersion(2, 17): "manylinux2014",
+    # CentOS 6 w/ glibc 2.12 (PEP 571)
+    _GLibCVersion(2, 12): "manylinux2010",
+    # CentOS 5 w/ glibc 2.5 (PEP 513)
+    _GLibCVersion(2, 5): "manylinux1",
+}
+
+
+def platform_tags(archs: Sequence[str]) -> Iterator[str]:
+    """Generate manylinux tags compatible to the current platform.
+
+    :param archs: Sequence of compatible architectures.
+        The first one shall be the closest to the actual architecture and be the part of
+        platform tag after the ``linux_`` prefix, e.g. ``x86_64``.
+        The ``linux_`` prefix is assumed as a prerequisite for the current platform to
+        be manylinux-compatible.
+
+    :returns: An iterator of compatible manylinux tags.
+    """
+    if not _have_compatible_abi(sys.executable, archs):
+        return
+    # Oldest glibc to be supported regardless of architecture is (2, 17).
+    too_old_glibc2 = _GLibCVersion(2, 16)
+    if set(archs) & {"x86_64", "i686"}:
+        # On x86/i686 also oldest glibc to be supported is (2, 5).
+        too_old_glibc2 = _GLibCVersion(2, 4)
+    current_glibc = _GLibCVersion(*_get_glibc_version())
+    glibc_max_list = [current_glibc]
+    # We can assume compatibility across glibc major versions.
+    # https://sourceware.org/bugzilla/show_bug.cgi?id=24636
+    #
+    # Build a list of maximum glibc versions so that we can
+    # output the canonical list of all glibc from current_glibc
+    # down to too_old_glibc2, including all intermediary versions.
+    for glibc_major in range(current_glibc.major - 1, 1, -1):
+        glibc_minor = _LAST_GLIBC_MINOR[glibc_major]
+        glibc_max_list.append(_GLibCVersion(glibc_major, glibc_minor))
+    for arch in archs:
+        for glibc_max in glibc_max_list:
+            if glibc_max.major == too_old_glibc2.major:
+                min_minor = too_old_glibc2.minor
+            else:
+                # For other glibc major versions oldest supported is (x, 0).
+                min_minor = -1
+            for glibc_minor in range(glibc_max.minor, min_minor, -1):
+                glibc_version = _GLibCVersion(glibc_max.major, glibc_minor)
+                if _is_compatible(arch, glibc_version):
+                    yield "manylinux_{}_{}_{}".format(*glibc_version, arch)
+
+                    # Handle the legacy manylinux1, manylinux2010, manylinux2014 tags.
+                    if legacy_tag := _LEGACY_MANYLINUX_MAP.get(glibc_version):
+                        yield f"{legacy_tag}_{arch}"
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_musllinux.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_musllinux.py
new file mode 100644
index 0000000000000000000000000000000000000000..4e8116a79ca80d60657542a23b4bbcbc3c518eaf
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_musllinux.py
@@ -0,0 +1,85 @@
+"""PEP 656 support.
+
+This module implements logic to detect if the currently running Python is
+linked against musl, and what musl version is used.
+"""
+
+from __future__ import annotations
+
+import functools
+import re
+import subprocess
+import sys
+from typing import Iterator, NamedTuple, Sequence
+
+from ._elffile import ELFFile
+
+
+class _MuslVersion(NamedTuple):
+    major: int
+    minor: int
+
+
+def _parse_musl_version(output: str) -> _MuslVersion | None:
+    lines = [n for n in (n.strip() for n in output.splitlines()) if n]
+    if len(lines) < 2 or lines[0][:4] != "musl":
+        return None
+    m = re.match(r"Version (\d+)\.(\d+)", lines[1])
+    if not m:
+        return None
+    return _MuslVersion(major=int(m.group(1)), minor=int(m.group(2)))
+
+
+@functools.lru_cache
+def _get_musl_version(executable: str) -> _MuslVersion | None:
+    """Detect currently-running musl runtime version.
+
+    This is done by checking the specified executable's dynamic linking
+    information, and invoking the loader to parse its output for a version
+    string. If the loader is musl, the output would be something like::
+
+        musl libc (x86_64)
+        Version 1.2.2
+        Dynamic Program Loader
+    """
+    try:
+        with open(executable, "rb") as f:
+            ld = ELFFile(f).interpreter
+    except (OSError, TypeError, ValueError):
+        return None
+    if ld is None or "musl" not in ld:
+        return None
+    proc = subprocess.run([ld], check=False, stderr=subprocess.PIPE, text=True)
+    return _parse_musl_version(proc.stderr)
+
+
+def platform_tags(archs: Sequence[str]) -> Iterator[str]:
+    """Generate musllinux tags compatible to the current platform.
+
+    :param archs: Sequence of compatible architectures.
+        The first one shall be the closest to the actual architecture and be the part of
+        platform tag after the ``linux_`` prefix, e.g. ``x86_64``.
+        The ``linux_`` prefix is assumed as a prerequisite for the current platform to
+        be musllinux-compatible.
+
+    :returns: An iterator of compatible musllinux tags.
+    """
+    sys_musl = _get_musl_version(sys.executable)
+    if sys_musl is None:  # Python not dynamically linked against musl.
+        return
+    for arch in archs:
+        for minor in range(sys_musl.minor, -1, -1):
+            yield f"musllinux_{sys_musl.major}_{minor}_{arch}"
+
+
+if __name__ == "__main__":  # pragma: no cover
+    import sysconfig
+
+    plat = sysconfig.get_platform()
+    assert plat.startswith("linux-"), "not linux"
+
+    print("plat:", plat)
+    print("musl:", _get_musl_version(sys.executable))
+    print("tags:", end=" ")
+    for t in platform_tags(re.sub(r"[.-]", "_", plat.split("-", 1)[-1])):
+        print(t, end="\n      ")
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_parser.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_parser.py
new file mode 100644
index 0000000000000000000000000000000000000000..d320269e1531d822003bde7a826ba24eecca3bae
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_parser.py
@@ -0,0 +1,393 @@
+"""Handwritten parser of dependency specifiers.
+
+The docstring for each __parse_* function contains EBNF-inspired grammar representing
+the implementation.
+"""
+
+from __future__ import annotations
+
+import ast
+from typing import List, Literal, NamedTuple, Sequence, Tuple, Union
+
+from ._tokenizer import DEFAULT_RULES, Tokenizer
+
+
+class Node:
+    __slots__ = ("value",)
+
+    def __init__(self, value: str) -> None:
+        self.value = value
+
+    def __str__(self) -> str:
+        return self.value
+
+    def __repr__(self) -> str:
+        return f"<{self.__class__.__name__}({self.value!r})>"
+
+    def serialize(self) -> str:
+        raise NotImplementedError
+
+    def __getstate__(self) -> str:
+        # Return just the value string for compactness and stability.
+        return self.value
+
+    def _restore_value(self, value: object) -> None:
+        if not isinstance(value, str):
+            raise TypeError(
+                f"Cannot restore {self.__class__.__name__} value from {value!r}"
+            )
+        self.value = value
+
+    def __setstate__(self, state: object) -> None:
+        if isinstance(state, str):
+            # New format (26.2+): just the value string.
+            self._restore_value(state)
+            return
+        if isinstance(state, tuple) and len(state) == 2:
+            # Old format (packaging <= 26.0, __slots__): (None, {slot: value}).
+            _, slot_dict = state
+            if isinstance(slot_dict, dict) and "value" in slot_dict:
+                self._restore_value(slot_dict["value"])
+                return
+        if isinstance(state, dict) and "value" in state:
+            # Old format (packaging <= 25.0, no __slots__): plain __dict__.
+            self._restore_value(state["value"])
+            return
+        raise TypeError(f"Cannot restore {self.__class__.__name__} from {state!r}")
+
+
+class Variable(Node):
+    __slots__ = ()
+
+    def serialize(self) -> str:
+        return str(self)
+
+
+class Value(Node):
+    __slots__ = ()
+
+    def serialize(self) -> str:
+        return f'"{self}"'
+
+
+class Op(Node):
+    __slots__ = ()
+
+    def serialize(self) -> str:
+        return str(self)
+
+
+MarkerLogical = Literal["and", "or"]
+MarkerVar = Union[Variable, Value]
+MarkerItem = Tuple[MarkerVar, Op, MarkerVar]
+MarkerAtom = Union[MarkerItem, Sequence["MarkerAtom"]]
+MarkerList = List[Union["MarkerList", MarkerAtom, MarkerLogical]]
+
+
+class ParsedRequirement(NamedTuple):
+    name: str
+    url: str
+    extras: list[str]
+    specifier: str
+    marker: MarkerList | None
+
+
+# --------------------------------------------------------------------------------------
+# Recursive descent parser for dependency specifier
+# --------------------------------------------------------------------------------------
+def parse_requirement(source: str) -> ParsedRequirement:
+    return _parse_requirement(Tokenizer(source, rules=DEFAULT_RULES))
+
+
+def _parse_requirement(tokenizer: Tokenizer) -> ParsedRequirement:
+    """
+    requirement = WS? IDENTIFIER WS? extras WS? requirement_details
+    """
+    tokenizer.consume("WS")
+
+    name_token = tokenizer.expect(
+        "IDENTIFIER", expected="package name at the start of dependency specifier"
+    )
+    name = name_token.text
+    tokenizer.consume("WS")
+
+    extras = _parse_extras(tokenizer)
+    tokenizer.consume("WS")
+
+    url, specifier, marker = _parse_requirement_details(tokenizer)
+    tokenizer.expect("END", expected="end of dependency specifier")
+
+    return ParsedRequirement(name, url, extras, specifier, marker)
+
+
+def _parse_requirement_details(
+    tokenizer: Tokenizer,
+) -> tuple[str, str, MarkerList | None]:
+    """
+    requirement_details = AT URL (WS requirement_marker?)?
+                        | specifier WS? (requirement_marker)?
+    """
+
+    specifier = ""
+    url = ""
+    marker = None
+
+    if tokenizer.check("AT"):
+        tokenizer.read()
+        tokenizer.consume("WS")
+
+        url_start = tokenizer.position
+        url = tokenizer.expect("URL", expected="URL after @").text
+        if tokenizer.check("END", peek=True):
+            return (url, specifier, marker)
+
+        tokenizer.expect("WS", expected="whitespace after URL")
+
+        # The input might end after whitespace.
+        if tokenizer.check("END", peek=True):
+            return (url, specifier, marker)
+
+        marker = _parse_requirement_marker(
+            tokenizer,
+            span_start=url_start,
+            expected="semicolon (after URL and whitespace)",
+        )
+    else:
+        specifier_start = tokenizer.position
+        specifier = _parse_specifier(tokenizer)
+        tokenizer.consume("WS")
+
+        if tokenizer.check("END", peek=True):
+            return (url, specifier, marker)
+
+        marker = _parse_requirement_marker(
+            tokenizer,
+            span_start=specifier_start,
+            expected=(
+                "comma (within version specifier), semicolon (after version specifier)"
+                if specifier
+                else "semicolon (after name with no version specifier)"
+            ),
+        )
+
+    return (url, specifier, marker)
+
+
+def _parse_requirement_marker(
+    tokenizer: Tokenizer, *, span_start: int, expected: str
+) -> MarkerList:
+    """
+    requirement_marker = SEMICOLON marker WS?
+    """
+
+    if not tokenizer.check("SEMICOLON"):
+        tokenizer.raise_syntax_error(
+            f"Expected {expected} or end",
+            span_start=span_start,
+            span_end=None,
+        )
+    tokenizer.read()
+
+    marker = _parse_marker(tokenizer)
+    tokenizer.consume("WS")
+
+    return marker
+
+
+def _parse_extras(tokenizer: Tokenizer) -> list[str]:
+    """
+    extras = (LEFT_BRACKET wsp* extras_list? wsp* RIGHT_BRACKET)?
+    """
+    if not tokenizer.check("LEFT_BRACKET", peek=True):
+        return []
+
+    with tokenizer.enclosing_tokens(
+        "LEFT_BRACKET",
+        "RIGHT_BRACKET",
+        around="extras",
+    ):
+        tokenizer.consume("WS")
+        extras = _parse_extras_list(tokenizer)
+        tokenizer.consume("WS")
+
+    return extras
+
+
+def _parse_extras_list(tokenizer: Tokenizer) -> list[str]:
+    """
+    extras_list = identifier (wsp* ',' wsp* identifier)*
+    """
+    extras: list[str] = []
+
+    if not tokenizer.check("IDENTIFIER"):
+        return extras
+
+    extras.append(tokenizer.read().text)
+
+    while True:
+        tokenizer.consume("WS")
+        if tokenizer.check("IDENTIFIER", peek=True):
+            tokenizer.raise_syntax_error("Expected comma between extra names")
+        elif not tokenizer.check("COMMA"):
+            break
+
+        tokenizer.read()
+        tokenizer.consume("WS")
+
+        extra_token = tokenizer.expect("IDENTIFIER", expected="extra name after comma")
+        extras.append(extra_token.text)
+
+    return extras
+
+
+def _parse_specifier(tokenizer: Tokenizer) -> str:
+    """
+    specifier = LEFT_PARENTHESIS WS? version_many WS? RIGHT_PARENTHESIS
+              | WS? version_many WS?
+    """
+    with tokenizer.enclosing_tokens(
+        "LEFT_PARENTHESIS",
+        "RIGHT_PARENTHESIS",
+        around="version specifier",
+    ):
+        tokenizer.consume("WS")
+        parsed_specifiers = _parse_version_many(tokenizer)
+        tokenizer.consume("WS")
+
+    return parsed_specifiers
+
+
+def _parse_version_many(tokenizer: Tokenizer) -> str:
+    """
+    version_many = (SPECIFIER (WS? COMMA WS? SPECIFIER)*)?
+    """
+    parsed_specifiers = ""
+    while tokenizer.check("SPECIFIER"):
+        span_start = tokenizer.position
+        parsed_specifiers += tokenizer.read().text
+        if tokenizer.check("VERSION_PREFIX_TRAIL", peek=True):
+            tokenizer.raise_syntax_error(
+                ".* suffix can only be used with `==` or `!=` operators",
+                span_start=span_start,
+                span_end=tokenizer.position + 1,
+            )
+        if tokenizer.check("VERSION_LOCAL_LABEL_TRAIL", peek=True):
+            tokenizer.raise_syntax_error(
+                "Local version label can only be used with `==` or `!=` operators",
+                span_start=span_start,
+                span_end=tokenizer.position,
+            )
+        tokenizer.consume("WS")
+        if not tokenizer.check("COMMA"):
+            break
+        parsed_specifiers += tokenizer.read().text
+        tokenizer.consume("WS")
+
+    return parsed_specifiers
+
+
+# --------------------------------------------------------------------------------------
+# Recursive descent parser for marker expression
+# --------------------------------------------------------------------------------------
+def parse_marker(source: str) -> MarkerList:
+    return _parse_full_marker(Tokenizer(source, rules=DEFAULT_RULES))
+
+
+def _parse_full_marker(tokenizer: Tokenizer) -> MarkerList:
+    retval = _parse_marker(tokenizer)
+    tokenizer.expect("END", expected="end of marker expression")
+    return retval
+
+
+def _parse_marker(tokenizer: Tokenizer) -> MarkerList:
+    """
+    marker = marker_atom (BOOLOP marker_atom)+
+    """
+    expression = [_parse_marker_atom(tokenizer)]
+    while tokenizer.check("BOOLOP"):
+        token = tokenizer.read()
+        expr_right = _parse_marker_atom(tokenizer)
+        expression.extend((token.text, expr_right))
+    return expression
+
+
+def _parse_marker_atom(tokenizer: Tokenizer) -> MarkerAtom:
+    """
+    marker_atom = WS? LEFT_PARENTHESIS WS? marker WS? RIGHT_PARENTHESIS WS?
+                | WS? marker_item WS?
+    """
+
+    tokenizer.consume("WS")
+    if tokenizer.check("LEFT_PARENTHESIS", peek=True):
+        with tokenizer.enclosing_tokens(
+            "LEFT_PARENTHESIS",
+            "RIGHT_PARENTHESIS",
+            around="marker expression",
+        ):
+            tokenizer.consume("WS")
+            marker: MarkerAtom = _parse_marker(tokenizer)
+            tokenizer.consume("WS")
+    else:
+        marker = _parse_marker_item(tokenizer)
+    tokenizer.consume("WS")
+    return marker
+
+
+def _parse_marker_item(tokenizer: Tokenizer) -> MarkerItem:
+    """
+    marker_item = WS? marker_var WS? marker_op WS? marker_var WS?
+    """
+    tokenizer.consume("WS")
+    marker_var_left = _parse_marker_var(tokenizer)
+    tokenizer.consume("WS")
+    marker_op = _parse_marker_op(tokenizer)
+    tokenizer.consume("WS")
+    marker_var_right = _parse_marker_var(tokenizer)
+    tokenizer.consume("WS")
+    return (marker_var_left, marker_op, marker_var_right)
+
+
+def _parse_marker_var(tokenizer: Tokenizer) -> MarkerVar:  # noqa: RET503
+    """
+    marker_var = VARIABLE | QUOTED_STRING
+    """
+    if tokenizer.check("VARIABLE"):
+        return process_env_var(tokenizer.read().text.replace(".", "_"))
+    elif tokenizer.check("QUOTED_STRING"):
+        return process_python_str(tokenizer.read().text)
+    else:
+        tokenizer.raise_syntax_error(
+            message="Expected a marker variable or quoted string"
+        )
+
+
+def process_env_var(env_var: str) -> Variable:
+    if env_var in ("platform_python_implementation", "python_implementation"):
+        return Variable("platform_python_implementation")
+    else:
+        return Variable(env_var)
+
+
+def process_python_str(python_str: str) -> Value:
+    value = ast.literal_eval(python_str)
+    return Value(str(value))
+
+
+def _parse_marker_op(tokenizer: Tokenizer) -> Op:
+    """
+    marker_op = IN | NOT IN | OP
+    """
+    if tokenizer.check("IN"):
+        tokenizer.read()
+        return Op("in")
+    elif tokenizer.check("NOT"):
+        tokenizer.read()
+        tokenizer.expect("WS", expected="whitespace after 'not'")
+        tokenizer.expect("IN", expected="'in' after 'not'")
+        return Op("not in")
+    elif tokenizer.check("OP"):
+        return Op(tokenizer.read().text)
+    else:
+        return tokenizer.raise_syntax_error(
+            "Expected marker operator, one of <=, <, !=, ==, >=, >, ~=, ===, in, not in"
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_structures.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_structures.py
new file mode 100644
index 0000000000000000000000000000000000000000..4306784d9a26466aa0a210cb2f262903c67d46ca
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_structures.py
@@ -0,0 +1,33 @@
+# This file is dual licensed under the terms of the Apache License, Version
+# 2.0, and the BSD License. See the LICENSE file in the root of this repository
+# for complete details.
+
+"""Backward-compatibility shim for unpickling Version objects serialized before
+packaging 26.1.
+
+Old pickles reference ``packaging._structures.InfinityType`` and
+``packaging._structures.NegativeInfinityType``.  This module provides minimal
+stand-in classes so that ``pickle.loads()`` can resolve those references.
+The deserialized objects are not used for comparisons — ``Version.__setstate__``
+discards the stale ``_key`` cache and recomputes it from the core version fields.
+"""
+
+from __future__ import annotations
+
+
+class InfinityType:
+    """Stand-in for the removed ``InfinityType`` used in old comparison keys."""
+
+    def __repr__(self) -> str:
+        return "Infinity"
+
+
+class NegativeInfinityType:
+    """Stand-in for the removed ``NegativeInfinityType`` used in old comparison keys."""
+
+    def __repr__(self) -> str:
+        return "-Infinity"
+
+
+Infinity = InfinityType()
+NegativeInfinity = NegativeInfinityType()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_tokenizer.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_tokenizer.py
new file mode 100644
index 0000000000000000000000000000000000000000..5ab891ccb8e9048cf64573ca303357efe6afae32
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/_tokenizer.py
@@ -0,0 +1,193 @@
+from __future__ import annotations
+
+import contextlib
+import re
+from dataclasses import dataclass
+from typing import Generator, Mapping, NoReturn
+
+from .specifiers import Specifier
+
+
+@dataclass
+class Token:
+    name: str
+    text: str
+    position: int
+
+
+class ParserSyntaxError(Exception):
+    """The provided source text could not be parsed correctly."""
+
+    def __init__(
+        self,
+        message: str,
+        *,
+        source: str,
+        span: tuple[int, int],
+    ) -> None:
+        self.span = span
+        self.message = message
+        self.source = source
+
+        super().__init__()
+
+    def __str__(self) -> str:
+        marker = " " * self.span[0] + "~" * (self.span[1] - self.span[0]) + "^"
+        return f"{self.message}\n    {self.source}\n    {marker}"
+
+
+DEFAULT_RULES: dict[str, re.Pattern[str]] = {
+    "LEFT_PARENTHESIS": re.compile(r"\("),
+    "RIGHT_PARENTHESIS": re.compile(r"\)"),
+    "LEFT_BRACKET": re.compile(r"\["),
+    "RIGHT_BRACKET": re.compile(r"\]"),
+    "SEMICOLON": re.compile(r";"),
+    "COMMA": re.compile(r","),
+    "QUOTED_STRING": re.compile(
+        r"""
+            (
+                ('[^']*')
+                |
+                ("[^"]*")
+            )
+        """,
+        re.VERBOSE,
+    ),
+    "OP": re.compile(r"(===|==|~=|!=|<=|>=|<|>)"),
+    "BOOLOP": re.compile(r"\b(or|and)\b"),
+    "IN": re.compile(r"\bin\b"),
+    "NOT": re.compile(r"\bnot\b"),
+    "VARIABLE": re.compile(
+        r"""
+            \b(
+                python_version
+                |python_full_version
+                |os[._]name
+                |sys[._]platform
+                |platform_(release|system)
+                |platform[._](version|machine|python_implementation)
+                |python_implementation
+                |implementation_(name|version)
+                |extras?
+                |dependency_groups
+            )\b
+        """,
+        re.VERBOSE,
+    ),
+    "SPECIFIER": re.compile(
+        Specifier._specifier_regex_str,
+        re.VERBOSE | re.IGNORECASE,
+    ),
+    "AT": re.compile(r"\@"),
+    "URL": re.compile(r"[^ \t]+"),
+    "IDENTIFIER": re.compile(r"\b[a-zA-Z0-9][a-zA-Z0-9._-]*\b"),
+    "VERSION_PREFIX_TRAIL": re.compile(r"\.\*"),
+    "VERSION_LOCAL_LABEL_TRAIL": re.compile(r"\+[a-z0-9]+(?:[-_\.][a-z0-9]+)*"),
+    "WS": re.compile(r"[ \t]+"),
+    "END": re.compile(r"$"),
+}
+
+
+class Tokenizer:
+    """Context-sensitive token parsing.
+
+    Provides methods to examine the input stream to check whether the next token
+    matches.
+    """
+
+    def __init__(
+        self,
+        source: str,
+        *,
+        rules: Mapping[str, re.Pattern[str]],
+    ) -> None:
+        self.source = source
+        self.rules = rules
+        self.next_token: Token | None = None
+        self.position = 0
+
+    def consume(self, name: str) -> None:
+        """Move beyond provided token name, if at current position."""
+        if self.check(name):
+            self.read()
+
+    def check(self, name: str, *, peek: bool = False) -> bool:
+        """Check whether the next token has the provided name.
+
+        By default, if the check succeeds, the token *must* be read before
+        another check. If `peek` is set to `True`, the token is not loaded and
+        would need to be checked again.
+        """
+        assert self.next_token is None, (
+            f"Cannot check for {name!r}, already have {self.next_token!r}"
+        )
+        assert name in self.rules, f"Unknown token name: {name!r}"
+
+        expression = self.rules[name]
+
+        match = expression.match(self.source, self.position)
+        if match is None:
+            return False
+        if not peek:
+            self.next_token = Token(name, match[0], self.position)
+        return True
+
+    def expect(self, name: str, *, expected: str) -> Token:
+        """Expect a certain token name next, failing with a syntax error otherwise.
+
+        The token is *not* read.
+        """
+        if not self.check(name):
+            raise self.raise_syntax_error(f"Expected {expected}")
+        return self.read()
+
+    def read(self) -> Token:
+        """Consume the next token and return it."""
+        token = self.next_token
+        assert token is not None
+
+        self.position += len(token.text)
+        self.next_token = None
+
+        return token
+
+    def raise_syntax_error(
+        self,
+        message: str,
+        *,
+        span_start: int | None = None,
+        span_end: int | None = None,
+    ) -> NoReturn:
+        """Raise ParserSyntaxError at the given position."""
+        span = (
+            self.position if span_start is None else span_start,
+            self.position if span_end is None else span_end,
+        )
+        raise ParserSyntaxError(
+            message,
+            source=self.source,
+            span=span,
+        )
+
+    @contextlib.contextmanager
+    def enclosing_tokens(
+        self, open_token: str, close_token: str, *, around: str
+    ) -> Generator[None, None, None]:
+        if self.check(open_token):
+            open_position = self.position
+            self.read()
+        else:
+            open_position = None
+
+        yield
+
+        if open_position is None:
+            return
+
+        if not self.check(close_token):
+            self.raise_syntax_error(
+                f"Expected matching {close_token} for {open_token}, after {around}",
+                span_start=open_position,
+            )
+
+        self.read()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/dependency_groups.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/dependency_groups.py
new file mode 100644
index 0000000000000000000000000000000000000000..413e5cb4b40d734564b99092320bb58a8f3c2c2b
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/dependency_groups.py
@@ -0,0 +1,302 @@
+from __future__ import annotations
+
+import re
+from collections.abc import Mapping, Sequence
+
+from .errors import _ErrorCollector
+from .requirements import Requirement
+
+__all__ = [
+    "CyclicDependencyGroup",
+    "DependencyGroupInclude",
+    "DependencyGroupResolver",
+    "DuplicateGroupNames",
+    "InvalidDependencyGroupObject",
+    "resolve_dependency_groups",
+]
+
+
+def __dir__() -> list[str]:
+    return __all__
+
+
+# -----------
+# Error Types
+# -----------
+
+
+class DuplicateGroupNames(ValueError):
+    """
+    The same dependency groups were defined twice, with different non-normalized names.
+    """
+
+
+class CyclicDependencyGroup(ValueError):
+    """
+    The dependency group includes form a cycle.
+    """
+
+    def __init__(self, requested_group: str, group: str, include_group: str) -> None:
+        self.requested_group = requested_group
+        self.group = group
+        self.include_group = include_group
+
+        if include_group == group:
+            reason = f"{group} includes itself"
+        else:
+            reason = f"{include_group} -> {group}, {group} -> {include_group}"
+        super().__init__(
+            "Cyclic dependency group include while resolving "
+            f"{requested_group}: {reason}"
+        )
+
+
+# in the PEP 735 spec, the tables in dependency group lists were described as
+# "Dependency Object Specifiers", but the only defined type of object was a
+# "Dependency Group Include" -- hence the naming of this error as "Object"
+class InvalidDependencyGroupObject(ValueError):
+    """
+    A member of a dependency group was identified as a dict, but was not in a valid
+    format.
+    """
+
+
+# ------------------------
+# Object Model & Interface
+# ------------------------
+
+
+class DependencyGroupInclude:
+    __slots__ = ("include_group",)
+
+    def __init__(self, include_group: str) -> None:
+        """
+        Initialize a DependencyGroupInclude.
+
+        :param include_group: The name of the group referred to by this include.
+        """
+        self.include_group = include_group
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}({self.include_group!r})"
+
+
+class DependencyGroupResolver:
+    """
+    A resolver for Dependency Group data.
+
+    This class handles caching, name normalization, cycle detection, and other
+    parsing requirements. There are only two public methods for exploring the data:
+    ``lookup()`` and ``resolve()``.
+
+    :param dependency_groups: A mapping, as provided via pyproject
+        ``[dependency-groups]``.
+    """
+
+    def __init__(
+        self,
+        dependency_groups: Mapping[str, Sequence[str | Mapping[str, str]]],
+    ) -> None:
+        errors = _ErrorCollector()
+
+        self.dependency_groups = _normalize_group_names(dependency_groups, errors)
+
+        # a map of group names to parsed data
+        self._parsed_groups: dict[
+            str, tuple[Requirement | DependencyGroupInclude, ...]
+        ] = {}
+        # a map of group names to their ancestors, used for cycle detection
+        self._include_graph_ancestors: dict[str, tuple[str, ...]] = {}
+        # a cache of completed resolutions to Requirement lists
+        self._resolve_cache: dict[str, tuple[Requirement, ...]] = {}
+
+        errors.finalize("[dependency-groups] data was invalid")
+
+    def lookup(self, group: str) -> tuple[Requirement | DependencyGroupInclude, ...]:
+        """
+        Lookup a group name, returning the parsed dependency data for that group.
+        This will not resolve includes.
+
+        :param group: the name of the group to lookup
+        """
+        group = _normalize_name(group)
+
+        with _ErrorCollector().on_exit(
+            f"[dependency-groups] data for {group!r} was malformed"
+        ) as errors:
+            return self._parse_group(group, errors)
+
+    def resolve(self, group: str) -> tuple[Requirement, ...]:
+        """
+        Resolve a dependency group to a list of requirements.
+
+        :param group: the name of the group to resolve
+        """
+        group = _normalize_name(group)
+
+        with _ErrorCollector().on_exit(
+            f"[dependency-groups] data for {group!r} was malformed"
+        ) as errors:
+            return self._resolve(group, group, errors)
+
+    def _resolve(
+        self, group: str, requested_group: str, errors: _ErrorCollector
+    ) -> tuple[Requirement, ...]:
+        """
+        This is a helper for cached resolution to strings. It preserves the name of the
+        group which the user initially requested in order to present a clearer error in
+        the event that a cycle is detected.
+
+        :param group: The normalized name of the group to resolve.
+        :param requested_group: The group which was used in the original, user-facing
+            request.
+        """
+        if group in self._resolve_cache:
+            return self._resolve_cache[group]
+
+        parsed = self._parse_group(group, errors)
+
+        resolved_group = []
+
+        for item in parsed:
+            if isinstance(item, Requirement):
+                resolved_group.append(item)
+            elif isinstance(item, DependencyGroupInclude):
+                include_group = _normalize_name(item.include_group)
+
+                # if a group is cyclic, record the error
+                # otherwise, follow the include_group reference
+                #
+                # this allows us to examine all includes in a group, even in the
+                # presence of errors
+                if include_group in self._include_graph_ancestors.get(group, ()):
+                    errors.error(
+                        CyclicDependencyGroup(
+                            requested_group, group, item.include_group
+                        )
+                    )
+                else:
+                    self._include_graph_ancestors[include_group] = (
+                        *self._include_graph_ancestors.get(group, ()),
+                        group,
+                    )
+                    resolved_group.extend(
+                        self._resolve(include_group, requested_group, errors)
+                    )
+            else:  # pragma: no cover
+                raise NotImplementedError(
+                    f"Invalid dependency group item after parse: {item}"
+                )
+
+        # in the event that errors were detected, present the group as empty and do not
+        # cache the result
+        # this ensures that repeated access to a cyclic group will raise multiple errors
+        if errors.errors:
+            return ()
+
+        self._resolve_cache[group] = tuple(resolved_group)
+        return self._resolve_cache[group]
+
+    def _parse_group(
+        self, group: str, errors: _ErrorCollector
+    ) -> tuple[Requirement | DependencyGroupInclude, ...]:
+        # short circuit -- never do the work twice
+        if group in self._parsed_groups:
+            return self._parsed_groups[group]
+
+        if group not in self.dependency_groups:
+            errors.error(LookupError(f"Dependency group '{group}' not found"))
+            return ()
+
+        raw_group = self.dependency_groups[group]
+        if isinstance(raw_group, str):
+            errors.error(
+                TypeError(
+                    f"Dependency group {group!r} contained a string rather than a list."
+                )
+            )
+            return ()
+
+        if not isinstance(raw_group, Sequence):
+            errors.error(
+                TypeError(f"Dependency group {group!r} is not a sequence type.")
+            )
+            return ()
+
+        elements: list[Requirement | DependencyGroupInclude] = []
+        for item in raw_group:
+            if isinstance(item, str):
+                # packaging.requirements.Requirement parsing ensures that this is a
+                # valid PEP 508 Dependency Specifier
+                # raises InvalidRequirement on failure
+                elements.append(Requirement(item))
+            elif isinstance(item, Mapping):
+                if tuple(item.keys()) != ("include-group",):
+                    errors.error(
+                        InvalidDependencyGroupObject(
+                            f"Invalid dependency group item: {item!r}"
+                        )
+                    )
+                else:
+                    include_group = item["include-group"]
+                    elements.append(DependencyGroupInclude(include_group=include_group))
+            else:
+                errors.error(TypeError(f"Invalid dependency group item: {item!r}"))
+
+        self._parsed_groups[group] = tuple(elements)
+        return self._parsed_groups[group]
+
+
+# --------------------
+# Functional Interface
+# --------------------
+
+
+def resolve_dependency_groups(
+    dependency_groups: Mapping[str, Sequence[str | Mapping[str, str]]], /, *groups: str
+) -> tuple[str, ...]:
+    """
+    Resolve a dependency group to a tuple of requirements, as strings.
+
+    :param dependency_groups: the parsed contents of the ``[dependency-groups]`` table
+        from ``pyproject.toml``
+    :param groups: the name of the group(s) to resolve
+    """
+    resolver = DependencyGroupResolver(dependency_groups)
+    return tuple(str(r) for group in groups for r in resolver.resolve(group))
+
+
+# ----------------
+# internal helpers
+# ----------------
+
+
+_NORMALIZE_PATTERN = re.compile(r"[-_.]+")
+
+
+def _normalize_name(name: str) -> str:
+    return _NORMALIZE_PATTERN.sub("-", name).lower()
+
+
+def _normalize_group_names(
+    dependency_groups: Mapping[str, Sequence[str | Mapping[str, str]]],
+    errors: _ErrorCollector,
+) -> dict[str, Sequence[str | Mapping[str, str]]]:
+    original_names: dict[str, list[str]] = {}
+    normalized_groups: dict[str, Sequence[str | Mapping[str, str]]] = {}
+
+    for group_name, value in dependency_groups.items():
+        normed_group_name = _normalize_name(group_name)
+        original_names.setdefault(normed_group_name, []).append(group_name)
+        normalized_groups[normed_group_name] = value
+
+    for normed_name, names in original_names.items():
+        if len(names) > 1:
+            errors.error(
+                DuplicateGroupNames(
+                    "Duplicate dependency group names: "
+                    f"{normed_name} ({', '.join(names)})"
+                )
+            )
+
+    return normalized_groups
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/direct_url.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/direct_url.py
new file mode 100644
index 0000000000000000000000000000000000000000..5d1c56ca9d6fcd92111b0a86258853224509abb0
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/direct_url.py
@@ -0,0 +1,325 @@
+from __future__ import annotations
+
+import dataclasses
+import re
+import urllib.parse
+from collections.abc import Mapping
+from typing import TYPE_CHECKING, Any, Protocol, TypeVar
+
+if TYPE_CHECKING:  # pragma: no cover
+    import sys
+    from collections.abc import Collection
+
+    if sys.version_info >= (3, 11):
+        from typing import Self
+    else:
+        from typing_extensions import Self
+
+__all__ = [
+    "ArchiveInfo",
+    "DirInfo",
+    "DirectUrl",
+    "DirectUrlValidationError",
+    "VcsInfo",
+]
+
+
+def __dir__() -> list[str]:
+    return __all__
+
+
+_T = TypeVar("_T")
+
+
+class _FromMappingProtocol(Protocol):  # pragma: no cover
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self: ...
+
+
+_FromMappingProtocolT = TypeVar("_FromMappingProtocolT", bound=_FromMappingProtocol)
+
+
+def _json_dict_factory(data: list[tuple[str, Any]]) -> dict[str, Any]:
+    return {key: value for key, value in data if value is not None}
+
+
+def _get(d: Mapping[str, Any], expected_type: type[_T], key: str) -> _T | None:
+    """Get a value from the dictionary and verify it's the expected type."""
+    if (value := d.get(key)) is None:
+        return None
+    if not isinstance(value, expected_type):
+        raise DirectUrlValidationError(
+            f"Unexpected type {type(value).__name__} "
+            f"(expected {expected_type.__name__})",
+            context=key,
+        )
+    return value
+
+
+def _get_required(d: Mapping[str, Any], expected_type: type[_T], key: str) -> _T:
+    """Get a required value from the dictionary and verify it's the expected type."""
+    if (value := _get(d, expected_type, key)) is None:
+        raise _DirectUrlRequiredKeyError(key)
+    return value
+
+
+def _get_object(
+    d: Mapping[str, Any], target_type: type[_FromMappingProtocolT], key: str
+) -> _FromMappingProtocolT | None:
+    """Get a dictionary value from the dictionary and convert it to a dataclass."""
+    if (value := _get(d, Mapping, key)) is None:  # type: ignore[type-abstract]
+        return None
+    try:
+        return target_type._from_dict(value)
+    except Exception as e:
+        raise DirectUrlValidationError(e, context=key) from e
+
+
+_PEP610_USER_PASS_ENV_VARS_REGEX = re.compile(
+    r"^\$\{[A-Za-z0-9-_]+\}(:\$\{[A-Za-z0-9-_]+\})?$"
+)
+
+
+def _strip_auth_from_netloc(netloc: str, safe_user_passwords: Collection[str]) -> str:
+    if "@" not in netloc:
+        return netloc
+    user_pass, netloc_no_user_pass = netloc.split("@", 1)
+    if user_pass in safe_user_passwords:
+        return netloc
+    if _PEP610_USER_PASS_ENV_VARS_REGEX.match(user_pass):
+        return netloc
+    return netloc_no_user_pass
+
+
+def _strip_url(url: str, safe_user_passwords: Collection[str]) -> str:
+    """url with user:password part removed unless it is formed with
+    environment variables as specified in PEP 610, or it is a safe user:password
+    such as `git`.
+    """
+    parsed_url = urllib.parse.urlsplit(url)
+    netloc = _strip_auth_from_netloc(parsed_url.netloc, safe_user_passwords)
+    return urllib.parse.urlunsplit(
+        (
+            parsed_url.scheme,
+            netloc,
+            parsed_url.path,
+            parsed_url.query,
+            parsed_url.fragment,
+        )
+    )
+
+
+class DirectUrlValidationError(Exception):
+    """Raised when when input data is not spec-compliant."""
+
+    context: str | None = None
+    message: str
+
+    def __init__(
+        self,
+        cause: str | Exception,
+        *,
+        context: str | None = None,
+    ) -> None:
+        if isinstance(cause, DirectUrlValidationError):
+            if cause.context:
+                self.context = (
+                    f"{context}.{cause.context}" if context else cause.context
+                )
+            else:
+                self.context = context  # pragma: no cover
+            self.message = cause.message
+        else:
+            self.context = context
+            self.message = str(cause)
+
+    def __str__(self) -> str:
+        if self.context:
+            return f"{self.message} in {self.context!r}"
+        return self.message
+
+
+class _DirectUrlRequiredKeyError(DirectUrlValidationError):
+    def __init__(self, key: str) -> None:
+        super().__init__("Missing required value", context=key)
+
+
+@dataclasses.dataclass(frozen=True, init=False)
+class VcsInfo:
+    vcs: str
+    commit_id: str
+    requested_revision: str | None = None
+
+    def __init__(
+        self,
+        *,
+        vcs: str,
+        commit_id: str,
+        requested_revision: str | None = None,
+    ) -> None:
+        object.__setattr__(self, "vcs", vcs)
+        object.__setattr__(self, "commit_id", commit_id)
+        object.__setattr__(self, "requested_revision", requested_revision)
+
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self:
+        # We can't validate vcs value because is not closed.
+        return cls(
+            vcs=_get_required(d, str, "vcs"),
+            requested_revision=_get(d, str, "requested_revision"),
+            commit_id=_get_required(d, str, "commit_id"),
+        )
+
+
+@dataclasses.dataclass(frozen=True, init=False)
+class ArchiveInfo:
+    hashes: Mapping[str, str] | None = None
+
+    def __init__(
+        self,
+        *,
+        hashes: Mapping[str, str] | None = None,
+    ) -> None:
+        object.__setattr__(self, "hashes", hashes)
+
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self:
+        hashes = _get(d, Mapping, "hashes")  # type: ignore[type-abstract]
+        if hashes is not None and not all(isinstance(h, str) for h in hashes.values()):
+            raise DirectUrlValidationError(
+                "Hash values must be strings", context="hashes"
+            )
+        legacy_hash = _get(d, str, "hash")
+        if legacy_hash is not None:
+            if "=" not in legacy_hash:
+                raise DirectUrlValidationError(
+                    "Invalid hash format (expected '=')",
+                    context="hash",
+                )
+            hash_algorithm, hash_value = legacy_hash.split("=", 1)
+            if hashes is None:
+                # if `hashes` are not present, we can derive it from the legacy `hash`
+                hashes = {hash_algorithm: hash_value}
+            else:
+                # if `hashes` are present, the legacy `hash` must match one of them
+                if hash_algorithm not in hashes:
+                    raise DirectUrlValidationError(
+                        f"Algorithm {hash_algorithm!r} used in hash field "
+                        f"is not present in hashes field",
+                        context="hashes",
+                    )
+                if hashes[hash_algorithm] != hash_value:
+                    raise DirectUrlValidationError(
+                        f"Algorithm {hash_algorithm!r} used in hash field "
+                        f"has different value in hashes field",
+                        context="hash",
+                    )
+        return cls(hashes=hashes)
+
+
+@dataclasses.dataclass(frozen=True, init=False)
+class DirInfo:
+    editable: bool | None = None
+
+    def __init__(
+        self,
+        *,
+        editable: bool | None = None,
+    ) -> None:
+        object.__setattr__(self, "editable", editable)
+
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self:
+        return cls(
+            editable=_get(d, bool, "editable"),
+        )
+
+
+@dataclasses.dataclass(frozen=True, init=False)
+class DirectUrl:
+    """A class representing a direct URL."""
+
+    url: str
+    archive_info: ArchiveInfo | None = None
+    vcs_info: VcsInfo | None = None
+    dir_info: DirInfo | None = None
+    subdirectory: str | None = None  # XXX Path or str?
+
+    def __init__(
+        self,
+        *,
+        url: str,
+        archive_info: ArchiveInfo | None = None,
+        vcs_info: VcsInfo | None = None,
+        dir_info: DirInfo | None = None,
+        subdirectory: str | None = None,
+    ) -> None:
+        object.__setattr__(self, "url", url)
+        object.__setattr__(self, "archive_info", archive_info)
+        object.__setattr__(self, "vcs_info", vcs_info)
+        object.__setattr__(self, "dir_info", dir_info)
+        object.__setattr__(self, "subdirectory", subdirectory)
+
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self:
+        direct_url = cls(
+            url=_get_required(d, str, "url"),
+            archive_info=_get_object(d, ArchiveInfo, "archive_info"),
+            vcs_info=_get_object(d, VcsInfo, "vcs_info"),
+            dir_info=_get_object(d, DirInfo, "dir_info"),
+            subdirectory=_get(d, str, "subdirectory"),
+        )
+        if (
+            bool(direct_url.vcs_info)
+            + bool(direct_url.archive_info)
+            + bool(direct_url.dir_info)
+        ) != 1:
+            raise DirectUrlValidationError(
+                "Exactly one of vcs_info, archive_info, dir_info must be present"
+            )
+        if direct_url.dir_info is not None and not direct_url.url.startswith("file://"):
+            raise DirectUrlValidationError(
+                "URL scheme must be file:// when dir_info is present",
+                context="url",
+            )
+        # XXX subdirectory must be relative, can we, should we validate that here?
+        return direct_url
+
+    @classmethod
+    def from_dict(cls, d: Mapping[str, Any], /) -> Self:
+        """Create and validate a DirectUrl instance from a JSON dictionary."""
+        return cls._from_dict(d)
+
+    def to_dict(
+        self,
+        *,
+        generate_legacy_hash: bool = False,
+        strip_user_password: bool = True,
+        safe_user_passwords: Collection[str] = ("git",),
+    ) -> Mapping[str, Any]:
+        """Convert the DirectUrl instance to a JSON dictionary.
+
+        :param generate_legacy_hash: If True, include a legacy `hash` field in
+            `archive_info` for backward compatibility with tools that don't
+            support the `hashes` field.
+        :param strip_user_password: If True, strip user:password from the URL
+            unless it is formed with environment variables as specified in PEP
+            610, or it is a safe user:password such as `git`.
+        :param safe_user_passwords: A collection of user:password strings that
+            should not be stripped from the URL even if `strip_user_password` is
+            True.
+        """
+        res = dataclasses.asdict(self, dict_factory=_json_dict_factory)
+        if generate_legacy_hash and self.archive_info and self.archive_info.hashes:
+            hash_algorithm, hash_value = next(iter(self.archive_info.hashes.items()))
+            res["archive_info"]["hash"] = f"{hash_algorithm}={hash_value}"
+        if strip_user_password:
+            res["url"] = _strip_url(self.url, safe_user_passwords)
+        return res
+
+    def validate(self) -> None:
+        """Validate the DirectUrl instance against the specification.
+
+        Raises :class:`DirectUrlValidationError` if invalid.
+        """
+        self.from_dict(self.to_dict())
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/errors.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/errors.py
new file mode 100644
index 0000000000000000000000000000000000000000..d1d47cf6c3416179750bf5bf170aafe9d0fa6497
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/errors.py
@@ -0,0 +1,94 @@
+from __future__ import annotations
+
+import contextlib
+import dataclasses
+import sys
+import typing
+
+__all__ = ["ExceptionGroup"]
+
+
+def __dir__() -> list[str]:
+    return __all__
+
+
+if sys.version_info >= (3, 11):  # pragma: no cover
+    from builtins import ExceptionGroup
+else:  # pragma: no cover
+
+    class ExceptionGroup(Exception):
+        """A minimal implementation of :external:exc:`ExceptionGroup` from Python 3.11.
+
+        If :external:exc:`ExceptionGroup` is already defined by Python itself,
+        that version is used instead.
+        """
+
+        message: str
+        exceptions: list[Exception]
+
+        def __init__(self, message: str, exceptions: list[Exception]) -> None:
+            self.message = message
+            self.exceptions = exceptions
+
+        def __repr__(self) -> str:
+            return f"{self.__class__.__name__}({self.message!r}, {self.exceptions!r})"
+
+
+@dataclasses.dataclass
+class _ErrorCollector:
+    """
+    Collect errors into ExceptionGroups.
+
+    Used like this:
+
+        collector = _ErrorCollector()
+        # Add a single exception
+        collector.error(ValueError("one"))
+
+        # Supports nesting, including combining ExceptionGroups
+        with collector.collect():
+            raise ValueError("two")
+        collector.finalize("Found some errors")
+
+    Since making a collector and then calling finalize later is a common pattern,
+    a convenience method ``on_exit`` is provided.
+    """
+
+    errors: list[Exception] = dataclasses.field(default_factory=list, init=False)
+
+    def finalize(self, msg: str) -> None:
+        """Raise a group exception if there are any errors."""
+        if self.errors:
+            raise ExceptionGroup(msg, self.errors)
+
+    @contextlib.contextmanager
+    def on_exit(self, msg: str) -> typing.Generator[_ErrorCollector, None, None]:
+        """
+        Calls finalize if no uncollected errors were present.
+
+        Uncollected errors are raised normally.
+        """
+        yield self
+        self.finalize(msg)
+
+    @contextlib.contextmanager
+    def collect(self, *err_cls: type[Exception]) -> typing.Generator[None, None, None]:
+        """
+        Context manager to collect errors into the error list.
+
+        Must be inside loops, as only one error can be collected at a time.
+        """
+        error_classes = err_cls or (Exception,)
+        try:
+            yield
+        except ExceptionGroup as error:
+            self.errors.extend(error.exceptions)
+        except error_classes as error:
+            self.errors.append(error)
+
+    def error(
+        self,
+        error: Exception,
+    ) -> None:
+        """Add an error to the list."""
+        self.errors.append(error)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/licenses/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/licenses/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..36e46ed02ca7aa6690928cf33868ae9cd1ab1d17
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/licenses/__init__.py
@@ -0,0 +1,186 @@
+#######################################################################################
+#
+# Adapted from:
+#  https://github.com/pypa/hatch/blob/5352e44/backend/src/hatchling/licenses/parse.py
+#
+# MIT License
+#
+# Copyright (c) 2017-present Ofek Lev 
+#
+# Permission is hereby granted, free of charge, to any person obtaining a copy of this
+# software and associated documentation files (the "Software"), to deal in the Software
+# without restriction, including without limitation the rights to use, copy, modify,
+# merge, publish, distribute, sublicense, and/or sell copies of the Software, and to
+# permit persons to whom the Software is furnished to do so, subject to the following
+# conditions:
+#
+# The above copyright notice and this permission notice shall be included in all copies
+# or substantial portions of the Software.
+#
+# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED,
+# INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
+# PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
+# HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF
+# CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE
+# OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+#
+#
+# With additional allowance of arbitrary `LicenseRef-` identifiers, not just
+# `LicenseRef-Public-Domain` and `LicenseRef-Proprietary`.
+#
+#######################################################################################
+from __future__ import annotations
+
+import re
+from typing import NewType, cast
+
+from ._spdx import EXCEPTIONS, LICENSES
+
+__all__ = [
+    "InvalidLicenseExpression",
+    "NormalizedLicenseExpression",
+    "canonicalize_license_expression",
+]
+
+
+# Simple __dir__ implementation since there are no public submodules
+def __dir__() -> list[str]:
+    return __all__
+
+
+license_ref_allowed = re.compile("^[A-Za-z0-9.-]*$")
+
+NormalizedLicenseExpression = NewType("NormalizedLicenseExpression", str)
+"""
+A :class:`typing.NewType` of :class:`str`, representing a normalized
+License-Expression.
+"""
+
+
+class InvalidLicenseExpression(ValueError):
+    """Raised when a license-expression string is invalid
+
+    >>> from packaging.licenses import canonicalize_license_expression
+    >>> canonicalize_license_expression("invalid")
+    Traceback (most recent call last):
+        ...
+    packaging.licenses.InvalidLicenseExpression: Invalid license expression: 'invalid'
+    """
+
+
+def canonicalize_license_expression(
+    raw_license_expression: str,
+) -> NormalizedLicenseExpression:
+    """
+    This function takes a valid License-Expression, and returns the normalized
+    form of it.
+
+    The return type is typed as :class:`NormalizedLicenseExpression`. This
+    allows type checkers to help require that a string has passed through this
+    function before use.
+
+    :param str raw_license_expression: The License-Expression to canonicalize.
+    :raises InvalidLicenseExpression: If the License-Expression is invalid due to an
+        invalid/unknown license identifier or invalid syntax.
+
+    .. doctest::
+
+        >>> from packaging.licenses import canonicalize_license_expression
+        >>> canonicalize_license_expression("mit")
+        'MIT'
+        >>> canonicalize_license_expression("mit and (apache-2.0 or bsd-2-clause)")
+        'MIT AND (Apache-2.0 OR BSD-2-Clause)'
+        >>> canonicalize_license_expression("(mit")
+        Traceback (most recent call last):
+          ...
+        InvalidLicenseExpression: Invalid license expression: '(mit'
+        >>> canonicalize_license_expression("Use-it-after-midnight")
+        Traceback (most recent call last):
+          ...
+        InvalidLicenseExpression: Unknown license: 'Use-it-after-midnight'
+    """
+    if not raw_license_expression:
+        message = f"Invalid license expression: {raw_license_expression!r}"
+        raise InvalidLicenseExpression(message)
+
+    # Pad any parentheses so tokenization can be achieved by merely splitting on
+    # whitespace.
+    license_expression = raw_license_expression.replace("(", " ( ").replace(")", " ) ")
+    licenseref_prefix = "LicenseRef-"
+    license_refs = {
+        ref.lower(): "LicenseRef-" + ref[len(licenseref_prefix) :]
+        for ref in license_expression.split()
+        if ref.lower().startswith(licenseref_prefix.lower())
+    }
+
+    # Normalize to lower case so we can look up licenses/exceptions
+    # and so boolean operators are Python-compatible.
+    license_expression = license_expression.lower()
+
+    tokens = license_expression.split()
+
+    # Rather than implementing a parenthesis/boolean logic parser, create an
+    # expression that Python can parse. Everything that is not involved with the
+    # grammar itself is replaced with the placeholder `False` and the resultant
+    # expression should become a valid Python expression.
+    python_tokens = []
+    for token in tokens:
+        if token not in {"or", "and", "with", "(", ")"}:
+            python_tokens.append("False")
+        elif token == "with":
+            python_tokens.append("or")
+        elif (
+            token == "("
+            and python_tokens
+            and python_tokens[-1] not in {"or", "and", "("}
+        ) or (token == ")" and python_tokens and python_tokens[-1] == "("):
+            message = f"Invalid license expression: {raw_license_expression!r}"
+            raise InvalidLicenseExpression(message)
+        else:
+            python_tokens.append(token)
+
+    python_expression = " ".join(python_tokens)
+    try:
+        compile(python_expression, "", "eval")
+    except SyntaxError:
+        message = f"Invalid license expression: {raw_license_expression!r}"
+        raise InvalidLicenseExpression(message) from None
+
+    # Take a final pass to check for unknown licenses/exceptions.
+    normalized_tokens = []
+    for token in tokens:
+        if token in {"or", "and", "with", "(", ")"}:
+            normalized_tokens.append(token.upper())
+            continue
+
+        if normalized_tokens and normalized_tokens[-1] == "WITH":
+            if token not in EXCEPTIONS:
+                message = f"Unknown license exception: {token!r}"
+                raise InvalidLicenseExpression(message)
+
+            normalized_tokens.append(EXCEPTIONS[token]["id"])
+        else:
+            if token.endswith("+"):
+                final_token = token[:-1]
+                suffix = "+"
+            else:
+                final_token = token
+                suffix = ""
+
+            if final_token.startswith("licenseref-"):
+                if not license_ref_allowed.match(final_token):
+                    message = f"Invalid licenseref: {final_token!r}"
+                    raise InvalidLicenseExpression(message)
+                normalized_tokens.append(license_refs[final_token] + suffix)
+            else:
+                if final_token not in LICENSES:
+                    message = f"Unknown license: {final_token!r}"
+                    raise InvalidLicenseExpression(message)
+                normalized_tokens.append(LICENSES[final_token]["id"] + suffix)
+
+    normalized_expression = " ".join(normalized_tokens)
+
+    return cast(
+        "NormalizedLicenseExpression",
+        normalized_expression.replace("( ", "(").replace(" )", ")"),
+    )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/licenses/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/licenses/__pycache__/__init__.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/licenses/_spdx.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/licenses/_spdx.py
new file mode 100644
index 0000000000000000000000000000000000000000..a277af28220b6dbe4599471104d1c7a2bd1e1288
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/licenses/_spdx.py
@@ -0,0 +1,799 @@
+
+from __future__ import annotations
+
+from typing import TypedDict
+
+class SPDXLicense(TypedDict):
+    id: str
+    deprecated: bool
+
+class SPDXException(TypedDict):
+    id: str
+    deprecated: bool
+
+
+VERSION = '3.27.0'
+
+LICENSES: dict[str, SPDXLicense] = {
+    '0bsd': {'id': '0BSD', 'deprecated': False},
+    '3d-slicer-1.0': {'id': '3D-Slicer-1.0', 'deprecated': False},
+    'aal': {'id': 'AAL', 'deprecated': False},
+    'abstyles': {'id': 'Abstyles', 'deprecated': False},
+    'adacore-doc': {'id': 'AdaCore-doc', 'deprecated': False},
+    'adobe-2006': {'id': 'Adobe-2006', 'deprecated': False},
+    'adobe-display-postscript': {'id': 'Adobe-Display-PostScript', 'deprecated': False},
+    'adobe-glyph': {'id': 'Adobe-Glyph', 'deprecated': False},
+    'adobe-utopia': {'id': 'Adobe-Utopia', 'deprecated': False},
+    'adsl': {'id': 'ADSL', 'deprecated': False},
+    'afl-1.1': {'id': 'AFL-1.1', 'deprecated': False},
+    'afl-1.2': {'id': 'AFL-1.2', 'deprecated': False},
+    'afl-2.0': {'id': 'AFL-2.0', 'deprecated': False},
+    'afl-2.1': {'id': 'AFL-2.1', 'deprecated': False},
+    'afl-3.0': {'id': 'AFL-3.0', 'deprecated': False},
+    'afmparse': {'id': 'Afmparse', 'deprecated': False},
+    'agpl-1.0': {'id': 'AGPL-1.0', 'deprecated': True},
+    'agpl-1.0-only': {'id': 'AGPL-1.0-only', 'deprecated': False},
+    'agpl-1.0-or-later': {'id': 'AGPL-1.0-or-later', 'deprecated': False},
+    'agpl-3.0': {'id': 'AGPL-3.0', 'deprecated': True},
+    'agpl-3.0-only': {'id': 'AGPL-3.0-only', 'deprecated': False},
+    'agpl-3.0-or-later': {'id': 'AGPL-3.0-or-later', 'deprecated': False},
+    'aladdin': {'id': 'Aladdin', 'deprecated': False},
+    'amd-newlib': {'id': 'AMD-newlib', 'deprecated': False},
+    'amdplpa': {'id': 'AMDPLPA', 'deprecated': False},
+    'aml': {'id': 'AML', 'deprecated': False},
+    'aml-glslang': {'id': 'AML-glslang', 'deprecated': False},
+    'ampas': {'id': 'AMPAS', 'deprecated': False},
+    'antlr-pd': {'id': 'ANTLR-PD', 'deprecated': False},
+    'antlr-pd-fallback': {'id': 'ANTLR-PD-fallback', 'deprecated': False},
+    'any-osi': {'id': 'any-OSI', 'deprecated': False},
+    'any-osi-perl-modules': {'id': 'any-OSI-perl-modules', 'deprecated': False},
+    'apache-1.0': {'id': 'Apache-1.0', 'deprecated': False},
+    'apache-1.1': {'id': 'Apache-1.1', 'deprecated': False},
+    'apache-2.0': {'id': 'Apache-2.0', 'deprecated': False},
+    'apafml': {'id': 'APAFML', 'deprecated': False},
+    'apl-1.0': {'id': 'APL-1.0', 'deprecated': False},
+    'app-s2p': {'id': 'App-s2p', 'deprecated': False},
+    'apsl-1.0': {'id': 'APSL-1.0', 'deprecated': False},
+    'apsl-1.1': {'id': 'APSL-1.1', 'deprecated': False},
+    'apsl-1.2': {'id': 'APSL-1.2', 'deprecated': False},
+    'apsl-2.0': {'id': 'APSL-2.0', 'deprecated': False},
+    'arphic-1999': {'id': 'Arphic-1999', 'deprecated': False},
+    'artistic-1.0': {'id': 'Artistic-1.0', 'deprecated': False},
+    'artistic-1.0-cl8': {'id': 'Artistic-1.0-cl8', 'deprecated': False},
+    'artistic-1.0-perl': {'id': 'Artistic-1.0-Perl', 'deprecated': False},
+    'artistic-2.0': {'id': 'Artistic-2.0', 'deprecated': False},
+    'artistic-dist': {'id': 'Artistic-dist', 'deprecated': False},
+    'aspell-ru': {'id': 'Aspell-RU', 'deprecated': False},
+    'aswf-digital-assets-1.0': {'id': 'ASWF-Digital-Assets-1.0', 'deprecated': False},
+    'aswf-digital-assets-1.1': {'id': 'ASWF-Digital-Assets-1.1', 'deprecated': False},
+    'baekmuk': {'id': 'Baekmuk', 'deprecated': False},
+    'bahyph': {'id': 'Bahyph', 'deprecated': False},
+    'barr': {'id': 'Barr', 'deprecated': False},
+    'bcrypt-solar-designer': {'id': 'bcrypt-Solar-Designer', 'deprecated': False},
+    'beerware': {'id': 'Beerware', 'deprecated': False},
+    'bitstream-charter': {'id': 'Bitstream-Charter', 'deprecated': False},
+    'bitstream-vera': {'id': 'Bitstream-Vera', 'deprecated': False},
+    'bittorrent-1.0': {'id': 'BitTorrent-1.0', 'deprecated': False},
+    'bittorrent-1.1': {'id': 'BitTorrent-1.1', 'deprecated': False},
+    'blessing': {'id': 'blessing', 'deprecated': False},
+    'blueoak-1.0.0': {'id': 'BlueOak-1.0.0', 'deprecated': False},
+    'boehm-gc': {'id': 'Boehm-GC', 'deprecated': False},
+    'boehm-gc-without-fee': {'id': 'Boehm-GC-without-fee', 'deprecated': False},
+    'borceux': {'id': 'Borceux', 'deprecated': False},
+    'brian-gladman-2-clause': {'id': 'Brian-Gladman-2-Clause', 'deprecated': False},
+    'brian-gladman-3-clause': {'id': 'Brian-Gladman-3-Clause', 'deprecated': False},
+    'bsd-1-clause': {'id': 'BSD-1-Clause', 'deprecated': False},
+    'bsd-2-clause': {'id': 'BSD-2-Clause', 'deprecated': False},
+    'bsd-2-clause-darwin': {'id': 'BSD-2-Clause-Darwin', 'deprecated': False},
+    'bsd-2-clause-first-lines': {'id': 'BSD-2-Clause-first-lines', 'deprecated': False},
+    'bsd-2-clause-freebsd': {'id': 'BSD-2-Clause-FreeBSD', 'deprecated': True},
+    'bsd-2-clause-netbsd': {'id': 'BSD-2-Clause-NetBSD', 'deprecated': True},
+    'bsd-2-clause-patent': {'id': 'BSD-2-Clause-Patent', 'deprecated': False},
+    'bsd-2-clause-pkgconf-disclaimer': {'id': 'BSD-2-Clause-pkgconf-disclaimer', 'deprecated': False},
+    'bsd-2-clause-views': {'id': 'BSD-2-Clause-Views', 'deprecated': False},
+    'bsd-3-clause': {'id': 'BSD-3-Clause', 'deprecated': False},
+    'bsd-3-clause-acpica': {'id': 'BSD-3-Clause-acpica', 'deprecated': False},
+    'bsd-3-clause-attribution': {'id': 'BSD-3-Clause-Attribution', 'deprecated': False},
+    'bsd-3-clause-clear': {'id': 'BSD-3-Clause-Clear', 'deprecated': False},
+    'bsd-3-clause-flex': {'id': 'BSD-3-Clause-flex', 'deprecated': False},
+    'bsd-3-clause-hp': {'id': 'BSD-3-Clause-HP', 'deprecated': False},
+    'bsd-3-clause-lbnl': {'id': 'BSD-3-Clause-LBNL', 'deprecated': False},
+    'bsd-3-clause-modification': {'id': 'BSD-3-Clause-Modification', 'deprecated': False},
+    'bsd-3-clause-no-military-license': {'id': 'BSD-3-Clause-No-Military-License', 'deprecated': False},
+    'bsd-3-clause-no-nuclear-license': {'id': 'BSD-3-Clause-No-Nuclear-License', 'deprecated': False},
+    'bsd-3-clause-no-nuclear-license-2014': {'id': 'BSD-3-Clause-No-Nuclear-License-2014', 'deprecated': False},
+    'bsd-3-clause-no-nuclear-warranty': {'id': 'BSD-3-Clause-No-Nuclear-Warranty', 'deprecated': False},
+    'bsd-3-clause-open-mpi': {'id': 'BSD-3-Clause-Open-MPI', 'deprecated': False},
+    'bsd-3-clause-sun': {'id': 'BSD-3-Clause-Sun', 'deprecated': False},
+    'bsd-4-clause': {'id': 'BSD-4-Clause', 'deprecated': False},
+    'bsd-4-clause-shortened': {'id': 'BSD-4-Clause-Shortened', 'deprecated': False},
+    'bsd-4-clause-uc': {'id': 'BSD-4-Clause-UC', 'deprecated': False},
+    'bsd-4.3reno': {'id': 'BSD-4.3RENO', 'deprecated': False},
+    'bsd-4.3tahoe': {'id': 'BSD-4.3TAHOE', 'deprecated': False},
+    'bsd-advertising-acknowledgement': {'id': 'BSD-Advertising-Acknowledgement', 'deprecated': False},
+    'bsd-attribution-hpnd-disclaimer': {'id': 'BSD-Attribution-HPND-disclaimer', 'deprecated': False},
+    'bsd-inferno-nettverk': {'id': 'BSD-Inferno-Nettverk', 'deprecated': False},
+    'bsd-protection': {'id': 'BSD-Protection', 'deprecated': False},
+    'bsd-source-beginning-file': {'id': 'BSD-Source-beginning-file', 'deprecated': False},
+    'bsd-source-code': {'id': 'BSD-Source-Code', 'deprecated': False},
+    'bsd-systemics': {'id': 'BSD-Systemics', 'deprecated': False},
+    'bsd-systemics-w3works': {'id': 'BSD-Systemics-W3Works', 'deprecated': False},
+    'bsl-1.0': {'id': 'BSL-1.0', 'deprecated': False},
+    'busl-1.1': {'id': 'BUSL-1.1', 'deprecated': False},
+    'bzip2-1.0.5': {'id': 'bzip2-1.0.5', 'deprecated': True},
+    'bzip2-1.0.6': {'id': 'bzip2-1.0.6', 'deprecated': False},
+    'c-uda-1.0': {'id': 'C-UDA-1.0', 'deprecated': False},
+    'cal-1.0': {'id': 'CAL-1.0', 'deprecated': False},
+    'cal-1.0-combined-work-exception': {'id': 'CAL-1.0-Combined-Work-Exception', 'deprecated': False},
+    'caldera': {'id': 'Caldera', 'deprecated': False},
+    'caldera-no-preamble': {'id': 'Caldera-no-preamble', 'deprecated': False},
+    'catharon': {'id': 'Catharon', 'deprecated': False},
+    'catosl-1.1': {'id': 'CATOSL-1.1', 'deprecated': False},
+    'cc-by-1.0': {'id': 'CC-BY-1.0', 'deprecated': False},
+    'cc-by-2.0': {'id': 'CC-BY-2.0', 'deprecated': False},
+    'cc-by-2.5': {'id': 'CC-BY-2.5', 'deprecated': False},
+    'cc-by-2.5-au': {'id': 'CC-BY-2.5-AU', 'deprecated': False},
+    'cc-by-3.0': {'id': 'CC-BY-3.0', 'deprecated': False},
+    'cc-by-3.0-at': {'id': 'CC-BY-3.0-AT', 'deprecated': False},
+    'cc-by-3.0-au': {'id': 'CC-BY-3.0-AU', 'deprecated': False},
+    'cc-by-3.0-de': {'id': 'CC-BY-3.0-DE', 'deprecated': False},
+    'cc-by-3.0-igo': {'id': 'CC-BY-3.0-IGO', 'deprecated': False},
+    'cc-by-3.0-nl': {'id': 'CC-BY-3.0-NL', 'deprecated': False},
+    'cc-by-3.0-us': {'id': 'CC-BY-3.0-US', 'deprecated': False},
+    'cc-by-4.0': {'id': 'CC-BY-4.0', 'deprecated': False},
+    'cc-by-nc-1.0': {'id': 'CC-BY-NC-1.0', 'deprecated': False},
+    'cc-by-nc-2.0': {'id': 'CC-BY-NC-2.0', 'deprecated': False},
+    'cc-by-nc-2.5': {'id': 'CC-BY-NC-2.5', 'deprecated': False},
+    'cc-by-nc-3.0': {'id': 'CC-BY-NC-3.0', 'deprecated': False},
+    'cc-by-nc-3.0-de': {'id': 'CC-BY-NC-3.0-DE', 'deprecated': False},
+    'cc-by-nc-4.0': {'id': 'CC-BY-NC-4.0', 'deprecated': False},
+    'cc-by-nc-nd-1.0': {'id': 'CC-BY-NC-ND-1.0', 'deprecated': False},
+    'cc-by-nc-nd-2.0': {'id': 'CC-BY-NC-ND-2.0', 'deprecated': False},
+    'cc-by-nc-nd-2.5': {'id': 'CC-BY-NC-ND-2.5', 'deprecated': False},
+    'cc-by-nc-nd-3.0': {'id': 'CC-BY-NC-ND-3.0', 'deprecated': False},
+    'cc-by-nc-nd-3.0-de': {'id': 'CC-BY-NC-ND-3.0-DE', 'deprecated': False},
+    'cc-by-nc-nd-3.0-igo': {'id': 'CC-BY-NC-ND-3.0-IGO', 'deprecated': False},
+    'cc-by-nc-nd-4.0': {'id': 'CC-BY-NC-ND-4.0', 'deprecated': False},
+    'cc-by-nc-sa-1.0': {'id': 'CC-BY-NC-SA-1.0', 'deprecated': False},
+    'cc-by-nc-sa-2.0': {'id': 'CC-BY-NC-SA-2.0', 'deprecated': False},
+    'cc-by-nc-sa-2.0-de': {'id': 'CC-BY-NC-SA-2.0-DE', 'deprecated': False},
+    'cc-by-nc-sa-2.0-fr': {'id': 'CC-BY-NC-SA-2.0-FR', 'deprecated': False},
+    'cc-by-nc-sa-2.0-uk': {'id': 'CC-BY-NC-SA-2.0-UK', 'deprecated': False},
+    'cc-by-nc-sa-2.5': {'id': 'CC-BY-NC-SA-2.5', 'deprecated': False},
+    'cc-by-nc-sa-3.0': {'id': 'CC-BY-NC-SA-3.0', 'deprecated': False},
+    'cc-by-nc-sa-3.0-de': {'id': 'CC-BY-NC-SA-3.0-DE', 'deprecated': False},
+    'cc-by-nc-sa-3.0-igo': {'id': 'CC-BY-NC-SA-3.0-IGO', 'deprecated': False},
+    'cc-by-nc-sa-4.0': {'id': 'CC-BY-NC-SA-4.0', 'deprecated': False},
+    'cc-by-nd-1.0': {'id': 'CC-BY-ND-1.0', 'deprecated': False},
+    'cc-by-nd-2.0': {'id': 'CC-BY-ND-2.0', 'deprecated': False},
+    'cc-by-nd-2.5': {'id': 'CC-BY-ND-2.5', 'deprecated': False},
+    'cc-by-nd-3.0': {'id': 'CC-BY-ND-3.0', 'deprecated': False},
+    'cc-by-nd-3.0-de': {'id': 'CC-BY-ND-3.0-DE', 'deprecated': False},
+    'cc-by-nd-4.0': {'id': 'CC-BY-ND-4.0', 'deprecated': False},
+    'cc-by-sa-1.0': {'id': 'CC-BY-SA-1.0', 'deprecated': False},
+    'cc-by-sa-2.0': {'id': 'CC-BY-SA-2.0', 'deprecated': False},
+    'cc-by-sa-2.0-uk': {'id': 'CC-BY-SA-2.0-UK', 'deprecated': False},
+    'cc-by-sa-2.1-jp': {'id': 'CC-BY-SA-2.1-JP', 'deprecated': False},
+    'cc-by-sa-2.5': {'id': 'CC-BY-SA-2.5', 'deprecated': False},
+    'cc-by-sa-3.0': {'id': 'CC-BY-SA-3.0', 'deprecated': False},
+    'cc-by-sa-3.0-at': {'id': 'CC-BY-SA-3.0-AT', 'deprecated': False},
+    'cc-by-sa-3.0-de': {'id': 'CC-BY-SA-3.0-DE', 'deprecated': False},
+    'cc-by-sa-3.0-igo': {'id': 'CC-BY-SA-3.0-IGO', 'deprecated': False},
+    'cc-by-sa-4.0': {'id': 'CC-BY-SA-4.0', 'deprecated': False},
+    'cc-pddc': {'id': 'CC-PDDC', 'deprecated': False},
+    'cc-pdm-1.0': {'id': 'CC-PDM-1.0', 'deprecated': False},
+    'cc-sa-1.0': {'id': 'CC-SA-1.0', 'deprecated': False},
+    'cc0-1.0': {'id': 'CC0-1.0', 'deprecated': False},
+    'cddl-1.0': {'id': 'CDDL-1.0', 'deprecated': False},
+    'cddl-1.1': {'id': 'CDDL-1.1', 'deprecated': False},
+    'cdl-1.0': {'id': 'CDL-1.0', 'deprecated': False},
+    'cdla-permissive-1.0': {'id': 'CDLA-Permissive-1.0', 'deprecated': False},
+    'cdla-permissive-2.0': {'id': 'CDLA-Permissive-2.0', 'deprecated': False},
+    'cdla-sharing-1.0': {'id': 'CDLA-Sharing-1.0', 'deprecated': False},
+    'cecill-1.0': {'id': 'CECILL-1.0', 'deprecated': False},
+    'cecill-1.1': {'id': 'CECILL-1.1', 'deprecated': False},
+    'cecill-2.0': {'id': 'CECILL-2.0', 'deprecated': False},
+    'cecill-2.1': {'id': 'CECILL-2.1', 'deprecated': False},
+    'cecill-b': {'id': 'CECILL-B', 'deprecated': False},
+    'cecill-c': {'id': 'CECILL-C', 'deprecated': False},
+    'cern-ohl-1.1': {'id': 'CERN-OHL-1.1', 'deprecated': False},
+    'cern-ohl-1.2': {'id': 'CERN-OHL-1.2', 'deprecated': False},
+    'cern-ohl-p-2.0': {'id': 'CERN-OHL-P-2.0', 'deprecated': False},
+    'cern-ohl-s-2.0': {'id': 'CERN-OHL-S-2.0', 'deprecated': False},
+    'cern-ohl-w-2.0': {'id': 'CERN-OHL-W-2.0', 'deprecated': False},
+    'cfitsio': {'id': 'CFITSIO', 'deprecated': False},
+    'check-cvs': {'id': 'check-cvs', 'deprecated': False},
+    'checkmk': {'id': 'checkmk', 'deprecated': False},
+    'clartistic': {'id': 'ClArtistic', 'deprecated': False},
+    'clips': {'id': 'Clips', 'deprecated': False},
+    'cmu-mach': {'id': 'CMU-Mach', 'deprecated': False},
+    'cmu-mach-nodoc': {'id': 'CMU-Mach-nodoc', 'deprecated': False},
+    'cnri-jython': {'id': 'CNRI-Jython', 'deprecated': False},
+    'cnri-python': {'id': 'CNRI-Python', 'deprecated': False},
+    'cnri-python-gpl-compatible': {'id': 'CNRI-Python-GPL-Compatible', 'deprecated': False},
+    'coil-1.0': {'id': 'COIL-1.0', 'deprecated': False},
+    'community-spec-1.0': {'id': 'Community-Spec-1.0', 'deprecated': False},
+    'condor-1.1': {'id': 'Condor-1.1', 'deprecated': False},
+    'copyleft-next-0.3.0': {'id': 'copyleft-next-0.3.0', 'deprecated': False},
+    'copyleft-next-0.3.1': {'id': 'copyleft-next-0.3.1', 'deprecated': False},
+    'cornell-lossless-jpeg': {'id': 'Cornell-Lossless-JPEG', 'deprecated': False},
+    'cpal-1.0': {'id': 'CPAL-1.0', 'deprecated': False},
+    'cpl-1.0': {'id': 'CPL-1.0', 'deprecated': False},
+    'cpol-1.02': {'id': 'CPOL-1.02', 'deprecated': False},
+    'cronyx': {'id': 'Cronyx', 'deprecated': False},
+    'crossword': {'id': 'Crossword', 'deprecated': False},
+    'cryptoswift': {'id': 'CryptoSwift', 'deprecated': False},
+    'crystalstacker': {'id': 'CrystalStacker', 'deprecated': False},
+    'cua-opl-1.0': {'id': 'CUA-OPL-1.0', 'deprecated': False},
+    'cube': {'id': 'Cube', 'deprecated': False},
+    'curl': {'id': 'curl', 'deprecated': False},
+    'cve-tou': {'id': 'cve-tou', 'deprecated': False},
+    'd-fsl-1.0': {'id': 'D-FSL-1.0', 'deprecated': False},
+    'dec-3-clause': {'id': 'DEC-3-Clause', 'deprecated': False},
+    'diffmark': {'id': 'diffmark', 'deprecated': False},
+    'dl-de-by-2.0': {'id': 'DL-DE-BY-2.0', 'deprecated': False},
+    'dl-de-zero-2.0': {'id': 'DL-DE-ZERO-2.0', 'deprecated': False},
+    'doc': {'id': 'DOC', 'deprecated': False},
+    'docbook-dtd': {'id': 'DocBook-DTD', 'deprecated': False},
+    'docbook-schema': {'id': 'DocBook-Schema', 'deprecated': False},
+    'docbook-stylesheet': {'id': 'DocBook-Stylesheet', 'deprecated': False},
+    'docbook-xml': {'id': 'DocBook-XML', 'deprecated': False},
+    'dotseqn': {'id': 'Dotseqn', 'deprecated': False},
+    'drl-1.0': {'id': 'DRL-1.0', 'deprecated': False},
+    'drl-1.1': {'id': 'DRL-1.1', 'deprecated': False},
+    'dsdp': {'id': 'DSDP', 'deprecated': False},
+    'dtoa': {'id': 'dtoa', 'deprecated': False},
+    'dvipdfm': {'id': 'dvipdfm', 'deprecated': False},
+    'ecl-1.0': {'id': 'ECL-1.0', 'deprecated': False},
+    'ecl-2.0': {'id': 'ECL-2.0', 'deprecated': False},
+    'ecos-2.0': {'id': 'eCos-2.0', 'deprecated': True},
+    'efl-1.0': {'id': 'EFL-1.0', 'deprecated': False},
+    'efl-2.0': {'id': 'EFL-2.0', 'deprecated': False},
+    'egenix': {'id': 'eGenix', 'deprecated': False},
+    'elastic-2.0': {'id': 'Elastic-2.0', 'deprecated': False},
+    'entessa': {'id': 'Entessa', 'deprecated': False},
+    'epics': {'id': 'EPICS', 'deprecated': False},
+    'epl-1.0': {'id': 'EPL-1.0', 'deprecated': False},
+    'epl-2.0': {'id': 'EPL-2.0', 'deprecated': False},
+    'erlpl-1.1': {'id': 'ErlPL-1.1', 'deprecated': False},
+    'etalab-2.0': {'id': 'etalab-2.0', 'deprecated': False},
+    'eudatagrid': {'id': 'EUDatagrid', 'deprecated': False},
+    'eupl-1.0': {'id': 'EUPL-1.0', 'deprecated': False},
+    'eupl-1.1': {'id': 'EUPL-1.1', 'deprecated': False},
+    'eupl-1.2': {'id': 'EUPL-1.2', 'deprecated': False},
+    'eurosym': {'id': 'Eurosym', 'deprecated': False},
+    'fair': {'id': 'Fair', 'deprecated': False},
+    'fbm': {'id': 'FBM', 'deprecated': False},
+    'fdk-aac': {'id': 'FDK-AAC', 'deprecated': False},
+    'ferguson-twofish': {'id': 'Ferguson-Twofish', 'deprecated': False},
+    'frameworx-1.0': {'id': 'Frameworx-1.0', 'deprecated': False},
+    'freebsd-doc': {'id': 'FreeBSD-DOC', 'deprecated': False},
+    'freeimage': {'id': 'FreeImage', 'deprecated': False},
+    'fsfap': {'id': 'FSFAP', 'deprecated': False},
+    'fsfap-no-warranty-disclaimer': {'id': 'FSFAP-no-warranty-disclaimer', 'deprecated': False},
+    'fsful': {'id': 'FSFUL', 'deprecated': False},
+    'fsfullr': {'id': 'FSFULLR', 'deprecated': False},
+    'fsfullrsd': {'id': 'FSFULLRSD', 'deprecated': False},
+    'fsfullrwd': {'id': 'FSFULLRWD', 'deprecated': False},
+    'fsl-1.1-alv2': {'id': 'FSL-1.1-ALv2', 'deprecated': False},
+    'fsl-1.1-mit': {'id': 'FSL-1.1-MIT', 'deprecated': False},
+    'ftl': {'id': 'FTL', 'deprecated': False},
+    'furuseth': {'id': 'Furuseth', 'deprecated': False},
+    'fwlw': {'id': 'fwlw', 'deprecated': False},
+    'game-programming-gems': {'id': 'Game-Programming-Gems', 'deprecated': False},
+    'gcr-docs': {'id': 'GCR-docs', 'deprecated': False},
+    'gd': {'id': 'GD', 'deprecated': False},
+    'generic-xts': {'id': 'generic-xts', 'deprecated': False},
+    'gfdl-1.1': {'id': 'GFDL-1.1', 'deprecated': True},
+    'gfdl-1.1-invariants-only': {'id': 'GFDL-1.1-invariants-only', 'deprecated': False},
+    'gfdl-1.1-invariants-or-later': {'id': 'GFDL-1.1-invariants-or-later', 'deprecated': False},
+    'gfdl-1.1-no-invariants-only': {'id': 'GFDL-1.1-no-invariants-only', 'deprecated': False},
+    'gfdl-1.1-no-invariants-or-later': {'id': 'GFDL-1.1-no-invariants-or-later', 'deprecated': False},
+    'gfdl-1.1-only': {'id': 'GFDL-1.1-only', 'deprecated': False},
+    'gfdl-1.1-or-later': {'id': 'GFDL-1.1-or-later', 'deprecated': False},
+    'gfdl-1.2': {'id': 'GFDL-1.2', 'deprecated': True},
+    'gfdl-1.2-invariants-only': {'id': 'GFDL-1.2-invariants-only', 'deprecated': False},
+    'gfdl-1.2-invariants-or-later': {'id': 'GFDL-1.2-invariants-or-later', 'deprecated': False},
+    'gfdl-1.2-no-invariants-only': {'id': 'GFDL-1.2-no-invariants-only', 'deprecated': False},
+    'gfdl-1.2-no-invariants-or-later': {'id': 'GFDL-1.2-no-invariants-or-later', 'deprecated': False},
+    'gfdl-1.2-only': {'id': 'GFDL-1.2-only', 'deprecated': False},
+    'gfdl-1.2-or-later': {'id': 'GFDL-1.2-or-later', 'deprecated': False},
+    'gfdl-1.3': {'id': 'GFDL-1.3', 'deprecated': True},
+    'gfdl-1.3-invariants-only': {'id': 'GFDL-1.3-invariants-only', 'deprecated': False},
+    'gfdl-1.3-invariants-or-later': {'id': 'GFDL-1.3-invariants-or-later', 'deprecated': False},
+    'gfdl-1.3-no-invariants-only': {'id': 'GFDL-1.3-no-invariants-only', 'deprecated': False},
+    'gfdl-1.3-no-invariants-or-later': {'id': 'GFDL-1.3-no-invariants-or-later', 'deprecated': False},
+    'gfdl-1.3-only': {'id': 'GFDL-1.3-only', 'deprecated': False},
+    'gfdl-1.3-or-later': {'id': 'GFDL-1.3-or-later', 'deprecated': False},
+    'giftware': {'id': 'Giftware', 'deprecated': False},
+    'gl2ps': {'id': 'GL2PS', 'deprecated': False},
+    'glide': {'id': 'Glide', 'deprecated': False},
+    'glulxe': {'id': 'Glulxe', 'deprecated': False},
+    'glwtpl': {'id': 'GLWTPL', 'deprecated': False},
+    'gnuplot': {'id': 'gnuplot', 'deprecated': False},
+    'gpl-1.0': {'id': 'GPL-1.0', 'deprecated': True},
+    'gpl-1.0+': {'id': 'GPL-1.0+', 'deprecated': True},
+    'gpl-1.0-only': {'id': 'GPL-1.0-only', 'deprecated': False},
+    'gpl-1.0-or-later': {'id': 'GPL-1.0-or-later', 'deprecated': False},
+    'gpl-2.0': {'id': 'GPL-2.0', 'deprecated': True},
+    'gpl-2.0+': {'id': 'GPL-2.0+', 'deprecated': True},
+    'gpl-2.0-only': {'id': 'GPL-2.0-only', 'deprecated': False},
+    'gpl-2.0-or-later': {'id': 'GPL-2.0-or-later', 'deprecated': False},
+    'gpl-2.0-with-autoconf-exception': {'id': 'GPL-2.0-with-autoconf-exception', 'deprecated': True},
+    'gpl-2.0-with-bison-exception': {'id': 'GPL-2.0-with-bison-exception', 'deprecated': True},
+    'gpl-2.0-with-classpath-exception': {'id': 'GPL-2.0-with-classpath-exception', 'deprecated': True},
+    'gpl-2.0-with-font-exception': {'id': 'GPL-2.0-with-font-exception', 'deprecated': True},
+    'gpl-2.0-with-gcc-exception': {'id': 'GPL-2.0-with-GCC-exception', 'deprecated': True},
+    'gpl-3.0': {'id': 'GPL-3.0', 'deprecated': True},
+    'gpl-3.0+': {'id': 'GPL-3.0+', 'deprecated': True},
+    'gpl-3.0-only': {'id': 'GPL-3.0-only', 'deprecated': False},
+    'gpl-3.0-or-later': {'id': 'GPL-3.0-or-later', 'deprecated': False},
+    'gpl-3.0-with-autoconf-exception': {'id': 'GPL-3.0-with-autoconf-exception', 'deprecated': True},
+    'gpl-3.0-with-gcc-exception': {'id': 'GPL-3.0-with-GCC-exception', 'deprecated': True},
+    'graphics-gems': {'id': 'Graphics-Gems', 'deprecated': False},
+    'gsoap-1.3b': {'id': 'gSOAP-1.3b', 'deprecated': False},
+    'gtkbook': {'id': 'gtkbook', 'deprecated': False},
+    'gutmann': {'id': 'Gutmann', 'deprecated': False},
+    'haskellreport': {'id': 'HaskellReport', 'deprecated': False},
+    'hdf5': {'id': 'HDF5', 'deprecated': False},
+    'hdparm': {'id': 'hdparm', 'deprecated': False},
+    'hidapi': {'id': 'HIDAPI', 'deprecated': False},
+    'hippocratic-2.1': {'id': 'Hippocratic-2.1', 'deprecated': False},
+    'hp-1986': {'id': 'HP-1986', 'deprecated': False},
+    'hp-1989': {'id': 'HP-1989', 'deprecated': False},
+    'hpnd': {'id': 'HPND', 'deprecated': False},
+    'hpnd-dec': {'id': 'HPND-DEC', 'deprecated': False},
+    'hpnd-doc': {'id': 'HPND-doc', 'deprecated': False},
+    'hpnd-doc-sell': {'id': 'HPND-doc-sell', 'deprecated': False},
+    'hpnd-export-us': {'id': 'HPND-export-US', 'deprecated': False},
+    'hpnd-export-us-acknowledgement': {'id': 'HPND-export-US-acknowledgement', 'deprecated': False},
+    'hpnd-export-us-modify': {'id': 'HPND-export-US-modify', 'deprecated': False},
+    'hpnd-export2-us': {'id': 'HPND-export2-US', 'deprecated': False},
+    'hpnd-fenneberg-livingston': {'id': 'HPND-Fenneberg-Livingston', 'deprecated': False},
+    'hpnd-inria-imag': {'id': 'HPND-INRIA-IMAG', 'deprecated': False},
+    'hpnd-intel': {'id': 'HPND-Intel', 'deprecated': False},
+    'hpnd-kevlin-henney': {'id': 'HPND-Kevlin-Henney', 'deprecated': False},
+    'hpnd-markus-kuhn': {'id': 'HPND-Markus-Kuhn', 'deprecated': False},
+    'hpnd-merchantability-variant': {'id': 'HPND-merchantability-variant', 'deprecated': False},
+    'hpnd-mit-disclaimer': {'id': 'HPND-MIT-disclaimer', 'deprecated': False},
+    'hpnd-netrek': {'id': 'HPND-Netrek', 'deprecated': False},
+    'hpnd-pbmplus': {'id': 'HPND-Pbmplus', 'deprecated': False},
+    'hpnd-sell-mit-disclaimer-xserver': {'id': 'HPND-sell-MIT-disclaimer-xserver', 'deprecated': False},
+    'hpnd-sell-regexpr': {'id': 'HPND-sell-regexpr', 'deprecated': False},
+    'hpnd-sell-variant': {'id': 'HPND-sell-variant', 'deprecated': False},
+    'hpnd-sell-variant-mit-disclaimer': {'id': 'HPND-sell-variant-MIT-disclaimer', 'deprecated': False},
+    'hpnd-sell-variant-mit-disclaimer-rev': {'id': 'HPND-sell-variant-MIT-disclaimer-rev', 'deprecated': False},
+    'hpnd-uc': {'id': 'HPND-UC', 'deprecated': False},
+    'hpnd-uc-export-us': {'id': 'HPND-UC-export-US', 'deprecated': False},
+    'htmltidy': {'id': 'HTMLTIDY', 'deprecated': False},
+    'ibm-pibs': {'id': 'IBM-pibs', 'deprecated': False},
+    'icu': {'id': 'ICU', 'deprecated': False},
+    'iec-code-components-eula': {'id': 'IEC-Code-Components-EULA', 'deprecated': False},
+    'ijg': {'id': 'IJG', 'deprecated': False},
+    'ijg-short': {'id': 'IJG-short', 'deprecated': False},
+    'imagemagick': {'id': 'ImageMagick', 'deprecated': False},
+    'imatix': {'id': 'iMatix', 'deprecated': False},
+    'imlib2': {'id': 'Imlib2', 'deprecated': False},
+    'info-zip': {'id': 'Info-ZIP', 'deprecated': False},
+    'inner-net-2.0': {'id': 'Inner-Net-2.0', 'deprecated': False},
+    'innosetup': {'id': 'InnoSetup', 'deprecated': False},
+    'intel': {'id': 'Intel', 'deprecated': False},
+    'intel-acpi': {'id': 'Intel-ACPI', 'deprecated': False},
+    'interbase-1.0': {'id': 'Interbase-1.0', 'deprecated': False},
+    'ipa': {'id': 'IPA', 'deprecated': False},
+    'ipl-1.0': {'id': 'IPL-1.0', 'deprecated': False},
+    'isc': {'id': 'ISC', 'deprecated': False},
+    'isc-veillard': {'id': 'ISC-Veillard', 'deprecated': False},
+    'jam': {'id': 'Jam', 'deprecated': False},
+    'jasper-2.0': {'id': 'JasPer-2.0', 'deprecated': False},
+    'jove': {'id': 'jove', 'deprecated': False},
+    'jpl-image': {'id': 'JPL-image', 'deprecated': False},
+    'jpnic': {'id': 'JPNIC', 'deprecated': False},
+    'json': {'id': 'JSON', 'deprecated': False},
+    'kastrup': {'id': 'Kastrup', 'deprecated': False},
+    'kazlib': {'id': 'Kazlib', 'deprecated': False},
+    'knuth-ctan': {'id': 'Knuth-CTAN', 'deprecated': False},
+    'lal-1.2': {'id': 'LAL-1.2', 'deprecated': False},
+    'lal-1.3': {'id': 'LAL-1.3', 'deprecated': False},
+    'latex2e': {'id': 'Latex2e', 'deprecated': False},
+    'latex2e-translated-notice': {'id': 'Latex2e-translated-notice', 'deprecated': False},
+    'leptonica': {'id': 'Leptonica', 'deprecated': False},
+    'lgpl-2.0': {'id': 'LGPL-2.0', 'deprecated': True},
+    'lgpl-2.0+': {'id': 'LGPL-2.0+', 'deprecated': True},
+    'lgpl-2.0-only': {'id': 'LGPL-2.0-only', 'deprecated': False},
+    'lgpl-2.0-or-later': {'id': 'LGPL-2.0-or-later', 'deprecated': False},
+    'lgpl-2.1': {'id': 'LGPL-2.1', 'deprecated': True},
+    'lgpl-2.1+': {'id': 'LGPL-2.1+', 'deprecated': True},
+    'lgpl-2.1-only': {'id': 'LGPL-2.1-only', 'deprecated': False},
+    'lgpl-2.1-or-later': {'id': 'LGPL-2.1-or-later', 'deprecated': False},
+    'lgpl-3.0': {'id': 'LGPL-3.0', 'deprecated': True},
+    'lgpl-3.0+': {'id': 'LGPL-3.0+', 'deprecated': True},
+    'lgpl-3.0-only': {'id': 'LGPL-3.0-only', 'deprecated': False},
+    'lgpl-3.0-or-later': {'id': 'LGPL-3.0-or-later', 'deprecated': False},
+    'lgpllr': {'id': 'LGPLLR', 'deprecated': False},
+    'libpng': {'id': 'Libpng', 'deprecated': False},
+    'libpng-1.6.35': {'id': 'libpng-1.6.35', 'deprecated': False},
+    'libpng-2.0': {'id': 'libpng-2.0', 'deprecated': False},
+    'libselinux-1.0': {'id': 'libselinux-1.0', 'deprecated': False},
+    'libtiff': {'id': 'libtiff', 'deprecated': False},
+    'libutil-david-nugent': {'id': 'libutil-David-Nugent', 'deprecated': False},
+    'liliq-p-1.1': {'id': 'LiLiQ-P-1.1', 'deprecated': False},
+    'liliq-r-1.1': {'id': 'LiLiQ-R-1.1', 'deprecated': False},
+    'liliq-rplus-1.1': {'id': 'LiLiQ-Rplus-1.1', 'deprecated': False},
+    'linux-man-pages-1-para': {'id': 'Linux-man-pages-1-para', 'deprecated': False},
+    'linux-man-pages-copyleft': {'id': 'Linux-man-pages-copyleft', 'deprecated': False},
+    'linux-man-pages-copyleft-2-para': {'id': 'Linux-man-pages-copyleft-2-para', 'deprecated': False},
+    'linux-man-pages-copyleft-var': {'id': 'Linux-man-pages-copyleft-var', 'deprecated': False},
+    'linux-openib': {'id': 'Linux-OpenIB', 'deprecated': False},
+    'loop': {'id': 'LOOP', 'deprecated': False},
+    'lpd-document': {'id': 'LPD-document', 'deprecated': False},
+    'lpl-1.0': {'id': 'LPL-1.0', 'deprecated': False},
+    'lpl-1.02': {'id': 'LPL-1.02', 'deprecated': False},
+    'lppl-1.0': {'id': 'LPPL-1.0', 'deprecated': False},
+    'lppl-1.1': {'id': 'LPPL-1.1', 'deprecated': False},
+    'lppl-1.2': {'id': 'LPPL-1.2', 'deprecated': False},
+    'lppl-1.3a': {'id': 'LPPL-1.3a', 'deprecated': False},
+    'lppl-1.3c': {'id': 'LPPL-1.3c', 'deprecated': False},
+    'lsof': {'id': 'lsof', 'deprecated': False},
+    'lucida-bitmap-fonts': {'id': 'Lucida-Bitmap-Fonts', 'deprecated': False},
+    'lzma-sdk-9.11-to-9.20': {'id': 'LZMA-SDK-9.11-to-9.20', 'deprecated': False},
+    'lzma-sdk-9.22': {'id': 'LZMA-SDK-9.22', 'deprecated': False},
+    'mackerras-3-clause': {'id': 'Mackerras-3-Clause', 'deprecated': False},
+    'mackerras-3-clause-acknowledgment': {'id': 'Mackerras-3-Clause-acknowledgment', 'deprecated': False},
+    'magaz': {'id': 'magaz', 'deprecated': False},
+    'mailprio': {'id': 'mailprio', 'deprecated': False},
+    'makeindex': {'id': 'MakeIndex', 'deprecated': False},
+    'man2html': {'id': 'man2html', 'deprecated': False},
+    'martin-birgmeier': {'id': 'Martin-Birgmeier', 'deprecated': False},
+    'mcphee-slideshow': {'id': 'McPhee-slideshow', 'deprecated': False},
+    'metamail': {'id': 'metamail', 'deprecated': False},
+    'minpack': {'id': 'Minpack', 'deprecated': False},
+    'mips': {'id': 'MIPS', 'deprecated': False},
+    'miros': {'id': 'MirOS', 'deprecated': False},
+    'mit': {'id': 'MIT', 'deprecated': False},
+    'mit-0': {'id': 'MIT-0', 'deprecated': False},
+    'mit-advertising': {'id': 'MIT-advertising', 'deprecated': False},
+    'mit-click': {'id': 'MIT-Click', 'deprecated': False},
+    'mit-cmu': {'id': 'MIT-CMU', 'deprecated': False},
+    'mit-enna': {'id': 'MIT-enna', 'deprecated': False},
+    'mit-feh': {'id': 'MIT-feh', 'deprecated': False},
+    'mit-festival': {'id': 'MIT-Festival', 'deprecated': False},
+    'mit-khronos-old': {'id': 'MIT-Khronos-old', 'deprecated': False},
+    'mit-modern-variant': {'id': 'MIT-Modern-Variant', 'deprecated': False},
+    'mit-open-group': {'id': 'MIT-open-group', 'deprecated': False},
+    'mit-testregex': {'id': 'MIT-testregex', 'deprecated': False},
+    'mit-wu': {'id': 'MIT-Wu', 'deprecated': False},
+    'mitnfa': {'id': 'MITNFA', 'deprecated': False},
+    'mmixware': {'id': 'MMIXware', 'deprecated': False},
+    'motosoto': {'id': 'Motosoto', 'deprecated': False},
+    'mpeg-ssg': {'id': 'MPEG-SSG', 'deprecated': False},
+    'mpi-permissive': {'id': 'mpi-permissive', 'deprecated': False},
+    'mpich2': {'id': 'mpich2', 'deprecated': False},
+    'mpl-1.0': {'id': 'MPL-1.0', 'deprecated': False},
+    'mpl-1.1': {'id': 'MPL-1.1', 'deprecated': False},
+    'mpl-2.0': {'id': 'MPL-2.0', 'deprecated': False},
+    'mpl-2.0-no-copyleft-exception': {'id': 'MPL-2.0-no-copyleft-exception', 'deprecated': False},
+    'mplus': {'id': 'mplus', 'deprecated': False},
+    'ms-lpl': {'id': 'MS-LPL', 'deprecated': False},
+    'ms-pl': {'id': 'MS-PL', 'deprecated': False},
+    'ms-rl': {'id': 'MS-RL', 'deprecated': False},
+    'mtll': {'id': 'MTLL', 'deprecated': False},
+    'mulanpsl-1.0': {'id': 'MulanPSL-1.0', 'deprecated': False},
+    'mulanpsl-2.0': {'id': 'MulanPSL-2.0', 'deprecated': False},
+    'multics': {'id': 'Multics', 'deprecated': False},
+    'mup': {'id': 'Mup', 'deprecated': False},
+    'naist-2003': {'id': 'NAIST-2003', 'deprecated': False},
+    'nasa-1.3': {'id': 'NASA-1.3', 'deprecated': False},
+    'naumen': {'id': 'Naumen', 'deprecated': False},
+    'nbpl-1.0': {'id': 'NBPL-1.0', 'deprecated': False},
+    'ncbi-pd': {'id': 'NCBI-PD', 'deprecated': False},
+    'ncgl-uk-2.0': {'id': 'NCGL-UK-2.0', 'deprecated': False},
+    'ncl': {'id': 'NCL', 'deprecated': False},
+    'ncsa': {'id': 'NCSA', 'deprecated': False},
+    'net-snmp': {'id': 'Net-SNMP', 'deprecated': True},
+    'netcdf': {'id': 'NetCDF', 'deprecated': False},
+    'newsletr': {'id': 'Newsletr', 'deprecated': False},
+    'ngpl': {'id': 'NGPL', 'deprecated': False},
+    'ngrep': {'id': 'ngrep', 'deprecated': False},
+    'nicta-1.0': {'id': 'NICTA-1.0', 'deprecated': False},
+    'nist-pd': {'id': 'NIST-PD', 'deprecated': False},
+    'nist-pd-fallback': {'id': 'NIST-PD-fallback', 'deprecated': False},
+    'nist-software': {'id': 'NIST-Software', 'deprecated': False},
+    'nlod-1.0': {'id': 'NLOD-1.0', 'deprecated': False},
+    'nlod-2.0': {'id': 'NLOD-2.0', 'deprecated': False},
+    'nlpl': {'id': 'NLPL', 'deprecated': False},
+    'nokia': {'id': 'Nokia', 'deprecated': False},
+    'nosl': {'id': 'NOSL', 'deprecated': False},
+    'noweb': {'id': 'Noweb', 'deprecated': False},
+    'npl-1.0': {'id': 'NPL-1.0', 'deprecated': False},
+    'npl-1.1': {'id': 'NPL-1.1', 'deprecated': False},
+    'nposl-3.0': {'id': 'NPOSL-3.0', 'deprecated': False},
+    'nrl': {'id': 'NRL', 'deprecated': False},
+    'ntia-pd': {'id': 'NTIA-PD', 'deprecated': False},
+    'ntp': {'id': 'NTP', 'deprecated': False},
+    'ntp-0': {'id': 'NTP-0', 'deprecated': False},
+    'nunit': {'id': 'Nunit', 'deprecated': True},
+    'o-uda-1.0': {'id': 'O-UDA-1.0', 'deprecated': False},
+    'oar': {'id': 'OAR', 'deprecated': False},
+    'occt-pl': {'id': 'OCCT-PL', 'deprecated': False},
+    'oclc-2.0': {'id': 'OCLC-2.0', 'deprecated': False},
+    'odbl-1.0': {'id': 'ODbL-1.0', 'deprecated': False},
+    'odc-by-1.0': {'id': 'ODC-By-1.0', 'deprecated': False},
+    'offis': {'id': 'OFFIS', 'deprecated': False},
+    'ofl-1.0': {'id': 'OFL-1.0', 'deprecated': False},
+    'ofl-1.0-no-rfn': {'id': 'OFL-1.0-no-RFN', 'deprecated': False},
+    'ofl-1.0-rfn': {'id': 'OFL-1.0-RFN', 'deprecated': False},
+    'ofl-1.1': {'id': 'OFL-1.1', 'deprecated': False},
+    'ofl-1.1-no-rfn': {'id': 'OFL-1.1-no-RFN', 'deprecated': False},
+    'ofl-1.1-rfn': {'id': 'OFL-1.1-RFN', 'deprecated': False},
+    'ogc-1.0': {'id': 'OGC-1.0', 'deprecated': False},
+    'ogdl-taiwan-1.0': {'id': 'OGDL-Taiwan-1.0', 'deprecated': False},
+    'ogl-canada-2.0': {'id': 'OGL-Canada-2.0', 'deprecated': False},
+    'ogl-uk-1.0': {'id': 'OGL-UK-1.0', 'deprecated': False},
+    'ogl-uk-2.0': {'id': 'OGL-UK-2.0', 'deprecated': False},
+    'ogl-uk-3.0': {'id': 'OGL-UK-3.0', 'deprecated': False},
+    'ogtsl': {'id': 'OGTSL', 'deprecated': False},
+    'oldap-1.1': {'id': 'OLDAP-1.1', 'deprecated': False},
+    'oldap-1.2': {'id': 'OLDAP-1.2', 'deprecated': False},
+    'oldap-1.3': {'id': 'OLDAP-1.3', 'deprecated': False},
+    'oldap-1.4': {'id': 'OLDAP-1.4', 'deprecated': False},
+    'oldap-2.0': {'id': 'OLDAP-2.0', 'deprecated': False},
+    'oldap-2.0.1': {'id': 'OLDAP-2.0.1', 'deprecated': False},
+    'oldap-2.1': {'id': 'OLDAP-2.1', 'deprecated': False},
+    'oldap-2.2': {'id': 'OLDAP-2.2', 'deprecated': False},
+    'oldap-2.2.1': {'id': 'OLDAP-2.2.1', 'deprecated': False},
+    'oldap-2.2.2': {'id': 'OLDAP-2.2.2', 'deprecated': False},
+    'oldap-2.3': {'id': 'OLDAP-2.3', 'deprecated': False},
+    'oldap-2.4': {'id': 'OLDAP-2.4', 'deprecated': False},
+    'oldap-2.5': {'id': 'OLDAP-2.5', 'deprecated': False},
+    'oldap-2.6': {'id': 'OLDAP-2.6', 'deprecated': False},
+    'oldap-2.7': {'id': 'OLDAP-2.7', 'deprecated': False},
+    'oldap-2.8': {'id': 'OLDAP-2.8', 'deprecated': False},
+    'olfl-1.3': {'id': 'OLFL-1.3', 'deprecated': False},
+    'oml': {'id': 'OML', 'deprecated': False},
+    'openpbs-2.3': {'id': 'OpenPBS-2.3', 'deprecated': False},
+    'openssl': {'id': 'OpenSSL', 'deprecated': False},
+    'openssl-standalone': {'id': 'OpenSSL-standalone', 'deprecated': False},
+    'openvision': {'id': 'OpenVision', 'deprecated': False},
+    'opl-1.0': {'id': 'OPL-1.0', 'deprecated': False},
+    'opl-uk-3.0': {'id': 'OPL-UK-3.0', 'deprecated': False},
+    'opubl-1.0': {'id': 'OPUBL-1.0', 'deprecated': False},
+    'oset-pl-2.1': {'id': 'OSET-PL-2.1', 'deprecated': False},
+    'osl-1.0': {'id': 'OSL-1.0', 'deprecated': False},
+    'osl-1.1': {'id': 'OSL-1.1', 'deprecated': False},
+    'osl-2.0': {'id': 'OSL-2.0', 'deprecated': False},
+    'osl-2.1': {'id': 'OSL-2.1', 'deprecated': False},
+    'osl-3.0': {'id': 'OSL-3.0', 'deprecated': False},
+    'padl': {'id': 'PADL', 'deprecated': False},
+    'parity-6.0.0': {'id': 'Parity-6.0.0', 'deprecated': False},
+    'parity-7.0.0': {'id': 'Parity-7.0.0', 'deprecated': False},
+    'pddl-1.0': {'id': 'PDDL-1.0', 'deprecated': False},
+    'php-3.0': {'id': 'PHP-3.0', 'deprecated': False},
+    'php-3.01': {'id': 'PHP-3.01', 'deprecated': False},
+    'pixar': {'id': 'Pixar', 'deprecated': False},
+    'pkgconf': {'id': 'pkgconf', 'deprecated': False},
+    'plexus': {'id': 'Plexus', 'deprecated': False},
+    'pnmstitch': {'id': 'pnmstitch', 'deprecated': False},
+    'polyform-noncommercial-1.0.0': {'id': 'PolyForm-Noncommercial-1.0.0', 'deprecated': False},
+    'polyform-small-business-1.0.0': {'id': 'PolyForm-Small-Business-1.0.0', 'deprecated': False},
+    'postgresql': {'id': 'PostgreSQL', 'deprecated': False},
+    'ppl': {'id': 'PPL', 'deprecated': False},
+    'psf-2.0': {'id': 'PSF-2.0', 'deprecated': False},
+    'psfrag': {'id': 'psfrag', 'deprecated': False},
+    'psutils': {'id': 'psutils', 'deprecated': False},
+    'python-2.0': {'id': 'Python-2.0', 'deprecated': False},
+    'python-2.0.1': {'id': 'Python-2.0.1', 'deprecated': False},
+    'python-ldap': {'id': 'python-ldap', 'deprecated': False},
+    'qhull': {'id': 'Qhull', 'deprecated': False},
+    'qpl-1.0': {'id': 'QPL-1.0', 'deprecated': False},
+    'qpl-1.0-inria-2004': {'id': 'QPL-1.0-INRIA-2004', 'deprecated': False},
+    'radvd': {'id': 'radvd', 'deprecated': False},
+    'rdisc': {'id': 'Rdisc', 'deprecated': False},
+    'rhecos-1.1': {'id': 'RHeCos-1.1', 'deprecated': False},
+    'rpl-1.1': {'id': 'RPL-1.1', 'deprecated': False},
+    'rpl-1.5': {'id': 'RPL-1.5', 'deprecated': False},
+    'rpsl-1.0': {'id': 'RPSL-1.0', 'deprecated': False},
+    'rsa-md': {'id': 'RSA-MD', 'deprecated': False},
+    'rscpl': {'id': 'RSCPL', 'deprecated': False},
+    'ruby': {'id': 'Ruby', 'deprecated': False},
+    'ruby-pty': {'id': 'Ruby-pty', 'deprecated': False},
+    'sax-pd': {'id': 'SAX-PD', 'deprecated': False},
+    'sax-pd-2.0': {'id': 'SAX-PD-2.0', 'deprecated': False},
+    'saxpath': {'id': 'Saxpath', 'deprecated': False},
+    'scea': {'id': 'SCEA', 'deprecated': False},
+    'schemereport': {'id': 'SchemeReport', 'deprecated': False},
+    'sendmail': {'id': 'Sendmail', 'deprecated': False},
+    'sendmail-8.23': {'id': 'Sendmail-8.23', 'deprecated': False},
+    'sendmail-open-source-1.1': {'id': 'Sendmail-Open-Source-1.1', 'deprecated': False},
+    'sgi-b-1.0': {'id': 'SGI-B-1.0', 'deprecated': False},
+    'sgi-b-1.1': {'id': 'SGI-B-1.1', 'deprecated': False},
+    'sgi-b-2.0': {'id': 'SGI-B-2.0', 'deprecated': False},
+    'sgi-opengl': {'id': 'SGI-OpenGL', 'deprecated': False},
+    'sgp4': {'id': 'SGP4', 'deprecated': False},
+    'shl-0.5': {'id': 'SHL-0.5', 'deprecated': False},
+    'shl-0.51': {'id': 'SHL-0.51', 'deprecated': False},
+    'simpl-2.0': {'id': 'SimPL-2.0', 'deprecated': False},
+    'sissl': {'id': 'SISSL', 'deprecated': False},
+    'sissl-1.2': {'id': 'SISSL-1.2', 'deprecated': False},
+    'sl': {'id': 'SL', 'deprecated': False},
+    'sleepycat': {'id': 'Sleepycat', 'deprecated': False},
+    'smail-gpl': {'id': 'SMAIL-GPL', 'deprecated': False},
+    'smlnj': {'id': 'SMLNJ', 'deprecated': False},
+    'smppl': {'id': 'SMPPL', 'deprecated': False},
+    'snia': {'id': 'SNIA', 'deprecated': False},
+    'snprintf': {'id': 'snprintf', 'deprecated': False},
+    'sofa': {'id': 'SOFA', 'deprecated': False},
+    'softsurfer': {'id': 'softSurfer', 'deprecated': False},
+    'soundex': {'id': 'Soundex', 'deprecated': False},
+    'spencer-86': {'id': 'Spencer-86', 'deprecated': False},
+    'spencer-94': {'id': 'Spencer-94', 'deprecated': False},
+    'spencer-99': {'id': 'Spencer-99', 'deprecated': False},
+    'spl-1.0': {'id': 'SPL-1.0', 'deprecated': False},
+    'ssh-keyscan': {'id': 'ssh-keyscan', 'deprecated': False},
+    'ssh-openssh': {'id': 'SSH-OpenSSH', 'deprecated': False},
+    'ssh-short': {'id': 'SSH-short', 'deprecated': False},
+    'ssleay-standalone': {'id': 'SSLeay-standalone', 'deprecated': False},
+    'sspl-1.0': {'id': 'SSPL-1.0', 'deprecated': False},
+    'standardml-nj': {'id': 'StandardML-NJ', 'deprecated': True},
+    'sugarcrm-1.1.3': {'id': 'SugarCRM-1.1.3', 'deprecated': False},
+    'sul-1.0': {'id': 'SUL-1.0', 'deprecated': False},
+    'sun-ppp': {'id': 'Sun-PPP', 'deprecated': False},
+    'sun-ppp-2000': {'id': 'Sun-PPP-2000', 'deprecated': False},
+    'sunpro': {'id': 'SunPro', 'deprecated': False},
+    'swl': {'id': 'SWL', 'deprecated': False},
+    'swrule': {'id': 'swrule', 'deprecated': False},
+    'symlinks': {'id': 'Symlinks', 'deprecated': False},
+    'tapr-ohl-1.0': {'id': 'TAPR-OHL-1.0', 'deprecated': False},
+    'tcl': {'id': 'TCL', 'deprecated': False},
+    'tcp-wrappers': {'id': 'TCP-wrappers', 'deprecated': False},
+    'termreadkey': {'id': 'TermReadKey', 'deprecated': False},
+    'tgppl-1.0': {'id': 'TGPPL-1.0', 'deprecated': False},
+    'thirdeye': {'id': 'ThirdEye', 'deprecated': False},
+    'threeparttable': {'id': 'threeparttable', 'deprecated': False},
+    'tmate': {'id': 'TMate', 'deprecated': False},
+    'torque-1.1': {'id': 'TORQUE-1.1', 'deprecated': False},
+    'tosl': {'id': 'TOSL', 'deprecated': False},
+    'tpdl': {'id': 'TPDL', 'deprecated': False},
+    'tpl-1.0': {'id': 'TPL-1.0', 'deprecated': False},
+    'trustedqsl': {'id': 'TrustedQSL', 'deprecated': False},
+    'ttwl': {'id': 'TTWL', 'deprecated': False},
+    'ttyp0': {'id': 'TTYP0', 'deprecated': False},
+    'tu-berlin-1.0': {'id': 'TU-Berlin-1.0', 'deprecated': False},
+    'tu-berlin-2.0': {'id': 'TU-Berlin-2.0', 'deprecated': False},
+    'ubuntu-font-1.0': {'id': 'Ubuntu-font-1.0', 'deprecated': False},
+    'ucar': {'id': 'UCAR', 'deprecated': False},
+    'ucl-1.0': {'id': 'UCL-1.0', 'deprecated': False},
+    'ulem': {'id': 'ulem', 'deprecated': False},
+    'umich-merit': {'id': 'UMich-Merit', 'deprecated': False},
+    'unicode-3.0': {'id': 'Unicode-3.0', 'deprecated': False},
+    'unicode-dfs-2015': {'id': 'Unicode-DFS-2015', 'deprecated': False},
+    'unicode-dfs-2016': {'id': 'Unicode-DFS-2016', 'deprecated': False},
+    'unicode-tou': {'id': 'Unicode-TOU', 'deprecated': False},
+    'unixcrypt': {'id': 'UnixCrypt', 'deprecated': False},
+    'unlicense': {'id': 'Unlicense', 'deprecated': False},
+    'unlicense-libtelnet': {'id': 'Unlicense-libtelnet', 'deprecated': False},
+    'unlicense-libwhirlpool': {'id': 'Unlicense-libwhirlpool', 'deprecated': False},
+    'upl-1.0': {'id': 'UPL-1.0', 'deprecated': False},
+    'urt-rle': {'id': 'URT-RLE', 'deprecated': False},
+    'vim': {'id': 'Vim', 'deprecated': False},
+    'vostrom': {'id': 'VOSTROM', 'deprecated': False},
+    'vsl-1.0': {'id': 'VSL-1.0', 'deprecated': False},
+    'w3c': {'id': 'W3C', 'deprecated': False},
+    'w3c-19980720': {'id': 'W3C-19980720', 'deprecated': False},
+    'w3c-20150513': {'id': 'W3C-20150513', 'deprecated': False},
+    'w3m': {'id': 'w3m', 'deprecated': False},
+    'watcom-1.0': {'id': 'Watcom-1.0', 'deprecated': False},
+    'widget-workshop': {'id': 'Widget-Workshop', 'deprecated': False},
+    'wsuipa': {'id': 'Wsuipa', 'deprecated': False},
+    'wtfpl': {'id': 'WTFPL', 'deprecated': False},
+    'wwl': {'id': 'wwl', 'deprecated': False},
+    'wxwindows': {'id': 'wxWindows', 'deprecated': True},
+    'x11': {'id': 'X11', 'deprecated': False},
+    'x11-distribute-modifications-variant': {'id': 'X11-distribute-modifications-variant', 'deprecated': False},
+    'x11-swapped': {'id': 'X11-swapped', 'deprecated': False},
+    'xdebug-1.03': {'id': 'Xdebug-1.03', 'deprecated': False},
+    'xerox': {'id': 'Xerox', 'deprecated': False},
+    'xfig': {'id': 'Xfig', 'deprecated': False},
+    'xfree86-1.1': {'id': 'XFree86-1.1', 'deprecated': False},
+    'xinetd': {'id': 'xinetd', 'deprecated': False},
+    'xkeyboard-config-zinoviev': {'id': 'xkeyboard-config-Zinoviev', 'deprecated': False},
+    'xlock': {'id': 'xlock', 'deprecated': False},
+    'xnet': {'id': 'Xnet', 'deprecated': False},
+    'xpp': {'id': 'xpp', 'deprecated': False},
+    'xskat': {'id': 'XSkat', 'deprecated': False},
+    'xzoom': {'id': 'xzoom', 'deprecated': False},
+    'ypl-1.0': {'id': 'YPL-1.0', 'deprecated': False},
+    'ypl-1.1': {'id': 'YPL-1.1', 'deprecated': False},
+    'zed': {'id': 'Zed', 'deprecated': False},
+    'zeeff': {'id': 'Zeeff', 'deprecated': False},
+    'zend-2.0': {'id': 'Zend-2.0', 'deprecated': False},
+    'zimbra-1.3': {'id': 'Zimbra-1.3', 'deprecated': False},
+    'zimbra-1.4': {'id': 'Zimbra-1.4', 'deprecated': False},
+    'zlib': {'id': 'Zlib', 'deprecated': False},
+    'zlib-acknowledgement': {'id': 'zlib-acknowledgement', 'deprecated': False},
+    'zpl-1.1': {'id': 'ZPL-1.1', 'deprecated': False},
+    'zpl-2.0': {'id': 'ZPL-2.0', 'deprecated': False},
+    'zpl-2.1': {'id': 'ZPL-2.1', 'deprecated': False},
+}
+
+EXCEPTIONS: dict[str, SPDXException] = {
+    '389-exception': {'id': '389-exception', 'deprecated': False},
+    'asterisk-exception': {'id': 'Asterisk-exception', 'deprecated': False},
+    'asterisk-linking-protocols-exception': {'id': 'Asterisk-linking-protocols-exception', 'deprecated': False},
+    'autoconf-exception-2.0': {'id': 'Autoconf-exception-2.0', 'deprecated': False},
+    'autoconf-exception-3.0': {'id': 'Autoconf-exception-3.0', 'deprecated': False},
+    'autoconf-exception-generic': {'id': 'Autoconf-exception-generic', 'deprecated': False},
+    'autoconf-exception-generic-3.0': {'id': 'Autoconf-exception-generic-3.0', 'deprecated': False},
+    'autoconf-exception-macro': {'id': 'Autoconf-exception-macro', 'deprecated': False},
+    'bison-exception-1.24': {'id': 'Bison-exception-1.24', 'deprecated': False},
+    'bison-exception-2.2': {'id': 'Bison-exception-2.2', 'deprecated': False},
+    'bootloader-exception': {'id': 'Bootloader-exception', 'deprecated': False},
+    'cgal-linking-exception': {'id': 'CGAL-linking-exception', 'deprecated': False},
+    'classpath-exception-2.0': {'id': 'Classpath-exception-2.0', 'deprecated': False},
+    'clisp-exception-2.0': {'id': 'CLISP-exception-2.0', 'deprecated': False},
+    'cryptsetup-openssl-exception': {'id': 'cryptsetup-OpenSSL-exception', 'deprecated': False},
+    'digia-qt-lgpl-exception-1.1': {'id': 'Digia-Qt-LGPL-exception-1.1', 'deprecated': False},
+    'digirule-foss-exception': {'id': 'DigiRule-FOSS-exception', 'deprecated': False},
+    'ecos-exception-2.0': {'id': 'eCos-exception-2.0', 'deprecated': False},
+    'erlang-otp-linking-exception': {'id': 'erlang-otp-linking-exception', 'deprecated': False},
+    'fawkes-runtime-exception': {'id': 'Fawkes-Runtime-exception', 'deprecated': False},
+    'fltk-exception': {'id': 'FLTK-exception', 'deprecated': False},
+    'fmt-exception': {'id': 'fmt-exception', 'deprecated': False},
+    'font-exception-2.0': {'id': 'Font-exception-2.0', 'deprecated': False},
+    'freertos-exception-2.0': {'id': 'freertos-exception-2.0', 'deprecated': False},
+    'gcc-exception-2.0': {'id': 'GCC-exception-2.0', 'deprecated': False},
+    'gcc-exception-2.0-note': {'id': 'GCC-exception-2.0-note', 'deprecated': False},
+    'gcc-exception-3.1': {'id': 'GCC-exception-3.1', 'deprecated': False},
+    'gmsh-exception': {'id': 'Gmsh-exception', 'deprecated': False},
+    'gnat-exception': {'id': 'GNAT-exception', 'deprecated': False},
+    'gnome-examples-exception': {'id': 'GNOME-examples-exception', 'deprecated': False},
+    'gnu-compiler-exception': {'id': 'GNU-compiler-exception', 'deprecated': False},
+    'gnu-javamail-exception': {'id': 'gnu-javamail-exception', 'deprecated': False},
+    'gpl-3.0-389-ds-base-exception': {'id': 'GPL-3.0-389-ds-base-exception', 'deprecated': False},
+    'gpl-3.0-interface-exception': {'id': 'GPL-3.0-interface-exception', 'deprecated': False},
+    'gpl-3.0-linking-exception': {'id': 'GPL-3.0-linking-exception', 'deprecated': False},
+    'gpl-3.0-linking-source-exception': {'id': 'GPL-3.0-linking-source-exception', 'deprecated': False},
+    'gpl-cc-1.0': {'id': 'GPL-CC-1.0', 'deprecated': False},
+    'gstreamer-exception-2005': {'id': 'GStreamer-exception-2005', 'deprecated': False},
+    'gstreamer-exception-2008': {'id': 'GStreamer-exception-2008', 'deprecated': False},
+    'harbour-exception': {'id': 'harbour-exception', 'deprecated': False},
+    'i2p-gpl-java-exception': {'id': 'i2p-gpl-java-exception', 'deprecated': False},
+    'independent-modules-exception': {'id': 'Independent-modules-exception', 'deprecated': False},
+    'kicad-libraries-exception': {'id': 'KiCad-libraries-exception', 'deprecated': False},
+    'lgpl-3.0-linking-exception': {'id': 'LGPL-3.0-linking-exception', 'deprecated': False},
+    'libpri-openh323-exception': {'id': 'libpri-OpenH323-exception', 'deprecated': False},
+    'libtool-exception': {'id': 'Libtool-exception', 'deprecated': False},
+    'linux-syscall-note': {'id': 'Linux-syscall-note', 'deprecated': False},
+    'llgpl': {'id': 'LLGPL', 'deprecated': False},
+    'llvm-exception': {'id': 'LLVM-exception', 'deprecated': False},
+    'lzma-exception': {'id': 'LZMA-exception', 'deprecated': False},
+    'mif-exception': {'id': 'mif-exception', 'deprecated': False},
+    'mxml-exception': {'id': 'mxml-exception', 'deprecated': False},
+    'nokia-qt-exception-1.1': {'id': 'Nokia-Qt-exception-1.1', 'deprecated': True},
+    'ocaml-lgpl-linking-exception': {'id': 'OCaml-LGPL-linking-exception', 'deprecated': False},
+    'occt-exception-1.0': {'id': 'OCCT-exception-1.0', 'deprecated': False},
+    'openjdk-assembly-exception-1.0': {'id': 'OpenJDK-assembly-exception-1.0', 'deprecated': False},
+    'openvpn-openssl-exception': {'id': 'openvpn-openssl-exception', 'deprecated': False},
+    'pcre2-exception': {'id': 'PCRE2-exception', 'deprecated': False},
+    'polyparse-exception': {'id': 'polyparse-exception', 'deprecated': False},
+    'ps-or-pdf-font-exception-20170817': {'id': 'PS-or-PDF-font-exception-20170817', 'deprecated': False},
+    'qpl-1.0-inria-2004-exception': {'id': 'QPL-1.0-INRIA-2004-exception', 'deprecated': False},
+    'qt-gpl-exception-1.0': {'id': 'Qt-GPL-exception-1.0', 'deprecated': False},
+    'qt-lgpl-exception-1.1': {'id': 'Qt-LGPL-exception-1.1', 'deprecated': False},
+    'qwt-exception-1.0': {'id': 'Qwt-exception-1.0', 'deprecated': False},
+    'romic-exception': {'id': 'romic-exception', 'deprecated': False},
+    'rrdtool-floss-exception-2.0': {'id': 'RRDtool-FLOSS-exception-2.0', 'deprecated': False},
+    'sane-exception': {'id': 'SANE-exception', 'deprecated': False},
+    'shl-2.0': {'id': 'SHL-2.0', 'deprecated': False},
+    'shl-2.1': {'id': 'SHL-2.1', 'deprecated': False},
+    'stunnel-exception': {'id': 'stunnel-exception', 'deprecated': False},
+    'swi-exception': {'id': 'SWI-exception', 'deprecated': False},
+    'swift-exception': {'id': 'Swift-exception', 'deprecated': False},
+    'texinfo-exception': {'id': 'Texinfo-exception', 'deprecated': False},
+    'u-boot-exception-2.0': {'id': 'u-boot-exception-2.0', 'deprecated': False},
+    'ubdl-exception': {'id': 'UBDL-exception', 'deprecated': False},
+    'universal-foss-exception-1.0': {'id': 'Universal-FOSS-exception-1.0', 'deprecated': False},
+    'vsftpd-openssl-exception': {'id': 'vsftpd-openssl-exception', 'deprecated': False},
+    'wxwindows-exception-3.1': {'id': 'WxWindows-exception-3.1', 'deprecated': False},
+    'x11vnc-openssl-exception': {'id': 'x11vnc-openssl-exception', 'deprecated': False},
+}
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/markers.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/markers.py
new file mode 100644
index 0000000000000000000000000000000000000000..62846452f943f3697998f1822e71cc16537e6f92
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/markers.py
@@ -0,0 +1,492 @@
+# This file is dual licensed under the terms of the Apache License, Version
+# 2.0, and the BSD License. See the LICENSE file in the root of this repository
+# for complete details.
+
+from __future__ import annotations
+
+import operator
+import os
+import platform
+import sys
+from typing import AbstractSet, Callable, Literal, Mapping, TypedDict, Union, cast
+
+from ._parser import MarkerAtom, MarkerList, Op, Value, Variable
+from ._parser import parse_marker as _parse_marker
+from ._tokenizer import ParserSyntaxError
+from .specifiers import InvalidSpecifier, Specifier
+from .utils import canonicalize_name
+
+__all__ = [
+    "Environment",
+    "EvaluateContext",
+    "InvalidMarker",
+    "Marker",
+    "UndefinedComparison",
+    "UndefinedEnvironmentName",
+    "default_environment",
+]
+
+
+def __dir__() -> list[str]:
+    return __all__
+
+
+Operator = Callable[[str, Union[str, AbstractSet[str]]], bool]
+EvaluateContext = Literal["metadata", "lock_file", "requirement"]
+"""A ``typing.Literal`` enumerating valid marker evaluation contexts.
+
+Valid values for the ``context`` passed to :meth:`Marker.evaluate` are:
+
+* ``"metadata"`` (for core metadata; default)
+* ``"lock_file"`` (for lock files)
+* ``"requirement"`` (i.e. all other situations)
+"""
+
+MARKERS_ALLOWING_SET = {"extras", "dependency_groups"}
+MARKERS_REQUIRING_VERSION = {
+    "implementation_version",
+    "platform_release",
+    "python_full_version",
+    "python_version",
+}
+
+
+class InvalidMarker(ValueError):
+    """Raised when attempting to create a :class:`Marker` from invalid input.
+
+    This error indicates that the given marker string does not conform to the
+    :ref:`specification of dependency specifiers `.
+    """
+
+
+class UndefinedComparison(ValueError):
+    """Raised when evaluating an unsupported marker comparison.
+
+    This can happen when marker values are compared as versions but do not
+    conform to the :ref:`specification of version specifiers
+    `.
+    """
+
+
+class UndefinedEnvironmentName(ValueError):
+    """Raised when evaluating a marker that references a missing environment key."""
+
+
+class Environment(TypedDict):
+    """
+    A dictionary that represents a Python environment as captured by
+    :func:`default_environment`. All fields are required.
+    """
+
+    implementation_name: str
+    """The implementation's identifier, e.g. ``'cpython'``."""
+
+    implementation_version: str
+    """
+    The implementation's version, e.g. ``'3.13.0a2'`` for CPython 3.13.0a2, or
+    ``'7.3.13'`` for PyPy3.10 v7.3.13.
+    """
+
+    os_name: str
+    """
+    The value of :py:data:`os.name`. The name of the operating system dependent module
+    imported, e.g. ``'posix'``.
+    """
+
+    platform_machine: str
+    """
+    Returns the machine type, e.g. ``'i386'``.
+
+    An empty string if the value cannot be determined.
+    """
+
+    platform_release: str
+    """
+    The system's release, e.g. ``'2.2.0'`` or ``'NT'``.
+
+    An empty string if the value cannot be determined.
+    """
+
+    platform_system: str
+    """
+    The system/OS name, e.g. ``'Linux'``, ``'Windows'`` or ``'Java'``.
+
+    An empty string if the value cannot be determined.
+    """
+
+    platform_version: str
+    """
+    The system's release version, e.g. ``'#3 on degas'``.
+
+    An empty string if the value cannot be determined.
+    """
+
+    python_full_version: str
+    """
+    The Python version as string ``'major.minor.patchlevel'``.
+
+    Note that unlike the Python :py:data:`sys.version`, this value will always include
+    the patchlevel (it defaults to 0).
+    """
+
+    platform_python_implementation: str
+    """
+    A string identifying the Python implementation, e.g. ``'CPython'``.
+    """
+
+    python_version: str
+    """The Python version as string ``'major.minor'``."""
+
+    sys_platform: str
+    """
+    This string contains a platform identifier that can be used to append
+    platform-specific components to :py:data:`sys.path`, for instance.
+
+    For Unix systems, except on Linux and AIX, this is the lowercased OS name as
+    returned by ``uname -s`` with the first part of the version as returned by
+    ``uname -r`` appended, e.g. ``'sunos5'`` or ``'freebsd8'``, at the time when Python
+    was built.
+    """
+
+
+def _normalize_extras(
+    result: MarkerList | MarkerAtom | str,
+) -> MarkerList | MarkerAtom | str:
+    if not isinstance(result, tuple):
+        return result
+
+    lhs, op, rhs = result
+    if isinstance(lhs, Variable) and lhs.value == "extra":
+        normalized_extra = canonicalize_name(rhs.value)
+        rhs = Value(normalized_extra)
+    elif isinstance(rhs, Variable) and rhs.value == "extra":
+        normalized_extra = canonicalize_name(lhs.value)
+        lhs = Value(normalized_extra)
+    return lhs, op, rhs
+
+
+def _normalize_extra_values(results: MarkerList) -> MarkerList:
+    """
+    Normalize extra values.
+    """
+
+    return [_normalize_extras(r) for r in results]
+
+
+def _format_marker(
+    marker: list[str] | MarkerAtom | str, first: bool | None = True
+) -> str:
+    assert isinstance(marker, (list, tuple, str))
+
+    # Sometimes we have a structure like [[...]] which is a single item list
+    # where the single item is itself it's own list. In that case we want skip
+    # the rest of this function so that we don't get extraneous () on the
+    # outside.
+    if (
+        isinstance(marker, list)
+        and len(marker) == 1
+        and isinstance(marker[0], (list, tuple))
+    ):
+        return _format_marker(marker[0])
+
+    if isinstance(marker, list):
+        inner = (_format_marker(m, first=False) for m in marker)
+        if first:
+            return " ".join(inner)
+        else:
+            return "(" + " ".join(inner) + ")"
+    elif isinstance(marker, tuple):
+        return " ".join([m.serialize() for m in marker])
+    else:
+        return marker
+
+
+_operators: dict[str, Operator] = {
+    "in": lambda lhs, rhs: lhs in rhs,
+    "not in": lambda lhs, rhs: lhs not in rhs,
+    "<": lambda _lhs, _rhs: False,
+    "<=": operator.eq,
+    "==": operator.eq,
+    "!=": operator.ne,
+    ">=": operator.eq,
+    ">": lambda _lhs, _rhs: False,
+}
+
+
+def _eval_op(lhs: str, op: Op, rhs: str | AbstractSet[str], *, key: str) -> bool:
+    op_str = op.serialize()
+    if key in MARKERS_REQUIRING_VERSION:
+        try:
+            spec = Specifier(f"{op_str}{rhs}")
+        except InvalidSpecifier:
+            pass
+        else:
+            return spec.contains(lhs, prereleases=True)
+
+    oper: Operator | None = _operators.get(op_str)
+    if oper is None:
+        raise UndefinedComparison(f"Undefined {op!r} on {lhs!r} and {rhs!r}.")
+
+    return oper(lhs, rhs)
+
+
+def _normalize(
+    lhs: str, rhs: str | AbstractSet[str], key: str
+) -> tuple[str, str | AbstractSet[str]]:
+    # PEP 685 - Comparison of extra names for optional distribution dependencies
+    # https://peps.python.org/pep-0685/
+    # > When comparing extra names, tools MUST normalize the names being
+    # > compared using the semantics outlined in PEP 503 for names
+    if key == "extra":
+        assert isinstance(rhs, str), "extra value must be a string"
+        # Both sides are normalized at this point already
+        return (lhs, rhs)
+    if key in MARKERS_ALLOWING_SET:
+        if isinstance(rhs, str):  # pragma: no cover
+            return (canonicalize_name(lhs), canonicalize_name(rhs))
+        else:
+            return (canonicalize_name(lhs), {canonicalize_name(v) for v in rhs})
+
+    # other environment markers don't have such standards
+    return lhs, rhs
+
+
+def _evaluate_markers(
+    markers: MarkerList, environment: dict[str, str | AbstractSet[str]]
+) -> bool:
+    groups: list[list[bool]] = [[]]
+
+    for marker in markers:
+        if isinstance(marker, list):
+            groups[-1].append(_evaluate_markers(marker, environment))
+        elif isinstance(marker, tuple):
+            lhs, op, rhs = marker
+
+            if isinstance(lhs, Variable):
+                environment_key = lhs.value
+                lhs_value = environment[environment_key]
+                rhs_value = rhs.value
+            else:
+                lhs_value = lhs.value
+                environment_key = rhs.value
+                rhs_value = environment[environment_key]
+
+            assert isinstance(lhs_value, str), "lhs must be a string"
+            lhs_value, rhs_value = _normalize(lhs_value, rhs_value, key=environment_key)
+            groups[-1].append(_eval_op(lhs_value, op, rhs_value, key=environment_key))
+        elif marker == "or":
+            groups.append([])
+        elif marker == "and":
+            pass
+        else:  # pragma: nocover
+            raise TypeError(f"Unexpected marker {marker!r}")
+
+    return any(all(item) for item in groups)
+
+
+def _format_full_version(info: sys._version_info) -> str:
+    version = f"{info.major}.{info.minor}.{info.micro}"
+    kind = info.releaselevel
+    if kind != "final":
+        version += kind[0] + str(info.serial)
+    return version
+
+
+def default_environment() -> Environment:
+    """Return the default marker environment for the current Python process.
+
+    This is the base environment used by :meth:`Marker.evaluate`.
+    """
+    iver = _format_full_version(sys.implementation.version)
+    implementation_name = sys.implementation.name
+    return {
+        "implementation_name": implementation_name,
+        "implementation_version": iver,
+        "os_name": os.name,
+        "platform_machine": platform.machine(),
+        "platform_release": platform.release(),
+        "platform_system": platform.system(),
+        "platform_version": platform.version(),
+        "python_full_version": platform.python_version(),
+        "platform_python_implementation": platform.python_implementation(),
+        "python_version": ".".join(platform.python_version_tuple()[:2]),
+        "sys_platform": sys.platform,
+    }
+
+
+class Marker:
+    """Represents a parsed dependency marker expression.
+
+    Marker expressions are parsed according to the
+    :ref:`specification of dependency specifiers `.
+
+    :param marker: The string representation of a marker expression.
+    :raises InvalidMarker: If ``marker`` cannot be parsed.
+
+    Instances are safe to serialize with :mod:`pickle`. They use a stable
+    format so the same pickle can be loaded in future packaging releases.
+
+    .. versionchanged:: 26.2
+
+        Added a stable pickle format. Pickles created with packaging 26.2+ can
+        be unpickled with future releases.  Backward compatibility with pickles
+        from pip._vendor.packaging < 26.2 is supported but may be removed in a future
+        release.
+    """
+
+    __slots__ = ("_markers",)
+
+    def __init__(self, marker: str) -> None:
+        # Note: We create a Marker object without calling this constructor in
+        #       packaging.requirements.Requirement. If any additional logic is
+        #       added here, make sure to mirror/adapt Requirement.
+
+        # If this fails and throws an error, the repr still expects _markers to
+        # be defined.
+        self._markers: MarkerList = []
+
+        try:
+            self._markers = _normalize_extra_values(_parse_marker(marker))
+            # The attribute `_markers` can be described in terms of a recursive type:
+            # MarkerList = List[Union[Tuple[Node, ...], str, MarkerList]]
+            #
+            # For example, the following expression:
+            # python_version > "3.6" or (python_version == "3.6" and os_name == "unix")
+            #
+            # is parsed into:
+            # [
+            #     (, ')>, ),
+            #     'and',
+            #     [
+            #         (, , ),
+            #         'or',
+            #         (, , )
+            #     ]
+            # ]
+        except ParserSyntaxError as e:
+            raise InvalidMarker(str(e)) from e
+
+    @classmethod
+    def _from_markers(cls, markers: MarkerList) -> Marker:
+        """Create a Marker instance from a pre-parsed marker tree.
+
+        This avoids re-parsing serialised marker strings when combining markers.
+        """
+        new = cls.__new__(cls)
+        new._markers = markers
+        return new
+
+    def __str__(self) -> str:
+        return _format_marker(self._markers)
+
+    def __repr__(self) -> str:
+        return f"<{self.__class__.__name__}({str(self)!r})>"
+
+    def __hash__(self) -> int:
+        return hash(str(self))
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, Marker):
+            return NotImplemented
+
+        return str(self) == str(other)
+
+    def __getstate__(self) -> str:
+        # Return the marker expression string for compactness and stability.
+        # Internal Node objects are excluded; the string is re-parsed on load.
+        return str(self)
+
+    def __setstate__(self, state: object) -> None:
+        if isinstance(state, str):
+            # New format (26.2+): just the marker expression string.
+            try:
+                self._markers = _normalize_extra_values(_parse_marker(state))
+            except ParserSyntaxError as exc:
+                raise TypeError(f"Cannot restore Marker from {state!r}") from exc
+            return
+        if isinstance(state, dict) and "_markers" in state:
+            # Old format (packaging <= 26.1, no __slots__): plain __dict__.
+            markers = state["_markers"]
+            if isinstance(markers, list):
+                self._markers = markers
+                return
+        if isinstance(state, tuple) and len(state) == 2:
+            # Old format (packaging <= 26.1, __slots__): (None, {slot: value}).
+            _, slot_dict = state
+            if isinstance(slot_dict, dict) and "_markers" in slot_dict:
+                markers = slot_dict["_markers"]
+                if isinstance(markers, list):
+                    self._markers = markers
+                    return
+        raise TypeError(f"Cannot restore Marker from {state!r}")
+
+    def __and__(self, other: Marker) -> Marker:
+        if not isinstance(other, Marker):
+            return NotImplemented
+        return self._from_markers([self._markers, "and", other._markers])
+
+    def __or__(self, other: Marker) -> Marker:
+        if not isinstance(other, Marker):
+            return NotImplemented
+        return self._from_markers([self._markers, "or", other._markers])
+
+    def evaluate(
+        self,
+        environment: Mapping[str, str | AbstractSet[str]] | None = None,
+        context: EvaluateContext = "metadata",
+    ) -> bool:
+        """Evaluate a marker.
+
+        Return the boolean from evaluating this marker against the environment.
+        The environment is determined from the current Python process unless
+        passed in explicitly.
+
+        :param environment: Mapping containing keys and values to override the
+           detected environment.
+        :param EvaluateContext context: The context in which the marker is
+            evaluated, which influences what marker names are considered valid.
+            Accepted values are ``"metadata"`` (for core metadata; default),
+            ``"lock_file"``, and ``"requirement"`` (i.e. all other situations).
+        :raises UndefinedComparison: If the marker uses a comparison on values
+            that are not valid versions per the :ref:`specification of version
+            specifiers `.
+        :raises UndefinedEnvironmentName: If the marker references a value that
+            is missing from the evaluation environment.
+        :returns: ``True`` if the marker matches, otherwise ``False``.
+
+        """
+        current_environment = cast(
+            "dict[str, str | AbstractSet[str]]", default_environment()
+        )
+        if context == "lock_file":
+            current_environment.update(
+                extras=frozenset(), dependency_groups=frozenset()
+            )
+        elif context == "metadata":
+            current_environment["extra"] = ""
+
+        if environment is not None:
+            current_environment.update(environment)
+            if "extra" in current_environment:
+                # The API used to allow setting extra to None. We need to handle
+                # this case for backwards compatibility. Also skip running
+                # normalize name if extra is empty.
+                extra = cast("str | None", current_environment["extra"])
+                current_environment["extra"] = canonicalize_name(extra) if extra else ""
+
+        return _evaluate_markers(
+            self._markers, _repair_python_full_version(current_environment)
+        )
+
+
+def _repair_python_full_version(
+    env: dict[str, str | AbstractSet[str]],
+) -> dict[str, str | AbstractSet[str]]:
+    """
+    Work around platform.python_version() returning something that is not PEP 440
+    compliant for non-tagged Python builds.
+    """
+    python_full_version = cast("str", env["python_full_version"])
+    if python_full_version.endswith("+"):
+        env["python_full_version"] = f"{python_full_version}local"
+    return env
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/metadata.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/metadata.py
new file mode 100644
index 0000000000000000000000000000000000000000..dccb627dea31193b8bb1082223dcdc4305fcfb18
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/metadata.py
@@ -0,0 +1,964 @@
+from __future__ import annotations
+
+import email.header
+import email.message
+import email.parser
+import email.policy
+import keyword
+import pathlib
+import typing
+from typing import (
+    Any,
+    Callable,
+    Generic,
+    Literal,
+    TypedDict,
+    cast,
+)
+
+from . import licenses, requirements, specifiers, utils
+from . import version as version_module
+from .errors import ExceptionGroup, _ErrorCollector
+
+if typing.TYPE_CHECKING:
+    from .licenses import NormalizedLicenseExpression
+
+T = typing.TypeVar("T")
+
+
+__all__ = [
+    "ExceptionGroup",  # Keep this for a bit (makes mypy happy w/ 26.0 compat)
+    "InvalidMetadata",
+    "Metadata",
+    "RFC822Message",
+    "RFC822Policy",
+    "RawMetadata",
+    "parse_email",
+]
+
+
+def __dir__() -> list[str]:
+    return __all__
+
+
+class InvalidMetadata(ValueError):
+    """A metadata field contains invalid data."""
+
+    field: str
+    """The name of the field that contains invalid data."""
+
+    def __init__(self, field: str, message: str) -> None:
+        self.field = field
+        super().__init__(message)
+
+
+# The RawMetadata class attempts to make as few assumptions about the underlying
+# serialization formats as possible. The idea is that as long as a serialization
+# formats offer some very basic primitives in *some* way then we can support
+# serializing to and from that format.
+class RawMetadata(TypedDict, total=False):
+    """A dictionary of raw core metadata.
+
+    Each field in core metadata maps to a key of this dictionary (when data is
+    provided). The key is lower-case and underscores are used instead of dashes
+    compared to the equivalent core metadata field. Any core metadata field that
+    can be specified multiple times or can hold multiple values in a single
+    field have a key with a plural name. See :class:`Metadata` whose attributes
+    match the keys of this dictionary.
+
+    Core metadata fields that can be specified multiple times are stored as a
+    list or dict depending on which is appropriate for the field. Any fields
+    which hold multiple values in a single field are stored as a list. All fields
+    are considered optional.
+    """
+
+    # Metadata 1.0 - PEP 241
+    metadata_version: str
+    name: str
+    version: str
+    platforms: list[str]
+    summary: str
+    description: str
+    keywords: list[str]
+    home_page: str
+    author: str
+    author_email: str
+    license: str
+
+    # Metadata 1.1 - PEP 314
+    supported_platforms: list[str]
+    download_url: str
+    classifiers: list[str]
+    requires: list[str]
+    provides: list[str]
+    obsoletes: list[str]
+
+    # Metadata 1.2 - PEP 345
+    maintainer: str
+    maintainer_email: str
+    requires_dist: list[str]
+    provides_dist: list[str]
+    obsoletes_dist: list[str]
+    requires_python: str
+    requires_external: list[str]
+    project_urls: dict[str, str]
+
+    # Metadata 2.0
+    # PEP 426 attempted to completely revamp the metadata format
+    # but got stuck without ever being able to build consensus on
+    # it and ultimately ended up withdrawn.
+    #
+    # However, a number of tools had started emitting METADATA with
+    # `2.0` Metadata-Version, so for historical reasons, this version
+    # was skipped.
+
+    # Metadata 2.1 - PEP 566
+    description_content_type: str
+    provides_extra: list[str]
+
+    # Metadata 2.2 - PEP 643
+    dynamic: list[str]
+
+    # Metadata 2.3 - PEP 685
+    # No new fields were added in PEP 685, just some edge case were
+    # tightened up to provide better interoperability.
+
+    # Metadata 2.4 - PEP 639
+    license_expression: str
+    license_files: list[str]
+
+    # Metadata 2.5 - PEP 794
+    import_names: list[str]
+    import_namespaces: list[str]
+
+
+# 'keywords' is special as it's a string in the core metadata spec, but we
+# represent it as a list.
+_STRING_FIELDS = {
+    "author",
+    "author_email",
+    "description",
+    "description_content_type",
+    "download_url",
+    "home_page",
+    "license",
+    "license_expression",
+    "maintainer",
+    "maintainer_email",
+    "metadata_version",
+    "name",
+    "requires_python",
+    "summary",
+    "version",
+}
+
+_LIST_FIELDS = {
+    "classifiers",
+    "dynamic",
+    "license_files",
+    "obsoletes",
+    "obsoletes_dist",
+    "platforms",
+    "provides",
+    "provides_dist",
+    "provides_extra",
+    "requires",
+    "requires_dist",
+    "requires_external",
+    "supported_platforms",
+    "import_names",
+    "import_namespaces",
+}
+
+_DICT_FIELDS = {
+    "project_urls",
+}
+
+
+def _parse_keywords(data: str) -> list[str]:
+    """Split a string of comma-separated keywords into a list of keywords."""
+    return [k.strip() for k in data.split(",")]
+
+
+def _parse_project_urls(data: list[str]) -> dict[str, str]:
+    """Parse a list of label/URL string pairings separated by a comma."""
+    urls = {}
+    for pair in data:
+        # Our logic is slightly tricky here as we want to try and do
+        # *something* reasonable with malformed data.
+        #
+        # The main thing that we have to worry about, is data that does
+        # not have a ',' at all to split the label from the Value. There
+        # isn't a singular right answer here, and we will fail validation
+        # later on (if the caller is validating) so it doesn't *really*
+        # matter, but since the missing value has to be an empty str
+        # and our return value is dict[str, str], if we let the key
+        # be the missing value, then they'd have multiple '' values that
+        # overwrite each other in a accumulating dict.
+        #
+        # The other potential issue is that it's possible to have the
+        # same label multiple times in the metadata, with no solid "right"
+        # answer with what to do in that case. As such, we'll do the only
+        # thing we can, which is treat the field as unparsable and add it
+        # to our list of unparsed fields.
+        #
+        # TODO: The spec doesn't say anything about if the keys should be
+        #       considered case sensitive or not... logically they should
+        #       be case-preserving and case-insensitive, but doing that
+        #       would open up more cases where we might have duplicate
+        #       entries.
+        label, _, url = (s.strip() for s in pair.partition(","))
+
+        if label in urls:
+            # The label already exists in our set of urls, so this field
+            # is unparsable, and we can just add the whole thing to our
+            # unparsable data and stop processing it.
+            raise KeyError("duplicate labels in project urls")
+        urls[label] = url
+
+    return urls
+
+
+def _get_payload(msg: email.message.Message, source: bytes | str) -> str:
+    """Get the body of the message."""
+    # If our source is a str, then our caller has managed encodings for us,
+    # and we don't need to deal with it.
+    if isinstance(source, str):
+        payload = msg.get_payload()
+        assert isinstance(payload, str)
+        return payload
+    # If our source is a bytes, then we're managing the encoding and we need
+    # to deal with it.
+    else:
+        bpayload = msg.get_payload(decode=True)
+        assert isinstance(bpayload, bytes)
+        try:
+            return bpayload.decode("utf8", "strict")
+        except UnicodeDecodeError as exc:
+            raise ValueError("payload in an invalid encoding") from exc
+
+
+# The various parse_FORMAT functions here are intended to be as lenient as
+# possible in their parsing, while still returning a correctly typed
+# RawMetadata.
+#
+# To aid in this, we also generally want to do as little touching of the
+# data as possible, except where there are possibly some historic holdovers
+# that make valid data awkward to work with.
+#
+# While this is a lower level, intermediate format than our ``Metadata``
+# class, some light touch ups can make a massive difference in usability.
+
+# Map METADATA fields to RawMetadata.
+_EMAIL_TO_RAW_MAPPING = {
+    "author": "author",
+    "author-email": "author_email",
+    "classifier": "classifiers",
+    "description": "description",
+    "description-content-type": "description_content_type",
+    "download-url": "download_url",
+    "dynamic": "dynamic",
+    "home-page": "home_page",
+    "import-name": "import_names",
+    "import-namespace": "import_namespaces",
+    "keywords": "keywords",
+    "license": "license",
+    "license-expression": "license_expression",
+    "license-file": "license_files",
+    "maintainer": "maintainer",
+    "maintainer-email": "maintainer_email",
+    "metadata-version": "metadata_version",
+    "name": "name",
+    "obsoletes": "obsoletes",
+    "obsoletes-dist": "obsoletes_dist",
+    "platform": "platforms",
+    "project-url": "project_urls",
+    "provides": "provides",
+    "provides-dist": "provides_dist",
+    "provides-extra": "provides_extra",
+    "requires": "requires",
+    "requires-dist": "requires_dist",
+    "requires-external": "requires_external",
+    "requires-python": "requires_python",
+    "summary": "summary",
+    "supported-platform": "supported_platforms",
+    "version": "version",
+}
+_RAW_TO_EMAIL_MAPPING = {raw: email for email, raw in _EMAIL_TO_RAW_MAPPING.items()}
+
+
+# This class is for writing RFC822 messages
+class RFC822Policy(email.policy.EmailPolicy):
+    """
+    This is :class:`email.policy.EmailPolicy`, but with a simple ``header_store_parse``
+    implementation that handles multi-line values, and some nice defaults.
+    """
+
+    utf8 = True
+    mangle_from_ = False
+    max_line_length = 0
+
+    def header_store_parse(self, name: str, value: str) -> tuple[str, str]:
+        size = len(name) + 2
+        value = value.replace("\n", "\n" + " " * size)
+        return (name, value)
+
+
+# This class is for writing RFC822 messages
+class RFC822Message(email.message.EmailMessage):
+    """
+    This is :class:`email.message.EmailMessage` with two small changes: it defaults to
+    our `RFC822Policy`, and it correctly writes unicode when being called
+    with `bytes()`.
+    """
+
+    def __init__(self) -> None:
+        super().__init__(policy=RFC822Policy())
+
+    def as_bytes(
+        self, unixfrom: bool = False, policy: email.policy.Policy | None = None
+    ) -> bytes:
+        """
+        Return the bytes representation of the message.
+
+        This handles unicode encoding.
+        """
+        return self.as_string(unixfrom, policy=policy).encode("utf-8")
+
+
+def parse_email(data: bytes | str) -> tuple[RawMetadata, dict[str, list[str]]]:
+    """Parse a distribution's metadata stored as email headers (e.g. from ``METADATA``).
+
+    This function returns a two-item tuple of dicts. The first dict is of
+    recognized fields from the core metadata specification. Fields that can be
+    parsed and translated into Python's built-in types are converted
+    appropriately. All other fields are left as-is. Fields that are allowed to
+    appear multiple times are stored as lists.
+
+    The second dict contains all other fields from the metadata. This includes
+    any unrecognized fields. It also includes any fields which are expected to
+    be parsed into a built-in type but were not formatted appropriately. Finally,
+    any fields that are expected to appear only once but are repeated are
+    included in this dict.
+
+    """
+    raw: dict[str, str | list[str] | dict[str, str]] = {}
+    unparsed: dict[str, list[str]] = {}
+
+    if isinstance(data, str):
+        parsed = email.parser.Parser(policy=email.policy.compat32).parsestr(data)
+    else:
+        parsed = email.parser.BytesParser(policy=email.policy.compat32).parsebytes(data)
+
+    # We have to wrap parsed.keys() in a set, because in the case of multiple
+    # values for a key (a list), the key will appear multiple times in the
+    # list of keys, but we're avoiding that by using get_all().
+    for name_with_case in frozenset(parsed.keys()):
+        # Header names in RFC are case insensitive, so we'll normalize to all
+        # lower case to make comparisons easier.
+        name = name_with_case.lower()
+
+        # We use get_all() here, even for fields that aren't multiple use,
+        # because otherwise someone could have e.g. two Name fields, and we
+        # would just silently ignore it rather than doing something about it.
+        headers = parsed.get_all(name) or []
+
+        # The way the email module works when parsing bytes is that it
+        # unconditionally decodes the bytes as ascii using the surrogateescape
+        # handler. When you pull that data back out (such as with get_all() ),
+        # it looks to see if the str has any surrogate escapes, and if it does
+        # it wraps it in a Header object instead of returning the string.
+        #
+        # As such, we'll look for those Header objects, and fix up the encoding.
+        value = []
+        # Flag if we have run into any issues processing the headers, thus
+        # signalling that the data belongs in 'unparsed'.
+        valid_encoding = True
+        for h in headers:
+            # It's unclear if this can return more types than just a Header or
+            # a str, so we'll just assert here to make sure.
+            assert isinstance(h, (email.header.Header, str))
+
+            # If it's a header object, we need to do our little dance to get
+            # the real data out of it. In cases where there is invalid data
+            # we're going to end up with mojibake, but there's no obvious, good
+            # way around that without reimplementing parts of the Header object
+            # ourselves.
+            #
+            # That should be fine since, if mojibacked happens, this key is
+            # going into the unparsed dict anyways.
+            if isinstance(h, email.header.Header):
+                # The Header object stores it's data as chunks, and each chunk
+                # can be independently encoded, so we'll need to check each
+                # of them.
+                chunks: list[tuple[bytes, str | None]] = []
+                for binary, _encoding in email.header.decode_header(h):
+                    try:
+                        binary.decode("utf8", "strict")
+                    except UnicodeDecodeError:
+                        # Enable mojibake.
+                        encoding = "latin1"
+                        valid_encoding = False
+                    else:
+                        encoding = "utf8"
+                    chunks.append((binary, encoding))
+
+                # Turn our chunks back into a Header object, then let that
+                # Header object do the right thing to turn them into a
+                # string for us.
+                value.append(str(email.header.make_header(chunks)))
+            # This is already a string, so just add it.
+            else:
+                value.append(h)
+
+        # We've processed all of our values to get them into a list of str,
+        # but we may have mojibake data, in which case this is an unparsed
+        # field.
+        if not valid_encoding:
+            unparsed[name] = value
+            continue
+
+        raw_name = _EMAIL_TO_RAW_MAPPING.get(name)
+        if raw_name is None:
+            # This is a bit of a weird situation, we've encountered a key that
+            # we don't know what it means, so we don't know whether it's meant
+            # to be a list or not.
+            #
+            # Since we can't really tell one way or another, we'll just leave it
+            # as a list, even though it may be a single item list, because that's
+            # what makes the most sense for email headers.
+            unparsed[name] = value
+            continue
+
+        # If this is one of our string fields, then we'll check to see if our
+        # value is a list of a single item. If it is then we'll assume that
+        # it was emitted as a single string, and unwrap the str from inside
+        # the list.
+        #
+        # If it's any other kind of data, then we haven't the faintest clue
+        # what we should parse it as, and we have to just add it to our list
+        # of unparsed stuff.
+        if raw_name in _STRING_FIELDS and len(value) == 1:
+            raw[raw_name] = value[0]
+        # If this is import_names, we need to special case the empty field
+        # case, which converts to an empty list instead of None. We can't let
+        # the empty case slip through, as it will fail validation.
+        elif raw_name == "import_names" and value == [""]:
+            raw[raw_name] = []
+        # If this is one of our list of string fields, then we can just assign
+        # the value, since email *only* has strings, and our get_all() call
+        # above ensures that this is a list.
+        elif raw_name in _LIST_FIELDS:
+            raw[raw_name] = value
+        # Special Case: Keywords
+        # The keywords field is implemented in the metadata spec as a str,
+        # but it conceptually is a list of strings, and is serialized using
+        # ", ".join(keywords), so we'll do some light data massaging to turn
+        # this into what it logically is.
+        elif raw_name == "keywords" and len(value) == 1:
+            raw[raw_name] = _parse_keywords(value[0])
+        # Special Case: Project-URL
+        # The project urls is implemented in the metadata spec as a list of
+        # specially-formatted strings that represent a key and a value, which
+        # is fundamentally a mapping, however the email format doesn't support
+        # mappings in a sane way, so it was crammed into a list of strings
+        # instead.
+        #
+        # We will do a little light data massaging to turn this into a map as
+        # it logically should be.
+        elif raw_name == "project_urls":
+            try:
+                raw[raw_name] = _parse_project_urls(value)
+            except KeyError:
+                unparsed[name] = value
+        # Nothing that we've done has managed to parse this, so it'll just
+        # throw it in our unparsable data and move on.
+        else:
+            unparsed[name] = value
+
+    # We need to support getting the Description from the message payload in
+    # addition to getting it from the the headers. This does mean, though, there
+    # is the possibility of it being set both ways, in which case we put both
+    # in 'unparsed' since we don't know which is right.
+    try:
+        payload = _get_payload(parsed, data)
+    except ValueError:
+        unparsed.setdefault("description", []).append(
+            parsed.get_payload(decode=isinstance(data, bytes))  # type: ignore[call-overload]
+        )
+    else:
+        if payload:
+            # Check to see if we've already got a description, if so then both
+            # it, and this body move to unparsable.
+            if "description" in raw:
+                description_header = cast("str", raw.pop("description"))
+                unparsed.setdefault("description", []).extend(
+                    [description_header, payload]
+                )
+            elif "description" in unparsed:
+                unparsed["description"].append(payload)
+            else:
+                raw["description"] = payload
+
+    # We need to cast our `raw` to a metadata, because a TypedDict only support
+    # literal key names, but we're computing our key names on purpose, but the
+    # way this function is implemented, our `TypedDict` can only have valid key
+    # names.
+    return cast("RawMetadata", raw), unparsed
+
+
+_NOT_FOUND = object()
+
+
+# Keep the two values in sync.
+_VALID_METADATA_VERSIONS = ["1.0", "1.1", "1.2", "2.1", "2.2", "2.3", "2.4", "2.5"]
+_MetadataVersion = Literal["1.0", "1.1", "1.2", "2.1", "2.2", "2.3", "2.4", "2.5"]
+
+_REQUIRED_ATTRS = frozenset(["metadata_version", "name", "version"])
+
+
+class _Validator(Generic[T]):
+    """Validate a metadata field.
+
+    All _process_*() methods correspond to a core metadata field. The method is
+    called with the field's raw value. If the raw value is valid it is returned
+    in its "enriched" form (e.g. ``version.Version`` for the ``Version`` field).
+    If the raw value is invalid, :exc:`InvalidMetadata` is raised (with a cause
+    as appropriate).
+    """
+
+    name: str
+    raw_name: str
+    added: _MetadataVersion
+
+    def __init__(
+        self,
+        *,
+        added: _MetadataVersion = "1.0",
+    ) -> None:
+        self.added = added
+
+    def __set_name__(self, _owner: Metadata, name: str) -> None:
+        self.name = name
+        self.raw_name = _RAW_TO_EMAIL_MAPPING[name]
+
+    def __get__(self, instance: Metadata, _owner: type[Metadata]) -> T:
+        # With Python 3.8, the caching can be replaced with functools.cached_property().
+        # No need to check the cache as attribute lookup will resolve into the
+        # instance's __dict__ before __get__ is called.
+        cache = instance.__dict__
+        value = instance._raw.get(self.name)
+
+        # To make the _process_* methods easier, we'll check if the value is None
+        # and if this field is NOT a required attribute, and if both of those
+        # things are true, we'll skip the the converter. This will mean that the
+        # converters never have to deal with the None union.
+        if self.name in _REQUIRED_ATTRS or value is not None:
+            try:
+                converter: Callable[[Any], T] = getattr(self, f"_process_{self.name}")
+            except AttributeError:
+                pass
+            else:
+                value = converter(value)
+
+        cache[self.name] = value
+        try:
+            del instance._raw[self.name]  # type: ignore[misc]
+        except KeyError:
+            pass
+
+        return cast("T", value)
+
+    def _invalid_metadata(
+        self, msg: str, cause: Exception | None = None
+    ) -> InvalidMetadata:
+        exc = InvalidMetadata(
+            self.raw_name, msg.format_map({"field": repr(self.raw_name)})
+        )
+        exc.__cause__ = cause
+        return exc
+
+    def _process_metadata_version(self, value: str) -> _MetadataVersion:
+        # Implicitly makes Metadata-Version required.
+        if value not in _VALID_METADATA_VERSIONS:
+            raise self._invalid_metadata(f"{value!r} is not a valid metadata version")
+        return cast("_MetadataVersion", value)
+
+    def _process_name(self, value: str) -> str:
+        if not value:
+            raise self._invalid_metadata("{field} is a required field")
+        # Validate the name as a side-effect.
+        try:
+            utils.canonicalize_name(value, validate=True)
+        except utils.InvalidName as exc:
+            raise self._invalid_metadata(
+                f"{value!r} is invalid for {{field}}", cause=exc
+            ) from exc
+        else:
+            return value
+
+    def _process_version(self, value: str) -> version_module.Version:
+        if not value:
+            raise self._invalid_metadata("{field} is a required field")
+        try:
+            return version_module.parse(value)
+        except version_module.InvalidVersion as exc:
+            raise self._invalid_metadata(
+                f"{value!r} is invalid for {{field}}", cause=exc
+            ) from exc
+
+    def _process_summary(self, value: str) -> str:
+        """Check the field contains no newlines."""
+        if "\n" in value:
+            raise self._invalid_metadata("{field} must be a single line")
+        return value
+
+    def _process_description_content_type(self, value: str) -> str:
+        content_types = {"text/plain", "text/x-rst", "text/markdown"}
+        message = email.message.EmailMessage()
+        message["content-type"] = value
+
+        content_type, parameters = (
+            # Defaults to `text/plain` if parsing failed.
+            message.get_content_type().lower(),
+            message["content-type"].params,
+        )
+        # Check if content-type is valid or defaulted to `text/plain` and thus was
+        # not parseable.
+        if content_type not in content_types or content_type not in value.lower():
+            raise self._invalid_metadata(
+                f"{{field}} must be one of {list(content_types)}, not {value!r}"
+            )
+
+        charset = parameters.get("charset", "UTF-8")
+        if charset != "UTF-8":
+            raise self._invalid_metadata(
+                f"{{field}} can only specify the UTF-8 charset, not {charset!r}"
+            )
+
+        markdown_variants = {"GFM", "CommonMark"}
+        variant = parameters.get("variant", "GFM")  # Use an acceptable default.
+        if content_type == "text/markdown" and variant not in markdown_variants:
+            raise self._invalid_metadata(
+                f"valid Markdown variants for {{field}} are {list(markdown_variants)}, "
+                f"not {variant!r}",
+            )
+        return value
+
+    def _process_dynamic(self, value: list[str]) -> list[str]:
+        for dynamic_field in map(str.lower, value):
+            if dynamic_field in {"name", "version", "metadata-version"}:
+                raise self._invalid_metadata(
+                    f"{dynamic_field!r} is not allowed as a dynamic field"
+                )
+            elif dynamic_field not in _EMAIL_TO_RAW_MAPPING:
+                raise self._invalid_metadata(
+                    f"{dynamic_field!r} is not a valid dynamic field"
+                )
+        return list(map(str.lower, value))
+
+    def _process_provides_extra(
+        self,
+        value: list[str],
+    ) -> list[utils.NormalizedName]:
+        normalized_names = []
+        try:
+            for name in value:
+                normalized_names.append(utils.canonicalize_name(name, validate=True))
+        except utils.InvalidName as exc:
+            raise self._invalid_metadata(
+                f"{name!r} is invalid for {{field}}", cause=exc
+            ) from exc
+        else:
+            return normalized_names
+
+    def _process_requires_python(self, value: str) -> specifiers.SpecifierSet:
+        try:
+            return specifiers.SpecifierSet(value)
+        except specifiers.InvalidSpecifier as exc:
+            raise self._invalid_metadata(
+                f"{value!r} is invalid for {{field}}", cause=exc
+            ) from exc
+
+    def _process_requires_dist(
+        self,
+        value: list[str],
+    ) -> list[requirements.Requirement]:
+        reqs = []
+        try:
+            for req in value:
+                reqs.append(requirements.Requirement(req))
+        except requirements.InvalidRequirement as exc:
+            raise self._invalid_metadata(
+                f"{req!r} is invalid for {{field}}", cause=exc
+            ) from exc
+        else:
+            return reqs
+
+    def _process_license_expression(self, value: str) -> NormalizedLicenseExpression:
+        try:
+            return licenses.canonicalize_license_expression(value)
+        except ValueError as exc:
+            raise self._invalid_metadata(
+                f"{value!r} is invalid for {{field}}", cause=exc
+            ) from exc
+
+    def _process_license_files(self, value: list[str]) -> list[str]:
+        paths = []
+        for path in value:
+            if ".." in path:
+                raise self._invalid_metadata(
+                    f"{path!r} is invalid for {{field}}, "
+                    "parent directory indicators are not allowed"
+                )
+            if "*" in path:
+                raise self._invalid_metadata(
+                    f"{path!r} is invalid for {{field}}, paths must be resolved"
+                )
+            if (
+                pathlib.PurePosixPath(path).is_absolute()
+                or pathlib.PureWindowsPath(path).is_absolute()
+            ):
+                raise self._invalid_metadata(
+                    f"{path!r} is invalid for {{field}}, paths must be relative"
+                )
+            if pathlib.PureWindowsPath(path).as_posix() != path:
+                raise self._invalid_metadata(
+                    f"{path!r} is invalid for {{field}}, paths must use '/' delimiter"
+                )
+            paths.append(path)
+        return paths
+
+    def _process_import_names(self, value: list[str]) -> list[str]:
+        for import_name in value:
+            name, semicolon, private = import_name.partition(";")
+            name = name.rstrip()
+            for identifier in name.split("."):
+                if not identifier.isidentifier():
+                    raise self._invalid_metadata(
+                        f"{name!r} is invalid for {{field}}; "
+                        f"{identifier!r} is not a valid identifier"
+                    )
+                elif keyword.iskeyword(identifier):
+                    raise self._invalid_metadata(
+                        f"{name!r} is invalid for {{field}}; "
+                        f"{identifier!r} is a keyword"
+                    )
+            if semicolon and private.lstrip() != "private":
+                raise self._invalid_metadata(
+                    f"{import_name!r} is invalid for {{field}}; "
+                    "the only valid option is 'private'"
+                )
+        return value
+
+    _process_import_namespaces = _process_import_names
+
+
+class Metadata:
+    """Representation of distribution metadata.
+
+    Compared to :class:`RawMetadata`, this class provides objects representing
+    metadata fields instead of only using built-in types. Any invalid metadata
+    will cause :exc:`InvalidMetadata` to be raised (with a
+    :py:attr:`~BaseException.__cause__` attribute as appropriate).
+    """
+
+    _raw: RawMetadata
+
+    @classmethod
+    def from_raw(cls, data: RawMetadata, *, validate: bool = True) -> Metadata:
+        """Create an instance from :class:`RawMetadata`.
+
+        If *validate* is true, all metadata will be validated. All exceptions
+        related to validation will be gathered and raised as an :class:`ExceptionGroup`.
+        """
+        ins = cls()
+        ins._raw = data.copy()  # Mutations occur due to caching enriched values.
+
+        if validate:
+            collector = _ErrorCollector()
+            metadata_version = None
+            with collector.collect(InvalidMetadata):
+                metadata_version = ins.metadata_version
+                metadata_age = _VALID_METADATA_VERSIONS.index(metadata_version)
+
+            # Make sure to check for the fields that are present, the required
+            # fields (so their absence can be reported).
+            fields_to_check = frozenset(ins._raw) | _REQUIRED_ATTRS
+            # Remove fields that have already been checked.
+            fields_to_check -= {"metadata_version"}
+
+            for key in fields_to_check:
+                try:
+                    if metadata_version:
+                        # Can't use getattr() as that triggers descriptor protocol which
+                        # will fail due to no value for the instance argument.
+                        try:
+                            field_metadata_version = cls.__dict__[key].added
+                        except KeyError:
+                            exc = InvalidMetadata(key, f"unrecognized field: {key!r}")
+                            collector.error(exc)
+                            continue
+                        field_age = _VALID_METADATA_VERSIONS.index(
+                            field_metadata_version
+                        )
+                        if field_age > metadata_age:
+                            field = _RAW_TO_EMAIL_MAPPING[key]
+                            exc = InvalidMetadata(
+                                field,
+                                f"{field} introduced in metadata version "
+                                f"{field_metadata_version}, not {metadata_version}",
+                            )
+                            collector.error(exc)
+                            continue
+                    getattr(ins, key)
+                except InvalidMetadata as exc:
+                    collector.error(exc)
+
+            collector.finalize("invalid metadata")
+
+        return ins
+
+    @classmethod
+    def from_email(cls, data: bytes | str, *, validate: bool = True) -> Metadata:
+        """Parse metadata from email headers.
+
+        If *validate* is true, the metadata will be validated. All exceptions
+        related to validation will be gathered and raised as an :class:`ExceptionGroup`.
+        """
+        raw, unparsed = parse_email(data)
+
+        if validate:
+            with _ErrorCollector().on_exit("unparsed") as collector:
+                for unparsed_key in unparsed:
+                    if unparsed_key in _EMAIL_TO_RAW_MAPPING:
+                        message = f"{unparsed_key!r} has invalid data"
+                    else:
+                        message = f"unrecognized field: {unparsed_key!r}"
+                    collector.error(InvalidMetadata(unparsed_key, message))
+
+        try:
+            return cls.from_raw(raw, validate=validate)
+        except ExceptionGroup as exc_group:
+            raise ExceptionGroup(
+                "invalid or unparsed metadata", exc_group.exceptions
+            ) from None
+
+    metadata_version: _Validator[_MetadataVersion] = _Validator()
+    """:external:ref:`core-metadata-metadata-version`
+    (required; validated to be a valid metadata version)"""
+    # `name` is not normalized/typed to NormalizedName so as to provide access to
+    # the original/raw name.
+    name: _Validator[str] = _Validator()
+    """:external:ref:`core-metadata-name`
+    (required; validated using :func:`~packaging.utils.canonicalize_name` and its
+    *validate* parameter)"""
+    version: _Validator[version_module.Version] = _Validator()
+    """:external:ref:`core-metadata-version` (required)"""
+    dynamic: _Validator[list[str] | None] = _Validator(
+        added="2.2",
+    )
+    """:external:ref:`core-metadata-dynamic`
+    (validated against core metadata field names and lowercased)"""
+    platforms: _Validator[list[str] | None] = _Validator()
+    """:external:ref:`core-metadata-platform`"""
+    supported_platforms: _Validator[list[str] | None] = _Validator(added="1.1")
+    """:external:ref:`core-metadata-supported-platform`"""
+    summary: _Validator[str | None] = _Validator()
+    """:external:ref:`core-metadata-summary` (validated to contain no newlines)"""
+    description: _Validator[str | None] = _Validator()  # TODO 2.1: can be in body
+    """:external:ref:`core-metadata-description`"""
+    description_content_type: _Validator[str | None] = _Validator(added="2.1")
+    """:external:ref:`core-metadata-description-content-type` (validated)"""
+    keywords: _Validator[list[str] | None] = _Validator()
+    """:external:ref:`core-metadata-keywords`"""
+    home_page: _Validator[str | None] = _Validator()
+    """:external:ref:`core-metadata-home-page`"""
+    download_url: _Validator[str | None] = _Validator(added="1.1")
+    """:external:ref:`core-metadata-download-url`"""
+    author: _Validator[str | None] = _Validator()
+    """:external:ref:`core-metadata-author`"""
+    author_email: _Validator[str | None] = _Validator()
+    """:external:ref:`core-metadata-author-email`"""
+    maintainer: _Validator[str | None] = _Validator(added="1.2")
+    """:external:ref:`core-metadata-maintainer`"""
+    maintainer_email: _Validator[str | None] = _Validator(added="1.2")
+    """:external:ref:`core-metadata-maintainer-email`"""
+    license: _Validator[str | None] = _Validator()
+    """:external:ref:`core-metadata-license`"""
+    license_expression: _Validator[NormalizedLicenseExpression | None] = _Validator(
+        added="2.4"
+    )
+    """:external:ref:`core-metadata-license-expression`"""
+    license_files: _Validator[list[str] | None] = _Validator(added="2.4")
+    """:external:ref:`core-metadata-license-file`"""
+    classifiers: _Validator[list[str] | None] = _Validator(added="1.1")
+    """:external:ref:`core-metadata-classifier`"""
+    requires_dist: _Validator[list[requirements.Requirement] | None] = _Validator(
+        added="1.2"
+    )
+    """:external:ref:`core-metadata-requires-dist`"""
+    requires_python: _Validator[specifiers.SpecifierSet | None] = _Validator(
+        added="1.2"
+    )
+    """:external:ref:`core-metadata-requires-python`"""
+    # Because `Requires-External` allows for non-PEP 440 version specifiers, we
+    # don't do any processing on the values.
+    requires_external: _Validator[list[str] | None] = _Validator(added="1.2")
+    """:external:ref:`core-metadata-requires-external`"""
+    project_urls: _Validator[dict[str, str] | None] = _Validator(added="1.2")
+    """:external:ref:`core-metadata-project-url`"""
+    # PEP 685 lets us raise an error if an extra doesn't pass `Name` validation
+    # regardless of metadata version.
+    provides_extra: _Validator[list[utils.NormalizedName] | None] = _Validator(
+        added="2.1",
+    )
+    """:external:ref:`core-metadata-provides-extra`"""
+    provides_dist: _Validator[list[str] | None] = _Validator(added="1.2")
+    """:external:ref:`core-metadata-provides-dist`"""
+    obsoletes_dist: _Validator[list[str] | None] = _Validator(added="1.2")
+    """:external:ref:`core-metadata-obsoletes-dist`"""
+    import_names: _Validator[list[str] | None] = _Validator(added="2.5")
+    """:external:ref:`core-metadata-import-name`"""
+    import_namespaces: _Validator[list[str] | None] = _Validator(added="2.5")
+    """:external:ref:`core-metadata-import-namespace`"""
+    requires: _Validator[list[str] | None] = _Validator(added="1.1")
+    """``Requires`` (deprecated)"""
+    provides: _Validator[list[str] | None] = _Validator(added="1.1")
+    """``Provides`` (deprecated)"""
+    obsoletes: _Validator[list[str] | None] = _Validator(added="1.1")
+    """``Obsoletes`` (deprecated)"""
+
+    def as_rfc822(self) -> RFC822Message:
+        """
+        Return an RFC822 message with the metadata.
+        """
+        message = RFC822Message()
+        self._write_metadata(message)
+        return message
+
+    def _write_metadata(self, message: RFC822Message) -> None:
+        """
+        Return an RFC822 message with the metadata.
+        """
+        for name, validator in self.__class__.__dict__.items():
+            if isinstance(validator, _Validator) and name != "description":
+                value = getattr(self, name)
+                email_name = _RAW_TO_EMAIL_MAPPING[name]
+                if value is not None:
+                    if email_name == "project-url":
+                        for label, url in value.items():
+                            message[email_name] = f"{label}, {url}"
+                    elif email_name == "keywords":
+                        message[email_name] = ",".join(value)
+                    elif email_name == "import-name" and value == []:
+                        message[email_name] = ""
+                    elif isinstance(value, list):
+                        for item in value:
+                            message[email_name] = str(item)
+                    else:
+                        message[email_name] = str(value)
+
+        # The description is a special case because it is in the body of the message.
+        if self.description is not None:
+            message.set_payload(self.description)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/py.typed b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/py.typed
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/pylock.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/pylock.py
new file mode 100644
index 0000000000000000000000000000000000000000..84e25378fc6fa21d2d637dbcc6cd43c0dd2ad1d4
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/pylock.py
@@ -0,0 +1,905 @@
+from __future__ import annotations
+
+import dataclasses
+import logging
+import re
+from collections.abc import Mapping, Sequence
+from dataclasses import dataclass
+from datetime import datetime
+from typing import (
+    TYPE_CHECKING,
+    Any,
+    Callable,
+    Protocol,
+    TypeVar,
+    cast,
+)
+from urllib.parse import urlparse
+
+from .markers import Environment, Marker, default_environment
+from .specifiers import SpecifierSet
+from .tags import create_compatible_tags_selector, sys_tags
+from .utils import (
+    NormalizedName,
+    is_normalized_name,
+    parse_sdist_filename,
+    parse_wheel_filename,
+)
+from .version import Version
+
+if TYPE_CHECKING:  # pragma: no cover
+    from collections.abc import Collection, Iterator
+    from pathlib import Path
+
+    from typing_extensions import Self
+
+    from .tags import Tag
+
+_logger = logging.getLogger(__name__)
+
+__all__ = [
+    "Package",
+    "PackageArchive",
+    "PackageDirectory",
+    "PackageSdist",
+    "PackageVcs",
+    "PackageWheel",
+    "Pylock",
+    "PylockUnsupportedVersionError",
+    "PylockValidationError",
+    "is_valid_pylock_path",
+]
+
+
+def __dir__() -> list[str]:
+    return __all__
+
+
+_T = TypeVar("_T")
+_T2 = TypeVar("_T2")
+
+
+class _FromMappingProtocol(Protocol):  # pragma: no cover
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self: ...
+
+
+_FromMappingProtocolT = TypeVar("_FromMappingProtocolT", bound=_FromMappingProtocol)
+
+
+_PYLOCK_FILE_NAME_RE = re.compile(r"^pylock\.([^.]+)\.toml$")
+
+
+def is_valid_pylock_path(path: Path) -> bool:
+    """Check if the given path is a valid pylock file path."""
+    return path.name == "pylock.toml" or bool(_PYLOCK_FILE_NAME_RE.match(path.name))
+
+
+def _toml_key(key: str) -> str:
+    return key.replace("_", "-")
+
+
+def _toml_value(key: str, value: Any) -> Any:  # noqa: ANN401
+    if isinstance(value, (Version, Marker, SpecifierSet)):
+        return str(value)
+    if isinstance(value, Sequence) and key == "environments":
+        return [str(v) for v in value]
+    return value
+
+
+def _toml_dict_factory(data: list[tuple[str, Any]]) -> dict[str, Any]:
+    return {
+        _toml_key(key): _toml_value(key, value)
+        for key, value in data
+        if value is not None
+    }
+
+
+def _get(d: Mapping[str, Any], expected_type: type[_T], key: str) -> _T | None:
+    """Get a value from the dictionary and verify it's the expected type."""
+    if (value := d.get(key)) is None:
+        return None
+    if not isinstance(value, expected_type):
+        raise PylockValidationError(
+            f"Unexpected type {type(value).__name__} "
+            f"(expected {expected_type.__name__})",
+            context=key,
+        )
+    return value
+
+
+def _get_required(d: Mapping[str, Any], expected_type: type[_T], key: str) -> _T:
+    """Get a required value from the dictionary and verify it's the expected type."""
+    if (value := _get(d, expected_type, key)) is None:
+        raise _PylockRequiredKeyError(key)
+    return value
+
+
+def _get_sequence(
+    d: Mapping[str, Any], expected_item_type: type[_T], key: str
+) -> Sequence[_T] | None:
+    """Get a list value from the dictionary and verify it's the expected items type."""
+    if (value := _get(d, Sequence, key)) is None:  # type: ignore[type-abstract]
+        return None
+    if isinstance(value, (str, bytes)):
+        # special case: str and bytes are Sequences, but we want to reject it
+        raise PylockValidationError(
+            f"Unexpected type {type(value).__name__} (expected Sequence)",
+            context=key,
+        )
+    for i, item in enumerate(value):
+        if not isinstance(item, expected_item_type):
+            raise PylockValidationError(
+                f"Unexpected type {type(item).__name__} "
+                f"(expected {expected_item_type.__name__})",
+                context=f"{key}[{i}]",
+            )
+    return value
+
+
+def _get_as(
+    d: Mapping[str, Any],
+    expected_type: type[_T],
+    target_type: Callable[[_T], _T2],
+    key: str,
+) -> _T2 | None:
+    """Get a value from the dictionary, verify it's the expected type,
+    and convert to the target type.
+
+    This assumes the target_type constructor accepts the value.
+    """
+    if (value := _get(d, expected_type, key)) is None:
+        return None
+    try:
+        return target_type(value)
+    except Exception as e:
+        raise PylockValidationError(e, context=key) from e
+
+
+def _get_required_as(
+    d: Mapping[str, Any],
+    expected_type: type[_T],
+    target_type: Callable[[_T], _T2],
+    key: str,
+) -> _T2:
+    """Get a required value from the dict, verify it's the expected type,
+    and convert to the target type."""
+    if (value := _get_as(d, expected_type, target_type, key)) is None:
+        raise _PylockRequiredKeyError(key)
+    return value
+
+
+def _get_sequence_as(
+    d: Mapping[str, Any],
+    expected_item_type: type[_T],
+    target_item_type: Callable[[_T], _T2],
+    key: str,
+) -> list[_T2] | None:
+    """Get list value from dictionary and verify expected items type."""
+    if (value := _get_sequence(d, expected_item_type, key)) is None:
+        return None
+    result = []
+    try:
+        for item in value:
+            typed_item = target_item_type(item)
+            result.append(typed_item)
+    except Exception as e:
+        raise PylockValidationError(e, context=f"{key}[{len(result)}]") from e
+    return result
+
+
+def _get_object(
+    d: Mapping[str, Any], target_type: type[_FromMappingProtocolT], key: str
+) -> _FromMappingProtocolT | None:
+    """Get a dictionary value from the dictionary and convert it to a dataclass."""
+    if (value := _get(d, Mapping, key)) is None:  # type: ignore[type-abstract]
+        return None
+    try:
+        return target_type._from_dict(value)
+    except Exception as e:
+        raise PylockValidationError(e, context=key) from e
+
+
+def _get_sequence_of_objects(
+    d: Mapping[str, Any], target_item_type: type[_FromMappingProtocolT], key: str
+) -> list[_FromMappingProtocolT] | None:
+    """Get a list value from the dictionary and convert its items to a dataclass."""
+    if (value := _get_sequence(d, Mapping, key)) is None:  # type: ignore[type-abstract]
+        return None
+    result: list[_FromMappingProtocolT] = []
+    try:
+        for item in value:
+            typed_item = target_item_type._from_dict(item)
+            result.append(typed_item)
+    except Exception as e:
+        raise PylockValidationError(e, context=f"{key}[{len(result)}]") from e
+    return result
+
+
+def _get_required_sequence_of_objects(
+    d: Mapping[str, Any], target_item_type: type[_FromMappingProtocolT], key: str
+) -> Sequence[_FromMappingProtocolT]:
+    """Get a required list value from the dictionary and convert its items to a
+    dataclass."""
+    if (result := _get_sequence_of_objects(d, target_item_type, key)) is None:
+        raise _PylockRequiredKeyError(key)
+    return result
+
+
+def _validate_normalized_name(name: str) -> NormalizedName:
+    """Validate that a string is a NormalizedName."""
+    if not is_normalized_name(name):
+        raise PylockValidationError(f"Name {name!r} is not normalized")
+    return NormalizedName(name)
+
+
+def _validate_path_url(path: str | None, url: str | None) -> None:
+    if not path and not url:
+        raise PylockValidationError("path or url must be provided")
+
+
+def _path_name(path: str | None) -> str | None:
+    if not path:
+        return None
+    # If the path is relative it MAY use POSIX-style path separators explicitly
+    # for portability
+    if "/" in path:
+        return path.rsplit("/", 1)[-1]
+    elif "\\" in path:
+        return path.rsplit("\\", 1)[-1]
+    else:
+        return path
+
+
+def _url_name(url: str | None) -> str | None:
+    if not url:
+        return None
+    url_path = urlparse(url).path
+    return url_path.rsplit("/", 1)[-1]
+
+
+def _validate_hashes(hashes: Mapping[str, Any]) -> Mapping[str, Any]:
+    if not hashes:
+        raise PylockValidationError("At least one hash must be provided")
+    if not all(isinstance(hash_val, str) for hash_val in hashes.values()):
+        raise PylockValidationError("Hash values must be strings")
+    return hashes
+
+
+class PylockValidationError(Exception):
+    """Raised when when input data is not spec-compliant."""
+
+    context: str | None = None
+    message: str
+
+    def __init__(
+        self,
+        cause: str | Exception,
+        *,
+        context: str | None = None,
+    ) -> None:
+        if isinstance(cause, PylockValidationError):
+            if cause.context:
+                self.context = (
+                    f"{context}.{cause.context}" if context else cause.context
+                )
+            else:
+                self.context = context
+            self.message = cause.message
+        else:
+            self.context = context
+            self.message = str(cause)
+
+    def __str__(self) -> str:
+        if self.context:
+            return f"{self.message} in {self.context!r}"
+        return self.message
+
+
+class _PylockRequiredKeyError(PylockValidationError):
+    def __init__(self, key: str) -> None:
+        super().__init__("Missing required value", context=key)
+
+
+class PylockUnsupportedVersionError(PylockValidationError):
+    """Raised when encountering an unsupported `lock_version`."""
+
+
+class PylockSelectError(Exception):
+    """Base exception for errors raised by :meth:`Pylock.select`."""
+
+
+@dataclass(frozen=True, init=False)
+class PackageVcs:
+    type: str
+    url: str | None = None
+    path: str | None = None
+    requested_revision: str | None = None
+    commit_id: str  # type: ignore[misc]
+    subdirectory: str | None = None
+
+    def __init__(
+        self,
+        *,
+        type: str,
+        url: str | None = None,
+        path: str | None = None,
+        requested_revision: str | None = None,
+        commit_id: str,
+        subdirectory: str | None = None,
+    ) -> None:
+        # In Python 3.10+ make dataclass kw_only=True and remove __init__
+        object.__setattr__(self, "type", type)
+        object.__setattr__(self, "url", url)
+        object.__setattr__(self, "path", path)
+        object.__setattr__(self, "requested_revision", requested_revision)
+        object.__setattr__(self, "commit_id", commit_id)
+        object.__setattr__(self, "subdirectory", subdirectory)
+
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self:
+        package_vcs = cls(
+            type=_get_required(d, str, "type"),
+            url=_get(d, str, "url"),
+            path=_get(d, str, "path"),
+            requested_revision=_get(d, str, "requested-revision"),
+            commit_id=_get_required(d, str, "commit-id"),
+            subdirectory=_get(d, str, "subdirectory"),
+        )
+        _validate_path_url(package_vcs.path, package_vcs.url)
+        return package_vcs
+
+
+@dataclass(frozen=True, init=False)
+class PackageDirectory:
+    path: str
+    editable: bool | None = None
+    subdirectory: str | None = None
+
+    def __init__(
+        self,
+        *,
+        path: str,
+        editable: bool | None = None,
+        subdirectory: str | None = None,
+    ) -> None:
+        # In Python 3.10+ make dataclass kw_only=True and remove __init__
+        object.__setattr__(self, "path", path)
+        object.__setattr__(self, "editable", editable)
+        object.__setattr__(self, "subdirectory", subdirectory)
+
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self:
+        return cls(
+            path=_get_required(d, str, "path"),
+            editable=_get(d, bool, "editable"),
+            subdirectory=_get(d, str, "subdirectory"),
+        )
+
+
+@dataclass(frozen=True, init=False)
+class PackageArchive:
+    url: str | None = None
+    path: str | None = None
+    size: int | None = None
+    upload_time: datetime | None = None
+    hashes: Mapping[str, str]  # type: ignore[misc]
+    subdirectory: str | None = None
+
+    def __init__(
+        self,
+        *,
+        url: str | None = None,
+        path: str | None = None,
+        size: int | None = None,
+        upload_time: datetime | None = None,
+        hashes: Mapping[str, str],
+        subdirectory: str | None = None,
+    ) -> None:
+        # In Python 3.10+ make dataclass kw_only=True and remove __init__
+        object.__setattr__(self, "url", url)
+        object.__setattr__(self, "path", path)
+        object.__setattr__(self, "size", size)
+        object.__setattr__(self, "upload_time", upload_time)
+        object.__setattr__(self, "hashes", hashes)
+        object.__setattr__(self, "subdirectory", subdirectory)
+
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self:
+        package_archive = cls(
+            url=_get(d, str, "url"),
+            path=_get(d, str, "path"),
+            size=_get(d, int, "size"),
+            upload_time=_get(d, datetime, "upload-time"),
+            hashes=_get_required_as(d, Mapping, _validate_hashes, "hashes"),  # type: ignore[type-abstract]
+            subdirectory=_get(d, str, "subdirectory"),
+        )
+        _validate_path_url(package_archive.path, package_archive.url)
+        return package_archive
+
+
+@dataclass(frozen=True, init=False)
+class PackageSdist:
+    name: str | None = None
+    upload_time: datetime | None = None
+    url: str | None = None
+    path: str | None = None
+    size: int | None = None
+    hashes: Mapping[str, str]  # type: ignore[misc]
+
+    def __init__(
+        self,
+        *,
+        name: str | None = None,
+        upload_time: datetime | None = None,
+        url: str | None = None,
+        path: str | None = None,
+        size: int | None = None,
+        hashes: Mapping[str, str],
+    ) -> None:
+        # In Python 3.10+ make dataclass kw_only=True and remove __init__
+        object.__setattr__(self, "name", name)
+        object.__setattr__(self, "upload_time", upload_time)
+        object.__setattr__(self, "url", url)
+        object.__setattr__(self, "path", path)
+        object.__setattr__(self, "size", size)
+        object.__setattr__(self, "hashes", hashes)
+
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self:
+        package_sdist = cls(
+            name=_get(d, str, "name"),
+            upload_time=_get(d, datetime, "upload-time"),
+            url=_get(d, str, "url"),
+            path=_get(d, str, "path"),
+            size=_get(d, int, "size"),
+            hashes=_get_required_as(d, Mapping, _validate_hashes, "hashes"),  # type: ignore[type-abstract]
+        )
+        _validate_path_url(package_sdist.path, package_sdist.url)
+        return package_sdist
+
+    @property
+    def filename(self) -> str:
+        """Get the filename of the sdist."""
+        filename = self.name or _path_name(self.path) or _url_name(self.url)
+        if not filename:
+            raise PylockValidationError("Cannot determine sdist filename")
+        return filename
+
+
+@dataclass(frozen=True, init=False)
+class PackageWheel:
+    name: str | None = None
+    upload_time: datetime | None = None
+    url: str | None = None
+    path: str | None = None
+    size: int | None = None
+    hashes: Mapping[str, str]  # type: ignore[misc]
+
+    def __init__(
+        self,
+        *,
+        name: str | None = None,
+        upload_time: datetime | None = None,
+        url: str | None = None,
+        path: str | None = None,
+        size: int | None = None,
+        hashes: Mapping[str, str],
+    ) -> None:
+        # In Python 3.10+ make dataclass kw_only=True and remove __init__
+        object.__setattr__(self, "name", name)
+        object.__setattr__(self, "upload_time", upload_time)
+        object.__setattr__(self, "url", url)
+        object.__setattr__(self, "path", path)
+        object.__setattr__(self, "size", size)
+        object.__setattr__(self, "hashes", hashes)
+
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self:
+        package_wheel = cls(
+            name=_get(d, str, "name"),
+            upload_time=_get(d, datetime, "upload-time"),
+            url=_get(d, str, "url"),
+            path=_get(d, str, "path"),
+            size=_get(d, int, "size"),
+            hashes=_get_required_as(d, Mapping, _validate_hashes, "hashes"),  # type: ignore[type-abstract]
+        )
+        _validate_path_url(package_wheel.path, package_wheel.url)
+        return package_wheel
+
+    @property
+    def filename(self) -> str:
+        """Get the filename of the wheel."""
+        filename = self.name or _path_name(self.path) or _url_name(self.url)
+        if not filename:
+            raise PylockValidationError("Cannot determine wheel filename")
+        return filename
+
+
+@dataclass(frozen=True, init=False)
+class Package:
+    name: NormalizedName
+    version: Version | None = None
+    marker: Marker | None = None
+    requires_python: SpecifierSet | None = None
+    dependencies: Sequence[Mapping[str, Any]] | None = None
+    vcs: PackageVcs | None = None
+    directory: PackageDirectory | None = None
+    archive: PackageArchive | None = None
+    index: str | None = None
+    sdist: PackageSdist | None = None
+    wheels: Sequence[PackageWheel] | None = None
+    attestation_identities: Sequence[Mapping[str, Any]] | None = None
+    tool: Mapping[str, Any] | None = None
+
+    def __init__(
+        self,
+        *,
+        name: NormalizedName,
+        version: Version | None = None,
+        marker: Marker | None = None,
+        requires_python: SpecifierSet | None = None,
+        dependencies: Sequence[Mapping[str, Any]] | None = None,
+        vcs: PackageVcs | None = None,
+        directory: PackageDirectory | None = None,
+        archive: PackageArchive | None = None,
+        index: str | None = None,
+        sdist: PackageSdist | None = None,
+        wheels: Sequence[PackageWheel] | None = None,
+        attestation_identities: Sequence[Mapping[str, Any]] | None = None,
+        tool: Mapping[str, Any] | None = None,
+    ) -> None:
+        # In Python 3.10+ make dataclass kw_only=True and remove __init__
+        object.__setattr__(self, "name", name)
+        object.__setattr__(self, "version", version)
+        object.__setattr__(self, "marker", marker)
+        object.__setattr__(self, "requires_python", requires_python)
+        object.__setattr__(self, "dependencies", dependencies)
+        object.__setattr__(self, "vcs", vcs)
+        object.__setattr__(self, "directory", directory)
+        object.__setattr__(self, "archive", archive)
+        object.__setattr__(self, "index", index)
+        object.__setattr__(self, "sdist", sdist)
+        object.__setattr__(self, "wheels", wheels)
+        object.__setattr__(self, "attestation_identities", attestation_identities)
+        object.__setattr__(self, "tool", tool)
+
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self:
+        package = cls(
+            name=_get_required_as(d, str, _validate_normalized_name, "name"),
+            version=_get_as(d, str, Version, "version"),
+            requires_python=_get_as(d, str, SpecifierSet, "requires-python"),
+            dependencies=_get_sequence(d, Mapping, "dependencies"),  # type: ignore[type-abstract]
+            marker=_get_as(d, str, Marker, "marker"),
+            vcs=_get_object(d, PackageVcs, "vcs"),
+            directory=_get_object(d, PackageDirectory, "directory"),
+            archive=_get_object(d, PackageArchive, "archive"),
+            index=_get(d, str, "index"),
+            sdist=_get_object(d, PackageSdist, "sdist"),
+            wheels=_get_sequence_of_objects(d, PackageWheel, "wheels"),
+            attestation_identities=_get_sequence(d, Mapping, "attestation-identities"),  # type: ignore[type-abstract]
+            tool=_get(d, Mapping, "tool"),  # type: ignore[type-abstract]
+        )
+        distributions = bool(package.sdist) + len(package.wheels or [])
+        direct_urls = (
+            bool(package.vcs) + bool(package.directory) + bool(package.archive)
+        )
+        if distributions > 0 and direct_urls > 0:
+            raise PylockValidationError(
+                "None of vcs, directory, archive must be set if sdist or wheels are set"
+            )
+        if distributions == 0 and direct_urls != 1:
+            raise PylockValidationError(
+                "Exactly one of vcs, directory, archive must be set "
+                "if sdist and wheels are not set"
+            )
+        for i, wheel in enumerate(package.wheels or []):
+            try:
+                (name, version, _, _) = parse_wheel_filename(wheel.filename)
+            except Exception as e:
+                raise PylockValidationError(
+                    f"Invalid wheel filename {wheel.filename!r}",
+                    context=f"wheels[{i}]",
+                ) from e
+            if name != package.name:
+                raise PylockValidationError(
+                    f"Name in {wheel.filename!r} is not consistent with "
+                    f"package name {package.name!r}",
+                    context=f"wheels[{i}]",
+                )
+            if package.version and version != package.version:
+                raise PylockValidationError(
+                    f"Version in {wheel.filename!r} is not consistent with "
+                    f"package version {str(package.version)!r}",
+                    context=f"wheels[{i}]",
+                )
+        if package.sdist:
+            try:
+                name, version = parse_sdist_filename(package.sdist.filename)
+            except Exception as e:
+                raise PylockValidationError(
+                    f"Invalid sdist filename {package.sdist.filename!r}",
+                    context="sdist",
+                ) from e
+            if name != package.name:
+                raise PylockValidationError(
+                    f"Name in {package.sdist.filename!r} is not consistent with "
+                    f"package name {package.name!r}",
+                    context="sdist",
+                )
+            if package.version and version != package.version:
+                raise PylockValidationError(
+                    f"Version in {package.sdist.filename!r} is not consistent with "
+                    f"package version {str(package.version)!r}",
+                    context="sdist",
+                )
+        try:
+            for i, attestation_identity in enumerate(  # noqa: B007
+                package.attestation_identities or []
+            ):
+                _get_required(attestation_identity, str, "kind")
+        except Exception as e:
+            raise PylockValidationError(
+                e, context=f"attestation-identities[{i}]"
+            ) from e
+        return package
+
+    @property
+    def is_direct(self) -> bool:
+        return not (self.sdist or self.wheels)
+
+
+@dataclass(frozen=True, init=False)
+class Pylock:
+    """A class representing a pylock file."""
+
+    lock_version: Version
+    environments: Sequence[Marker] | None = None
+    requires_python: SpecifierSet | None = None
+    extras: Sequence[NormalizedName] | None = None
+    dependency_groups: Sequence[str] | None = None
+    default_groups: Sequence[str] | None = None
+    created_by: str  # type: ignore[misc]
+    packages: Sequence[Package]  # type: ignore[misc]
+    tool: Mapping[str, Any] | None = None
+
+    def __init__(
+        self,
+        *,
+        lock_version: Version,
+        environments: Sequence[Marker] | None = None,
+        requires_python: SpecifierSet | None = None,
+        extras: Sequence[NormalizedName] | None = None,
+        dependency_groups: Sequence[str] | None = None,
+        default_groups: Sequence[str] | None = None,
+        created_by: str,
+        packages: Sequence[Package],
+        tool: Mapping[str, Any] | None = None,
+    ) -> None:
+        # In Python 3.10+ make dataclass kw_only=True and remove __init__
+        object.__setattr__(self, "lock_version", lock_version)
+        object.__setattr__(self, "environments", environments)
+        object.__setattr__(self, "requires_python", requires_python)
+        object.__setattr__(self, "extras", extras)
+        object.__setattr__(self, "dependency_groups", dependency_groups)
+        object.__setattr__(self, "default_groups", default_groups)
+        object.__setattr__(self, "created_by", created_by)
+        object.__setattr__(self, "packages", packages)
+        object.__setattr__(self, "tool", tool)
+
+    @classmethod
+    def _from_dict(cls, d: Mapping[str, Any]) -> Self:
+        pylock = cls(
+            lock_version=_get_required_as(d, str, Version, "lock-version"),
+            environments=_get_sequence_as(d, str, Marker, "environments"),
+            extras=_get_sequence_as(d, str, _validate_normalized_name, "extras"),
+            dependency_groups=_get_sequence(d, str, "dependency-groups"),
+            default_groups=_get_sequence(d, str, "default-groups"),
+            created_by=_get_required(d, str, "created-by"),
+            requires_python=_get_as(d, str, SpecifierSet, "requires-python"),
+            packages=_get_required_sequence_of_objects(d, Package, "packages"),
+            tool=_get(d, Mapping, "tool"),  # type: ignore[type-abstract]
+        )
+        if not Version("1") <= pylock.lock_version < Version("2"):
+            raise PylockUnsupportedVersionError(
+                f"pylock version {pylock.lock_version} is not supported"
+            )
+        if pylock.lock_version > Version("1.0"):
+            _logger.warning(
+                "pylock minor version %s is not supported", pylock.lock_version
+            )
+        return pylock
+
+    @classmethod
+    def from_dict(cls, d: Mapping[str, Any], /) -> Self:
+        """Create and validate a Pylock instance from a TOML dictionary.
+
+        Raises :class:`PylockValidationError` if the input data is not
+        spec-compliant.
+        """
+        return cls._from_dict(d)
+
+    def to_dict(self) -> Mapping[str, Any]:
+        """Convert the Pylock instance to a TOML dictionary."""
+        return dataclasses.asdict(self, dict_factory=_toml_dict_factory)
+
+    def validate(self) -> None:
+        """Validate the Pylock instance against the specification.
+
+        Raises :class:`PylockValidationError` otherwise."""
+        self.from_dict(self.to_dict())
+
+    def select(
+        self,
+        *,
+        environment: Environment | None = None,
+        tags: Sequence[Tag] | None = None,
+        extras: Collection[str] | None = None,
+        dependency_groups: Collection[str] | None = None,
+    ) -> Iterator[
+        tuple[
+            Package,
+            PackageVcs
+            | PackageDirectory
+            | PackageArchive
+            | PackageWheel
+            | PackageSdist,
+        ]
+    ]:
+        """Select what to install from the lock file.
+
+        The *environment* and *tags* parameters represent the environment being
+        selected for. If unspecified, ``packaging.markers.default_environment()`` and
+        ``packaging.tags.sys_tags()`` are used.
+
+        The *extras* parameter represents the extras to install.
+
+        The *dependency_groups* parameter represents the groups to install. If
+        unspecified, the default groups are used.
+
+        This method must be used on valid Pylock instances (i.e. one obtained
+        from :meth:`Pylock.from_dict` or if constructed manually, after calling
+        :meth:`Pylock.validate`).
+        """
+        compatible_tags_selector = create_compatible_tags_selector(tags or sys_tags())
+
+        # #. Gather the extras and dependency groups to install and set ``extras`` and
+        #    ``dependency_groups`` for marker evaluation, respectively.
+        #
+        #    #. ``extras`` SHOULD be set to the empty set by default.
+        #    #. ``dependency_groups`` SHOULD be the set created from
+        #       :ref:`pylock-default-groups` by default.
+        env = cast(
+            "dict[str, str | frozenset[str]]",
+            dict(
+                environment or {},  # Marker.evaluate will fill-up
+                extras=frozenset(extras or []),
+                dependency_groups=frozenset(
+                    (self.default_groups or [])
+                    if dependency_groups is None  # to allow selecting no group
+                    else dependency_groups
+                ),
+            ),
+        )
+        env_python_full_version = (
+            environment["python_full_version"]
+            if environment
+            else default_environment()["python_full_version"]
+        )
+
+        # #. Check if the metadata version specified by :ref:`pylock-lock-version` is
+        #    supported; an error or warning MUST be raised as appropriate.
+        # Covered by lock.validate() which is a precondition for this method.
+
+        # #. If :ref:`pylock-requires-python` is specified, check that the environment
+        #    being installed for meets the requirement; an error MUST be raised if it is
+        #    not met.
+        if self.requires_python and not self.requires_python.contains(
+            env_python_full_version,
+        ):
+            raise PylockSelectError(
+                f"python_full_version {env_python_full_version!r} "
+                f"in provided environment does not satisfy the Python version "
+                f"requirement {str(self.requires_python)!r}"
+            )
+
+        # #. If :ref:`pylock-environments` is specified, check that at least one of the
+        #    environment marker expressions is satisfied; an error MUST be raised if no
+        #    expression is satisfied.
+        if self.environments:
+            for env_marker in self.environments:
+                if env_marker.evaluate(
+                    cast("dict[str, str]", environment or {}), context="requirement"
+                ):
+                    break
+            else:
+                raise PylockSelectError(
+                    "Provided environment does not satisfy any of the "
+                    "environments specified in the lock file"
+                )
+
+        # #. For each package listed in :ref:`pylock-packages`:
+        selected_packages_by_name: dict[str, tuple[int, Package]] = {}
+        for package_index, package in enumerate(self.packages):
+            # #. If :ref:`pylock-packages-marker` is specified, check if it is
+            #    satisfied;if it isn't, skip to the next package.
+            if package.marker and not package.marker.evaluate(env, context="lock_file"):
+                continue
+
+            # #. If :ref:`pylock-packages-requires-python` is specified, check if it is
+            #    satisfied; an error MUST be raised if it isn't.
+            if package.requires_python and not package.requires_python.contains(
+                env_python_full_version,
+            ):
+                raise PylockSelectError(
+                    f"python_full_version {env_python_full_version!r} "
+                    f"in provided environment does not satisfy the Python version "
+                    f"requirement {str(package.requires_python)!r} for package "
+                    f"{package.name!r} at packages[{package_index}]"
+                )
+
+            # #. Check that no other conflicting instance of the package has been slated
+            #    to be installed; an error about the ambiguity MUST be raised otherwise.
+            if package.name in selected_packages_by_name:
+                raise PylockSelectError(
+                    f"Multiple packages with the name {package.name!r} are "
+                    f"selected at packages[{package_index}] and "
+                    f"packages[{selected_packages_by_name[package.name][0]}]"
+                )
+
+            # #. Check that the source of the package is specified appropriately (i.e.
+            #    there are no conflicting sources in the package entry);
+            #    an error MUST be raised if any issues are found.
+            # Covered by lock.validate() which is a precondition for this method.
+
+            # #. Add the package to the set of packages to install.
+            selected_packages_by_name[package.name] = (package_index, package)
+
+        # #. For each package to be installed:
+        for package_index, package in selected_packages_by_name.values():
+            # - If :ref:`pylock-packages-vcs` is set:
+            if package.vcs is not None:
+                yield package, package.vcs
+
+            # - Else if :ref:`pylock-packages-directory` is set:
+            elif package.directory is not None:
+                yield package, package.directory
+
+            # - Else if :ref:`pylock-packages-archive` is set:
+            elif package.archive is not None:
+                yield package, package.archive
+
+            # - Else if there are entries for :ref:`pylock-packages-wheels`:
+            elif package.wheels:
+                # #. Look for the appropriate wheel file based on
+                #    :ref:`pylock-packages-wheels-name`; if one is not found then move
+                #    on to :ref:`pylock-packages-sdist` or an error MUST be raised about
+                #    a lack of source for the project.
+                best_wheel = next(
+                    compatible_tags_selector(
+                        (wheel, parse_wheel_filename(wheel.filename)[-1])
+                        for wheel in package.wheels
+                    ),
+                    None,
+                )
+                if best_wheel:
+                    yield package, best_wheel
+                elif package.sdist is not None:
+                    yield package, package.sdist
+                else:
+                    raise PylockSelectError(
+                        f"No wheel found matching the provided tags "
+                        f"for package {package.name!r} "
+                        f"at packages[{package_index}], "
+                        f"and no sdist available as a fallback"
+                    )
+
+            # - Else if no :ref:`pylock-packages-wheels` file is found or
+            #   :ref:`pylock-packages-sdist` is solely set:
+            elif package.sdist is not None:
+                yield package, package.sdist
+
+            else:
+                # Covered by lock.validate() which is a precondition for this method.
+                raise NotImplementedError  # pragma: no cover
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/requirements.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/requirements.py
new file mode 100644
index 0000000000000000000000000000000000000000..d5c786d161e98139dd5174e215343ae6697a6534
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/requirements.py
@@ -0,0 +1,129 @@
+# This file is dual licensed under the terms of the Apache License, Version
+# 2.0, and the BSD License. See the LICENSE file in the root of this repository
+# for complete details.
+from __future__ import annotations
+
+from typing import Iterator
+
+from ._parser import parse_requirement as _parse_requirement
+from ._tokenizer import ParserSyntaxError
+from .markers import Marker, _normalize_extra_values
+from .specifiers import SpecifierSet
+from .utils import canonicalize_name
+
+__all__ = [
+    "InvalidRequirement",
+    "Requirement",
+]
+
+
+def __dir__() -> list[str]:
+    return __all__
+
+
+class InvalidRequirement(ValueError):
+    """
+    An invalid requirement was found, users should refer to PEP 508.
+    """
+
+
+class Requirement:
+    """Parse a requirement.
+
+    Parse a given requirement string into its parts, such as name, specifier,
+    URL, and extras. Raises InvalidRequirement on a badly-formed requirement
+    string.
+
+    Instances are safe to serialize with :mod:`pickle`. They use a stable
+    format so the same pickle can be loaded in future packaging releases.
+
+    .. versionchanged:: 26.2
+
+        Added a stable pickle format. Pickles created with packaging 26.2+ can
+        be unpickled with future releases.  Backward compatibility with pickles
+        from pip._vendor.packaging < 26.2 is supported but may be removed in a future
+        release.
+    """
+
+    # TODO: Can we test whether something is contained within a requirement?
+    #       If so how do we do that? Do we need to test against the _name_ of
+    #       the thing as well as the version? What about the markers?
+    # TODO: Can we normalize the name and extra name?
+
+    def __init__(self, requirement_string: str) -> None:
+        try:
+            parsed = _parse_requirement(requirement_string)
+        except ParserSyntaxError as e:
+            raise InvalidRequirement(str(e)) from e
+
+        self.name: str = parsed.name
+        self.url: str | None = parsed.url or None
+        self.extras: set[str] = set(parsed.extras or [])
+        self.specifier: SpecifierSet = SpecifierSet(parsed.specifier)
+        self.marker: Marker | None = None
+        if parsed.marker is not None:
+            self.marker = Marker.__new__(Marker)
+            self.marker._markers = _normalize_extra_values(parsed.marker)
+
+    def _iter_parts(self, name: str) -> Iterator[str]:
+        yield name
+
+        if self.extras:
+            formatted_extras = ",".join(sorted(self.extras))
+            yield f"[{formatted_extras}]"
+
+        if self.specifier:
+            yield str(self.specifier)
+
+        if self.url:
+            yield f" @ {self.url}"
+            if self.marker:
+                yield " "
+
+        if self.marker:
+            yield f"; {self.marker}"
+
+    def __getstate__(self) -> str:
+        # Return the requirement string for compactness and stability.
+        # Re-parsed on load to reconstruct all fields.
+        return str(self)
+
+    def __setstate__(self, state: object) -> None:
+        if isinstance(state, str):
+            # New format (26.2+): just the requirement string.
+            try:
+                tmp = Requirement(state)
+            except InvalidRequirement as exc:
+                raise TypeError(f"Cannot restore Requirement from {state!r}") from exc
+            self.name = tmp.name
+            self.url = tmp.url
+            self.extras = tmp.extras
+            self.specifier = tmp.specifier
+            self.marker = tmp.marker
+            return
+        if isinstance(state, dict):
+            # Old format (packaging <= 26.1, no __slots__): plain __dict__.
+            self.__dict__.update(state)
+            return
+        raise TypeError(f"Cannot restore Requirement from {state!r}")
+
+    def __str__(self) -> str:
+        return "".join(self._iter_parts(self.name))
+
+    def __repr__(self) -> str:
+        return f"<{self.__class__.__name__}({str(self)!r})>"
+
+    def __hash__(self) -> int:
+        return hash(tuple(self._iter_parts(canonicalize_name(self.name))))
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, Requirement):
+            return NotImplemented
+
+        return (
+            canonicalize_name(self.name) == canonicalize_name(other.name)
+            and self.extras == other.extras
+            and self.specifier == other.specifier
+            and self.url == other.url
+            and self.marker == other.marker
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/specifiers.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/specifiers.py
new file mode 100644
index 0000000000000000000000000000000000000000..83e0015026c46642bd4aabab948504f4ea52f7fa
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/specifiers.py
@@ -0,0 +1,1943 @@
+# This file is dual licensed under the terms of the Apache License, Version
+# 2.0, and the BSD License. See the LICENSE file in the root of this repository
+# for complete details.
+"""
+.. testsetup::
+
+    from pip._vendor.packaging.specifiers import Specifier, SpecifierSet, InvalidSpecifier
+    from pip._vendor.packaging.version import Version
+"""
+
+from __future__ import annotations
+
+import abc
+import enum
+import functools
+import itertools
+import re
+import sys
+import typing
+from typing import (
+    TYPE_CHECKING,
+    Any,
+    Callable,
+    Final,
+    Iterable,
+    Iterator,
+    Sequence,
+    TypeVar,
+    Union,
+)
+
+from .utils import canonicalize_version
+from .version import InvalidVersion, Version
+
+if sys.version_info >= (3, 10):
+    from typing import TypeGuard  # pragma: no cover
+elif TYPE_CHECKING:
+    from typing_extensions import TypeGuard
+
+__all__ = [
+    "BaseSpecifier",
+    "InvalidSpecifier",
+    "Specifier",
+    "SpecifierSet",
+]
+
+
+def __dir__() -> list[str]:
+    return __all__
+
+
+def _validate_spec(spec: object, /) -> TypeGuard[tuple[str, str]]:
+    return (
+        isinstance(spec, tuple)
+        and len(spec) == 2
+        and isinstance(spec[0], str)
+        and isinstance(spec[1], str)
+    )
+
+
+def _validate_pre(pre: object, /) -> TypeGuard[bool | None]:
+    return pre is None or isinstance(pre, bool)
+
+
+T = TypeVar("T")
+UnparsedVersion = Union[Version, str]
+UnparsedVersionVar = TypeVar("UnparsedVersionVar", bound=UnparsedVersion)
+CallableOperator = Callable[[Version, str], bool]
+
+# The smallest possible PEP 440 version. No valid version is less than this.
+_MIN_VERSION: Final[Version] = Version("0.dev0")
+
+
+def _trim_release(release: tuple[int, ...]) -> tuple[int, ...]:
+    """Strip trailing zeros from a release tuple for normalized comparison."""
+    end = len(release)
+    while end > 1 and release[end - 1] == 0:
+        end -= 1
+    return release if end == len(release) else release[:end]
+
+
+class _BoundaryKind(enum.Enum):
+    """Where a boundary marker sits in the version ordering."""
+
+    AFTER_LOCALS = enum.auto()  # after V+local, before V.post0
+    AFTER_POSTS = enum.auto()  # after V.postN, before next release
+
+
+@functools.total_ordering
+class _BoundaryVersion:
+    """A point on the version line between two real PEP 440 versions.
+
+    Some specifier semantics imply boundaries between real versions:
+    ``<=1.0`` includes ``1.0+local`` and ``>1.0`` excludes
+    ``1.0.post0``.  No real :class:`Version` falls on those boundaries,
+    so this class creates values that sort between the real versions
+    on either side.
+
+    Two kinds exist, shown relative to a base version V::
+
+        V < V+local < AFTER_LOCALS(V) < V.post0 < AFTER_POSTS(V)
+
+    ``AFTER_LOCALS`` sits after V and every V+local, but before
+    V.post0.  Upper bound of ``<=V``, ``==V``, ``!=V``.
+
+    ``AFTER_POSTS`` sits after every V.postN, but before the next
+    release segment.  Lower bound of ``>V`` (final or pre-release V)
+    to exclude post-releases per PEP 440.
+    """
+
+    __slots__ = ("_kind", "_trimmed_release", "version")
+
+    def __init__(self, version: Version, kind: _BoundaryKind) -> None:
+        self.version = version
+        self._kind = kind
+        self._trimmed_release = _trim_release(version.release)
+
+    def _is_family(self, other: Version) -> bool:
+        """Is ``other`` a version that this boundary sorts above?"""
+        v = self.version
+        if not (
+            other.epoch == v.epoch
+            and _trim_release(other.release) == self._trimmed_release
+            and other.pre == v.pre
+        ):
+            return False
+        if self._kind == _BoundaryKind.AFTER_LOCALS:
+            # Local family: exact same public version (any local label).
+            return other.post == v.post and other.dev == v.dev
+        # Post family: same base + any post-release (or identical).
+        return other.dev == v.dev or other.post is not None
+
+    def __eq__(self, other: object) -> bool:
+        if isinstance(other, _BoundaryVersion):
+            return self.version == other.version and self._kind == other._kind
+        return NotImplemented
+
+    def __lt__(self, other: _BoundaryVersion | Version) -> bool:
+        if isinstance(other, _BoundaryVersion):
+            if self.version != other.version:
+                return self.version < other.version
+            return self._kind.value < other._kind.value
+        return not self._is_family(other) and self.version < other
+
+    def __hash__(self) -> int:
+        return hash((self.version, self._kind))
+
+    def __repr__(self) -> str:
+        return f"{self.__class__.__name__}({self.version!r}, {self._kind.name})"
+
+
+@functools.total_ordering
+class _LowerBound:
+    """Lower bound of a version range.
+
+    A version *v* of ``None`` means unbounded below (-inf).
+    At equal versions, ``[v`` sorts before ``(v`` because an inclusive
+    bound starts earlier.
+    """
+
+    __slots__ = ("inclusive", "version")
+
+    def __init__(self, version: _VersionOrBoundary, inclusive: bool) -> None:
+        self.version = version
+        self.inclusive = inclusive
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, _LowerBound):
+            return NotImplemented  # pragma: no cover
+        return self.version == other.version and self.inclusive == other.inclusive
+
+    def __lt__(self, other: _LowerBound) -> bool:
+        if not isinstance(other, _LowerBound):  # pragma: no cover
+            return NotImplemented
+        # -inf < anything (except -inf).
+        if self.version is None:
+            return other.version is not None
+        if other.version is None:
+            return False
+        if self.version != other.version:
+            return self.version < other.version
+        # [v < (v: inclusive starts earlier.
+        return self.inclusive and not other.inclusive
+
+    def __hash__(self) -> int:
+        return hash((self.version, self.inclusive))
+
+    def __repr__(self) -> str:
+        bracket = "[" if self.inclusive else "("
+        return f"<{self.__class__.__name__} {bracket}{self.version!r}>"
+
+
+@functools.total_ordering
+class _UpperBound:
+    """Upper bound of a version range.
+
+    A version *v* of ``None`` means unbounded above (+inf).
+    At equal versions, ``v)`` sorts before ``v]`` because an exclusive
+    bound ends earlier.
+    """
+
+    __slots__ = ("inclusive", "version")
+
+    def __init__(self, version: _VersionOrBoundary, inclusive: bool) -> None:
+        self.version = version
+        self.inclusive = inclusive
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, _UpperBound):
+            return NotImplemented  # pragma: no cover
+        return self.version == other.version and self.inclusive == other.inclusive
+
+    def __lt__(self, other: _UpperBound) -> bool:
+        if not isinstance(other, _UpperBound):  # pragma: no cover
+            return NotImplemented
+        # Nothing < +inf (except +inf itself).
+        if self.version is None:
+            return False
+        if other.version is None:
+            return True
+        if self.version != other.version:
+            return self.version < other.version
+        # v) < v]: exclusive ends earlier.
+        return not self.inclusive and other.inclusive
+
+    def __hash__(self) -> int:
+        return hash((self.version, self.inclusive))
+
+    def __repr__(self) -> str:
+        bracket = "]" if self.inclusive else ")"
+        return f"<{self.__class__.__name__} {self.version!r}{bracket}>"
+
+
+if typing.TYPE_CHECKING:
+    _VersionOrBoundary = Union[Version, _BoundaryVersion, None]
+
+    #: A single contiguous version range, represented as a
+    #: (lower bound, upper bound) pair.
+    _VersionRange = tuple[_LowerBound, _UpperBound]
+
+_NEG_INF = _LowerBound(None, False)
+_POS_INF = _UpperBound(None, False)
+_FULL_RANGE: tuple[_VersionRange] = ((_NEG_INF, _POS_INF),)
+
+
+def _range_is_empty(lower: _LowerBound, upper: _UpperBound) -> bool:
+    """True when the range defined by *lower* and *upper* contains no versions."""
+    if lower.version is None or upper.version is None:
+        return False
+    if lower.version == upper.version:
+        return not (lower.inclusive and upper.inclusive)
+    return lower.version > upper.version
+
+
+def _intersect_ranges(
+    left: Sequence[_VersionRange],
+    right: Sequence[_VersionRange],
+) -> list[_VersionRange]:
+    """Intersect two sorted, non-overlapping range lists (two-pointer merge)."""
+    result: list[_VersionRange] = []
+    left_index = right_index = 0
+    while left_index < len(left) and right_index < len(right):
+        left_lower, left_upper = left[left_index]
+        right_lower, right_upper = right[right_index]
+
+        lower = max(left_lower, right_lower)
+        upper = min(left_upper, right_upper)
+
+        if not _range_is_empty(lower, upper):
+            result.append((lower, upper))
+
+        # Advance whichever side has the smaller upper bound.
+        if left_upper < right_upper:
+            left_index += 1
+        else:
+            right_index += 1
+
+    return result
+
+
+def _next_prefix_dev0(version: Version) -> Version:
+    """Smallest version in the next prefix: 1.2 -> 1.3.dev0."""
+    release = (*version.release[:-1], version.release[-1] + 1)
+    return Version.from_parts(epoch=version.epoch, release=release, dev=0)
+
+
+def _base_dev0(version: Version) -> Version:
+    """The .dev0 of a version's base release: 1.2 -> 1.2.dev0."""
+    return Version.from_parts(epoch=version.epoch, release=version.release, dev=0)
+
+
+def _coerce_version(version: UnparsedVersion) -> Version | None:
+    if not isinstance(version, Version):
+        try:
+            version = Version(version)
+        except InvalidVersion:
+            return None
+    return version
+
+
+def _public_version(version: Version) -> Version:
+    if version.local is None:
+        return version
+    return version.__replace__(local=None)
+
+
+def _post_base(version: Version) -> Version:
+    """The version that *version* is a post-release of.
+
+    1.0.post1 -> 1.0, 1.0a1.post0 -> 1.0a1, 1.0.post0.dev1 -> 1.0.
+    """
+    return version.__replace__(post=None, dev=None, local=None)
+
+
+def _earliest_prerelease(version: Version) -> Version:
+    """Earliest pre-release of *version*.
+
+    1.2 -> 1.2.dev0, 1.2.post1 -> 1.2.post1.dev0.
+    """
+    return version.__replace__(dev=0, local=None)
+
+
+def _nearest_non_prerelease(
+    v: _VersionOrBoundary,
+) -> Version | None:
+    """Smallest non-pre-release version at or above *v*, or None."""
+    if v is None:
+        return None
+    if isinstance(v, _BoundaryVersion):
+        inner = v.version
+        if inner.is_prerelease:
+            # AFTER_LOCALS(1.0a1) -> nearest non-pre is 1.0
+            return inner.__replace__(pre=None, dev=None, local=None)
+        # AFTER_LOCALS(1.0) -> nearest non-pre is 1.0.post0
+        # AFTER_LOCALS(1.0.post0) -> nearest non-pre is 1.0.post1
+        k = (inner.post + 1) if inner.post is not None else 0
+        return inner.__replace__(post=k, local=None)
+    if not v.is_prerelease:
+        return v
+    # Strip pre/dev to get the final or post-release form.
+    return v.__replace__(pre=None, dev=None, local=None)
+
+
+class InvalidSpecifier(ValueError):
+    """
+    Raised when attempting to create a :class:`Specifier` with a specifier
+    string that is invalid.
+
+    >>> Specifier("lolwat")
+    Traceback (most recent call last):
+        ...
+    packaging.specifiers.InvalidSpecifier: Invalid specifier: 'lolwat'
+    """
+
+
+class BaseSpecifier(metaclass=abc.ABCMeta):
+    __slots__ = ()
+    __match_args__ = ("_str",)
+
+    @property
+    def _str(self) -> str:
+        """Internal property for match_args"""
+        return str(self)
+
+    @abc.abstractmethod
+    def __str__(self) -> str:
+        """
+        Returns the str representation of this Specifier-like object. This
+        should be representative of the Specifier itself.
+        """
+
+    @abc.abstractmethod
+    def __hash__(self) -> int:
+        """
+        Returns a hash value for this Specifier-like object.
+        """
+
+    @abc.abstractmethod
+    def __eq__(self, other: object) -> bool:
+        """
+        Returns a boolean representing whether or not the two Specifier-like
+        objects are equal.
+
+        :param other: The other object to check against.
+        """
+
+    @property
+    @abc.abstractmethod
+    def prereleases(self) -> bool | None:
+        """Whether or not pre-releases as a whole are allowed.
+
+        This can be set to either ``True`` or ``False`` to explicitly enable or disable
+        prereleases or it can be set to ``None`` (the default) to use default semantics.
+        """
+
+    @prereleases.setter  # noqa: B027
+    def prereleases(self, value: bool) -> None:
+        """Setter for :attr:`prereleases`.
+
+        :param value: The value to set.
+        """
+
+    @abc.abstractmethod
+    def contains(self, item: str, prereleases: bool | None = None) -> bool:
+        """
+        Determines if the given item is contained within this specifier.
+        """
+
+    @typing.overload
+    def filter(
+        self,
+        iterable: Iterable[UnparsedVersionVar],
+        prereleases: bool | None = None,
+        key: None = ...,
+    ) -> Iterator[UnparsedVersionVar]: ...
+
+    @typing.overload
+    def filter(
+        self,
+        iterable: Iterable[T],
+        prereleases: bool | None = None,
+        key: Callable[[T], UnparsedVersion] = ...,
+    ) -> Iterator[T]: ...
+
+    @abc.abstractmethod
+    def filter(
+        self,
+        iterable: Iterable[Any],
+        prereleases: bool | None = None,
+        key: Callable[[Any], UnparsedVersion] | None = None,
+    ) -> Iterator[Any]:
+        """
+        Takes an iterable of items and filters them so that only items which
+        are contained within this specifier are allowed in it.
+        """
+
+
+class Specifier(BaseSpecifier):
+    """This class abstracts handling of version specifiers.
+
+    .. tip::
+
+        It is generally not required to instantiate this manually. You should instead
+        prefer to work with :class:`SpecifierSet` instead, which can parse
+        comma-separated version specifiers (which is what package metadata contains).
+
+    Instances are safe to serialize with :mod:`pickle`. They use a stable
+    format so the same pickle can be loaded in future packaging releases.
+
+    .. versionchanged:: 26.2
+
+        Added a stable pickle format. Pickles created with packaging 26.2+ can
+        be unpickled with future releases.  Backward compatibility with pickles
+        from pip._vendor.packaging < 26.2 is supported but may be removed in a future
+        release.
+    """
+
+    __slots__ = (
+        "_prereleases",
+        "_ranges",
+        "_spec",
+        "_spec_version",
+        "_wildcard_split",
+    )
+
+    _specifier_regex_str = r"""
+        (?:
+            (?:
+                # The identity operators allow for an escape hatch that will
+                # do an exact string match of the version you wish to install.
+                # This will not be parsed by PEP 440 and we cannot determine
+                # any semantic meaning from it. This operator is discouraged
+                # but included entirely as an escape hatch.
+                ===  # Only match for the identity operator
+                \s*
+                [^\s;)]*  # The arbitrary version can be just about anything,
+                          # we match everything except for whitespace, a
+                          # semi-colon for marker support, and a closing paren
+                          # since versions can be enclosed in them.
+            )
+            |
+            (?:
+                # The (non)equality operators allow for wild card and local
+                # versions to be specified so we have to define these two
+                # operators separately to enable that.
+                (?:==|!=)            # Only match for equals and not equals
+
+                \s*
+                v?
+                (?:[0-9]+!)?          # epoch
+                [0-9]+(?:\.[0-9]+)*   # release
+
+                # You cannot use a wild card and a pre-release, post-release, a dev or
+                # local version together so group them with a | and make them optional.
+                (?:
+                    \.\*  # Wild card syntax of .*
+                    |
+                    (?a:                                  # pre release
+                        [-_\.]?
+                        (alpha|beta|preview|pre|a|b|c|rc)
+                        [-_\.]?
+                        [0-9]*
+                    )?
+                    (?a:                                  # post release
+                        (?:-[0-9]+)|(?:[-_\.]?(post|rev|r)[-_\.]?[0-9]*)
+                    )?
+                    (?a:[-_\.]?dev[-_\.]?[0-9]*)?         # dev release
+                    (?a:\+[a-z0-9]+(?:[-_\.][a-z0-9]+)*)? # local
+                )?
+            )
+            |
+            (?:
+                # The compatible operator requires at least two digits in the
+                # release segment.
+                (?:~=)               # Only match for the compatible operator
+
+                \s*
+                v?
+                (?:[0-9]+!)?          # epoch
+                [0-9]+(?:\.[0-9]+)+   # release  (We have a + instead of a *)
+                (?:                   # pre release
+                    [-_\.]?
+                    (alpha|beta|preview|pre|a|b|c|rc)
+                    [-_\.]?
+                    [0-9]*
+                )?
+                (?:                                   # post release
+                    (?:-[0-9]+)|(?:[-_\.]?(post|rev|r)[-_\.]?[0-9]*)
+                )?
+                (?:[-_\.]?dev[-_\.]?[0-9]*)?          # dev release
+            )
+            |
+            (?:
+                # All other operators only allow a sub set of what the
+                # (non)equality operators do. Specifically they do not allow
+                # local versions to be specified nor do they allow the prefix
+                # matching wild cards.
+                (?:<=|>=|<|>)
+
+                \s*
+                v?
+                (?:[0-9]+!)?          # epoch
+                [0-9]+(?:\.[0-9]+)*   # release
+                (?a:                   # pre release
+                    [-_\.]?
+                    (alpha|beta|preview|pre|a|b|c|rc)
+                    [-_\.]?
+                    [0-9]*
+                )?
+                (?a:                                   # post release
+                    (?:-[0-9]+)|(?:[-_\.]?(post|rev|r)[-_\.]?[0-9]*)
+                )?
+                (?a:[-_\.]?dev[-_\.]?[0-9]*)?          # dev release
+            )
+        )
+        """
+
+    _regex = re.compile(
+        r"\s*" + _specifier_regex_str + r"\s*", re.VERBOSE | re.IGNORECASE
+    )
+
+    _operators: Final = {
+        "~=": "compatible",
+        "==": "equal",
+        "!=": "not_equal",
+        "<=": "less_than_equal",
+        ">=": "greater_than_equal",
+        "<": "less_than",
+        ">": "greater_than",
+        "===": "arbitrary",
+    }
+
+    def __init__(self, spec: str = "", prereleases: bool | None = None) -> None:
+        """Initialize a Specifier instance.
+
+        :param spec:
+            The string representation of a specifier which will be parsed and
+            normalized before use.
+        :param prereleases:
+            This tells the specifier if it should accept prerelease versions if
+            applicable or not. The default of ``None`` will autodetect it from the
+            given specifiers.
+        :raises InvalidSpecifier:
+            If the given specifier is invalid (i.e. bad syntax).
+        """
+        if not self._regex.fullmatch(spec):
+            raise InvalidSpecifier(f"Invalid specifier: {spec!r}")
+
+        spec = spec.strip()
+        if spec.startswith("==="):
+            operator, version = spec[:3], spec[3:].strip()
+        elif spec.startswith(("~=", "==", "!=", "<=", ">=")):
+            operator, version = spec[:2], spec[2:].strip()
+        else:
+            operator, version = spec[:1], spec[1:].strip()
+
+        self._spec: tuple[str, str] = (operator, version)
+
+        # Store whether or not this Specifier should accept prereleases
+        self._prereleases = prereleases
+
+        # Specifier version cache
+        self._spec_version: tuple[str, Version] | None = None
+
+        # Populated on first wildcard (==X.*) comparison
+        self._wildcard_split: tuple[list[str], int] | None = None
+
+        # Version range cache (populated by _to_ranges)
+        self._ranges: Sequence[_VersionRange] | None = None
+
+    def _get_spec_version(self, version: str) -> Version | None:
+        """One element cache, as only one spec Version is needed per Specifier."""
+        if self._spec_version is not None and self._spec_version[0] == version:
+            return self._spec_version[1]
+
+        version_specifier = _coerce_version(version)
+        if version_specifier is None:
+            return None
+
+        self._spec_version = (version, version_specifier)
+        return version_specifier
+
+    def _require_spec_version(self, version: str) -> Version:
+        """Get spec version, asserting it's valid (not for === operator).
+
+        This method should only be called for operators where version
+        strings are guaranteed to be valid PEP 440 versions (not ===).
+        """
+        spec_version = self._get_spec_version(version)
+        assert spec_version is not None
+        return spec_version
+
+    def _to_ranges(self) -> Sequence[_VersionRange]:
+        """Convert this specifier to sorted, non-overlapping version ranges.
+
+        Each standard operator maps to one or two ranges.  ``===`` is
+        modeled as full range (actual check done separately).  Cached.
+        """
+        if self._ranges is not None:
+            return self._ranges
+
+        op = self.operator
+        ver_str = self.version
+
+        if op == "===":
+            self._ranges = _FULL_RANGE
+            return _FULL_RANGE
+
+        if ver_str.endswith(".*"):
+            result = self._wildcard_ranges(op, ver_str)
+        else:
+            result = self._standard_ranges(op, ver_str)
+
+        self._ranges = result
+        return result
+
+    def _wildcard_ranges(self, op: str, ver_str: str) -> list[_VersionRange]:
+        # ==1.2.* -> [1.2.dev0, 1.3.dev0);  !=1.2.* -> complement.
+        base = self._require_spec_version(ver_str[:-2])
+        lower = _base_dev0(base)
+        upper = _next_prefix_dev0(base)
+        if op == "==":
+            return [(_LowerBound(lower, True), _UpperBound(upper, False))]
+        # !=
+        return [
+            (_NEG_INF, _UpperBound(lower, False)),
+            (_LowerBound(upper, True), _POS_INF),
+        ]
+
+    def _standard_ranges(self, op: str, ver_str: str) -> list[_VersionRange]:
+        v = self._require_spec_version(ver_str)
+
+        if op == ">=":
+            return [(_LowerBound(v, True), _POS_INF)]
+
+        if op == "<=":
+            return [
+                (
+                    _NEG_INF,
+                    _UpperBound(_BoundaryVersion(v, _BoundaryKind.AFTER_LOCALS), True),
+                )
+            ]
+
+        if op == ">":
+            if v.dev is not None:
+                # >V.devN: dev versions have no post-releases, so the
+                # next real version is V.dev(N+1).
+                lower_ver = v.__replace__(dev=v.dev + 1, local=None)
+                return [(_LowerBound(lower_ver, True), _POS_INF)]
+            if v.post is not None:
+                # >V.postN: next real version is V.post(N+1).dev0.
+                lower_ver = v.__replace__(post=v.post + 1, dev=0, local=None)
+                return [(_LowerBound(lower_ver, True), _POS_INF)]
+            # >V (final or pre-release): skip V+local and all V.postN.
+            return [
+                (
+                    _LowerBound(_BoundaryVersion(v, _BoundaryKind.AFTER_POSTS), False),
+                    _POS_INF,
+                )
+            ]
+
+        if op == "<":
+            #  bool | None:
+        # If there is an explicit prereleases set for this, then we'll just
+        # blindly use that.
+        if self._prereleases is not None:
+            return self._prereleases
+
+        # Only the "!=" operator does not imply prereleases when
+        # the version in the specifier is a prerelease.
+        operator, version_str = self._spec
+        if operator == "!=":
+            return False
+
+        # The == specifier with trailing .* cannot include prereleases
+        # e.g. "==1.0a1.*" is not valid.
+        if operator == "==" and version_str.endswith(".*"):
+            return False
+
+        # "===" can have arbitrary string versions, so we cannot parse
+        # those, we take prereleases as unknown (None) for those.
+        version = self._get_spec_version(version_str)
+        if version is None:
+            return None
+
+        # For all other operators, use the check if spec Version
+        # object implies pre-releases.
+        return version.is_prerelease
+
+    @prereleases.setter
+    def prereleases(self, value: bool | None) -> None:
+        self._prereleases = value
+
+    def __getstate__(self) -> tuple[tuple[str, str], bool | None]:
+        # Return state as a 2-item tuple for compactness:
+        #   ((operator, version), prereleases)
+        # Cache members are excluded and will be recomputed on demand.
+        return (self._spec, self._prereleases)
+
+    def __setstate__(self, state: object) -> None:
+        # Always discard cached values - they will be recomputed on demand.
+        self._spec_version = None
+        self._wildcard_split = None
+        self._ranges = None
+
+        if isinstance(state, tuple):
+            if len(state) == 2:
+                # New format (26.2+): ((operator, version), prereleases)
+                spec, prereleases = state
+                if _validate_spec(spec) and _validate_pre(prereleases):
+                    self._spec = spec
+                    self._prereleases = prereleases
+                    return
+            if len(state) == 2 and isinstance(state[1], dict):
+                # Format (packaging 26.0-26.1): (None, {slot: value}).
+                _, slot_dict = state
+                spec = slot_dict.get("_spec")
+                prereleases = slot_dict.get("_prereleases", "invalid")
+                if _validate_spec(spec) and _validate_pre(prereleases):
+                    self._spec = spec
+                    self._prereleases = prereleases
+                    return
+        if isinstance(state, dict):
+            # Old format (packaging <= 25.x, no __slots__): state is a plain dict.
+            spec = state.get("_spec")
+            prereleases = state.get("_prereleases", "invalid")
+            if _validate_spec(spec) and _validate_pre(prereleases):
+                self._spec = spec
+                self._prereleases = prereleases
+                return
+
+        raise TypeError(f"Cannot restore Specifier from {state!r}")
+
+    @property
+    def operator(self) -> str:
+        """The operator of this specifier.
+
+        >>> Specifier("==1.2.3").operator
+        '=='
+        """
+        return self._spec[0]
+
+    @property
+    def version(self) -> str:
+        """The version of this specifier.
+
+        >>> Specifier("==1.2.3").version
+        '1.2.3'
+        """
+        return self._spec[1]
+
+    def __repr__(self) -> str:
+        """A representation of the Specifier that shows all internal state.
+
+        >>> Specifier('>=1.0.0')
+        =1.0.0')>
+        >>> Specifier('>=1.0.0', prereleases=False)
+        =1.0.0', prereleases=False)>
+        >>> Specifier('>=1.0.0', prereleases=True)
+        =1.0.0', prereleases=True)>
+        """
+        pre = (
+            f", prereleases={self.prereleases!r}"
+            if self._prereleases is not None
+            else ""
+        )
+
+        return f"<{self.__class__.__name__}({str(self)!r}{pre})>"
+
+    def __str__(self) -> str:
+        """A string representation of the Specifier that can be round-tripped.
+
+        >>> str(Specifier('>=1.0.0'))
+        '>=1.0.0'
+        >>> str(Specifier('>=1.0.0', prereleases=False))
+        '>=1.0.0'
+        """
+        return "{}{}".format(*self._spec)
+
+    @property
+    def _canonical_spec(self) -> tuple[str, str]:
+        operator, version = self._spec
+        if operator == "===" or version.endswith(".*"):
+            return operator, version
+
+        spec_version = self._require_spec_version(version)
+
+        canonical_version = canonicalize_version(
+            spec_version, strip_trailing_zero=(operator != "~=")
+        )
+
+        return operator, canonical_version
+
+    def __hash__(self) -> int:
+        return hash(self._canonical_spec)
+
+    def __eq__(self, other: object) -> bool:
+        """Whether or not the two Specifier-like objects are equal.
+
+        :param other: The other object to check against.
+
+        The value of :attr:`prereleases` is ignored.
+
+        >>> Specifier("==1.2.3") == Specifier("== 1.2.3.0")
+        True
+        >>> (Specifier("==1.2.3", prereleases=False) ==
+        ...  Specifier("==1.2.3", prereleases=True))
+        True
+        >>> Specifier("==1.2.3") == "==1.2.3"
+        True
+        >>> Specifier("==1.2.3") == Specifier("==1.2.4")
+        False
+        >>> Specifier("==1.2.3") == Specifier("~=1.2.3")
+        False
+        """
+        if isinstance(other, str):
+            try:
+                other = self.__class__(str(other))
+            except InvalidSpecifier:
+                return NotImplemented
+        elif not isinstance(other, self.__class__):
+            return NotImplemented
+
+        return self._canonical_spec == other._canonical_spec
+
+    def _get_operator(self, op: str) -> CallableOperator:
+        operator_callable: CallableOperator = getattr(
+            self, f"_compare_{self._operators[op]}"
+        )
+        return operator_callable
+
+    def _compare_compatible(self, prospective: Version, spec: str) -> bool:
+        # Compatible releases have an equivalent combination of >= and ==. That
+        # is that ~=2.2 is equivalent to >=2.2,==2.*. This allows us to
+        # implement this in terms of the other specifiers instead of
+        # implementing it ourselves. The only thing we need to do is construct
+        # the other specifiers.
+
+        # We want everything but the last item in the version, but we want to
+        # ignore suffix segments.
+        prefix = _version_join(
+            list(itertools.takewhile(_is_not_suffix, _version_split(spec)))[:-1]
+        )
+
+        # Add the prefix notation to the end of our string
+        prefix += ".*"
+
+        return (self._compare_greater_than_equal(prospective, spec)) and (
+            self._compare_equal(prospective, prefix)
+        )
+
+    def _get_wildcard_split(self, spec: str) -> tuple[list[str], int]:
+        """Cached split of a wildcard spec into components and numeric length.
+
+        >>> Specifier("==1.*")._get_wildcard_split("1.*")
+        (['0', '1'], 2)
+        >>> Specifier("==3.10.*")._get_wildcard_split("3.10.*")
+        (['0', '3', '10'], 3)
+        """
+        wildcard_split = self._wildcard_split
+        if wildcard_split is None:
+            normalized = canonicalize_version(spec[:-2], strip_trailing_zero=False)
+            split_spec = _version_split(normalized)
+            wildcard_split = (split_spec, _numeric_prefix_len(split_spec))
+            self._wildcard_split = wildcard_split
+        return wildcard_split
+
+    def _compare_equal(self, prospective: Version, spec: str) -> bool:
+        # We need special logic to handle prefix matching
+        if spec.endswith(".*"):
+            split_spec, spec_numeric_len = self._get_wildcard_split(spec)
+
+            # In the case of prefix matching we want to ignore local segment.
+            normalized_prospective = canonicalize_version(
+                _public_version(prospective), strip_trailing_zero=False
+            )
+            # Split the prospective version out by bangs and dots, and pretend
+            # that there is an implicit dot in between a release segment and
+            # a pre-release segment.
+            split_prospective = _version_split(normalized_prospective)
+
+            # 0-pad the prospective version before shortening it to get the correct
+            # shortened version.
+            padded_prospective = _left_pad(split_prospective, spec_numeric_len)
+
+            # Shorten the prospective version to be the same length as the spec
+            # so that we can determine if the specifier is a prefix of the
+            # prospective version or not.
+            shortened_prospective = padded_prospective[: len(split_spec)]
+
+            return shortened_prospective == split_spec
+        else:
+            # Convert our spec string into a Version
+            spec_version = self._require_spec_version(spec)
+
+            # If the specifier does not have a local segment, then we want to
+            # act as if the prospective version also does not have a local
+            # segment.
+            if not spec_version.local:
+                prospective = _public_version(prospective)
+
+            return prospective == spec_version
+
+    def _compare_not_equal(self, prospective: Version, spec: str) -> bool:
+        return not self._compare_equal(prospective, spec)
+
+    def _compare_less_than_equal(self, prospective: Version, spec: str) -> bool:
+        # NB: Local version identifiers are NOT permitted in the version
+        # specifier, so local version labels can be universally removed from
+        # the prospective version.
+        return _public_version(prospective) <= self._require_spec_version(spec)
+
+    def _compare_greater_than_equal(self, prospective: Version, spec: str) -> bool:
+        # NB: Local version identifiers are NOT permitted in the version
+        # specifier, so local version labels can be universally removed from
+        # the prospective version.
+        return _public_version(prospective) >= self._require_spec_version(spec)
+
+    def _compare_less_than(self, prospective: Version, spec_str: str) -> bool:
+        # Convert our spec to a Version instance, since we'll want to work with
+        # it as a version.
+        spec = self._require_spec_version(spec_str)
+
+        # Check to see if the prospective version is less than the spec
+        # version. If it's not we can short circuit and just return False now
+        # instead of doing extra unneeded work.
+        if not prospective < spec:
+            return False
+
+        # The spec says: "= _earliest_prerelease(spec)
+        ):
+            return False
+
+        # If we've gotten to here, it means that prospective version is both
+        # less than the spec version *and* it's not a pre-release of the same
+        # version in the spec.
+        return True
+
+    def _compare_greater_than(self, prospective: Version, spec_str: str) -> bool:
+        # Convert our spec to a Version instance, since we'll want to work with
+        # it as a version.
+        spec = self._require_spec_version(spec_str)
+
+        # Check to see if the prospective version is greater than the spec
+        # version. If it's not we can short circuit and just return False now
+        # instead of doing extra unneeded work.
+        if not prospective > spec:
+            return False
+
+        # The spec says: ">V MUST NOT allow a post-release of the specified
+        # version unless the specified version is itself a post-release."
+        if (
+            not spec.is_postrelease
+            and prospective.is_postrelease
+            and _post_base(prospective) == spec
+        ):
+            return False
+
+        # Per the spec: ">V MUST NOT match a local version of the specified
+        # version". A "local version of V" is any version whose public part
+        # equals V. So >1.0a1 must not match 1.0a1+local, but must still
+        # match 1.0a2+local.
+        if prospective.local is not None and _public_version(prospective) == spec:
+            return False
+
+        # If we've gotten to here, it means that prospective version is both
+        # greater than the spec version *and* it's not a pre-release of the
+        # same version in the spec.
+        return True
+
+    def _compare_arbitrary(self, prospective: Version | str, spec: str) -> bool:
+        return str(prospective).lower() == str(spec).lower()
+
+    def __contains__(self, item: str | Version) -> bool:
+        """Return whether or not the item is contained in this specifier.
+
+        :param item: The item to check for.
+
+        This is used for the ``in`` operator and behaves the same as
+        :meth:`contains` with no ``prereleases`` argument passed.
+
+        >>> "1.2.3" in Specifier(">=1.2.3")
+        True
+        >>> Version("1.2.3") in Specifier(">=1.2.3")
+        True
+        >>> "1.0.0" in Specifier(">=1.2.3")
+        False
+        >>> "1.3.0a1" in Specifier(">=1.2.3")
+        True
+        >>> "1.3.0a1" in Specifier(">=1.2.3", prereleases=True)
+        True
+        """
+        return self.contains(item)
+
+    def contains(self, item: UnparsedVersion, prereleases: bool | None = None) -> bool:
+        """Return whether or not the item is contained in this specifier.
+
+        :param item:
+            The item to check for, which can be a version string or a
+            :class:`Version` instance.
+        :param prereleases:
+            Whether or not to match prereleases with this Specifier. If set to
+            ``None`` (the default), it will follow the recommendation from
+            :pep:`440` and match prereleases, as there are no other versions.
+
+        >>> Specifier(">=1.2.3").contains("1.2.3")
+        True
+        >>> Specifier(">=1.2.3").contains(Version("1.2.3"))
+        True
+        >>> Specifier(">=1.2.3").contains("1.0.0")
+        False
+        >>> Specifier(">=1.2.3").contains("1.3.0a1")
+        True
+        >>> Specifier(">=1.2.3", prereleases=False).contains("1.3.0a1")
+        False
+        >>> Specifier(">=1.2.3").contains("1.3.0a1")
+        True
+        """
+
+        return bool(list(self.filter([item], prereleases=prereleases)))
+
+    @typing.overload
+    def filter(
+        self,
+        iterable: Iterable[UnparsedVersionVar],
+        prereleases: bool | None = None,
+        key: None = ...,
+    ) -> Iterator[UnparsedVersionVar]: ...
+
+    @typing.overload
+    def filter(
+        self,
+        iterable: Iterable[T],
+        prereleases: bool | None = None,
+        key: Callable[[T], UnparsedVersion] = ...,
+    ) -> Iterator[T]: ...
+
+    def filter(
+        self,
+        iterable: Iterable[Any],
+        prereleases: bool | None = None,
+        key: Callable[[Any], UnparsedVersion] | None = None,
+    ) -> Iterator[Any]:
+        """Filter items in the given iterable, that match the specifier.
+
+        :param iterable:
+            An iterable that can contain version strings and :class:`Version` instances.
+            The items in the iterable will be filtered according to the specifier.
+        :param prereleases:
+            Whether or not to allow prereleases in the returned iterator. If set to
+            ``None`` (the default), it will follow the recommendation from :pep:`440`
+            and match prereleases if there are no other versions.
+        :param key:
+            A callable that takes a single argument (an item from the iterable) and
+            returns a version string or :class:`Version` instance to be used for
+            filtering.
+
+        >>> list(Specifier(">=1.2.3").filter(["1.2", "1.3", "1.5a1"]))
+        ['1.3']
+        >>> list(Specifier(">=1.2.3").filter(["1.2", "1.2.3", "1.3", Version("1.4")]))
+        ['1.2.3', '1.3', ]
+        >>> list(Specifier(">=1.2.3").filter(["1.2", "1.5a1"]))
+        ['1.5a1']
+        >>> list(Specifier(">=1.2.3").filter(["1.3", "1.5a1"], prereleases=True))
+        ['1.3', '1.5a1']
+        >>> list(Specifier(">=1.2.3", prereleases=True).filter(["1.3", "1.5a1"]))
+        ['1.3', '1.5a1']
+        >>> list(Specifier(">=1.2.3").filter(
+        ... [{"ver": "1.2"}, {"ver": "1.3"}],
+        ... key=lambda x: x["ver"]))
+        [{'ver': '1.3'}]
+        """
+        prereleases_versions = []
+        found_non_prereleases = False
+
+        # Determine if to include prereleases by default
+        include_prereleases = (
+            prereleases if prereleases is not None else self.prereleases
+        )
+
+        # Get the matching operator
+        operator_callable = self._get_operator(self.operator)
+
+        # Filter versions
+        for version in iterable:
+            parsed_version = _coerce_version(version if key is None else key(version))
+            match = False
+            if parsed_version is None:
+                # === operator can match arbitrary (non-version) strings
+                if self.operator == "===" and self._compare_arbitrary(
+                    version, self.version
+                ):
+                    yield version
+            elif self.operator == "===":
+                match = self._compare_arbitrary(
+                    version if key is None else key(version), self.version
+                )
+            else:
+                match = operator_callable(parsed_version, self.version)
+
+            if match and parsed_version is not None:
+                # If it's not a prerelease or prereleases are allowed, yield it directly
+                if not parsed_version.is_prerelease or include_prereleases:
+                    found_non_prereleases = True
+                    yield version
+                # Otherwise collect prereleases for potential later use
+                elif prereleases is None and self._prereleases is not False:
+                    prereleases_versions.append(version)
+
+        # If no non-prereleases were found and prereleases weren't
+        # explicitly forbidden, yield the collected prereleases
+        if (
+            not found_non_prereleases
+            and prereleases is None
+            and self._prereleases is not False
+        ):
+            yield from prereleases_versions
+
+
+_prefix_regex = re.compile(r"([0-9]+)((?:a|b|c|rc)[0-9]+)")
+
+
+def _pep440_filter_prereleases(
+    iterable: Iterable[Any], key: Callable[[Any], UnparsedVersion] | None
+) -> Iterator[Any]:
+    """Filter per PEP 440: exclude prereleases unless no finals exist."""
+    # Two lists used:
+    #   * all_nonfinal to preserve order if no finals exist
+    #   * arbitrary_strings for streaming when first final found
+    all_nonfinal: list[Any] = []
+    arbitrary_strings: list[Any] = []
+
+    found_final = False
+    for item in iterable:
+        parsed = _coerce_version(item if key is None else key(item))
+
+        if parsed is None:
+            # Arbitrary strings are always included as it is not
+            # possible to determine if they are prereleases,
+            # and they have already passed all specifiers.
+            if found_final:
+                yield item
+            else:
+                arbitrary_strings.append(item)
+                all_nonfinal.append(item)
+            continue
+
+        if not parsed.is_prerelease:
+            # Final release found - flush arbitrary strings, then yield
+            if not found_final:
+                yield from arbitrary_strings
+                found_final = True
+            yield item
+            continue
+
+        # Prerelease - buffer if no finals yet, otherwise skip
+        if not found_final:
+            all_nonfinal.append(item)
+
+    # No finals found - yield all buffered items
+    if not found_final:
+        yield from all_nonfinal
+
+
+def _version_split(version: str) -> list[str]:
+    """Split version into components.
+
+    The split components are intended for version comparison. The logic does
+    not attempt to retain the original version string, so joining the
+    components back with :func:`_version_join` may not produce the original
+    version string.
+    """
+    result: list[str] = []
+
+    epoch, _, rest = version.rpartition("!")
+    result.append(epoch or "0")
+
+    for item in rest.split("."):
+        match = _prefix_regex.fullmatch(item)
+        if match:
+            result.extend(match.groups())
+        else:
+            result.append(item)
+    return result
+
+
+def _version_join(components: list[str]) -> str:
+    """Join split version components into a version string.
+
+    This function assumes the input came from :func:`_version_split`, where the
+    first component must be the epoch (either empty or numeric), and all other
+    components numeric.
+    """
+    epoch, *rest = components
+    return f"{epoch}!{'.'.join(rest)}"
+
+
+def _is_not_suffix(segment: str) -> bool:
+    return not any(
+        segment.startswith(prefix) for prefix in ("dev", "a", "b", "rc", "post")
+    )
+
+
+def _numeric_prefix_len(split: list[str]) -> int:
+    """Count leading numeric components in a :func:`_version_split` result.
+
+    >>> _numeric_prefix_len(["0", "1", "2", "a1"])
+    3
+    """
+    count = 0
+    for segment in split:
+        if not segment.isdigit():
+            break
+        count += 1
+    return count
+
+
+def _left_pad(split: list[str], target_numeric_len: int) -> list[str]:
+    """Pad a :func:`_version_split` result with ``"0"`` segments to reach
+    ``target_numeric_len`` numeric components.  Suffix segments are preserved.
+
+    >>> _left_pad(["0", "1", "a1"], 4)
+    ['0', '1', '0', '0', 'a1']
+    """
+    numeric_len = _numeric_prefix_len(split)
+    pad_needed = target_numeric_len - numeric_len
+    if pad_needed <= 0:
+        return split
+    return [*split[:numeric_len], *(["0"] * pad_needed), *split[numeric_len:]]
+
+
+def _operator_cost(op_entry: tuple[CallableOperator, str, str]) -> int:
+    """Sort key for Cost Based Ordering of specifier operators in _filter_versions.
+
+    Operators run sequentially on a shrinking candidate set, so operators that
+    reject the most versions should run first to minimize work for later ones.
+
+    Tier 0: Exact equality (==, ===), likely to narrow candidates to one version
+    Tier 1: Range checks (>=, <=, >, <), cheap and usually reject a large portion
+    Tier 2: Wildcard equality (==.*) and compatible release (~=), more expensive
+    Tier 3: Exact !=, cheap but rarely rejects
+    Tier 4: Wildcard !=.*, expensive and rarely rejects
+    """
+    _, ver, op = op_entry
+    if op == "==":
+        return 0 if not ver.endswith(".*") else 2
+    if op in (">=", "<=", ">", "<"):
+        return 1
+    if op == "~=":
+        return 2
+    if op == "!=":
+        return 3 if not ver.endswith(".*") else 4
+    if op == "===":
+        return 0
+
+    raise ValueError(f"Unknown operator: {op!r}")  # pragma: no cover
+
+
+class SpecifierSet(BaseSpecifier):
+    """This class abstracts handling of a set of version specifiers.
+
+    It can be passed a single specifier (``>=3.0``), a comma-separated list of
+    specifiers (``>=3.0,!=3.1``), or no specifier at all.
+
+    Instances are safe to serialize with :mod:`pickle`. They use a stable
+    format so the same pickle can be loaded in future packaging
+    releases.
+
+    .. versionchanged:: 26.2
+
+        Added a stable pickle format. Pickles created with
+        packaging 26.2+ can be unpickled with future releases.
+        Backward compatibility with pickles from
+        packaging < 26.2 is supported but may be removed in a future
+        release.
+    """
+
+    __slots__ = (
+        "_canonicalized",
+        "_has_arbitrary",
+        "_is_unsatisfiable",
+        "_prereleases",
+        "_resolved_ops",
+        "_specs",
+    )
+
+    def __init__(
+        self,
+        specifiers: str | Iterable[Specifier] = "",
+        prereleases: bool | None = None,
+    ) -> None:
+        """Initialize a SpecifierSet instance.
+
+        :param specifiers:
+            The string representation of a specifier or a comma-separated list of
+            specifiers which will be parsed and normalized before use.
+            May also be an iterable of ``Specifier`` instances, which will be used
+            as is.
+        :param prereleases:
+            This tells the SpecifierSet if it should accept prerelease versions if
+            applicable or not. The default of ``None`` will autodetect it from the
+            given specifiers.
+
+        :raises InvalidSpecifier:
+            If the given ``specifiers`` are not parseable than this exception will be
+            raised.
+        """
+
+        if isinstance(specifiers, str):
+            # Split on `,` to break each individual specifier into its own item, and
+            # strip each item to remove leading/trailing whitespace.
+            split_specifiers = [s.strip() for s in specifiers.split(",") if s.strip()]
+
+            self._specs: tuple[Specifier, ...] = tuple(map(Specifier, split_specifiers))
+            # Fast substring check; avoids iterating parsed specs.
+            self._has_arbitrary = "===" in specifiers
+        else:
+            self._specs = tuple(specifiers)
+            # Substring check works for both Specifier objects and plain
+            # strings (setuptools passes lists of strings).
+            self._has_arbitrary = any("===" in str(s) for s in self._specs)
+
+        self._canonicalized = len(self._specs) <= 1
+        self._resolved_ops: list[tuple[CallableOperator, str, str]] | None = None
+
+        # Store our prereleases value so we can use it later to determine if
+        # we accept prereleases or not.
+        self._prereleases = prereleases
+
+        self._is_unsatisfiable: bool | None = None
+
+    def _canonical_specs(self) -> tuple[Specifier, ...]:
+        """Deduplicate, sort, and cache specs for order-sensitive operations."""
+        if not self._canonicalized:
+            self._specs = tuple(dict.fromkeys(sorted(self._specs, key=str)))
+            self._canonicalized = True
+            self._resolved_ops = None
+            self._is_unsatisfiable = None
+        return self._specs
+
+    @property
+    def prereleases(self) -> bool | None:
+        # If we have been given an explicit prerelease modifier, then we'll
+        # pass that through here.
+        if self._prereleases is not None:
+            return self._prereleases
+
+        # If we don't have any specifiers, and we don't have a forced value,
+        # then we'll just return None since we don't know if this should have
+        # pre-releases or not.
+        if not self._specs:
+            return None
+
+        # Otherwise we'll see if any of the given specifiers accept
+        # prereleases, if any of them do we'll return True, otherwise False.
+        if any(s.prereleases for s in self._specs):
+            return True
+
+        return None
+
+    @prereleases.setter
+    def prereleases(self, value: bool | None) -> None:
+        self._prereleases = value
+        self._is_unsatisfiable = None
+
+    def __getstate__(self) -> tuple[tuple[Specifier, ...], bool | None]:
+        # Return state as a 2-item tuple for compactness:
+        #   (specs, prereleases)
+        # Cache members are excluded and will be recomputed on demand.
+        return (self._specs, self._prereleases)
+
+    def __setstate__(self, state: object) -> None:
+        # Always discard cached values - they will be recomputed on demand.
+        self._resolved_ops = None
+        self._is_unsatisfiable = None
+
+        if isinstance(state, tuple):
+            if len(state) == 2:
+                # New format (26.2+): (specs, prereleases)
+                specs, prereleases = state
+                if (
+                    isinstance(specs, tuple)
+                    and all(isinstance(s, Specifier) for s in specs)
+                    and _validate_pre(prereleases)
+                ):
+                    self._specs = specs
+                    self._prereleases = prereleases
+                    self._canonicalized = len(specs) <= 1
+                    self._has_arbitrary = any("===" in str(s) for s in specs)
+                    return
+            if len(state) == 2 and isinstance(state[1], dict):
+                # Format (packaging 26.0-26.1): (None, {slot: value}).
+                _, slot_dict = state
+                specs = slot_dict.get("_specs", ())
+                prereleases = slot_dict.get("_prereleases")
+                # Convert frozenset to tuple (26.0 stored as frozenset)
+                if isinstance(specs, frozenset):
+                    specs = tuple(sorted(specs, key=str))
+                if (
+                    isinstance(specs, tuple)
+                    and all(isinstance(s, Specifier) for s in specs)
+                    and _validate_pre(prereleases)
+                ):
+                    self._specs = specs
+                    self._prereleases = prereleases
+                    self._canonicalized = len(self._specs) <= 1
+                    self._has_arbitrary = any("===" in str(s) for s in self._specs)
+                    return
+        if isinstance(state, dict):
+            # Old format (packaging <= 25.x, no __slots__): state is a plain dict.
+            specs = state.get("_specs", ())
+            prereleases = state.get("_prereleases")
+            # Convert frozenset to tuple (26.0 stored as frozenset)
+            if isinstance(specs, frozenset):
+                specs = tuple(sorted(specs, key=str))
+            if (
+                isinstance(specs, tuple)
+                and all(isinstance(s, Specifier) for s in specs)
+                and _validate_pre(prereleases)
+            ):
+                self._specs = specs
+                self._prereleases = prereleases
+                self._canonicalized = len(self._specs) <= 1
+                self._has_arbitrary = any("===" in str(s) for s in self._specs)
+                return
+
+        raise TypeError(f"Cannot restore SpecifierSet from {state!r}")
+
+    def __repr__(self) -> str:
+        """A representation of the specifier set that shows all internal state.
+
+        Note that the ordering of the individual specifiers within the set may not
+        match the input string.
+
+        >>> SpecifierSet('>=1.0.0,!=2.0.0')
+        =1.0.0')>
+        >>> SpecifierSet('>=1.0.0,!=2.0.0', prereleases=False)
+        =1.0.0', prereleases=False)>
+        >>> SpecifierSet('>=1.0.0,!=2.0.0', prereleases=True)
+        =1.0.0', prereleases=True)>
+        """
+        pre = (
+            f", prereleases={self.prereleases!r}"
+            if self._prereleases is not None
+            else ""
+        )
+
+        return f"<{self.__class__.__name__}({str(self)!r}{pre})>"
+
+    def __str__(self) -> str:
+        """A string representation of the specifier set that can be round-tripped.
+
+        Note that the ordering of the individual specifiers within the set may not
+        match the input string.
+
+        >>> str(SpecifierSet(">=1.0.0,!=1.0.1"))
+        '!=1.0.1,>=1.0.0'
+        >>> str(SpecifierSet(">=1.0.0,!=1.0.1", prereleases=False))
+        '!=1.0.1,>=1.0.0'
+        """
+        return ",".join(str(s) for s in self._canonical_specs())
+
+    def __hash__(self) -> int:
+        return hash(self._canonical_specs())
+
+    def __and__(self, other: SpecifierSet | str) -> SpecifierSet:
+        """Return a SpecifierSet which is a combination of the two sets.
+
+        :param other: The other object to combine with.
+
+        >>> SpecifierSet(">=1.0.0,!=1.0.1") & '<=2.0.0,!=2.0.1'
+        =1.0.0')>
+        >>> SpecifierSet(">=1.0.0,!=1.0.1") & SpecifierSet('<=2.0.0,!=2.0.1')
+        =1.0.0')>
+        """
+        if isinstance(other, str):
+            other = SpecifierSet(other)
+        elif not isinstance(other, SpecifierSet):
+            return NotImplemented
+
+        specifier = SpecifierSet()
+        specifier._specs = self._specs + other._specs
+        specifier._canonicalized = len(specifier._specs) <= 1
+        specifier._has_arbitrary = self._has_arbitrary or other._has_arbitrary
+        specifier._resolved_ops = None
+
+        # Combine prerelease settings: use common or non-None value
+        if self._prereleases is None or self._prereleases == other._prereleases:
+            specifier._prereleases = other._prereleases
+        elif other._prereleases is None:
+            specifier._prereleases = self._prereleases
+        else:
+            raise ValueError(
+                "Cannot combine SpecifierSets with True and False prerelease overrides."
+            )
+
+        return specifier
+
+    def __eq__(self, other: object) -> bool:
+        """Whether or not the two SpecifierSet-like objects are equal.
+
+        :param other: The other object to check against.
+
+        The value of :attr:`prereleases` is ignored.
+
+        >>> SpecifierSet(">=1.0.0,!=1.0.1") == SpecifierSet(">=1.0.0,!=1.0.1")
+        True
+        >>> (SpecifierSet(">=1.0.0,!=1.0.1", prereleases=False) ==
+        ...  SpecifierSet(">=1.0.0,!=1.0.1", prereleases=True))
+        True
+        >>> SpecifierSet(">=1.0.0,!=1.0.1") == ">=1.0.0,!=1.0.1"
+        True
+        >>> SpecifierSet(">=1.0.0,!=1.0.1") == SpecifierSet(">=1.0.0")
+        False
+        >>> SpecifierSet(">=1.0.0,!=1.0.1") == SpecifierSet(">=1.0.0,!=1.0.2")
+        False
+        """
+        if isinstance(other, (str, Specifier)):
+            other = SpecifierSet(str(other))
+        elif not isinstance(other, SpecifierSet):
+            return NotImplemented
+
+        return self._canonical_specs() == other._canonical_specs()
+
+    def __len__(self) -> int:
+        """Returns the number of specifiers in this specifier set."""
+        return len(self._specs)
+
+    def __iter__(self) -> Iterator[Specifier]:
+        """
+        Returns an iterator over all the underlying :class:`Specifier` instances
+        in this specifier set.
+
+        >>> sorted(SpecifierSet(">=1.0.0,!=1.0.1"), key=str)
+        [, =1.0.0')>]
+        """
+        return iter(self._specs)
+
+    def _get_ranges(self) -> Sequence[_VersionRange]:
+        """Intersect all specifiers into a single list of version ranges.
+
+        Returns an empty list when unsatisfiable.  ``===`` specs are
+        modeled as full range; string matching is checked separately
+        by :meth:`_check_arbitrary_unsatisfiable`.
+        """
+        specs = self._specs
+
+        result: Sequence[_VersionRange] | None = None
+        for s in specs:
+            if result is None:
+                result = s._to_ranges()
+            else:
+                result = _intersect_ranges(result, s._to_ranges())
+                if not result:
+                    break
+
+        if result is None:  # pragma: no cover
+            raise RuntimeError("_get_ranges called with no specs")
+        return result
+
+    def is_unsatisfiable(self) -> bool:
+        """Check whether this specifier set can never be satisfied.
+
+        Returns True if no version can satisfy all specifiers simultaneously.
+
+        >>> SpecifierSet(">=2.0,<1.0").is_unsatisfiable()
+        True
+        >>> SpecifierSet(">=1.0,<2.0").is_unsatisfiable()
+        False
+        >>> SpecifierSet("").is_unsatisfiable()
+        False
+        >>> SpecifierSet("==1.0,!=1.0").is_unsatisfiable()
+        True
+        """
+        cached = self._is_unsatisfiable
+        if cached is not None:
+            return cached
+
+        if not self._specs:
+            self._is_unsatisfiable = False
+            return False
+
+        result = not self._get_ranges()
+
+        if not result:
+            result = self._check_arbitrary_unsatisfiable()
+
+        if not result and self.prereleases is False:
+            result = self._check_prerelease_only_ranges()
+
+        self._is_unsatisfiable = result
+        return result
+
+    def _check_prerelease_only_ranges(self) -> bool:
+        """With prereleases=False, check if every range contains only
+        pre-release versions (which would be excluded from matching)."""
+        for lower, upper in self._get_ranges():
+            nearest = _nearest_non_prerelease(lower.version)
+            if nearest is None:
+                return False
+            if upper.version is None or nearest < upper.version:
+                return False
+            if nearest == upper.version and upper.inclusive:
+                return False
+        return True
+
+    def _check_arbitrary_unsatisfiable(self) -> bool:
+        """Check === (arbitrary equality) specs for unsatisfiability.
+
+        === uses case-insensitive string comparison, so the only candidate
+        that can match ``===V`` is the literal string V.  This method
+        checks whether that candidate is excluded by other specifiers.
+        """
+        arbitrary = [s for s in self._specs if s.operator == "==="]
+        if not arbitrary:
+            return False
+
+        # Multiple === must agree on the same string (case-insensitive).
+        first = arbitrary[0].version.lower()
+        if any(s.version.lower() != first for s in arbitrary[1:]):
+            return True
+
+        # The sole candidate is the === version string.  Check whether
+        # it can satisfy every standard spec.
+        candidate = _coerce_version(arbitrary[0].version)
+
+        # With prereleases=False, a prerelease candidate is excluded
+        # by contains() before the === string check even runs.
+        if (
+            self.prereleases is False
+            and candidate is not None
+            and candidate.is_prerelease
+        ):
+            return True
+
+        standard = [s for s in self._specs if s.operator != "==="]
+        if not standard:
+            return False
+
+        if candidate is None:
+            # Unparsable string cannot satisfy any standard spec.
+            return True
+
+        return not all(s.contains(candidate) for s in standard)
+
+    def __contains__(self, item: UnparsedVersion) -> bool:
+        """Return whether or not the item is contained in this specifier.
+
+        :param item: The item to check for.
+
+        This is used for the ``in`` operator and behaves the same as
+        :meth:`contains` with no ``prereleases`` argument passed.
+
+        >>> "1.2.3" in SpecifierSet(">=1.0.0,!=1.0.1")
+        True
+        >>> Version("1.2.3") in SpecifierSet(">=1.0.0,!=1.0.1")
+        True
+        >>> "1.0.1" in SpecifierSet(">=1.0.0,!=1.0.1")
+        False
+        >>> "1.3.0a1" in SpecifierSet(">=1.0.0,!=1.0.1")
+        True
+        >>> "1.3.0a1" in SpecifierSet(">=1.0.0,!=1.0.1", prereleases=True)
+        True
+        """
+        return self.contains(item)
+
+    def contains(
+        self,
+        item: UnparsedVersion,
+        prereleases: bool | None = None,
+        installed: bool | None = None,
+    ) -> bool:
+        """Return whether or not the item is contained in this SpecifierSet.
+
+        :param item:
+            The item to check for, which can be a version string or a
+            :class:`Version` instance.
+        :param prereleases:
+            Whether or not to match prereleases with this SpecifierSet. If set to
+            ``None`` (the default), it will follow the recommendation from :pep:`440`
+            and match prereleases, as there are no other versions.
+        :param installed:
+            Whether or not the item is installed. If set to ``True``, it will
+            accept prerelease versions even if the specifier does not allow them.
+
+        >>> SpecifierSet(">=1.0.0,!=1.0.1").contains("1.2.3")
+        True
+        >>> SpecifierSet(">=1.0.0,!=1.0.1").contains(Version("1.2.3"))
+        True
+        >>> SpecifierSet(">=1.0.0,!=1.0.1").contains("1.0.1")
+        False
+        >>> SpecifierSet(">=1.0.0,!=1.0.1").contains("1.3.0a1")
+        True
+        >>> SpecifierSet(">=1.0.0,!=1.0.1", prereleases=False).contains("1.3.0a1")
+        False
+        >>> SpecifierSet(">=1.0.0,!=1.0.1").contains("1.3.0a1", prereleases=True)
+        True
+        """
+        version = _coerce_version(item)
+
+        if version is not None and installed and version.is_prerelease:
+            prereleases = True
+
+        # When item is a string and === is involved, keep it as-is
+        # so the comparison isn't done against the normalized form.
+        if version is None or (self._has_arbitrary and not isinstance(item, Version)):
+            check_item = item
+        else:
+            check_item = version
+        return bool(list(self.filter([check_item], prereleases=prereleases)))
+
+    @typing.overload
+    def filter(
+        self,
+        iterable: Iterable[UnparsedVersionVar],
+        prereleases: bool | None = None,
+        key: None = ...,
+    ) -> Iterator[UnparsedVersionVar]: ...
+
+    @typing.overload
+    def filter(
+        self,
+        iterable: Iterable[T],
+        prereleases: bool | None = None,
+        key: Callable[[T], UnparsedVersion] = ...,
+    ) -> Iterator[T]: ...
+
+    def filter(
+        self,
+        iterable: Iterable[Any],
+        prereleases: bool | None = None,
+        key: Callable[[Any], UnparsedVersion] | None = None,
+    ) -> Iterator[Any]:
+        """Filter items in the given iterable, that match the specifiers in this set.
+
+        :param iterable:
+            An iterable that can contain version strings and :class:`Version` instances.
+            The items in the iterable will be filtered according to the specifier.
+        :param prereleases:
+            Whether or not to allow prereleases in the returned iterator. If set to
+            ``None`` (the default), it will follow the recommendation from :pep:`440`
+            and match prereleases if there are no other versions.
+        :param key:
+            A callable that takes a single argument (an item from the iterable) and
+            returns a version string or :class:`Version` instance to be used for
+            filtering.
+
+        >>> list(SpecifierSet(">=1.2.3").filter(["1.2", "1.3", "1.5a1"]))
+        ['1.3']
+        >>> list(SpecifierSet(">=1.2.3").filter(["1.2", "1.3", Version("1.4")]))
+        ['1.3', ]
+        >>> list(SpecifierSet(">=1.2.3").filter(["1.2", "1.5a1"]))
+        ['1.5a1']
+        >>> list(SpecifierSet(">=1.2.3").filter(["1.3", "1.5a1"], prereleases=True))
+        ['1.3', '1.5a1']
+        >>> list(SpecifierSet(">=1.2.3", prereleases=True).filter(["1.3", "1.5a1"]))
+        ['1.3', '1.5a1']
+        >>> list(SpecifierSet(">=1.2.3").filter(
+        ... [{"ver": "1.2"}, {"ver": "1.3"}],
+        ... key=lambda x: x["ver"]))
+        [{'ver': '1.3'}]
+
+        An "empty" SpecifierSet will filter items based on the presence of prerelease
+        versions in the set.
+
+        >>> list(SpecifierSet("").filter(["1.3", "1.5a1"]))
+        ['1.3']
+        >>> list(SpecifierSet("").filter(["1.5a1"]))
+        ['1.5a1']
+        >>> list(SpecifierSet("", prereleases=True).filter(["1.3", "1.5a1"]))
+        ['1.3', '1.5a1']
+        >>> list(SpecifierSet("").filter(["1.3", "1.5a1"], prereleases=True))
+        ['1.3', '1.5a1']
+        """
+        # Determine if we're forcing a prerelease or not, if we're not forcing
+        # one for this particular filter call, then we'll use whatever the
+        # SpecifierSet thinks for whether or not we should support prereleases.
+        if prereleases is None and self.prereleases is not None:
+            prereleases = self.prereleases
+
+        # Filter versions that match all specifiers using Cost Based Ordering.
+        if self._specs:
+            # When prereleases is None, we need to let all versions through
+            # the individual filters, then decide about prereleases at the end
+            # based on whether any non-prereleases matched ALL specs.
+
+            # Fast path: single specifier, delegate directly.
+            if len(self._specs) == 1:
+                filtered = self._specs[0].filter(
+                    iterable,
+                    prereleases=True if prereleases is None else prereleases,
+                    key=key,
+                )
+            else:
+                filtered = self._filter_versions(
+                    iterable,
+                    key,
+                    prereleases=True if prereleases is None else prereleases,
+                )
+
+            if prereleases is not None:
+                return filtered
+
+            return _pep440_filter_prereleases(filtered, key)
+
+        # Handle Empty SpecifierSet.
+        if prereleases is True:
+            return iter(iterable)
+
+        if prereleases is False:
+            return (
+                item
+                for item in iterable
+                if (
+                    (version := _coerce_version(item if key is None else key(item)))
+                    is None
+                    or not version.is_prerelease
+                )
+            )
+
+        # PEP 440: exclude prereleases unless no final releases matched
+        return _pep440_filter_prereleases(iterable, key)
+
+    def _filter_versions(
+        self,
+        iterable: Iterable[Any],
+        key: Callable[[Any], UnparsedVersion] | None,
+        prereleases: bool | None = None,
+    ) -> Iterator[Any]:
+        """Filter versions against all specifiers in a single pass.
+
+        Uses Cost Based Ordering: specifiers are sorted by _operator_cost so
+        that cheap range operators reject versions early, avoiding expensive
+        wildcard or compatible operators on versions that would have been
+        rejected anyway.
+        """
+        # Pre-resolve operators and sort (cached after first call).
+        if self._resolved_ops is None:
+            self._resolved_ops = sorted(
+                (
+                    (spec._get_operator(spec.operator), spec.version, spec.operator)
+                    for spec in self._specs
+                ),
+                key=_operator_cost,
+            )
+        ops = self._resolved_ops
+        exclude_prereleases = prereleases is False
+
+        for item in iterable:
+            parsed = _coerce_version(item if key is None else key(item))
+
+            if parsed is None:
+                # Only === can match non-parseable versions.
+                if all(
+                    op == "===" and str(item).lower() == ver.lower()
+                    for _, ver, op in ops
+                ):
+                    yield item
+            elif exclude_prereleases and parsed.is_prerelease:
+                pass
+            elif all(
+                str(item if key is None else key(item)).lower() == ver.lower()
+                if op == "==="
+                else op_fn(parsed, ver)
+                for op_fn, ver, op in ops
+            ):
+                # Short-circuits on the first failing operator.
+                yield item
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/tags.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/tags.py
new file mode 100644
index 0000000000000000000000000000000000000000..979fbd2eedf33c63759d970013b29cd441eaf85f
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/tags.py
@@ -0,0 +1,932 @@
+# This file is dual licensed under the terms of the Apache License, Version
+# 2.0, and the BSD License. See the LICENSE file in the root of this repository
+# for complete details.
+
+from __future__ import annotations
+
+import logging
+import operator
+import platform
+import re
+import struct
+import subprocess
+import sys
+import sysconfig
+from importlib.machinery import EXTENSION_SUFFIXES
+from typing import (
+    TYPE_CHECKING,
+    Iterable,
+    Iterator,
+    Sequence,
+    Tuple,
+    TypeVar,
+    cast,
+)
+
+from . import _manylinux, _musllinux
+
+if TYPE_CHECKING:
+    from collections.abc import Callable, Iterable
+    from typing import AbstractSet
+
+
+__all__ = [
+    "INTERPRETER_SHORT_NAMES",
+    "AppleVersion",
+    "PythonVersion",
+    "Tag",
+    "UnsortedTagsError",
+    "android_platforms",
+    "compatible_tags",
+    "cpython_tags",
+    "create_compatible_tags_selector",
+    "generic_tags",
+    "interpreter_name",
+    "interpreter_version",
+    "ios_platforms",
+    "mac_platforms",
+    "parse_tag",
+    "platform_tags",
+    "sys_tags",
+]
+
+
+def __dir__() -> list[str]:
+    return __all__
+
+
+logger = logging.getLogger(__name__)
+
+PythonVersion = Sequence[int]
+AppleVersion = Tuple[int, int]
+_T = TypeVar("_T")
+
+INTERPRETER_SHORT_NAMES: dict[str, str] = {
+    "python": "py",  # Generic.
+    "cpython": "cp",
+    "pypy": "pp",
+    "ironpython": "ip",
+    "jython": "jy",
+}
+
+
+# This function can be unit tested without reloading the module
+# (Unlike _32_BIT_INTERPRETER)
+def _compute_32_bit_interpreter() -> bool:
+    return struct.calcsize("P") == 4
+
+
+_32_BIT_INTERPRETER = _compute_32_bit_interpreter()
+
+
+class UnsortedTagsError(ValueError):
+    """
+    Raised when a tag component is not in sorted order per PEP 425.
+    """
+
+
+class Tag:
+    """
+    A representation of the tag triple for a wheel.
+
+    Instances are considered immutable and thus are hashable. Equality checking
+    is also supported.
+
+    Instances are safe to serialize with :mod:`pickle`. They use a stable
+    format so the same pickle can be loaded in future packaging releases.
+
+    .. versionchanged:: 26.2
+
+        Added a stable pickle format. Pickles created with packaging 26.2+ can
+        be unpickled with future releases.  Backward compatibility with pickles
+        from pip._vendor.packaging < 26.2 is supported but may be removed in a future
+        release.
+    """
+
+    __slots__ = ["_abi", "_hash", "_interpreter", "_platform"]
+
+    def __init__(self, interpreter: str, abi: str, platform: str) -> None:
+        """
+        :param str interpreter: The interpreter name, e.g. ``"py"``
+                                (see :attr:`INTERPRETER_SHORT_NAMES` for mapping
+                                well-known interpreter names to their short names).
+        :param str abi: The ABI that a wheel supports, e.g. ``"cp37m"``.
+        :param str platform: The OS/platform the wheel supports,
+                            e.g. ``"win_amd64"``.
+        """
+        self._interpreter = interpreter.lower()
+        self._abi = abi.lower()
+        self._platform = platform.lower()
+        # The __hash__ of every single element in a Set[Tag] will be evaluated each time
+        # that a set calls its `.disjoint()` method, which may be called hundreds of
+        # times when scanning a page of links for packages with tags matching that
+        # Set[Tag]. Pre-computing the value here produces significant speedups for
+        # downstream consumers.
+        self._hash = hash((self._interpreter, self._abi, self._platform))
+
+    @property
+    def interpreter(self) -> str:
+        """
+        The interpreter name, e.g. ``"py"`` (see
+        :attr:`INTERPRETER_SHORT_NAMES` for mapping well-known interpreter
+        names to their short names).
+        """
+        return self._interpreter
+
+    @property
+    def abi(self) -> str:
+        """
+        The supported ABI.
+        """
+        return self._abi
+
+    @property
+    def platform(self) -> str:
+        """
+        The OS/platform.
+        """
+        return self._platform
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, Tag):
+            return NotImplemented
+
+        return (
+            (self._hash == other._hash)  # Short-circuit ASAP for perf reasons.
+            and (self._platform == other._platform)
+            and (self._abi == other._abi)
+            and (self._interpreter == other._interpreter)
+        )
+
+    def __hash__(self) -> int:
+        return self._hash
+
+    def __str__(self) -> str:
+        return f"{self._interpreter}-{self._abi}-{self._platform}"
+
+    def __repr__(self) -> str:
+        return f"<{self} @ {id(self)}>"
+
+    def __getstate__(self) -> tuple[str, str, str]:
+        # Return state as a 3-item tuple: (interpreter, abi, platform).
+        # Cache member _hash is excluded and will be recomputed.
+        return (self._interpreter, self._abi, self._platform)
+
+    def __setstate__(self, state: object) -> None:
+        if isinstance(state, tuple):
+            if len(state) == 3 and all(isinstance(s, str) for s in state):
+                # New format (26.2+): (interpreter, abi, platform)
+                self._interpreter, self._abi, self._platform = state
+                self._hash = hash((self._interpreter, self._abi, self._platform))
+                return
+            if len(state) == 2 and isinstance(state[1], dict):
+                # Old format (packaging <= 26.1, __slots__): (None, {slot: value}).
+                _, slots = state
+                try:
+                    interpreter = slots["_interpreter"]
+                    abi = slots["_abi"]
+                    platform = slots["_platform"]
+                except KeyError:
+                    raise TypeError(f"Cannot restore Tag from {state!r}") from None
+                if not all(
+                    isinstance(value, str) for value in (interpreter, abi, platform)
+                ):
+                    raise TypeError(f"Cannot restore Tag from {state!r}")
+                self._interpreter = interpreter.lower()
+                self._abi = abi.lower()
+                self._platform = platform.lower()
+                self._hash = hash((self._interpreter, self._abi, self._platform))
+                return
+        raise TypeError(f"Cannot restore Tag from {state!r}")
+
+
+def parse_tag(tag: str, *, validate_order: bool = False) -> frozenset[Tag]:
+    """
+    Parses the provided tag (e.g. `py3-none-any`) into a frozenset of
+    :class:`Tag` instances.
+
+    Returning a set is required due to the possibility that the tag is a
+    `compressed tag set`_, e.g. ``"py2.py3-none-any"`` which supports both
+    Python 2 and Python 3.
+
+    If **validate_order** is true, compressed tag set components are checked
+    to be in sorted order as required by PEP 425.
+
+    :param str tag: The tag to parse, e.g. ``"py3-none-any"``.
+    :param bool validate_order: Check whether compressed tag set components
+        are in sorted order.
+    :raises UnsortedTagsError: If **validate_order** is true and any compressed tag
+        set component is not in sorted order.
+
+    .. versionadded:: 26.1
+       The *validate_order* parameter.
+    """
+    tags = set()
+    interpreters, abis, platforms = tag.split("-")
+    if validate_order:
+        for component in (interpreters, abis, platforms):
+            parts = component.split(".")
+            if parts != sorted(parts):
+                raise UnsortedTagsError(
+                    f"Tag component {component!r} is not in sorted order per PEP 425"
+                )
+    for interpreter in interpreters.split("."):
+        for abi in abis.split("."):
+            for platform_ in platforms.split("."):
+                tags.add(Tag(interpreter, abi, platform_))
+    return frozenset(tags)
+
+
+def _get_config_var(name: str, warn: bool = False) -> int | str | None:
+    value: int | str | None = sysconfig.get_config_var(name)
+    if value is None and warn:
+        logger.debug(
+            "Config variable '%s' is unset, Python ABI tag may be incorrect", name
+        )
+    return value
+
+
+def _normalize_string(string: str) -> str:
+    return string.replace(".", "_").replace("-", "_").replace(" ", "_")
+
+
+def _is_threaded_cpython(abis: list[str]) -> bool:
+    """
+    Determine if the ABI corresponds to a threaded (`--disable-gil`) build.
+
+    The threaded builds are indicated by a "t" in the abiflags.
+    """
+    if len(abis) == 0:
+        return False
+    # expect e.g., cp313
+    m = re.match(r"cp\d+(.*)", abis[0])
+    if not m:
+        return False
+    abiflags = m.group(1)
+    return "t" in abiflags
+
+
+def _abi3_applies(python_version: PythonVersion, threading: bool) -> bool:
+    """
+    Determine if the Python version supports abi3.
+
+    PEP 384 was first implemented in Python 3.2. The free-threaded
+    builds do not support abi3.
+    """
+    return len(python_version) > 1 and tuple(python_version) >= (3, 2) and not threading
+
+
+def _abi3t_applies(python_version: PythonVersion, threading: bool) -> bool:
+    """
+    Determine if the Python version supports abi3t.
+
+    PEP 803 was first implemented in Python 3.15 but, per PEP 803, this
+    returns tags going back to Python 3.2 to mirror the abi3
+    implementation and leave open the possibility of abi3t wheels
+    supporting older Python versions.
+
+    """
+    return len(python_version) > 1 and tuple(python_version) >= (3, 2) and threading
+
+
+def _cpython_abis(py_version: PythonVersion, warn: bool = False) -> list[str]:
+    py_version = tuple(py_version)  # To allow for version comparison.
+    abis = []
+    version = _version_nodot(py_version[:2])
+    threading = debug = pymalloc = ucs4 = ""
+    with_debug = _get_config_var("Py_DEBUG", warn)
+    has_refcount = hasattr(sys, "gettotalrefcount")
+    # Windows doesn't set Py_DEBUG, so checking for support of debug-compiled
+    # extension modules is the best option.
+    # https://github.com/pypa/pip/issues/3383#issuecomment-173267692
+    has_ext = "_d.pyd" in EXTENSION_SUFFIXES
+    if with_debug or (with_debug is None and (has_refcount or has_ext)):
+        debug = "d"
+    if py_version >= (3, 13) and _get_config_var("Py_GIL_DISABLED", warn):
+        threading = "t"
+    if py_version < (3, 8):
+        with_pymalloc = _get_config_var("WITH_PYMALLOC", warn)
+        if with_pymalloc or with_pymalloc is None:
+            pymalloc = "m"
+        if py_version < (3, 3):
+            unicode_size = _get_config_var("Py_UNICODE_SIZE", warn)
+            if unicode_size == 4 or (
+                unicode_size is None and sys.maxunicode == 0x10FFFF
+            ):
+                ucs4 = "u"
+    elif debug:
+        # Debug builds can also load "normal" extension modules.
+        # We can also assume no UCS-4 or pymalloc requirement.
+        abis.append(f"cp{version}{threading}")
+    abis.insert(0, f"cp{version}{threading}{debug}{pymalloc}{ucs4}")
+    return abis
+
+
+def cpython_tags(
+    python_version: PythonVersion | None = None,
+    abis: Iterable[str] | None = None,
+    platforms: Iterable[str] | None = None,
+    *,
+    warn: bool = False,
+) -> Iterator[Tag]:
+    """
+    Yields the tags for the CPython interpreter.
+
+    The specific tags generated are:
+
+    - ``cp--``
+    - ``cp--``
+    - ``cp-none-``
+    - ``cp--`` where "older version" is all older
+      minor versions down to Python 3.2 (when ``abi3`` was introduced)
+
+    If ``python_version`` only provides a major-only version then only
+    user-provided ABIs via ``abis`` and the ``none`` ABI will be used.
+
+    The ``stable_abi`` will be either ``abi3`` or ``abi3t`` if `abi` is a
+    GIL-enabled ABI like `"cp315"` or a free-threaded ABI like `"cp315t"`,
+    respectively.
+
+    :param Sequence python_version: A one- or two-item sequence representing the
+                                 targeted Python version. Defaults to
+                                 ``sys.version_info[:2]``.
+    :param Iterable abis: Iterable of compatible ABIs. Defaults to the ABIs
+                          compatible with the current system.
+    :param Iterable platforms: Iterable of compatible platforms. Defaults to the
+                               platforms compatible with the current system.
+    :param bool warn: Whether warnings should be logged. Defaults to ``False``.
+    """
+    if not python_version:
+        python_version = sys.version_info[:2]
+
+    interpreter = f"cp{_version_nodot(python_version[:2])}"
+
+    if abis is None:
+        abis = _cpython_abis(python_version, warn) if len(python_version) > 1 else []
+    abis = list(abis)
+    # 'abi3' and 'none' are explicitly handled later.
+    for explicit_abi in ("abi3", "none"):
+        try:
+            abis.remove(explicit_abi)
+        except ValueError:  # noqa: PERF203
+            pass
+
+    platforms = list(platforms or platform_tags())
+    for abi in abis:
+        for platform_ in platforms:
+            yield Tag(interpreter, abi, platform_)
+
+    threading = _is_threaded_cpython(abis)
+    use_abi3 = _abi3_applies(python_version, threading)
+    use_abi3t = _abi3t_applies(python_version, threading)
+
+    if use_abi3:
+        yield from (Tag(interpreter, "abi3", platform_) for platform_ in platforms)
+    if use_abi3t:
+        yield from (Tag(interpreter, "abi3t", platform_) for platform_ in platforms)
+
+    yield from (Tag(interpreter, "none", platform_) for platform_ in platforms)
+
+    if use_abi3 or use_abi3t:
+        for minor_version in range(python_version[1] - 1, 1, -1):
+            for platform_ in platforms:
+                version = _version_nodot((python_version[0], minor_version))
+                interpreter = f"cp{version}"
+                if use_abi3:
+                    yield Tag(interpreter, "abi3", platform_)
+                if use_abi3t:
+                    # Support for abi3t was introduced in Python 3.15, but in
+                    # principle abi3t wheels are possible for older limited API
+                    # versions, so allow things like ("cp37", "abi3t", "platform")
+                    yield Tag(interpreter, "abi3t", platform_)
+
+
+def _generic_abi() -> list[str]:
+    """
+    Return the ABI tag based on EXT_SUFFIX.
+    """
+    # The following are examples of `EXT_SUFFIX`.
+    # We want to keep the parts which are related to the ABI and remove the
+    # parts which are related to the platform:
+    # - linux:   '.cpython-310-x86_64-linux-gnu.so' => cp310
+    # - mac:     '.cpython-310-darwin.so'           => cp310
+    # - win:     '.cp310-win_amd64.pyd'             => cp310
+    # - win:     '.pyd'                             => cp37 (uses _cpython_abis())
+    # - pypy:    '.pypy38-pp73-x86_64-linux-gnu.so' => pypy38_pp73
+    # - graalpy: '.graalpy-38-native-x86_64-darwin.dylib'
+    #                                               => graalpy_38_native
+
+    ext_suffix = _get_config_var("EXT_SUFFIX", warn=True)
+    if not isinstance(ext_suffix, str) or ext_suffix[0] != ".":
+        raise SystemError("invalid sysconfig.get_config_var('EXT_SUFFIX')")
+    parts = ext_suffix.split(".")
+    if len(parts) < 3:
+        # CPython3.7 and earlier uses ".pyd" on Windows.
+        return _cpython_abis(sys.version_info[:2])
+    soabi = parts[1]
+    if soabi.startswith("cpython"):
+        # non-windows
+        abi = "cp" + soabi.split("-")[1]
+    elif soabi.startswith("cp"):
+        # windows
+        abi = soabi.split("-")[0]
+    elif soabi.startswith("pypy"):
+        abi = "-".join(soabi.split("-")[:2])
+    elif soabi.startswith("graalpy"):
+        abi = "-".join(soabi.split("-")[:3])
+    elif soabi:
+        # pyston, ironpython, others?
+        abi = soabi
+    else:
+        return []
+    return [_normalize_string(abi)]
+
+
+def generic_tags(
+    interpreter: str | None = None,
+    abis: Iterable[str] | None = None,
+    platforms: Iterable[str] | None = None,
+    *,
+    warn: bool = False,
+) -> Iterator[Tag]:
+    """
+    Yields the tags for an interpreter which requires no specialization.
+
+    This function should be used if one of the other interpreter-specific
+    functions provided by this module is not appropriate (i.e. not calculating
+    tags for a CPython interpreter).
+
+    The specific tags generated are:
+
+    - ``--``
+
+    The ``"none"`` ABI will be added if it was not explicitly provided.
+
+    :param str interpreter: The name of the interpreter. Defaults to being
+                            calculated.
+    :param Iterable abis: Iterable of compatible ABIs. Defaults to the ABIs
+                          compatible with the current system.
+    :param Iterable platforms: Iterable of compatible platforms. Defaults to the
+                               platforms compatible with the current system.
+    :param bool warn: Whether warnings should be logged. Defaults to ``False``.
+    """
+    if not interpreter:
+        interp_name = interpreter_name()
+        interp_version = interpreter_version(warn=warn)
+        interpreter = f"{interp_name}{interp_version}"
+    abis = _generic_abi() if abis is None else list(abis)
+    platforms = list(platforms or platform_tags())
+    if "none" not in abis:
+        abis.append("none")
+    for abi in abis:
+        for platform_ in platforms:
+            yield Tag(interpreter, abi, platform_)
+
+
+def _py_interpreter_range(py_version: PythonVersion) -> Iterator[str]:
+    """
+    Yields Python versions in descending order.
+
+    After the latest version, the major-only version will be yielded, and then
+    all previous versions of that major version.
+    """
+    if len(py_version) > 1:
+        yield f"py{_version_nodot(py_version[:2])}"
+    yield f"py{py_version[0]}"
+    if len(py_version) > 1:
+        for minor in range(py_version[1] - 1, -1, -1):
+            yield f"py{_version_nodot((py_version[0], minor))}"
+
+
+def compatible_tags(
+    python_version: PythonVersion | None = None,
+    interpreter: str | None = None,
+    platforms: Iterable[str] | None = None,
+) -> Iterator[Tag]:
+    """
+    Yields the tags for an interpreter compatible with the Python version
+    specified by ``python_version``.
+
+    The specific tags generated are:
+
+    - ``py*-none-``
+    - ``-none-any`` if ``interpreter`` is provided
+    - ``py*-none-any``
+
+    :param Sequence python_version: A one- or two-item sequence representing the
+                                 compatible version of Python. Defaults to
+                                 ``sys.version_info[:2]``.
+    :param str interpreter: The name of the interpreter (if known), e.g.
+                            ``"cp38"``. Defaults to the current interpreter.
+    :param Iterable platforms: Iterable of compatible platforms. Defaults to the
+                               platforms compatible with the current system.
+    """
+    if not python_version:
+        python_version = sys.version_info[:2]
+    platforms = list(platforms or platform_tags())
+    for version in _py_interpreter_range(python_version):
+        for platform_ in platforms:
+            yield Tag(version, "none", platform_)
+    if interpreter:
+        yield Tag(interpreter, "none", "any")
+    for version in _py_interpreter_range(python_version):
+        yield Tag(version, "none", "any")
+
+
+def _mac_arch(arch: str, is_32bit: bool = _32_BIT_INTERPRETER) -> str:
+    if not is_32bit:
+        return arch
+
+    if arch.startswith("ppc"):
+        return "ppc"
+
+    return "i386"
+
+
+def _mac_binary_formats(version: AppleVersion, cpu_arch: str) -> list[str]:
+    formats = [cpu_arch]
+    if cpu_arch == "x86_64":
+        if version < (10, 4):
+            return []
+        formats.extend(["intel", "fat64", "fat32"])
+
+    elif cpu_arch == "i386":
+        if version < (10, 4):
+            return []
+        formats.extend(["intel", "fat32", "fat"])
+
+    elif cpu_arch == "ppc64":
+        # TODO: Need to care about 32-bit PPC for ppc64 through 10.2?
+        if version > (10, 5) or version < (10, 4):
+            return []
+        formats.append("fat64")
+
+    elif cpu_arch == "ppc":
+        if version > (10, 6):
+            return []
+        formats.extend(["fat32", "fat"])
+
+    if cpu_arch in {"arm64", "x86_64"}:
+        formats.append("universal2")
+
+    if cpu_arch in {"x86_64", "i386", "ppc64", "ppc", "intel"}:
+        formats.append("universal")
+
+    return formats
+
+
+def mac_platforms(
+    version: AppleVersion | None = None, arch: str | None = None
+) -> Iterator[str]:
+    """
+    Yields the :attr:`~Tag.platform` tags for macOS.
+
+    The `version` parameter is a two-item tuple specifying the macOS version to
+    generate platform tags for. The `arch` parameter is the CPU architecture to
+    generate platform tags for. Both parameters default to the appropriate value
+    for the current system.
+
+    :param tuple version: A two-item tuple representing the version of macOS.
+                          Defaults to the current system's version.
+    :param str arch: The CPU architecture. Defaults to the architecture of the
+                     current system, e.g. ``"x86_64"``.
+
+    .. note::
+        Equivalent support for the other major platforms is purposefully not
+        provided:
+
+        - On Windows, platform compatibility is statically specified
+        - On Linux, code must be run on the system itself to determine
+          compatibility
+    """
+    version_str, _, cpu_arch = platform.mac_ver()
+    if version is None:
+        version = cast("AppleVersion", tuple(map(int, version_str.split(".")[:2])))
+        if version == (10, 16):
+            # When built against an older macOS SDK, Python will report macOS 10.16
+            # instead of the real version.
+            version_str = subprocess.run(
+                [
+                    sys.executable,
+                    "-sS",
+                    "-c",
+                    "import platform; print(platform.mac_ver()[0])",
+                ],
+                check=True,
+                env={"SYSTEM_VERSION_COMPAT": "0"},
+                stdout=subprocess.PIPE,
+                text=True,
+            ).stdout
+            version = cast("AppleVersion", tuple(map(int, version_str.split(".")[:2])))
+
+    if arch is None:
+        arch = _mac_arch(cpu_arch)
+
+    if (10, 0) <= version < (11, 0):
+        # Prior to Mac OS 11, each yearly release of Mac OS bumped the
+        # "minor" version number.  The major version was always 10.
+        major_version = 10
+        for minor_version in range(version[1], -1, -1):
+            compat_version = major_version, minor_version
+            binary_formats = _mac_binary_formats(compat_version, arch)
+            for binary_format in binary_formats:
+                yield f"macosx_{major_version}_{minor_version}_{binary_format}"
+
+    if version >= (11, 0):
+        # Starting with Mac OS 11, each yearly release bumps the major version
+        # number.   The minor versions are now the midyear updates.
+        minor_version = 0
+        for major_version in range(version[0], 10, -1):
+            compat_version = major_version, minor_version
+            binary_formats = _mac_binary_formats(compat_version, arch)
+            for binary_format in binary_formats:
+                yield f"macosx_{major_version}_{minor_version}_{binary_format}"
+
+    if version >= (11, 0):
+        # Mac OS 11 on x86_64 is compatible with binaries from previous releases.
+        # Arm64 support was introduced in 11.0, so no Arm binaries from previous
+        # releases exist.
+        #
+        # However, the "universal2" binary format can have a
+        # macOS version earlier than 11.0 when the x86_64 part of the binary supports
+        # that version of macOS.
+        major_version = 10
+        if arch == "x86_64":
+            for minor_version in range(16, 3, -1):
+                compat_version = major_version, minor_version
+                binary_formats = _mac_binary_formats(compat_version, arch)
+                for binary_format in binary_formats:
+                    yield f"macosx_{major_version}_{minor_version}_{binary_format}"
+        else:
+            for minor_version in range(16, 3, -1):
+                compat_version = major_version, minor_version
+                binary_format = "universal2"
+                yield f"macosx_{major_version}_{minor_version}_{binary_format}"
+
+
+def ios_platforms(
+    version: AppleVersion | None = None, multiarch: str | None = None
+) -> Iterator[str]:
+    """
+
+    Yields the :attr:`~Tag.platform` tags for iOS.
+
+    :param tuple version: A two-item tuple representing the version of iOS.
+                          Defaults to the current system's version.
+    :param str multiarch: The CPU architecture+ABI to be used. This should be in
+                          the format by ``sys.implementation._multiarch`` (e.g.,
+                          ``arm64_iphoneos`` or ``x86_64_iphonesimulator``).
+                          Defaults to the current system's multiarch value.
+
+    .. note::
+        Behavior of this method is undefined if invoked on non-iOS platforms
+        without providing explicit version and multiarch arguments.
+    """
+    if version is None:
+        # if iOS is the current platform, ios_ver *must* be defined. However,
+        # it won't exist for CPython versions before 3.13, which causes a mypy
+        # error.
+        _, release, _, _ = platform.ios_ver()  # type: ignore[attr-defined, unused-ignore]
+        version = cast("AppleVersion", tuple(map(int, release.split(".")[:2])))
+
+    if multiarch is None:
+        multiarch = sys.implementation._multiarch
+    multiarch = multiarch.replace("-", "_")
+
+    ios_platform_template = "ios_{major}_{minor}_{multiarch}"
+
+    # Consider any iOS major.minor version from the version requested, down to
+    # 12.0. 12.0 is the first iOS version that is known to have enough features
+    # to support CPython. Consider every possible minor release up to X.9. There
+    # highest the minor has ever gone is 8 (14.8 and 15.8) but having some extra
+    # candidates that won't ever match doesn't really hurt, and it saves us from
+    # having to keep an explicit list of known iOS versions in the code. Return
+    # the results descending order of version number.
+
+    # If the requested major version is less than 12, there won't be any matches.
+    if version[0] < 12:
+        return
+
+    # Consider the actual X.Y version that was requested.
+    yield ios_platform_template.format(
+        major=version[0], minor=version[1], multiarch=multiarch
+    )
+
+    # Consider every minor version from X.0 to the minor version prior to the
+    # version requested by the platform.
+    for minor in range(version[1] - 1, -1, -1):
+        yield ios_platform_template.format(
+            major=version[0], minor=minor, multiarch=multiarch
+        )
+
+    for major in range(version[0] - 1, 11, -1):
+        for minor in range(9, -1, -1):
+            yield ios_platform_template.format(
+                major=major, minor=minor, multiarch=multiarch
+            )
+
+
+def android_platforms(
+    api_level: int | None = None, abi: str | None = None
+) -> Iterator[str]:
+    """
+    Yields the :attr:`~Tag.platform` tags for Android. If this function is invoked on
+    non-Android platforms, the ``api_level`` and ``abi`` arguments are required.
+
+    :param int api_level: The maximum `API level
+        `__ to return. Defaults
+        to the current system's version, as returned by ``platform.android_ver``.
+    :param str abi: The `Android ABI `__,
+        e.g. ``arm64_v8a``. Defaults to the current system's ABI , as returned by
+        ``sysconfig.get_platform``. Hyphens and periods will be replaced with
+        underscores.
+    """
+    if platform.system() != "Android" and (api_level is None or abi is None):
+        raise TypeError(
+            "on non-Android platforms, the api_level and abi arguments are required"
+        )
+
+    if api_level is None:
+        # Python 3.13 was the first version to return platform.system() == "Android",
+        # and also the first version to define platform.android_ver().
+        api_level = platform.android_ver().api_level  # type: ignore[attr-defined]
+
+    if abi is None:
+        abi = sysconfig.get_platform().split("-")[-1]
+    abi = _normalize_string(abi)
+
+    # 16 is the minimum API level known to have enough features to support CPython
+    # without major patching. Yield every API level from the maximum down to the
+    # minimum, inclusive.
+    min_api_level = 16
+    for ver in range(api_level, min_api_level - 1, -1):
+        yield f"android_{ver}_{abi}"
+
+
+def _linux_platforms(is_32bit: bool = _32_BIT_INTERPRETER) -> Iterator[str]:
+    linux = _normalize_string(sysconfig.get_platform())
+    if not linux.startswith("linux_"):
+        # we should never be here, just yield the sysconfig one and return
+        yield linux
+        return
+    if is_32bit:
+        if linux == "linux_x86_64":
+            linux = "linux_i686"
+        elif linux == "linux_aarch64":
+            linux = "linux_armv8l"
+    _, arch = linux.split("_", 1)
+    archs = {"armv8l": ["armv8l", "armv7l"]}.get(arch, [arch])
+    yield from _manylinux.platform_tags(archs)
+    yield from _musllinux.platform_tags(archs)
+    for arch in archs:
+        yield f"linux_{arch}"
+
+
+def _emscripten_platforms() -> Iterator[str]:
+    pyemscripten_platform_version = sysconfig.get_config_var(
+        "PYEMSCRIPTEN_PLATFORM_VERSION"
+    )
+    if pyemscripten_platform_version:
+        yield f"pyemscripten_{pyemscripten_platform_version}_wasm32"
+    yield from _generic_platforms()
+
+
+def _generic_platforms() -> Iterator[str]:
+    yield _normalize_string(sysconfig.get_platform())
+
+
+def platform_tags() -> Iterator[str]:
+    """
+    Yields the :attr:`~Tag.platform` tags for the running interpreter.
+    """
+    if platform.system() == "Darwin":
+        return mac_platforms()
+    elif platform.system() == "iOS":
+        return ios_platforms()
+    elif platform.system() == "Android":
+        return android_platforms()
+    elif platform.system() == "Linux":
+        return _linux_platforms()
+    elif platform.system() == "Emscripten":
+        return _emscripten_platforms()
+    else:
+        return _generic_platforms()
+
+
+def interpreter_name() -> str:
+    """
+    Returns the name of the running interpreter.
+
+    Some implementations have a reserved, two-letter abbreviation which will
+    be returned when appropriate.
+
+    This typically acts as the prefix to the :attr:`~Tag.interpreter` tag.
+    """
+    name = sys.implementation.name
+    return INTERPRETER_SHORT_NAMES.get(name) or name
+
+
+def interpreter_version(*, warn: bool = False) -> str:
+    """
+    Returns the running interpreter's version.
+
+    This typically acts as the suffix to the :attr:`~Tag.interpreter` tag.
+
+    :param bool warn: Whether warnings should be logged. Defaults to ``False``.
+    """
+    version = _get_config_var("py_version_nodot", warn=warn)
+    return str(version) if version else _version_nodot(sys.version_info[:2])
+
+
+def _version_nodot(version: PythonVersion) -> str:
+    return "".join(map(str, version))
+
+
+def sys_tags(*, warn: bool = False) -> Iterator[Tag]:
+    """
+    Yields the sequence of tag triples that the running interpreter supports.
+
+    The iterable is ordered so that the best-matching tag is first in the
+    sequence. The exact preferential order to tags is interpreter-specific, but
+    in general the tag importance is in the order of:
+
+    1. Interpreter
+    2. Platform
+    3. ABI
+
+    This order is due to the fact that an ABI is inherently tied to the
+    platform, but platform-specific code is not necessarily tied to the ABI. The
+    interpreter is the most important tag as it dictates basic support for any
+    wheel.
+
+    The function returns an iterable in order to allow for the possible
+    short-circuiting of tag generation if the entire sequence is not necessary
+    and tag calculation happens to be expensive.
+
+    :param bool warn: Whether warnings should be logged. Defaults to ``False``.
+
+    .. versionchanged:: 21.3
+        Added the `pp3-none-any` tag (:issue:`311`).
+    .. versionchanged:: 27.0
+        Added the `abi3t` tag (:issue:`1099`).
+    """
+
+    interp_name = interpreter_name()
+    if interp_name == "cp":
+        yield from cpython_tags(warn=warn)
+    else:
+        yield from generic_tags()
+
+    if interp_name == "pp":
+        interp = "pp3"
+    elif interp_name == "cp":
+        interp = "cp" + interpreter_version(warn=warn)
+    else:
+        interp = None
+    yield from compatible_tags(interpreter=interp)
+
+
+def create_compatible_tags_selector(
+    tags: Iterable[Tag],
+) -> Callable[[Iterable[tuple[_T, AbstractSet[Tag]]]], Iterator[_T]]:
+    """Create a callable to select things compatible with supported tags.
+
+    This function accepts an ordered sequence of tags, with the preferred
+    tags first.
+
+    The returned callable accepts an iterable of tuples (thing, set[Tag]),
+    and returns an iterator of things, with the things with the best
+    matching tags first.
+
+    Example to select compatible wheel filenames:
+
+    >>> from packaging import tags
+    >>> from packaging.utils import parse_wheel_filename
+    >>> selector = tags.create_compatible_tags_selector(tags.sys_tags())
+    >>> filenames = ["foo-1.0-py3-none-any.whl", "foo-1.0-py2-none-any.whl"]
+    >>> list(selector([
+    ...     (filename, parse_wheel_filename(filename)[-1]) for filename in filenames
+    ... ]))
+    ['foo-1.0-py3-none-any.whl']
+
+    .. versionadded:: 26.1
+    """
+    tag_ranks: dict[Tag, int] = {}
+    for rank, tag in enumerate(tags):
+        tag_ranks.setdefault(tag, rank)  # ignore duplicate tags, keep first
+    supported_tags = tag_ranks.keys()
+
+    def selector(
+        tagged_things: Iterable[tuple[_T, AbstractSet[Tag]]],
+    ) -> Iterator[_T]:
+        ranked_things: list[tuple[_T, int]] = []
+        for thing, thing_tags in tagged_things:
+            supported_thing_tags = thing_tags & supported_tags
+            if supported_thing_tags:
+                thing_rank = min(tag_ranks[t] for t in supported_thing_tags)
+                ranked_things.append((thing, thing_rank))
+        return iter(
+            thing for thing, _ in sorted(ranked_things, key=operator.itemgetter(1))
+        )
+
+    return selector
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/utils.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/utils.py
new file mode 100644
index 0000000000000000000000000000000000000000..cbd3be27c4211f73330a318debf6a490b8b9d8ba
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/utils.py
@@ -0,0 +1,296 @@
+# This file is dual licensed under the terms of the Apache License, Version
+# 2.0, and the BSD License. See the LICENSE file in the root of this repository
+# for complete details.
+
+from __future__ import annotations
+
+import re
+from typing import NewType, Tuple, Union, cast
+
+from .tags import Tag, UnsortedTagsError, parse_tag
+from .version import InvalidVersion, Version, _TrimmedRelease
+
+__all__ = [
+    "BuildTag",
+    "InvalidName",
+    "InvalidSdistFilename",
+    "InvalidWheelFilename",
+    "NormalizedName",
+    "canonicalize_name",
+    "canonicalize_version",
+    "is_normalized_name",
+    "parse_sdist_filename",
+    "parse_wheel_filename",
+]
+
+
+def __dir__() -> list[str]:
+    return __all__
+
+
+BuildTag = Union[Tuple[()], Tuple[int, str]]
+
+NormalizedName = NewType("NormalizedName", str)
+"""
+A :class:`typing.NewType` of :class:`str`, representing a normalized name.
+"""
+
+
+class InvalidName(ValueError):
+    """
+    An invalid distribution name; users should refer to the packaging user guide.
+    """
+
+
+class InvalidWheelFilename(ValueError):
+    """
+    An invalid wheel filename was found, users should refer to PEP 427.
+    """
+
+
+class InvalidSdistFilename(ValueError):
+    """
+    An invalid sdist filename was found, users should refer to the packaging user guide.
+    """
+
+
+# Core metadata spec for `Name`
+_validate_regex = re.compile(
+    r"[a-z0-9]|[a-z0-9][a-z0-9._-]*[a-z0-9]", re.IGNORECASE | re.ASCII
+)
+_normalized_regex = re.compile(r"[a-z0-9]|[a-z0-9]([a-z0-9-](?!--))*[a-z0-9]", re.ASCII)
+# PEP 427: The build number must start with a digit.
+_build_tag_regex = re.compile(r"(\d+)(.*)", re.ASCII)
+
+
+def canonicalize_name(name: str, *, validate: bool = False) -> NormalizedName:
+    """
+    This function takes a valid Python package or extra name, and returns the
+    normalized form of it.
+
+    The return type is typed as :class:`NormalizedName`. This allows type
+    checkers to help require that a string has passed through this function
+    before use.
+
+    If **validate** is true, then the function will check if **name** is a valid
+    distribution name before normalizing.
+
+    :param str name: The name to normalize.
+    :param bool validate: Check whether the name is a valid distribution name.
+    :raises InvalidName: If **validate** is true and the name is not an
+        acceptable distribution name.
+
+    >>> from packaging.utils import canonicalize_name
+    >>> canonicalize_name("Django")
+    'django'
+    >>> canonicalize_name("oslo.concurrency")
+    'oslo-concurrency'
+    >>> canonicalize_name("requests")
+    'requests'
+    """
+    if validate and not _validate_regex.fullmatch(name):
+        raise InvalidName(f"name is invalid: {name!r}")
+    # Ensure all ``.`` and ``_`` are ``-``
+    # Emulates ``re.sub(r"[-_.]+", "-", name).lower()`` from PEP 503
+    # Much faster than re, and even faster than str.translate
+    value = name.lower().replace("_", "-").replace(".", "-")
+    # Condense repeats (faster than regex)
+    while "--" in value:
+        value = value.replace("--", "-")
+    return cast("NormalizedName", value)
+
+
+def is_normalized_name(name: str) -> bool:
+    """
+    Check if a name is already normalized (i.e. :func:`canonicalize_name` would
+    roundtrip to the same value).
+
+    :param str name: The name to check.
+
+    >>> from packaging.utils import is_normalized_name
+    >>> is_normalized_name("requests")
+    True
+    >>> is_normalized_name("Django")
+    False
+    """
+    return _normalized_regex.fullmatch(name) is not None
+
+
+def canonicalize_version(
+    version: Version | str, *, strip_trailing_zero: bool = True
+) -> str:
+    """Return a canonical form of a version as a string.
+
+    This function takes a string representing a package version (or a
+    :class:`~packaging.version.Version` instance), and returns the
+    normalized form of it. By default, it strips trailing zeros from
+    the release segment.
+
+    >>> from packaging.utils import canonicalize_version
+    >>> canonicalize_version('1.0.1')
+    '1.0.1'
+
+    Per PEP 625, versions may have multiple canonical forms, differing
+    only by trailing zeros.
+
+    >>> canonicalize_version('1.0.0')
+    '1'
+    >>> canonicalize_version('1.0.0', strip_trailing_zero=False)
+    '1.0.0'
+
+    Invalid versions are returned unaltered.
+
+    >>> canonicalize_version('foo bar baz')
+    'foo bar baz'
+
+    >>> canonicalize_version('1.4.0.0.0')
+    '1.4'
+    """
+    if isinstance(version, str):
+        try:
+            version = Version(version)
+        except InvalidVersion:
+            return str(version)
+    return str(_TrimmedRelease(version) if strip_trailing_zero else version)
+
+
+def parse_wheel_filename(
+    filename: str,
+    *,
+    validate_order: bool = False,
+) -> tuple[NormalizedName, Version, BuildTag, frozenset[Tag]]:
+    """
+    This function takes the filename of a wheel file, and parses it,
+    returning a tuple of name, version, build number, and tags.
+
+    The name part of the tuple is normalized and typed as
+    :class:`NormalizedName`. The version portion is an instance of
+    :class:`~packaging.version.Version`. The build number is ``()`` if
+    there is no build number in the wheel filename, otherwise a
+    two-item tuple of an integer for the leading digits and
+    a string for the rest of the build number. The tags portion is a
+    frozen set of :class:`~packaging.tags.Tag` instances (as the tag
+    string format allows multiple tags to be combined into a single
+    string).
+
+    If **validate_order** is true, compressed tag set components are
+    checked to be in sorted order as required by PEP 425.
+
+    :param str filename: The name of the wheel file.
+    :param bool validate_order: Check whether compressed tag set components
+        are in sorted order.
+    :raises InvalidWheelFilename: If the filename in question
+        does not follow the :ref:`wheel specification
+        `.
+
+    >>> from packaging.utils import parse_wheel_filename
+    >>> from packaging.tags import Tag
+    >>> from packaging.version import Version
+    >>> name, ver, build, tags = parse_wheel_filename("foo-1.0-py3-none-any.whl")
+    >>> name
+    'foo'
+    >>> ver == Version('1.0')
+    True
+    >>> tags == {Tag("py3", "none", "any")}
+    True
+    >>> not build
+    True
+
+    .. versionadded:: 26.1
+       The *validate_order* parameter.
+    """
+    if not filename.endswith(".whl"):
+        raise InvalidWheelFilename(
+            f"Invalid wheel filename (extension must be '.whl'): {filename!r}"
+        )
+
+    filename = filename[:-4]
+    dashes = filename.count("-")
+    if dashes not in (4, 5):
+        raise InvalidWheelFilename(
+            f"Invalid wheel filename (wrong number of parts): {filename!r}"
+        )
+
+    parts = filename.split("-", dashes - 2)
+    name_part = parts[0]
+    # See PEP 427 for the rules on escaping the project name.
+    if "__" in name_part or re.match(r"^[\w\d._]*$", name_part, re.UNICODE) is None:
+        raise InvalidWheelFilename(f"Invalid project name: {filename!r}")
+    name = canonicalize_name(name_part)
+
+    try:
+        version = Version(parts[1])
+    except InvalidVersion as e:
+        raise InvalidWheelFilename(
+            f"Invalid wheel filename (invalid version): {filename!r}"
+        ) from e
+
+    if dashes == 5:
+        build_part = parts[2]
+        build_match = _build_tag_regex.match(build_part)
+        if build_match is None:
+            raise InvalidWheelFilename(
+                f"Invalid build number: {build_part} in {filename!r}"
+            )
+        build = cast("BuildTag", (int(build_match.group(1)), build_match.group(2)))
+    else:
+        build = ()
+    tag_str = parts[-1]
+    try:
+        tags = parse_tag(tag_str, validate_order=validate_order)
+    except UnsortedTagsError:
+        raise InvalidWheelFilename(
+            f"Invalid wheel filename (compressed tag set components must be in "
+            f"sorted order per PEP 425): {filename!r}"
+        ) from None
+    return (name, version, build, tags)
+
+
+def parse_sdist_filename(filename: str) -> tuple[NormalizedName, Version]:
+    """
+    This function takes the filename of a sdist file (as specified
+    in the `Source distribution format`_ documentation), and parses
+    it, returning a tuple of the normalized name and version as
+    represented by an instance of :class:`~packaging.version.Version`.
+
+    :param str filename: The name of the sdist file.
+    :raises InvalidSdistFilename: If the filename does not end
+        with an sdist extension (``.zip`` or ``.tar.gz``), or if it does not
+        contain a dash separating the name and the version of the distribution.
+
+    >>> from packaging.utils import parse_sdist_filename
+    >>> from packaging.version import Version
+    >>> name, ver = parse_sdist_filename("foo-1.0.tar.gz")
+    >>> name
+    'foo'
+    >>> ver == Version('1.0')
+    True
+
+    .. _Source distribution format: https://packaging.python.org/specifications/source-distribution-format/#source-distribution-file-name
+    """
+    if filename.endswith(".tar.gz"):
+        file_stem = filename[: -len(".tar.gz")]
+    elif filename.endswith(".zip"):
+        file_stem = filename[: -len(".zip")]
+    else:
+        raise InvalidSdistFilename(
+            f"Invalid sdist filename (extension must be '.tar.gz' or '.zip'):"
+            f" {filename!r}"
+        )
+
+    # We are requiring a PEP 440 version, which cannot contain dashes,
+    # so we split on the last dash.
+    name_part, sep, version_part = file_stem.rpartition("-")
+    if not sep:
+        raise InvalidSdistFilename(f"Invalid sdist filename: {filename!r}")
+
+    name = canonicalize_name(name_part)
+
+    try:
+        version = Version(version_part)
+    except InvalidVersion as e:
+        raise InvalidSdistFilename(
+            f"Invalid sdist filename (invalid version): {filename!r}"
+        ) from e
+
+    return (name, version)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/version.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/version.py
new file mode 100644
index 0000000000000000000000000000000000000000..905b47e65c4bd24f06b19edac6f78506e76204db
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/packaging/version.py
@@ -0,0 +1,1231 @@
+# This file is dual licensed under the terms of the Apache License, Version
+# 2.0, and the BSD License. See the LICENSE file in the root of this repository
+# for complete details.
+"""
+.. testsetup::
+
+    from pip._vendor.packaging.version import parse, normalize_pre, Version, _cmpkey
+"""
+
+from __future__ import annotations
+
+import re
+import sys
+import typing
+from typing import (
+    Any,
+    Callable,
+    Literal,
+    NamedTuple,
+    SupportsInt,
+    Tuple,
+    TypedDict,
+    Union,
+)
+
+if typing.TYPE_CHECKING:
+    from typing_extensions import Self, Unpack
+
+if sys.version_info >= (3, 13):  # pragma: no cover
+    from warnings import deprecated as _deprecated
+elif typing.TYPE_CHECKING:
+    from typing_extensions import deprecated as _deprecated
+else:  # pragma: no cover
+    import functools
+    import warnings
+
+    def _deprecated(message: str) -> object:
+        def decorator(func: Callable[[...], object]) -> object:
+            @functools.wraps(func)
+            def wrapper(*args: object, **kwargs: object) -> object:
+                warnings.warn(
+                    message,
+                    category=DeprecationWarning,
+                    stacklevel=2,
+                )
+                return func(*args, **kwargs)
+
+            return wrapper
+
+        return decorator
+
+
+_LETTER_NORMALIZATION = {
+    "alpha": "a",
+    "beta": "b",
+    "c": "rc",
+    "pre": "rc",
+    "preview": "rc",
+    "rev": "post",
+    "r": "post",
+}
+
+__all__ = ["VERSION_PATTERN", "InvalidVersion", "Version", "normalize_pre", "parse"]
+
+
+def __dir__() -> list[str]:
+    return __all__
+
+
+LocalType = Tuple[Union[int, str], ...]
+
+CmpLocalType = Tuple[Tuple[int, str], ...]
+CmpSuffix = Tuple[int, int, int, int, int, int]
+CmpKey = Union[
+    Tuple[int, Tuple[int, ...], CmpSuffix],
+    Tuple[int, Tuple[int, ...], CmpSuffix, CmpLocalType],
+]
+VersionComparisonMethod = Callable[[CmpKey, CmpKey], bool]
+
+
+class _VersionReplace(TypedDict, total=False):
+    epoch: int | None
+    release: tuple[int, ...] | None
+    pre: tuple[str, int] | None
+    post: int | None
+    dev: int | None
+    local: str | None
+
+
+def normalize_pre(letter: str, /) -> str:
+    """Normalize the pre-release segment of a version string.
+
+    Returns a lowercase version of the string if not a known pre-release
+    identifier.
+
+    >>> normalize_pre('alpha')
+    'a'
+    >>> normalize_pre('BETA')
+    'b'
+    >>> normalize_pre('rc')
+    'rc'
+
+    :param letter:
+
+    .. versionadded:: 26.1
+    """
+    letter = letter.lower()
+    return _LETTER_NORMALIZATION.get(letter, letter)
+
+
+def parse(version: str) -> Version:
+    """Parse the given version string.
+
+    This is identical to the :class:`Version` constructor.
+
+    >>> parse('1.0.dev1')
+    
+
+    :param version: The version string to parse.
+    :raises InvalidVersion: When the version string is not a valid version.
+    """
+    return Version(version)
+
+
+class InvalidVersion(ValueError):
+    """Raised when a version string is not a valid version.
+
+    >>> Version("invalid")
+    Traceback (most recent call last):
+        ...
+    packaging.version.InvalidVersion: Invalid version: 'invalid'
+    """
+
+
+class _BaseVersion:
+    __slots__ = ()
+
+    # This can also be a normal member (see the packaging_legacy package);
+    # we are just requiring it to be readable. Actually defining a property
+    # has runtime effect on subclasses, so it's typing only.
+    if typing.TYPE_CHECKING:
+
+        @property
+        def _key(self) -> tuple[Any, ...]: ...
+
+    def __hash__(self) -> int:
+        return hash(self._key)
+
+    # Please keep the duplicated `isinstance` check
+    # in the six comparisons hereunder
+    # unless you find a way to avoid adding overhead function calls.
+    def __lt__(self, other: _BaseVersion) -> bool:
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return self._key < other._key
+
+    def __le__(self, other: _BaseVersion) -> bool:
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return self._key <= other._key
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return self._key == other._key
+
+    def __ge__(self, other: _BaseVersion) -> bool:
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return self._key >= other._key
+
+    def __gt__(self, other: _BaseVersion) -> bool:
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return self._key > other._key
+
+    def __ne__(self, other: object) -> bool:
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return self._key != other._key
+
+
+# Deliberately not anchored to the start and end of the string, to make it
+# easier for 3rd party code to reuse
+
+# Note that ++ doesn't behave identically on CPython and PyPy, so not using it here
+_VERSION_PATTERN = r"""
+    v?+                                                   # optional leading v
+    (?a:
+        (?:(?P[0-9]+)!)?+                          # epoch
+        (?P[0-9]+(?:\.[0-9]+)*+)                 # release segment
+        (?P
                                          # pre-release
+            [._-]?+
+            (?Palpha|a|beta|b|preview|pre|c|rc)
+            [._-]?+
+            (?P[0-9]+)?
+        )?+
+        (?P                                         # post release
+            (?:-(?P[0-9]+))
+            |
+            (?:
+                [._-]?
+                (?Ppost|rev|r)
+                [._-]?
+                (?P[0-9]+)?
+            )
+        )?+
+        (?P                                          # dev release
+            [._-]?+
+            (?Pdev)
+            [._-]?+
+            (?P[0-9]+)?
+        )?+
+    )
+    (?a:\+
+        (?P                                        # local version
+            [a-z0-9]+
+            (?:[._-][a-z0-9]+)*+
+        )
+    )?+
+"""
+
+_VERSION_PATTERN_OLD = _VERSION_PATTERN.replace("*+", "*").replace("?+", "?")
+
+# Possessive qualifiers were added in Python 3.11.
+# CPython 3.11.0-3.11.4 had a bug: https://github.com/python/cpython/pull/107795
+# Older PyPy also had a bug.
+VERSION_PATTERN = (
+    _VERSION_PATTERN_OLD
+    if (sys.implementation.name == "cpython" and sys.version_info < (3, 11, 5))
+    or (sys.implementation.name == "pypy" and sys.version_info < (3, 11, 13))
+    or sys.version_info < (3, 11)
+    else _VERSION_PATTERN
+)
+"""
+A string containing the regular expression used to match a valid version.
+
+The pattern is not anchored at either end, and is intended for embedding in larger
+expressions (for example, matching a version number as part of a file name). The
+regular expression should be compiled with the ``re.VERBOSE`` and ``re.IGNORECASE``
+flags set.
+
+.. versionchanged:: 26.0
+
+   The regex now uses possessive qualifiers on Python 3.11 if they are
+   supported (CPython 3.11.5+, PyPy 3.11.13+).
+
+:meta hide-value:
+"""
+
+
+# Validation pattern for local version in replace()
+_LOCAL_PATTERN = re.compile(r"[a-z0-9]+(?:[._-][a-z0-9]+)*", re.IGNORECASE | re.ASCII)
+
+# Fast path: If a version has only digits and dots then we
+# can skip the regex and parse it as a release segment
+_SIMPLE_VERSION_INDICATORS = frozenset(".0123456789")
+
+
+def _validate_epoch(value: object, /) -> int:
+    epoch = value or 0
+    if isinstance(epoch, int) and epoch >= 0:
+        return epoch
+    msg = f"epoch must be non-negative integer, got {epoch}"
+    raise InvalidVersion(msg)
+
+
+def _validate_release(value: object, /) -> tuple[int, ...]:
+    release = (0,) if value is None else value
+    if (
+        isinstance(release, tuple)
+        and len(release) > 0
+        and all(isinstance(i, int) and i >= 0 for i in release)
+    ):
+        return release
+    msg = f"release must be a non-empty tuple of non-negative integers, got {release}"
+    raise InvalidVersion(msg)
+
+
+def _validate_pre(value: object, /) -> tuple[Literal["a", "b", "rc"], int] | None:
+    if value is None:
+        return value
+    if isinstance(value, tuple) and len(value) == 2:
+        letter, number = value
+        letter = normalize_pre(letter)
+        if letter in {"a", "b", "rc"} and isinstance(number, int) and number >= 0:
+            # type checkers can't infer the Literal type here on letter
+            return (letter, number)  # type: ignore[return-value]
+    msg = f"pre must be a tuple of ('a'|'b'|'rc', non-negative int), got {value}"
+    raise InvalidVersion(msg)
+
+
+def _validate_post(value: object, /) -> tuple[Literal["post"], int] | None:
+    if value is None:
+        return value
+    if isinstance(value, int) and value >= 0:
+        return ("post", value)
+    msg = f"post must be non-negative integer, got {value}"
+    raise InvalidVersion(msg)
+
+
+def _validate_dev(value: object, /) -> tuple[Literal["dev"], int] | None:
+    if value is None:
+        return value
+    if isinstance(value, int) and value >= 0:
+        return ("dev", value)
+    msg = f"dev must be non-negative integer, got {value}"
+    raise InvalidVersion(msg)
+
+
+def _validate_local(value: object, /) -> LocalType | None:
+    if value is None:
+        return value
+    if isinstance(value, str) and _LOCAL_PATTERN.fullmatch(value):
+        return _parse_local_version(value)
+    msg = f"local must be a valid version string, got {value!r}"
+    raise InvalidVersion(msg)
+
+
+# Backward compatibility for internals before 26.0. Do not use.
+class _Version(NamedTuple):
+    epoch: int
+    release: tuple[int, ...]
+    dev: tuple[Literal["dev"], int] | None
+    pre: tuple[Literal["a", "b", "rc"], int] | None
+    post: tuple[Literal["post"], int] | None
+    local: LocalType | None
+
+
+class Version(_BaseVersion):
+    """This class abstracts handling of a project's versions.
+
+    A :class:`Version` instance is comparison aware and can be compared and
+    sorted using the standard Python interfaces.
+
+    >>> v1 = Version("1.0a5")
+    >>> v2 = Version("1.0")
+    >>> v1
+    
+    >>> v2
+    
+    >>> v1 < v2
+    True
+    >>> v1 == v2
+    False
+    >>> v1 > v2
+    False
+    >>> v1 >= v2
+    False
+    >>> v1 <= v2
+    True
+
+    :class:`Version` is immutable; use :meth:`__replace__` to change
+    part of a version.
+
+    Instances are safe to serialize with :mod:`pickle`. They use a stable
+    format so the same pickle can be loaded in future packaging releases.
+
+    .. versionchanged:: 26.2
+
+        Added a stable pickle format. Pickles created with packaging 26.2+ can
+        be unpickled with future releases.  Backward compatibility with pickles
+        from pip._vendor.packaging < 26.2 is supported but may be removed in a future
+        release.
+    """
+
+    __slots__ = (
+        "_dev",
+        "_epoch",
+        "_hash_cache",
+        "_key_cache",
+        "_local",
+        "_post",
+        "_pre",
+        "_release",
+    )
+    __match_args__ = ("_str",)
+    """
+    Pattern matching is supported on Python 3.10+.
+
+    .. versionadded:: 26.0
+
+    :meta hide-value:
+    """
+
+    _regex = re.compile(r"\s*" + VERSION_PATTERN + r"\s*", re.VERBOSE | re.IGNORECASE)
+
+    _epoch: int
+    _release: tuple[int, ...]
+    _dev: tuple[Literal["dev"], int] | None
+    _pre: tuple[Literal["a", "b", "rc"], int] | None
+    _post: tuple[Literal["post"], int] | None
+    _local: LocalType | None
+
+    _hash_cache: int | None
+    _key_cache: CmpKey | None
+
+    def __init__(self, version: str) -> None:
+        """Initialize a Version object.
+
+        :param version:
+            The string representation of a version which will be parsed and normalized
+            before use.
+        :raises InvalidVersion:
+            If the ``version`` does not conform to PEP 440 in any way then this
+            exception will be raised.
+        """
+        if _SIMPLE_VERSION_INDICATORS.issuperset(version):
+            try:
+                self._release = tuple(map(int, version.split(".")))
+            except ValueError:
+                # Empty parts (from "1..2", ".1", etc.) are invalid versions.
+                # Any other ValueError (e.g. int str-digits limit) should
+                # propagate to the caller.
+                if "" in version.split("."):
+                    raise InvalidVersion(f"Invalid version: {version!r}") from None
+                # TODO: remove "no cover" when Python 3.9 is dropped.
+                raise  # pragma: no cover
+
+            self._epoch = 0
+            self._pre = None
+            self._post = None
+            self._dev = None
+            self._local = None
+            self._key_cache = None
+            self._hash_cache = None
+            return
+
+        # Validate the version and parse it into pieces
+        match = self._regex.fullmatch(version)
+        if not match:
+            raise InvalidVersion(f"Invalid version: {version!r}")
+        self._epoch = int(match.group("epoch")) if match.group("epoch") else 0
+        self._release = tuple(map(int, match.group("release").split(".")))
+        # We can type ignore the assignments below because the regex guarantees
+        # the correct strings
+        self._pre = _parse_letter_version(match.group("pre_l"), match.group("pre_n"))  # type: ignore[assignment]
+        self._post = _parse_letter_version(  # type: ignore[assignment]
+            match.group("post_l"), match.group("post_n1") or match.group("post_n2")
+        )
+        self._dev = _parse_letter_version(match.group("dev_l"), match.group("dev_n"))  # type: ignore[assignment]
+        self._local = _parse_local_version(match.group("local"))
+
+        # Key which will be used for sorting
+        self._key_cache = None
+        self._hash_cache = None
+
+    @classmethod
+    def from_parts(
+        cls,
+        *,
+        epoch: int = 0,
+        release: tuple[int, ...],
+        pre: tuple[str, int] | None = None,
+        post: int | None = None,
+        dev: int | None = None,
+        local: str | None = None,
+    ) -> Self:
+        """
+        Return a new version composed of the various parts.
+
+        This allows you to build a version without going though a string and
+        running a regular expression. It normalizes pre-release strings. The
+        ``release=`` keyword argument is required.
+
+        >>> Version.from_parts(release=(1,2,3))
+        
+        >>> Version.from_parts(release=(0,1,0), pre=("b", 1))
+        
+
+        :param epoch:
+        :param release: This version tuple is required
+
+        .. versionadded:: 26.1
+        """
+        _epoch = _validate_epoch(epoch)
+        _release = _validate_release(release)
+        _pre = _validate_pre(pre) if pre is not None else None
+        _post = _validate_post(post) if post is not None else None
+        _dev = _validate_dev(dev) if dev is not None else None
+        _local = _validate_local(local) if local is not None else None
+
+        new_version = cls.__new__(cls)
+        new_version._key_cache = None
+        new_version._hash_cache = None
+        new_version._epoch = _epoch
+        new_version._release = _release
+        new_version._pre = _pre
+        new_version._post = _post
+        new_version._dev = _dev
+        new_version._local = _local
+
+        return new_version
+
+    def __replace__(self, **kwargs: Unpack[_VersionReplace]) -> Self:
+        """
+        __replace__(*, epoch=..., release=..., pre=..., post=..., dev=..., local=...)
+
+        Return a new version with parts replaced.
+
+        This returns a new version (unless no parts were changed). The
+        pre-release is normalized. Setting a value to ``None`` clears it.
+
+        >>> v = Version("1.2.3")
+        >>> v.__replace__(pre=("a", 1))
+        
+
+        :param int | None epoch:
+        :param tuple[int, ...] | None release:
+        :param tuple[str, int] | None pre:
+        :param int | None post:
+        :param int | None dev:
+        :param str | None local:
+
+        .. versionadded:: 26.0
+        .. versionchanged:: 26.1
+
+           The pre-release portion is now normalized.
+        """
+        epoch = _validate_epoch(kwargs["epoch"]) if "epoch" in kwargs else self._epoch
+        release = (
+            _validate_release(kwargs["release"])
+            if "release" in kwargs
+            else self._release
+        )
+        pre = _validate_pre(kwargs["pre"]) if "pre" in kwargs else self._pre
+        post = _validate_post(kwargs["post"]) if "post" in kwargs else self._post
+        dev = _validate_dev(kwargs["dev"]) if "dev" in kwargs else self._dev
+        local = _validate_local(kwargs["local"]) if "local" in kwargs else self._local
+
+        if (
+            epoch == self._epoch
+            and release == self._release
+            and pre == self._pre
+            and post == self._post
+            and dev == self._dev
+            and local == self._local
+        ):
+            return self
+
+        new_version = self.__class__.__new__(self.__class__)
+        new_version._key_cache = None
+        new_version._hash_cache = None
+        new_version._epoch = epoch
+        new_version._release = release
+        new_version._pre = pre
+        new_version._post = post
+        new_version._dev = dev
+        new_version._local = local
+
+        return new_version
+
+    @property
+    def _key(self) -> CmpKey:
+        if self._key_cache is None:
+            self._key_cache = _cmpkey(
+                self._epoch,
+                self._release,
+                self._pre,
+                self._post,
+                self._dev,
+                self._local,
+            )
+        return self._key_cache
+
+    # __hash__ must be defined when __eq__ is overridden,
+    # otherwise Python sets __hash__ to None.
+    def __hash__(self) -> int:
+        if (cached_hash := self._hash_cache) is not None:
+            return cached_hash
+
+        if (key := self._key_cache) is None:
+            self._key_cache = key = _cmpkey(
+                self._epoch,
+                self._release,
+                self._pre,
+                self._post,
+                self._dev,
+                self._local,
+            )
+        self._hash_cache = cached_hash = hash(key)
+        return cached_hash
+
+    # Override comparison methods to use direct _key_cache access
+    # This is faster than property access, especially before Python 3.12
+    def __lt__(self, other: _BaseVersion) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache < other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__lt__(other)
+
+    def __le__(self, other: _BaseVersion) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache <= other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__le__(other)
+
+    def __eq__(self, other: object) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache == other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__eq__(other)
+
+    def __ge__(self, other: _BaseVersion) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache >= other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__ge__(other)
+
+    def __gt__(self, other: _BaseVersion) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache > other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__gt__(other)
+
+    def __ne__(self, other: object) -> bool:
+        if isinstance(other, Version):
+            if self._key_cache is None:
+                self._key_cache = _cmpkey(
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                )
+            if other._key_cache is None:
+                other._key_cache = _cmpkey(
+                    other._epoch,
+                    other._release,
+                    other._pre,
+                    other._post,
+                    other._dev,
+                    other._local,
+                )
+            return self._key_cache != other._key_cache
+
+        if not isinstance(other, _BaseVersion):
+            return NotImplemented
+
+        return super().__ne__(other)
+
+    def __getstate__(
+        self,
+    ) -> tuple[
+        int,
+        tuple[int, ...],
+        tuple[str, int] | None,
+        tuple[str, int] | None,
+        tuple[str, int] | None,
+        LocalType | None,
+    ]:
+        # Return state as a 6-item tuple for compactness:
+        #   (epoch, release, pre, post, dev, local)
+        # Cache members are excluded and will be recomputed on demand
+        return (
+            self._epoch,
+            self._release,
+            self._pre,
+            self._post,
+            self._dev,
+            self._local,
+        )
+
+    def __setstate__(self, state: object) -> None:
+        # Always discard cached values — they may contain stale references
+        # (e.g. packaging._structures.InfinityType from pre-26.1 pickles)
+        # and will be recomputed on demand from the core fields above.
+        self._key_cache = None
+        self._hash_cache = None
+
+        if isinstance(state, tuple):
+            if len(state) == 6:
+                # New format (26.2+): (epoch, release, pre, post, dev, local)
+                (
+                    self._epoch,
+                    self._release,
+                    self._pre,
+                    self._post,
+                    self._dev,
+                    self._local,
+                ) = state
+                return
+            if len(state) == 2:
+                # Format (packaging 26.0-26.1): (None, {slot: value}).
+                _, slot_dict = state
+                if isinstance(slot_dict, dict):
+                    self._epoch = slot_dict["_epoch"]
+                    self._release = slot_dict["_release"]
+                    self._pre = slot_dict.get("_pre")
+                    self._post = slot_dict.get("_post")
+                    self._dev = slot_dict.get("_dev")
+                    self._local = slot_dict.get("_local")
+                    return
+        if isinstance(state, dict):
+            # Old format (packaging <= 25.x, no __slots__): state is a plain
+            # dict with "_version" (_Version NamedTuple) and "_key" entries.
+            version_nt = state.get("_version")
+            if version_nt is not None:
+                self._epoch = version_nt.epoch
+                self._release = version_nt.release
+                self._pre = version_nt.pre
+                self._post = version_nt.post
+                self._dev = version_nt.dev
+                self._local = version_nt.local
+                return
+
+        raise TypeError(f"Cannot restore Version from {state!r}")
+
+    @property
+    @_deprecated("Version._version is private and will be removed soon")
+    def _version(self) -> _Version:
+        return _Version(
+            self._epoch, self._release, self._dev, self._pre, self._post, self._local
+        )
+
+    @_version.setter
+    @_deprecated("Version._version is private and will be removed soon")
+    def _version(self, value: _Version) -> None:
+        self._epoch = value.epoch
+        self._release = value.release
+        self._dev = value.dev
+        self._pre = value.pre
+        self._post = value.post
+        self._local = value.local
+        self._key_cache = None
+        self._hash_cache = None
+
+    def __repr__(self) -> str:
+        """A representation of the Version that shows all internal state.
+
+        >>> Version('1.0.0')
+        
+        """
+        return f"<{self.__class__.__name__}({str(self)!r})>"
+
+    def __str__(self) -> str:
+        """A string representation of the version that can be round-tripped.
+
+        >>> str(Version("1.0a5"))
+        '1.0a5'
+        """
+        # This is a hot function, so not calling self.base_version
+        version = ".".join(map(str, self.release))
+
+        # Epoch
+        if self.epoch:
+            version = f"{self.epoch}!{version}"
+
+        # Pre-release
+        if self.pre is not None:
+            version += "".join(map(str, self.pre))
+
+        # Post-release
+        if self.post is not None:
+            version += f".post{self.post}"
+
+        # Development release
+        if self.dev is not None:
+            version += f".dev{self.dev}"
+
+        # Local version segment
+        if self.local is not None:
+            version += f"+{self.local}"
+
+        return version
+
+    @property
+    def _str(self) -> str:
+        """Internal property for match_args"""
+        return str(self)
+
+    @property
+    def epoch(self) -> int:
+        """The epoch of the version.
+
+        >>> Version("2.0.0").epoch
+        0
+        >>> Version("1!2.0.0").epoch
+        1
+        """
+        return self._epoch
+
+    @property
+    def release(self) -> tuple[int, ...]:
+        """The components of the "release" segment of the version.
+
+        >>> Version("1.2.3").release
+        (1, 2, 3)
+        >>> Version("2.0.0").release
+        (2, 0, 0)
+        >>> Version("1!2.0.0.post0").release
+        (2, 0, 0)
+
+        Includes trailing zeroes but not the epoch or any pre-release / development /
+        post-release suffixes.
+        """
+        return self._release
+
+    @property
+    def pre(self) -> tuple[Literal["a", "b", "rc"], int] | None:
+        """The pre-release segment of the version.
+
+        >>> print(Version("1.2.3").pre)
+        None
+        >>> Version("1.2.3a1").pre
+        ('a', 1)
+        >>> Version("1.2.3b1").pre
+        ('b', 1)
+        >>> Version("1.2.3rc1").pre
+        ('rc', 1)
+        """
+        return self._pre
+
+    @property
+    def post(self) -> int | None:
+        """The post-release number of the version.
+
+        >>> print(Version("1.2.3").post)
+        None
+        >>> Version("1.2.3.post1").post
+        1
+        """
+        return self._post[1] if self._post else None
+
+    @property
+    def dev(self) -> int | None:
+        """The development number of the version.
+
+        >>> print(Version("1.2.3").dev)
+        None
+        >>> Version("1.2.3.dev1").dev
+        1
+        """
+        return self._dev[1] if self._dev else None
+
+    @property
+    def local(self) -> str | None:
+        """The local version segment of the version.
+
+        >>> print(Version("1.2.3").local)
+        None
+        >>> Version("1.2.3+abc").local
+        'abc'
+        """
+        if self._local:
+            return ".".join(str(x) for x in self._local)
+        else:
+            return None
+
+    @property
+    def public(self) -> str:
+        """The public portion of the version.
+
+        This returns a string. If you want a :class:`Version` again and care
+        about performance, use ``v.__replace__(local=None)`` instead.
+
+        >>> Version("1.2.3").public
+        '1.2.3'
+        >>> Version("1.2.3+abc").public
+        '1.2.3'
+        >>> Version("1!1.2.3dev1+abc").public
+        '1!1.2.3.dev1'
+        """
+        return str(self).split("+", 1)[0]
+
+    @property
+    def base_version(self) -> str:
+        """The "base version" of the version.
+
+        This returns a string. If you want a :class:`Version` again and care
+        about performance, use
+        ``v.__replace__(pre=None, post=None, dev=None, local=None)`` instead.
+
+        >>> Version("1.2.3").base_version
+        '1.2.3'
+        >>> Version("1.2.3+abc").base_version
+        '1.2.3'
+        >>> Version("1!1.2.3dev1+abc").base_version
+        '1!1.2.3'
+
+        The "base version" is the public version of the project without any pre or post
+        release markers.
+        """
+        release_segment = ".".join(map(str, self.release))
+        return f"{self.epoch}!{release_segment}" if self.epoch else release_segment
+
+    @property
+    def is_prerelease(self) -> bool:
+        """Whether this version is a pre-release.
+
+        >>> Version("1.2.3").is_prerelease
+        False
+        >>> Version("1.2.3a1").is_prerelease
+        True
+        >>> Version("1.2.3b1").is_prerelease
+        True
+        >>> Version("1.2.3rc1").is_prerelease
+        True
+        >>> Version("1.2.3dev1").is_prerelease
+        True
+        """
+        return self.dev is not None or self.pre is not None
+
+    @property
+    def is_postrelease(self) -> bool:
+        """Whether this version is a post-release.
+
+        >>> Version("1.2.3").is_postrelease
+        False
+        >>> Version("1.2.3.post1").is_postrelease
+        True
+        """
+        return self.post is not None
+
+    @property
+    def is_devrelease(self) -> bool:
+        """Whether this version is a development release.
+
+        >>> Version("1.2.3").is_devrelease
+        False
+        >>> Version("1.2.3.dev1").is_devrelease
+        True
+        """
+        return self.dev is not None
+
+    @property
+    def major(self) -> int:
+        """The first item of :attr:`release` or ``0`` if unavailable.
+
+        >>> Version("1.2.3").major
+        1
+        """
+        return self.release[0] if len(self.release) >= 1 else 0
+
+    @property
+    def minor(self) -> int:
+        """The second item of :attr:`release` or ``0`` if unavailable.
+
+        >>> Version("1.2.3").minor
+        2
+        >>> Version("1").minor
+        0
+        """
+        return self.release[1] if len(self.release) >= 2 else 0
+
+    @property
+    def micro(self) -> int:
+        """The third item of :attr:`release` or ``0`` if unavailable.
+
+        >>> Version("1.2.3").micro
+        3
+        >>> Version("1").micro
+        0
+        """
+        return self.release[2] if len(self.release) >= 3 else 0
+
+
+class _TrimmedRelease(Version):
+    __slots__ = ()
+
+    def __init__(self, version: str | Version) -> None:
+        if isinstance(version, Version):
+            self._epoch = version._epoch
+            self._release = version._release
+            self._dev = version._dev
+            self._pre = version._pre
+            self._post = version._post
+            self._local = version._local
+            self._key_cache = version._key_cache
+            return
+        super().__init__(version)  # pragma: no cover
+
+    @property
+    def release(self) -> tuple[int, ...]:
+        """
+        Release segment without any trailing zeros.
+
+        >>> _TrimmedRelease('1.0.0').release
+        (1,)
+        >>> _TrimmedRelease('0.0').release
+        (0,)
+        """
+        # This leaves one 0.
+        rel = super().release
+        len_release = len(rel)
+        i = len_release
+        while i > 1 and rel[i - 1] == 0:
+            i -= 1
+        return rel if i == len_release else rel[:i]
+
+
+def _parse_letter_version(
+    letter: str | None, number: str | bytes | SupportsInt | None
+) -> tuple[str, int] | None:
+    if letter:
+        # We normalize any letters to their lower case form
+        letter = letter.lower()
+
+        # We consider some words to be alternate spellings of other words and
+        # in those cases we want to normalize the spellings to our preferred
+        # spelling.
+        letter = _LETTER_NORMALIZATION.get(letter, letter)
+
+        # We consider there to be an implicit 0 in a pre-release if there is
+        # not a numeral associated with it.
+        return letter, int(number or 0)
+
+    if number:
+        # We assume if we are given a number, but we are not given a letter
+        # then this is using the implicit post release syntax (e.g. 1.0-1)
+        return "post", int(number)
+
+    return None
+
+
+_local_version_separators = re.compile(r"[\._-]")
+
+
+def _parse_local_version(local: str | None) -> LocalType | None:
+    """
+    Takes a string like ``"abc.1.twelve"`` and turns it into
+    ``("abc", 1, "twelve")``.
+    """
+    if local is not None:
+        return tuple(
+            part.lower() if not part.isdigit() else int(part)
+            for part in _local_version_separators.split(local)
+        )
+    return None
+
+
+# Sort ranks for pre-release: dev-only < a < b < rc < stable (no pre-release).
+_PRE_RANK = {"a": 0, "b": 1, "rc": 2}
+_PRE_RANK_DEV_ONLY = -1  # sorts before a(0)
+_PRE_RANK_STABLE = 3  # sorts after rc(2)
+
+# In local version segments, strings sort before ints per PEP 440.
+_LOCAL_STR_RANK = -1  # sorts before all non-negative ints
+
+# Pre-computed suffix for stable releases (no pre, post, or dev segments).
+# See _cmpkey() for the suffix layout.
+_STABLE_SUFFIX = (_PRE_RANK_STABLE, 0, 0, 0, 1, 0)
+
+
+def _cmpkey(
+    epoch: int,
+    release: tuple[int, ...],
+    pre: tuple[str, int] | None,
+    post: tuple[str, int] | None,
+    dev: tuple[str, int] | None,
+    local: LocalType | None,
+) -> CmpKey:
+    """Build a comparison key for PEP 440 ordering.
+
+    Returns ``(epoch, release, suffix)`` or
+    ``(epoch, release, suffix, local)`` so that plain tuple
+    comparison gives the correct order.
+
+    Trailing zeros are stripped from the release so that ``1.0.0 == 1``.
+
+    The suffix is a flat 6-int tuple that encodes pre/post/dev:
+    ``(pre_rank, pre_n, post_rank, post_n, dev_rank, dev_n)``
+
+    pre_rank: dev-only=-1, a=0, b=1, rc=2, no-pre=3
+        Dev-only releases (no pre or post) get -1 so they sort before
+        any alpha/beta/rc.  Releases without a pre-release tag get 3
+        so they sort after rc.
+    post_rank: no-post=0, post=1
+        Releases without a post segment sort before those with one.
+    dev_rank: dev=0, no-dev=1
+        Releases without a dev segment sort after those with one.
+
+    Local segments use ``(n, "")`` for ints and ``(-1, s)`` for strings,
+    following PEP 440: strings sort before ints, strings compare
+    lexicographically, ints compare numerically, and shorter segments
+    sort before longer when prefixes match.  Versions without a local
+    segment sort before those with one (3-tuple < 4-tuple).
+
+    >>> _cmpkey(0, (1, 0, 0), None, None, None, None)
+    (0, (1,), (3, 0, 0, 0, 1, 0))
+    >>> _cmpkey(0, (1,), ("a", 1), None, None, None)
+    (0, (1,), (0, 1, 0, 0, 1, 0))
+    >>> _cmpkey(0, (1,), None, None, None, ("ubuntu", 1))
+    (0, (1,), (3, 0, 0, 0, 1, 0), ((-1, 'ubuntu'), (1, '')))
+    """
+    # Strip trailing zeros: 1.0.0 compares equal to 1.
+    len_release = len(release)
+    i = len_release
+    while i and release[i - 1] == 0:
+        i -= 1
+    trimmed = release if i == len_release else release[:i]
+
+    # Fast path: stable release with no local segment.
+    if pre is None and post is None and dev is None and local is None:
+        return epoch, trimmed, _STABLE_SUFFIX
+
+    if pre is None and post is None and dev is not None:
+        # dev-only (e.g. 1.0.dev1) sorts before all pre-releases.
+        pre_rank, pre_n = _PRE_RANK_DEV_ONLY, 0
+    elif pre is None:
+        pre_rank, pre_n = _PRE_RANK_STABLE, 0
+    else:
+        pre_rank, pre_n = _PRE_RANK[pre[0]], pre[1]
+
+    post_rank = 0 if post is None else 1
+    post_n = 0 if post is None else post[1]
+
+    dev_rank = 1 if dev is None else 0
+    dev_n = 0 if dev is None else dev[1]
+
+    suffix = (pre_rank, pre_n, post_rank, post_n, dev_rank, dev_n)
+
+    if local is None:
+        return epoch, trimmed, suffix
+
+    cmp_local: CmpLocalType = tuple(
+        (seg, "") if isinstance(seg, int) else (_LOCAL_STR_RANK, seg) for seg in local
+    )
+    return epoch, trimmed, suffix, cmp_local
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pkg_resources/LICENSE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pkg_resources/LICENSE
new file mode 100644
index 0000000000000000000000000000000000000000..1bb5a44356f00884a71ceeefd24ded6caaba2418
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pkg_resources/LICENSE
@@ -0,0 +1,17 @@
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to
+deal in the Software without restriction, including without limitation the
+rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
+sell copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in
+all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
+IN THE SOFTWARE.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pkg_resources/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pkg_resources/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..72f2b03514d9f3f0717b0f9b83a89e418140db0b
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pkg_resources/__init__.py
@@ -0,0 +1,3676 @@
+# TODO: Add Generic type annotations to initialized collections.
+# For now we'd simply use implicit Any/Unknown which would add redundant annotations
+# mypy: disable-error-code="var-annotated"
+"""
+Package resource API
+--------------------
+
+A resource is a logical file contained within a package, or a logical
+subdirectory thereof.  The package resource API expects resource names
+to have their path parts separated with ``/``, *not* whatever the local
+path separator is.  Do not use os.path operations to manipulate resource
+names being passed into the API.
+
+The package resource API is designed to work with normal filesystem packages,
+.egg files, and unpacked .egg files.  It can also work in a limited way with
+.zip files and with custom PEP 302 loaders that support the ``get_data()``
+method.
+
+This module is deprecated. Users are directed to :mod:`importlib.resources`,
+:mod:`importlib.metadata` and :pypi:`packaging` instead.
+"""
+
+from __future__ import annotations
+
+import sys
+
+if sys.version_info < (3, 8):  # noqa: UP036 # Check for unsupported versions
+    raise RuntimeError("Python 3.8 or later is required")
+
+import os
+import io
+import time
+import re
+import types
+from typing import (
+    Any,
+    Literal,
+    Dict,
+    Iterator,
+    Mapping,
+    MutableSequence,
+    NamedTuple,
+    NoReturn,
+    Tuple,
+    Union,
+    TYPE_CHECKING,
+    Protocol,
+    Callable,
+    Iterable,
+    TypeVar,
+    overload,
+)
+import zipfile
+import zipimport
+import warnings
+import stat
+import functools
+import pkgutil
+import operator
+import platform
+import collections
+import plistlib
+import email.parser
+import errno
+import tempfile
+import textwrap
+import inspect
+import ntpath
+import posixpath
+import importlib
+import importlib.abc
+import importlib.machinery
+from pkgutil import get_importer
+
+import _imp
+
+# capture these to bypass sandboxing
+from os import utime
+from os import open as os_open
+from os.path import isdir, split
+
+try:
+    from os import mkdir, rename, unlink
+
+    WRITE_SUPPORT = True
+except ImportError:
+    # no write support, probably under GAE
+    WRITE_SUPPORT = False
+
+from pip._internal.utils._jaraco_text import (
+    yield_lines,
+    drop_comment,
+    join_continuation,
+)
+from pip._vendor.packaging import markers as _packaging_markers
+from pip._vendor.packaging import requirements as _packaging_requirements
+from pip._vendor.packaging import utils as _packaging_utils
+from pip._vendor.packaging import version as _packaging_version
+from pip._vendor.platformdirs import user_cache_dir as _user_cache_dir
+
+if TYPE_CHECKING:
+    from _typeshed import BytesPath, StrPath, StrOrBytesPath
+    from typing_extensions import Self
+
+
+# Patch: Remove deprecation warning from vendored pkg_resources.
+# Setting PYTHONWARNINGS=error to verify builds produce no warnings
+# causes immediate exceptions.
+# See https://github.com/pypa/pip/issues/12243
+
+
+_T = TypeVar("_T")
+_DistributionT = TypeVar("_DistributionT", bound="Distribution")
+# Type aliases
+_NestedStr = Union[str, Iterable[Union[str, Iterable["_NestedStr"]]]]
+_InstallerTypeT = Callable[["Requirement"], "_DistributionT"]
+_InstallerType = Callable[["Requirement"], Union["Distribution", None]]
+_PkgReqType = Union[str, "Requirement"]
+_EPDistType = Union["Distribution", _PkgReqType]
+_MetadataType = Union["IResourceProvider", None]
+_ResolvedEntryPoint = Any  # Can be any attribute in the module
+_ResourceStream = Any  # TODO / Incomplete: A readable file-like object
+# Any object works, but let's indicate we expect something like a module (optionally has __loader__ or __file__)
+_ModuleLike = Union[object, types.ModuleType]
+# Any: Should be _ModuleLike but we end up with issues where _ModuleLike doesn't have _ZipLoaderModule's __loader__
+_ProviderFactoryType = Callable[[Any], "IResourceProvider"]
+_DistFinderType = Callable[[_T, str, bool], Iterable["Distribution"]]
+_NSHandlerType = Callable[[_T, str, str, types.ModuleType], Union[str, None]]
+_AdapterT = TypeVar(
+    "_AdapterT", _DistFinderType[Any], _ProviderFactoryType, _NSHandlerType[Any]
+)
+
+
+# Use _typeshed.importlib.LoaderProtocol once available https://github.com/python/typeshed/pull/11890
+class _LoaderProtocol(Protocol):
+    def load_module(self, fullname: str, /) -> types.ModuleType: ...
+
+
+class _ZipLoaderModule(Protocol):
+    __loader__: zipimport.zipimporter
+
+
+_PEP440_FALLBACK = re.compile(r"^v?(?P(?:[0-9]+!)?[0-9]+(?:\.[0-9]+)*)", re.I)
+
+
+class PEP440Warning(RuntimeWarning):
+    """
+    Used when there is an issue with a version or specifier not complying with
+    PEP 440.
+    """
+
+
+parse_version = _packaging_version.Version
+
+
+_state_vars: dict[str, str] = {}
+
+
+def _declare_state(vartype: str, varname: str, initial_value: _T) -> _T:
+    _state_vars[varname] = vartype
+    return initial_value
+
+
+def __getstate__() -> dict[str, Any]:
+    state = {}
+    g = globals()
+    for k, v in _state_vars.items():
+        state[k] = g['_sget_' + v](g[k])
+    return state
+
+
+def __setstate__(state: dict[str, Any]) -> dict[str, Any]:
+    g = globals()
+    for k, v in state.items():
+        g['_sset_' + _state_vars[k]](k, g[k], v)
+    return state
+
+
+def _sget_dict(val):
+    return val.copy()
+
+
+def _sset_dict(key, ob, state):
+    ob.clear()
+    ob.update(state)
+
+
+def _sget_object(val):
+    return val.__getstate__()
+
+
+def _sset_object(key, ob, state):
+    ob.__setstate__(state)
+
+
+_sget_none = _sset_none = lambda *args: None
+
+
+def get_supported_platform():
+    """Return this platform's maximum compatible version.
+
+    distutils.util.get_platform() normally reports the minimum version
+    of macOS that would be required to *use* extensions produced by
+    distutils.  But what we want when checking compatibility is to know the
+    version of macOS that we are *running*.  To allow usage of packages that
+    explicitly require a newer version of macOS, we must also know the
+    current version of the OS.
+
+    If this condition occurs for any other platform with a version in its
+    platform strings, this function should be extended accordingly.
+    """
+    plat = get_build_platform()
+    m = macosVersionString.match(plat)
+    if m is not None and sys.platform == "darwin":
+        try:
+            plat = 'macosx-%s-%s' % ('.'.join(_macos_vers()[:2]), m.group(3))
+        except ValueError:
+            # not macOS
+            pass
+    return plat
+
+
+__all__ = [
+    # Basic resource access and distribution/entry point discovery
+    'require',
+    'run_script',
+    'get_provider',
+    'get_distribution',
+    'load_entry_point',
+    'get_entry_map',
+    'get_entry_info',
+    'iter_entry_points',
+    'resource_string',
+    'resource_stream',
+    'resource_filename',
+    'resource_listdir',
+    'resource_exists',
+    'resource_isdir',
+    # Environmental control
+    'declare_namespace',
+    'working_set',
+    'add_activation_listener',
+    'find_distributions',
+    'set_extraction_path',
+    'cleanup_resources',
+    'get_default_cache',
+    # Primary implementation classes
+    'Environment',
+    'WorkingSet',
+    'ResourceManager',
+    'Distribution',
+    'Requirement',
+    'EntryPoint',
+    # Exceptions
+    'ResolutionError',
+    'VersionConflict',
+    'DistributionNotFound',
+    'UnknownExtra',
+    'ExtractionError',
+    # Warnings
+    'PEP440Warning',
+    # Parsing functions and string utilities
+    'parse_requirements',
+    'parse_version',
+    'safe_name',
+    'safe_version',
+    'get_platform',
+    'compatible_platforms',
+    'yield_lines',
+    'split_sections',
+    'safe_extra',
+    'to_filename',
+    'invalid_marker',
+    'evaluate_marker',
+    # filesystem utilities
+    'ensure_directory',
+    'normalize_path',
+    # Distribution "precedence" constants
+    'EGG_DIST',
+    'BINARY_DIST',
+    'SOURCE_DIST',
+    'CHECKOUT_DIST',
+    'DEVELOP_DIST',
+    # "Provider" interfaces, implementations, and registration/lookup APIs
+    'IMetadataProvider',
+    'IResourceProvider',
+    'FileMetadata',
+    'PathMetadata',
+    'EggMetadata',
+    'EmptyProvider',
+    'empty_provider',
+    'NullProvider',
+    'EggProvider',
+    'DefaultProvider',
+    'ZipProvider',
+    'register_finder',
+    'register_namespace_handler',
+    'register_loader_type',
+    'fixup_namespace_packages',
+    'get_importer',
+    # Warnings
+    'PkgResourcesDeprecationWarning',
+    # Deprecated/backward compatibility only
+    'run_main',
+    'AvailableDistributions',
+]
+
+
+class ResolutionError(Exception):
+    """Abstract base for dependency resolution errors"""
+
+    def __repr__(self):
+        return self.__class__.__name__ + repr(self.args)
+
+
+class VersionConflict(ResolutionError):
+    """
+    An already-installed version conflicts with the requested version.
+
+    Should be initialized with the installed Distribution and the requested
+    Requirement.
+    """
+
+    _template = "{self.dist} is installed but {self.req} is required"
+
+    @property
+    def dist(self) -> Distribution:
+        return self.args[0]
+
+    @property
+    def req(self) -> Requirement:
+        return self.args[1]
+
+    def report(self):
+        return self._template.format(**locals())
+
+    def with_context(self, required_by: set[Distribution | str]):
+        """
+        If required_by is non-empty, return a version of self that is a
+        ContextualVersionConflict.
+        """
+        if not required_by:
+            return self
+        args = self.args + (required_by,)
+        return ContextualVersionConflict(*args)
+
+
+class ContextualVersionConflict(VersionConflict):
+    """
+    A VersionConflict that accepts a third parameter, the set of the
+    requirements that required the installed Distribution.
+    """
+
+    _template = VersionConflict._template + ' by {self.required_by}'
+
+    @property
+    def required_by(self) -> set[str]:
+        return self.args[2]
+
+
+class DistributionNotFound(ResolutionError):
+    """A requested distribution was not found"""
+
+    _template = (
+        "The '{self.req}' distribution was not found "
+        "and is required by {self.requirers_str}"
+    )
+
+    @property
+    def req(self) -> Requirement:
+        return self.args[0]
+
+    @property
+    def requirers(self) -> set[str] | None:
+        return self.args[1]
+
+    @property
+    def requirers_str(self):
+        if not self.requirers:
+            return 'the application'
+        return ', '.join(self.requirers)
+
+    def report(self):
+        return self._template.format(**locals())
+
+    def __str__(self):
+        return self.report()
+
+
+class UnknownExtra(ResolutionError):
+    """Distribution doesn't have an "extra feature" of the given name"""
+
+
+_provider_factories: dict[type[_ModuleLike], _ProviderFactoryType] = {}
+
+PY_MAJOR = '{}.{}'.format(*sys.version_info)
+EGG_DIST = 3
+BINARY_DIST = 2
+SOURCE_DIST = 1
+CHECKOUT_DIST = 0
+DEVELOP_DIST = -1
+
+
+def register_loader_type(
+    loader_type: type[_ModuleLike], provider_factory: _ProviderFactoryType
+):
+    """Register `provider_factory` to make providers for `loader_type`
+
+    `loader_type` is the type or class of a PEP 302 ``module.__loader__``,
+    and `provider_factory` is a function that, passed a *module* object,
+    returns an ``IResourceProvider`` for that module.
+    """
+    _provider_factories[loader_type] = provider_factory
+
+
+@overload
+def get_provider(moduleOrReq: str) -> IResourceProvider: ...
+@overload
+def get_provider(moduleOrReq: Requirement) -> Distribution: ...
+def get_provider(moduleOrReq: str | Requirement) -> IResourceProvider | Distribution:
+    """Return an IResourceProvider for the named module or requirement"""
+    if isinstance(moduleOrReq, Requirement):
+        return working_set.find(moduleOrReq) or require(str(moduleOrReq))[0]
+    try:
+        module = sys.modules[moduleOrReq]
+    except KeyError:
+        __import__(moduleOrReq)
+        module = sys.modules[moduleOrReq]
+    loader = getattr(module, '__loader__', None)
+    return _find_adapter(_provider_factories, loader)(module)
+
+
+@functools.lru_cache(maxsize=None)
+def _macos_vers():
+    version = platform.mac_ver()[0]
+    # fallback for MacPorts
+    if version == '':
+        plist = '/System/Library/CoreServices/SystemVersion.plist'
+        if os.path.exists(plist):
+            with open(plist, 'rb') as fh:
+                plist_content = plistlib.load(fh)
+            if 'ProductVersion' in plist_content:
+                version = plist_content['ProductVersion']
+    return version.split('.')
+
+
+def _macos_arch(machine):
+    return {'PowerPC': 'ppc', 'Power_Macintosh': 'ppc'}.get(machine, machine)
+
+
+def get_build_platform():
+    """Return this platform's string for platform-specific distributions
+
+    XXX Currently this is the same as ``distutils.util.get_platform()``, but it
+    needs some hacks for Linux and macOS.
+    """
+    from sysconfig import get_platform
+
+    plat = get_platform()
+    if sys.platform == "darwin" and not plat.startswith('macosx-'):
+        try:
+            version = _macos_vers()
+            machine = os.uname()[4].replace(" ", "_")
+            return "macosx-%d.%d-%s" % (
+                int(version[0]),
+                int(version[1]),
+                _macos_arch(machine),
+            )
+        except ValueError:
+            # if someone is running a non-Mac darwin system, this will fall
+            # through to the default implementation
+            pass
+    return plat
+
+
+macosVersionString = re.compile(r"macosx-(\d+)\.(\d+)-(.*)")
+darwinVersionString = re.compile(r"darwin-(\d+)\.(\d+)\.(\d+)-(.*)")
+# XXX backward compat
+get_platform = get_build_platform
+
+
+def compatible_platforms(provided: str | None, required: str | None):
+    """Can code for the `provided` platform run on the `required` platform?
+
+    Returns true if either platform is ``None``, or the platforms are equal.
+
+    XXX Needs compatibility checks for Linux and other unixy OSes.
+    """
+    if provided is None or required is None or provided == required:
+        # easy case
+        return True
+
+    # macOS special cases
+    reqMac = macosVersionString.match(required)
+    if reqMac:
+        provMac = macosVersionString.match(provided)
+
+        # is this a Mac package?
+        if not provMac:
+            # this is backwards compatibility for packages built before
+            # setuptools 0.6. All packages built after this point will
+            # use the new macOS designation.
+            provDarwin = darwinVersionString.match(provided)
+            if provDarwin:
+                dversion = int(provDarwin.group(1))
+                macosversion = "%s.%s" % (reqMac.group(1), reqMac.group(2))
+                if (
+                    dversion == 7
+                    and macosversion >= "10.3"
+                    or dversion == 8
+                    and macosversion >= "10.4"
+                ):
+                    return True
+            # egg isn't macOS or legacy darwin
+            return False
+
+        # are they the same major version and machine type?
+        if provMac.group(1) != reqMac.group(1) or provMac.group(3) != reqMac.group(3):
+            return False
+
+        # is the required OS major update >= the provided one?
+        if int(provMac.group(2)) > int(reqMac.group(2)):
+            return False
+
+        return True
+
+    # XXX Linux and other platforms' special cases should go here
+    return False
+
+
+@overload
+def get_distribution(dist: _DistributionT) -> _DistributionT: ...
+@overload
+def get_distribution(dist: _PkgReqType) -> Distribution: ...
+def get_distribution(dist: Distribution | _PkgReqType) -> Distribution:
+    """Return a current distribution object for a Requirement or string"""
+    if isinstance(dist, str):
+        dist = Requirement.parse(dist)
+    if isinstance(dist, Requirement):
+        # Bad type narrowing, dist has to be a Requirement here, so get_provider has to return Distribution
+        dist = get_provider(dist)  # type: ignore[assignment]
+    if not isinstance(dist, Distribution):
+        raise TypeError("Expected str, Requirement, or Distribution", dist)
+    return dist
+
+
+def load_entry_point(dist: _EPDistType, group: str, name: str) -> _ResolvedEntryPoint:
+    """Return `name` entry point of `group` for `dist` or raise ImportError"""
+    return get_distribution(dist).load_entry_point(group, name)
+
+
+@overload
+def get_entry_map(
+    dist: _EPDistType, group: None = None
+) -> dict[str, dict[str, EntryPoint]]: ...
+@overload
+def get_entry_map(dist: _EPDistType, group: str) -> dict[str, EntryPoint]: ...
+def get_entry_map(dist: _EPDistType, group: str | None = None):
+    """Return the entry point map for `group`, or the full entry map"""
+    return get_distribution(dist).get_entry_map(group)
+
+
+def get_entry_info(dist: _EPDistType, group: str, name: str):
+    """Return the EntryPoint object for `group`+`name`, or ``None``"""
+    return get_distribution(dist).get_entry_info(group, name)
+
+
+class IMetadataProvider(Protocol):
+    def has_metadata(self, name: str) -> bool:
+        """Does the package's distribution contain the named metadata?"""
+
+    def get_metadata(self, name: str) -> str:
+        """The named metadata resource as a string"""
+
+    def get_metadata_lines(self, name: str) -> Iterator[str]:
+        """Yield named metadata resource as list of non-blank non-comment lines
+
+        Leading and trailing whitespace is stripped from each line, and lines
+        with ``#`` as the first non-blank character are omitted."""
+
+    def metadata_isdir(self, name: str) -> bool:
+        """Is the named metadata a directory?  (like ``os.path.isdir()``)"""
+
+    def metadata_listdir(self, name: str) -> list[str]:
+        """List of metadata names in the directory (like ``os.listdir()``)"""
+
+    def run_script(self, script_name: str, namespace: dict[str, Any]) -> None:
+        """Execute the named script in the supplied namespace dictionary"""
+
+
+class IResourceProvider(IMetadataProvider, Protocol):
+    """An object that provides access to package resources"""
+
+    def get_resource_filename(
+        self, manager: ResourceManager, resource_name: str
+    ) -> str:
+        """Return a true filesystem path for `resource_name`
+
+        `manager` must be a ``ResourceManager``"""
+
+    def get_resource_stream(
+        self, manager: ResourceManager, resource_name: str
+    ) -> _ResourceStream:
+        """Return a readable file-like object for `resource_name`
+
+        `manager` must be a ``ResourceManager``"""
+
+    def get_resource_string(
+        self, manager: ResourceManager, resource_name: str
+    ) -> bytes:
+        """Return the contents of `resource_name` as :obj:`bytes`
+
+        `manager` must be a ``ResourceManager``"""
+
+    def has_resource(self, resource_name: str) -> bool:
+        """Does the package contain the named resource?"""
+
+    def resource_isdir(self, resource_name: str) -> bool:
+        """Is the named resource a directory?  (like ``os.path.isdir()``)"""
+
+    def resource_listdir(self, resource_name: str) -> list[str]:
+        """List of resource names in the directory (like ``os.listdir()``)"""
+
+
+class WorkingSet:
+    """A collection of active distributions on sys.path (or a similar list)"""
+
+    def __init__(self, entries: Iterable[str] | None = None):
+        """Create working set from list of path entries (default=sys.path)"""
+        self.entries: list[str] = []
+        self.entry_keys = {}
+        self.by_key = {}
+        self.normalized_to_canonical_keys = {}
+        self.callbacks = []
+
+        if entries is None:
+            entries = sys.path
+
+        for entry in entries:
+            self.add_entry(entry)
+
+    @classmethod
+    def _build_master(cls):
+        """
+        Prepare the master working set.
+        """
+        ws = cls()
+        try:
+            from __main__ import __requires__
+        except ImportError:
+            # The main program does not list any requirements
+            return ws
+
+        # ensure the requirements are met
+        try:
+            ws.require(__requires__)
+        except VersionConflict:
+            return cls._build_from_requirements(__requires__)
+
+        return ws
+
+    @classmethod
+    def _build_from_requirements(cls, req_spec):
+        """
+        Build a working set from a requirement spec. Rewrites sys.path.
+        """
+        # try it without defaults already on sys.path
+        # by starting with an empty path
+        ws = cls([])
+        reqs = parse_requirements(req_spec)
+        dists = ws.resolve(reqs, Environment())
+        for dist in dists:
+            ws.add(dist)
+
+        # add any missing entries from sys.path
+        for entry in sys.path:
+            if entry not in ws.entries:
+                ws.add_entry(entry)
+
+        # then copy back to sys.path
+        sys.path[:] = ws.entries
+        return ws
+
+    def add_entry(self, entry: str):
+        """Add a path item to ``.entries``, finding any distributions on it
+
+        ``find_distributions(entry, True)`` is used to find distributions
+        corresponding to the path entry, and they are added.  `entry` is
+        always appended to ``.entries``, even if it is already present.
+        (This is because ``sys.path`` can contain the same value more than
+        once, and the ``.entries`` of the ``sys.path`` WorkingSet should always
+        equal ``sys.path``.)
+        """
+        self.entry_keys.setdefault(entry, [])
+        self.entries.append(entry)
+        for dist in find_distributions(entry, True):
+            self.add(dist, entry, False)
+
+    def __contains__(self, dist: Distribution) -> bool:
+        """True if `dist` is the active distribution for its project"""
+        return self.by_key.get(dist.key) == dist
+
+    def find(self, req: Requirement) -> Distribution | None:
+        """Find a distribution matching requirement `req`
+
+        If there is an active distribution for the requested project, this
+        returns it as long as it meets the version requirement specified by
+        `req`.  But, if there is an active distribution for the project and it
+        does *not* meet the `req` requirement, ``VersionConflict`` is raised.
+        If there is no active distribution for the requested project, ``None``
+        is returned.
+        """
+        dist = self.by_key.get(req.key)
+
+        if dist is None:
+            canonical_key = self.normalized_to_canonical_keys.get(req.key)
+
+            if canonical_key is not None:
+                req.key = canonical_key
+                dist = self.by_key.get(canonical_key)
+
+        if dist is not None and dist not in req:
+            # XXX add more info
+            raise VersionConflict(dist, req)
+        return dist
+
+    def iter_entry_points(self, group: str, name: str | None = None):
+        """Yield entry point objects from `group` matching `name`
+
+        If `name` is None, yields all entry points in `group` from all
+        distributions in the working set, otherwise only ones matching
+        both `group` and `name` are yielded (in distribution order).
+        """
+        return (
+            entry
+            for dist in self
+            for entry in dist.get_entry_map(group).values()
+            if name is None or name == entry.name
+        )
+
+    def run_script(self, requires: str, script_name: str):
+        """Locate distribution for `requires` and run `script_name` script"""
+        ns = sys._getframe(1).f_globals
+        name = ns['__name__']
+        ns.clear()
+        ns['__name__'] = name
+        self.require(requires)[0].run_script(script_name, ns)
+
+    def __iter__(self) -> Iterator[Distribution]:
+        """Yield distributions for non-duplicate projects in the working set
+
+        The yield order is the order in which the items' path entries were
+        added to the working set.
+        """
+        seen = set()
+        for item in self.entries:
+            if item not in self.entry_keys:
+                # workaround a cache issue
+                continue
+
+            for key in self.entry_keys[item]:
+                if key not in seen:
+                    seen.add(key)
+                    yield self.by_key[key]
+
+    def add(
+        self,
+        dist: Distribution,
+        entry: str | None = None,
+        insert: bool = True,
+        replace: bool = False,
+    ):
+        """Add `dist` to working set, associated with `entry`
+
+        If `entry` is unspecified, it defaults to the ``.location`` of `dist`.
+        On exit from this routine, `entry` is added to the end of the working
+        set's ``.entries`` (if it wasn't already present).
+
+        `dist` is only added to the working set if it's for a project that
+        doesn't already have a distribution in the set, unless `replace=True`.
+        If it's added, any callbacks registered with the ``subscribe()`` method
+        will be called.
+        """
+        if insert:
+            dist.insert_on(self.entries, entry, replace=replace)
+
+        if entry is None:
+            entry = dist.location
+        keys = self.entry_keys.setdefault(entry, [])
+        keys2 = self.entry_keys.setdefault(dist.location, [])
+        if not replace and dist.key in self.by_key:
+            # ignore hidden distros
+            return
+
+        self.by_key[dist.key] = dist
+        normalized_name = _packaging_utils.canonicalize_name(dist.key)
+        self.normalized_to_canonical_keys[normalized_name] = dist.key
+        if dist.key not in keys:
+            keys.append(dist.key)
+        if dist.key not in keys2:
+            keys2.append(dist.key)
+        self._added_new(dist)
+
+    @overload
+    def resolve(
+        self,
+        requirements: Iterable[Requirement],
+        env: Environment | None,
+        installer: _InstallerTypeT[_DistributionT],
+        replace_conflicting: bool = False,
+        extras: tuple[str, ...] | None = None,
+    ) -> list[_DistributionT]: ...
+    @overload
+    def resolve(
+        self,
+        requirements: Iterable[Requirement],
+        env: Environment | None = None,
+        *,
+        installer: _InstallerTypeT[_DistributionT],
+        replace_conflicting: bool = False,
+        extras: tuple[str, ...] | None = None,
+    ) -> list[_DistributionT]: ...
+    @overload
+    def resolve(
+        self,
+        requirements: Iterable[Requirement],
+        env: Environment | None = None,
+        installer: _InstallerType | None = None,
+        replace_conflicting: bool = False,
+        extras: tuple[str, ...] | None = None,
+    ) -> list[Distribution]: ...
+    def resolve(
+        self,
+        requirements: Iterable[Requirement],
+        env: Environment | None = None,
+        installer: _InstallerType | None | _InstallerTypeT[_DistributionT] = None,
+        replace_conflicting: bool = False,
+        extras: tuple[str, ...] | None = None,
+    ) -> list[Distribution] | list[_DistributionT]:
+        """List all distributions needed to (recursively) meet `requirements`
+
+        `requirements` must be a sequence of ``Requirement`` objects.  `env`,
+        if supplied, should be an ``Environment`` instance.  If
+        not supplied, it defaults to all distributions available within any
+        entry or distribution in the working set.  `installer`, if supplied,
+        will be invoked with each requirement that cannot be met by an
+        already-installed distribution; it should return a ``Distribution`` or
+        ``None``.
+
+        Unless `replace_conflicting=True`, raises a VersionConflict exception
+        if
+        any requirements are found on the path that have the correct name but
+        the wrong version.  Otherwise, if an `installer` is supplied it will be
+        invoked to obtain the correct version of the requirement and activate
+        it.
+
+        `extras` is a list of the extras to be used with these requirements.
+        This is important because extra requirements may look like `my_req;
+        extra = "my_extra"`, which would otherwise be interpreted as a purely
+        optional requirement.  Instead, we want to be able to assert that these
+        requirements are truly required.
+        """
+
+        # set up the stack
+        requirements = list(requirements)[::-1]
+        # set of processed requirements
+        processed = set()
+        # key -> dist
+        best = {}
+        to_activate = []
+
+        req_extras = _ReqExtras()
+
+        # Mapping of requirement to set of distributions that required it;
+        # useful for reporting info about conflicts.
+        required_by = collections.defaultdict(set)
+
+        while requirements:
+            # process dependencies breadth-first
+            req = requirements.pop(0)
+            if req in processed:
+                # Ignore cyclic or redundant dependencies
+                continue
+
+            if not req_extras.markers_pass(req, extras):
+                continue
+
+            dist = self._resolve_dist(
+                req, best, replace_conflicting, env, installer, required_by, to_activate
+            )
+
+            # push the new requirements onto the stack
+            new_requirements = dist.requires(req.extras)[::-1]
+            requirements.extend(new_requirements)
+
+            # Register the new requirements needed by req
+            for new_requirement in new_requirements:
+                required_by[new_requirement].add(req.project_name)
+                req_extras[new_requirement] = req.extras
+
+            processed.add(req)
+
+        # return list of distros to activate
+        return to_activate
+
+    def _resolve_dist(
+        self, req, best, replace_conflicting, env, installer, required_by, to_activate
+    ) -> Distribution:
+        dist = best.get(req.key)
+        if dist is None:
+            # Find the best distribution and add it to the map
+            dist = self.by_key.get(req.key)
+            if dist is None or (dist not in req and replace_conflicting):
+                ws = self
+                if env is None:
+                    if dist is None:
+                        env = Environment(self.entries)
+                    else:
+                        # Use an empty environment and workingset to avoid
+                        # any further conflicts with the conflicting
+                        # distribution
+                        env = Environment([])
+                        ws = WorkingSet([])
+                dist = best[req.key] = env.best_match(
+                    req, ws, installer, replace_conflicting=replace_conflicting
+                )
+                if dist is None:
+                    requirers = required_by.get(req, None)
+                    raise DistributionNotFound(req, requirers)
+            to_activate.append(dist)
+        if dist not in req:
+            # Oops, the "best" so far conflicts with a dependency
+            dependent_req = required_by[req]
+            raise VersionConflict(dist, req).with_context(dependent_req)
+        return dist
+
+    @overload
+    def find_plugins(
+        self,
+        plugin_env: Environment,
+        full_env: Environment | None,
+        installer: _InstallerTypeT[_DistributionT],
+        fallback: bool = True,
+    ) -> tuple[list[_DistributionT], dict[Distribution, Exception]]: ...
+    @overload
+    def find_plugins(
+        self,
+        plugin_env: Environment,
+        full_env: Environment | None = None,
+        *,
+        installer: _InstallerTypeT[_DistributionT],
+        fallback: bool = True,
+    ) -> tuple[list[_DistributionT], dict[Distribution, Exception]]: ...
+    @overload
+    def find_plugins(
+        self,
+        plugin_env: Environment,
+        full_env: Environment | None = None,
+        installer: _InstallerType | None = None,
+        fallback: bool = True,
+    ) -> tuple[list[Distribution], dict[Distribution, Exception]]: ...
+    def find_plugins(
+        self,
+        plugin_env: Environment,
+        full_env: Environment | None = None,
+        installer: _InstallerType | None | _InstallerTypeT[_DistributionT] = None,
+        fallback: bool = True,
+    ) -> tuple[
+        list[Distribution] | list[_DistributionT],
+        dict[Distribution, Exception],
+    ]:
+        """Find all activatable distributions in `plugin_env`
+
+        Example usage::
+
+            distributions, errors = working_set.find_plugins(
+                Environment(plugin_dirlist)
+            )
+            # add plugins+libs to sys.path
+            map(working_set.add, distributions)
+            # display errors
+            print('Could not load', errors)
+
+        The `plugin_env` should be an ``Environment`` instance that contains
+        only distributions that are in the project's "plugin directory" or
+        directories. The `full_env`, if supplied, should be an ``Environment``
+        contains all currently-available distributions.  If `full_env` is not
+        supplied, one is created automatically from the ``WorkingSet`` this
+        method is called on, which will typically mean that every directory on
+        ``sys.path`` will be scanned for distributions.
+
+        `installer` is a standard installer callback as used by the
+        ``resolve()`` method. The `fallback` flag indicates whether we should
+        attempt to resolve older versions of a plugin if the newest version
+        cannot be resolved.
+
+        This method returns a 2-tuple: (`distributions`, `error_info`), where
+        `distributions` is a list of the distributions found in `plugin_env`
+        that were loadable, along with any other distributions that are needed
+        to resolve their dependencies.  `error_info` is a dictionary mapping
+        unloadable plugin distributions to an exception instance describing the
+        error that occurred. Usually this will be a ``DistributionNotFound`` or
+        ``VersionConflict`` instance.
+        """
+
+        plugin_projects = list(plugin_env)
+        # scan project names in alphabetic order
+        plugin_projects.sort()
+
+        error_info: dict[Distribution, Exception] = {}
+        distributions: dict[Distribution, Exception | None] = {}
+
+        if full_env is None:
+            env = Environment(self.entries)
+            env += plugin_env
+        else:
+            env = full_env + plugin_env
+
+        shadow_set = self.__class__([])
+        # put all our entries in shadow_set
+        list(map(shadow_set.add, self))
+
+        for project_name in plugin_projects:
+            for dist in plugin_env[project_name]:
+                req = [dist.as_requirement()]
+
+                try:
+                    resolvees = shadow_set.resolve(req, env, installer)
+
+                except ResolutionError as v:
+                    # save error info
+                    error_info[dist] = v
+                    if fallback:
+                        # try the next older version of project
+                        continue
+                    else:
+                        # give up on this project, keep going
+                        break
+
+                else:
+                    list(map(shadow_set.add, resolvees))
+                    distributions.update(dict.fromkeys(resolvees))
+
+                    # success, no need to try any more versions of this project
+                    break
+
+        sorted_distributions = list(distributions)
+        sorted_distributions.sort()
+
+        return sorted_distributions, error_info
+
+    def require(self, *requirements: _NestedStr):
+        """Ensure that distributions matching `requirements` are activated
+
+        `requirements` must be a string or a (possibly-nested) sequence
+        thereof, specifying the distributions and versions required.  The
+        return value is a sequence of the distributions that needed to be
+        activated to fulfill the requirements; all relevant distributions are
+        included, even if they were already activated in this working set.
+        """
+        needed = self.resolve(parse_requirements(requirements))
+
+        for dist in needed:
+            self.add(dist)
+
+        return needed
+
+    def subscribe(
+        self, callback: Callable[[Distribution], object], existing: bool = True
+    ):
+        """Invoke `callback` for all distributions
+
+        If `existing=True` (default),
+        call on all existing ones, as well.
+        """
+        if callback in self.callbacks:
+            return
+        self.callbacks.append(callback)
+        if not existing:
+            return
+        for dist in self:
+            callback(dist)
+
+    def _added_new(self, dist):
+        for callback in self.callbacks:
+            callback(dist)
+
+    def __getstate__(self):
+        return (
+            self.entries[:],
+            self.entry_keys.copy(),
+            self.by_key.copy(),
+            self.normalized_to_canonical_keys.copy(),
+            self.callbacks[:],
+        )
+
+    def __setstate__(self, e_k_b_n_c):
+        entries, keys, by_key, normalized_to_canonical_keys, callbacks = e_k_b_n_c
+        self.entries = entries[:]
+        self.entry_keys = keys.copy()
+        self.by_key = by_key.copy()
+        self.normalized_to_canonical_keys = normalized_to_canonical_keys.copy()
+        self.callbacks = callbacks[:]
+
+
+class _ReqExtras(Dict["Requirement", Tuple[str, ...]]):
+    """
+    Map each requirement to the extras that demanded it.
+    """
+
+    def markers_pass(self, req: Requirement, extras: tuple[str, ...] | None = None):
+        """
+        Evaluate markers for req against each extra that
+        demanded it.
+
+        Return False if the req has a marker and fails
+        evaluation. Otherwise, return True.
+        """
+        extra_evals = (
+            req.marker.evaluate({'extra': extra})
+            for extra in self.get(req, ()) + (extras or (None,))
+        )
+        return not req.marker or any(extra_evals)
+
+
+class Environment:
+    """Searchable snapshot of distributions on a search path"""
+
+    def __init__(
+        self,
+        search_path: Iterable[str] | None = None,
+        platform: str | None = get_supported_platform(),
+        python: str | None = PY_MAJOR,
+    ):
+        """Snapshot distributions available on a search path
+
+        Any distributions found on `search_path` are added to the environment.
+        `search_path` should be a sequence of ``sys.path`` items.  If not
+        supplied, ``sys.path`` is used.
+
+        `platform` is an optional string specifying the name of the platform
+        that platform-specific distributions must be compatible with.  If
+        unspecified, it defaults to the current platform.  `python` is an
+        optional string naming the desired version of Python (e.g. ``'3.6'``);
+        it defaults to the current version.
+
+        You may explicitly set `platform` (and/or `python`) to ``None`` if you
+        wish to map *all* distributions, not just those compatible with the
+        running platform or Python version.
+        """
+        self._distmap = {}
+        self.platform = platform
+        self.python = python
+        self.scan(search_path)
+
+    def can_add(self, dist: Distribution):
+        """Is distribution `dist` acceptable for this environment?
+
+        The distribution must match the platform and python version
+        requirements specified when this environment was created, or False
+        is returned.
+        """
+        py_compat = (
+            self.python is None
+            or dist.py_version is None
+            or dist.py_version == self.python
+        )
+        return py_compat and compatible_platforms(dist.platform, self.platform)
+
+    def remove(self, dist: Distribution):
+        """Remove `dist` from the environment"""
+        self._distmap[dist.key].remove(dist)
+
+    def scan(self, search_path: Iterable[str] | None = None):
+        """Scan `search_path` for distributions usable in this environment
+
+        Any distributions found are added to the environment.
+        `search_path` should be a sequence of ``sys.path`` items.  If not
+        supplied, ``sys.path`` is used.  Only distributions conforming to
+        the platform/python version defined at initialization are added.
+        """
+        if search_path is None:
+            search_path = sys.path
+
+        for item in search_path:
+            for dist in find_distributions(item):
+                self.add(dist)
+
+    def __getitem__(self, project_name: str) -> list[Distribution]:
+        """Return a newest-to-oldest list of distributions for `project_name`
+
+        Uses case-insensitive `project_name` comparison, assuming all the
+        project's distributions use their project's name converted to all
+        lowercase as their key.
+
+        """
+        distribution_key = project_name.lower()
+        return self._distmap.get(distribution_key, [])
+
+    def add(self, dist: Distribution):
+        """Add `dist` if we ``can_add()`` it and it has not already been added"""
+        if self.can_add(dist) and dist.has_version():
+            dists = self._distmap.setdefault(dist.key, [])
+            if dist not in dists:
+                dists.append(dist)
+                dists.sort(key=operator.attrgetter('hashcmp'), reverse=True)
+
+    @overload
+    def best_match(
+        self,
+        req: Requirement,
+        working_set: WorkingSet,
+        installer: _InstallerTypeT[_DistributionT],
+        replace_conflicting: bool = False,
+    ) -> _DistributionT: ...
+    @overload
+    def best_match(
+        self,
+        req: Requirement,
+        working_set: WorkingSet,
+        installer: _InstallerType | None = None,
+        replace_conflicting: bool = False,
+    ) -> Distribution | None: ...
+    def best_match(
+        self,
+        req: Requirement,
+        working_set: WorkingSet,
+        installer: _InstallerType | None | _InstallerTypeT[_DistributionT] = None,
+        replace_conflicting: bool = False,
+    ) -> Distribution | None:
+        """Find distribution best matching `req` and usable on `working_set`
+
+        This calls the ``find(req)`` method of the `working_set` to see if a
+        suitable distribution is already active.  (This may raise
+        ``VersionConflict`` if an unsuitable version of the project is already
+        active in the specified `working_set`.)  If a suitable distribution
+        isn't active, this method returns the newest distribution in the
+        environment that meets the ``Requirement`` in `req`.  If no suitable
+        distribution is found, and `installer` is supplied, then the result of
+        calling the environment's ``obtain(req, installer)`` method will be
+        returned.
+        """
+        try:
+            dist = working_set.find(req)
+        except VersionConflict:
+            if not replace_conflicting:
+                raise
+            dist = None
+        if dist is not None:
+            return dist
+        for dist in self[req.key]:
+            if dist in req:
+                return dist
+        # try to download/install
+        return self.obtain(req, installer)
+
+    @overload
+    def obtain(
+        self,
+        requirement: Requirement,
+        installer: _InstallerTypeT[_DistributionT],
+    ) -> _DistributionT: ...
+    @overload
+    def obtain(
+        self,
+        requirement: Requirement,
+        installer: Callable[[Requirement], None] | None = None,
+    ) -> None: ...
+    @overload
+    def obtain(
+        self,
+        requirement: Requirement,
+        installer: _InstallerType | None = None,
+    ) -> Distribution | None: ...
+    def obtain(
+        self,
+        requirement: Requirement,
+        installer: Callable[[Requirement], None]
+        | _InstallerType
+        | None
+        | _InstallerTypeT[_DistributionT] = None,
+    ) -> Distribution | None:
+        """Obtain a distribution matching `requirement` (e.g. via download)
+
+        Obtain a distro that matches requirement (e.g. via download).  In the
+        base ``Environment`` class, this routine just returns
+        ``installer(requirement)``, unless `installer` is None, in which case
+        None is returned instead.  This method is a hook that allows subclasses
+        to attempt other ways of obtaining a distribution before falling back
+        to the `installer` argument."""
+        return installer(requirement) if installer else None
+
+    def __iter__(self) -> Iterator[str]:
+        """Yield the unique project names of the available distributions"""
+        for key in self._distmap.keys():
+            if self[key]:
+                yield key
+
+    def __iadd__(self, other: Distribution | Environment):
+        """In-place addition of a distribution or environment"""
+        if isinstance(other, Distribution):
+            self.add(other)
+        elif isinstance(other, Environment):
+            for project in other:
+                for dist in other[project]:
+                    self.add(dist)
+        else:
+            raise TypeError("Can't add %r to environment" % (other,))
+        return self
+
+    def __add__(self, other: Distribution | Environment):
+        """Add an environment or distribution to an environment"""
+        new = self.__class__([], platform=None, python=None)
+        for env in self, other:
+            new += env
+        return new
+
+
+# XXX backward compatibility
+AvailableDistributions = Environment
+
+
+class ExtractionError(RuntimeError):
+    """An error occurred extracting a resource
+
+    The following attributes are available from instances of this exception:
+
+    manager
+        The resource manager that raised this exception
+
+    cache_path
+        The base directory for resource extraction
+
+    original_error
+        The exception instance that caused extraction to fail
+    """
+
+    manager: ResourceManager
+    cache_path: str
+    original_error: BaseException | None
+
+
+class ResourceManager:
+    """Manage resource extraction and packages"""
+
+    extraction_path: str | None = None
+
+    def __init__(self):
+        self.cached_files = {}
+
+    def resource_exists(self, package_or_requirement: _PkgReqType, resource_name: str):
+        """Does the named resource exist?"""
+        return get_provider(package_or_requirement).has_resource(resource_name)
+
+    def resource_isdir(self, package_or_requirement: _PkgReqType, resource_name: str):
+        """Is the named resource an existing directory?"""
+        return get_provider(package_or_requirement).resource_isdir(resource_name)
+
+    def resource_filename(
+        self, package_or_requirement: _PkgReqType, resource_name: str
+    ):
+        """Return a true filesystem path for specified resource"""
+        return get_provider(package_or_requirement).get_resource_filename(
+            self, resource_name
+        )
+
+    def resource_stream(self, package_or_requirement: _PkgReqType, resource_name: str):
+        """Return a readable file-like object for specified resource"""
+        return get_provider(package_or_requirement).get_resource_stream(
+            self, resource_name
+        )
+
+    def resource_string(
+        self, package_or_requirement: _PkgReqType, resource_name: str
+    ) -> bytes:
+        """Return specified resource as :obj:`bytes`"""
+        return get_provider(package_or_requirement).get_resource_string(
+            self, resource_name
+        )
+
+    def resource_listdir(self, package_or_requirement: _PkgReqType, resource_name: str):
+        """List the contents of the named resource directory"""
+        return get_provider(package_or_requirement).resource_listdir(resource_name)
+
+    def extraction_error(self) -> NoReturn:
+        """Give an error message for problems extracting file(s)"""
+
+        old_exc = sys.exc_info()[1]
+        cache_path = self.extraction_path or get_default_cache()
+
+        tmpl = textwrap.dedent(
+            """
+            Can't extract file(s) to egg cache
+
+            The following error occurred while trying to extract file(s)
+            to the Python egg cache:
+
+              {old_exc}
+
+            The Python egg cache directory is currently set to:
+
+              {cache_path}
+
+            Perhaps your account does not have write access to this directory?
+            You can change the cache directory by setting the PYTHON_EGG_CACHE
+            environment variable to point to an accessible directory.
+            """
+        ).lstrip()
+        err = ExtractionError(tmpl.format(**locals()))
+        err.manager = self
+        err.cache_path = cache_path
+        err.original_error = old_exc
+        raise err
+
+    def get_cache_path(self, archive_name: str, names: Iterable[StrPath] = ()):
+        """Return absolute location in cache for `archive_name` and `names`
+
+        The parent directory of the resulting path will be created if it does
+        not already exist.  `archive_name` should be the base filename of the
+        enclosing egg (which may not be the name of the enclosing zipfile!),
+        including its ".egg" extension.  `names`, if provided, should be a
+        sequence of path name parts "under" the egg's extraction location.
+
+        This method should only be called by resource providers that need to
+        obtain an extraction location, and only for names they intend to
+        extract, as it tracks the generated names for possible cleanup later.
+        """
+        extract_path = self.extraction_path or get_default_cache()
+        target_path = os.path.join(extract_path, archive_name + '-tmp', *names)
+        try:
+            _bypass_ensure_directory(target_path)
+        except Exception:
+            self.extraction_error()
+
+        self._warn_unsafe_extraction_path(extract_path)
+
+        self.cached_files[target_path] = True
+        return target_path
+
+    @staticmethod
+    def _warn_unsafe_extraction_path(path):
+        """
+        If the default extraction path is overridden and set to an insecure
+        location, such as /tmp, it opens up an opportunity for an attacker to
+        replace an extracted file with an unauthorized payload. Warn the user
+        if a known insecure location is used.
+
+        See Distribute #375 for more details.
+        """
+        if os.name == 'nt' and not path.startswith(os.environ['windir']):
+            # On Windows, permissions are generally restrictive by default
+            #  and temp directories are not writable by other users, so
+            #  bypass the warning.
+            return
+        mode = os.stat(path).st_mode
+        if mode & stat.S_IWOTH or mode & stat.S_IWGRP:
+            msg = (
+                "Extraction path is writable by group/others "
+                "and vulnerable to attack when "
+                "used with get_resource_filename ({path}). "
+                "Consider a more secure "
+                "location (set with .set_extraction_path or the "
+                "PYTHON_EGG_CACHE environment variable)."
+            ).format(**locals())
+            warnings.warn(msg, UserWarning)
+
+    def postprocess(self, tempname: StrOrBytesPath, filename: StrOrBytesPath):
+        """Perform any platform-specific postprocessing of `tempname`
+
+        This is where Mac header rewrites should be done; other platforms don't
+        have anything special they should do.
+
+        Resource providers should call this method ONLY after successfully
+        extracting a compressed resource.  They must NOT call it on resources
+        that are already in the filesystem.
+
+        `tempname` is the current (temporary) name of the file, and `filename`
+        is the name it will be renamed to by the caller after this routine
+        returns.
+        """
+
+        if os.name == 'posix':
+            # Make the resource executable
+            mode = ((os.stat(tempname).st_mode) | 0o555) & 0o7777
+            os.chmod(tempname, mode)
+
+    def set_extraction_path(self, path: str):
+        """Set the base path where resources will be extracted to, if needed.
+
+        If you do not call this routine before any extractions take place, the
+        path defaults to the return value of ``get_default_cache()``.  (Which
+        is based on the ``PYTHON_EGG_CACHE`` environment variable, with various
+        platform-specific fallbacks.  See that routine's documentation for more
+        details.)
+
+        Resources are extracted to subdirectories of this path based upon
+        information given by the ``IResourceProvider``.  You may set this to a
+        temporary directory, but then you must call ``cleanup_resources()`` to
+        delete the extracted files when done.  There is no guarantee that
+        ``cleanup_resources()`` will be able to remove all extracted files.
+
+        (Note: you may not change the extraction path for a given resource
+        manager once resources have been extracted, unless you first call
+        ``cleanup_resources()``.)
+        """
+        if self.cached_files:
+            raise ValueError("Can't change extraction path, files already extracted")
+
+        self.extraction_path = path
+
+    def cleanup_resources(self, force: bool = False) -> list[str]:
+        """
+        Delete all extracted resource files and directories, returning a list
+        of the file and directory names that could not be successfully removed.
+        This function does not have any concurrency protection, so it should
+        generally only be called when the extraction path is a temporary
+        directory exclusive to a single process.  This method is not
+        automatically called; you must call it explicitly or register it as an
+        ``atexit`` function if you wish to ensure cleanup of a temporary
+        directory used for extractions.
+        """
+        # XXX
+        return []
+
+
+def get_default_cache() -> str:
+    """
+    Return the ``PYTHON_EGG_CACHE`` environment variable
+    or a platform-relevant user cache dir for an app
+    named "Python-Eggs".
+    """
+    return os.environ.get('PYTHON_EGG_CACHE') or _user_cache_dir(appname='Python-Eggs')
+
+
+def safe_name(name: str):
+    """Convert an arbitrary string to a standard distribution name
+
+    Any runs of non-alphanumeric/. characters are replaced with a single '-'.
+    """
+    return re.sub('[^A-Za-z0-9.]+', '-', name)
+
+
+def safe_version(version: str):
+    """
+    Convert an arbitrary string to a standard version string
+    """
+    try:
+        # normalize the version
+        return str(_packaging_version.Version(version))
+    except _packaging_version.InvalidVersion:
+        version = version.replace(' ', '.')
+        return re.sub('[^A-Za-z0-9.]+', '-', version)
+
+
+def _forgiving_version(version):
+    """Fallback when ``safe_version`` is not safe enough
+    >>> parse_version(_forgiving_version('0.23ubuntu1'))
+    
+    >>> parse_version(_forgiving_version('0.23-'))
+    
+    >>> parse_version(_forgiving_version('0.-_'))
+    
+    >>> parse_version(_forgiving_version('42.+?1'))
+    
+    >>> parse_version(_forgiving_version('hello world'))
+    
+    """
+    version = version.replace(' ', '.')
+    match = _PEP440_FALLBACK.search(version)
+    if match:
+        safe = match["safe"]
+        rest = version[len(safe) :]
+    else:
+        safe = "0"
+        rest = version
+    local = f"sanitized.{_safe_segment(rest)}".strip(".")
+    return f"{safe}.dev0+{local}"
+
+
+def _safe_segment(segment):
+    """Convert an arbitrary string into a safe segment"""
+    segment = re.sub('[^A-Za-z0-9.]+', '-', segment)
+    segment = re.sub('-[^A-Za-z0-9]+', '-', segment)
+    return re.sub(r'\.[^A-Za-z0-9]+', '.', segment).strip(".-")
+
+
+def safe_extra(extra: str):
+    """Convert an arbitrary string to a standard 'extra' name
+
+    Any runs of non-alphanumeric characters are replaced with a single '_',
+    and the result is always lowercased.
+    """
+    return re.sub('[^A-Za-z0-9.-]+', '_', extra).lower()
+
+
+def to_filename(name: str):
+    """Convert a project or version name to its filename-escaped form
+
+    Any '-' characters are currently replaced with '_'.
+    """
+    return name.replace('-', '_')
+
+
+def invalid_marker(text: str):
+    """
+    Validate text as a PEP 508 environment marker; return an exception
+    if invalid or False otherwise.
+    """
+    try:
+        evaluate_marker(text)
+    except SyntaxError as e:
+        e.filename = None
+        e.lineno = None
+        return e
+    return False
+
+
+def evaluate_marker(text: str, extra: str | None = None) -> bool:
+    """
+    Evaluate a PEP 508 environment marker.
+    Return a boolean indicating the marker result in this environment.
+    Raise SyntaxError if marker is invalid.
+
+    This implementation uses the 'pyparsing' module.
+    """
+    try:
+        marker = _packaging_markers.Marker(text)
+        return marker.evaluate()
+    except _packaging_markers.InvalidMarker as e:
+        raise SyntaxError(e) from e
+
+
+class NullProvider:
+    """Try to implement resources and metadata for arbitrary PEP 302 loaders"""
+
+    egg_name: str | None = None
+    egg_info: str | None = None
+    loader: _LoaderProtocol | None = None
+
+    def __init__(self, module: _ModuleLike):
+        self.loader = getattr(module, '__loader__', None)
+        self.module_path = os.path.dirname(getattr(module, '__file__', ''))
+
+    def get_resource_filename(self, manager: ResourceManager, resource_name: str):
+        return self._fn(self.module_path, resource_name)
+
+    def get_resource_stream(self, manager: ResourceManager, resource_name: str):
+        return io.BytesIO(self.get_resource_string(manager, resource_name))
+
+    def get_resource_string(
+        self, manager: ResourceManager, resource_name: str
+    ) -> bytes:
+        return self._get(self._fn(self.module_path, resource_name))
+
+    def has_resource(self, resource_name: str):
+        return self._has(self._fn(self.module_path, resource_name))
+
+    def _get_metadata_path(self, name):
+        return self._fn(self.egg_info, name)
+
+    def has_metadata(self, name: str) -> bool:
+        if not self.egg_info:
+            return False
+
+        path = self._get_metadata_path(name)
+        return self._has(path)
+
+    def get_metadata(self, name: str):
+        if not self.egg_info:
+            return ""
+        path = self._get_metadata_path(name)
+        value = self._get(path)
+        try:
+            return value.decode('utf-8')
+        except UnicodeDecodeError as exc:
+            # Include the path in the error message to simplify
+            # troubleshooting, and without changing the exception type.
+            exc.reason += ' in {} file at path: {}'.format(name, path)
+            raise
+
+    def get_metadata_lines(self, name: str) -> Iterator[str]:
+        return yield_lines(self.get_metadata(name))
+
+    def resource_isdir(self, resource_name: str):
+        return self._isdir(self._fn(self.module_path, resource_name))
+
+    def metadata_isdir(self, name: str) -> bool:
+        return bool(self.egg_info and self._isdir(self._fn(self.egg_info, name)))
+
+    def resource_listdir(self, resource_name: str):
+        return self._listdir(self._fn(self.module_path, resource_name))
+
+    def metadata_listdir(self, name: str) -> list[str]:
+        if self.egg_info:
+            return self._listdir(self._fn(self.egg_info, name))
+        return []
+
+    def run_script(self, script_name: str, namespace: dict[str, Any]):
+        script = 'scripts/' + script_name
+        if not self.has_metadata(script):
+            raise ResolutionError(
+                "Script {script!r} not found in metadata at {self.egg_info!r}".format(
+                    **locals()
+                ),
+            )
+
+        script_text = self.get_metadata(script).replace('\r\n', '\n')
+        script_text = script_text.replace('\r', '\n')
+        script_filename = self._fn(self.egg_info, script)
+        namespace['__file__'] = script_filename
+        if os.path.exists(script_filename):
+            source = _read_utf8_with_fallback(script_filename)
+            code = compile(source, script_filename, 'exec')
+            exec(code, namespace, namespace)
+        else:
+            from linecache import cache
+
+            cache[script_filename] = (
+                len(script_text),
+                0,
+                script_text.split('\n'),
+                script_filename,
+            )
+            script_code = compile(script_text, script_filename, 'exec')
+            exec(script_code, namespace, namespace)
+
+    def _has(self, path) -> bool:
+        raise NotImplementedError(
+            "Can't perform this operation for unregistered loader type"
+        )
+
+    def _isdir(self, path) -> bool:
+        raise NotImplementedError(
+            "Can't perform this operation for unregistered loader type"
+        )
+
+    def _listdir(self, path) -> list[str]:
+        raise NotImplementedError(
+            "Can't perform this operation for unregistered loader type"
+        )
+
+    def _fn(self, base: str | None, resource_name: str):
+        if base is None:
+            raise TypeError(
+                "`base` parameter in `_fn` is `None`. Either override this method or check the parameter first."
+            )
+        self._validate_resource_path(resource_name)
+        if resource_name:
+            return os.path.join(base, *resource_name.split('/'))
+        return base
+
+    @staticmethod
+    def _validate_resource_path(path):
+        """
+        Validate the resource paths according to the docs.
+        https://setuptools.pypa.io/en/latest/pkg_resources.html#basic-resource-access
+
+        >>> warned = getfixture('recwarn')
+        >>> warnings.simplefilter('always')
+        >>> vrp = NullProvider._validate_resource_path
+        >>> vrp('foo/bar.txt')
+        >>> bool(warned)
+        False
+        >>> vrp('../foo/bar.txt')
+        >>> bool(warned)
+        True
+        >>> warned.clear()
+        >>> vrp('/foo/bar.txt')
+        >>> bool(warned)
+        True
+        >>> vrp('foo/../../bar.txt')
+        >>> bool(warned)
+        True
+        >>> warned.clear()
+        >>> vrp('foo/f../bar.txt')
+        >>> bool(warned)
+        False
+
+        Windows path separators are straight-up disallowed.
+        >>> vrp(r'\\foo/bar.txt')
+        Traceback (most recent call last):
+        ...
+        ValueError: Use of .. or absolute path in a resource path \
+is not allowed.
+
+        >>> vrp(r'C:\\foo/bar.txt')
+        Traceback (most recent call last):
+        ...
+        ValueError: Use of .. or absolute path in a resource path \
+is not allowed.
+
+        Blank values are allowed
+
+        >>> vrp('')
+        >>> bool(warned)
+        False
+
+        Non-string values are not.
+
+        >>> vrp(None)
+        Traceback (most recent call last):
+        ...
+        AttributeError: ...
+        """
+        invalid = (
+            os.path.pardir in path.split(posixpath.sep)
+            or posixpath.isabs(path)
+            or ntpath.isabs(path)
+            or path.startswith("\\")
+        )
+        if not invalid:
+            return
+
+        msg = "Use of .. or absolute path in a resource path is not allowed."
+
+        # Aggressively disallow Windows absolute paths
+        if (path.startswith("\\") or ntpath.isabs(path)) and not posixpath.isabs(path):
+            raise ValueError(msg)
+
+        # for compatibility, warn; in future
+        # raise ValueError(msg)
+        issue_warning(
+            msg[:-1] + " and will raise exceptions in a future release.",
+            DeprecationWarning,
+        )
+
+    def _get(self, path) -> bytes:
+        if hasattr(self.loader, 'get_data') and self.loader:
+            # Already checked get_data exists
+            return self.loader.get_data(path)  # type: ignore[attr-defined]
+        raise NotImplementedError(
+            "Can't perform this operation for loaders without 'get_data()'"
+        )
+
+
+register_loader_type(object, NullProvider)
+
+
+def _parents(path):
+    """
+    yield all parents of path including path
+    """
+    last = None
+    while path != last:
+        yield path
+        last = path
+        path, _ = os.path.split(path)
+
+
+class EggProvider(NullProvider):
+    """Provider based on a virtual filesystem"""
+
+    def __init__(self, module: _ModuleLike):
+        super().__init__(module)
+        self._setup_prefix()
+
+    def _setup_prefix(self):
+        # Assume that metadata may be nested inside a "basket"
+        # of multiple eggs and use module_path instead of .archive.
+        eggs = filter(_is_egg_path, _parents(self.module_path))
+        egg = next(eggs, None)
+        egg and self._set_egg(egg)
+
+    def _set_egg(self, path: str):
+        self.egg_name = os.path.basename(path)
+        self.egg_info = os.path.join(path, 'EGG-INFO')
+        self.egg_root = path
+
+
+class DefaultProvider(EggProvider):
+    """Provides access to package resources in the filesystem"""
+
+    def _has(self, path) -> bool:
+        return os.path.exists(path)
+
+    def _isdir(self, path) -> bool:
+        return os.path.isdir(path)
+
+    def _listdir(self, path):
+        return os.listdir(path)
+
+    def get_resource_stream(self, manager: object, resource_name: str):
+        return open(self._fn(self.module_path, resource_name), 'rb')
+
+    def _get(self, path) -> bytes:
+        with open(path, 'rb') as stream:
+            return stream.read()
+
+    @classmethod
+    def _register(cls):
+        loader_names = (
+            'SourceFileLoader',
+            'SourcelessFileLoader',
+        )
+        for name in loader_names:
+            loader_cls = getattr(importlib.machinery, name, type(None))
+            register_loader_type(loader_cls, cls)
+
+
+DefaultProvider._register()
+
+
+class EmptyProvider(NullProvider):
+    """Provider that returns nothing for all requests"""
+
+    # A special case, we don't want all Providers inheriting from NullProvider to have a potentially None module_path
+    module_path: str | None = None  # type: ignore[assignment]
+
+    _isdir = _has = lambda self, path: False
+
+    def _get(self, path) -> bytes:
+        return b''
+
+    def _listdir(self, path):
+        return []
+
+    def __init__(self):
+        pass
+
+
+empty_provider = EmptyProvider()
+
+
+class ZipManifests(Dict[str, "MemoizedZipManifests.manifest_mod"]):
+    """
+    zip manifest builder
+    """
+
+    # `path` could be `StrPath | IO[bytes]` but that violates the LSP for `MemoizedZipManifests.load`
+    @classmethod
+    def build(cls, path: str):
+        """
+        Build a dictionary similar to the zipimport directory
+        caches, except instead of tuples, store ZipInfo objects.
+
+        Use a platform-specific path separator (os.sep) for the path keys
+        for compatibility with pypy on Windows.
+        """
+        with zipfile.ZipFile(path) as zfile:
+            items = (
+                (
+                    name.replace('/', os.sep),
+                    zfile.getinfo(name),
+                )
+                for name in zfile.namelist()
+            )
+            return dict(items)
+
+    load = build
+
+
+class MemoizedZipManifests(ZipManifests):
+    """
+    Memoized zipfile manifests.
+    """
+
+    class manifest_mod(NamedTuple):
+        manifest: dict[str, zipfile.ZipInfo]
+        mtime: float
+
+    def load(self, path: str) -> dict[str, zipfile.ZipInfo]:  # type: ignore[override] # ZipManifests.load is a classmethod
+        """
+        Load a manifest at path or return a suitable manifest already loaded.
+        """
+        path = os.path.normpath(path)
+        mtime = os.stat(path).st_mtime
+
+        if path not in self or self[path].mtime != mtime:
+            manifest = self.build(path)
+            self[path] = self.manifest_mod(manifest, mtime)
+
+        return self[path].manifest
+
+
+class ZipProvider(EggProvider):
+    """Resource support for zips and eggs"""
+
+    eagers: list[str] | None = None
+    _zip_manifests = MemoizedZipManifests()
+    # ZipProvider's loader should always be a zipimporter or equivalent
+    loader: zipimport.zipimporter
+
+    def __init__(self, module: _ZipLoaderModule):
+        super().__init__(module)
+        self.zip_pre = self.loader.archive + os.sep
+
+    def _zipinfo_name(self, fspath):
+        # Convert a virtual filename (full path to file) into a zipfile subpath
+        # usable with the zipimport directory cache for our target archive
+        fspath = fspath.rstrip(os.sep)
+        if fspath == self.loader.archive:
+            return ''
+        if fspath.startswith(self.zip_pre):
+            return fspath[len(self.zip_pre) :]
+        raise AssertionError("%s is not a subpath of %s" % (fspath, self.zip_pre))
+
+    def _parts(self, zip_path):
+        # Convert a zipfile subpath into an egg-relative path part list.
+        # pseudo-fs path
+        fspath = self.zip_pre + zip_path
+        if fspath.startswith(self.egg_root + os.sep):
+            return fspath[len(self.egg_root) + 1 :].split(os.sep)
+        raise AssertionError("%s is not a subpath of %s" % (fspath, self.egg_root))
+
+    @property
+    def zipinfo(self):
+        return self._zip_manifests.load(self.loader.archive)
+
+    def get_resource_filename(self, manager: ResourceManager, resource_name: str):
+        if not self.egg_name:
+            raise NotImplementedError(
+                "resource_filename() only supported for .egg, not .zip"
+            )
+        # no need to lock for extraction, since we use temp names
+        zip_path = self._resource_to_zip(resource_name)
+        eagers = self._get_eager_resources()
+        if '/'.join(self._parts(zip_path)) in eagers:
+            for name in eagers:
+                self._extract_resource(manager, self._eager_to_zip(name))
+        return self._extract_resource(manager, zip_path)
+
+    @staticmethod
+    def _get_date_and_size(zip_stat):
+        size = zip_stat.file_size
+        # ymdhms+wday, yday, dst
+        date_time = zip_stat.date_time + (0, 0, -1)
+        # 1980 offset already done
+        timestamp = time.mktime(date_time)
+        return timestamp, size
+
+    # FIXME: 'ZipProvider._extract_resource' is too complex (12)
+    def _extract_resource(self, manager: ResourceManager, zip_path) -> str:  # noqa: C901
+        if zip_path in self._index():
+            for name in self._index()[zip_path]:
+                last = self._extract_resource(manager, os.path.join(zip_path, name))
+            # return the extracted directory name
+            return os.path.dirname(last)
+
+        timestamp, size = self._get_date_and_size(self.zipinfo[zip_path])
+
+        if not WRITE_SUPPORT:
+            raise OSError(
+                '"os.rename" and "os.unlink" are not supported on this platform'
+            )
+        try:
+            if not self.egg_name:
+                raise OSError(
+                    '"egg_name" is empty. This likely means no egg could be found from the "module_path".'
+                )
+            real_path = manager.get_cache_path(self.egg_name, self._parts(zip_path))
+
+            if self._is_current(real_path, zip_path):
+                return real_path
+
+            outf, tmpnam = _mkstemp(
+                ".$extract",
+                dir=os.path.dirname(real_path),
+            )
+            os.write(outf, self.loader.get_data(zip_path))
+            os.close(outf)
+            utime(tmpnam, (timestamp, timestamp))
+            manager.postprocess(tmpnam, real_path)
+
+            try:
+                rename(tmpnam, real_path)
+
+            except OSError:
+                if os.path.isfile(real_path):
+                    if self._is_current(real_path, zip_path):
+                        # the file became current since it was checked above,
+                        #  so proceed.
+                        return real_path
+                    # Windows, del old file and retry
+                    elif os.name == 'nt':
+                        unlink(real_path)
+                        rename(tmpnam, real_path)
+                        return real_path
+                raise
+
+        except OSError:
+            # report a user-friendly error
+            manager.extraction_error()
+
+        return real_path
+
+    def _is_current(self, file_path, zip_path):
+        """
+        Return True if the file_path is current for this zip_path
+        """
+        timestamp, size = self._get_date_and_size(self.zipinfo[zip_path])
+        if not os.path.isfile(file_path):
+            return False
+        stat = os.stat(file_path)
+        if stat.st_size != size or stat.st_mtime != timestamp:
+            return False
+        # check that the contents match
+        zip_contents = self.loader.get_data(zip_path)
+        with open(file_path, 'rb') as f:
+            file_contents = f.read()
+        return zip_contents == file_contents
+
+    def _get_eager_resources(self):
+        if self.eagers is None:
+            eagers = []
+            for name in ('native_libs.txt', 'eager_resources.txt'):
+                if self.has_metadata(name):
+                    eagers.extend(self.get_metadata_lines(name))
+            self.eagers = eagers
+        return self.eagers
+
+    def _index(self):
+        try:
+            return self._dirindex
+        except AttributeError:
+            ind = {}
+            for path in self.zipinfo:
+                parts = path.split(os.sep)
+                while parts:
+                    parent = os.sep.join(parts[:-1])
+                    if parent in ind:
+                        ind[parent].append(parts[-1])
+                        break
+                    else:
+                        ind[parent] = [parts.pop()]
+            self._dirindex = ind
+            return ind
+
+    def _has(self, fspath) -> bool:
+        zip_path = self._zipinfo_name(fspath)
+        return zip_path in self.zipinfo or zip_path in self._index()
+
+    def _isdir(self, fspath) -> bool:
+        return self._zipinfo_name(fspath) in self._index()
+
+    def _listdir(self, fspath):
+        return list(self._index().get(self._zipinfo_name(fspath), ()))
+
+    def _eager_to_zip(self, resource_name: str):
+        return self._zipinfo_name(self._fn(self.egg_root, resource_name))
+
+    def _resource_to_zip(self, resource_name: str):
+        return self._zipinfo_name(self._fn(self.module_path, resource_name))
+
+
+register_loader_type(zipimport.zipimporter, ZipProvider)
+
+
+class FileMetadata(EmptyProvider):
+    """Metadata handler for standalone PKG-INFO files
+
+    Usage::
+
+        metadata = FileMetadata("/path/to/PKG-INFO")
+
+    This provider rejects all data and metadata requests except for PKG-INFO,
+    which is treated as existing, and will be the contents of the file at
+    the provided location.
+    """
+
+    def __init__(self, path: StrPath):
+        self.path = path
+
+    def _get_metadata_path(self, name):
+        return self.path
+
+    def has_metadata(self, name: str) -> bool:
+        return name == 'PKG-INFO' and os.path.isfile(self.path)
+
+    def get_metadata(self, name: str):
+        if name != 'PKG-INFO':
+            raise KeyError("No metadata except PKG-INFO is available")
+
+        with open(self.path, encoding='utf-8', errors="replace") as f:
+            metadata = f.read()
+        self._warn_on_replacement(metadata)
+        return metadata
+
+    def _warn_on_replacement(self, metadata):
+        replacement_char = '�'
+        if replacement_char in metadata:
+            tmpl = "{self.path} could not be properly decoded in UTF-8"
+            msg = tmpl.format(**locals())
+            warnings.warn(msg)
+
+    def get_metadata_lines(self, name: str) -> Iterator[str]:
+        return yield_lines(self.get_metadata(name))
+
+
+class PathMetadata(DefaultProvider):
+    """Metadata provider for egg directories
+
+    Usage::
+
+        # Development eggs:
+
+        egg_info = "/path/to/PackageName.egg-info"
+        base_dir = os.path.dirname(egg_info)
+        metadata = PathMetadata(base_dir, egg_info)
+        dist_name = os.path.splitext(os.path.basename(egg_info))[0]
+        dist = Distribution(basedir, project_name=dist_name, metadata=metadata)
+
+        # Unpacked egg directories:
+
+        egg_path = "/path/to/PackageName-ver-pyver-etc.egg"
+        metadata = PathMetadata(egg_path, os.path.join(egg_path,'EGG-INFO'))
+        dist = Distribution.from_filename(egg_path, metadata=metadata)
+    """
+
+    def __init__(self, path: str, egg_info: str):
+        self.module_path = path
+        self.egg_info = egg_info
+
+
+class EggMetadata(ZipProvider):
+    """Metadata provider for .egg files"""
+
+    def __init__(self, importer: zipimport.zipimporter):
+        """Create a metadata provider from a zipimporter"""
+
+        self.zip_pre = importer.archive + os.sep
+        self.loader = importer
+        if importer.prefix:
+            self.module_path = os.path.join(importer.archive, importer.prefix)
+        else:
+            self.module_path = importer.archive
+        self._setup_prefix()
+
+
+_distribution_finders: dict[type, _DistFinderType[Any]] = _declare_state(
+    'dict', '_distribution_finders', {}
+)
+
+
+def register_finder(importer_type: type[_T], distribution_finder: _DistFinderType[_T]):
+    """Register `distribution_finder` to find distributions in sys.path items
+
+    `importer_type` is the type or class of a PEP 302 "Importer" (sys.path item
+    handler), and `distribution_finder` is a callable that, passed a path
+    item and the importer instance, yields ``Distribution`` instances found on
+    that path item.  See ``pkg_resources.find_on_path`` for an example."""
+    _distribution_finders[importer_type] = distribution_finder
+
+
+def find_distributions(path_item: str, only: bool = False):
+    """Yield distributions accessible via `path_item`"""
+    importer = get_importer(path_item)
+    finder = _find_adapter(_distribution_finders, importer)
+    return finder(importer, path_item, only)
+
+
+def find_eggs_in_zip(
+    importer: zipimport.zipimporter, path_item: str, only: bool = False
+) -> Iterator[Distribution]:
+    """
+    Find eggs in zip files; possibly multiple nested eggs.
+    """
+    if importer.archive.endswith('.whl'):
+        # wheels are not supported with this finder
+        # they don't have PKG-INFO metadata, and won't ever contain eggs
+        return
+    metadata = EggMetadata(importer)
+    if metadata.has_metadata('PKG-INFO'):
+        yield Distribution.from_filename(path_item, metadata=metadata)
+    if only:
+        # don't yield nested distros
+        return
+    for subitem in metadata.resource_listdir(''):
+        if _is_egg_path(subitem):
+            subpath = os.path.join(path_item, subitem)
+            dists = find_eggs_in_zip(zipimport.zipimporter(subpath), subpath)
+            yield from dists
+        elif subitem.lower().endswith(('.dist-info', '.egg-info')):
+            subpath = os.path.join(path_item, subitem)
+            submeta = EggMetadata(zipimport.zipimporter(subpath))
+            submeta.egg_info = subpath
+            yield Distribution.from_location(path_item, subitem, submeta)
+
+
+register_finder(zipimport.zipimporter, find_eggs_in_zip)
+
+
+def find_nothing(
+    importer: object | None, path_item: str | None, only: bool | None = False
+):
+    return ()
+
+
+register_finder(object, find_nothing)
+
+
+def find_on_path(importer: object | None, path_item, only=False):
+    """Yield distributions accessible on a sys.path directory"""
+    path_item = _normalize_cached(path_item)
+
+    if _is_unpacked_egg(path_item):
+        yield Distribution.from_filename(
+            path_item,
+            metadata=PathMetadata(path_item, os.path.join(path_item, 'EGG-INFO')),
+        )
+        return
+
+    entries = (os.path.join(path_item, child) for child in safe_listdir(path_item))
+
+    # scan for .egg and .egg-info in directory
+    for entry in sorted(entries):
+        fullpath = os.path.join(path_item, entry)
+        factory = dist_factory(path_item, entry, only)
+        yield from factory(fullpath)
+
+
+def dist_factory(path_item, entry, only):
+    """Return a dist_factory for the given entry."""
+    lower = entry.lower()
+    is_egg_info = lower.endswith('.egg-info')
+    is_dist_info = lower.endswith('.dist-info') and os.path.isdir(
+        os.path.join(path_item, entry)
+    )
+    is_meta = is_egg_info or is_dist_info
+    return (
+        distributions_from_metadata
+        if is_meta
+        else find_distributions
+        if not only and _is_egg_path(entry)
+        else resolve_egg_link
+        if not only and lower.endswith('.egg-link')
+        else NoDists()
+    )
+
+
+class NoDists:
+    """
+    >>> bool(NoDists())
+    False
+
+    >>> list(NoDists()('anything'))
+    []
+    """
+
+    def __bool__(self):
+        return False
+
+    def __call__(self, fullpath):
+        return iter(())
+
+
+def safe_listdir(path: StrOrBytesPath):
+    """
+    Attempt to list contents of path, but suppress some exceptions.
+    """
+    try:
+        return os.listdir(path)
+    except (PermissionError, NotADirectoryError):
+        pass
+    except OSError as e:
+        # Ignore the directory if does not exist, not a directory or
+        # permission denied
+        if e.errno not in (errno.ENOTDIR, errno.EACCES, errno.ENOENT):
+            raise
+    return ()
+
+
+def distributions_from_metadata(path: str):
+    root = os.path.dirname(path)
+    if os.path.isdir(path):
+        if len(os.listdir(path)) == 0:
+            # empty metadata dir; skip
+            return
+        metadata: _MetadataType = PathMetadata(root, path)
+    else:
+        metadata = FileMetadata(path)
+    entry = os.path.basename(path)
+    yield Distribution.from_location(
+        root,
+        entry,
+        metadata,
+        precedence=DEVELOP_DIST,
+    )
+
+
+def non_empty_lines(path):
+    """
+    Yield non-empty lines from file at path
+    """
+    for line in _read_utf8_with_fallback(path).splitlines():
+        line = line.strip()
+        if line:
+            yield line
+
+
+def resolve_egg_link(path):
+    """
+    Given a path to an .egg-link, resolve distributions
+    present in the referenced path.
+    """
+    referenced_paths = non_empty_lines(path)
+    resolved_paths = (
+        os.path.join(os.path.dirname(path), ref) for ref in referenced_paths
+    )
+    dist_groups = map(find_distributions, resolved_paths)
+    return next(dist_groups, ())
+
+
+if hasattr(pkgutil, 'ImpImporter'):
+    register_finder(pkgutil.ImpImporter, find_on_path)
+
+register_finder(importlib.machinery.FileFinder, find_on_path)
+
+_namespace_handlers: dict[type, _NSHandlerType[Any]] = _declare_state(
+    'dict', '_namespace_handlers', {}
+)
+_namespace_packages: dict[str | None, list[str]] = _declare_state(
+    'dict', '_namespace_packages', {}
+)
+
+
+def register_namespace_handler(
+    importer_type: type[_T], namespace_handler: _NSHandlerType[_T]
+):
+    """Register `namespace_handler` to declare namespace packages
+
+    `importer_type` is the type or class of a PEP 302 "Importer" (sys.path item
+    handler), and `namespace_handler` is a callable like this::
+
+        def namespace_handler(importer, path_entry, moduleName, module):
+            # return a path_entry to use for child packages
+
+    Namespace handlers are only called if the importer object has already
+    agreed that it can handle the relevant path item, and they should only
+    return a subpath if the module __path__ does not already contain an
+    equivalent subpath.  For an example namespace handler, see
+    ``pkg_resources.file_ns_handler``.
+    """
+    _namespace_handlers[importer_type] = namespace_handler
+
+
+def _handle_ns(packageName, path_item):
+    """Ensure that named package includes a subpath of path_item (if needed)"""
+
+    importer = get_importer(path_item)
+    if importer is None:
+        return None
+
+    # use find_spec (PEP 451) and fall-back to find_module (PEP 302)
+    try:
+        spec = importer.find_spec(packageName)
+    except AttributeError:
+        # capture warnings due to #1111
+        with warnings.catch_warnings():
+            warnings.simplefilter("ignore")
+            loader = importer.find_module(packageName)
+    else:
+        loader = spec.loader if spec else None
+
+    if loader is None:
+        return None
+    module = sys.modules.get(packageName)
+    if module is None:
+        module = sys.modules[packageName] = types.ModuleType(packageName)
+        module.__path__ = []
+        _set_parent_ns(packageName)
+    elif not hasattr(module, '__path__'):
+        raise TypeError("Not a package:", packageName)
+    handler = _find_adapter(_namespace_handlers, importer)
+    subpath = handler(importer, path_item, packageName, module)
+    if subpath is not None:
+        path = module.__path__
+        path.append(subpath)
+        importlib.import_module(packageName)
+        _rebuild_mod_path(path, packageName, module)
+    return subpath
+
+
+def _rebuild_mod_path(orig_path, package_name, module: types.ModuleType):
+    """
+    Rebuild module.__path__ ensuring that all entries are ordered
+    corresponding to their sys.path order
+    """
+    sys_path = [_normalize_cached(p) for p in sys.path]
+
+    def safe_sys_path_index(entry):
+        """
+        Workaround for #520 and #513.
+        """
+        try:
+            return sys_path.index(entry)
+        except ValueError:
+            return float('inf')
+
+    def position_in_sys_path(path):
+        """
+        Return the ordinal of the path based on its position in sys.path
+        """
+        path_parts = path.split(os.sep)
+        module_parts = package_name.count('.') + 1
+        parts = path_parts[:-module_parts]
+        return safe_sys_path_index(_normalize_cached(os.sep.join(parts)))
+
+    new_path = sorted(orig_path, key=position_in_sys_path)
+    new_path = [_normalize_cached(p) for p in new_path]
+
+    if isinstance(module.__path__, list):
+        module.__path__[:] = new_path
+    else:
+        module.__path__ = new_path
+
+
+def declare_namespace(packageName: str):
+    """Declare that package 'packageName' is a namespace package"""
+
+    msg = (
+        f"Deprecated call to `pkg_resources.declare_namespace({packageName!r})`.\n"
+        "Implementing implicit namespace packages (as specified in PEP 420) "
+        "is preferred to `pkg_resources.declare_namespace`. "
+        "See https://setuptools.pypa.io/en/latest/references/"
+        "keywords.html#keyword-namespace-packages"
+    )
+    warnings.warn(msg, DeprecationWarning, stacklevel=2)
+
+    _imp.acquire_lock()
+    try:
+        if packageName in _namespace_packages:
+            return
+
+        path: MutableSequence[str] = sys.path
+        parent, _, _ = packageName.rpartition('.')
+
+        if parent:
+            declare_namespace(parent)
+            if parent not in _namespace_packages:
+                __import__(parent)
+            try:
+                path = sys.modules[parent].__path__
+            except AttributeError as e:
+                raise TypeError("Not a package:", parent) from e
+
+        # Track what packages are namespaces, so when new path items are added,
+        # they can be updated
+        _namespace_packages.setdefault(parent or None, []).append(packageName)
+        _namespace_packages.setdefault(packageName, [])
+
+        for path_item in path:
+            # Ensure all the parent's path items are reflected in the child,
+            # if they apply
+            _handle_ns(packageName, path_item)
+
+    finally:
+        _imp.release_lock()
+
+
+def fixup_namespace_packages(path_item: str, parent: str | None = None):
+    """Ensure that previously-declared namespace packages include path_item"""
+    _imp.acquire_lock()
+    try:
+        for package in _namespace_packages.get(parent, ()):
+            subpath = _handle_ns(package, path_item)
+            if subpath:
+                fixup_namespace_packages(subpath, package)
+    finally:
+        _imp.release_lock()
+
+
+def file_ns_handler(
+    importer: object,
+    path_item: StrPath,
+    packageName: str,
+    module: types.ModuleType,
+):
+    """Compute an ns-package subpath for a filesystem or zipfile importer"""
+
+    subpath = os.path.join(path_item, packageName.split('.')[-1])
+    normalized = _normalize_cached(subpath)
+    for item in module.__path__:
+        if _normalize_cached(item) == normalized:
+            break
+    else:
+        # Only return the path if it's not already there
+        return subpath
+
+
+if hasattr(pkgutil, 'ImpImporter'):
+    register_namespace_handler(pkgutil.ImpImporter, file_ns_handler)
+
+register_namespace_handler(zipimport.zipimporter, file_ns_handler)
+register_namespace_handler(importlib.machinery.FileFinder, file_ns_handler)
+
+
+def null_ns_handler(
+    importer: object,
+    path_item: str | None,
+    packageName: str | None,
+    module: _ModuleLike | None,
+):
+    return None
+
+
+register_namespace_handler(object, null_ns_handler)
+
+
+@overload
+def normalize_path(filename: StrPath) -> str: ...
+@overload
+def normalize_path(filename: BytesPath) -> bytes: ...
+def normalize_path(filename: StrOrBytesPath):
+    """Normalize a file/dir name for comparison purposes"""
+    return os.path.normcase(os.path.realpath(os.path.normpath(_cygwin_patch(filename))))
+
+
+def _cygwin_patch(filename: StrOrBytesPath):  # pragma: nocover
+    """
+    Contrary to POSIX 2008, on Cygwin, getcwd (3) contains
+    symlink components. Using
+    os.path.abspath() works around this limitation. A fix in os.getcwd()
+    would probably better, in Cygwin even more so, except
+    that this seems to be by design...
+    """
+    return os.path.abspath(filename) if sys.platform == 'cygwin' else filename
+
+
+if TYPE_CHECKING:
+    # https://github.com/python/mypy/issues/16261
+    # https://github.com/python/typeshed/issues/6347
+    @overload
+    def _normalize_cached(filename: StrPath) -> str: ...
+    @overload
+    def _normalize_cached(filename: BytesPath) -> bytes: ...
+    def _normalize_cached(filename: StrOrBytesPath) -> str | bytes: ...
+else:
+
+    @functools.lru_cache(maxsize=None)
+    def _normalize_cached(filename):
+        return normalize_path(filename)
+
+
+def _is_egg_path(path):
+    """
+    Determine if given path appears to be an egg.
+    """
+    return _is_zip_egg(path) or _is_unpacked_egg(path)
+
+
+def _is_zip_egg(path):
+    return (
+        path.lower().endswith('.egg')
+        and os.path.isfile(path)
+        and zipfile.is_zipfile(path)
+    )
+
+
+def _is_unpacked_egg(path):
+    """
+    Determine if given path appears to be an unpacked egg.
+    """
+    return path.lower().endswith('.egg') and os.path.isfile(
+        os.path.join(path, 'EGG-INFO', 'PKG-INFO')
+    )
+
+
+def _set_parent_ns(packageName):
+    parts = packageName.split('.')
+    name = parts.pop()
+    if parts:
+        parent = '.'.join(parts)
+        setattr(sys.modules[parent], name, sys.modules[packageName])
+
+
+MODULE = re.compile(r"\w+(\.\w+)*$").match
+EGG_NAME = re.compile(
+    r"""
+    (?P[^-]+) (
+        -(?P[^-]+) (
+            -py(?P[^-]+) (
+                -(?P.+)
+            )?
+        )?
+    )?
+    """,
+    re.VERBOSE | re.IGNORECASE,
+).match
+
+
+class EntryPoint:
+    """Object representing an advertised importable object"""
+
+    def __init__(
+        self,
+        name: str,
+        module_name: str,
+        attrs: Iterable[str] = (),
+        extras: Iterable[str] = (),
+        dist: Distribution | None = None,
+    ):
+        if not MODULE(module_name):
+            raise ValueError("Invalid module name", module_name)
+        self.name = name
+        self.module_name = module_name
+        self.attrs = tuple(attrs)
+        self.extras = tuple(extras)
+        self.dist = dist
+
+    def __str__(self):
+        s = "%s = %s" % (self.name, self.module_name)
+        if self.attrs:
+            s += ':' + '.'.join(self.attrs)
+        if self.extras:
+            s += ' [%s]' % ','.join(self.extras)
+        return s
+
+    def __repr__(self):
+        return "EntryPoint.parse(%r)" % str(self)
+
+    @overload
+    def load(
+        self,
+        require: Literal[True] = True,
+        env: Environment | None = None,
+        installer: _InstallerType | None = None,
+    ) -> _ResolvedEntryPoint: ...
+    @overload
+    def load(
+        self,
+        require: Literal[False],
+        *args: Any,
+        **kwargs: Any,
+    ) -> _ResolvedEntryPoint: ...
+    def load(
+        self,
+        require: bool = True,
+        *args: Environment | _InstallerType | None,
+        **kwargs: Environment | _InstallerType | None,
+    ) -> _ResolvedEntryPoint:
+        """
+        Require packages for this EntryPoint, then resolve it.
+        """
+        if not require or args or kwargs:
+            warnings.warn(
+                "Parameters to load are deprecated.  Call .resolve and "
+                ".require separately.",
+                PkgResourcesDeprecationWarning,
+                stacklevel=2,
+            )
+        if require:
+            # We could pass `env` and `installer` directly,
+            # but keeping `*args` and `**kwargs` for backwards compatibility
+            self.require(*args, **kwargs)  # type: ignore
+        return self.resolve()
+
+    def resolve(self) -> _ResolvedEntryPoint:
+        """
+        Resolve the entry point from its module and attrs.
+        """
+        module = __import__(self.module_name, fromlist=['__name__'], level=0)
+        try:
+            return functools.reduce(getattr, self.attrs, module)
+        except AttributeError as exc:
+            raise ImportError(str(exc)) from exc
+
+    def require(
+        self,
+        env: Environment | None = None,
+        installer: _InstallerType | None = None,
+    ):
+        if not self.dist:
+            error_cls = UnknownExtra if self.extras else AttributeError
+            raise error_cls("Can't require() without a distribution", self)
+
+        # Get the requirements for this entry point with all its extras and
+        # then resolve them. We have to pass `extras` along when resolving so
+        # that the working set knows what extras we want. Otherwise, for
+        # dist-info distributions, the working set will assume that the
+        # requirements for that extra are purely optional and skip over them.
+        reqs = self.dist.requires(self.extras)
+        items = working_set.resolve(reqs, env, installer, extras=self.extras)
+        list(map(working_set.add, items))
+
+    pattern = re.compile(
+        r'\s*'
+        r'(?P.+?)\s*'
+        r'=\s*'
+        r'(?P[\w.]+)\s*'
+        r'(:\s*(?P[\w.]+))?\s*'
+        r'(?P\[.*\])?\s*$'
+    )
+
+    @classmethod
+    def parse(cls, src: str, dist: Distribution | None = None):
+        """Parse a single entry point from string `src`
+
+        Entry point syntax follows the form::
+
+            name = some.module:some.attr [extra1, extra2]
+
+        The entry name and module name are required, but the ``:attrs`` and
+        ``[extras]`` parts are optional
+        """
+        m = cls.pattern.match(src)
+        if not m:
+            msg = "EntryPoint must be in 'name=module:attrs [extras]' format"
+            raise ValueError(msg, src)
+        res = m.groupdict()
+        extras = cls._parse_extras(res['extras'])
+        attrs = res['attr'].split('.') if res['attr'] else ()
+        return cls(res['name'], res['module'], attrs, extras, dist)
+
+    @classmethod
+    def _parse_extras(cls, extras_spec):
+        if not extras_spec:
+            return ()
+        req = Requirement.parse('x' + extras_spec)
+        if req.specs:
+            raise ValueError
+        return req.extras
+
+    @classmethod
+    def parse_group(
+        cls,
+        group: str,
+        lines: _NestedStr,
+        dist: Distribution | None = None,
+    ):
+        """Parse an entry point group"""
+        if not MODULE(group):
+            raise ValueError("Invalid group name", group)
+        this: dict[str, Self] = {}
+        for line in yield_lines(lines):
+            ep = cls.parse(line, dist)
+            if ep.name in this:
+                raise ValueError("Duplicate entry point", group, ep.name)
+            this[ep.name] = ep
+        return this
+
+    @classmethod
+    def parse_map(
+        cls,
+        data: str | Iterable[str] | dict[str, str | Iterable[str]],
+        dist: Distribution | None = None,
+    ):
+        """Parse a map of entry point groups"""
+        _data: Iterable[tuple[str | None, str | Iterable[str]]]
+        if isinstance(data, dict):
+            _data = data.items()
+        else:
+            _data = split_sections(data)
+        maps: dict[str, dict[str, Self]] = {}
+        for group, lines in _data:
+            if group is None:
+                if not lines:
+                    continue
+                raise ValueError("Entry points must be listed in groups")
+            group = group.strip()
+            if group in maps:
+                raise ValueError("Duplicate group name", group)
+            maps[group] = cls.parse_group(group, lines, dist)
+        return maps
+
+
+def _version_from_file(lines):
+    """
+    Given an iterable of lines from a Metadata file, return
+    the value of the Version field, if present, or None otherwise.
+    """
+
+    def is_version_line(line):
+        return line.lower().startswith('version:')
+
+    version_lines = filter(is_version_line, lines)
+    line = next(iter(version_lines), '')
+    _, _, value = line.partition(':')
+    return safe_version(value.strip()) or None
+
+
+class Distribution:
+    """Wrap an actual or potential sys.path entry w/metadata"""
+
+    PKG_INFO = 'PKG-INFO'
+
+    def __init__(
+        self,
+        location: str | None = None,
+        metadata: _MetadataType = None,
+        project_name: str | None = None,
+        version: str | None = None,
+        py_version: str | None = PY_MAJOR,
+        platform: str | None = None,
+        precedence: int = EGG_DIST,
+    ):
+        self.project_name = safe_name(project_name or 'Unknown')
+        if version is not None:
+            self._version = safe_version(version)
+        self.py_version = py_version
+        self.platform = platform
+        self.location = location
+        self.precedence = precedence
+        self._provider = metadata or empty_provider
+
+    @classmethod
+    def from_location(
+        cls,
+        location: str,
+        basename: StrPath,
+        metadata: _MetadataType = None,
+        **kw: int,  # We could set `precedence` explicitly, but keeping this as `**kw` for full backwards and subclassing compatibility
+    ) -> Distribution:
+        project_name, version, py_version, platform = [None] * 4
+        basename, ext = os.path.splitext(basename)
+        if ext.lower() in _distributionImpl:
+            cls = _distributionImpl[ext.lower()]
+
+            match = EGG_NAME(basename)
+            if match:
+                project_name, version, py_version, platform = match.group(
+                    'name', 'ver', 'pyver', 'plat'
+                )
+        return cls(
+            location,
+            metadata,
+            project_name=project_name,
+            version=version,
+            py_version=py_version,
+            platform=platform,
+            **kw,
+        )._reload_version()
+
+    def _reload_version(self):
+        return self
+
+    @property
+    def hashcmp(self):
+        return (
+            self._forgiving_parsed_version,
+            self.precedence,
+            self.key,
+            self.location,
+            self.py_version or '',
+            self.platform or '',
+        )
+
+    def __hash__(self):
+        return hash(self.hashcmp)
+
+    def __lt__(self, other: Distribution):
+        return self.hashcmp < other.hashcmp
+
+    def __le__(self, other: Distribution):
+        return self.hashcmp <= other.hashcmp
+
+    def __gt__(self, other: Distribution):
+        return self.hashcmp > other.hashcmp
+
+    def __ge__(self, other: Distribution):
+        return self.hashcmp >= other.hashcmp
+
+    def __eq__(self, other: object):
+        if not isinstance(other, self.__class__):
+            # It's not a Distribution, so they are not equal
+            return False
+        return self.hashcmp == other.hashcmp
+
+    def __ne__(self, other: object):
+        return not self == other
+
+    # These properties have to be lazy so that we don't have to load any
+    # metadata until/unless it's actually needed.  (i.e., some distributions
+    # may not know their name or version without loading PKG-INFO)
+
+    @property
+    def key(self):
+        try:
+            return self._key
+        except AttributeError:
+            self._key = key = self.project_name.lower()
+            return key
+
+    @property
+    def parsed_version(self):
+        if not hasattr(self, "_parsed_version"):
+            try:
+                self._parsed_version = parse_version(self.version)
+            except _packaging_version.InvalidVersion as ex:
+                info = f"(package: {self.project_name})"
+                if hasattr(ex, "add_note"):
+                    ex.add_note(info)  # PEP 678
+                    raise
+                raise _packaging_version.InvalidVersion(f"{str(ex)} {info}") from None
+
+        return self._parsed_version
+
+    @property
+    def _forgiving_parsed_version(self):
+        try:
+            return self.parsed_version
+        except _packaging_version.InvalidVersion as ex:
+            self._parsed_version = parse_version(_forgiving_version(self.version))
+
+            notes = "\n".join(getattr(ex, "__notes__", []))  # PEP 678
+            msg = f"""!!\n\n
+            *************************************************************************
+            {str(ex)}\n{notes}
+
+            This is a long overdue deprecation.
+            For the time being, `pkg_resources` will use `{self._parsed_version}`
+            as a replacement to avoid breaking existing environments,
+            but no future compatibility is guaranteed.
+
+            If you maintain package {self.project_name} you should implement
+            the relevant changes to adequate the project to PEP 440 immediately.
+            *************************************************************************
+            \n\n!!
+            """
+            warnings.warn(msg, DeprecationWarning)
+
+            return self._parsed_version
+
+    @property
+    def version(self):
+        try:
+            return self._version
+        except AttributeError as e:
+            version = self._get_version()
+            if version is None:
+                path = self._get_metadata_path_for_display(self.PKG_INFO)
+                msg = ("Missing 'Version:' header and/or {} file at path: {}").format(
+                    self.PKG_INFO, path
+                )
+                raise ValueError(msg, self) from e
+
+            return version
+
+    @property
+    def _dep_map(self):
+        """
+        A map of extra to its list of (direct) requirements
+        for this distribution, including the null extra.
+        """
+        try:
+            return self.__dep_map
+        except AttributeError:
+            self.__dep_map = self._filter_extras(self._build_dep_map())
+        return self.__dep_map
+
+    @staticmethod
+    def _filter_extras(dm: dict[str | None, list[Requirement]]):
+        """
+        Given a mapping of extras to dependencies, strip off
+        environment markers and filter out any dependencies
+        not matching the markers.
+        """
+        for extra in list(filter(None, dm)):
+            new_extra: str | None = extra
+            reqs = dm.pop(extra)
+            new_extra, _, marker = extra.partition(':')
+            fails_marker = marker and (
+                invalid_marker(marker) or not evaluate_marker(marker)
+            )
+            if fails_marker:
+                reqs = []
+            new_extra = safe_extra(new_extra) or None
+
+            dm.setdefault(new_extra, []).extend(reqs)
+        return dm
+
+    def _build_dep_map(self):
+        dm = {}
+        for name in 'requires.txt', 'depends.txt':
+            for extra, reqs in split_sections(self._get_metadata(name)):
+                dm.setdefault(extra, []).extend(parse_requirements(reqs))
+        return dm
+
+    def requires(self, extras: Iterable[str] = ()):
+        """List of Requirements needed for this distro if `extras` are used"""
+        dm = self._dep_map
+        deps: list[Requirement] = []
+        deps.extend(dm.get(None, ()))
+        for ext in extras:
+            try:
+                deps.extend(dm[safe_extra(ext)])
+            except KeyError as e:
+                raise UnknownExtra(
+                    "%s has no such extra feature %r" % (self, ext)
+                ) from e
+        return deps
+
+    def _get_metadata_path_for_display(self, name):
+        """
+        Return the path to the given metadata file, if available.
+        """
+        try:
+            # We need to access _get_metadata_path() on the provider object
+            # directly rather than through this class's __getattr__()
+            # since _get_metadata_path() is marked private.
+            path = self._provider._get_metadata_path(name)
+
+        # Handle exceptions e.g. in case the distribution's metadata
+        # provider doesn't support _get_metadata_path().
+        except Exception:
+            return '[could not detect]'
+
+        return path
+
+    def _get_metadata(self, name):
+        if self.has_metadata(name):
+            yield from self.get_metadata_lines(name)
+
+    def _get_version(self):
+        lines = self._get_metadata(self.PKG_INFO)
+        return _version_from_file(lines)
+
+    def activate(self, path: list[str] | None = None, replace: bool = False):
+        """Ensure distribution is importable on `path` (default=sys.path)"""
+        if path is None:
+            path = sys.path
+        self.insert_on(path, replace=replace)
+        if path is sys.path and self.location is not None:
+            fixup_namespace_packages(self.location)
+            for pkg in self._get_metadata('namespace_packages.txt'):
+                if pkg in sys.modules:
+                    declare_namespace(pkg)
+
+    def egg_name(self):
+        """Return what this distribution's standard .egg filename should be"""
+        filename = "%s-%s-py%s" % (
+            to_filename(self.project_name),
+            to_filename(self.version),
+            self.py_version or PY_MAJOR,
+        )
+
+        if self.platform:
+            filename += '-' + self.platform
+        return filename
+
+    def __repr__(self):
+        if self.location:
+            return "%s (%s)" % (self, self.location)
+        else:
+            return str(self)
+
+    def __str__(self):
+        try:
+            version = getattr(self, 'version', None)
+        except ValueError:
+            version = None
+        version = version or "[unknown version]"
+        return "%s %s" % (self.project_name, version)
+
+    def __getattr__(self, attr):
+        """Delegate all unrecognized public attributes to .metadata provider"""
+        if attr.startswith('_'):
+            raise AttributeError(attr)
+        return getattr(self._provider, attr)
+
+    def __dir__(self):
+        return list(
+            set(super().__dir__())
+            | set(attr for attr in self._provider.__dir__() if not attr.startswith('_'))
+        )
+
+    @classmethod
+    def from_filename(
+        cls,
+        filename: StrPath,
+        metadata: _MetadataType = None,
+        **kw: int,  # We could set `precedence` explicitly, but keeping this as `**kw` for full backwards and subclassing compatibility
+    ):
+        return cls.from_location(
+            _normalize_cached(filename), os.path.basename(filename), metadata, **kw
+        )
+
+    def as_requirement(self):
+        """Return a ``Requirement`` that matches this distribution exactly"""
+        if isinstance(self.parsed_version, _packaging_version.Version):
+            spec = "%s==%s" % (self.project_name, self.parsed_version)
+        else:
+            spec = "%s===%s" % (self.project_name, self.parsed_version)
+
+        return Requirement.parse(spec)
+
+    def load_entry_point(self, group: str, name: str) -> _ResolvedEntryPoint:
+        """Return the `name` entry point of `group` or raise ImportError"""
+        ep = self.get_entry_info(group, name)
+        if ep is None:
+            raise ImportError("Entry point %r not found" % ((group, name),))
+        return ep.load()
+
+    @overload
+    def get_entry_map(self, group: None = None) -> dict[str, dict[str, EntryPoint]]: ...
+    @overload
+    def get_entry_map(self, group: str) -> dict[str, EntryPoint]: ...
+    def get_entry_map(self, group: str | None = None):
+        """Return the entry point map for `group`, or the full entry map"""
+        if not hasattr(self, "_ep_map"):
+            self._ep_map = EntryPoint.parse_map(
+                self._get_metadata('entry_points.txt'), self
+            )
+        if group is not None:
+            return self._ep_map.get(group, {})
+        return self._ep_map
+
+    def get_entry_info(self, group: str, name: str):
+        """Return the EntryPoint object for `group`+`name`, or ``None``"""
+        return self.get_entry_map(group).get(name)
+
+    # FIXME: 'Distribution.insert_on' is too complex (13)
+    def insert_on(  # noqa: C901
+        self,
+        path: list[str],
+        loc=None,
+        replace: bool = False,
+    ):
+        """Ensure self.location is on path
+
+        If replace=False (default):
+            - If location is already in path anywhere, do nothing.
+            - Else:
+              - If it's an egg and its parent directory is on path,
+                insert just ahead of the parent.
+              - Else: add to the end of path.
+        If replace=True:
+            - If location is already on path anywhere (not eggs)
+              or higher priority than its parent (eggs)
+              do nothing.
+            - Else:
+              - If it's an egg and its parent directory is on path,
+                insert just ahead of the parent,
+                removing any lower-priority entries.
+              - Else: add it to the front of path.
+        """
+
+        loc = loc or self.location
+        if not loc:
+            return
+
+        nloc = _normalize_cached(loc)
+        bdir = os.path.dirname(nloc)
+        npath = [(p and _normalize_cached(p) or p) for p in path]
+
+        for p, item in enumerate(npath):
+            if item == nloc:
+                if replace:
+                    break
+                else:
+                    # don't modify path (even removing duplicates) if
+                    # found and not replace
+                    return
+            elif item == bdir and self.precedence == EGG_DIST:
+                # if it's an .egg, give it precedence over its directory
+                # UNLESS it's already been added to sys.path and replace=False
+                if (not replace) and nloc in npath[p:]:
+                    return
+                if path is sys.path:
+                    self.check_version_conflict()
+                path.insert(p, loc)
+                npath.insert(p, nloc)
+                break
+        else:
+            if path is sys.path:
+                self.check_version_conflict()
+            if replace:
+                path.insert(0, loc)
+            else:
+                path.append(loc)
+            return
+
+        # p is the spot where we found or inserted loc; now remove duplicates
+        while True:
+            try:
+                np = npath.index(nloc, p + 1)
+            except ValueError:
+                break
+            else:
+                del npath[np], path[np]
+                # ha!
+                p = np
+
+        return
+
+    def check_version_conflict(self):
+        if self.key == 'setuptools':
+            # ignore the inevitable setuptools self-conflicts  :(
+            return
+
+        nsp = dict.fromkeys(self._get_metadata('namespace_packages.txt'))
+        loc = normalize_path(self.location)
+        for modname in self._get_metadata('top_level.txt'):
+            if (
+                modname not in sys.modules
+                or modname in nsp
+                or modname in _namespace_packages
+            ):
+                continue
+            if modname in ('pkg_resources', 'setuptools', 'site'):
+                continue
+            fn = getattr(sys.modules[modname], '__file__', None)
+            if fn and (
+                normalize_path(fn).startswith(loc) or fn.startswith(self.location)
+            ):
+                continue
+            issue_warning(
+                "Module %s was already imported from %s, but %s is being added"
+                " to sys.path" % (modname, fn, self.location),
+            )
+
+    def has_version(self):
+        try:
+            self.version
+        except ValueError:
+            issue_warning("Unbuilt egg for " + repr(self))
+            return False
+        except SystemError:
+            # TODO: remove this except clause when python/cpython#103632 is fixed.
+            return False
+        return True
+
+    def clone(self, **kw: str | int | IResourceProvider | None):
+        """Copy this distribution, substituting in any changed keyword args"""
+        names = 'project_name version py_version platform location precedence'
+        for attr in names.split():
+            kw.setdefault(attr, getattr(self, attr, None))
+        kw.setdefault('metadata', self._provider)
+        # Unsafely unpacking. But keeping **kw for backwards and subclassing compatibility
+        return self.__class__(**kw)  # type:ignore[arg-type]
+
+    @property
+    def extras(self):
+        return [dep for dep in self._dep_map if dep]
+
+
+class EggInfoDistribution(Distribution):
+    def _reload_version(self):
+        """
+        Packages installed by distutils (e.g. numpy or scipy),
+        which uses an old safe_version, and so
+        their version numbers can get mangled when
+        converted to filenames (e.g., 1.11.0.dev0+2329eae to
+        1.11.0.dev0_2329eae). These distributions will not be
+        parsed properly
+        downstream by Distribution and safe_version, so
+        take an extra step and try to get the version number from
+        the metadata file itself instead of the filename.
+        """
+        md_version = self._get_version()
+        if md_version:
+            self._version = md_version
+        return self
+
+
+class DistInfoDistribution(Distribution):
+    """
+    Wrap an actual or potential sys.path entry
+    w/metadata, .dist-info style.
+    """
+
+    PKG_INFO = 'METADATA'
+    EQEQ = re.compile(r"([\(,])\s*(\d.*?)\s*([,\)])")
+
+    @property
+    def _parsed_pkg_info(self):
+        """Parse and cache metadata"""
+        try:
+            return self._pkg_info
+        except AttributeError:
+            metadata = self.get_metadata(self.PKG_INFO)
+            self._pkg_info = email.parser.Parser().parsestr(metadata)
+            return self._pkg_info
+
+    @property
+    def _dep_map(self):
+        try:
+            return self.__dep_map
+        except AttributeError:
+            self.__dep_map = self._compute_dependencies()
+            return self.__dep_map
+
+    def _compute_dependencies(self) -> dict[str | None, list[Requirement]]:
+        """Recompute this distribution's dependencies."""
+        self.__dep_map: dict[str | None, list[Requirement]] = {None: []}
+
+        reqs: list[Requirement] = []
+        # Including any condition expressions
+        for req in self._parsed_pkg_info.get_all('Requires-Dist') or []:
+            reqs.extend(parse_requirements(req))
+
+        def reqs_for_extra(extra):
+            for req in reqs:
+                if not req.marker or req.marker.evaluate({'extra': extra}):
+                    yield req
+
+        common = types.MappingProxyType(dict.fromkeys(reqs_for_extra(None)))
+        self.__dep_map[None].extend(common)
+
+        for extra in self._parsed_pkg_info.get_all('Provides-Extra') or []:
+            s_extra = safe_extra(extra.strip())
+            self.__dep_map[s_extra] = [
+                r for r in reqs_for_extra(extra) if r not in common
+            ]
+
+        return self.__dep_map
+
+
+_distributionImpl = {
+    '.egg': Distribution,
+    '.egg-info': EggInfoDistribution,
+    '.dist-info': DistInfoDistribution,
+}
+
+
+def issue_warning(*args, **kw):
+    level = 1
+    g = globals()
+    try:
+        # find the first stack frame that is *not* code in
+        # the pkg_resources module, to use for the warning
+        while sys._getframe(level).f_globals is g:
+            level += 1
+    except ValueError:
+        pass
+    warnings.warn(stacklevel=level + 1, *args, **kw)
+
+
+def parse_requirements(strs: _NestedStr):
+    """
+    Yield ``Requirement`` objects for each specification in `strs`.
+
+    `strs` must be a string, or a (possibly-nested) iterable thereof.
+    """
+    return map(Requirement, join_continuation(map(drop_comment, yield_lines(strs))))
+
+
+class RequirementParseError(_packaging_requirements.InvalidRequirement):
+    "Compatibility wrapper for InvalidRequirement"
+
+
+class Requirement(_packaging_requirements.Requirement):
+    def __init__(self, requirement_string: str):
+        """DO NOT CALL THIS UNDOCUMENTED METHOD; use Requirement.parse()!"""
+        super().__init__(requirement_string)
+        self.unsafe_name = self.name
+        project_name = safe_name(self.name)
+        self.project_name, self.key = project_name, project_name.lower()
+        self.specs = [(spec.operator, spec.version) for spec in self.specifier]
+        # packaging.requirements.Requirement uses a set for its extras. We use a variable-length tuple
+        self.extras: tuple[str] = tuple(map(safe_extra, self.extras))
+        self.hashCmp = (
+            self.key,
+            self.url,
+            self.specifier,
+            frozenset(self.extras),
+            str(self.marker) if self.marker else None,
+        )
+        self.__hash = hash(self.hashCmp)
+
+    def __eq__(self, other: object):
+        return isinstance(other, Requirement) and self.hashCmp == other.hashCmp
+
+    def __ne__(self, other):
+        return not self == other
+
+    def __contains__(self, item: Distribution | str | tuple[str, ...]) -> bool:
+        if isinstance(item, Distribution):
+            if item.key != self.key:
+                return False
+
+            item = item.version
+
+        # Allow prereleases always in order to match the previous behavior of
+        # this method. In the future this should be smarter and follow PEP 440
+        # more accurately.
+        return self.specifier.contains(item, prereleases=True)
+
+    def __hash__(self):
+        return self.__hash
+
+    def __repr__(self):
+        return "Requirement.parse(%r)" % str(self)
+
+    @staticmethod
+    def parse(s: str | Iterable[str]):
+        (req,) = parse_requirements(s)
+        return req
+
+
+def _always_object(classes):
+    """
+    Ensure object appears in the mro even
+    for old-style classes.
+    """
+    if object not in classes:
+        return classes + (object,)
+    return classes
+
+
+def _find_adapter(registry: Mapping[type, _AdapterT], ob: object) -> _AdapterT:
+    """Return an adapter factory for `ob` from `registry`"""
+    types = _always_object(inspect.getmro(getattr(ob, '__class__', type(ob))))
+    for t in types:
+        if t in registry:
+            return registry[t]
+    # _find_adapter would previously return None, and immediately be called.
+    # So we're raising a TypeError to keep backward compatibility if anyone depended on that behaviour.
+    raise TypeError(f"Could not find adapter for {registry} and {ob}")
+
+
+def ensure_directory(path: StrOrBytesPath):
+    """Ensure that the parent directory of `path` exists"""
+    dirname = os.path.dirname(path)
+    os.makedirs(dirname, exist_ok=True)
+
+
+def _bypass_ensure_directory(path):
+    """Sandbox-bypassing version of ensure_directory()"""
+    if not WRITE_SUPPORT:
+        raise OSError('"os.mkdir" not supported on this platform.')
+    dirname, filename = split(path)
+    if dirname and filename and not isdir(dirname):
+        _bypass_ensure_directory(dirname)
+        try:
+            mkdir(dirname, 0o755)
+        except FileExistsError:
+            pass
+
+
+def split_sections(s: _NestedStr) -> Iterator[tuple[str | None, list[str]]]:
+    """Split a string or iterable thereof into (section, content) pairs
+
+    Each ``section`` is a stripped version of the section header ("[section]")
+    and each ``content`` is a list of stripped lines excluding blank lines and
+    comment-only lines.  If there are any such lines before the first section
+    header, they're returned in a first ``section`` of ``None``.
+    """
+    section = None
+    content = []
+    for line in yield_lines(s):
+        if line.startswith("["):
+            if line.endswith("]"):
+                if section or content:
+                    yield section, content
+                section = line[1:-1].strip()
+                content = []
+            else:
+                raise ValueError("Invalid section heading", line)
+        else:
+            content.append(line)
+
+    # wrap up last segment
+    yield section, content
+
+
+def _mkstemp(*args, **kw):
+    old_open = os.open
+    try:
+        # temporarily bypass sandboxing
+        os.open = os_open
+        return tempfile.mkstemp(*args, **kw)
+    finally:
+        # and then put it back
+        os.open = old_open
+
+
+# Silence the PEP440Warning by default, so that end users don't get hit by it
+# randomly just because they use pkg_resources. We want to append the rule
+# because we want earlier uses of filterwarnings to take precedence over this
+# one.
+warnings.filterwarnings("ignore", category=PEP440Warning, append=True)
+
+
+class PkgResourcesDeprecationWarning(Warning):
+    """
+    Base class for warning about deprecations in ``pkg_resources``
+
+    This class is not derived from ``DeprecationWarning``, and as such is
+    visible by default.
+    """
+
+
+# Ported from ``setuptools`` to avoid introducing an import inter-dependency:
+_LOCALE_ENCODING = "locale" if sys.version_info >= (3, 10) else None
+
+
+def _read_utf8_with_fallback(file: str, fallback_encoding=_LOCALE_ENCODING) -> str:
+    """See setuptools.unicode_utils._read_utf8_with_fallback"""
+    try:
+        with open(file, "r", encoding="utf-8") as f:
+            return f.read()
+    except UnicodeDecodeError:  # pragma: no cover
+        msg = f"""\
+        ********************************************************************************
+        `encoding="utf-8"` fails with {file!r}, trying `encoding={fallback_encoding!r}`.
+
+        This fallback behaviour is considered **deprecated** and future versions of
+        `setuptools/pkg_resources` may not implement it.
+
+        Please encode {file!r} with "utf-8" to ensure future builds will succeed.
+
+        If this file was produced by `setuptools` itself, cleaning up the cached files
+        and re-building/re-installing the package with a newer version of `setuptools`
+        (e.g. by updating `build-system.requires` in its `pyproject.toml`)
+        might solve the problem.
+        ********************************************************************************
+        """
+        # TODO: Add a deadline?
+        #       See comment in setuptools.unicode_utils._Utf8EncodingNeeded
+        warnings.warn(msg, PkgResourcesDeprecationWarning, stacklevel=2)
+        with open(file, "r", encoding=fallback_encoding) as f:
+            return f.read()
+
+
+# from jaraco.functools 1.3
+def _call_aside(f, *args, **kwargs):
+    f(*args, **kwargs)
+    return f
+
+
+@_call_aside
+def _initialize(g=globals()):
+    "Set up global resource manager (deliberately not state-saved)"
+    manager = ResourceManager()
+    g['_manager'] = manager
+    g.update(
+        (name, getattr(manager, name))
+        for name in dir(manager)
+        if not name.startswith('_')
+    )
+
+
+@_call_aside
+def _initialize_master_working_set():
+    """
+    Prepare the master working set and make the ``require()``
+    API available.
+
+    This function has explicit effects on the global state
+    of pkg_resources. It is intended to be invoked once at
+    the initialization of this module.
+
+    Invocation by other packages is unsupported and done
+    at their own risk.
+    """
+    working_set = _declare_state('object', 'working_set', WorkingSet._build_master())
+
+    require = working_set.require
+    iter_entry_points = working_set.iter_entry_points
+    add_activation_listener = working_set.subscribe
+    run_script = working_set.run_script
+    # backward compatibility
+    run_main = run_script
+    # Activate all distributions already on sys.path with replace=False and
+    # ensure that all distributions added to the working set in the future
+    # (e.g. by calling ``require()``) will get activated as well,
+    # with higher priority (replace=True).
+    tuple(dist.activate(replace=False) for dist in working_set)
+    add_activation_listener(
+        lambda dist: dist.activate(replace=True),
+        existing=False,
+    )
+    working_set.entries = []
+    # match order
+    list(map(working_set.add_entry, sys.path))
+    globals().update(locals())
+
+
+if TYPE_CHECKING:
+    # All of these are set by the @_call_aside methods above
+    __resource_manager = ResourceManager()  # Won't exist at runtime
+    resource_exists = __resource_manager.resource_exists
+    resource_isdir = __resource_manager.resource_isdir
+    resource_filename = __resource_manager.resource_filename
+    resource_stream = __resource_manager.resource_stream
+    resource_string = __resource_manager.resource_string
+    resource_listdir = __resource_manager.resource_listdir
+    set_extraction_path = __resource_manager.set_extraction_path
+    cleanup_resources = __resource_manager.cleanup_resources
+
+    working_set = WorkingSet()
+    require = working_set.require
+    iter_entry_points = working_set.iter_entry_points
+    add_activation_listener = working_set.subscribe
+    run_script = working_set.run_script
+    run_main = run_script
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pkg_resources/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pkg_resources/__pycache__/__init__.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..89f16153d03966b9f6e4298b32fdb3909ec7200e
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pkg_resources/__pycache__/__init__.cpython-311.pyc
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19a1e5321a40084be824391ec995d3f02fd4bdce5021476d4e4265621f711ada
+size 176801
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/LICENSE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/LICENSE
new file mode 100644
index 0000000000000000000000000000000000000000..f35fed9191b1142ddaada8a96de4a9461c5d796c
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/LICENSE
@@ -0,0 +1,21 @@
+MIT License
+
+Copyright (c) 2010-202x The platformdirs developers
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..92fc2da5e9f867c38a463bbbad0d1db58f431da0
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/__init__.py
@@ -0,0 +1,917 @@
+"""Utilities for determining application-specific dirs.
+
+Provides convenience functions (e.g. :func:`user_data_dir`, :func:`user_config_path`), a :data:`PlatformDirs` class that
+auto-detects the current platform, and the :class:`~platformdirs.api.PlatformDirsABC` base class.
+
+See  for details and usage.
+
+"""
+
+from __future__ import annotations
+
+import os
+import sys
+from typing import TYPE_CHECKING
+
+from .api import PlatformDirsABC
+from .version import __version__
+from .version import __version_tuple__ as __version_info__
+
+if TYPE_CHECKING:
+    from pathlib import Path
+    from typing import Literal
+
+if sys.platform == "win32":
+    from pip._vendor.platformdirs.windows import Windows as _Result
+elif sys.platform == "darwin":
+    from pip._vendor.platformdirs.macos import MacOS as _Result
+else:
+    from pip._vendor.platformdirs.unix import Unix as _Result
+
+
+def _set_platform_dir_class() -> type[PlatformDirsABC]:
+    if os.getenv("ANDROID_DATA") == "/data" and os.getenv("ANDROID_ROOT") == "/system":
+        if os.getenv("SHELL") or os.getenv("PREFIX"):
+            return _Result
+
+        from pip._vendor.platformdirs.android import _android_folder  # noqa: PLC0415
+
+        if _android_folder() is not None:
+            from pip._vendor.platformdirs.android import Android  # noqa: PLC0415
+
+            return Android  # return to avoid redefinition of a result
+
+    return _Result
+
+
+if TYPE_CHECKING:
+    # Work around mypy issue: https://github.com/python/mypy/issues/10962
+    PlatformDirs = _Result
+else:
+    PlatformDirs = _set_platform_dir_class()  #: Currently active platform
+AppDirs = PlatformDirs  #: Backwards compatibility with appdirs
+
+
+def user_data_dir(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    roaming: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param roaming: See `roaming `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: data directory tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        roaming=roaming,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_data_dir
+
+
+def site_data_dir(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    multipath: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param multipath: See `multipath `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: data directory shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        multipath=multipath,
+        ensure_exists=ensure_exists,
+    ).site_data_dir
+
+
+def user_config_dir(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    roaming: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param roaming: See `roaming `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: config directory tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        roaming=roaming,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_config_dir
+
+
+def site_config_dir(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    multipath: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param multipath: See `multipath `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: config directory shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        multipath=multipath,
+        ensure_exists=ensure_exists,
+    ).site_config_dir
+
+
+def user_cache_dir(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: cache directory tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_cache_dir
+
+
+def site_cache_dir(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: cache directory shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+    ).site_cache_dir
+
+
+def user_state_dir(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    roaming: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param roaming: See `roaming `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: state directory tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        roaming=roaming,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_state_dir
+
+
+def site_state_dir(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: state directory shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        ensure_exists=ensure_exists,
+    ).site_state_dir
+
+
+def user_log_dir(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: log directory tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_log_dir
+
+
+def site_log_dir(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: log directory shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+    ).site_log_dir
+
+
+def user_documents_dir() -> str:
+    """:returns: documents directory tied to the user"""
+    return PlatformDirs().user_documents_dir
+
+
+def user_downloads_dir() -> str:
+    """:returns: downloads directory tied to the user"""
+    return PlatformDirs().user_downloads_dir
+
+
+def user_pictures_dir() -> str:
+    """:returns: pictures directory tied to the user"""
+    return PlatformDirs().user_pictures_dir
+
+
+def user_videos_dir() -> str:
+    """:returns: videos directory tied to the user"""
+    return PlatformDirs().user_videos_dir
+
+
+def user_music_dir() -> str:
+    """:returns: music directory tied to the user"""
+    return PlatformDirs().user_music_dir
+
+
+def user_desktop_dir() -> str:
+    """:returns: desktop directory tied to the user"""
+    return PlatformDirs().user_desktop_dir
+
+
+def user_projects_dir() -> str:
+    """:returns: projects directory tied to the user"""
+    return PlatformDirs().user_projects_dir
+
+
+def user_publicshare_dir() -> str:
+    """:returns: public share directory tied to the user"""
+    return PlatformDirs().user_publicshare_dir
+
+
+def user_templates_dir() -> str:
+    """:returns: templates directory tied to the user"""
+    return PlatformDirs().user_templates_dir
+
+
+def user_fonts_dir() -> str:
+    """:returns: fonts directory tied to the user"""
+    return PlatformDirs().user_fonts_dir
+
+
+def user_preference_dir() -> str:
+    """:returns: preference directory tied to the user"""
+    return PlatformDirs().user_preference_dir
+
+
+def user_bin_dir() -> str:
+    """:returns: bin directory tied to the user"""
+    return PlatformDirs().user_bin_dir
+
+
+def site_bin_dir() -> str:
+    """:returns: bin directory shared by users"""
+    return PlatformDirs().site_bin_dir
+
+
+def user_applications_dir() -> str:
+    """:returns: applications directory tied to the user"""
+    return PlatformDirs().user_applications_dir
+
+
+def site_applications_dir(
+    multipath: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param multipath: See `multipath `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: applications directory shared by users
+
+    """
+    return PlatformDirs(
+        multipath=multipath,
+        ensure_exists=ensure_exists,
+    ).site_applications_dir
+
+
+def user_runtime_dir(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: runtime directory tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_runtime_dir
+
+
+def site_runtime_dir(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> str:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: runtime directory shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+    ).site_runtime_dir
+
+
+def user_data_path(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    roaming: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param roaming: See `roaming `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: data path tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        roaming=roaming,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_data_path
+
+
+def site_data_path(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    multipath: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param multipath: See `multipath `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: data path shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        multipath=multipath,
+        ensure_exists=ensure_exists,
+    ).site_data_path
+
+
+def user_config_path(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    roaming: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param roaming: See `roaming `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: config path tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        roaming=roaming,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_config_path
+
+
+def site_config_path(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    multipath: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param multipath: See `multipath `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: config path shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        multipath=multipath,
+        ensure_exists=ensure_exists,
+    ).site_config_path
+
+
+def site_cache_path(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: cache path shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+    ).site_cache_path
+
+
+def user_cache_path(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: cache path tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_cache_path
+
+
+def user_state_path(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    roaming: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param roaming: See `roaming `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: state path tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        roaming=roaming,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_state_path
+
+
+def site_state_path(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: state path shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        ensure_exists=ensure_exists,
+    ).site_state_path
+
+
+def user_log_path(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: log path tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_log_path
+
+
+def site_log_path(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: log path shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+    ).site_log_path
+
+
+def user_documents_path() -> Path:
+    """:returns: documents path tied to the user"""
+    return PlatformDirs().user_documents_path
+
+
+def user_downloads_path() -> Path:
+    """:returns: downloads path tied to the user"""
+    return PlatformDirs().user_downloads_path
+
+
+def user_pictures_path() -> Path:
+    """:returns: pictures path tied to the user"""
+    return PlatformDirs().user_pictures_path
+
+
+def user_videos_path() -> Path:
+    """:returns: videos path tied to the user"""
+    return PlatformDirs().user_videos_path
+
+
+def user_music_path() -> Path:
+    """:returns: music path tied to the user"""
+    return PlatformDirs().user_music_path
+
+
+def user_desktop_path() -> Path:
+    """:returns: desktop path tied to the user"""
+    return PlatformDirs().user_desktop_path
+
+
+def user_projects_path() -> Path:
+    """:returns: projects path tied to the user"""
+    return PlatformDirs().user_projects_path
+
+
+def user_publicshare_path() -> Path:
+    """:returns: public share path tied to the user"""
+    return PlatformDirs().user_publicshare_path
+
+
+def user_templates_path() -> Path:
+    """:returns: templates path tied to the user"""
+    return PlatformDirs().user_templates_path
+
+
+def user_fonts_path() -> Path:
+    """:returns: fonts path tied to the user"""
+    return PlatformDirs().user_fonts_path
+
+
+def user_preference_path() -> Path:
+    """:returns: preference path tied to the user"""
+    return PlatformDirs().user_preference_path
+
+
+def user_bin_path() -> Path:
+    """:returns: bin path tied to the user"""
+    return PlatformDirs().user_bin_path
+
+
+def site_bin_path() -> Path:
+    """:returns: bin path shared by users"""
+    return PlatformDirs().site_bin_path
+
+
+def user_applications_path() -> Path:
+    """:returns: applications path tied to the user"""
+    return PlatformDirs().user_applications_path
+
+
+def site_applications_path(
+    multipath: bool = False,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param multipath: See `multipath `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: applications path shared by users
+
+    """
+    return PlatformDirs(
+        multipath=multipath,
+        ensure_exists=ensure_exists,
+    ).site_applications_path
+
+
+def user_runtime_path(  # noqa: PLR0913, PLR0917
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+    use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+    :param use_site_for_root: See `use_site_for_root `.
+
+    :returns: runtime path tied to the user
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+        use_site_for_root=use_site_for_root,
+    ).user_runtime_path
+
+
+def site_runtime_path(
+    appname: str | None = None,
+    appauthor: str | Literal[False] | None = None,
+    version: str | None = None,
+    opinion: bool = True,  # noqa: FBT001, FBT002
+    ensure_exists: bool = False,  # noqa: FBT001, FBT002
+) -> Path:
+    """:param appname: See `appname `.
+    :param appauthor: See `appauthor `.
+    :param version: See `version `.
+    :param opinion: See `opinion `.
+    :param ensure_exists: See `ensure_exists `.
+
+    :returns: runtime path shared by users
+
+    """
+    return PlatformDirs(
+        appname=appname,
+        appauthor=appauthor,
+        version=version,
+        opinion=opinion,
+        ensure_exists=ensure_exists,
+    ).site_runtime_path
+
+
+__all__ = [
+    "AppDirs",
+    "PlatformDirs",
+    "PlatformDirsABC",
+    "__version__",
+    "__version_info__",
+    "site_applications_dir",
+    "site_applications_path",
+    "site_bin_dir",
+    "site_bin_path",
+    "site_cache_dir",
+    "site_cache_path",
+    "site_config_dir",
+    "site_config_path",
+    "site_data_dir",
+    "site_data_path",
+    "site_log_dir",
+    "site_log_path",
+    "site_runtime_dir",
+    "site_runtime_path",
+    "site_state_dir",
+    "site_state_path",
+    "user_applications_dir",
+    "user_applications_path",
+    "user_bin_dir",
+    "user_bin_path",
+    "user_cache_dir",
+    "user_cache_path",
+    "user_config_dir",
+    "user_config_path",
+    "user_data_dir",
+    "user_data_path",
+    "user_desktop_dir",
+    "user_desktop_path",
+    "user_documents_dir",
+    "user_documents_path",
+    "user_downloads_dir",
+    "user_downloads_path",
+    "user_fonts_dir",
+    "user_fonts_path",
+    "user_log_dir",
+    "user_log_path",
+    "user_music_dir",
+    "user_music_path",
+    "user_pictures_dir",
+    "user_pictures_path",
+    "user_preference_dir",
+    "user_preference_path",
+    "user_projects_dir",
+    "user_projects_path",
+    "user_publicshare_dir",
+    "user_publicshare_path",
+    "user_runtime_dir",
+    "user_runtime_path",
+    "user_state_dir",
+    "user_state_path",
+    "user_templates_dir",
+    "user_templates_path",
+    "user_videos_dir",
+    "user_videos_path",
+]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/__main__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/__main__.py
new file mode 100644
index 0000000000000000000000000000000000000000..0d1877b122f4cdacf5612e3823ad8f7acdd406ef
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/__main__.py
@@ -0,0 +1,66 @@
+"""Main entry point."""
+
+from __future__ import annotations
+
+from pip._vendor.platformdirs import PlatformDirs, __version__
+
+PROPS = (
+    "user_data_dir",
+    "user_config_dir",
+    "user_cache_dir",
+    "user_state_dir",
+    "user_log_dir",
+    "user_documents_dir",
+    "user_downloads_dir",
+    "user_pictures_dir",
+    "user_videos_dir",
+    "user_music_dir",
+    "user_projects_dir",
+    "user_publicshare_dir",
+    "user_templates_dir",
+    "user_fonts_dir",
+    "user_preference_dir",
+    "user_bin_dir",
+    "site_bin_dir",
+    "user_applications_dir",
+    "user_runtime_dir",
+    "site_data_dir",
+    "site_config_dir",
+    "site_cache_dir",
+    "site_state_dir",
+    "site_log_dir",
+    "site_applications_dir",
+    "site_runtime_dir",
+)
+
+
+def main() -> None:
+    """Run the main entry point."""
+    app_name = "MyApp"
+    app_author = "MyCompany"
+
+    print(f"-- platformdirs {__version__} --")  # noqa: T201
+
+    print("-- app dirs (with optional 'version')")  # noqa: T201
+    dirs = PlatformDirs(app_name, app_author, version="1.0")
+    for prop in PROPS:
+        print(f"{prop}: {getattr(dirs, prop)}")  # noqa: T201
+
+    print("\n-- app dirs (without optional 'version')")  # noqa: T201
+    dirs = PlatformDirs(app_name, app_author)
+    for prop in PROPS:
+        print(f"{prop}: {getattr(dirs, prop)}")  # noqa: T201
+
+    print("\n-- app dirs (without optional 'appauthor')")  # noqa: T201
+    dirs = PlatformDirs(app_name)
+    for prop in PROPS:
+        print(f"{prop}: {getattr(dirs, prop)}")  # noqa: T201
+
+    print("\n-- app dirs (with disabled 'appauthor')")  # noqa: T201
+    dirs = PlatformDirs(app_name, appauthor=False)
+    for prop in PROPS:
+        print(f"{prop}: {getattr(dirs, prop)}")  # noqa: T201
+
+
+if __name__ == "__main__":
+    main()
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/_xdg.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/_xdg.py
new file mode 100644
index 0000000000000000000000000000000000000000..b2af284ae397d385167de6531c096193da73951a
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/_xdg.py
@@ -0,0 +1,171 @@
+"""XDG environment variable mixin for Unix and macOS."""
+
+from __future__ import annotations
+
+import os
+
+from .api import PlatformDirsABC
+
+
+class XDGMixin(PlatformDirsABC):
+    """Mixin that checks XDG environment variables, falling back to platform-specific defaults via ``super()``."""
+
+    @property
+    def user_data_dir(self) -> str:
+        """:returns: data directory tied to the user, from ``$XDG_DATA_HOME`` if set, else platform default"""
+        if path := os.environ.get("XDG_DATA_HOME", "").strip():
+            return self._append_app_name_and_version(path)
+        return super().user_data_dir
+
+    @property
+    def _site_data_dirs(self) -> list[str]:
+        if xdg_dirs := os.environ.get("XDG_DATA_DIRS", "").strip():
+            return [self._append_app_name_and_version(p) for p in xdg_dirs.split(os.pathsep) if p.strip()]
+        return super()._site_data_dirs
+
+    @property
+    def site_data_dir(self) -> str:
+        """:returns: data directories shared by users, from ``$XDG_DATA_DIRS`` if set, else platform default"""
+        dirs = self._site_data_dirs
+        return os.pathsep.join(dirs) if self.multipath else dirs[0]
+
+    @property
+    def user_config_dir(self) -> str:
+        """:returns: config directory tied to the user, from ``$XDG_CONFIG_HOME`` if set, else platform default"""
+        if path := os.environ.get("XDG_CONFIG_HOME", "").strip():
+            return self._append_app_name_and_version(path)
+        return super().user_config_dir
+
+    @property
+    def _site_config_dirs(self) -> list[str]:
+        if xdg_dirs := os.environ.get("XDG_CONFIG_DIRS", "").strip():
+            return [self._append_app_name_and_version(p) for p in xdg_dirs.split(os.pathsep) if p.strip()]
+        return super()._site_config_dirs
+
+    @property
+    def site_config_dir(self) -> str:
+        """:returns: config directories shared by users, from ``$XDG_CONFIG_DIRS`` if set, else platform default"""
+        dirs = self._site_config_dirs
+        return os.pathsep.join(dirs) if self.multipath else dirs[0]
+
+    @property
+    def user_cache_dir(self) -> str:
+        """:returns: cache directory tied to the user, from ``$XDG_CACHE_HOME`` if set, else platform default"""
+        if path := os.environ.get("XDG_CACHE_HOME", "").strip():
+            return self._append_app_name_and_version(path)
+        return super().user_cache_dir
+
+    @property
+    def user_state_dir(self) -> str:
+        """:returns: state directory tied to the user, from ``$XDG_STATE_HOME`` if set, else platform default"""
+        if path := os.environ.get("XDG_STATE_HOME", "").strip():
+            return self._append_app_name_and_version(path)
+        return super().user_state_dir
+
+    @property
+    def user_runtime_dir(self) -> str:
+        """:returns: runtime directory tied to the user, from ``$XDG_RUNTIME_DIR`` if set, else platform default"""
+        if path := os.environ.get("XDG_RUNTIME_DIR", "").strip():
+            return self._append_app_name_and_version(path)
+        return super().user_runtime_dir
+
+    @property
+    def site_runtime_dir(self) -> str:
+        """:returns: runtime directory shared by users, from ``$XDG_RUNTIME_DIR`` if set, else platform default"""
+        if path := os.environ.get("XDG_RUNTIME_DIR", "").strip():
+            return self._append_app_name_and_version(path)
+        return super().site_runtime_dir
+
+    @property
+    def user_documents_dir(self) -> str:
+        """:returns: documents directory tied to the user, from ``$XDG_DOCUMENTS_DIR`` if set, else platform default"""
+        if path := os.environ.get("XDG_DOCUMENTS_DIR", "").strip():
+            return os.path.expanduser(path)  # noqa: PTH111
+        return super().user_documents_dir
+
+    @property
+    def user_downloads_dir(self) -> str:
+        """:returns: downloads directory tied to the user, from ``$XDG_DOWNLOAD_DIR`` if set, else platform default"""
+        if path := os.environ.get("XDG_DOWNLOAD_DIR", "").strip():
+            return os.path.expanduser(path)  # noqa: PTH111
+        return super().user_downloads_dir
+
+    @property
+    def user_pictures_dir(self) -> str:
+        """:returns: pictures directory tied to the user, from ``$XDG_PICTURES_DIR`` if set, else platform default"""
+        if path := os.environ.get("XDG_PICTURES_DIR", "").strip():
+            return os.path.expanduser(path)  # noqa: PTH111
+        return super().user_pictures_dir
+
+    @property
+    def user_videos_dir(self) -> str:
+        """:returns: videos directory tied to the user, from ``$XDG_VIDEOS_DIR`` if set, else platform default"""
+        if path := os.environ.get("XDG_VIDEOS_DIR", "").strip():
+            return os.path.expanduser(path)  # noqa: PTH111
+        return super().user_videos_dir
+
+    @property
+    def user_music_dir(self) -> str:
+        """:returns: music directory tied to the user, from ``$XDG_MUSIC_DIR`` if set, else platform default"""
+        if path := os.environ.get("XDG_MUSIC_DIR", "").strip():
+            return os.path.expanduser(path)  # noqa: PTH111
+        return super().user_music_dir
+
+    @property
+    def user_desktop_dir(self) -> str:
+        """:returns: desktop directory tied to the user, from ``$XDG_DESKTOP_DIR`` if set, else platform default"""
+        if path := os.environ.get("XDG_DESKTOP_DIR", "").strip():
+            return os.path.expanduser(path)  # noqa: PTH111
+        return super().user_desktop_dir
+
+    @property
+    def user_projects_dir(self) -> str:
+        """:returns: projects directory tied to the user, from ``$XDG_PROJECTS_DIR`` if set, else platform default"""
+        if path := os.environ.get("XDG_PROJECTS_DIR", "").strip():
+            return os.path.expanduser(path)  # noqa: PTH111  # API returns str, not Path
+        return super().user_projects_dir
+
+    @property
+    def user_publicshare_dir(self) -> str:
+        """:returns: public share directory tied to the user, from ``$XDG_PUBLICSHARE_DIR`` if set, else platform default"""
+        if path := os.environ.get("XDG_PUBLICSHARE_DIR", "").strip():
+            return os.path.expanduser(path)  # noqa: PTH111  # API returns str, not Path
+        return super().user_publicshare_dir
+
+    @property
+    def user_templates_dir(self) -> str:
+        """:returns: templates directory tied to the user, from ``$XDG_TEMPLATES_DIR`` if set, else platform default"""
+        if path := os.environ.get("XDG_TEMPLATES_DIR", "").strip():
+            return os.path.expanduser(path)  # noqa: PTH111  # API returns str, not Path
+        return super().user_templates_dir
+
+    @property
+    def user_fonts_dir(self) -> str:
+        """:returns: fonts directory tied to the user, from ``$XDG_DATA_HOME/fonts`` if set, else platform default"""
+        if path := os.environ.get("XDG_DATA_HOME", "").strip():
+            return f"{os.path.expanduser(path)}/fonts"  # noqa: PTH111  # API returns str, not Path
+        return super().user_fonts_dir
+
+    @property
+    def user_applications_dir(self) -> str:
+        """:returns: applications directory tied to the user, from ``$XDG_DATA_HOME`` if set, else platform default"""
+        if path := os.environ.get("XDG_DATA_HOME", "").strip():
+            return os.path.join(os.path.expanduser(path), "applications")  # noqa: PTH111, PTH118
+        return super().user_applications_dir
+
+    @property
+    def _site_applications_dirs(self) -> list[str]:
+        if xdg_dirs := os.environ.get("XDG_DATA_DIRS", "").strip():
+            return [os.path.join(p, "applications") for p in xdg_dirs.split(os.pathsep) if p.strip()]  # noqa: PTH118
+        return super()._site_applications_dirs
+
+    @property
+    def site_applications_dir(self) -> str:
+        """:returns: applications directories shared by users, from ``$XDG_DATA_DIRS`` if set, else platform default"""
+        dirs = self._site_applications_dirs
+        return os.pathsep.join(dirs) if self.multipath else dirs[0]
+
+
+__all__ = [
+    "XDGMixin",
+]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/android.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/android.py
new file mode 100644
index 0000000000000000000000000000000000000000..885e8c6e1547945572cf54444ce3527d5c0475d5
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/android.py
@@ -0,0 +1,300 @@
+"""Android."""
+
+from __future__ import annotations
+
+import os
+import re
+import sys
+from functools import lru_cache
+from typing import TYPE_CHECKING, cast
+
+from .api import PlatformDirsABC
+
+
+class Android(PlatformDirsABC):  # noqa: PLR0904
+    """Platform directories for Android.
+
+    Follows the guidance `from here `_. Directories are typically located
+    under the app's private storage (``/data/user///``).
+
+    Makes use of the `appname `, `version
+    `, `opinion `, `ensure_exists
+    `.
+
+    """
+
+    @property
+    def user_data_dir(self) -> str:
+        """:returns: data directory tied to the user, e.g. ``/data/user///files/``"""
+        return self._append_app_name_and_version(cast("str", _android_folder()), "files")
+
+    @property
+    def site_data_dir(self) -> str:
+        """:returns: data directory shared by users, same as `user_data_dir`"""
+        return self.user_data_dir
+
+    @property
+    def user_config_dir(self) -> str:
+        """:returns: config directory tied to the user, e.g. ``/data/user///shared_prefs/``"""
+        return self._append_app_name_and_version(cast("str", _android_folder()), "shared_prefs")
+
+    @property
+    def site_config_dir(self) -> str:
+        """:returns: config directory shared by users, same as `user_config_dir`"""
+        return self.user_config_dir
+
+    @property
+    def user_cache_dir(self) -> str:
+        """:returns: cache directory tied to the user, e.g.,``/data/user///cache/``"""
+        return self._append_app_name_and_version(cast("str", _android_folder()), "cache")
+
+    @property
+    def site_cache_dir(self) -> str:
+        """:returns: cache directory shared by users, same as `user_cache_dir`"""
+        return self.user_cache_dir
+
+    @property
+    def user_state_dir(self) -> str:
+        """:returns: state directory tied to the user, same as `user_data_dir`"""
+        return self.user_data_dir
+
+    @property
+    def site_state_dir(self) -> str:
+        """:returns: state directory shared by users, same as `user_state_dir`"""
+        return self.user_state_dir
+
+    @property
+    def user_log_dir(self) -> str:
+        """:returns: log directory tied to the user, same as `user_cache_dir` if not opinionated else ``log`` in it, e.g. ``/data/user///cache//log``"""
+        path = self.user_cache_dir
+        if self.opinion:
+            path = os.path.join(path, "log")  # noqa: PTH118
+            self._optionally_create_directory(path)
+        return path
+
+    @property
+    def site_log_dir(self) -> str:
+        """:returns: log directory shared by users, same as `user_log_dir`"""
+        return self.user_log_dir
+
+    @property
+    def user_documents_dir(self) -> str:
+        """:returns: documents directory tied to the user e.g. ``/storage/emulated/0/Documents``"""
+        return _android_documents_folder()
+
+    @property
+    def user_downloads_dir(self) -> str:
+        """:returns: downloads directory tied to the user e.g. ``/storage/emulated/0/Downloads``"""
+        return _android_downloads_folder()
+
+    @property
+    def user_pictures_dir(self) -> str:
+        """:returns: pictures directory tied to the user e.g. ``/storage/emulated/0/Pictures``"""
+        return _android_pictures_folder()
+
+    @property
+    def user_videos_dir(self) -> str:
+        """:returns: videos directory tied to the user e.g. ``/storage/emulated/0/DCIM/Camera``"""
+        return _android_videos_folder()
+
+    @property
+    def user_music_dir(self) -> str:
+        """:returns: music directory tied to the user e.g. ``/storage/emulated/0/Music``"""
+        return _android_music_folder()
+
+    @property
+    def user_desktop_dir(self) -> str:
+        """:returns: desktop directory tied to the user e.g. ``/storage/emulated/0/Desktop``"""
+        return "/storage/emulated/0/Desktop"
+
+    @property
+    def user_projects_dir(self) -> str:
+        """:returns: projects directory tied to the user e.g. ``/storage/emulated/0/Projects``"""
+        return "/storage/emulated/0/Projects"
+
+    @property
+    def user_publicshare_dir(self) -> str:
+        """:returns: public share directory tied to the user e.g. ``/storage/emulated/0/Public``"""
+        return "/storage/emulated/0/Public"
+
+    @property
+    def user_templates_dir(self) -> str:
+        """:returns: templates directory tied to the user e.g. ``/storage/emulated/0/Templates``"""
+        return "/storage/emulated/0/Templates"
+
+    @property
+    def user_fonts_dir(self) -> str:
+        """:returns: fonts directory tied to the user e.g. ``/storage/emulated/0/fonts``"""
+        return "/storage/emulated/0/fonts"
+
+    @property
+    def user_preference_dir(self) -> str:
+        """:returns: preference directory tied to the user, same as ``user_config_dir``"""
+        return self.user_config_dir
+
+    @property
+    def user_bin_dir(self) -> str:
+        """:returns: bin directory tied to the user, e.g. ``/data/user///files/bin``"""
+        return os.path.join(cast("str", _android_folder()), "files", "bin")  # noqa: PTH118
+
+    @property
+    def site_bin_dir(self) -> str:
+        """:returns: bin directory shared by users, same as `user_bin_dir`"""
+        return self.user_bin_dir
+
+    @property
+    def user_applications_dir(self) -> str:
+        """:returns: applications directory tied to the user, same as `user_data_dir`"""
+        return self.user_data_dir
+
+    @property
+    def site_applications_dir(self) -> str:
+        """:returns: applications directory shared by users, same as `user_applications_dir`"""
+        return self.user_applications_dir
+
+    @property
+    def user_runtime_dir(self) -> str:
+        """:returns: runtime directory tied to the user, same as `user_cache_dir` if not opinionated else ``tmp`` in it, e.g. ``/data/user///cache//tmp``"""
+        path = self.user_cache_dir
+        if self.opinion:
+            path = os.path.join(path, "tmp")  # noqa: PTH118
+            self._optionally_create_directory(path)
+        return path
+
+    @property
+    def site_runtime_dir(self) -> str:
+        """:returns: runtime directory shared by users, same as `user_runtime_dir`"""
+        return self.user_runtime_dir
+
+
+@lru_cache(maxsize=1)
+def _android_folder() -> str | None:  # noqa: C901
+    """:returns: base folder for the Android OS or None if it cannot be found"""
+    result: str | None = None
+    # type checker isn't happy with our "import android", just don't do this when type checking see
+    # https://stackoverflow.com/a/61394121
+    if not TYPE_CHECKING:
+        try:
+            # First try to get a path to android app using python4android (if available)...
+            from android import mActivity  # noqa: PLC0415
+
+            context = cast("android.content.Context", mActivity.getApplicationContext())  # noqa: F821
+            result = context.getFilesDir().getParentFile().getAbsolutePath()
+        except Exception:  # noqa: BLE001
+            result = None
+    if result is None:
+        try:
+            # ...and fall back to using plain pyjnius, if python4android isn't available or doesn't deliver any useful
+            # result...
+            from jnius import autoclass  # noqa: PLC0415  # ty: ignore[unresolved-import]
+
+            context = autoclass("android.content.Context")
+            result = context.getFilesDir().getParentFile().getAbsolutePath()
+        except Exception:  # noqa: BLE001
+            result = None
+    if result is None:
+        # and if that fails, too, find an android folder looking at path on the sys.path
+        # warning: only works for apps installed under /data, not adopted storage etc.
+        pattern = re.compile(r"/data/(data|user/\d+)/(.+)/files")
+        for path in sys.path:
+            if pattern.match(path):
+                result = path.split("/files")[0]
+                break
+        else:
+            result = None
+    if result is None:
+        # one last try: find an android folder looking at path on the sys.path taking adopted storage paths into
+        # account
+        pattern = re.compile(r"/mnt/expand/[a-fA-F0-9-]{36}/(data|user/\d+)/(.+)/files")
+        for path in sys.path:
+            if pattern.match(path):
+                result = path.split("/files")[0]
+                break
+        else:
+            result = None
+    return result
+
+
+@lru_cache(maxsize=1)
+def _android_documents_folder() -> str:
+    """:returns: documents folder for the Android OS"""
+    # Get directories with pyjnius
+    try:
+        from jnius import autoclass  # noqa: PLC0415  # ty: ignore[unresolved-import]
+
+        context = autoclass("android.content.Context")
+        environment = autoclass("android.os.Environment")
+        documents_dir: str = context.getExternalFilesDir(environment.DIRECTORY_DOCUMENTS).getAbsolutePath()
+    except Exception:  # noqa: BLE001
+        documents_dir = "/storage/emulated/0/Documents"
+
+    return documents_dir
+
+
+@lru_cache(maxsize=1)
+def _android_downloads_folder() -> str:
+    """:returns: downloads folder for the Android OS"""
+    # Get directories with pyjnius
+    try:
+        from jnius import autoclass  # noqa: PLC0415  # ty: ignore[unresolved-import]
+
+        context = autoclass("android.content.Context")
+        environment = autoclass("android.os.Environment")
+        downloads_dir: str = context.getExternalFilesDir(environment.DIRECTORY_DOWNLOADS).getAbsolutePath()
+    except Exception:  # noqa: BLE001
+        downloads_dir = "/storage/emulated/0/Downloads"
+
+    return downloads_dir
+
+
+@lru_cache(maxsize=1)
+def _android_pictures_folder() -> str:
+    """:returns: pictures folder for the Android OS"""
+    # Get directories with pyjnius
+    try:
+        from jnius import autoclass  # noqa: PLC0415  # ty: ignore[unresolved-import]
+
+        context = autoclass("android.content.Context")
+        environment = autoclass("android.os.Environment")
+        pictures_dir: str = context.getExternalFilesDir(environment.DIRECTORY_PICTURES).getAbsolutePath()
+    except Exception:  # noqa: BLE001
+        pictures_dir = "/storage/emulated/0/Pictures"
+
+    return pictures_dir
+
+
+@lru_cache(maxsize=1)
+def _android_videos_folder() -> str:
+    """:returns: videos folder for the Android OS"""
+    # Get directories with pyjnius
+    try:
+        from jnius import autoclass  # noqa: PLC0415  # ty: ignore[unresolved-import]
+
+        context = autoclass("android.content.Context")
+        environment = autoclass("android.os.Environment")
+        videos_dir: str = context.getExternalFilesDir(environment.DIRECTORY_DCIM).getAbsolutePath()
+    except Exception:  # noqa: BLE001
+        videos_dir = "/storage/emulated/0/DCIM/Camera"
+
+    return videos_dir
+
+
+@lru_cache(maxsize=1)
+def _android_music_folder() -> str:
+    """:returns: music folder for the Android OS"""
+    # Get directories with pyjnius
+    try:
+        from jnius import autoclass  # noqa: PLC0415  # ty: ignore[unresolved-import]
+
+        context = autoclass("android.content.Context")
+        environment = autoclass("android.os.Environment")
+        music_dir: str = context.getExternalFilesDir(environment.DIRECTORY_MUSIC).getAbsolutePath()
+    except Exception:  # noqa: BLE001
+        music_dir = "/storage/emulated/0/Music"
+
+    return music_dir
+
+
+__all__ = [
+    "Android",
+]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/api.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/api.py
new file mode 100644
index 0000000000000000000000000000000000000000..91ef902858ad664d4779cb8ca6fd75798ddf9edd
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/api.py
@@ -0,0 +1,463 @@
+"""Base API."""
+
+from __future__ import annotations
+
+import os
+from abc import ABC, abstractmethod
+from pathlib import Path
+from typing import TYPE_CHECKING
+
+if TYPE_CHECKING:
+    from collections.abc import Iterator
+    from typing import Literal
+
+
+class PlatformDirsABC(ABC):  # noqa: PLR0904
+    """Abstract base class defining all platform directory properties, their :class:`~pathlib.Path` variants, and iterators.
+
+    Platform-specific subclasses (e.g. :class:`~platformdirs.windows.Windows`, :class:`~platformdirs.macos.MacOS`,
+    :class:`~platformdirs.unix.Unix`) implement the abstract properties to return the appropriate paths for each
+    operating system.
+
+    """
+
+    def __init__(  # noqa: PLR0913, PLR0917
+        self,
+        appname: str | None = None,
+        appauthor: str | Literal[False] | None = None,
+        version: str | None = None,
+        roaming: bool = False,  # noqa: FBT001, FBT002
+        multipath: bool = False,  # noqa: FBT001, FBT002
+        opinion: bool = True,  # noqa: FBT001, FBT002
+        ensure_exists: bool = False,  # noqa: FBT001, FBT002
+        use_site_for_root: bool = False,  # noqa: FBT001, FBT002
+    ) -> None:
+        """Create a new platform directory.
+
+        :param appname: See `appname`.
+        :param appauthor: See `appauthor`.
+        :param version: See `version`.
+        :param roaming: See `roaming`.
+        :param multipath: See `multipath`.
+        :param opinion: See `opinion`.
+        :param ensure_exists: See `ensure_exists`.
+        :param use_site_for_root: See `use_site_for_root`.
+
+        """
+        self.appname = appname  #: The name of the application.
+        self.appauthor = appauthor
+        """The name of the app author or distributing body for this application.
+
+        Typically, it is the owning company name. Defaults to `appname`. You may pass ``False`` to disable it.
+
+        .. note::
+
+            On Windows, the directory structure is ``//``. When ``appauthor`` is ``None`` (the
+            default), it falls back to ``appname``, resulting in ``//`` (e.g.
+            ``AppData/Local/myapp/myapp``). Pass ``appauthor=False`` to omit the author directory entirely and get
+            ``/``.
+
+        """
+        self.version = version
+        """An optional version path element to append to the path.
+
+        You might want to use this if you want multiple versions of your app to be able to run independently. If used,
+        this would typically be ``.``.
+
+        """
+        self.roaming = roaming
+        """Whether to use the roaming appdata directory on Windows.
+
+        That means that for users on a Windows network setup for roaming profiles, this user data will be synced on
+        login (see `here `_).
+
+        """
+        self.multipath = multipath
+        """An optional parameter which indicates that the entire list of data dirs should be returned.
+
+        By default, the first item would only be returned. Only affects ``site_data_dir`` and ``site_config_dir`` on
+        Unix and macOS.
+
+        """
+        self.opinion = opinion
+        """Whether to use opinionated values.
+
+        When enabled, appends an additional subdirectory for certain directories: e.g. ``Cache`` for cache and ``Logs``
+        for logs on Windows, ``log`` for logs on Unix.
+
+        """
+        self.ensure_exists = ensure_exists
+        """Optionally create the directory (and any missing parents) upon access if it does not exist.
+
+        By default, no directories are created.
+
+        """
+        self.use_site_for_root = use_site_for_root
+        """Whether to redirect ``user_*_dir`` calls to their ``site_*_dir`` equivalents when running as root (uid 0).
+
+        Only has an effect on Unix. Disabled by default for backwards compatibility. When enabled, XDG user environment
+        variables (e.g. ``XDG_DATA_HOME``) are bypassed for the redirected directories.
+
+        """
+
+    def _append_app_name_and_version(self, *base: str) -> str:
+        params = list(base[1:])
+        if self.appname:
+            params.append(self.appname)
+            if self.version:
+                params.append(self.version)
+        path = os.path.join(base[0], *params)  # noqa: PTH118
+        self._optionally_create_directory(path)
+        return path
+
+    def _optionally_create_directory(self, path: str) -> None:
+        if self.ensure_exists:
+            Path(path).mkdir(parents=True, exist_ok=True)
+
+    def _first_item_as_path_if_multipath(self, directory: str) -> Path:
+        if self.multipath:
+            # If multipath is True, the first path is returned.
+            directory = directory.partition(os.pathsep)[0]
+        return Path(directory)
+
+    @property
+    @abstractmethod
+    def user_data_dir(self) -> str:
+        """:returns: data directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def site_data_dir(self) -> str:
+        """:returns: data directory shared by users"""
+
+    @property
+    def _site_data_dirs(self) -> list[str]:
+        raise NotImplementedError
+
+    @property
+    @abstractmethod
+    def user_config_dir(self) -> str:
+        """:returns: config directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def site_config_dir(self) -> str:
+        """:returns: config directory shared by users"""
+
+    @property
+    def _site_config_dirs(self) -> list[str]:
+        raise NotImplementedError
+
+    @property
+    @abstractmethod
+    def user_cache_dir(self) -> str:
+        """:returns: cache directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def site_cache_dir(self) -> str:
+        """:returns: cache directory shared by users"""
+
+    @property
+    @abstractmethod
+    def user_state_dir(self) -> str:
+        """:returns: state directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def site_state_dir(self) -> str:
+        """:returns: state directory shared by users"""
+
+    @property
+    @abstractmethod
+    def user_log_dir(self) -> str:
+        """:returns: log directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def site_log_dir(self) -> str:
+        """:returns: log directory shared by users"""
+
+    @property
+    @abstractmethod
+    def user_documents_dir(self) -> str:
+        """:returns: documents directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def user_downloads_dir(self) -> str:
+        """:returns: downloads directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def user_pictures_dir(self) -> str:
+        """:returns: pictures directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def user_videos_dir(self) -> str:
+        """:returns: videos directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def user_music_dir(self) -> str:
+        """:returns: music directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def user_desktop_dir(self) -> str:
+        """:returns: desktop directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def user_projects_dir(self) -> str:
+        """:returns: projects directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def user_publicshare_dir(self) -> str:
+        """:returns: public share directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def user_templates_dir(self) -> str:
+        """:returns: templates directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def user_fonts_dir(self) -> str:
+        """:returns: fonts directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def user_preference_dir(self) -> str:
+        """:returns: preference directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def user_bin_dir(self) -> str:
+        """:returns: bin directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def site_bin_dir(self) -> str:
+        """:returns: bin directory shared by users"""
+
+    @property
+    @abstractmethod
+    def user_applications_dir(self) -> str:
+        """:returns: applications directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def site_applications_dir(self) -> str:
+        """:returns: applications directory shared by users"""
+
+    @property
+    def _site_applications_dirs(self) -> list[str]:
+        raise NotImplementedError
+
+    @property
+    @abstractmethod
+    def user_runtime_dir(self) -> str:
+        """:returns: runtime directory tied to the user"""
+
+    @property
+    @abstractmethod
+    def site_runtime_dir(self) -> str:
+        """:returns: runtime directory shared by users"""
+
+    @property
+    def user_data_path(self) -> Path:
+        """:returns: data path tied to the user"""
+        return Path(self.user_data_dir)
+
+    @property
+    def site_data_path(self) -> Path:
+        """:returns: data path shared by users"""
+        return Path(self.site_data_dir)
+
+    @property
+    def user_config_path(self) -> Path:
+        """:returns: config path tied to the user"""
+        return Path(self.user_config_dir)
+
+    @property
+    def site_config_path(self) -> Path:
+        """:returns: config path shared by users"""
+        return Path(self.site_config_dir)
+
+    @property
+    def user_cache_path(self) -> Path:
+        """:returns: cache path tied to the user"""
+        return Path(self.user_cache_dir)
+
+    @property
+    def site_cache_path(self) -> Path:
+        """:returns: cache path shared by users"""
+        return Path(self.site_cache_dir)
+
+    @property
+    def user_state_path(self) -> Path:
+        """:returns: state path tied to the user"""
+        return Path(self.user_state_dir)
+
+    @property
+    def site_state_path(self) -> Path:
+        """:returns: state path shared by users"""
+        return Path(self.site_state_dir)
+
+    @property
+    def user_log_path(self) -> Path:
+        """:returns: log path tied to the user"""
+        return Path(self.user_log_dir)
+
+    @property
+    def site_log_path(self) -> Path:
+        """:returns: log path shared by users"""
+        return Path(self.site_log_dir)
+
+    @property
+    def user_documents_path(self) -> Path:
+        """:returns: documents path tied to the user"""
+        return Path(self.user_documents_dir)
+
+    @property
+    def user_downloads_path(self) -> Path:
+        """:returns: downloads path tied to the user"""
+        return Path(self.user_downloads_dir)
+
+    @property
+    def user_pictures_path(self) -> Path:
+        """:returns: pictures path tied to the user"""
+        return Path(self.user_pictures_dir)
+
+    @property
+    def user_videos_path(self) -> Path:
+        """:returns: videos path tied to the user"""
+        return Path(self.user_videos_dir)
+
+    @property
+    def user_music_path(self) -> Path:
+        """:returns: music path tied to the user"""
+        return Path(self.user_music_dir)
+
+    @property
+    def user_desktop_path(self) -> Path:
+        """:returns: desktop path tied to the user"""
+        return Path(self.user_desktop_dir)
+
+    @property
+    def user_projects_path(self) -> Path:
+        """:returns: projects path tied to the user"""
+        return Path(self.user_projects_dir)
+
+    @property
+    def user_publicshare_path(self) -> Path:
+        """:returns: public share path tied to the user"""
+        return Path(self.user_publicshare_dir)
+
+    @property
+    def user_templates_path(self) -> Path:
+        """:returns: templates path tied to the user"""
+        return Path(self.user_templates_dir)
+
+    @property
+    def user_fonts_path(self) -> Path:
+        """:returns: fonts path tied to the user"""
+        return Path(self.user_fonts_dir)
+
+    @property
+    def user_preference_path(self) -> Path:
+        """:returns: preference path tied to the user"""
+        return Path(self.user_preference_dir)
+
+    @property
+    def user_bin_path(self) -> Path:
+        """:returns: bin path tied to the user"""
+        return Path(self.user_bin_dir)
+
+    @property
+    def site_bin_path(self) -> Path:
+        """:returns: bin path shared by users"""
+        return Path(self.site_bin_dir)
+
+    @property
+    def user_applications_path(self) -> Path:
+        """:returns: applications path tied to the user"""
+        return Path(self.user_applications_dir)
+
+    @property
+    def site_applications_path(self) -> Path:
+        """:returns: applications path shared by users"""
+        return Path(self.site_applications_dir)
+
+    @property
+    def user_runtime_path(self) -> Path:
+        """:returns: runtime path tied to the user"""
+        return Path(self.user_runtime_dir)
+
+    @property
+    def site_runtime_path(self) -> Path:
+        """:returns: runtime path shared by users"""
+        return Path(self.site_runtime_dir)
+
+    def iter_config_dirs(self) -> Iterator[str]:
+        """:yield: all user and site configuration directories."""
+        yield self.user_config_dir
+        yield self.site_config_dir
+
+    def iter_data_dirs(self) -> Iterator[str]:
+        """:yield: all user and site data directories."""
+        yield self.user_data_dir
+        yield self.site_data_dir
+
+    def iter_cache_dirs(self) -> Iterator[str]:
+        """:yield: all user and site cache directories."""
+        yield self.user_cache_dir
+        yield self.site_cache_dir
+
+    def iter_state_dirs(self) -> Iterator[str]:
+        """:yield: all user and site state directories."""
+        yield self.user_state_dir
+        yield self.site_state_dir
+
+    def iter_log_dirs(self) -> Iterator[str]:
+        """:yield: all user and site log directories."""
+        yield self.user_log_dir
+        yield self.site_log_dir
+
+    def iter_runtime_dirs(self) -> Iterator[str]:
+        """:yield: all user and site runtime directories."""
+        yield self.user_runtime_dir
+        yield self.site_runtime_dir
+
+    def iter_config_paths(self) -> Iterator[Path]:
+        """:yield: all user and site configuration paths."""
+        for path in self.iter_config_dirs():
+            yield Path(path)
+
+    def iter_data_paths(self) -> Iterator[Path]:
+        """:yield: all user and site data paths."""
+        for path in self.iter_data_dirs():
+            yield Path(path)
+
+    def iter_cache_paths(self) -> Iterator[Path]:
+        """:yield: all user and site cache paths."""
+        for path in self.iter_cache_dirs():
+            yield Path(path)
+
+    def iter_state_paths(self) -> Iterator[Path]:
+        """:yield: all user and site state paths."""
+        for path in self.iter_state_dirs():
+            yield Path(path)
+
+    def iter_log_paths(self) -> Iterator[Path]:
+        """:yield: all user and site log paths."""
+        for path in self.iter_log_dirs():
+            yield Path(path)
+
+    def iter_runtime_paths(self) -> Iterator[Path]:
+        """:yield: all user and site runtime paths."""
+        for path in self.iter_runtime_dirs():
+            yield Path(path)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/macos.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/macos.py
new file mode 100644
index 0000000000000000000000000000000000000000..9ebc2a0c5498b77b29f86a485ed8c727c6d9ea76
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/macos.py
@@ -0,0 +1,223 @@
+"""macOS."""
+
+from __future__ import annotations
+
+import os.path
+import sys
+from typing import TYPE_CHECKING
+
+if TYPE_CHECKING:
+    from collections.abc import Iterator
+
+from ._xdg import XDGMixin
+from .api import PlatformDirsABC
+
+if TYPE_CHECKING:
+    from pathlib import Path
+
+
+class _MacOSDefaults(PlatformDirsABC):  # noqa: PLR0904
+    """Default platform directories for macOS without XDG environment variable overrides.
+
+    Follows the guidance from `Apple's File System Programming Guide
+    `_.
+    The XDG env var handling is in :class:`~platformdirs._xdg.XDGMixin`.
+
+    """
+
+    def _base_user_app_support_dir(self) -> str:
+        return self._append_app_name_and_version(os.path.expanduser("~/Library/Application Support"))  # noqa: PTH111
+
+    def _base_site_dirs(self) -> list[str]:
+        is_homebrew = "/opt/python" in sys.prefix
+        homebrew_prefix = sys.prefix.split("/opt/python")[0] if is_homebrew else ""
+        path_list = [self._append_app_name_and_version(f"{homebrew_prefix}/share")] if is_homebrew else []
+        path_list.append(self._append_app_name_and_version("/Library/Application Support"))
+        return path_list
+
+    @property
+    def user_data_dir(self) -> str:
+        """:returns: data directory tied to the user, e.g. ``~/Library/Application Support/$appname/$version``"""
+        return self._base_user_app_support_dir()
+
+    @property
+    def _site_data_dirs(self) -> list[str]:
+        return self._base_site_dirs()
+
+    @property
+    def site_data_path(self) -> Path:
+        """:returns: data path shared by users. Only return the first item, even if ``multipath`` is set to ``True``"""
+        return self._first_item_as_path_if_multipath(self.site_data_dir)
+
+    @property
+    def site_config_path(self) -> Path:
+        """:returns: config path shared by users. Only return the first item, even if ``multipath`` is set to ``True``"""
+        return self._first_item_as_path_if_multipath(self.site_config_dir)
+
+    @property
+    def user_config_dir(self) -> str:
+        """:returns: config directory tied to the user, same as `user_data_dir`"""
+        return self._base_user_app_support_dir()
+
+    @property
+    def _site_config_dirs(self) -> list[str]:
+        return self._base_site_dirs()
+
+    @property
+    def user_cache_dir(self) -> str:
+        """:returns: cache directory tied to the user, e.g. ``~/Library/Caches/$appname/$version``"""
+        return self._append_app_name_and_version(os.path.expanduser("~/Library/Caches"))  # noqa: PTH111
+
+    @property
+    def site_cache_dir(self) -> str:
+        """:returns: cache directory shared by users, e.g. ``/Library/Caches/$appname/$version``. If we're using a Python binary managed by `Homebrew `_, the directory will be under the Homebrew prefix, e.g. ``$homebrew_prefix/var/cache/$appname/$version``. If `multipath ` is enabled, and we're in Homebrew, the response is a multi-path string separated by ":", e.g. ``$homebrew_prefix/var/cache/$appname/$version:/Library/Caches/$appname/$version``"""
+        is_homebrew = "/opt/python" in sys.prefix
+        homebrew_prefix = sys.prefix.split("/opt/python")[0] if is_homebrew else ""
+        path_list = [self._append_app_name_and_version(f"{homebrew_prefix}/var/cache")] if is_homebrew else []
+        path_list.append(self._append_app_name_and_version("/Library/Caches"))
+        if self.multipath:
+            return os.pathsep.join(path_list)
+        return path_list[0]
+
+    @property
+    def site_cache_path(self) -> Path:
+        """:returns: cache path shared by users. Only return the first item, even if ``multipath`` is set to ``True``"""
+        return self._first_item_as_path_if_multipath(self.site_cache_dir)
+
+    @property
+    def user_state_dir(self) -> str:
+        """:returns: state directory tied to the user, same as `user_data_dir`"""
+        return self._base_user_app_support_dir()
+
+    @property
+    def site_state_dir(self) -> str:
+        """:returns: state directory shared by users, same as `site_data_dir`"""
+        return self._base_site_dirs()[0]
+
+    @property
+    def user_log_dir(self) -> str:
+        """:returns: log directory tied to the user, e.g. ``~/Library/Logs/$appname/$version``"""
+        return self._append_app_name_and_version(os.path.expanduser("~/Library/Logs"))  # noqa: PTH111
+
+    @property
+    def site_log_dir(self) -> str:
+        """:returns: log directory shared by users, e.g. ``/Library/Logs/$appname/$version``"""
+        return self._append_app_name_and_version("/Library/Logs")
+
+    @property
+    def user_documents_dir(self) -> str:
+        """:returns: documents directory tied to the user, e.g. ``~/Documents``"""
+        return os.path.expanduser("~/Documents")  # noqa: PTH111
+
+    @property
+    def user_downloads_dir(self) -> str:
+        """:returns: downloads directory tied to the user, e.g. ``~/Downloads``"""
+        return os.path.expanduser("~/Downloads")  # noqa: PTH111
+
+    @property
+    def user_pictures_dir(self) -> str:
+        """:returns: pictures directory tied to the user, e.g. ``~/Pictures``"""
+        return os.path.expanduser("~/Pictures")  # noqa: PTH111
+
+    @property
+    def user_videos_dir(self) -> str:
+        """:returns: videos directory tied to the user, e.g. ``~/Movies``"""
+        return os.path.expanduser("~/Movies")  # noqa: PTH111
+
+    @property
+    def user_music_dir(self) -> str:
+        """:returns: music directory tied to the user, e.g. ``~/Music``"""
+        return os.path.expanduser("~/Music")  # noqa: PTH111
+
+    @property
+    def user_desktop_dir(self) -> str:
+        """:returns: desktop directory tied to the user, e.g. ``~/Desktop``"""
+        return os.path.expanduser("~/Desktop")  # noqa: PTH111
+
+    @property
+    def user_projects_dir(self) -> str:
+        """:returns: projects directory tied to the user, e.g. ``~/Projects``"""
+        return os.path.expanduser("~/Projects")  # noqa: PTH111
+
+    @property
+    def user_publicshare_dir(self) -> str:
+        """:returns: public share directory tied to the user, e.g. ``~/Public``"""
+        return os.path.expanduser("~/Public")  # noqa: PTH111  # API returns str, not Path
+
+    @property
+    def user_templates_dir(self) -> str:
+        """:returns: templates directory tied to the user, e.g. ``~/Templates``"""
+        return os.path.expanduser("~/Templates")  # noqa: PTH111  # API returns str, not Path
+
+    @property
+    def user_fonts_dir(self) -> str:
+        """:returns: fonts directory tied to the user, e.g. ``~/Library/Fonts``"""
+        return os.path.expanduser("~/Library/Fonts")  # noqa: PTH111  # API returns str, not Path
+
+    @property
+    def user_preference_dir(self) -> str:
+        """:returns: preference directory tied to the user, e.g. ``~/Library/Preferences/AppName``"""
+        return self._append_app_name_and_version(os.path.expanduser("~/Library/Preferences"))  # noqa: PTH111  # API returns str, not Path
+
+    @property
+    def user_bin_dir(self) -> str:
+        """:returns: bin directory tied to the user, e.g. ``~/.local/bin``"""
+        return os.path.expanduser("~/.local/bin")  # noqa: PTH111
+
+    @property
+    def site_bin_dir(self) -> str:
+        """:returns: bin directory shared by users, e.g. ``/usr/local/bin``"""
+        return "/usr/local/bin"
+
+    @property
+    def user_applications_dir(self) -> str:
+        """:returns: applications directory tied to the user, e.g. ``~/Applications``"""
+        return os.path.expanduser("~/Applications")  # noqa: PTH111
+
+    @property
+    def _site_applications_dirs(self) -> list[str]:
+        return ["/Applications"]
+
+    @property
+    def site_applications_dir(self) -> str:
+        """:returns: applications directory shared by users, e.g. ``/Applications``"""
+        dirs = self._site_applications_dirs
+        return os.pathsep.join(dirs) if self.multipath else dirs[0]
+
+    @property
+    def user_runtime_dir(self) -> str:
+        """:returns: runtime directory tied to the user, e.g. ``~/Library/Caches/TemporaryItems/$appname/$version``"""
+        return self._append_app_name_and_version(os.path.expanduser("~/Library/Caches/TemporaryItems"))  # noqa: PTH111
+
+    @property
+    def site_runtime_dir(self) -> str:
+        """:returns: runtime directory shared by users, same as `user_runtime_dir`"""
+        return self.user_runtime_dir
+
+    def iter_config_dirs(self) -> Iterator[str]:
+        """:yield: all user and site configuration directories."""
+        yield self.user_config_dir
+        yield from self._site_config_dirs
+
+    def iter_data_dirs(self) -> Iterator[str]:
+        """:yield: all user and site data directories."""
+        yield self.user_data_dir
+        yield from self._site_data_dirs
+
+
+class MacOS(XDGMixin, _MacOSDefaults):
+    """Platform directories for the macOS operating system.
+
+    Follows the guidance from `Apple documentation
+    `_.
+    Makes use of the `appname `, `version
+    `, `ensure_exists `.
+
+    XDG environment variables (e.g. ``$XDG_DATA_HOME``) are supported and take precedence over macOS defaults.
+
+    """
+
+
+__all__ = [
+    "MacOS",
+]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/py.typed b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/py.typed
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/unix.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/unix.py
new file mode 100644
index 0000000000000000000000000000000000000000..500d3a4be92924f3f66a4ec993f61cf12f19d3f3
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/unix.py
@@ -0,0 +1,321 @@
+"""Unix."""
+
+from __future__ import annotations
+
+import os
+import sys
+from configparser import ConfigParser
+from functools import cached_property
+from pathlib import Path
+from tempfile import gettempdir
+from typing import TYPE_CHECKING, NoReturn
+
+from ._xdg import XDGMixin
+from .api import PlatformDirsABC
+
+if TYPE_CHECKING:
+    from collections.abc import Iterator
+
+if sys.platform == "win32":
+
+    def getuid() -> NoReturn:
+        msg = "should only be used on Unix"
+        raise RuntimeError(msg)
+
+else:
+    from os import getuid
+
+
+class _UnixDefaults(PlatformDirsABC):  # noqa: PLR0904
+    """Default directories for Unix/Linux without XDG environment variable overrides.
+
+    The XDG env var handling is in :class:`~platformdirs._xdg.XDGMixin`.
+
+    """
+
+    @cached_property
+    def _use_site(self) -> bool:
+        return self.use_site_for_root and getuid() == 0
+
+    @property
+    def user_data_dir(self) -> str:
+        """:returns: data directory tied to the user, e.g. ``~/.local/share/$appname/$version`` or ``$XDG_DATA_HOME/$appname/$version``"""
+        return self._append_app_name_and_version(os.path.expanduser("~/.local/share"))  # noqa: PTH111
+
+    @property
+    def _site_data_dirs(self) -> list[str]:
+        return [self._append_app_name_and_version("/usr/local/share"), self._append_app_name_and_version("/usr/share")]
+
+    @property
+    def user_config_dir(self) -> str:
+        """:returns: config directory tied to the user, e.g. ``~/.config/$appname/$version`` or ``$XDG_CONFIG_HOME/$appname/$version``"""
+        return self._append_app_name_and_version(os.path.expanduser("~/.config"))  # noqa: PTH111
+
+    @property
+    def _site_config_dirs(self) -> list[str]:
+        return [self._append_app_name_and_version("/etc/xdg")]
+
+    @property
+    def user_cache_dir(self) -> str:
+        """:returns: cache directory tied to the user, e.g. ``~/.cache/$appname/$version`` or ``$XDG_CACHE_HOME/$appname/$version``"""
+        return self._append_app_name_and_version(os.path.expanduser("~/.cache"))  # noqa: PTH111
+
+    @property
+    def site_cache_dir(self) -> str:
+        """:returns: cache directory shared by users, e.g. ``/var/cache/$appname/$version``"""
+        return self._append_app_name_and_version("/var/cache")
+
+    @property
+    def user_state_dir(self) -> str:
+        """:returns: state directory tied to the user, e.g. ``~/.local/state/$appname/$version`` or ``$XDG_STATE_HOME/$appname/$version``"""
+        return self._append_app_name_and_version(os.path.expanduser("~/.local/state"))  # noqa: PTH111
+
+    @property
+    def site_state_dir(self) -> str:
+        """:returns: state directory shared by users, e.g. ``/var/lib/$appname/$version``"""
+        return self._append_app_name_and_version("/var/lib")
+
+    @property
+    def user_log_dir(self) -> str:
+        """:returns: log directory tied to the user, same as `user_state_dir` if not opinionated else ``log`` in it"""
+        path = self.user_state_dir
+        if self.opinion:
+            path = os.path.join(path, "log")  # noqa: PTH118
+            self._optionally_create_directory(path)
+        return path
+
+    @property
+    def site_log_dir(self) -> str:
+        """:returns: log directory shared by users, e.g. ``/var/log/$appname/$version``
+
+        Unlike `user_log_dir`, ``opinion`` has no effect since ``/var/log`` is inherently a log directory.
+
+        """
+        return self._append_app_name_and_version("/var/log")
+
+    @property
+    def user_documents_dir(self) -> str:
+        """:returns: documents directory tied to the user, e.g. ``~/Documents``"""
+        return _get_user_media_dir("XDG_DOCUMENTS_DIR", "~/Documents")
+
+    @property
+    def user_downloads_dir(self) -> str:
+        """:returns: downloads directory tied to the user, e.g. ``~/Downloads``"""
+        return _get_user_media_dir("XDG_DOWNLOAD_DIR", "~/Downloads")
+
+    @property
+    def user_pictures_dir(self) -> str:
+        """:returns: pictures directory tied to the user, e.g. ``~/Pictures``"""
+        return _get_user_media_dir("XDG_PICTURES_DIR", "~/Pictures")
+
+    @property
+    def user_videos_dir(self) -> str:
+        """:returns: videos directory tied to the user, e.g. ``~/Videos``"""
+        return _get_user_media_dir("XDG_VIDEOS_DIR", "~/Videos")
+
+    @property
+    def user_music_dir(self) -> str:
+        """:returns: music directory tied to the user, e.g. ``~/Music``"""
+        return _get_user_media_dir("XDG_MUSIC_DIR", "~/Music")
+
+    @property
+    def user_desktop_dir(self) -> str:
+        """:returns: desktop directory tied to the user, e.g. ``~/Desktop``"""
+        return _get_user_media_dir("XDG_DESKTOP_DIR", "~/Desktop")
+
+    @property
+    def user_projects_dir(self) -> str:
+        """:returns: projects directory tied to the user, e.g. ``~/Projects``"""
+        return _get_user_media_dir("XDG_PROJECTS_DIR", "~/Projects")
+
+    @property
+    def user_publicshare_dir(self) -> str:
+        """:returns: public share directory tied to the user, e.g. ``~/Public``"""
+        return _get_user_media_dir("XDG_PUBLICSHARE_DIR", "~/Public")
+
+    @property
+    def user_templates_dir(self) -> str:
+        """:returns: templates directory tied to the user, e.g. ``~/Templates``"""
+        return _get_user_media_dir("XDG_TEMPLATES_DIR", "~/Templates")
+
+    @property
+    def user_fonts_dir(self) -> str:
+        """:returns: fonts directory tied to the user, e.g. ``~/.local/share/fonts``"""
+        return f"{os.path.expanduser('~/.local/share')}/fonts"  # noqa: PTH111  # API returns str, not Path
+
+    @property
+    def user_preference_dir(self) -> str:
+        """:returns: preference directory tied to the user, same as ``user_config_dir``"""
+        return self.user_config_dir
+
+    @property
+    def user_bin_dir(self) -> str:
+        """:returns: bin directory tied to the user, e.g. ``~/.local/bin``"""
+        return os.path.expanduser("~/.local/bin")  # noqa: PTH111
+
+    @property
+    def site_bin_dir(self) -> str:
+        """:returns: bin directory shared by users, e.g. ``/usr/local/bin``"""
+        return "/usr/local/bin"
+
+    @property
+    def user_applications_dir(self) -> str:
+        """:returns: applications directory tied to the user, e.g. ``~/.local/share/applications``"""
+        return os.path.join(os.path.expanduser("~/.local/share"), "applications")  # noqa: PTH111, PTH118
+
+    @property
+    def _site_applications_dirs(self) -> list[str]:
+        return [os.path.join(p, "applications") for p in ["/usr/local/share", "/usr/share"]]  # noqa: PTH118
+
+    @property
+    def site_applications_dir(self) -> str:
+        """:returns: applications directory shared by users, e.g. ``/usr/share/applications``"""
+        dirs = self._site_applications_dirs
+        return os.pathsep.join(dirs) if self.multipath else dirs[0]
+
+    @property
+    def user_runtime_dir(self) -> str:
+        """:returns: runtime directory tied to the user, e.g. ``$XDG_RUNTIME_DIR/$appname/$version``.
+
+        If ``$XDG_RUNTIME_DIR`` is unset, tries the platform default (``/tmp/run/user/$(id -u)`` on OpenBSD, ``/var/run/user/$(id -u)`` on FreeBSD/NetBSD, ``/run/user/$(id -u)`` otherwise). If the default is not writable, falls back to a temporary directory.
+
+        """
+        if sys.platform.startswith("openbsd"):
+            path = f"/tmp/run/user/{getuid()}"  # noqa: S108
+        elif sys.platform.startswith(("freebsd", "netbsd")):
+            path = f"/var/run/user/{getuid()}"
+        else:
+            path = f"/run/user/{getuid()}"
+        if not os.access(path, os.W_OK):
+            path = f"{gettempdir()}/runtime-{getuid()}"
+        return self._append_app_name_and_version(path)
+
+    @property
+    def site_runtime_dir(self) -> str:
+        """:returns: runtime directory shared by users, e.g. ``/run/$appname/$version`` or ``$XDG_RUNTIME_DIR/$appname/$version``.
+
+        Note that this behaves almost exactly like `user_runtime_dir` if ``$XDG_RUNTIME_DIR`` is set, but will fall back to paths associated to the root user instead of a regular logged-in user if it's not set.
+
+        If you wish to ensure that a logged-in root user path is returned e.g. ``/run/user/0``, use `user_runtime_dir` instead.
+
+        For FreeBSD/OpenBSD/NetBSD, it would return ``/var/run/$appname/$version`` if ``$XDG_RUNTIME_DIR`` is not set.
+
+        """
+        if sys.platform.startswith(("freebsd", "openbsd", "netbsd")):
+            path = "/var/run"
+        else:
+            path = "/run"
+        return self._append_app_name_and_version(path)
+
+    @property
+    def site_data_path(self) -> Path:
+        """:returns: data path shared by users. Only return the first item, even if ``multipath`` is set to ``True``"""
+        return self._first_item_as_path_if_multipath(self.site_data_dir)
+
+    @property
+    def site_config_path(self) -> Path:
+        """:returns: config path shared by users, returns the first item, even if ``multipath`` is set to ``True``"""
+        return self._first_item_as_path_if_multipath(self.site_config_dir)
+
+    @property
+    def site_cache_path(self) -> Path:
+        """:returns: cache path shared by users. Only return the first item, even if ``multipath`` is set to ``True``"""
+        return self._first_item_as_path_if_multipath(self.site_cache_dir)
+
+    def iter_config_dirs(self) -> Iterator[str]:
+        """:yield: all user and site configuration directories."""
+        if not self._use_site:
+            yield self.user_config_dir
+        yield from self._site_config_dirs
+
+    def iter_data_dirs(self) -> Iterator[str]:
+        """:yield: all user and site data directories."""
+        if not self._use_site:
+            yield self.user_data_dir
+        yield from self._site_data_dirs
+
+
+class Unix(XDGMixin, _UnixDefaults):
+    """On Unix/Linux, we follow the `XDG Basedir Spec `_.
+
+    The spec allows overriding directories with environment variables. The examples shown are the default values,
+    alongside the name of the environment variable that overrides them. Makes use of the `appname
+    `, `version `, `multipath
+    `, `opinion `, `ensure_exists
+    `.
+
+    """
+
+    @property
+    def user_data_dir(self) -> str:
+        """:returns: data directory tied to the user, or site equivalent when root with ``use_site_for_root``"""
+        return self.site_data_dir if self._use_site else super().user_data_dir
+
+    @property
+    def user_config_dir(self) -> str:
+        """:returns: config directory tied to the user, or site equivalent when root with ``use_site_for_root``"""
+        return self.site_config_dir if self._use_site else super().user_config_dir
+
+    @property
+    def user_cache_dir(self) -> str:
+        """:returns: cache directory tied to the user, or site equivalent when root with ``use_site_for_root``"""
+        return self.site_cache_dir if self._use_site else super().user_cache_dir
+
+    @property
+    def user_state_dir(self) -> str:
+        """:returns: state directory tied to the user, or site equivalent when root with ``use_site_for_root``"""
+        return self.site_state_dir if self._use_site else super().user_state_dir
+
+    @property
+    def user_log_dir(self) -> str:
+        """:returns: log directory tied to the user, or site equivalent when root with ``use_site_for_root``"""
+        return self.site_log_dir if self._use_site else super().user_log_dir
+
+    @property
+    def user_applications_dir(self) -> str:
+        """:returns: applications directory tied to the user, or site equivalent when root with ``use_site_for_root``"""
+        return self.site_applications_dir if self._use_site else super().user_applications_dir
+
+    @property
+    def user_runtime_dir(self) -> str:
+        """:returns: runtime directory tied to the user, or site equivalent when root with ``use_site_for_root``"""
+        return self.site_runtime_dir if self._use_site else super().user_runtime_dir
+
+    @property
+    def user_bin_dir(self) -> str:
+        """:returns: bin directory tied to the user, or site equivalent when root with ``use_site_for_root``"""
+        return self.site_bin_dir if self._use_site else super().user_bin_dir
+
+
+def _get_user_media_dir(env_var: str, fallback_tilde_path: str) -> str:
+    if media_dir := _get_user_dirs_folder(env_var):
+        return media_dir
+    return os.path.expanduser(fallback_tilde_path)  # noqa: PTH111
+
+
+def _get_user_dirs_folder(key: str) -> str | None:
+    """Return directory from user-dirs.dirs config file.
+
+    See https://freedesktop.org/wiki/Software/xdg-user-dirs/.
+
+    """
+    config_home = os.environ.get("XDG_CONFIG_HOME", "").strip() or os.path.expanduser("~/.config")  # noqa: PTH111
+    user_dirs_config_path = Path(config_home) / "user-dirs.dirs"
+    if user_dirs_config_path.exists():
+        parser = ConfigParser()
+
+        with user_dirs_config_path.open() as stream:
+            parser.read_string(f"[top]\n{stream.read()}")
+
+        if key not in parser["top"]:
+            return None
+
+        path = parser["top"][key].strip('"')
+        return path.replace("$HOME", os.path.expanduser("~"))  # noqa: PTH111
+
+    return None
+
+
+__all__ = [
+    "Unix",
+]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/version.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/version.py
new file mode 100644
index 0000000000000000000000000000000000000000..a281775fdd87971219e9e6eff0496ad77ec14cd4
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/version.py
@@ -0,0 +1,24 @@
+# file generated by vcs-versioning
+# don't change, don't track in version control
+from __future__ import annotations
+
+__all__ = [
+    "__version__",
+    "__version_tuple__",
+    "version",
+    "version_tuple",
+    "__commit_id__",
+    "commit_id",
+]
+
+version: str
+__version__: str
+__version_tuple__: tuple[int | str, ...]
+version_tuple: tuple[int | str, ...]
+commit_id: str | None
+__commit_id__: str | None
+
+__version__ = version = '4.10.0'
+__version_tuple__ = version_tuple = (4, 10, 0)
+
+__commit_id__ = commit_id = None
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/windows.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/windows.py
new file mode 100644
index 0000000000000000000000000000000000000000..476ffe73605f8399db49b802f8a553211d77cff3
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/platformdirs/windows.py
@@ -0,0 +1,395 @@
+"""Windows."""
+
+from __future__ import annotations
+
+import os
+import sys
+from pathlib import Path
+from typing import TYPE_CHECKING, Final
+
+from .api import PlatformDirsABC
+
+if TYPE_CHECKING:
+    from collections.abc import Callable
+
+# Not exposed by CPython; defined in the Windows SDK (shlobj_core.h)
+_KF_FLAG_DONT_VERIFY: Final[int] = 0x00004000
+
+
+class Windows(PlatformDirsABC):  # noqa: PLR0904
+    """`MSDN on where to store app data files `_.
+
+    Makes use of the `appname `, `appauthor
+    `, `version `, `roaming
+    `, `opinion `, `ensure_exists
+    `.
+
+    """
+
+    @property
+    def user_data_dir(self) -> str:
+        r""":returns: data directory tied to the user, e.g. ``%USERPROFILE%\AppData\Local\$appauthor\$appname`` (not roaming) or ``%USERPROFILE%\AppData\Roaming\$appauthor\$appname`` (roaming)"""
+        const = "CSIDL_APPDATA" if self.roaming else "CSIDL_LOCAL_APPDATA"
+        path = os.path.normpath(get_win_folder(const))
+        return self._append_parts(path)
+
+    def _append_parts(self, path: str, *, opinion_value: str | None = None) -> str:
+        params = []
+        if self.appname:
+            if self.appauthor is not False:
+                author = self.appauthor or self.appname
+                params.append(author)
+            params.append(self.appname)
+            if opinion_value is not None and self.opinion:
+                params.append(opinion_value)
+            if self.version:
+                params.append(self.version)
+        path = os.path.join(path, *params)  # noqa: PTH118
+        self._optionally_create_directory(path)
+        return path
+
+    @property
+    def site_data_dir(self) -> str:
+        r""":returns: data directory shared by users, e.g. ``C:\ProgramData\$appauthor\$appname``"""
+        path = os.path.normpath(get_win_folder("CSIDL_COMMON_APPDATA"))
+        return self._append_parts(path)
+
+    @property
+    def user_config_dir(self) -> str:
+        """:returns: config directory tied to the user, same as `user_data_dir`"""
+        return self.user_data_dir
+
+    @property
+    def site_config_dir(self) -> str:
+        """:returns: config directory shared by users, same as `site_data_dir`"""
+        return self.site_data_dir
+
+    @property
+    def user_cache_dir(self) -> str:
+        r""":returns: cache directory tied to the user (if opinionated with ``Cache`` folder within ``$appname``) e.g. ``%USERPROFILE%\AppData\Local\$appauthor\$appname\Cache\$version``"""
+        path = os.path.normpath(get_win_folder("CSIDL_LOCAL_APPDATA"))
+        return self._append_parts(path, opinion_value="Cache")
+
+    @property
+    def site_cache_dir(self) -> str:
+        r""":returns: cache directory shared by users, e.g. ``C:\ProgramData\$appauthor\$appname\Cache\$version``"""
+        path = os.path.normpath(get_win_folder("CSIDL_COMMON_APPDATA"))
+        return self._append_parts(path, opinion_value="Cache")
+
+    @property
+    def user_state_dir(self) -> str:
+        """:returns: state directory tied to the user, same as `user_data_dir`"""
+        return self.user_data_dir
+
+    @property
+    def site_state_dir(self) -> str:
+        """:returns: state directory shared by users, same as `site_data_dir`"""
+        return self.site_data_dir
+
+    @property
+    def user_log_dir(self) -> str:
+        """:returns: log directory tied to the user, same as `user_data_dir` if not opinionated else ``Logs`` in it"""
+        path = self.user_data_dir
+        if self.opinion:
+            path = os.path.join(path, "Logs")  # noqa: PTH118
+            self._optionally_create_directory(path)
+        return path
+
+    @property
+    def site_log_dir(self) -> str:
+        """:returns: log directory shared by users, same as `site_data_dir` if not opinionated else ``Logs`` in it"""
+        path = self.site_data_dir
+        if self.opinion:
+            path = os.path.join(path, "Logs")  # noqa: PTH118
+            self._optionally_create_directory(path)
+        return path
+
+    @property
+    def user_documents_dir(self) -> str:
+        r""":returns: documents directory tied to the user e.g. ``%USERPROFILE%\Documents``"""
+        return os.path.normpath(get_win_folder("CSIDL_PERSONAL"))
+
+    @property
+    def user_downloads_dir(self) -> str:
+        r""":returns: downloads directory tied to the user e.g. ``%USERPROFILE%\Downloads``"""
+        return os.path.normpath(get_win_folder("CSIDL_DOWNLOADS"))
+
+    @property
+    def user_pictures_dir(self) -> str:
+        r""":returns: pictures directory tied to the user e.g. ``%USERPROFILE%\Pictures``"""
+        return os.path.normpath(get_win_folder("CSIDL_MYPICTURES"))
+
+    @property
+    def user_videos_dir(self) -> str:
+        r""":returns: videos directory tied to the user e.g. ``%USERPROFILE%\Videos``"""
+        return os.path.normpath(get_win_folder("CSIDL_MYVIDEO"))
+
+    @property
+    def user_music_dir(self) -> str:
+        r""":returns: music directory tied to the user e.g. ``%USERPROFILE%\Music``"""
+        return os.path.normpath(get_win_folder("CSIDL_MYMUSIC"))
+
+    @property
+    def user_desktop_dir(self) -> str:
+        r""":returns: desktop directory tied to the user, e.g. ``%USERPROFILE%\Desktop``"""
+        return os.path.normpath(get_win_folder("CSIDL_DESKTOPDIRECTORY"))
+
+    @property
+    def user_projects_dir(self) -> str:
+        r""":returns: projects directory tied to the user, e.g. ``%USERPROFILE%\Projects``"""
+        return os.path.normpath(os.path.expanduser("~/Projects"))  # noqa: PTH111
+
+    @property
+    def user_publicshare_dir(self) -> str:
+        r""":returns: public share directory e.g. ``C:\Users\Public``"""
+        return os.path.normpath(os.environ.get("PUBLIC", str(Path("~").expanduser().parent / "Public")))
+
+    @property
+    def user_templates_dir(self) -> str:
+        r""":returns: templates directory tied to the user e.g. ``%APPDATA%\Microsoft\Windows\Templates``"""
+        return os.path.normpath(str(Path(get_win_folder("CSIDL_APPDATA")) / "Microsoft" / "Windows" / "Templates"))
+
+    @property
+    def user_fonts_dir(self) -> str:
+        r""":returns: fonts directory tied to the user e.g. ``%LOCALAPPDATA%\Microsoft\Windows\Fonts``"""
+        return os.path.normpath(str(Path(get_win_folder("CSIDL_LOCAL_APPDATA")) / "Microsoft" / "Windows" / "Fonts"))
+
+    @property
+    def user_preference_dir(self) -> str:
+        r""":returns: preference directory tied to the user, same as ``user_config_dir``"""
+        return self.user_config_dir
+
+    @property
+    def user_bin_dir(self) -> str:
+        r""":returns: bin directory tied to the user, e.g. ``%LOCALAPPDATA%\Programs``"""
+        return os.path.normpath(os.path.join(get_win_folder("CSIDL_LOCAL_APPDATA"), "Programs"))  # noqa: PTH118
+
+    @property
+    def site_bin_dir(self) -> str:
+        """:returns: bin directory shared by users, e.g. ``C:\\ProgramData\bin``"""
+        return os.path.normpath(os.path.join(get_win_folder("CSIDL_COMMON_APPDATA"), "bin"))  # noqa: PTH118
+
+    @property
+    def user_applications_dir(self) -> str:
+        r""":returns: applications directory tied to the user, e.g. ``Start Menu\Programs``"""
+        return os.path.normpath(get_win_folder("CSIDL_PROGRAMS"))
+
+    @property
+    def site_applications_dir(self) -> str:
+        r""":returns: applications directory shared by users, e.g. ``C:\ProgramData\Microsoft\Windows\Start Menu\Programs``"""
+        return os.path.normpath(get_win_folder("CSIDL_COMMON_PROGRAMS"))
+
+    @property
+    def user_runtime_dir(self) -> str:
+        r""":returns: runtime directory tied to the user, e.g. ``%USERPROFILE%\AppData\Local\Temp\$appauthor\$appname``"""
+        path = os.path.normpath(os.path.join(get_win_folder("CSIDL_LOCAL_APPDATA"), "Temp"))  # noqa: PTH118
+        return self._append_parts(path)
+
+    @property
+    def site_runtime_dir(self) -> str:
+        """:returns: runtime directory shared by users, same as `user_runtime_dir`"""
+        return self.user_runtime_dir
+
+
+def get_win_folder_from_env_vars(csidl_name: str) -> str:
+    """Get folder from environment variables."""
+    result = get_win_folder_if_csidl_name_not_env_var(csidl_name)
+    if result is not None:
+        return result
+
+    env_var_name = {
+        "CSIDL_APPDATA": "APPDATA",
+        "CSIDL_COMMON_APPDATA": "ALLUSERSPROFILE",
+        "CSIDL_LOCAL_APPDATA": "LOCALAPPDATA",
+    }.get(csidl_name)
+    if env_var_name is None:
+        msg = f"Unknown CSIDL name: {csidl_name}"
+        raise ValueError(msg)
+    result = os.environ.get(env_var_name)
+    if result is None:
+        msg = f"Unset environment variable: {env_var_name}"
+        raise ValueError(msg)
+    return result
+
+
+def get_win_folder_if_csidl_name_not_env_var(csidl_name: str) -> str | None:  # noqa: PLR0911
+    """Get a folder for a CSIDL name that does not exist as an environment variable."""
+    if csidl_name == "CSIDL_PERSONAL":
+        return os.path.join(os.path.normpath(os.environ["USERPROFILE"]), "Documents")  # noqa: PTH118
+
+    if csidl_name == "CSIDL_DOWNLOADS":
+        return os.path.join(os.path.normpath(os.environ["USERPROFILE"]), "Downloads")  # noqa: PTH118
+
+    if csidl_name == "CSIDL_MYPICTURES":
+        return os.path.join(os.path.normpath(os.environ["USERPROFILE"]), "Pictures")  # noqa: PTH118
+
+    if csidl_name == "CSIDL_MYVIDEO":
+        return os.path.join(os.path.normpath(os.environ["USERPROFILE"]), "Videos")  # noqa: PTH118
+
+    if csidl_name == "CSIDL_MYMUSIC":
+        return os.path.join(os.path.normpath(os.environ["USERPROFILE"]), "Music")  # noqa: PTH118
+
+    if csidl_name == "CSIDL_PROGRAMS":
+        return os.path.join(  # noqa: PTH118
+            os.path.normpath(os.environ["APPDATA"]),
+            "Microsoft",
+            "Windows",
+            "Start Menu",
+            "Programs",
+        )
+
+    if csidl_name == "CSIDL_COMMON_PROGRAMS":
+        return os.path.join(  # noqa: PTH118
+            os.path.normpath(os.environ.get("PROGRAMDATA", os.environ.get("ALLUSERSPROFILE", "C:\\ProgramData"))),
+            "Microsoft",
+            "Windows",
+            "Start Menu",
+            "Programs",
+        )
+    return None
+
+
+def get_win_folder_from_registry(csidl_name: str) -> str:
+    """Get folder from the registry.
+
+    This is a fallback technique at best. I'm not sure if using the registry for these guarantees us the correct answer
+    for all CSIDL_* names.
+
+    """
+    machine_names = {
+        "CSIDL_COMMON_APPDATA",
+        "CSIDL_COMMON_PROGRAMS",
+    }
+    shell_folder_name = {
+        "CSIDL_APPDATA": "AppData",
+        "CSIDL_COMMON_APPDATA": "Common AppData",
+        "CSIDL_LOCAL_APPDATA": "Local AppData",
+        "CSIDL_PERSONAL": "Personal",
+        "CSIDL_DOWNLOADS": "{374DE290-123F-4565-9164-39C4925E467B}",
+        "CSIDL_MYPICTURES": "My Pictures",
+        "CSIDL_MYVIDEO": "My Video",
+        "CSIDL_MYMUSIC": "My Music",
+        "CSIDL_PROGRAMS": "Programs",
+        "CSIDL_COMMON_PROGRAMS": "Common Programs",
+    }.get(csidl_name)
+    if shell_folder_name is None:
+        msg = f"Unknown CSIDL name: {csidl_name}"
+        raise ValueError(msg)
+    if sys.platform != "win32":  # only needed for mypy type checker to know that this code runs only on Windows
+        raise NotImplementedError
+    import winreg  # noqa: PLC0415
+
+    # Use HKEY_LOCAL_MACHINE for system-wide folders, HKEY_CURRENT_USER for user-specific folders
+    hkey = winreg.HKEY_LOCAL_MACHINE if csidl_name in machine_names else winreg.HKEY_CURRENT_USER
+
+    key = winreg.OpenKey(hkey, r"Software\Microsoft\Windows\CurrentVersion\Explorer\Shell Folders")
+    directory, _ = winreg.QueryValueEx(key, shell_folder_name)
+    return str(directory)
+
+
+_KNOWN_FOLDER_GUIDS: dict[str, str] = {
+    "CSIDL_APPDATA": "{3EB685DB-65F9-4CF6-A03A-E3EF65729F3D}",
+    "CSIDL_COMMON_APPDATA": "{62AB5D82-FDC1-4DC3-A9DD-070D1D495D97}",
+    "CSIDL_LOCAL_APPDATA": "{F1B32785-6FBA-4FCF-9D55-7B8E7F157091}",
+    "CSIDL_PERSONAL": "{FDD39AD0-238F-46AF-ADB4-6C85480369C7}",
+    "CSIDL_MYPICTURES": "{33E28130-4E1E-4676-835A-98395C3BC3BB}",
+    "CSIDL_MYVIDEO": "{18989B1D-99B5-455B-841C-AB7C74E4DDFC}",
+    "CSIDL_MYMUSIC": "{4BD8D571-6D19-48D3-BE97-422220080E43}",
+    "CSIDL_DOWNLOADS": "{374DE290-123F-4565-9164-39C4925E467B}",
+    "CSIDL_DESKTOPDIRECTORY": "{B4BFCC3A-DB2C-424C-B029-7FE99A87C641}",
+    "CSIDL_PROGRAMS": "{A77F5D77-2E2B-44C3-A6A2-ABA601054A51}",
+    "CSIDL_COMMON_PROGRAMS": "{0139D44E-6AFE-49F2-8690-3DAFCAE6FFB8}",
+}
+
+
+def get_win_folder_via_ctypes(csidl_name: str) -> str:
+    """Get folder via :func:`SHGetKnownFolderPath`.
+
+    See https://learn.microsoft.com/en-us/windows/win32/api/shlobj_core/nf-shlobj_core-shgetknownfolderpath.
+
+    """
+    if sys.platform != "win32":  # only needed for type checker to know that this code runs only on Windows
+        raise NotImplementedError
+    from ctypes import HRESULT, POINTER, Structure, WinDLL, byref, create_unicode_buffer, wintypes  # noqa: PLC0415
+
+    class _GUID(Structure):
+        _fields_ = [
+            ("Data1", wintypes.DWORD),
+            ("Data2", wintypes.WORD),
+            ("Data3", wintypes.WORD),
+            ("Data4", wintypes.BYTE * 8),
+        ]
+
+    ole32 = WinDLL("ole32")
+    ole32.CLSIDFromString.restype = HRESULT
+    ole32.CLSIDFromString.argtypes = [wintypes.LPCOLESTR, POINTER(_GUID)]
+    ole32.CoTaskMemFree.restype = None
+    ole32.CoTaskMemFree.argtypes = [wintypes.LPVOID]
+
+    shell32 = WinDLL("shell32")
+    shell32.SHGetKnownFolderPath.restype = HRESULT
+    shell32.SHGetKnownFolderPath.argtypes = [POINTER(_GUID), wintypes.DWORD, wintypes.HANDLE, POINTER(wintypes.LPWSTR)]
+
+    kernel32 = WinDLL("kernel32")
+    kernel32.GetShortPathNameW.restype = wintypes.DWORD
+    kernel32.GetShortPathNameW.argtypes = [wintypes.LPWSTR, wintypes.LPWSTR, wintypes.DWORD]
+
+    folder_guid = _KNOWN_FOLDER_GUIDS.get(csidl_name)
+    if folder_guid is None:
+        msg = f"Unknown CSIDL name: {csidl_name}"
+        raise ValueError(msg)
+
+    guid = _GUID()
+    ole32.CLSIDFromString(folder_guid, byref(guid))
+
+    path_ptr = wintypes.LPWSTR()
+    shell32.SHGetKnownFolderPath(byref(guid), _KF_FLAG_DONT_VERIFY, None, byref(path_ptr))
+    result = path_ptr.value
+    ole32.CoTaskMemFree(path_ptr)
+
+    if result is None:
+        msg = f"SHGetKnownFolderPath returned NULL for {csidl_name}"
+        raise ValueError(msg)
+
+    if any(ord(c) > 255 for c in result):  # noqa: PLR2004
+        buf = create_unicode_buffer(1024)
+        if kernel32.GetShortPathNameW(result, buf, 1024):
+            result = buf.value
+
+    return result
+
+
+def _pick_get_win_folder() -> Callable[[str], str]:
+    """Select the best method to resolve Windows folder paths: ctypes, then registry, then environment variables."""
+    try:
+        import ctypes  # noqa: PLC0415, F401
+    except ImportError:
+        pass
+    else:
+        return get_win_folder_via_ctypes
+    try:
+        import winreg  # noqa: PLC0415, F401
+    except ImportError:
+        return get_win_folder_from_env_vars
+    else:
+        return get_win_folder_from_registry
+
+
+_resolve_win_folder = _pick_get_win_folder()
+
+
+def get_win_folder(csidl_name: str) -> str:
+    """Get a Windows folder path, checking for ``WIN_PD_OVERRIDE_*`` environment variable overrides first.
+
+    For example, ``CSIDL_LOCAL_APPDATA`` can be overridden by setting ``WIN_PD_OVERRIDE_LOCAL_APPDATA``.
+
+    """
+    env_var = f"WIN_PD_OVERRIDE_{csidl_name.removeprefix('CSIDL_')}"
+    if override := os.environ.get(env_var, "").strip():
+        return override
+    return _resolve_win_folder(csidl_name)
+
+
+__all__ = [
+    "Windows",
+]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/LICENSE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/LICENSE
new file mode 100644
index 0000000000000000000000000000000000000000..446a1a805c8a949579fb8a9799f2bec7777349dc
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/LICENSE
@@ -0,0 +1,25 @@
+Copyright (c) 2006-2022 by the respective authors (see AUTHORS file).
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+* Redistributions of source code must retain the above copyright
+  notice, this list of conditions and the following disclaimer.
+
+* Redistributions in binary form must reproduce the above copyright
+  notice, this list of conditions and the following disclaimer in the
+  documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..974f5bb8b6358b9de73115084e048c5ee67238ad
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/__init__.py
@@ -0,0 +1,82 @@
+"""
+    Pygments
+    ~~~~~~~~
+
+    Pygments is a syntax highlighting package written in Python.
+
+    It is a generic syntax highlighter for general use in all kinds of software
+    such as forum systems, wikis or other applications that need to prettify
+    source code. Highlights are:
+
+    * a wide range of common languages and markup formats is supported
+    * special attention is paid to details, increasing quality by a fair amount
+    * support for new languages and formats are added easily
+    * a number of output formats, presently HTML, LaTeX, RTF, SVG, all image
+      formats that PIL supports, and ANSI sequences
+    * it is usable as a command-line tool and as a library
+    * ... and it highlights even Brainfuck!
+
+    The `Pygments master branch`_ is installable with ``easy_install Pygments==dev``.
+
+    .. _Pygments master branch:
+       https://github.com/pygments/pygments/archive/master.zip#egg=Pygments-dev
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+from io import StringIO, BytesIO
+
+__version__ = '2.20.0'
+__docformat__ = 'restructuredtext'
+
+__all__ = ['lex', 'format', 'highlight']
+
+
+def lex(code, lexer):
+    """
+    Lex `code` with the `lexer` (must be a `Lexer` instance)
+    and return an iterable of tokens. Currently, this only calls
+    `lexer.get_tokens()`.
+    """
+    try:
+        return lexer.get_tokens(code)
+    except TypeError:
+        # Heuristic to catch a common mistake.
+        from pip._vendor.pygments.lexer import RegexLexer
+        if isinstance(lexer, type) and issubclass(lexer, RegexLexer):
+            raise TypeError('lex() argument must be a lexer instance, '
+                            'not a class')
+        raise
+
+
+def format(tokens, formatter, outfile=None):  # pylint: disable=redefined-builtin
+    """
+    Format ``tokens`` (an iterable of tokens) with the formatter ``formatter``
+    (a `Formatter` instance).
+
+    If ``outfile`` is given and a valid file object (an object with a
+    ``write`` method), the result will be written to it, otherwise it
+    is returned as a string.
+    """
+    try:
+        if not outfile:
+            realoutfile = getattr(formatter, 'encoding', None) and BytesIO() or StringIO()
+            formatter.format(tokens, realoutfile)
+            return realoutfile.getvalue()
+        else:
+            formatter.format(tokens, outfile)
+    except TypeError:
+        # Heuristic to catch a common mistake.
+        from pip._vendor.pygments.formatter import Formatter
+        if isinstance(formatter, type) and issubclass(formatter, Formatter):
+            raise TypeError('format() argument must be a formatter instance, '
+                            'not a class')
+        raise
+
+
+def highlight(code, lexer, formatter, outfile=None):
+    """
+    This is the most high-level highlighting function. It combines `lex` and
+    `format` in one function.
+    """
+    return format(lex(code, lexer), formatter, outfile)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/__main__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/__main__.py
new file mode 100644
index 0000000000000000000000000000000000000000..bdafd1a436f8b536e5bcef48606178acc675d489
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/__main__.py
@@ -0,0 +1,17 @@
+"""
+    pygments.__main__
+    ~~~~~~~~~~~~~~~~~
+
+    Main entry point for ``python -m pygments``.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+import sys
+from pip._vendor.pygments.cmdline import main
+
+try:
+    sys.exit(main(sys.argv))
+except KeyboardInterrupt:
+    sys.exit(1)
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/console.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/console.py
new file mode 100644
index 0000000000000000000000000000000000000000..d9009168cadbe25ba0bb1fc5427a5db0f1582830
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/console.py
@@ -0,0 +1,70 @@
+"""
+    pygments.console
+    ~~~~~~~~~~~~~~~~
+
+    Format colored console output.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+esc = "\x1b["
+
+codes = {}
+codes[""] = ""
+codes["reset"] = esc + "39;49;00m"
+
+codes["bold"] = esc + "01m"
+codes["faint"] = esc + "02m"
+codes["standout"] = esc + "03m"
+codes["underline"] = esc + "04m"
+codes["blink"] = esc + "05m"
+codes["overline"] = esc + "06m"
+
+dark_colors = ["black", "red", "green", "yellow", "blue",
+               "magenta", "cyan", "gray"]
+light_colors = ["brightblack", "brightred", "brightgreen", "brightyellow", "brightblue",
+                "brightmagenta", "brightcyan", "white"]
+
+x = 30
+for dark, light in zip(dark_colors, light_colors):
+    codes[dark] = esc + "%im" % x
+    codes[light] = esc + "%im" % (60 + x)
+    x += 1
+
+del dark, light, x
+
+codes["white"] = codes["bold"]
+
+
+def reset_color():
+    return codes["reset"]
+
+
+def colorize(color_key, text):
+    return codes[color_key] + text + codes["reset"]
+
+
+def ansiformat(attr, text):
+    """
+    Format ``text`` with a color and/or some attributes::
+
+        color       normal color
+        *color*     bold color
+        _color_     underlined color
+        +color+     blinking color
+    """
+    result = []
+    if attr[:1] == attr[-1:] == '+':
+        result.append(codes['blink'])
+        attr = attr[1:-1]
+    if attr[:1] == attr[-1:] == '*':
+        result.append(codes['bold'])
+        attr = attr[1:-1]
+    if attr[:1] == attr[-1:] == '_':
+        result.append(codes['underline'])
+        attr = attr[1:-1]
+    result.append(codes[attr])
+    result.append(text)
+    result.append(codes['reset'])
+    return ''.join(result)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/filter.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/filter.py
new file mode 100644
index 0000000000000000000000000000000000000000..6c926c26cfcf0ca7579f05affcab46c389595b71
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/filter.py
@@ -0,0 +1,70 @@
+"""
+    pygments.filter
+    ~~~~~~~~~~~~~~~
+
+    Module that implements the default filter.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+
+def apply_filters(stream, filters, lexer=None):
+    """
+    Use this method to apply an iterable of filters to
+    a stream. If lexer is given it's forwarded to the
+    filter, otherwise the filter receives `None`.
+    """
+    def _apply(filter_, stream):
+        yield from filter_.filter(lexer, stream)
+    for filter_ in filters:
+        stream = _apply(filter_, stream)
+    return stream
+
+
+def simplefilter(f):
+    """
+    Decorator that converts a function into a filter::
+
+        @simplefilter
+        def lowercase(self, lexer, stream, options):
+            for ttype, value in stream:
+                yield ttype, value.lower()
+    """
+    return type(f.__name__, (FunctionFilter,), {
+        '__module__': getattr(f, '__module__'),
+        '__doc__': f.__doc__,
+        'function': f,
+    })
+
+
+class Filter:
+    """
+    Default filter. Subclass this class or use the `simplefilter`
+    decorator to create own filters.
+    """
+
+    def __init__(self, **options):
+        self.options = options
+
+    def filter(self, lexer, stream):
+        raise NotImplementedError()
+
+
+class FunctionFilter(Filter):
+    """
+    Abstract class used by `simplefilter` to create simple
+    function filters on the fly. The `simplefilter` decorator
+    automatically creates subclasses of this class for
+    functions passed to it.
+    """
+    function = None
+
+    def __init__(self, **options):
+        if not hasattr(self, 'function'):
+            raise TypeError(f'{self.__class__.__name__!r} used without bound function')
+        Filter.__init__(self, **options)
+
+    def filter(self, lexer, stream):
+        # pylint: disable=not-callable
+        yield from self.function(lexer, stream, self.options)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/filters/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/filters/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..01e320741bc6197045cf0f4bcdb0bf787e724e01
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/filters/__init__.py
@@ -0,0 +1,942 @@
+"""
+    pygments.filters
+    ~~~~~~~~~~~~~~~~
+
+    Module containing filter lookup functions and default
+    filters.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+import re
+
+from pip._vendor.pygments.token import String, Comment, Keyword, Name, Error, Whitespace, \
+    string_to_tokentype
+from pip._vendor.pygments.filter import Filter
+from pip._vendor.pygments.util import get_list_opt, get_int_opt, get_bool_opt, \
+    get_choice_opt, ClassNotFound, OptionError
+from pip._vendor.pygments.plugin import find_plugin_filters
+
+
+def find_filter_class(filtername):
+    """Lookup a filter by name. Return None if not found."""
+    if filtername in FILTERS:
+        return FILTERS[filtername]
+    for name, cls in find_plugin_filters():
+        if name == filtername:
+            return cls
+    return None
+
+
+def get_filter_by_name(filtername, **options):
+    """Return an instantiated filter.
+
+    Options are passed to the filter initializer if wanted.
+    Raise a ClassNotFound if not found.
+    """
+    cls = find_filter_class(filtername)
+    if cls:
+        return cls(**options)
+    else:
+        raise ClassNotFound(f'filter {filtername!r} not found')
+
+
+def get_all_filters():
+    """Return a generator of all filter names."""
+    yield from FILTERS
+    for name, _ in find_plugin_filters():
+        yield name
+
+
+def _replace_special(ttype, value, regex, specialttype,
+                     replacefunc=lambda x: x):
+    last = 0
+    for match in regex.finditer(value):
+        start, end = match.start(), match.end()
+        if start != last:
+            yield ttype, value[last:start]
+        yield specialttype, replacefunc(value[start:end])
+        last = end
+    if last != len(value):
+        yield ttype, value[last:]
+
+
+class CodeTagFilter(Filter):
+    """Highlight special code tags in comments and docstrings.
+
+    Options accepted:
+
+    `codetags` : list of strings
+       A list of strings that are flagged as code tags.  The default is to
+       highlight ``XXX``, ``TODO``, ``FIXME``, ``BUG`` and ``NOTE``.
+
+    .. versionchanged:: 2.13
+       Now recognizes ``FIXME`` by default.
+    """
+
+    def __init__(self, **options):
+        Filter.__init__(self, **options)
+        tags = get_list_opt(options, 'codetags',
+                            ['XXX', 'TODO', 'FIXME', 'BUG', 'NOTE'])
+        self.tag_re = re.compile(r'\b({})\b'.format('|'.join([
+            re.escape(tag) for tag in tags if tag
+        ])))
+
+    def filter(self, lexer, stream):
+        regex = self.tag_re
+        for ttype, value in stream:
+            if ttype in String.Doc or \
+               ttype in Comment and \
+               ttype not in Comment.Preproc:
+                yield from _replace_special(ttype, value, regex, Comment.Special)
+            else:
+                yield ttype, value
+
+
+class SymbolFilter(Filter):
+    """Convert mathematical symbols into Unicode characters.
+
+    Examples are ``\\`` in Isabelle or
+    ``\\longrightarrow`` in LaTeX.
+
+    This is mostly useful for HTML or console output when you want to
+    approximate the source rendering you'd see in an IDE.
+
+    Options accepted:
+
+    `lang` : string
+       The symbol language. Must be one of ``'isabelle'`` or
+       ``'latex'``.  The default is ``'isabelle'``.
+    """
+
+    latex_symbols = {
+        '\\alpha'                : '\U000003b1',
+        '\\beta'                 : '\U000003b2',
+        '\\gamma'                : '\U000003b3',
+        '\\delta'                : '\U000003b4',
+        '\\varepsilon'           : '\U000003b5',
+        '\\zeta'                 : '\U000003b6',
+        '\\eta'                  : '\U000003b7',
+        '\\vartheta'             : '\U000003b8',
+        '\\iota'                 : '\U000003b9',
+        '\\kappa'                : '\U000003ba',
+        '\\lambda'               : '\U000003bb',
+        '\\mu'                   : '\U000003bc',
+        '\\nu'                   : '\U000003bd',
+        '\\xi'                   : '\U000003be',
+        '\\pi'                   : '\U000003c0',
+        '\\varrho'               : '\U000003c1',
+        '\\sigma'                : '\U000003c3',
+        '\\tau'                  : '\U000003c4',
+        '\\upsilon'              : '\U000003c5',
+        '\\varphi'               : '\U000003c6',
+        '\\chi'                  : '\U000003c7',
+        '\\psi'                  : '\U000003c8',
+        '\\omega'                : '\U000003c9',
+        '\\Gamma'                : '\U00000393',
+        '\\Delta'                : '\U00000394',
+        '\\Theta'                : '\U00000398',
+        '\\Lambda'               : '\U0000039b',
+        '\\Xi'                   : '\U0000039e',
+        '\\Pi'                   : '\U000003a0',
+        '\\Sigma'                : '\U000003a3',
+        '\\Upsilon'              : '\U000003a5',
+        '\\Phi'                  : '\U000003a6',
+        '\\Psi'                  : '\U000003a8',
+        '\\Omega'                : '\U000003a9',
+        '\\leftarrow'            : '\U00002190',
+        '\\longleftarrow'        : '\U000027f5',
+        '\\rightarrow'           : '\U00002192',
+        '\\longrightarrow'       : '\U000027f6',
+        '\\Leftarrow'            : '\U000021d0',
+        '\\Longleftarrow'        : '\U000027f8',
+        '\\Rightarrow'           : '\U000021d2',
+        '\\Longrightarrow'       : '\U000027f9',
+        '\\leftrightarrow'       : '\U00002194',
+        '\\longleftrightarrow'   : '\U000027f7',
+        '\\Leftrightarrow'       : '\U000021d4',
+        '\\Longleftrightarrow'   : '\U000027fa',
+        '\\mapsto'               : '\U000021a6',
+        '\\longmapsto'           : '\U000027fc',
+        '\\relbar'               : '\U00002500',
+        '\\Relbar'               : '\U00002550',
+        '\\hookleftarrow'        : '\U000021a9',
+        '\\hookrightarrow'       : '\U000021aa',
+        '\\leftharpoondown'      : '\U000021bd',
+        '\\rightharpoondown'     : '\U000021c1',
+        '\\leftharpoonup'        : '\U000021bc',
+        '\\rightharpoonup'       : '\U000021c0',
+        '\\rightleftharpoons'    : '\U000021cc',
+        '\\leadsto'              : '\U0000219d',
+        '\\downharpoonleft'      : '\U000021c3',
+        '\\downharpoonright'     : '\U000021c2',
+        '\\upharpoonleft'        : '\U000021bf',
+        '\\upharpoonright'       : '\U000021be',
+        '\\restriction'          : '\U000021be',
+        '\\uparrow'              : '\U00002191',
+        '\\Uparrow'              : '\U000021d1',
+        '\\downarrow'            : '\U00002193',
+        '\\Downarrow'            : '\U000021d3',
+        '\\updownarrow'          : '\U00002195',
+        '\\Updownarrow'          : '\U000021d5',
+        '\\langle'               : '\U000027e8',
+        '\\rangle'               : '\U000027e9',
+        '\\lceil'                : '\U00002308',
+        '\\rceil'                : '\U00002309',
+        '\\lfloor'               : '\U0000230a',
+        '\\rfloor'               : '\U0000230b',
+        '\\flqq'                 : '\U000000ab',
+        '\\frqq'                 : '\U000000bb',
+        '\\bot'                  : '\U000022a5',
+        '\\top'                  : '\U000022a4',
+        '\\wedge'                : '\U00002227',
+        '\\bigwedge'             : '\U000022c0',
+        '\\vee'                  : '\U00002228',
+        '\\bigvee'               : '\U000022c1',
+        '\\forall'               : '\U00002200',
+        '\\exists'               : '\U00002203',
+        '\\nexists'              : '\U00002204',
+        '\\neg'                  : '\U000000ac',
+        '\\Box'                  : '\U000025a1',
+        '\\Diamond'              : '\U000025c7',
+        '\\vdash'                : '\U000022a2',
+        '\\models'               : '\U000022a8',
+        '\\dashv'                : '\U000022a3',
+        '\\surd'                 : '\U0000221a',
+        '\\le'                   : '\U00002264',
+        '\\ge'                   : '\U00002265',
+        '\\ll'                   : '\U0000226a',
+        '\\gg'                   : '\U0000226b',
+        '\\lesssim'              : '\U00002272',
+        '\\gtrsim'               : '\U00002273',
+        '\\lessapprox'           : '\U00002a85',
+        '\\gtrapprox'            : '\U00002a86',
+        '\\in'                   : '\U00002208',
+        '\\notin'                : '\U00002209',
+        '\\subset'               : '\U00002282',
+        '\\supset'               : '\U00002283',
+        '\\subseteq'             : '\U00002286',
+        '\\supseteq'             : '\U00002287',
+        '\\sqsubset'             : '\U0000228f',
+        '\\sqsupset'             : '\U00002290',
+        '\\sqsubseteq'           : '\U00002291',
+        '\\sqsupseteq'           : '\U00002292',
+        '\\cap'                  : '\U00002229',
+        '\\bigcap'               : '\U000022c2',
+        '\\cup'                  : '\U0000222a',
+        '\\bigcup'               : '\U000022c3',
+        '\\sqcup'                : '\U00002294',
+        '\\bigsqcup'             : '\U00002a06',
+        '\\sqcap'                : '\U00002293',
+        '\\Bigsqcap'             : '\U00002a05',
+        '\\setminus'             : '\U00002216',
+        '\\propto'               : '\U0000221d',
+        '\\uplus'                : '\U0000228e',
+        '\\bigplus'              : '\U00002a04',
+        '\\sim'                  : '\U0000223c',
+        '\\doteq'                : '\U00002250',
+        '\\simeq'                : '\U00002243',
+        '\\approx'               : '\U00002248',
+        '\\asymp'                : '\U0000224d',
+        '\\cong'                 : '\U00002245',
+        '\\equiv'                : '\U00002261',
+        '\\Join'                 : '\U000022c8',
+        '\\bowtie'               : '\U00002a1d',
+        '\\prec'                 : '\U0000227a',
+        '\\succ'                 : '\U0000227b',
+        '\\preceq'               : '\U0000227c',
+        '\\succeq'               : '\U0000227d',
+        '\\parallel'             : '\U00002225',
+        '\\mid'                  : '\U000000a6',
+        '\\pm'                   : '\U000000b1',
+        '\\mp'                   : '\U00002213',
+        '\\times'                : '\U000000d7',
+        '\\div'                  : '\U000000f7',
+        '\\cdot'                 : '\U000022c5',
+        '\\star'                 : '\U000022c6',
+        '\\circ'                 : '\U00002218',
+        '\\dagger'               : '\U00002020',
+        '\\ddagger'              : '\U00002021',
+        '\\lhd'                  : '\U000022b2',
+        '\\rhd'                  : '\U000022b3',
+        '\\unlhd'                : '\U000022b4',
+        '\\unrhd'                : '\U000022b5',
+        '\\triangleleft'         : '\U000025c3',
+        '\\triangleright'        : '\U000025b9',
+        '\\triangle'             : '\U000025b3',
+        '\\triangleq'            : '\U0000225c',
+        '\\oplus'                : '\U00002295',
+        '\\bigoplus'             : '\U00002a01',
+        '\\otimes'               : '\U00002297',
+        '\\bigotimes'            : '\U00002a02',
+        '\\odot'                 : '\U00002299',
+        '\\bigodot'              : '\U00002a00',
+        '\\ominus'               : '\U00002296',
+        '\\oslash'               : '\U00002298',
+        '\\dots'                 : '\U00002026',
+        '\\cdots'                : '\U000022ef',
+        '\\sum'                  : '\U00002211',
+        '\\prod'                 : '\U0000220f',
+        '\\coprod'               : '\U00002210',
+        '\\infty'                : '\U0000221e',
+        '\\int'                  : '\U0000222b',
+        '\\oint'                 : '\U0000222e',
+        '\\clubsuit'             : '\U00002663',
+        '\\diamondsuit'          : '\U00002662',
+        '\\heartsuit'            : '\U00002661',
+        '\\spadesuit'            : '\U00002660',
+        '\\aleph'                : '\U00002135',
+        '\\emptyset'             : '\U00002205',
+        '\\nabla'                : '\U00002207',
+        '\\partial'              : '\U00002202',
+        '\\flat'                 : '\U0000266d',
+        '\\natural'              : '\U0000266e',
+        '\\sharp'                : '\U0000266f',
+        '\\angle'                : '\U00002220',
+        '\\copyright'            : '\U000000a9',
+        '\\textregistered'       : '\U000000ae',
+        '\\textonequarter'       : '\U000000bc',
+        '\\textonehalf'          : '\U000000bd',
+        '\\textthreequarters'    : '\U000000be',
+        '\\textordfeminine'      : '\U000000aa',
+        '\\textordmasculine'     : '\U000000ba',
+        '\\euro'                 : '\U000020ac',
+        '\\pounds'               : '\U000000a3',
+        '\\yen'                  : '\U000000a5',
+        '\\textcent'             : '\U000000a2',
+        '\\textcurrency'         : '\U000000a4',
+        '\\textdegree'           : '\U000000b0',
+    }
+
+    isabelle_symbols = {
+        '\\'                 : '\U0001d7ec',
+        '\\'                  : '\U0001d7ed',
+        '\\'                  : '\U0001d7ee',
+        '\\'                : '\U0001d7ef',
+        '\\'                 : '\U0001d7f0',
+        '\\'                 : '\U0001d7f1',
+        '\\'                  : '\U0001d7f2',
+        '\\'                : '\U0001d7f3',
+        '\\'                : '\U0001d7f4',
+        '\\'                 : '\U0001d7f5',
+        '\\'                    : '\U0001d49c',
+        '\\'                    : '\U0000212c',
+        '\\'                    : '\U0001d49e',
+        '\\'                    : '\U0001d49f',
+        '\\'                    : '\U00002130',
+        '\\'                    : '\U00002131',
+        '\\'                    : '\U0001d4a2',
+        '\\'                    : '\U0000210b',
+        '\\'                    : '\U00002110',
+        '\\'                    : '\U0001d4a5',
+        '\\'                    : '\U0001d4a6',
+        '\\'                    : '\U00002112',
+        '\\'                    : '\U00002133',
+        '\\'                    : '\U0001d4a9',
+        '\\'                    : '\U0001d4aa',
+        '\\
'                    : '\U0001d5c9',
+        '\\'                    : '\U0001d5ca',
+        '\\'                    : '\U0001d5cb',
+        '\\'                    : '\U0001d5cc',
+        '\\'                    : '\U0001d5cd',
+        '\\'                    : '\U0001d5ce',
+        '\\'                    : '\U0001d5cf',
+        '\\'                    : '\U0001d5d0',
+        '\\'                    : '\U0001d5d1',
+        '\\'                    : '\U0001d5d2',
+        '\\'                    : '\U0001d5d3',
+        '\\'                   : '\U0001d504',
+        '\\'                   : '\U0001d505',
+        '\\'                   : '\U0000212d',
+        '\\
'                   : '\U0001d507',
+        '\\'                   : '\U0001d508',
+        '\\'                   : '\U0001d509',
+        '\\'                   : '\U0001d50a',
+        '\\'                   : '\U0000210c',
+        '\\'                   : '\U00002111',
+        '\\'                   : '\U0001d50d',
+        '\\'                   : '\U0001d50e',
+        '\\'                   : '\U0001d50f',
+        '\\'                   : '\U0001d510',
+        '\\'                   : '\U0001d511',
+        '\\'                   : '\U0001d512',
+        '\\'                   : '\U0001d513',
+        '\\'                   : '\U0001d514',
+        '\\'                   : '\U0000211c',
+        '\\'                   : '\U0001d516',
+        '\\'                   : '\U0001d517',
+        '\\'                   : '\U0001d518',
+        '\\'                   : '\U0001d519',
+        '\\'                   : '\U0001d51a',
+        '\\'                   : '\U0001d51b',
+        '\\'                   : '\U0001d51c',
+        '\\'                   : '\U00002128',
+        '\\'                   : '\U0001d51e',
+        '\\'                   : '\U0001d51f',
+        '\\'                   : '\U0001d520',
+        '\\
'                   : '\U0001d521',
+        '\\'                   : '\U0001d522',
+        '\\'                   : '\U0001d523',
+        '\\'                   : '\U0001d524',
+        '\\'                   : '\U0001d525',
+        '\\'                   : '\U0001d526',
+        '\\'                   : '\U0001d527',
+        '\\'                   : '\U0001d528',
+        '\\'                   : '\U0001d529',
+        '\\'                   : '\U0001d52a',
+        '\\'                   : '\U0001d52b',
+        '\\'                   : '\U0001d52c',
+        '\\'                   : '\U0001d52d',
+        '\\'                   : '\U0001d52e',
+        '\\'                   : '\U0001d52f',
+        '\\'                   : '\U0001d530',
+        '\\'                   : '\U0001d531',
+        '\\'                   : '\U0001d532',
+        '\\'                   : '\U0001d533',
+        '\\'                   : '\U0001d534',
+        '\\'                   : '\U0001d535',
+        '\\'                   : '\U0001d536',
+        '\\'                   : '\U0001d537',
+        '\\'                : '\U000003b1',
+        '\\'                 : '\U000003b2',
+        '\\'                : '\U000003b3',
+        '\\'                : '\U000003b4',
+        '\\'              : '\U000003b5',
+        '\\'                 : '\U000003b6',
+        '\\'                  : '\U000003b7',
+        '\\'                : '\U000003b8',
+        '\\'                 : '\U000003b9',
+        '\\'                : '\U000003ba',
+        '\\'               : '\U000003bb',
+        '\\'                   : '\U000003bc',
+        '\\'                   : '\U000003bd',
+        '\\'                   : '\U000003be',
+        '\\'                   : '\U000003c0',
+        '\\'                  : '\U000003c1',
+        '\\'                : '\U000003c3',
+        '\\'                  : '\U000003c4',
+        '\\'              : '\U000003c5',
+        '\\'                  : '\U000003c6',
+        '\\'                  : '\U000003c7',
+        '\\'                  : '\U000003c8',
+        '\\'                : '\U000003c9',
+        '\\'                : '\U00000393',
+        '\\'                : '\U00000394',
+        '\\'                : '\U00000398',
+        '\\'               : '\U0000039b',
+        '\\'                   : '\U0000039e',
+        '\\'                   : '\U000003a0',
+        '\\'                : '\U000003a3',
+        '\\'              : '\U000003a5',
+        '\\'                  : '\U000003a6',
+        '\\'                  : '\U000003a8',
+        '\\'                : '\U000003a9',
+        '\\'                 : '\U0001d539',
+        '\\'              : '\U00002102',
+        '\\'                  : '\U00002115',
+        '\\'                  : '\U0000211a',
+        '\\'                 : '\U0000211d',
+        '\\'                  : '\U00002124',
+        '\\'            : '\U00002190',
+        '\\'        : '\U000027f5',
+        '\\'           : '\U00002192',
+        '\\'       : '\U000027f6',
+        '\\'            : '\U000021d0',
+        '\\'        : '\U000027f8',
+        '\\'           : '\U000021d2',
+        '\\'       : '\U000027f9',
+        '\\'       : '\U00002194',
+        '\\'   : '\U000027f7',
+        '\\'       : '\U000021d4',
+        '\\'   : '\U000027fa',
+        '\\'               : '\U000021a6',
+        '\\'           : '\U000027fc',
+        '\\'             : '\U00002500',
+        '\\'             : '\U00002550',
+        '\\'        : '\U000021a9',
+        '\\'       : '\U000021aa',
+        '\\'      : '\U000021bd',
+        '\\'     : '\U000021c1',
+        '\\'        : '\U000021bc',
+        '\\'       : '\U000021c0',
+        '\\'    : '\U000021cc',
+        '\\'              : '\U0000219d',
+        '\\'      : '\U000021c3',
+        '\\'     : '\U000021c2',
+        '\\'        : '\U000021bf',
+        '\\'       : '\U000021be',
+        '\\'          : '\U000021be',
+        '\\'                : '\U00002237',
+        '\\'                   : '\U00002191',
+        '\\'                   : '\U000021d1',
+        '\\'                 : '\U00002193',
+        '\\'                 : '\U000021d3',
+        '\\'               : '\U00002195',
+        '\\'               : '\U000021d5',
+        '\\'               : '\U000027e8',
+        '\\'               : '\U000027e9',
+        '\\'                : '\U00002308',
+        '\\'                : '\U00002309',
+        '\\'               : '\U0000230a',
+        '\\'               : '\U0000230b',
+        '\\'                : '\U00002987',
+        '\\'                : '\U00002988',
+        '\\'               : '\U000027e6',
+        '\\'               : '\U000027e7',
+        '\\'               : '\U00002983',
+        '\\'               : '\U00002984',
+        '\\'        : '\U000000ab',
+        '\\'       : '\U000000bb',
+        '\\'               : '\U000022a5',
+        '\\'                  : '\U000022a4',
+        '\\'                  : '\U00002227',
+        '\\'                  : '\U000022c0',
+        '\\'                   : '\U00002228',
+        '\\'                   : '\U000022c1',
+        '\\'               : '\U00002200',
+        '\\'               : '\U00002203',
+        '\\'              : '\U00002204',
+        '\\'                  : '\U000000ac',
+        '\\'                  : '\U000025a1',
+        '\\'              : '\U000025c7',
+        '\\'            : '\U000022a2',
+        '\\'            : '\U000022a8',
+        '\\'           : '\U000022a9',
+        '\\'           : '\U000022ab',
+        '\\'            : '\U000022a3',
+        '\\'                 : '\U0000221a',
+        '\\'                   : '\U00002264',
+        '\\'                   : '\U00002265',
+        '\\'                : '\U0000226a',
+        '\\'             : '\U0000226b',
+        '\\'              : '\U00002272',
+        '\\'           : '\U00002273',
+        '\\'           : '\U00002a85',
+        '\\'        : '\U00002a86',
+        '\\'                   : '\U00002208',
+        '\\'                : '\U00002209',
+        '\\'               : '\U00002282',
+        '\\'               : '\U00002283',
+        '\\'             : '\U00002286',
+        '\\'             : '\U00002287',
+        '\\'             : '\U0000228f',
+        '\\'             : '\U00002290',
+        '\\'           : '\U00002291',
+        '\\'           : '\U00002292',
+        '\\'                : '\U00002229',
+        '\\'                : '\U000022c2',
+        '\\'                : '\U0000222a',
+        '\\'                : '\U000022c3',
+        '\\'              : '\U00002294',
+        '\\'              : '\U00002a06',
+        '\\'              : '\U00002293',
+        '\\'              : '\U00002a05',
+        '\\'             : '\U00002216',
+        '\\'               : '\U0000221d',
+        '\\'                : '\U0000228e',
+        '\\'                : '\U00002a04',
+        '\\'                : '\U00002260',
+        '\\'                  : '\U0000223c',
+        '\\'                : '\U00002250',
+        '\\'                : '\U00002243',
+        '\\'               : '\U00002248',
+        '\\'                : '\U0000224d',
+        '\\'                 : '\U00002245',
+        '\\'                : '\U00002323',
+        '\\'                : '\U00002261',
+        '\\'                : '\U00002322',
+        '\\'                 : '\U000022c8',
+        '\\'               : '\U00002a1d',
+        '\\'                 : '\U0000227a',
+        '\\'                 : '\U0000227b',
+        '\\'               : '\U0000227c',
+        '\\'               : '\U0000227d',
+        '\\'             : '\U00002225',
+        '\\'                  : '\U000000a6',
+        '\\'            : '\U000000b1',
+        '\\'            : '\U00002213',
+        '\\'                : '\U000000d7',
+        '\\
'                  : '\U000000f7',
+        '\\'                 : '\U000022c5',
+        '\\'                 : '\U000022c6',
+        '\\'               : '\U00002219',
+        '\\'                 : '\U00002218',
+        '\\'               : '\U00002020',
+        '\\'              : '\U00002021',
+        '\\'                  : '\U000022b2',
+        '\\'                  : '\U000022b3',
+        '\\'                : '\U000022b4',
+        '\\'                : '\U000022b5',
+        '\\'         : '\U000025c3',
+        '\\'        : '\U000025b9',
+        '\\'             : '\U000025b3',
+        '\\'            : '\U0000225c',
+        '\\'                : '\U00002295',
+        '\\'                : '\U00002a01',
+        '\\'               : '\U00002297',
+        '\\'               : '\U00002a02',
+        '\\'                 : '\U00002299',
+        '\\'                 : '\U00002a00',
+        '\\'               : '\U00002296',
+        '\\'               : '\U00002298',
+        '\\'                 : '\U00002026',
+        '\\'                : '\U000022ef',
+        '\\'                  : '\U00002211',
+        '\\'                 : '\U0000220f',
+        '\\'               : '\U00002210',
+        '\\'             : '\U0000221e',
+        '\\'             : '\U0000222b',
+        '\\'            : '\U0000222e',
+        '\\'             : '\U00002663',
+        '\\'          : '\U00002662',
+        '\\'            : '\U00002661',
+        '\\'            : '\U00002660',
+        '\\'                : '\U00002135',
+        '\\'             : '\U00002205',
+        '\\'                : '\U00002207',
+        '\\'              : '\U00002202',
+        '\\'                 : '\U0000266d',
+        '\\'              : '\U0000266e',
+        '\\'                : '\U0000266f',
+        '\\'                : '\U00002220',
+        '\\'            : '\U000000a9',
+        '\\'           : '\U000000ae',
+        '\\'               : '\U000000ad',
+        '\\'              : '\U000000af',
+        '\\'           : '\U000000bc',
+        '\\'              : '\U000000bd',
+        '\\'        : '\U000000be',
+        '\\'          : '\U000000aa',
+        '\\'         : '\U000000ba',
+        '\\
'              : '\U000000a7',
+        '\\'            : '\U000000b6',
+        '\\'           : '\U000000a1',
+        '\\'         : '\U000000bf',
+        '\\'                 : '\U000020ac',
+        '\\'               : '\U000000a3',
+        '\\'                  : '\U000000a5',
+        '\\'                 : '\U000000a2',
+        '\\'             : '\U000000a4',
+        '\\'               : '\U000000b0',
+        '\\'                : '\U00002a3f',
+        '\\'                  : '\U00002127',
+        '\\'              : '\U000025ca',
+        '\\'                   : '\U00002118',
+        '\\'                : '\U00002240',
+        '\\'               : '\U000022c4',
+        '\\'                : '\U000000b4',
+        '\\'                : '\U00000131',
+        '\\'             : '\U000000a8',
+        '\\'              : '\U000000b8',
+        '\\'         : '\U000002dd',
+        '\\'                 : '\U000003f5',
+        '\\'              : '\U000023ce',
+        '\\'                 : '\U00002039',
+        '\\'                : '\U0000203a',
+        '\\'                 : '\U00002302',
+        '\\<^sub>'                 : '\U000021e9',
+        '\\<^sup>'                 : '\U000021e7',
+        '\\<^bold>'                : '\U00002759',
+        '\\<^bsub>'                : '\U000021d8',
+        '\\<^esub>'                : '\U000021d9',
+        '\\<^bsup>'                : '\U000021d7',
+        '\\<^esup>'                : '\U000021d6',
+    }
+
+    lang_map = {'isabelle' : isabelle_symbols, 'latex' : latex_symbols}
+
+    def __init__(self, **options):
+        Filter.__init__(self, **options)
+        lang = get_choice_opt(options, 'lang',
+                              ['isabelle', 'latex'], 'isabelle')
+        self.symbols = self.lang_map[lang]
+
+    def filter(self, lexer, stream):
+        for ttype, value in stream:
+            if value in self.symbols:
+                yield ttype, self.symbols[value]
+            else:
+                yield ttype, value
+
+
+class KeywordCaseFilter(Filter):
+    """Convert keywords to lowercase or uppercase or capitalize them.
+
+    This means first letter uppercase, rest lowercase.
+
+    This can be useful e.g. if you highlight Pascal code and want to adapt the
+    code to your styleguide.
+
+    Options accepted:
+
+    `case` : string
+       The casing to convert keywords to. Must be one of ``'lower'``,
+       ``'upper'`` or ``'capitalize'``.  The default is ``'lower'``.
+    """
+
+    def __init__(self, **options):
+        Filter.__init__(self, **options)
+        case = get_choice_opt(options, 'case',
+                              ['lower', 'upper', 'capitalize'], 'lower')
+        self.convert = getattr(str, case)
+
+    def filter(self, lexer, stream):
+        for ttype, value in stream:
+            if ttype in Keyword:
+                yield ttype, self.convert(value)
+            else:
+                yield ttype, value
+
+
+class NameHighlightFilter(Filter):
+    """Highlight a normal Name (and Name.*) token with a different token type.
+
+    Example::
+
+        filter = NameHighlightFilter(
+            names=['foo', 'bar', 'baz'],
+            tokentype=Name.Function,
+        )
+
+    This would highlight the names "foo", "bar" and "baz"
+    as functions. `Name.Function` is the default token type.
+
+    Options accepted:
+
+    `names` : list of strings
+      A list of names that should be given the different token type.
+      There is no default.
+    `tokentype` : TokenType or string
+      A token type or a string containing a token type name that is
+      used for highlighting the strings in `names`.  The default is
+      `Name.Function`.
+    """
+
+    def __init__(self, **options):
+        Filter.__init__(self, **options)
+        self.names = set(get_list_opt(options, 'names', []))
+        tokentype = options.get('tokentype')
+        if tokentype:
+            self.tokentype = string_to_tokentype(tokentype)
+        else:
+            self.tokentype = Name.Function
+
+    def filter(self, lexer, stream):
+        for ttype, value in stream:
+            if ttype in Name and value in self.names:
+                yield self.tokentype, value
+            else:
+                yield ttype, value
+
+
+class ErrorToken(Exception):
+    pass
+
+
+class RaiseOnErrorTokenFilter(Filter):
+    """Raise an exception when the lexer generates an error token.
+
+    Options accepted:
+
+    `excclass` : Exception class
+      The exception class to raise.
+      The default is `pygments.filters.ErrorToken`.
+
+    .. versionadded:: 0.8
+    """
+
+    def __init__(self, **options):
+        Filter.__init__(self, **options)
+        self.exception = options.get('excclass', ErrorToken)
+        try:
+            # issubclass() will raise TypeError if first argument is not a class
+            if not issubclass(self.exception, Exception):
+                raise TypeError
+        except TypeError:
+            raise OptionError('excclass option is not an exception class')
+
+    def filter(self, lexer, stream):
+        for ttype, value in stream:
+            if ttype is Error:
+                raise self.exception(value)
+            yield ttype, value
+
+
+class VisibleWhitespaceFilter(Filter):
+    """Convert tabs, newlines and/or spaces to visible characters.
+
+    Options accepted:
+
+    `spaces` : string or bool
+      If this is a one-character string, spaces will be replaces by this string.
+      If it is another true value, spaces will be replaced by ``·`` (unicode
+      MIDDLE DOT).  If it is a false value, spaces will not be replaced.  The
+      default is ``False``.
+    `tabs` : string or bool
+      The same as for `spaces`, but the default replacement character is ``»``
+      (unicode RIGHT-POINTING DOUBLE ANGLE QUOTATION MARK).  The default value
+      is ``False``.  Note: this will not work if the `tabsize` option for the
+      lexer is nonzero, as tabs will already have been expanded then.
+    `tabsize` : int
+      If tabs are to be replaced by this filter (see the `tabs` option), this
+      is the total number of characters that a tab should be expanded to.
+      The default is ``8``.
+    `newlines` : string or bool
+      The same as for `spaces`, but the default replacement character is ``¶``
+      (unicode PILCROW SIGN).  The default value is ``False``.
+    `wstokentype` : bool
+      If true, give whitespace the special `Whitespace` token type.  This allows
+      styling the visible whitespace differently (e.g. greyed out), but it can
+      disrupt background colors.  The default is ``True``.
+
+    .. versionadded:: 0.8
+    """
+
+    def __init__(self, **options):
+        Filter.__init__(self, **options)
+        for name, default in [('spaces',   '·'),
+                              ('tabs',     '»'),
+                              ('newlines', '¶')]:
+            opt = options.get(name, False)
+            if isinstance(opt, str) and len(opt) == 1:
+                setattr(self, name, opt)
+            else:
+                setattr(self, name, (opt and default or ''))
+        tabsize = get_int_opt(options, 'tabsize', 8)
+        if self.tabs:
+            self.tabs += ' ' * (tabsize - 1)
+        if self.newlines:
+            self.newlines += '\n'
+        self.wstt = get_bool_opt(options, 'wstokentype', True)
+
+    def filter(self, lexer, stream):
+        if self.wstt:
+            spaces = self.spaces or ' '
+            tabs = self.tabs or '\t'
+            newlines = self.newlines or '\n'
+            regex = re.compile(r'\s')
+
+            def replacefunc(wschar):
+                if wschar == ' ':
+                    return spaces
+                elif wschar == '\t':
+                    return tabs
+                elif wschar == '\n':
+                    return newlines
+                return wschar
+
+            for ttype, value in stream:
+                yield from _replace_special(ttype, value, regex, Whitespace,
+                                            replacefunc)
+        else:
+            spaces, tabs, newlines = self.spaces, self.tabs, self.newlines
+            # simpler processing
+            for ttype, value in stream:
+                if spaces:
+                    value = value.replace(' ', spaces)
+                if tabs:
+                    value = value.replace('\t', tabs)
+                if newlines:
+                    value = value.replace('\n', newlines)
+                yield ttype, value
+
+
+class GobbleFilter(Filter):
+    """Gobble source code lines (eats initial characters).
+
+    This filter drops the first ``n`` characters off every line of code.  This
+    may be useful when the source code fed to the lexer is indented by a fixed
+    amount of space that isn't desired in the output.
+
+    Options accepted:
+
+    `n` : int
+       The number of characters to gobble.
+
+    .. versionadded:: 1.2
+    """
+    def __init__(self, **options):
+        Filter.__init__(self, **options)
+        self.n = get_int_opt(options, 'n', 0)
+
+    def gobble(self, value, left):
+        if left < len(value):
+            return value[left:], 0
+        else:
+            return '', left - len(value)
+
+    def filter(self, lexer, stream):
+        n = self.n
+        left = n  # How many characters left to gobble.
+        for ttype, value in stream:
+            # Remove ``left`` tokens from first line, ``n`` from all others.
+            parts = value.split('\n')
+            (parts[0], left) = self.gobble(parts[0], left)
+            for i in range(1, len(parts)):
+                (parts[i], left) = self.gobble(parts[i], n)
+            value = '\n'.join(parts)
+
+            if value != '':
+                yield ttype, value
+
+
+class TokenMergeFilter(Filter):
+    """Merge consecutive tokens with the same token type in the output stream.
+
+    .. versionadded:: 1.2
+    """
+    def __init__(self, **options):
+        Filter.__init__(self, **options)
+
+    def filter(self, lexer, stream):
+        current_type = None
+        current_value = None
+        for ttype, value in stream:
+            if ttype is current_type:
+                current_value += value
+            else:
+                if current_type is not None:
+                    yield current_type, current_value
+                current_type = ttype
+                current_value = value
+        if current_type is not None:
+            yield current_type, current_value
+
+
+FILTERS = {
+    'codetagify':     CodeTagFilter,
+    'keywordcase':    KeywordCaseFilter,
+    'highlight':      NameHighlightFilter,
+    'raiseonerror':   RaiseOnErrorTokenFilter,
+    'whitespace':     VisibleWhitespaceFilter,
+    'gobble':         GobbleFilter,
+    'tokenmerge':     TokenMergeFilter,
+    'symbols':        SymbolFilter,
+}
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/formatter.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/formatter.py
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index 0000000000000000000000000000000000000000..d869b6c14a25c88df7c66d6399a2628ab351467d
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/formatter.py
@@ -0,0 +1,129 @@
+"""
+    pygments.formatter
+    ~~~~~~~~~~~~~~~~~~
+
+    Base formatter class.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+import codecs
+
+from pip._vendor.pygments.util import get_bool_opt
+from pip._vendor.pygments.styles import get_style_by_name
+
+__all__ = ['Formatter']
+
+
+def _lookup_style(style):
+    if isinstance(style, str):
+        return get_style_by_name(style)
+    return style
+
+
+class Formatter:
+    """
+    Converts a token stream to text.
+
+    Formatters should have attributes to help selecting them. These
+    are similar to the corresponding :class:`~pygments.lexer.Lexer`
+    attributes.
+
+    .. autoattribute:: name
+       :no-value:
+
+    .. autoattribute:: aliases
+       :no-value:
+
+    .. autoattribute:: filenames
+       :no-value:
+
+    You can pass options as keyword arguments to the constructor.
+    All formatters accept these basic options:
+
+    ``style``
+        The style to use, can be a string or a Style subclass
+        (default: "default"). Not used by e.g. the
+        TerminalFormatter.
+    ``full``
+        Tells the formatter to output a "full" document, i.e.
+        a complete self-contained document. This doesn't have
+        any effect for some formatters (default: false).
+    ``title``
+        If ``full`` is true, the title that should be used to
+        caption the document (default: '').
+    ``encoding``
+        If given, must be an encoding name. This will be used to
+        convert the Unicode token strings to byte strings in the
+        output. If it is "" or None, Unicode strings will be written
+        to the output file, which most file-like objects do not
+        support (default: None).
+    ``outencoding``
+        Overrides ``encoding`` if given.
+
+    """
+
+    #: Full name for the formatter, in human-readable form.
+    name = None
+
+    #: A list of short, unique identifiers that can be used to lookup
+    #: the formatter from a list, e.g. using :func:`.get_formatter_by_name()`.
+    aliases = []
+
+    #: A list of fnmatch patterns that match filenames for which this
+    #: formatter can produce output. The patterns in this list should be unique
+    #: among all formatters.
+    filenames = []
+
+    #: If True, this formatter outputs Unicode strings when no encoding
+    #: option is given.
+    unicodeoutput = True
+
+    def __init__(self, **options):
+        """
+        As with lexers, this constructor takes arbitrary optional arguments,
+        and if you override it, you should first process your own options, then
+        call the base class implementation.
+        """
+        self.style = _lookup_style(options.get('style', 'default'))
+        self.full = get_bool_opt(options, 'full', False)
+        self.title = options.get('title', '')
+        self.encoding = options.get('encoding', None) or None
+        if self.encoding in ('guess', 'chardet'):
+            # can happen for e.g. pygmentize -O encoding=guess
+            self.encoding = 'utf-8'
+        self.encoding = options.get('outencoding') or self.encoding
+        self.options = options
+
+    def get_style_defs(self, arg=''):
+        """
+        This method must return statements or declarations suitable to define
+        the current style for subsequent highlighted text (e.g. CSS classes
+        in the `HTMLFormatter`).
+
+        The optional argument `arg` can be used to modify the generation and
+        is formatter dependent (it is standardized because it can be given on
+        the command line).
+
+        This method is called by the ``-S`` :doc:`command-line option `,
+        the `arg` is then given by the ``-a`` option.
+        """
+        return ''
+
+    def format(self, tokensource, outfile):
+        """
+        This method must format the tokens from the `tokensource` iterable and
+        write the formatted version to the file object `outfile`.
+
+        Formatter options can control how exactly the tokens are converted.
+        """
+        if self.encoding:
+            # wrap the outfile in a StreamWriter
+            outfile = codecs.lookup(self.encoding)[3](outfile)
+        return self.format_unencoded(tokensource, outfile)
+
+    # Allow writing Formatter[str] or Formatter[bytes]. That's equivalent to
+    # Formatter. This helps when using third-party type stubs from typeshed.
+    def __class_getitem__(cls, name):
+        return cls
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/formatters/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/formatters/__init__.py
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index 0000000000000000000000000000000000000000..c7c153bf4a72988ca4042977e0e65c472b89c453
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/formatters/__init__.py
@@ -0,0 +1,157 @@
+"""
+    pygments.formatters
+    ~~~~~~~~~~~~~~~~~~~
+
+    Pygments formatters.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+import re
+import sys
+import types
+import fnmatch
+from os.path import basename
+
+from pip._vendor.pygments.formatters._mapping import FORMATTERS
+from pip._vendor.pygments.plugin import find_plugin_formatters
+from pip._vendor.pygments.util import ClassNotFound
+
+__all__ = ['get_formatter_by_name', 'get_formatter_for_filename',
+           'get_all_formatters', 'load_formatter_from_file'] + list(FORMATTERS)
+
+_formatter_cache = {}  # classes by name
+_pattern_cache = {}
+
+
+def _fn_matches(fn, glob):
+    """Return whether the supplied file name fn matches pattern filename."""
+    if glob not in _pattern_cache:
+        pattern = _pattern_cache[glob] = re.compile(fnmatch.translate(glob))
+        return pattern.match(fn)
+    return _pattern_cache[glob].match(fn)
+
+
+def _load_formatters(module_name):
+    """Load a formatter (and all others in the module too)."""
+    mod = __import__(module_name, None, None, ['__all__'])
+    for formatter_name in mod.__all__:
+        cls = getattr(mod, formatter_name)
+        _formatter_cache[cls.name] = cls
+
+
+def get_all_formatters():
+    """Return a generator for all formatter classes."""
+    # NB: this returns formatter classes, not info like get_all_lexers().
+    for info in FORMATTERS.values():
+        if info[1] not in _formatter_cache:
+            _load_formatters(info[0])
+        yield _formatter_cache[info[1]]
+    for _, formatter in find_plugin_formatters():
+        yield formatter
+
+
+def find_formatter_class(alias):
+    """Lookup a formatter by alias.
+
+    Returns None if not found.
+    """
+    for module_name, name, aliases, _, _ in FORMATTERS.values():
+        if alias in aliases:
+            if name not in _formatter_cache:
+                _load_formatters(module_name)
+            return _formatter_cache[name]
+    for _, cls in find_plugin_formatters():
+        if alias in cls.aliases:
+            return cls
+
+
+def get_formatter_by_name(_alias, **options):
+    """
+    Return an instance of a :class:`.Formatter` subclass that has `alias` in its
+    aliases list. The formatter is given the `options` at its instantiation.
+
+    Will raise :exc:`pygments.util.ClassNotFound` if no formatter with that
+    alias is found.
+    """
+    cls = find_formatter_class(_alias)
+    if cls is None:
+        raise ClassNotFound(f"no formatter found for name {_alias!r}")
+    return cls(**options)
+
+
+def load_formatter_from_file(filename, formattername="CustomFormatter", **options):
+    """
+    Return a `Formatter` subclass instance loaded from the provided file, relative
+    to the current directory.
+
+    The file is expected to contain a Formatter class named ``formattername``
+    (by default, CustomFormatter). Users should be very careful with the input, because
+    this method is equivalent to running ``eval()`` on the input file. The formatter is
+    given the `options` at its instantiation.
+
+    :exc:`pygments.util.ClassNotFound` is raised if there are any errors loading
+    the formatter.
+
+    .. versionadded:: 2.2
+    """
+    try:
+        # This empty dict will contain the namespace for the exec'd file
+        custom_namespace = {}
+        with open(filename, 'rb') as f:
+            exec(f.read(), custom_namespace)
+        # Retrieve the class `formattername` from that namespace
+        if formattername not in custom_namespace:
+            raise ClassNotFound(f'no valid {formattername} class found in {filename}')
+        formatter_class = custom_namespace[formattername]
+        # And finally instantiate it with the options
+        return formatter_class(**options)
+    except OSError as err:
+        raise ClassNotFound(f'cannot read {filename}: {err}')
+    except ClassNotFound:
+        raise
+    except Exception as err:
+        raise ClassNotFound(f'error when loading custom formatter: {err}')
+
+
+def get_formatter_for_filename(fn, **options):
+    """
+    Return a :class:`.Formatter` subclass instance that has a filename pattern
+    matching `fn`. The formatter is given the `options` at its instantiation.
+
+    Will raise :exc:`pygments.util.ClassNotFound` if no formatter for that filename
+    is found.
+    """
+    fn = basename(fn)
+    for modname, name, _, filenames, _ in FORMATTERS.values():
+        for filename in filenames:
+            if _fn_matches(fn, filename):
+                if name not in _formatter_cache:
+                    _load_formatters(modname)
+                return _formatter_cache[name](**options)
+    for _name, cls in find_plugin_formatters():
+        for filename in cls.filenames:
+            if _fn_matches(fn, filename):
+                return cls(**options)
+    raise ClassNotFound(f"no formatter found for file name {fn!r}")
+
+
+class _automodule(types.ModuleType):
+    """Automatically import formatters."""
+
+    def __getattr__(self, name):
+        info = FORMATTERS.get(name)
+        if info:
+            _load_formatters(info[0])
+            cls = _formatter_cache[info[1]]
+            setattr(self, name, cls)
+            return cls
+        raise AttributeError(name)
+
+
+oldmod = sys.modules[__name__]
+newmod = _automodule(__name__)
+newmod.__dict__.update(oldmod.__dict__)
+sys.modules[__name__] = newmod
+del newmod.newmod, newmod.oldmod, newmod.sys, newmod.types
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/formatters/_mapping.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/formatters/_mapping.py
new file mode 100644
index 0000000000000000000000000000000000000000..72ca84040b626183e3328679db600c13472021be
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/formatters/_mapping.py
@@ -0,0 +1,23 @@
+# Automatically generated by scripts/gen_mapfiles.py.
+# DO NOT EDIT BY HAND; run `tox -e mapfiles` instead.
+
+FORMATTERS = {
+    'BBCodeFormatter': ('pygments.formatters.bbcode', 'BBCode', ('bbcode', 'bb'), (), 'Format tokens with BBcodes. These formatting codes are used by many bulletin boards, so you can highlight your sourcecode with pygments before posting it there.'),
+    'BmpImageFormatter': ('pygments.formatters.img', 'img_bmp', ('bmp', 'bitmap'), ('*.bmp',), 'Create a bitmap image from source code. This uses the Python Imaging Library to generate a pixmap from the source code.'),
+    'GifImageFormatter': ('pygments.formatters.img', 'img_gif', ('gif',), ('*.gif',), 'Create a GIF image from source code. This uses the Python Imaging Library to generate a pixmap from the source code.'),
+    'GroffFormatter': ('pygments.formatters.groff', 'groff', ('groff', 'troff', 'roff'), (), 'Format tokens with groff escapes to change their color and font style.'),
+    'HtmlFormatter': ('pygments.formatters.html', 'HTML', ('html',), ('*.html', '*.htm'), "Format tokens as HTML 4 ```` tags. By default, the content is enclosed in a ``
`` tag, itself wrapped in a ``
`` tag (but see the `nowrap` option). The ``
``'s CSS class can be set by the `cssclass` option."),
+    'IRCFormatter': ('pygments.formatters.irc', 'IRC', ('irc', 'IRC'), (), 'Format tokens with IRC color sequences'),
+    'ImageFormatter': ('pygments.formatters.img', 'img', ('img', 'IMG', 'png'), ('*.png',), 'Create a PNG image from source code. This uses the Python Imaging Library to generate a pixmap from the source code.'),
+    'JpgImageFormatter': ('pygments.formatters.img', 'img_jpg', ('jpg', 'jpeg'), ('*.jpg',), 'Create a JPEG image from source code. This uses the Python Imaging Library to generate a pixmap from the source code.'),
+    'LatexFormatter': ('pygments.formatters.latex', 'LaTeX', ('latex', 'tex'), ('*.tex',), 'Format tokens as LaTeX code. This needs the `fancyvrb` and `color` standard packages.'),
+    'NullFormatter': ('pygments.formatters.other', 'Text only', ('text', 'null'), ('*.txt',), 'Output the text unchanged without any formatting.'),
+    'PangoMarkupFormatter': ('pygments.formatters.pangomarkup', 'Pango Markup', ('pango', 'pangomarkup'), (), 'Format tokens as Pango Markup code. It can then be rendered to an SVG.'),
+    'RawTokenFormatter': ('pygments.formatters.other', 'Raw tokens', ('raw', 'tokens'), ('*.raw',), 'Format tokens as a raw representation for storing token streams.'),
+    'RtfFormatter': ('pygments.formatters.rtf', 'RTF', ('rtf',), ('*.rtf',), 'Format tokens as RTF markup. This formatter automatically outputs full RTF documents with color information and other useful stuff. Perfect for Copy and Paste into Microsoft(R) Word(R) documents.'),
+    'SvgFormatter': ('pygments.formatters.svg', 'SVG', ('svg',), ('*.svg',), 'Format tokens as an SVG graphics file.  This formatter is still experimental. Each line of code is a ```` element with explicit ``x`` and ``y`` coordinates containing ```` elements with the individual token styles.'),
+    'Terminal256Formatter': ('pygments.formatters.terminal256', 'Terminal256', ('terminal256', 'console256', '256'), (), 'Format tokens with ANSI color sequences, for output in a 256-color terminal or console.  Like in `TerminalFormatter` color sequences are terminated at newlines, so that paging the output works correctly.'),
+    'TerminalFormatter': ('pygments.formatters.terminal', 'Terminal', ('terminal', 'console'), (), 'Format tokens with ANSI color sequences, for output in a text console. Color sequences are terminated at newlines, so that paging the output works correctly.'),
+    'TerminalTrueColorFormatter': ('pygments.formatters.terminal256', 'TerminalTrueColor', ('terminal16m', 'console16m', '16m'), (), 'Format tokens with ANSI color sequences, for output in a true-color terminal or console.  Like in `TerminalFormatter` color sequences are terminated at newlines, so that paging the output works correctly.'),
+    'TestcaseFormatter': ('pygments.formatters.other', 'Testcase', ('testcase',), (), 'Format tokens as appropriate for a new testcase.'),
+}
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/lexer.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/lexer.py
new file mode 100644
index 0000000000000000000000000000000000000000..a776bfa5619e050cb5915c45c9de81f54fe898a2
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/lexer.py
@@ -0,0 +1,965 @@
+"""
+    pygments.lexer
+    ~~~~~~~~~~~~~~
+
+    Base lexer classes.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+import re
+import sys
+import time
+
+from pip._vendor.pygments.filter import apply_filters, Filter
+from pip._vendor.pygments.filters import get_filter_by_name
+from pip._vendor.pygments.token import Error, Text, Other, Whitespace, _TokenType
+from pip._vendor.pygments.util import get_bool_opt, get_int_opt, get_list_opt, \
+    make_analysator, Future, guess_decode
+from pip._vendor.pygments.regexopt import regex_opt
+
+__all__ = ['Lexer', 'RegexLexer', 'ExtendedRegexLexer', 'DelegatingLexer',
+           'LexerContext', 'include', 'inherit', 'bygroups', 'using', 'this',
+           'default', 'words', 'line_re']
+
+line_re = re.compile('.*?\n')
+
+_encoding_map = [(b'\xef\xbb\xbf', 'utf-8'),
+                 (b'\xff\xfe\0\0', 'utf-32'),
+                 (b'\0\0\xfe\xff', 'utf-32be'),
+                 (b'\xff\xfe', 'utf-16'),
+                 (b'\xfe\xff', 'utf-16be')]
+
+_default_analyse = staticmethod(lambda x: 0.0)
+
+
+class LexerMeta(type):
+    """
+    This metaclass automagically converts ``analyse_text`` methods into
+    static methods which always return float values.
+    """
+
+    def __new__(mcs, name, bases, d):
+        if 'analyse_text' in d:
+            d['analyse_text'] = make_analysator(d['analyse_text'])
+        return type.__new__(mcs, name, bases, d)
+
+
+class Lexer(metaclass=LexerMeta):
+    """
+    Lexer for a specific language.
+
+    See also :doc:`lexerdevelopment`, a high-level guide to writing
+    lexers.
+
+    Lexer classes have attributes used for choosing the most appropriate
+    lexer based on various criteria.
+
+    .. autoattribute:: name
+       :no-value:
+    .. autoattribute:: aliases
+       :no-value:
+    .. autoattribute:: filenames
+       :no-value:
+    .. autoattribute:: alias_filenames
+    .. autoattribute:: mimetypes
+       :no-value:
+    .. autoattribute:: priority
+
+    Lexers included in Pygments should have two additional attributes:
+
+    .. autoattribute:: url
+       :no-value:
+    .. autoattribute:: version_added
+       :no-value:
+
+    Lexers included in Pygments may have additional attributes:
+
+    .. autoattribute:: _example
+       :no-value:
+
+    You can pass options to the constructor. The basic options recognized
+    by all lexers and processed by the base `Lexer` class are:
+
+    ``stripnl``
+        Strip leading and trailing newlines from the input (default: True).
+    ``stripall``
+        Strip all leading and trailing whitespace from the input
+        (default: False).
+    ``ensurenl``
+        Make sure that the input ends with a newline (default: True).  This
+        is required for some lexers that consume input linewise.
+
+        .. versionadded:: 1.3
+
+    ``tabsize``
+        If given and greater than 0, expand tabs in the input (default: 0).
+    ``encoding``
+        If given, must be an encoding name. This encoding will be used to
+        convert the input string to Unicode, if it is not already a Unicode
+        string (default: ``'guess'``, which uses a simple UTF-8 / Locale /
+        Latin1 detection.  Can also be ``'chardet'`` to use the chardet
+        library, if it is installed.
+    ``inencoding``
+        Overrides the ``encoding`` if given.
+    """
+
+    #: Full name of the lexer, in human-readable form
+    name = None
+
+    #: A list of short, unique identifiers that can be used to look
+    #: up the lexer from a list, e.g., using `get_lexer_by_name()`.
+    aliases = []
+
+    #: A list of `fnmatch` patterns that match filenames which contain
+    #: content for this lexer. The patterns in this list should be unique among
+    #: all lexers.
+    filenames = []
+
+    #: A list of `fnmatch` patterns that match filenames which may or may not
+    #: contain content for this lexer. This list is used by the
+    #: :func:`.guess_lexer_for_filename()` function, to determine which lexers
+    #: are then included in guessing the correct one. That means that
+    #: e.g. every lexer for HTML and a template language should include
+    #: ``\*.html`` in this list.
+    alias_filenames = []
+
+    #: A list of MIME types for content that can be lexed with this lexer.
+    mimetypes = []
+
+    #: Priority, should multiple lexers match and no content is provided
+    priority = 0
+
+    #: URL of the language specification/definition. Used in the Pygments
+    #: documentation. Set to an empty string to disable.
+    url = None
+
+    #: Version of Pygments in which the lexer was added.
+    version_added = None
+
+    #: Example file name. Relative to the ``tests/examplefiles`` directory.
+    #: This is used by the documentation generator to show an example.
+    _example = None
+
+    def __init__(self, **options):
+        """
+        This constructor takes arbitrary options as keyword arguments.
+        Every subclass must first process its own options and then call
+        the `Lexer` constructor, since it processes the basic
+        options like `stripnl`.
+
+        An example looks like this:
+
+        .. sourcecode:: python
+
+           def __init__(self, **options):
+               self.compress = options.get('compress', '')
+               Lexer.__init__(self, **options)
+
+        As these options must all be specifiable as strings (due to the
+        command line usage), there are various utility functions
+        available to help with that, see `Utilities`_.
+        """
+        self.options = options
+        self.stripnl = get_bool_opt(options, 'stripnl', True)
+        self.stripall = get_bool_opt(options, 'stripall', False)
+        self.ensurenl = get_bool_opt(options, 'ensurenl', True)
+        self.tabsize = get_int_opt(options, 'tabsize', 0)
+        self.encoding = options.get('encoding', 'guess')
+        self.encoding = options.get('inencoding') or self.encoding
+        self.filters = []
+        for filter_ in get_list_opt(options, 'filters', ()):
+            self.add_filter(filter_)
+
+    def __repr__(self):
+        if self.options:
+            return f''
+        else:
+            return f''
+
+    def add_filter(self, filter_, **options):
+        """
+        Add a new stream filter to this lexer.
+        """
+        if not isinstance(filter_, Filter):
+            filter_ = get_filter_by_name(filter_, **options)
+        self.filters.append(filter_)
+
+    def analyse_text(text):
+        """
+        A static method which is called for lexer guessing.
+
+        It should analyse the text and return a float in the range
+        from ``0.0`` to ``1.0``.  If it returns ``0.0``, the lexer
+        will not be selected as the most probable one, if it returns
+        ``1.0``, it will be selected immediately.  This is used by
+        `guess_lexer`.
+
+        The `LexerMeta` metaclass automatically wraps this function so
+        that it works like a static method (no ``self`` or ``cls``
+        parameter) and the return value is automatically converted to
+        `float`. If the return value is an object that is boolean `False`
+        it's the same as if the return values was ``0.0``.
+        """
+
+    def _preprocess_lexer_input(self, text):
+        """Apply preprocessing such as decoding the input, removing BOM and normalizing newlines."""
+
+        if not isinstance(text, str):
+            if self.encoding == 'guess':
+                text, _ = guess_decode(text)
+            elif self.encoding == 'chardet':
+                try:
+                    # pip vendoring note: this code is not reachable by pip,
+                    # removed import of chardet to make it clear.
+                    raise ImportError('chardet is not vendored by pip')
+                except ImportError as e:
+                    raise ImportError('To enable chardet encoding guessing, '
+                                      'please install the chardet library '
+                                      'from http://chardet.feedparser.org/') from e
+                # check for BOM first
+                decoded = None
+                for bom, encoding in _encoding_map:
+                    if text.startswith(bom):
+                        decoded = text[len(bom):].decode(encoding, 'replace')
+                        break
+                # no BOM found, so use chardet
+                if decoded is None:
+                    enc = chardet.detect(text[:1024])  # Guess using first 1KB
+                    decoded = text.decode(enc.get('encoding') or 'utf-8',
+                                          'replace')
+                text = decoded
+            else:
+                text = text.decode(self.encoding)
+                if text.startswith('\ufeff'):
+                    text = text[len('\ufeff'):]
+        else:
+            if text.startswith('\ufeff'):
+                text = text[len('\ufeff'):]
+
+        # text now *is* a unicode string
+        text = text.replace('\r\n', '\n')
+        text = text.replace('\r', '\n')
+        if self.stripall:
+            text = text.strip()
+        elif self.stripnl:
+            text = text.strip('\n')
+        if self.tabsize > 0:
+            text = text.expandtabs(self.tabsize)
+        if self.ensurenl and not text.endswith('\n'):
+            text += '\n'
+
+        return text
+
+    def get_tokens(self, text, unfiltered=False):
+        """
+        This method is the basic interface of a lexer. It is called by
+        the `highlight()` function. It must process the text and return an
+        iterable of ``(tokentype, value)`` pairs from `text`.
+
+        Normally, you don't need to override this method. The default
+        implementation processes the options recognized by all lexers
+        (`stripnl`, `stripall` and so on), and then yields all tokens
+        from `get_tokens_unprocessed()`, with the ``index`` dropped.
+
+        If `unfiltered` is set to `True`, the filtering mechanism is
+        bypassed even if filters are defined.
+        """
+        text = self._preprocess_lexer_input(text)
+
+        def streamer():
+            for _, t, v in self.get_tokens_unprocessed(text):
+                yield t, v
+        stream = streamer()
+        if not unfiltered:
+            stream = apply_filters(stream, self.filters, self)
+        return stream
+
+    def get_tokens_unprocessed(self, text):
+        """
+        This method should process the text and return an iterable of
+        ``(index, tokentype, value)`` tuples where ``index`` is the starting
+        position of the token within the input text.
+
+        It must be overridden by subclasses. It is recommended to
+        implement it as a generator to maximize effectiveness.
+        """
+        raise NotImplementedError
+
+
+class DelegatingLexer(Lexer):
+    """
+    This lexer takes two lexer as arguments. A root lexer and
+    a language lexer. First everything is scanned using the language
+    lexer, afterwards all ``Other`` tokens are lexed using the root
+    lexer.
+
+    The lexers from the ``template`` lexer package use this base lexer.
+    """
+
+    def __init__(self, _root_lexer, _language_lexer, _needle=Other, **options):
+        self.root_lexer = _root_lexer(**options)
+        self.language_lexer = _language_lexer(**options)
+        self.needle = _needle
+        Lexer.__init__(self, **options)
+
+    def get_tokens_unprocessed(self, text):
+        buffered = ''
+        insertions = []
+        lng_buffer = []
+        for i, t, v in self.language_lexer.get_tokens_unprocessed(text):
+            if t is self.needle:
+                if lng_buffer:
+                    insertions.append((len(buffered), lng_buffer))
+                    lng_buffer = []
+                buffered += v
+            else:
+                lng_buffer.append((i, t, v))
+        if lng_buffer:
+            insertions.append((len(buffered), lng_buffer))
+        return do_insertions(insertions,
+                             self.root_lexer.get_tokens_unprocessed(buffered))
+
+
+# ------------------------------------------------------------------------------
+# RegexLexer and ExtendedRegexLexer
+#
+
+
+class include(str):  # pylint: disable=invalid-name
+    """
+    Indicates that a state should include rules from another state.
+    """
+    pass
+
+
+class _inherit:
+    """
+    Indicates the a state should inherit from its superclass.
+    """
+    def __repr__(self):
+        return 'inherit'
+
+inherit = _inherit()  # pylint: disable=invalid-name
+
+
+class combined(tuple):  # pylint: disable=invalid-name
+    """
+    Indicates a state combined from multiple states.
+    """
+
+    def __new__(cls, *args):
+        return tuple.__new__(cls, args)
+
+    def __init__(self, *args):
+        # tuple.__init__ doesn't do anything
+        pass
+
+
+class _PseudoMatch:
+    """
+    A pseudo match object constructed from a string.
+    """
+
+    def __init__(self, start, text):
+        self._text = text
+        self._start = start
+
+    def start(self, arg=None):
+        return self._start
+
+    def end(self, arg=None):
+        return self._start + len(self._text)
+
+    def group(self, arg=None):
+        if arg:
+            raise IndexError('No such group')
+        return self._text
+
+    def groups(self):
+        return (self._text,)
+
+    def groupdict(self):
+        return {}
+
+
+def bygroups(*args):
+    """
+    Callback that yields multiple actions for each group in the match.
+    """
+    def callback(lexer, match, ctx=None):
+        for i, action in enumerate(args):
+            if action is None:
+                continue
+            elif type(action) is _TokenType:
+                data = match.group(i + 1)
+                if data:
+                    yield match.start(i + 1), action, data
+            else:
+                data = match.group(i + 1)
+                if data is not None:
+                    if ctx:
+                        ctx.pos = match.start(i + 1)
+                    for item in action(lexer,
+                                       _PseudoMatch(match.start(i + 1), data), ctx):
+                        if item:
+                            yield item
+        if ctx:
+            ctx.pos = match.end()
+    return callback
+
+
+class _This:
+    """
+    Special singleton used for indicating the caller class.
+    Used by ``using``.
+    """
+
+this = _This()
+
+
+def using(_other, **kwargs):
+    """
+    Callback that processes the match with a different lexer.
+
+    The keyword arguments are forwarded to the lexer, except `state` which
+    is handled separately.
+
+    `state` specifies the state that the new lexer will start in, and can
+    be an enumerable such as ('root', 'inline', 'string') or a simple
+    string which is assumed to be on top of the root state.
+
+    Note: For that to work, `_other` must not be an `ExtendedRegexLexer`.
+    """
+    gt_kwargs = {}
+    if 'state' in kwargs:
+        s = kwargs.pop('state')
+        if isinstance(s, (list, tuple)):
+            gt_kwargs['stack'] = s
+        else:
+            gt_kwargs['stack'] = ('root', s)
+
+    if _other is this:
+        def callback(lexer, match, ctx=None):
+            # if keyword arguments are given the callback
+            # function has to create a new lexer instance
+            if kwargs:
+                # XXX: cache that somehow
+                d = dict(lexer.options)
+                d.update(kwargs)
+                lx = lexer.__class__(**d)
+            else:
+                lx = lexer
+            s = match.start()
+            for i, t, v in lx.get_tokens_unprocessed(match.group(), **gt_kwargs):
+                yield i + s, t, v
+            if ctx:
+                ctx.pos = match.end()
+    else:
+        def callback(lexer, match, ctx=None):
+            # XXX: cache that somehow
+            d = dict(lexer.options)
+            d.update(kwargs)
+            lx = _other(**d)
+
+            s = match.start()
+            for i, t, v in lx.get_tokens_unprocessed(match.group(), **gt_kwargs):
+                yield i + s, t, v
+            if ctx:
+                ctx.pos = match.end()
+    return callback
+
+
+class default:
+    """
+    Indicates a state or state action (e.g. #pop) to apply.
+    For example default('#pop') is equivalent to ('', Token, '#pop')
+    Note that state tuples may be used as well.
+
+    .. versionadded:: 2.0
+    """
+    def __init__(self, state):
+        self.state = state
+
+
+class words(Future):
+    """
+    Indicates a list of literal words that is transformed into an optimized
+    regex that matches any of the words.
+
+    .. versionadded:: 2.0
+    """
+    def __init__(self, words, prefix='', suffix=''):
+        self.words = words
+        self.prefix = prefix
+        self.suffix = suffix
+
+    def get(self):
+        return regex_opt(self.words, prefix=self.prefix, suffix=self.suffix)
+
+
+class RegexLexerMeta(LexerMeta):
+    """
+    Metaclass for RegexLexer, creates the self._tokens attribute from
+    self.tokens on the first instantiation.
+    """
+
+    def _process_regex(cls, regex, rflags, state):
+        """Preprocess the regular expression component of a token definition."""
+        if isinstance(regex, Future):
+            regex = regex.get()
+        return re.compile(regex, rflags).match
+
+    def _process_token(cls, token):
+        """Preprocess the token component of a token definition."""
+        assert type(token) is _TokenType or callable(token), \
+            f'token type must be simple type or callable, not {token!r}'
+        return token
+
+    def _process_new_state(cls, new_state, unprocessed, processed):
+        """Preprocess the state transition action of a token definition."""
+        if isinstance(new_state, str):
+            # an existing state
+            if new_state == '#pop':
+                return -1
+            elif new_state in unprocessed:
+                return (new_state,)
+            elif new_state == '#push':
+                return new_state
+            elif new_state[:5] == '#pop:':
+                return -int(new_state[5:])
+            else:
+                assert False, f'unknown new state {new_state!r}'
+        elif isinstance(new_state, combined):
+            # combine a new state from existing ones
+            tmp_state = '_tmp_%d' % cls._tmpname
+            cls._tmpname += 1
+            itokens = []
+            for istate in new_state:
+                assert istate != new_state, f'circular state ref {istate!r}'
+                itokens.extend(cls._process_state(unprocessed,
+                                                  processed, istate))
+            processed[tmp_state] = itokens
+            return (tmp_state,)
+        elif isinstance(new_state, tuple):
+            # push more than one state
+            for istate in new_state:
+                assert (istate in unprocessed or
+                        istate in ('#pop', '#push')), \
+                    'unknown new state ' + istate
+            return new_state
+        else:
+            assert False, f'unknown new state def {new_state!r}'
+
+    def _process_state(cls, unprocessed, processed, state):
+        """Preprocess a single state definition."""
+        assert isinstance(state, str), f"wrong state name {state!r}"
+        assert state[0] != '#', f"invalid state name {state!r}"
+        if state in processed:
+            return processed[state]
+        tokens = processed[state] = []
+        rflags = cls.flags
+        for tdef in unprocessed[state]:
+            if isinstance(tdef, include):
+                # it's a state reference
+                assert tdef != state, f"circular state reference {state!r}"
+                tokens.extend(cls._process_state(unprocessed, processed,
+                                                 str(tdef)))
+                continue
+            if isinstance(tdef, _inherit):
+                # should be processed already, but may not in the case of:
+                # 1. the state has no counterpart in any parent
+                # 2. the state includes more than one 'inherit'
+                continue
+            if isinstance(tdef, default):
+                new_state = cls._process_new_state(tdef.state, unprocessed, processed)
+                tokens.append((re.compile('').match, None, new_state))
+                continue
+
+            assert type(tdef) is tuple, f"wrong rule def {tdef!r}"
+
+            try:
+                rex = cls._process_regex(tdef[0], rflags, state)
+            except Exception as err:
+                raise ValueError(f"uncompilable regex {tdef[0]!r} in state {state!r} of {cls!r}: {err}") from err
+
+            token = cls._process_token(tdef[1])
+
+            if len(tdef) == 2:
+                new_state = None
+            else:
+                new_state = cls._process_new_state(tdef[2],
+                                                   unprocessed, processed)
+
+            tokens.append((rex, token, new_state))
+        return tokens
+
+    def process_tokendef(cls, name, tokendefs=None):
+        """Preprocess a dictionary of token definitions."""
+        processed = cls._all_tokens[name] = {}
+        tokendefs = tokendefs or cls.tokens[name]
+        for state in list(tokendefs):
+            cls._process_state(tokendefs, processed, state)
+        return processed
+
+    def get_tokendefs(cls):
+        """
+        Merge tokens from superclasses in MRO order, returning a single tokendef
+        dictionary.
+
+        Any state that is not defined by a subclass will be inherited
+        automatically.  States that *are* defined by subclasses will, by
+        default, override that state in the superclass.  If a subclass wishes to
+        inherit definitions from a superclass, it can use the special value
+        "inherit", which will cause the superclass' state definition to be
+        included at that point in the state.
+        """
+        tokens = {}
+        inheritable = {}
+        for c in cls.__mro__:
+            toks = c.__dict__.get('tokens', {})
+
+            for state, items in toks.items():
+                curitems = tokens.get(state)
+                if curitems is None:
+                    # N.b. because this is assigned by reference, sufficiently
+                    # deep hierarchies are processed incrementally (e.g. for
+                    # A(B), B(C), C(RegexLexer), B will be premodified so X(B)
+                    # will not see any inherits in B).
+                    tokens[state] = items
+                    try:
+                        inherit_ndx = items.index(inherit)
+                    except ValueError:
+                        continue
+                    inheritable[state] = inherit_ndx
+                    continue
+
+                inherit_ndx = inheritable.pop(state, None)
+                if inherit_ndx is None:
+                    continue
+
+                # Replace the "inherit" value with the items
+                curitems[inherit_ndx:inherit_ndx+1] = items
+                try:
+                    # N.b. this is the index in items (that is, the superclass
+                    # copy), so offset required when storing below.
+                    new_inh_ndx = items.index(inherit)
+                except ValueError:
+                    pass
+                else:
+                    inheritable[state] = inherit_ndx + new_inh_ndx
+
+        return tokens
+
+    def __call__(cls, *args, **kwds):
+        """Instantiate cls after preprocessing its token definitions."""
+        if '_tokens' not in cls.__dict__:
+            cls._all_tokens = {}
+            cls._tmpname = 0
+            if hasattr(cls, 'token_variants') and cls.token_variants:
+                # don't process yet
+                pass
+            else:
+                cls._tokens = cls.process_tokendef('', cls.get_tokendefs())
+
+        return type.__call__(cls, *args, **kwds)
+
+
+class RegexLexer(Lexer, metaclass=RegexLexerMeta):
+    """
+    Base for simple stateful regular expression-based lexers.
+    Simplifies the lexing process so that you need only
+    provide a list of states and regular expressions.
+    """
+
+    #: Flags for compiling the regular expressions.
+    #: Defaults to MULTILINE.
+    flags = re.MULTILINE
+
+    #: At all time there is a stack of states. Initially, the stack contains
+    #: a single state 'root'. The top of the stack is called "the current state".
+    #:
+    #: Dict of ``{'state': [(regex, tokentype, new_state), ...], ...}``
+    #:
+    #: ``new_state`` can be omitted to signify no state transition.
+    #: If ``new_state`` is a string, it is pushed on the stack. This ensure
+    #: the new current state is ``new_state``.
+    #: If ``new_state`` is a tuple of strings, all of those strings are pushed
+    #: on the stack and the current state will be the last element of the list.
+    #: ``new_state`` can also be ``combined('state1', 'state2', ...)``
+    #: to signify a new, anonymous state combined from the rules of two
+    #: or more existing ones.
+    #: Furthermore, it can be '#pop' to signify going back one step in
+    #: the state stack, or '#push' to push the current state on the stack
+    #: again. Note that if you push while in a combined state, the combined
+    #: state itself is pushed, and not only the state in which the rule is
+    #: defined.
+    #:
+    #: The tuple can also be replaced with ``include('state')``, in which
+    #: case the rules from the state named by the string are included in the
+    #: current one.
+    tokens = {}
+
+    def get_tokens_unprocessed(self, text, stack=('root',)):
+        """
+        Split ``text`` into (tokentype, text) pairs.
+
+        ``stack`` is the initial stack (default: ``['root']``)
+        """
+        pos = 0
+        tokendefs = self._tokens
+        statestack = list(stack)
+        statetokens = tokendefs[statestack[-1]]
+        while 1:
+            for rexmatch, action, new_state in statetokens:
+                m = rexmatch(text, pos)
+                if m:
+                    if action is not None:
+                        if type(action) is _TokenType:
+                            yield pos, action, m.group()
+                        else:
+                            yield from action(self, m)
+                    pos = m.end()
+                    if new_state is not None:
+                        # state transition
+                        if isinstance(new_state, tuple):
+                            for state in new_state:
+                                if state == '#pop':
+                                    if len(statestack) > 1:
+                                        statestack.pop()
+                                elif state == '#push':
+                                    statestack.append(statestack[-1])
+                                else:
+                                    statestack.append(state)
+                        elif isinstance(new_state, int):
+                            # pop, but keep at least one state on the stack
+                            # (random code leading to unexpected pops should
+                            # not allow exceptions)
+                            if abs(new_state) >= len(statestack):
+                                del statestack[1:]
+                            else:
+                                del statestack[new_state:]
+                        elif new_state == '#push':
+                            statestack.append(statestack[-1])
+                        else:
+                            assert False, f"wrong state def: {new_state!r}"
+                        statetokens = tokendefs[statestack[-1]]
+                    break
+            else:
+                # We are here only if all state tokens have been considered
+                # and there was not a match on any of them.
+                try:
+                    if text[pos] == '\n':
+                        # at EOL, reset state to "root"
+                        statestack = ['root']
+                        statetokens = tokendefs['root']
+                        yield pos, Whitespace, '\n'
+                        pos += 1
+                        continue
+                    yield pos, Error, text[pos]
+                    pos += 1
+                except IndexError:
+                    break
+
+
+class LexerContext:
+    """
+    A helper object that holds lexer position data.
+    """
+
+    def __init__(self, text, pos, stack=None, end=None):
+        self.text = text
+        self.pos = pos
+        self.end = end or len(text)  # end=0 not supported ;-)
+        self.stack = stack or ['root']
+
+    def __repr__(self):
+        return f'LexerContext({self.text!r}, {self.pos!r}, {self.stack!r})'
+
+
+class ExtendedRegexLexer(RegexLexer):
+    """
+    A RegexLexer that uses a context object to store its state.
+    """
+
+    def get_tokens_unprocessed(self, text=None, context=None):
+        """
+        Split ``text`` into (tokentype, text) pairs.
+        If ``context`` is given, use this lexer context instead.
+        """
+        tokendefs = self._tokens
+        if not context:
+            ctx = LexerContext(text, 0)
+            statetokens = tokendefs['root']
+        else:
+            ctx = context
+            statetokens = tokendefs[ctx.stack[-1]]
+            text = ctx.text
+        while 1:
+            for rexmatch, action, new_state in statetokens:
+                m = rexmatch(text, ctx.pos, ctx.end)
+                if m:
+                    if action is not None:
+                        if type(action) is _TokenType:
+                            yield ctx.pos, action, m.group()
+                            ctx.pos = m.end()
+                        else:
+                            yield from action(self, m, ctx)
+                            if not new_state:
+                                # altered the state stack?
+                                statetokens = tokendefs[ctx.stack[-1]]
+                    # CAUTION: callback must set ctx.pos!
+                    if new_state is not None:
+                        # state transition
+                        if isinstance(new_state, tuple):
+                            for state in new_state:
+                                if state == '#pop':
+                                    if len(ctx.stack) > 1:
+                                        ctx.stack.pop()
+                                elif state == '#push':
+                                    ctx.stack.append(ctx.stack[-1])
+                                else:
+                                    ctx.stack.append(state)
+                        elif isinstance(new_state, int):
+                            # see RegexLexer for why this check is made
+                            if abs(new_state) >= len(ctx.stack):
+                                del ctx.stack[1:]
+                            else:
+                                del ctx.stack[new_state:]
+                        elif new_state == '#push':
+                            ctx.stack.append(ctx.stack[-1])
+                        else:
+                            assert False, f"wrong state def: {new_state!r}"
+                        statetokens = tokendefs[ctx.stack[-1]]
+                    break
+            else:
+                try:
+                    if ctx.pos >= ctx.end:
+                        break
+                    if text[ctx.pos] == '\n':
+                        # at EOL, reset state to "root"
+                        ctx.stack = ['root']
+                        statetokens = tokendefs['root']
+                        yield ctx.pos, Text, '\n'
+                        ctx.pos += 1
+                        continue
+                    yield ctx.pos, Error, text[ctx.pos]
+                    ctx.pos += 1
+                except IndexError:
+                    break
+
+
+def do_insertions(insertions, tokens):
+    """
+    Helper for lexers which must combine the results of several
+    sublexers.
+
+    ``insertions`` is a list of ``(index, itokens)`` pairs.
+    Each ``itokens`` iterable should be inserted at position
+    ``index`` into the token stream given by the ``tokens``
+    argument.
+
+    The result is a combined token stream.
+
+    TODO: clean up the code here.
+    """
+    insertions = iter(insertions)
+    try:
+        index, itokens = next(insertions)
+    except StopIteration:
+        # no insertions
+        yield from tokens
+        return
+
+    realpos = None
+    insleft = True
+
+    # iterate over the token stream where we want to insert
+    # the tokens from the insertion list.
+    for i, t, v in tokens:
+        # first iteration. store the position of first item
+        if realpos is None:
+            realpos = i
+        oldi = 0
+        while insleft and i + len(v) >= index:
+            tmpval = v[oldi:index - i]
+            if tmpval:
+                yield realpos, t, tmpval
+                realpos += len(tmpval)
+            for it_index, it_token, it_value in itokens:
+                yield realpos, it_token, it_value
+                realpos += len(it_value)
+            oldi = index - i
+            try:
+                index, itokens = next(insertions)
+            except StopIteration:
+                insleft = False
+                break  # not strictly necessary
+        if oldi < len(v):
+            yield realpos, t, v[oldi:]
+            realpos += len(v) - oldi
+
+    # leftover tokens
+    while insleft:
+        # no normal tokens, set realpos to zero
+        realpos = realpos or 0
+        for p, t, v in itokens:
+            yield realpos, t, v
+            realpos += len(v)
+        try:
+            index, itokens = next(insertions)
+        except StopIteration:
+            insleft = False
+            break  # not strictly necessary
+
+
+class ProfilingRegexLexerMeta(RegexLexerMeta):
+    """Metaclass for ProfilingRegexLexer, collects regex timing info."""
+
+    def _process_regex(cls, regex, rflags, state):
+        if isinstance(regex, words):
+            rex = regex_opt(regex.words, prefix=regex.prefix,
+                            suffix=regex.suffix)
+        else:
+            rex = regex
+        compiled = re.compile(rex, rflags)
+
+        def match_func(text, pos, endpos=sys.maxsize):
+            info = cls._prof_data[-1].setdefault((state, rex), [0, 0.0])
+            t0 = time.time()
+            res = compiled.match(text, pos, endpos)
+            t1 = time.time()
+            info[0] += 1
+            info[1] += t1 - t0
+            return res
+        return match_func
+
+
+class ProfilingRegexLexer(RegexLexer, metaclass=ProfilingRegexLexerMeta):
+    """Drop-in replacement for RegexLexer that does profiling of its regexes."""
+
+    _prof_data = []
+    _prof_sort_index = 4  # defaults to time per call
+
+    def get_tokens_unprocessed(self, text, stack=('root',)):
+        # this needs to be a stack, since using(this) will produce nested calls
+        self.__class__._prof_data.append({})
+        yield from RegexLexer.get_tokens_unprocessed(self, text, stack)
+        rawdata = self.__class__._prof_data.pop()
+        data = sorted(((s, repr(r).strip('u\'').replace('\\\\', '\\')[:65],
+                        n, 1000 * t, 1000 * t / n)
+                       for ((s, r), (n, t)) in rawdata.items()),
+                      key=lambda x: x[self._prof_sort_index],
+                      reverse=True)
+        sum_total = sum(x[3] for x in data)
+
+        print()
+        print('Profiling result for %s lexing %d chars in %.3f ms' %
+              (self.__class__.__name__, len(text), sum_total))
+        print('=' * 110)
+        print('%-20s %-64s ncalls  tottime  percall' % ('state', 'regex'))
+        print('-' * 110)
+        for d in data:
+            print('%-20s %-65s %5d %8.4f %8.4f' % d)
+        print('=' * 110)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/lexers/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/lexers/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..7dcb103625dc76cbedd80e1d32c466ac926a4ba1
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/lexers/__init__.py
@@ -0,0 +1,362 @@
+"""
+    pygments.lexers
+    ~~~~~~~~~~~~~~~
+
+    Pygments lexers.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+import re
+import sys
+import types
+import fnmatch
+from os.path import basename
+
+from pip._vendor.pygments.lexers._mapping import LEXERS
+from pip._vendor.pygments.modeline import get_filetype_from_buffer
+from pip._vendor.pygments.plugin import find_plugin_lexers
+from pip._vendor.pygments.util import ClassNotFound, guess_decode
+
+COMPAT = {
+    'Python3Lexer': 'PythonLexer',
+    'Python3TracebackLexer': 'PythonTracebackLexer',
+    'LeanLexer': 'Lean3Lexer',
+}
+
+__all__ = ['get_lexer_by_name', 'get_lexer_for_filename', 'find_lexer_class',
+           'guess_lexer', 'load_lexer_from_file'] + list(LEXERS) + list(COMPAT)
+
+_lexer_cache = {}
+_pattern_cache = {}
+
+
+def _fn_matches(fn, glob):
+    """Return whether the supplied file name fn matches pattern filename."""
+    if glob not in _pattern_cache:
+        pattern = _pattern_cache[glob] = re.compile(fnmatch.translate(glob))
+        return pattern.match(fn)
+    return _pattern_cache[glob].match(fn)
+
+
+def _load_lexers(module_name):
+    """Load a lexer (and all others in the module too)."""
+    mod = __import__(module_name, None, None, ['__all__'])
+    for lexer_name in mod.__all__:
+        cls = getattr(mod, lexer_name)
+        _lexer_cache[cls.name] = cls
+
+
+def get_all_lexers(plugins=True):
+    """Return a generator of tuples in the form ``(name, aliases,
+    filenames, mimetypes)`` of all know lexers.
+
+    If *plugins* is true (the default), plugin lexers supplied by entrypoints
+    are also returned.  Otherwise, only builtin ones are considered.
+    """
+    for item in LEXERS.values():
+        yield item[1:]
+    if plugins:
+        for lexer in find_plugin_lexers():
+            yield lexer.name, lexer.aliases, lexer.filenames, lexer.mimetypes
+
+
+def find_lexer_class(name):
+    """
+    Return the `Lexer` subclass that with the *name* attribute as given by
+    the *name* argument.
+    """
+    if name in _lexer_cache:
+        return _lexer_cache[name]
+    # lookup builtin lexers
+    for module_name, lname, aliases, _, _ in LEXERS.values():
+        if name == lname:
+            _load_lexers(module_name)
+            return _lexer_cache[name]
+    # continue with lexers from setuptools entrypoints
+    for cls in find_plugin_lexers():
+        if cls.name == name:
+            return cls
+
+
+def find_lexer_class_by_name(_alias):
+    """
+    Return the `Lexer` subclass that has `alias` in its aliases list, without
+    instantiating it.
+
+    Like `get_lexer_by_name`, but does not instantiate the class.
+
+    Will raise :exc:`pygments.util.ClassNotFound` if no lexer with that alias is
+    found.
+
+    .. versionadded:: 2.2
+    """
+    if not _alias:
+        raise ClassNotFound(f'no lexer for alias {_alias!r} found')
+    # lookup builtin lexers
+    for module_name, name, aliases, _, _ in LEXERS.values():
+        if _alias.lower() in aliases:
+            if name not in _lexer_cache:
+                _load_lexers(module_name)
+            return _lexer_cache[name]
+    # continue with lexers from setuptools entrypoints
+    for cls in find_plugin_lexers():
+        if _alias.lower() in cls.aliases:
+            return cls
+    raise ClassNotFound(f'no lexer for alias {_alias!r} found')
+
+
+def get_lexer_by_name(_alias, **options):
+    """
+    Return an instance of a `Lexer` subclass that has `alias` in its
+    aliases list. The lexer is given the `options` at its
+    instantiation.
+
+    Will raise :exc:`pygments.util.ClassNotFound` if no lexer with that alias is
+    found.
+    """
+    if not _alias:
+        raise ClassNotFound(f'no lexer for alias {_alias!r} found')
+
+    # lookup builtin lexers
+    for module_name, name, aliases, _, _ in LEXERS.values():
+        if _alias.lower() in aliases:
+            if name not in _lexer_cache:
+                _load_lexers(module_name)
+            return _lexer_cache[name](**options)
+    # continue with lexers from setuptools entrypoints
+    for cls in find_plugin_lexers():
+        if _alias.lower() in cls.aliases:
+            return cls(**options)
+    raise ClassNotFound(f'no lexer for alias {_alias!r} found')
+
+
+def load_lexer_from_file(filename, lexername="CustomLexer", **options):
+    """Load a lexer from a file.
+
+    This method expects a file located relative to the current working
+    directory, which contains a Lexer class. By default, it expects the
+    Lexer to be name CustomLexer; you can specify your own class name
+    as the second argument to this function.
+
+    Users should be very careful with the input, because this method
+    is equivalent to running eval on the input file.
+
+    Raises ClassNotFound if there are any problems importing the Lexer.
+
+    .. versionadded:: 2.2
+    """
+    try:
+        # This empty dict will contain the namespace for the exec'd file
+        custom_namespace = {}
+        with open(filename, 'rb') as f:
+            exec(f.read(), custom_namespace)
+        # Retrieve the class `lexername` from that namespace
+        if lexername not in custom_namespace:
+            raise ClassNotFound(f'no valid {lexername} class found in {filename}')
+        lexer_class = custom_namespace[lexername]
+        # And finally instantiate it with the options
+        return lexer_class(**options)
+    except OSError as err:
+        raise ClassNotFound(f'cannot read {filename}: {err}')
+    except ClassNotFound:
+        raise
+    except Exception as err:
+        raise ClassNotFound(f'error when loading custom lexer: {err}')
+
+
+def find_lexer_class_for_filename(_fn, code=None):
+    """Get a lexer for a filename.
+
+    If multiple lexers match the filename pattern, use ``analyse_text()`` to
+    figure out which one is more appropriate.
+
+    Returns None if not found.
+    """
+    matches = []
+    fn = basename(_fn)
+    for modname, name, _, filenames, _ in LEXERS.values():
+        for filename in filenames:
+            if _fn_matches(fn, filename):
+                if name not in _lexer_cache:
+                    _load_lexers(modname)
+                matches.append((_lexer_cache[name], filename))
+    for cls in find_plugin_lexers():
+        for filename in cls.filenames:
+            if _fn_matches(fn, filename):
+                matches.append((cls, filename))
+
+    if isinstance(code, bytes):
+        # decode it, since all analyse_text functions expect unicode
+        code = guess_decode(code)
+
+    def get_rating(info):
+        cls, filename = info
+        # explicit patterns get a bonus
+        bonus = '*' not in filename and 0.5 or 0
+        # The class _always_ defines analyse_text because it's included in
+        # the Lexer class.  The default implementation returns None which
+        # gets turned into 0.0.  Run scripts/detect_missing_analyse_text.py
+        # to find lexers which need it overridden.
+        if code:
+            return cls.analyse_text(code) + bonus, cls.__name__
+        return cls.priority + bonus, cls.__name__
+
+    if matches:
+        matches.sort(key=get_rating)
+        # print "Possible lexers, after sort:", matches
+        return matches[-1][0]
+
+
+def get_lexer_for_filename(_fn, code=None, **options):
+    """Get a lexer for a filename.
+
+    Return a `Lexer` subclass instance that has a filename pattern
+    matching `fn`. The lexer is given the `options` at its
+    instantiation.
+
+    Raise :exc:`pygments.util.ClassNotFound` if no lexer for that filename
+    is found.
+
+    If multiple lexers match the filename pattern, use their ``analyse_text()``
+    methods to figure out which one is more appropriate.
+    """
+    res = find_lexer_class_for_filename(_fn, code)
+    if not res:
+        raise ClassNotFound(f'no lexer for filename {_fn!r} found')
+    return res(**options)
+
+
+def get_lexer_for_mimetype(_mime, **options):
+    """
+    Return a `Lexer` subclass instance that has `mime` in its mimetype
+    list. The lexer is given the `options` at its instantiation.
+
+    Will raise :exc:`pygments.util.ClassNotFound` if not lexer for that mimetype
+    is found.
+    """
+    for modname, name, _, _, mimetypes in LEXERS.values():
+        if _mime in mimetypes:
+            if name not in _lexer_cache:
+                _load_lexers(modname)
+            return _lexer_cache[name](**options)
+    for cls in find_plugin_lexers():
+        if _mime in cls.mimetypes:
+            return cls(**options)
+    raise ClassNotFound(f'no lexer for mimetype {_mime!r} found')
+
+
+def _iter_lexerclasses(plugins=True):
+    """Return an iterator over all lexer classes."""
+    for key in sorted(LEXERS):
+        module_name, name = LEXERS[key][:2]
+        if name not in _lexer_cache:
+            _load_lexers(module_name)
+        yield _lexer_cache[name]
+    if plugins:
+        yield from find_plugin_lexers()
+
+
+def guess_lexer_for_filename(_fn, _text, **options):
+    """
+    As :func:`guess_lexer()`, but only lexers which have a pattern in `filenames`
+    or `alias_filenames` that matches `filename` are taken into consideration.
+
+    :exc:`pygments.util.ClassNotFound` is raised if no lexer thinks it can
+    handle the content.
+    """
+    fn = basename(_fn)
+    primary = {}
+    matching_lexers = set()
+    for lexer in _iter_lexerclasses():
+        for filename in lexer.filenames:
+            if _fn_matches(fn, filename):
+                matching_lexers.add(lexer)
+                primary[lexer] = True
+        for filename in lexer.alias_filenames:
+            if _fn_matches(fn, filename):
+                matching_lexers.add(lexer)
+                primary[lexer] = False
+    if not matching_lexers:
+        raise ClassNotFound(f'no lexer for filename {fn!r} found')
+    if len(matching_lexers) == 1:
+        return matching_lexers.pop()(**options)
+    result = []
+    for lexer in matching_lexers:
+        rv = lexer.analyse_text(_text)
+        if rv == 1.0:
+            return lexer(**options)
+        result.append((rv, lexer))
+
+    def type_sort(t):
+        # sort by:
+        # - analyse score
+        # - is primary filename pattern?
+        # - priority
+        # - last resort: class name
+        return (t[0], primary[t[1]], t[1].priority, t[1].__name__)
+    result.sort(key=type_sort)
+
+    return result[-1][1](**options)
+
+
+def guess_lexer(_text, **options):
+    """
+    Return a `Lexer` subclass instance that's guessed from the text in
+    `text`. For that, the :meth:`.analyse_text()` method of every known lexer
+    class is called with the text as argument, and the lexer which returned the
+    highest value will be instantiated and returned.
+
+    :exc:`pygments.util.ClassNotFound` is raised if no lexer thinks it can
+    handle the content.
+    """
+
+    if not isinstance(_text, str):
+        inencoding = options.get('inencoding', options.get('encoding'))
+        if inencoding:
+            _text = _text.decode(inencoding or 'utf8')
+        else:
+            _text, _ = guess_decode(_text)
+
+    # try to get a vim modeline first
+    ft = get_filetype_from_buffer(_text)
+
+    if ft is not None:
+        try:
+            return get_lexer_by_name(ft, **options)
+        except ClassNotFound:
+            pass
+
+    best_lexer = [0.0, None]
+    for lexer in _iter_lexerclasses():
+        rv = lexer.analyse_text(_text)
+        if rv == 1.0:
+            return lexer(**options)
+        if rv > best_lexer[0]:
+            best_lexer[:] = (rv, lexer)
+    if not best_lexer[0] or best_lexer[1] is None:
+        raise ClassNotFound('no lexer matching the text found')
+    return best_lexer[1](**options)
+
+
+class _automodule(types.ModuleType):
+    """Automatically import lexers."""
+
+    def __getattr__(self, name):
+        info = LEXERS.get(name)
+        if info:
+            _load_lexers(info[0])
+            cls = _lexer_cache[info[1]]
+            setattr(self, name, cls)
+            return cls
+        if name in COMPAT:
+            return getattr(self, COMPAT[name])
+        raise AttributeError(name)
+
+
+oldmod = sys.modules[__name__]
+newmod = _automodule(__name__)
+newmod.__dict__.update(oldmod.__dict__)
+sys.modules[__name__] = newmod
+del newmod.newmod, newmod.oldmod, newmod.sys, newmod.types
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+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/lexers/_mapping.py
@@ -0,0 +1,603 @@
+# Automatically generated by scripts/gen_mapfiles.py.
+# DO NOT EDIT BY HAND; run `tox -e mapfiles` instead.
+
+LEXERS = {
+    'ABAPLexer': ('pip._vendor.pygments.lexers.business', 'ABAP', ('abap',), ('*.abap', '*.ABAP'), ('text/x-abap',)),
+    'AMDGPULexer': ('pip._vendor.pygments.lexers.amdgpu', 'AMDGPU', ('amdgpu',), ('*.isa',), ()),
+    'APLLexer': ('pip._vendor.pygments.lexers.apl', 'APL', ('apl',), ('*.apl', '*.aplf', '*.aplo', '*.apln', '*.aplc', '*.apli', '*.dyalog'), ()),
+    'AbnfLexer': ('pip._vendor.pygments.lexers.grammar_notation', 'ABNF', ('abnf',), ('*.abnf',), ('text/x-abnf',)),
+    'ActionScript3Lexer': ('pip._vendor.pygments.lexers.actionscript', 'ActionScript 3', ('actionscript3', 'as3'), ('*.as',), ('application/x-actionscript3', 'text/x-actionscript3', 'text/actionscript3')),
+    'ActionScriptLexer': ('pip._vendor.pygments.lexers.actionscript', 'ActionScript', ('actionscript', 'as'), ('*.as',), ('application/x-actionscript', 'text/x-actionscript', 'text/actionscript')),
+    'AdaLexer': ('pip._vendor.pygments.lexers.ada', 'Ada', ('ada', 'ada95', 'ada2005'), ('*.adb', '*.ads', '*.ada'), ('text/x-ada',)),
+    'AdlLexer': ('pip._vendor.pygments.lexers.archetype', 'ADL', ('adl',), ('*.adl', '*.adls', '*.adlf', '*.adlx'), ()),
+    'AgdaLexer': ('pip._vendor.pygments.lexers.haskell', 'Agda', ('agda',), ('*.agda',), ('text/x-agda',)),
+    'AheuiLexer': ('pip._vendor.pygments.lexers.esoteric', 'Aheui', ('aheui',), ('*.aheui',), ()),
+    'AlloyLexer': ('pip._vendor.pygments.lexers.dsls', 'Alloy', ('alloy',), ('*.als',), ('text/x-alloy',)),
+    'AmbientTalkLexer': ('pip._vendor.pygments.lexers.ambient', 'AmbientTalk', ('ambienttalk', 'ambienttalk/2', 'at'), ('*.at',), ('text/x-ambienttalk',)),
+    'AmplLexer': ('pip._vendor.pygments.lexers.ampl', 'Ampl', ('ampl',), ('*.run',), ()),
+    'Angular2HtmlLexer': ('pip._vendor.pygments.lexers.templates', 'HTML + Angular2', ('html+ng2',), ('*.ng2',), ()),
+    'Angular2Lexer': ('pip._vendor.pygments.lexers.templates', 'Angular2', ('ng2',), (), ()),
+    'AntlrActionScriptLexer': ('pip._vendor.pygments.lexers.parsers', 'ANTLR With ActionScript Target', ('antlr-actionscript', 'antlr-as'), ('*.G', '*.g'), ()),
+    'AntlrCSharpLexer': ('pip._vendor.pygments.lexers.parsers', 'ANTLR With C# Target', ('antlr-csharp', 'antlr-c#'), ('*.G', '*.g'), ()),
+    'AntlrCppLexer': ('pip._vendor.pygments.lexers.parsers', 'ANTLR With CPP Target', ('antlr-cpp',), ('*.G', '*.g'), ()),
+    'AntlrJavaLexer': ('pip._vendor.pygments.lexers.parsers', 'ANTLR With Java Target', ('antlr-java',), ('*.G', '*.g'), ()),
+    'AntlrLexer': ('pip._vendor.pygments.lexers.parsers', 'ANTLR', ('antlr',), (), ()),
+    'AntlrObjectiveCLexer': ('pip._vendor.pygments.lexers.parsers', 'ANTLR With ObjectiveC Target', ('antlr-objc',), ('*.G', '*.g'), ()),
+    'AntlrPerlLexer': ('pip._vendor.pygments.lexers.parsers', 'ANTLR With Perl Target', ('antlr-perl',), ('*.G', '*.g'), ()),
+    'AntlrPythonLexer': ('pip._vendor.pygments.lexers.parsers', 'ANTLR With Python Target', ('antlr-python',), ('*.G', '*.g'), ()),
+    'AntlrRubyLexer': ('pip._vendor.pygments.lexers.parsers', 'ANTLR With Ruby Target', ('antlr-ruby', 'antlr-rb'), ('*.G', '*.g'), ()),
+    'ApacheConfLexer': ('pip._vendor.pygments.lexers.configs', 'ApacheConf', ('apacheconf', 'aconf', 'apache'), ('.htaccess', 'apache.conf', 'apache2.conf'), ('text/x-apacheconf',)),
+    'AppleScriptLexer': ('pip._vendor.pygments.lexers.scripting', 'AppleScript', ('applescript',), ('*.applescript',), ()),
+    'ArduinoLexer': ('pip._vendor.pygments.lexers.c_like', 'Arduino', ('arduino',), ('*.ino',), ('text/x-arduino',)),
+    'ArrowLexer': ('pip._vendor.pygments.lexers.arrow', 'Arrow', ('arrow',), ('*.arw',), ()),
+    'ArturoLexer': ('pip._vendor.pygments.lexers.arturo', 'Arturo', ('arturo', 'art'), ('*.art',), ()),
+    'AscLexer': ('pip._vendor.pygments.lexers.asc', 'ASCII armored', ('asc', 'pem'), ('*.asc', '*.pem', 'id_dsa', 'id_ecdsa', 'id_ecdsa_sk', 'id_ed25519', 'id_ed25519_sk', 'id_rsa'), ('application/pgp-keys', 'application/pgp-encrypted', 'application/pgp-signature', 'application/pem-certificate-chain')),
+    'Asn1Lexer': ('pip._vendor.pygments.lexers.asn1', 'ASN.1', ('asn1',), ('*.asn1',), ()),
+    'AspectJLexer': ('pip._vendor.pygments.lexers.jvm', 'AspectJ', ('aspectj',), ('*.aj',), ('text/x-aspectj',)),
+    'AsymptoteLexer': ('pip._vendor.pygments.lexers.graphics', 'Asymptote', ('asymptote', 'asy'), ('*.asy',), ('text/x-asymptote',)),
+    'AugeasLexer': ('pip._vendor.pygments.lexers.configs', 'Augeas', ('augeas',), ('*.aug',), ()),
+    'AutoItLexer': ('pip._vendor.pygments.lexers.automation', 'AutoIt', ('autoit',), ('*.au3',), ('text/x-autoit',)),
+    'AutohotkeyLexer': ('pip._vendor.pygments.lexers.automation', 'autohotkey', ('autohotkey', 'ahk'), ('*.ahk', '*.ahkl'), ('text/x-autohotkey',)),
+    'AwkLexer': ('pip._vendor.pygments.lexers.textedit', 'Awk', ('awk', 'gawk', 'mawk', 'nawk'), ('*.awk',), ('application/x-awk',)),
+    'BBCBasicLexer': ('pip._vendor.pygments.lexers.basic', 'BBC Basic', ('bbcbasic',), ('*.bbc',), ()),
+    'BBCodeLexer': ('pip._vendor.pygments.lexers.markup', 'BBCode', ('bbcode',), (), ('text/x-bbcode',)),
+    'BCLexer': ('pip._vendor.pygments.lexers.algebra', 'BC', ('bc',), ('*.bc',), ()),
+    'BQNLexer': ('pip._vendor.pygments.lexers.bqn', 'BQN', ('bqn',), ('*.bqn',), ()),
+    'BSTLexer': ('pip._vendor.pygments.lexers.bibtex', 'BST', ('bst', 'bst-pybtex'), ('*.bst',), ()),
+    'BareLexer': ('pip._vendor.pygments.lexers.bare', 'BARE', ('bare',), ('*.bare',), ()),
+    'BaseMakefileLexer': ('pip._vendor.pygments.lexers.make', 'Base Makefile', ('basemake',), (), ()),
+    'BashLexer': ('pip._vendor.pygments.lexers.shell', 'Bash', ('bash', 'sh', 'ksh', 'zsh', 'shell', 'openrc'), ('*.sh', '*.ksh', '*.bash', '*.ebuild', '*.eclass', '*.exheres-0', '*.exlib', '*.zsh', '.bashrc', 'bashrc', '.bash_*', 'bash_*', 'zshrc', '.zshrc', '.kshrc', 'kshrc', 'PKGBUILD'), ('application/x-sh', 'application/x-shellscript', 'text/x-shellscript')),
+    'BashSessionLexer': ('pip._vendor.pygments.lexers.shell', 'Bash Session', ('console', 'shell-session'), ('*.sh-session', '*.shell-session'), ('application/x-shell-session', 'application/x-sh-session')),
+    'BatchLexer': ('pip._vendor.pygments.lexers.shell', 'Batchfile', ('batch', 'bat', 'dosbatch', 'winbatch'), ('*.bat', '*.cmd'), ('application/x-dos-batch',)),
+    'BddLexer': ('pip._vendor.pygments.lexers.bdd', 'Bdd', ('bdd',), ('*.feature',), ('text/x-bdd',)),
+    'BefungeLexer': ('pip._vendor.pygments.lexers.esoteric', 'Befunge', ('befunge',), ('*.befunge',), ('application/x-befunge',)),
+    'BerryLexer': ('pip._vendor.pygments.lexers.berry', 'Berry', ('berry', 'be'), ('*.be',), ('text/x-berry', 'application/x-berry')),
+    'BibTeXLexer': ('pip._vendor.pygments.lexers.bibtex', 'BibTeX', ('bibtex', 'bib'), ('*.bib',), ('text/x-bibtex',)),
+    'BlitzBasicLexer': ('pip._vendor.pygments.lexers.basic', 'BlitzBasic', ('blitzbasic', 'b3d', 'bplus'), ('*.bb', '*.decls'), ('text/x-bb',)),
+    'BlitzMaxLexer': ('pip._vendor.pygments.lexers.basic', 'BlitzMax', ('blitzmax', 'bmax'), ('*.bmx',), ('text/x-bmx',)),
+    'BlueprintLexer': ('pip._vendor.pygments.lexers.blueprint', 'Blueprint', ('blueprint',), ('*.blp',), ('text/x-blueprint',)),
+    'BnfLexer': ('pip._vendor.pygments.lexers.grammar_notation', 'BNF', ('bnf',), ('*.bnf',), ('text/x-bnf',)),
+    'BoaLexer': ('pip._vendor.pygments.lexers.boa', 'Boa', ('boa',), ('*.boa',), ()),
+    'BooLexer': ('pip._vendor.pygments.lexers.dotnet', 'Boo', ('boo',), ('*.boo',), ('text/x-boo',)),
+    'BoogieLexer': ('pip._vendor.pygments.lexers.verification', 'Boogie', ('boogie',), ('*.bpl',), ()),
+    'BrainfuckLexer': ('pip._vendor.pygments.lexers.esoteric', 'Brainfuck', ('brainfuck', 'bf'), ('*.bf', '*.b'), ('application/x-brainfuck',)),
+    'BugsLexer': ('pip._vendor.pygments.lexers.modeling', 'BUGS', ('bugs', 'winbugs', 'openbugs'), ('*.bug',), ()),
+    'CAmkESLexer': ('pip._vendor.pygments.lexers.esoteric', 'CAmkES', ('camkes', 'idl4'), ('*.camkes', '*.idl4'), ()),
+    'CLexer': ('pip._vendor.pygments.lexers.c_cpp', 'C', ('c',), ('*.c', '*.h', '*.idc', '*.x[bp]m'), ('text/x-chdr', 'text/x-csrc', 'image/x-xbitmap', 'image/x-xpixmap')),
+    'CMakeLexer': ('pip._vendor.pygments.lexers.make', 'CMake', ('cmake',), ('*.cmake', 'CMakeLists.txt'), ('text/x-cmake',)),
+    'CObjdumpLexer': ('pip._vendor.pygments.lexers.asm', 'c-objdump', ('c-objdump',), ('*.c-objdump',), ('text/x-c-objdump',)),
+    'CPSALexer': ('pip._vendor.pygments.lexers.lisp', 'CPSA', ('cpsa',), ('*.cpsa',), ()),
+    'CSSUL4Lexer': ('pip._vendor.pygments.lexers.ul4', 'CSS+UL4', ('css+ul4',), ('*.cssul4',), ()),
+    'CSharpAspxLexer': ('pip._vendor.pygments.lexers.dotnet', 'aspx-cs', ('aspx-cs',), ('*.aspx', '*.asax', '*.ascx', '*.ashx', '*.asmx', '*.axd'), ()),
+    'CSharpLexer': ('pip._vendor.pygments.lexers.dotnet', 'C#', ('csharp', 'c#', 'cs'), ('*.cs',), ('text/x-csharp',)),
+    'Ca65Lexer': ('pip._vendor.pygments.lexers.asm', 'ca65 assembler', ('ca65',), ('*.s',), ()),
+    'CadlLexer': ('pip._vendor.pygments.lexers.archetype', 'cADL', ('cadl',), ('*.cadl',), ()),
+    'CapDLLexer': ('pip._vendor.pygments.lexers.esoteric', 'CapDL', ('capdl',), ('*.cdl',), ()),
+    'CapnProtoLexer': ('pip._vendor.pygments.lexers.capnproto', "Cap'n Proto", ('capnp',), ('*.capnp',), ()),
+    'CarbonLexer': ('pip._vendor.pygments.lexers.carbon', 'Carbon', ('carbon',), ('*.carbon',), ('text/x-carbon',)),
+    'CbmBasicV2Lexer': ('pip._vendor.pygments.lexers.basic', 'CBM BASIC V2', ('cbmbas',), ('*.bas',), ()),
+    'CddlLexer': ('pip._vendor.pygments.lexers.cddl', 'CDDL', ('cddl',), ('*.cddl',), ('text/x-cddl',)),
+    'CeylonLexer': ('pip._vendor.pygments.lexers.jvm', 'Ceylon', ('ceylon',), ('*.ceylon',), ('text/x-ceylon',)),
+    'Cfengine3Lexer': ('pip._vendor.pygments.lexers.configs', 'CFEngine3', ('cfengine3', 'cf3'), ('*.cf',), ()),
+    'ChaiscriptLexer': ('pip._vendor.pygments.lexers.scripting', 'ChaiScript', ('chaiscript', 'chai'), ('*.chai',), ('text/x-chaiscript', 'application/x-chaiscript')),
+    'ChapelLexer': ('pip._vendor.pygments.lexers.chapel', 'Chapel', ('chapel', 'chpl'), ('*.chpl',), ()),
+    'CharmciLexer': ('pip._vendor.pygments.lexers.c_like', 'Charmci', ('charmci',), ('*.ci',), ()),
+    'CheetahHtmlLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+Cheetah', ('html+cheetah', 'html+spitfire', 'htmlcheetah'), (), ('text/html+cheetah', 'text/html+spitfire')),
+    'CheetahJavascriptLexer': ('pip._vendor.pygments.lexers.templates', 'JavaScript+Cheetah', ('javascript+cheetah', 'js+cheetah', 'javascript+spitfire', 'js+spitfire'), (), ('application/x-javascript+cheetah', 'text/x-javascript+cheetah', 'text/javascript+cheetah', 'application/x-javascript+spitfire', 'text/x-javascript+spitfire', 'text/javascript+spitfire')),
+    'CheetahLexer': ('pip._vendor.pygments.lexers.templates', 'Cheetah', ('cheetah', 'spitfire'), ('*.tmpl', '*.spt'), ('application/x-cheetah', 'application/x-spitfire')),
+    'CheetahXmlLexer': ('pip._vendor.pygments.lexers.templates', 'XML+Cheetah', ('xml+cheetah', 'xml+spitfire'), (), ('application/xml+cheetah', 'application/xml+spitfire')),
+    'CirruLexer': ('pip._vendor.pygments.lexers.webmisc', 'Cirru', ('cirru',), ('*.cirru',), ('text/x-cirru',)),
+    'ClayLexer': ('pip._vendor.pygments.lexers.c_like', 'Clay', ('clay',), ('*.clay',), ('text/x-clay',)),
+    'CleanLexer': ('pip._vendor.pygments.lexers.clean', 'Clean', ('clean',), ('*.icl', '*.dcl'), ()),
+    'ClojureLexer': ('pip._vendor.pygments.lexers.jvm', 'Clojure', ('clojure', 'clj'), ('*.clj', '*.cljc'), ('text/x-clojure', 'application/x-clojure')),
+    'ClojureScriptLexer': ('pip._vendor.pygments.lexers.jvm', 'ClojureScript', ('clojurescript', 'cljs'), ('*.cljs',), ('text/x-clojurescript', 'application/x-clojurescript')),
+    'CobolFreeformatLexer': ('pip._vendor.pygments.lexers.business', 'COBOLFree', ('cobolfree',), ('*.cbl', '*.CBL'), ()),
+    'CobolLexer': ('pip._vendor.pygments.lexers.business', 'COBOL', ('cobol',), ('*.cob', '*.COB', '*.cpy', '*.CPY'), ('text/x-cobol',)),
+    'CodeQLLexer': ('pip._vendor.pygments.lexers.codeql', 'CodeQL', ('codeql', 'ql'), ('*.ql', '*.qll'), ()),
+    'CoffeeScriptLexer': ('pip._vendor.pygments.lexers.javascript', 'CoffeeScript', ('coffeescript', 'coffee-script', 'coffee'), ('*.coffee',), ('text/coffeescript',)),
+    'ColdfusionCFCLexer': ('pip._vendor.pygments.lexers.templates', 'Coldfusion CFC', ('cfc',), ('*.cfc',), ()),
+    'ColdfusionHtmlLexer': ('pip._vendor.pygments.lexers.templates', 'Coldfusion HTML', ('cfm',), ('*.cfm', '*.cfml'), ('application/x-coldfusion',)),
+    'ColdfusionLexer': ('pip._vendor.pygments.lexers.templates', 'cfstatement', ('cfs',), (), ()),
+    'Comal80Lexer': ('pip._vendor.pygments.lexers.comal', 'COMAL-80', ('comal', 'comal80'), ('*.cml', '*.comal'), ()),
+    'CommonLispLexer': ('pip._vendor.pygments.lexers.lisp', 'Common Lisp', ('common-lisp', 'cl', 'lisp'), ('*.cl', '*.lisp'), ('text/x-common-lisp',)),
+    'ComponentPascalLexer': ('pip._vendor.pygments.lexers.oberon', 'Component Pascal', ('componentpascal', 'cp'), ('*.cp', '*.cps'), ('text/x-component-pascal',)),
+    'CplintLexer': ('pip._vendor.pygments.lexers.cplint', 'cplint', ('cplint',), ('*.ecl', '*.prolog', '*.pro', '*.pl', '*.P', '*.lpad', '*.cpl'), ('text/x-cplint',)),
+    'CppLexer': ('pip._vendor.pygments.lexers.c_cpp', 'C++', ('cpp', 'c++'), ('*.cpp', '*.hpp', '*.c++', '*.h++', '*.cc', '*.hh', '*.cxx', '*.hxx', '*.C', '*.H', '*.cp', '*.CPP', '*.tpp', '*.cppm', '*.ixx', '*.mxx'), ('text/x-c++hdr', 'text/x-c++src')),
+    'CppObjdumpLexer': ('pip._vendor.pygments.lexers.asm', 'cpp-objdump', ('cpp-objdump', 'c++-objdumb', 'cxx-objdump'), ('*.cpp-objdump', '*.c++-objdump', '*.cxx-objdump'), ('text/x-cpp-objdump',)),
+    'CrmshLexer': ('pip._vendor.pygments.lexers.dsls', 'Crmsh', ('crmsh', 'pcmk'), ('*.crmsh', '*.pcmk'), ()),
+    'CrocLexer': ('pip._vendor.pygments.lexers.d', 'Croc', ('croc',), ('*.croc',), ('text/x-crocsrc',)),
+    'CryptolLexer': ('pip._vendor.pygments.lexers.haskell', 'Cryptol', ('cryptol', 'cry'), ('*.cry',), ('text/x-cryptol',)),
+    'CrystalLexer': ('pip._vendor.pygments.lexers.crystal', 'Crystal', ('cr', 'crystal'), ('*.cr',), ('text/x-crystal',)),
+    'CsoundDocumentLexer': ('pip._vendor.pygments.lexers.csound', 'Csound Document', ('csound-document', 'csound-csd'), ('*.csd',), ()),
+    'CsoundOrchestraLexer': ('pip._vendor.pygments.lexers.csound', 'Csound Orchestra', ('csound', 'csound-orc'), ('*.orc', '*.udo'), ()),
+    'CsoundScoreLexer': ('pip._vendor.pygments.lexers.csound', 'Csound Score', ('csound-score', 'csound-sco'), ('*.sco',), ()),
+    'CssDjangoLexer': ('pip._vendor.pygments.lexers.templates', 'CSS+Django/Jinja', ('css+django', 'css+jinja'), ('*.css.j2', '*.css.jinja2'), ('text/css+django', 'text/css+jinja')),
+    'CssErbLexer': ('pip._vendor.pygments.lexers.templates', 'CSS+Ruby', ('css+ruby', 'css+erb'), (), ('text/css+ruby',)),
+    'CssGenshiLexer': ('pip._vendor.pygments.lexers.templates', 'CSS+Genshi Text', ('css+genshitext', 'css+genshi'), (), ('text/css+genshi',)),
+    'CssLexer': ('pip._vendor.pygments.lexers.css', 'CSS', ('css',), ('*.css',), ('text/css',)),
+    'CssPhpLexer': ('pip._vendor.pygments.lexers.templates', 'CSS+PHP', ('css+php',), (), ('text/css+php',)),
+    'CssSmartyLexer': ('pip._vendor.pygments.lexers.templates', 'CSS+Smarty', ('css+smarty',), (), ('text/css+smarty',)),
+    'CudaLexer': ('pip._vendor.pygments.lexers.c_like', 'CUDA', ('cuda', 'cu'), ('*.cu', '*.cuh'), ('text/x-cuda',)),
+    'CypherLexer': ('pip._vendor.pygments.lexers.graph', 'Cypher', ('cypher',), ('*.cyp', '*.cypher'), ()),
+    'CythonLexer': ('pip._vendor.pygments.lexers.python', 'Cython', ('cython', 'pyx', 'pyrex'), ('*.pyx', '*.pxd', '*.pxi'), ('text/x-cython', 'application/x-cython')),
+    'DLexer': ('pip._vendor.pygments.lexers.d', 'D', ('d',), ('*.d', '*.di'), ('text/x-dsrc',)),
+    'DObjdumpLexer': ('pip._vendor.pygments.lexers.asm', 'd-objdump', ('d-objdump',), ('*.d-objdump',), ('text/x-d-objdump',)),
+    'DarcsPatchLexer': ('pip._vendor.pygments.lexers.diff', 'Darcs Patch', ('dpatch',), ('*.dpatch', '*.darcspatch'), ()),
+    'DartLexer': ('pip._vendor.pygments.lexers.javascript', 'Dart', ('dart',), ('*.dart',), ('text/x-dart',)),
+    'Dasm16Lexer': ('pip._vendor.pygments.lexers.asm', 'DASM16', ('dasm16',), ('*.dasm16', '*.dasm'), ('text/x-dasm16',)),
+    'DaxLexer': ('pip._vendor.pygments.lexers.dax', 'Dax', ('dax',), ('*.dax',), ()),
+    'DebianControlLexer': ('pip._vendor.pygments.lexers.installers', 'Debian Control file', ('debcontrol', 'control'), ('control',), ()),
+    'DebianSourcesLexer': ('pip._vendor.pygments.lexers.installers', 'Debian Sources file', ('debian.sources',), ('*.sources',), ()),
+    'DelphiLexer': ('pip._vendor.pygments.lexers.pascal', 'Delphi', ('delphi', 'pas', 'pascal', 'objectpascal'), ('*.pas', '*.dpr'), ('text/x-pascal',)),
+    'DesktopLexer': ('pip._vendor.pygments.lexers.configs', 'Desktop file', ('desktop',), ('*.desktop',), ('application/x-desktop',)),
+    'DevicetreeLexer': ('pip._vendor.pygments.lexers.devicetree', 'Devicetree', ('devicetree', 'dts'), ('*.dts', '*.dtsi'), ('text/x-c',)),
+    'DgLexer': ('pip._vendor.pygments.lexers.python', 'dg', ('dg',), ('*.dg',), ('text/x-dg',)),
+    'DiffLexer': ('pip._vendor.pygments.lexers.diff', 'Diff', ('diff', 'udiff'), ('*.diff', '*.patch'), ('text/x-diff', 'text/x-patch')),
+    'DjangoLexer': ('pip._vendor.pygments.lexers.templates', 'Django/Jinja', ('django', 'jinja'), (), ('application/x-django-templating', 'application/x-jinja')),
+    'DnsZoneLexer': ('pip._vendor.pygments.lexers.dns', 'Zone', ('zone',), ('*.zone',), ('text/dns',)),
+    'DockerLexer': ('pip._vendor.pygments.lexers.configs', 'Docker', ('docker', 'dockerfile'), ('Dockerfile', '*.docker'), ('text/x-dockerfile-config',)),
+    'DtdLexer': ('pip._vendor.pygments.lexers.html', 'DTD', ('dtd',), ('*.dtd',), ('application/xml-dtd',)),
+    'DuelLexer': ('pip._vendor.pygments.lexers.webmisc', 'Duel', ('duel', 'jbst', 'jsonml+bst'), ('*.duel', '*.jbst'), ('text/x-duel', 'text/x-jbst')),
+    'DylanConsoleLexer': ('pip._vendor.pygments.lexers.dylan', 'Dylan session', ('dylan-console', 'dylan-repl'), ('*.dylan-console',), ('text/x-dylan-console',)),
+    'DylanLexer': ('pip._vendor.pygments.lexers.dylan', 'Dylan', ('dylan',), ('*.dylan', '*.dyl', '*.intr'), ('text/x-dylan',)),
+    'DylanLidLexer': ('pip._vendor.pygments.lexers.dylan', 'DylanLID', ('dylan-lid', 'lid'), ('*.lid', '*.hdp'), ('text/x-dylan-lid',)),
+    'ECLLexer': ('pip._vendor.pygments.lexers.ecl', 'ECL', ('ecl',), ('*.ecl',), ('application/x-ecl',)),
+    'ECLexer': ('pip._vendor.pygments.lexers.c_like', 'eC', ('ec',), ('*.ec', '*.eh'), ('text/x-echdr', 'text/x-ecsrc')),
+    'EarlGreyLexer': ('pip._vendor.pygments.lexers.javascript', 'Earl Grey', ('earl-grey', 'earlgrey', 'eg'), ('*.eg',), ('text/x-earl-grey',)),
+    'EasytrieveLexer': ('pip._vendor.pygments.lexers.scripting', 'Easytrieve', ('easytrieve',), ('*.ezt', '*.mac'), ('text/x-easytrieve',)),
+    'EbnfLexer': ('pip._vendor.pygments.lexers.parsers', 'EBNF', ('ebnf',), ('*.ebnf',), ('text/x-ebnf',)),
+    'EiffelLexer': ('pip._vendor.pygments.lexers.eiffel', 'Eiffel', ('eiffel',), ('*.e',), ('text/x-eiffel',)),
+    'ElixirConsoleLexer': ('pip._vendor.pygments.lexers.erlang', 'Elixir iex session', ('iex',), (), ('text/x-elixir-shellsession',)),
+    'ElixirLexer': ('pip._vendor.pygments.lexers.erlang', 'Elixir', ('elixir', 'ex', 'exs'), ('*.ex', '*.eex', '*.exs', '*.leex'), ('text/x-elixir',)),
+    'ElmLexer': ('pip._vendor.pygments.lexers.elm', 'Elm', ('elm',), ('*.elm',), ('text/x-elm',)),
+    'ElpiLexer': ('pip._vendor.pygments.lexers.elpi', 'Elpi', ('elpi',), ('*.elpi',), ('text/x-elpi',)),
+    'EmacsLispLexer': ('pip._vendor.pygments.lexers.lisp', 'EmacsLisp', ('emacs-lisp', 'elisp', 'emacs'), ('*.el',), ('text/x-elisp', 'application/x-elisp')),
+    'EmailLexer': ('pip._vendor.pygments.lexers.email', 'E-mail', ('email', 'eml'), ('*.eml',), ('message/rfc822',)),
+    'ErbLexer': ('pip._vendor.pygments.lexers.templates', 'ERB', ('erb',), (), ('application/x-ruby-templating',)),
+    'ErlangLexer': ('pip._vendor.pygments.lexers.erlang', 'Erlang', ('erlang',), ('*.erl', '*.hrl', '*.es', '*.escript'), ('text/x-erlang',)),
+    'ErlangShellLexer': ('pip._vendor.pygments.lexers.erlang', 'Erlang erl session', ('erl',), ('*.erl-sh',), ('text/x-erl-shellsession',)),
+    'EvoqueHtmlLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+Evoque', ('html+evoque',), (), ('text/html+evoque',)),
+    'EvoqueLexer': ('pip._vendor.pygments.lexers.templates', 'Evoque', ('evoque',), ('*.evoque',), ('application/x-evoque',)),
+    'EvoqueXmlLexer': ('pip._vendor.pygments.lexers.templates', 'XML+Evoque', ('xml+evoque',), (), ('application/xml+evoque',)),
+    'ExeclineLexer': ('pip._vendor.pygments.lexers.shell', 'execline', ('execline',), ('*.exec',), ()),
+    'EzhilLexer': ('pip._vendor.pygments.lexers.ezhil', 'Ezhil', ('ezhil',), ('*.n',), ('text/x-ezhil',)),
+    'FSharpLexer': ('pip._vendor.pygments.lexers.dotnet', 'F#', ('fsharp', 'f#'), ('*.fs', '*.fsi', '*.fsx'), ('text/x-fsharp',)),
+    'FStarLexer': ('pip._vendor.pygments.lexers.ml', 'FStar', ('fstar',), ('*.fst', '*.fsti'), ('text/x-fstar',)),
+    'FactorLexer': ('pip._vendor.pygments.lexers.factor', 'Factor', ('factor',), ('*.factor',), ('text/x-factor',)),
+    'FancyLexer': ('pip._vendor.pygments.lexers.ruby', 'Fancy', ('fancy', 'fy'), ('*.fy', '*.fancypack'), ('text/x-fancysrc',)),
+    'FantomLexer': ('pip._vendor.pygments.lexers.fantom', 'Fantom', ('fan',), ('*.fan',), ('application/x-fantom',)),
+    'FelixLexer': ('pip._vendor.pygments.lexers.felix', 'Felix', ('felix', 'flx'), ('*.flx', '*.flxh'), ('text/x-felix',)),
+    'FennelLexer': ('pip._vendor.pygments.lexers.lisp', 'Fennel', ('fennel', 'fnl'), ('*.fnl', '*.fnlm'), ('text/x-fennel',)),
+    'FiftLexer': ('pip._vendor.pygments.lexers.fift', 'Fift', ('fift', 'fif'), ('*.fif',), ()),
+    'FishShellLexer': ('pip._vendor.pygments.lexers.shell', 'Fish', ('fish', 'fishshell'), ('*.fish', '*.load'), ('application/x-fish',)),
+    'FlatlineLexer': ('pip._vendor.pygments.lexers.dsls', 'Flatline', ('flatline',), (), ('text/x-flatline',)),
+    'FloScriptLexer': ('pip._vendor.pygments.lexers.floscript', 'FloScript', ('floscript', 'flo'), ('*.flo',), ()),
+    'ForthLexer': ('pip._vendor.pygments.lexers.forth', 'Forth', ('forth',), ('*.frt', '*.fs'), ('application/x-forth',)),
+    'FortranFixedLexer': ('pip._vendor.pygments.lexers.fortran', 'FortranFixed', ('fortranfixed',), ('*.f', '*.F'), ()),
+    'FortranLexer': ('pip._vendor.pygments.lexers.fortran', 'Fortran', ('fortran', 'f90'), ('*.f03', '*.f90', '*.F03', '*.F90'), ('text/x-fortran',)),
+    'FoxProLexer': ('pip._vendor.pygments.lexers.foxpro', 'FoxPro', ('foxpro', 'vfp', 'clipper', 'xbase'), ('*.PRG', '*.prg'), ()),
+    'FreeFemLexer': ('pip._vendor.pygments.lexers.freefem', 'Freefem', ('freefem',), ('*.edp',), ('text/x-freefem',)),
+    'FuncLexer': ('pip._vendor.pygments.lexers.func', 'FunC', ('func', 'fc'), ('*.fc', '*.func'), ()),
+    'FutharkLexer': ('pip._vendor.pygments.lexers.futhark', 'Futhark', ('futhark',), ('*.fut',), ('text/x-futhark',)),
+    'GAPConsoleLexer': ('pip._vendor.pygments.lexers.algebra', 'GAP session', ('gap-console', 'gap-repl'), ('*.tst',), ()),
+    'GAPLexer': ('pip._vendor.pygments.lexers.algebra', 'GAP', ('gap',), ('*.g', '*.gd', '*.gi', '*.gap'), ()),
+    'GDScriptLexer': ('pip._vendor.pygments.lexers.gdscript', 'GDScript', ('gdscript', 'gd'), ('*.gd',), ('text/x-gdscript', 'application/x-gdscript')),
+    'GLShaderLexer': ('pip._vendor.pygments.lexers.graphics', 'GLSL', ('glsl',), ('*.vert', '*.frag', '*.geo'), ('text/x-glslsrc',)),
+    'GSQLLexer': ('pip._vendor.pygments.lexers.gsql', 'GSQL', ('gsql',), ('*.gsql',), ()),
+    'GasLexer': ('pip._vendor.pygments.lexers.asm', 'GAS', ('gas', 'asm'), ('*.s', '*.S'), ('text/x-gas',)),
+    'GcodeLexer': ('pip._vendor.pygments.lexers.gcodelexer', 'g-code', ('gcode',), ('*.gcode',), ()),
+    'GenshiLexer': ('pip._vendor.pygments.lexers.templates', 'Genshi', ('genshi', 'kid', 'xml+genshi', 'xml+kid'), ('*.kid',), ('application/x-genshi', 'application/x-kid')),
+    'GenshiTextLexer': ('pip._vendor.pygments.lexers.templates', 'Genshi Text', ('genshitext',), (), ('application/x-genshi-text', 'text/x-genshi')),
+    'GettextLexer': ('pip._vendor.pygments.lexers.textfmts', 'Gettext Catalog', ('pot', 'po'), ('*.pot', '*.po'), ('application/x-gettext', 'text/x-gettext', 'text/gettext')),
+    'GherkinLexer': ('pip._vendor.pygments.lexers.testing', 'Gherkin', ('gherkin', 'cucumber'), ('*.feature',), ('text/x-gherkin',)),
+    'GleamLexer': ('pip._vendor.pygments.lexers.gleam', 'Gleam', ('gleam',), ('*.gleam',), ('text/x-gleam',)),
+    'GnuplotLexer': ('pip._vendor.pygments.lexers.graphics', 'Gnuplot', ('gnuplot',), ('*.plot', '*.plt'), ('text/x-gnuplot',)),
+    'GoLexer': ('pip._vendor.pygments.lexers.go', 'Go', ('go', 'golang'), ('*.go',), ('text/x-gosrc',)),
+    'GoloLexer': ('pip._vendor.pygments.lexers.jvm', 'Golo', ('golo',), ('*.golo',), ()),
+    'GoodDataCLLexer': ('pip._vendor.pygments.lexers.business', 'GoodData-CL', ('gooddata-cl',), ('*.gdc',), ('text/x-gooddata-cl',)),
+    'GoogleSqlLexer': ('pip._vendor.pygments.lexers.sql', 'GoogleSQL', ('googlesql', 'zetasql'), ('*.googlesql', '*.googlesql.sql'), ('text/x-google-sql', 'text/x-google-sql-aux')),
+    'GosuLexer': ('pip._vendor.pygments.lexers.jvm', 'Gosu', ('gosu',), ('*.gs', '*.gsx', '*.gsp', '*.vark'), ('text/x-gosu',)),
+    'GosuTemplateLexer': ('pip._vendor.pygments.lexers.jvm', 'Gosu Template', ('gst',), ('*.gst',), ('text/x-gosu-template',)),
+    'GraphQLLexer': ('pip._vendor.pygments.lexers.graphql', 'GraphQL', ('graphql',), ('*.graphql',), ()),
+    'GraphvizLexer': ('pip._vendor.pygments.lexers.graphviz', 'Graphviz', ('graphviz', 'dot'), ('*.gv', '*.dot'), ('text/x-graphviz', 'text/vnd.graphviz')),
+    'GroffLexer': ('pip._vendor.pygments.lexers.markup', 'Groff', ('groff', 'nroff', 'man'), ('*.[1-9]', '*.man', '*.1p', '*.3pm'), ('application/x-troff', 'text/troff')),
+    'GroovyLexer': ('pip._vendor.pygments.lexers.jvm', 'Groovy', ('groovy',), ('*.groovy', '*.gradle'), ('text/x-groovy',)),
+    'HLSLShaderLexer': ('pip._vendor.pygments.lexers.graphics', 'HLSL', ('hlsl',), ('*.hlsl', '*.hlsli'), ('text/x-hlsl',)),
+    'HTMLUL4Lexer': ('pip._vendor.pygments.lexers.ul4', 'HTML+UL4', ('html+ul4',), ('*.htmlul4',), ()),
+    'HamlLexer': ('pip._vendor.pygments.lexers.html', 'Haml', ('haml',), ('*.haml',), ('text/x-haml',)),
+    'HandlebarsHtmlLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+Handlebars', ('html+handlebars',), ('*.handlebars', '*.hbs'), ('text/html+handlebars', 'text/x-handlebars-template')),
+    'HandlebarsLexer': ('pip._vendor.pygments.lexers.templates', 'Handlebars', ('handlebars',), (), ()),
+    'HareLexer': ('pip._vendor.pygments.lexers.hare', 'Hare', ('hare',), ('*.ha',), ('text/x-hare',)),
+    'HaskellLexer': ('pip._vendor.pygments.lexers.haskell', 'Haskell', ('haskell', 'hs'), ('*.hs',), ('text/x-haskell',)),
+    'HaxeLexer': ('pip._vendor.pygments.lexers.haxe', 'Haxe', ('haxe', 'hxsl', 'hx'), ('*.hx', '*.hxsl'), ('text/haxe', 'text/x-haxe', 'text/x-hx')),
+    'HexdumpLexer': ('pip._vendor.pygments.lexers.hexdump', 'Hexdump', ('hexdump',), (), ()),
+    'HsailLexer': ('pip._vendor.pygments.lexers.asm', 'HSAIL', ('hsail', 'hsa'), ('*.hsail',), ('text/x-hsail',)),
+    'HspecLexer': ('pip._vendor.pygments.lexers.haskell', 'Hspec', ('hspec',), ('*Spec.hs',), ()),
+    'HtmlDjangoLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+Django/Jinja', ('html+django', 'html+jinja', 'htmldjango'), ('*.html.j2', '*.htm.j2', '*.xhtml.j2', '*.html.jinja2', '*.htm.jinja2', '*.xhtml.jinja2'), ('text/html+django', 'text/html+jinja')),
+    'HtmlGenshiLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+Genshi', ('html+genshi', 'html+kid'), (), ('text/html+genshi',)),
+    'HtmlLexer': ('pip._vendor.pygments.lexers.html', 'HTML', ('html',), ('*.html', '*.htm', '*.xhtml', '*.xslt'), ('text/html', 'application/xhtml+xml')),
+    'HtmlPhpLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+PHP', ('html+php',), ('*.phtml',), ('application/x-php', 'application/x-httpd-php', 'application/x-httpd-php3', 'application/x-httpd-php4', 'application/x-httpd-php5')),
+    'HtmlSmartyLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+Smarty', ('html+smarty',), (), ('text/html+smarty',)),
+    'HttpLexer': ('pip._vendor.pygments.lexers.textfmts', 'HTTP', ('http',), (), ()),
+    'HxmlLexer': ('pip._vendor.pygments.lexers.haxe', 'Hxml', ('haxeml', 'hxml'), ('*.hxml',), ()),
+    'HyLexer': ('pip._vendor.pygments.lexers.lisp', 'Hy', ('hylang', 'hy'), ('*.hy',), ('text/x-hy', 'application/x-hy')),
+    'HybrisLexer': ('pip._vendor.pygments.lexers.scripting', 'Hybris', ('hybris',), ('*.hyb',), ('text/x-hybris', 'application/x-hybris')),
+    'IDLLexer': ('pip._vendor.pygments.lexers.idl', 'IDL', ('idl',), ('*.pro',), ('text/idl',)),
+    'IconLexer': ('pip._vendor.pygments.lexers.unicon', 'Icon', ('icon',), ('*.icon', '*.ICON'), ()),
+    'IdrisLexer': ('pip._vendor.pygments.lexers.haskell', 'Idris', ('idris', 'idr'), ('*.idr',), ('text/x-idris',)),
+    'IgorLexer': ('pip._vendor.pygments.lexers.igor', 'Igor', ('igor', 'igorpro'), ('*.ipf',), ('text/ipf',)),
+    'Inform6Lexer': ('pip._vendor.pygments.lexers.int_fiction', 'Inform 6', ('inform6', 'i6'), ('*.inf',), ()),
+    'Inform6TemplateLexer': ('pip._vendor.pygments.lexers.int_fiction', 'Inform 6 template', ('i6t',), ('*.i6t',), ()),
+    'Inform7Lexer': ('pip._vendor.pygments.lexers.int_fiction', 'Inform 7', ('inform7', 'i7'), ('*.ni', '*.i7x'), ()),
+    'IniLexer': ('pip._vendor.pygments.lexers.configs', 'INI', ('ini', 'cfg', 'dosini'), ('*.ini', '*.cfg', '*.inf', '.editorconfig'), ('text/x-ini', 'text/inf')),
+    'IoLexer': ('pip._vendor.pygments.lexers.iolang', 'Io', ('io',), ('*.io',), ('text/x-iosrc',)),
+    'IokeLexer': ('pip._vendor.pygments.lexers.jvm', 'Ioke', ('ioke', 'ik'), ('*.ik',), ('text/x-iokesrc',)),
+    'IrcLogsLexer': ('pip._vendor.pygments.lexers.textfmts', 'IRC logs', ('irc',), ('*.weechatlog',), ('text/x-irclog',)),
+    'IsabelleLexer': ('pip._vendor.pygments.lexers.theorem', 'Isabelle', ('isabelle',), ('*.thy',), ('text/x-isabelle',)),
+    'JLexer': ('pip._vendor.pygments.lexers.j', 'J', ('j',), ('*.ijs',), ('text/x-j',)),
+    'JMESPathLexer': ('pip._vendor.pygments.lexers.jmespath', 'JMESPath', ('jmespath', 'jp'), ('*.jp',), ()),
+    'JSLTLexer': ('pip._vendor.pygments.lexers.jslt', 'JSLT', ('jslt',), ('*.jslt',), ('text/x-jslt',)),
+    'JagsLexer': ('pip._vendor.pygments.lexers.modeling', 'JAGS', ('jags',), ('*.jag', '*.bug'), ()),
+    'JanetLexer': ('pip._vendor.pygments.lexers.lisp', 'Janet', ('janet',), ('*.janet', '*.jdn'), ('text/x-janet', 'application/x-janet')),
+    'JasminLexer': ('pip._vendor.pygments.lexers.jvm', 'Jasmin', ('jasmin', 'jasminxt'), ('*.j',), ()),
+    'JavaLexer': ('pip._vendor.pygments.lexers.jvm', 'Java', ('java',), ('*.java',), ('text/x-java',)),
+    'JavascriptDjangoLexer': ('pip._vendor.pygments.lexers.templates', 'JavaScript+Django/Jinja', ('javascript+django', 'js+django', 'javascript+jinja', 'js+jinja'), ('*.js.j2', '*.js.jinja2'), ('application/x-javascript+django', 'application/x-javascript+jinja', 'text/x-javascript+django', 'text/x-javascript+jinja', 'text/javascript+django', 'text/javascript+jinja')),
+    'JavascriptErbLexer': ('pip._vendor.pygments.lexers.templates', 'JavaScript+Ruby', ('javascript+ruby', 'js+ruby', 'javascript+erb', 'js+erb'), (), ('application/x-javascript+ruby', 'text/x-javascript+ruby', 'text/javascript+ruby')),
+    'JavascriptGenshiLexer': ('pip._vendor.pygments.lexers.templates', 'JavaScript+Genshi Text', ('js+genshitext', 'js+genshi', 'javascript+genshitext', 'javascript+genshi'), (), ('application/x-javascript+genshi', 'text/x-javascript+genshi', 'text/javascript+genshi')),
+    'JavascriptLexer': ('pip._vendor.pygments.lexers.javascript', 'JavaScript', ('javascript', 'js'), ('*.js', '*.jsm', '*.mjs', '*.cjs'), ('application/javascript', 'application/x-javascript', 'text/x-javascript', 'text/javascript')),
+    'JavascriptPhpLexer': ('pip._vendor.pygments.lexers.templates', 'JavaScript+PHP', ('javascript+php', 'js+php'), (), ('application/x-javascript+php', 'text/x-javascript+php', 'text/javascript+php')),
+    'JavascriptSmartyLexer': ('pip._vendor.pygments.lexers.templates', 'JavaScript+Smarty', ('javascript+smarty', 'js+smarty'), (), ('application/x-javascript+smarty', 'text/x-javascript+smarty', 'text/javascript+smarty')),
+    'JavascriptUL4Lexer': ('pip._vendor.pygments.lexers.ul4', 'Javascript+UL4', ('js+ul4',), ('*.jsul4',), ()),
+    'JclLexer': ('pip._vendor.pygments.lexers.scripting', 'JCL', ('jcl',), ('*.jcl',), ('text/x-jcl',)),
+    'JsgfLexer': ('pip._vendor.pygments.lexers.grammar_notation', 'JSGF', ('jsgf',), ('*.jsgf',), ('application/jsgf', 'application/x-jsgf', 'text/jsgf')),
+    'Json5Lexer': ('pip._vendor.pygments.lexers.json5', 'JSON5', ('json5',), ('*.json5',), ()),
+    'JsonBareObjectLexer': ('pip._vendor.pygments.lexers.data', 'JSONBareObject', (), (), ()),
+    'JsonLdLexer': ('pip._vendor.pygments.lexers.data', 'JSON-LD', ('jsonld', 'json-ld'), ('*.jsonld',), ('application/ld+json',)),
+    'JsonLexer': ('pip._vendor.pygments.lexers.data', 'JSON', ('json', 'json-object'), ('*.json', '*.jsonl', '*.ndjson', 'Pipfile.lock', '*.module', '*.xc'), ('application/json', 'application/json-object', 'application/x-ndjson', 'application/jsonl', 'application/json-seq')),
+    'JsonnetLexer': ('pip._vendor.pygments.lexers.jsonnet', 'Jsonnet', ('jsonnet',), ('*.jsonnet', '*.libsonnet'), ()),
+    'JspLexer': ('pip._vendor.pygments.lexers.templates', 'Java Server Page', ('jsp',), ('*.jsp',), ('application/x-jsp',)),
+    'JsxLexer': ('pip._vendor.pygments.lexers.jsx', 'JSX', ('jsx', 'react'), ('*.jsx', '*.react'), ('text/jsx', 'text/typescript-jsx')),
+    'JuliaConsoleLexer': ('pip._vendor.pygments.lexers.julia', 'Julia console', ('jlcon', 'julia-repl'), (), ()),
+    'JuliaLexer': ('pip._vendor.pygments.lexers.julia', 'Julia', ('julia', 'jl'), ('*.jl',), ('text/x-julia', 'application/x-julia')),
+    'JuttleLexer': ('pip._vendor.pygments.lexers.javascript', 'Juttle', ('juttle',), ('*.juttle',), ('application/juttle', 'application/x-juttle', 'text/x-juttle', 'text/juttle')),
+    'KLexer': ('pip._vendor.pygments.lexers.q', 'K', ('k',), ('*.k',), ()),
+    'KalLexer': ('pip._vendor.pygments.lexers.javascript', 'Kal', ('kal',), ('*.kal',), ('text/kal', 'application/kal')),
+    'KconfigLexer': ('pip._vendor.pygments.lexers.configs', 'Kconfig', ('kconfig', 'menuconfig', 'linux-config', 'kernel-config'), ('Kconfig*', '*Config.in*', 'external.in*', 'standard-modules.in'), ('text/x-kconfig',)),
+    'KernelLogLexer': ('pip._vendor.pygments.lexers.textfmts', 'Kernel log', ('kmsg', 'dmesg'), ('*.kmsg', '*.dmesg'), ()),
+    'KokaLexer': ('pip._vendor.pygments.lexers.haskell', 'Koka', ('koka',), ('*.kk', '*.kki'), ('text/x-koka',)),
+    'KotlinLexer': ('pip._vendor.pygments.lexers.jvm', 'Kotlin', ('kotlin',), ('*.kt', '*.kts'), ('text/x-kotlin',)),
+    'KuinLexer': ('pip._vendor.pygments.lexers.kuin', 'Kuin', ('kuin',), ('*.kn',), ()),
+    'KustoLexer': ('pip._vendor.pygments.lexers.kusto', 'Kusto', ('kql', 'kusto'), ('*.kql', '*.kusto', '.csl'), ()),
+    'LSLLexer': ('pip._vendor.pygments.lexers.scripting', 'LSL', ('lsl',), ('*.lsl',), ('text/x-lsl',)),
+    'LassoCssLexer': ('pip._vendor.pygments.lexers.templates', 'CSS+Lasso', ('css+lasso',), (), ('text/css+lasso',)),
+    'LassoHtmlLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+Lasso', ('html+lasso',), (), ('text/html+lasso', 'application/x-httpd-lasso', 'application/x-httpd-lasso[89]')),
+    'LassoJavascriptLexer': ('pip._vendor.pygments.lexers.templates', 'JavaScript+Lasso', ('javascript+lasso', 'js+lasso'), (), ('application/x-javascript+lasso', 'text/x-javascript+lasso', 'text/javascript+lasso')),
+    'LassoLexer': ('pip._vendor.pygments.lexers.javascript', 'Lasso', ('lasso', 'lassoscript'), ('*.lasso', '*.lasso[89]'), ('text/x-lasso',)),
+    'LassoXmlLexer': ('pip._vendor.pygments.lexers.templates', 'XML+Lasso', ('xml+lasso',), (), ('application/xml+lasso',)),
+    'LdaprcLexer': ('pip._vendor.pygments.lexers.ldap', 'LDAP configuration file', ('ldapconf', 'ldaprc'), ('.ldaprc', 'ldaprc', 'ldap.conf'), ('text/x-ldapconf',)),
+    'LdifLexer': ('pip._vendor.pygments.lexers.ldap', 'LDIF', ('ldif',), ('*.ldif',), ('text/x-ldif',)),
+    'Lean3Lexer': ('pip._vendor.pygments.lexers.lean', 'Lean', ('lean', 'lean3'), ('*.lean',), ('text/x-lean', 'text/x-lean3')),
+    'Lean4Lexer': ('pip._vendor.pygments.lexers.lean', 'Lean4', ('lean4',), ('*.lean',), ('text/x-lean4',)),
+    'LessCssLexer': ('pip._vendor.pygments.lexers.css', 'LessCss', ('less',), ('*.less',), ('text/x-less-css',)),
+    'LighttpdConfLexer': ('pip._vendor.pygments.lexers.configs', 'Lighttpd configuration file', ('lighttpd', 'lighty'), ('lighttpd.conf',), ('text/x-lighttpd-conf',)),
+    'LilyPondLexer': ('pip._vendor.pygments.lexers.lilypond', 'LilyPond', ('lilypond',), ('*.ly',), ()),
+    'LimboLexer': ('pip._vendor.pygments.lexers.inferno', 'Limbo', ('limbo',), ('*.b',), ('text/limbo',)),
+    'LiquidLexer': ('pip._vendor.pygments.lexers.templates', 'liquid', ('liquid',), ('*.liquid',), ()),
+    'LiterateAgdaLexer': ('pip._vendor.pygments.lexers.haskell', 'Literate Agda', ('literate-agda', 'lagda'), ('*.lagda',), ('text/x-literate-agda',)),
+    'LiterateCryptolLexer': ('pip._vendor.pygments.lexers.haskell', 'Literate Cryptol', ('literate-cryptol', 'lcryptol', 'lcry'), ('*.lcry',), ('text/x-literate-cryptol',)),
+    'LiterateHaskellLexer': ('pip._vendor.pygments.lexers.haskell', 'Literate Haskell', ('literate-haskell', 'lhaskell', 'lhs'), ('*.lhs',), ('text/x-literate-haskell',)),
+    'LiterateIdrisLexer': ('pip._vendor.pygments.lexers.haskell', 'Literate Idris', ('literate-idris', 'lidris', 'lidr'), ('*.lidr',), ('text/x-literate-idris',)),
+    'LiveScriptLexer': ('pip._vendor.pygments.lexers.javascript', 'LiveScript', ('livescript', 'live-script'), ('*.ls',), ('text/livescript',)),
+    'LlvmLexer': ('pip._vendor.pygments.lexers.asm', 'LLVM', ('llvm',), ('*.ll',), ('text/x-llvm',)),
+    'LlvmMirBodyLexer': ('pip._vendor.pygments.lexers.asm', 'LLVM-MIR Body', ('llvm-mir-body',), (), ()),
+    'LlvmMirLexer': ('pip._vendor.pygments.lexers.asm', 'LLVM-MIR', ('llvm-mir',), ('*.mir',), ()),
+    'LogosLexer': ('pip._vendor.pygments.lexers.objective', 'Logos', ('logos',), ('*.x', '*.xi', '*.xm', '*.xmi'), ('text/x-logos',)),
+    'LogtalkLexer': ('pip._vendor.pygments.lexers.prolog', 'Logtalk', ('logtalk',), ('*.lgt', '*.logtalk'), ('text/x-logtalk',)),
+    'LuaLexer': ('pip._vendor.pygments.lexers.scripting', 'Lua', ('lua',), ('*.lua', '*.wlua'), ('text/x-lua', 'application/x-lua')),
+    'LuauLexer': ('pip._vendor.pygments.lexers.scripting', 'Luau', ('luau',), ('*.luau',), ()),
+    'MCFunctionLexer': ('pip._vendor.pygments.lexers.minecraft', 'MCFunction', ('mcfunction', 'mcf'), ('*.mcfunction',), ('text/mcfunction',)),
+    'MCSchemaLexer': ('pip._vendor.pygments.lexers.minecraft', 'MCSchema', ('mcschema',), ('*.mcschema',), ('text/mcschema',)),
+    'MIMELexer': ('pip._vendor.pygments.lexers.mime', 'MIME', ('mime',), (), ('multipart/mixed', 'multipart/related', 'multipart/alternative')),
+    'MIPSLexer': ('pip._vendor.pygments.lexers.mips', 'MIPS', ('mips',), ('*.mips', '*.MIPS'), ()),
+    'MOOCodeLexer': ('pip._vendor.pygments.lexers.scripting', 'MOOCode', ('moocode', 'moo'), ('*.moo',), ('text/x-moocode',)),
+    'MSDOSSessionLexer': ('pip._vendor.pygments.lexers.shell', 'MSDOS Session', ('doscon',), (), ()),
+    'Macaulay2Lexer': ('pip._vendor.pygments.lexers.macaulay2', 'Macaulay2', ('macaulay2',), ('*.m2',), ()),
+    'MakefileLexer': ('pip._vendor.pygments.lexers.make', 'Makefile', ('make', 'makefile', 'mf', 'bsdmake'), ('*.mak', '*.mk', 'Makefile', 'makefile', 'Makefile.*', 'GNUmakefile'), ('text/x-makefile',)),
+    'MakoCssLexer': ('pip._vendor.pygments.lexers.templates', 'CSS+Mako', ('css+mako',), (), ('text/css+mako',)),
+    'MakoHtmlLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+Mako', ('html+mako',), (), ('text/html+mako',)),
+    'MakoJavascriptLexer': ('pip._vendor.pygments.lexers.templates', 'JavaScript+Mako', ('javascript+mako', 'js+mako'), (), ('application/x-javascript+mako', 'text/x-javascript+mako', 'text/javascript+mako')),
+    'MakoLexer': ('pip._vendor.pygments.lexers.templates', 'Mako', ('mako',), ('*.mao',), ('application/x-mako',)),
+    'MakoXmlLexer': ('pip._vendor.pygments.lexers.templates', 'XML+Mako', ('xml+mako',), (), ('application/xml+mako',)),
+    'MapleLexer': ('pip._vendor.pygments.lexers.maple', 'Maple', ('maple',), ('*.mpl', '*.mi', '*.mm'), ('text/x-maple',)),
+    'MaqlLexer': ('pip._vendor.pygments.lexers.business', 'MAQL', ('maql',), ('*.maql',), ('text/x-gooddata-maql', 'application/x-gooddata-maql')),
+    'MarkdownLexer': ('pip._vendor.pygments.lexers.markup', 'Markdown', ('markdown', 'md'), ('*.md', '*.markdown'), ('text/x-markdown',)),
+    'MaskLexer': ('pip._vendor.pygments.lexers.javascript', 'Mask', ('mask',), ('*.mask',), ('text/x-mask',)),
+    'MasonLexer': ('pip._vendor.pygments.lexers.templates', 'Mason', ('mason',), ('*.m', '*.mhtml', '*.mc', '*.mi', 'autohandler', 'dhandler'), ('application/x-mason',)),
+    'MathematicaLexer': ('pip._vendor.pygments.lexers.algebra', 'Mathematica', ('mathematica', 'mma', 'nb', 'wl', 'wolfram'), ('*.nb', '*.cdf', '*.nbp', '*.ma', '*.wl', '*.wls'), ('application/mathematica', 'application/vnd.wolfram.mathematica', 'application/vnd.wolfram.mathematica.package', 'application/vnd.wolfram.cdf', 'application/vnd.wolfram.wl')),
+    'MatlabLexer': ('pip._vendor.pygments.lexers.matlab', 'Matlab', ('matlab',), ('*.m',), ('text/matlab',)),
+    'MatlabSessionLexer': ('pip._vendor.pygments.lexers.matlab', 'Matlab session', ('matlabsession',), (), ()),
+    'MaximaLexer': ('pip._vendor.pygments.lexers.maxima', 'Maxima', ('maxima', 'macsyma'), ('*.mac', '*.max'), ()),
+    'MesonLexer': ('pip._vendor.pygments.lexers.meson', 'Meson', ('meson', 'meson.build'), ('meson.build', 'meson.options', 'meson_options.txt'), ('text/x-meson',)),
+    'MiniDLexer': ('pip._vendor.pygments.lexers.d', 'MiniD', ('minid',), (), ('text/x-minidsrc',)),
+    'MiniScriptLexer': ('pip._vendor.pygments.lexers.scripting', 'MiniScript', ('miniscript', 'ms'), ('*.ms',), ('text/x-minicript', 'application/x-miniscript')),
+    'ModelicaLexer': ('pip._vendor.pygments.lexers.modeling', 'Modelica', ('modelica',), ('*.mo',), ('text/x-modelica',)),
+    'Modula2Lexer': ('pip._vendor.pygments.lexers.modula2', 'Modula-2', ('modula2', 'm2'), ('*.def', '*.mod'), ('text/x-modula2',)),
+    'MoinWikiLexer': ('pip._vendor.pygments.lexers.markup', 'MoinMoin/Trac Wiki markup', ('trac-wiki', 'moin'), (), ('text/x-trac-wiki',)),
+    'MojoLexer': ('pip._vendor.pygments.lexers.mojo', 'Mojo', ('mojo', '🔥'), ('*.mojo', '*.🔥'), ('text/x-mojo', 'application/x-mojo')),
+    'MonkeyLexer': ('pip._vendor.pygments.lexers.basic', 'Monkey', ('monkey',), ('*.monkey',), ('text/x-monkey',)),
+    'MonteLexer': ('pip._vendor.pygments.lexers.monte', 'Monte', ('monte',), ('*.mt',), ()),
+    'MoonScriptLexer': ('pip._vendor.pygments.lexers.scripting', 'MoonScript', ('moonscript', 'moon'), ('*.moon',), ('text/x-moonscript', 'application/x-moonscript')),
+    'MoselLexer': ('pip._vendor.pygments.lexers.mosel', 'Mosel', ('mosel',), ('*.mos',), ()),
+    'MozPreprocCssLexer': ('pip._vendor.pygments.lexers.markup', 'CSS+mozpreproc', ('css+mozpreproc',), ('*.css.in',), ()),
+    'MozPreprocHashLexer': ('pip._vendor.pygments.lexers.markup', 'mozhashpreproc', ('mozhashpreproc',), (), ()),
+    'MozPreprocJavascriptLexer': ('pip._vendor.pygments.lexers.markup', 'Javascript+mozpreproc', ('javascript+mozpreproc',), ('*.js.in',), ()),
+    'MozPreprocPercentLexer': ('pip._vendor.pygments.lexers.markup', 'mozpercentpreproc', ('mozpercentpreproc',), (), ()),
+    'MozPreprocXulLexer': ('pip._vendor.pygments.lexers.markup', 'XUL+mozpreproc', ('xul+mozpreproc',), ('*.xul.in',), ()),
+    'MqlLexer': ('pip._vendor.pygments.lexers.c_like', 'MQL', ('mql', 'mq4', 'mq5', 'mql4', 'mql5'), ('*.mq4', '*.mq5', '*.mqh'), ('text/x-mql',)),
+    'MscgenLexer': ('pip._vendor.pygments.lexers.dsls', 'Mscgen', ('mscgen', 'msc'), ('*.msc',), ()),
+    'MuPADLexer': ('pip._vendor.pygments.lexers.algebra', 'MuPAD', ('mupad',), ('*.mu',), ()),
+    'MxmlLexer': ('pip._vendor.pygments.lexers.actionscript', 'MXML', ('mxml',), ('*.mxml',), ()),
+    'MySqlLexer': ('pip._vendor.pygments.lexers.sql', 'MySQL', ('mysql',), (), ('text/x-mysql',)),
+    'MyghtyCssLexer': ('pip._vendor.pygments.lexers.templates', 'CSS+Myghty', ('css+myghty',), (), ('text/css+myghty',)),
+    'MyghtyHtmlLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+Myghty', ('html+myghty',), (), ('text/html+myghty',)),
+    'MyghtyJavascriptLexer': ('pip._vendor.pygments.lexers.templates', 'JavaScript+Myghty', ('javascript+myghty', 'js+myghty'), (), ('application/x-javascript+myghty', 'text/x-javascript+myghty', 'text/javascript+mygthy')),
+    'MyghtyLexer': ('pip._vendor.pygments.lexers.templates', 'Myghty', ('myghty',), ('*.myt', 'autodelegate'), ('application/x-myghty',)),
+    'MyghtyXmlLexer': ('pip._vendor.pygments.lexers.templates', 'XML+Myghty', ('xml+myghty',), (), ('application/xml+myghty',)),
+    'NCLLexer': ('pip._vendor.pygments.lexers.ncl', 'NCL', ('ncl',), ('*.ncl',), ('text/ncl',)),
+    'NSISLexer': ('pip._vendor.pygments.lexers.installers', 'NSIS', ('nsis', 'nsi', 'nsh'), ('*.nsi', '*.nsh'), ('text/x-nsis',)),
+    'NasmLexer': ('pip._vendor.pygments.lexers.asm', 'NASM', ('nasm',), ('*.asm', '*.ASM', '*.nasm'), ('text/x-nasm',)),
+    'NasmObjdumpLexer': ('pip._vendor.pygments.lexers.asm', 'objdump-nasm', ('objdump-nasm',), ('*.objdump-intel',), ('text/x-nasm-objdump',)),
+    'NemerleLexer': ('pip._vendor.pygments.lexers.dotnet', 'Nemerle', ('nemerle',), ('*.n',), ('text/x-nemerle',)),
+    'NesCLexer': ('pip._vendor.pygments.lexers.c_like', 'nesC', ('nesc',), ('*.nc',), ('text/x-nescsrc',)),
+    'NestedTextLexer': ('pip._vendor.pygments.lexers.configs', 'NestedText', ('nestedtext', 'nt'), ('*.nt',), ()),
+    'NewLispLexer': ('pip._vendor.pygments.lexers.lisp', 'NewLisp', ('newlisp',), ('*.lsp', '*.nl', '*.kif'), ('text/x-newlisp', 'application/x-newlisp')),
+    'NewspeakLexer': ('pip._vendor.pygments.lexers.smalltalk', 'Newspeak', ('newspeak',), ('*.ns2',), ('text/x-newspeak',)),
+    'NginxConfLexer': ('pip._vendor.pygments.lexers.configs', 'Nginx configuration file', ('nginx',), ('nginx.conf',), ('text/x-nginx-conf',)),
+    'NimrodLexer': ('pip._vendor.pygments.lexers.nimrod', 'Nimrod', ('nimrod', 'nim'), ('*.nim', '*.nimrod'), ('text/x-nim',)),
+    'NitLexer': ('pip._vendor.pygments.lexers.nit', 'Nit', ('nit',), ('*.nit',), ()),
+    'NixLexer': ('pip._vendor.pygments.lexers.nix', 'Nix', ('nixos', 'nix'), ('*.nix',), ('text/x-nix',)),
+    'NodeConsoleLexer': ('pip._vendor.pygments.lexers.javascript', 'Node.js REPL console session', ('nodejsrepl',), (), ('text/x-nodejsrepl',)),
+    'NotmuchLexer': ('pip._vendor.pygments.lexers.textfmts', 'Notmuch', ('notmuch',), (), ()),
+    'NuSMVLexer': ('pip._vendor.pygments.lexers.smv', 'NuSMV', ('nusmv',), ('*.smv',), ()),
+    'NumPyLexer': ('pip._vendor.pygments.lexers.python', 'NumPy', ('numpy',), (), ()),
+    'NumbaIRLexer': ('pip._vendor.pygments.lexers.numbair', 'Numba_IR', ('numba_ir', 'numbair'), ('*.numba_ir',), ('text/x-numba_ir', 'text/x-numbair')),
+    'ObjdumpLexer': ('pip._vendor.pygments.lexers.asm', 'objdump', ('objdump',), ('*.objdump',), ('text/x-objdump',)),
+    'ObjectiveCLexer': ('pip._vendor.pygments.lexers.objective', 'Objective-C', ('objective-c', 'objectivec', 'obj-c', 'objc'), ('*.m', '*.h'), ('text/x-objective-c',)),
+    'ObjectiveCppLexer': ('pip._vendor.pygments.lexers.objective', 'Objective-C++', ('objective-c++', 'objectivec++', 'obj-c++', 'objc++'), ('*.mm', '*.hh'), ('text/x-objective-c++',)),
+    'ObjectiveJLexer': ('pip._vendor.pygments.lexers.javascript', 'Objective-J', ('objective-j', 'objectivej', 'obj-j', 'objj'), ('*.j',), ('text/x-objective-j',)),
+    'OcamlLexer': ('pip._vendor.pygments.lexers.ml', 'OCaml', ('ocaml',), ('*.ml', '*.mli', '*.mll', '*.mly'), ('text/x-ocaml',)),
+    'OctaveLexer': ('pip._vendor.pygments.lexers.matlab', 'Octave', ('octave',), ('*.m',), ('text/octave',)),
+    'OdinLexer': ('pip._vendor.pygments.lexers.archetype', 'ODIN', ('odin',), ('*.odin',), ('text/odin',)),
+    'OmgIdlLexer': ('pip._vendor.pygments.lexers.c_like', 'OMG Interface Definition Language', ('omg-idl',), ('*.idl', '*.pidl'), ()),
+    'OocLexer': ('pip._vendor.pygments.lexers.ooc', 'Ooc', ('ooc',), ('*.ooc',), ('text/x-ooc',)),
+    'OpaLexer': ('pip._vendor.pygments.lexers.ml', 'Opa', ('opa',), ('*.opa',), ('text/x-opa',)),
+    'OpenEdgeLexer': ('pip._vendor.pygments.lexers.business', 'OpenEdge ABL', ('openedge', 'abl', 'progress'), ('*.p', '*.cls'), ('text/x-openedge', 'application/x-openedge')),
+    'OpenScadLexer': ('pip._vendor.pygments.lexers.openscad', 'OpenSCAD', ('openscad',), ('*.scad',), ('application/x-openscad',)),
+    'OrgLexer': ('pip._vendor.pygments.lexers.markup', 'Org Mode', ('org', 'orgmode', 'org-mode'), ('*.org',), ('text/org',)),
+    'OutputLexer': ('pip._vendor.pygments.lexers.special', 'Text output', ('output',), (), ()),
+    'PacmanConfLexer': ('pip._vendor.pygments.lexers.configs', 'PacmanConf', ('pacmanconf',), ('pacman.conf',), ()),
+    'PanLexer': ('pip._vendor.pygments.lexers.dsls', 'Pan', ('pan',), ('*.pan',), ()),
+    'ParaSailLexer': ('pip._vendor.pygments.lexers.parasail', 'ParaSail', ('parasail',), ('*.psi', '*.psl'), ('text/x-parasail',)),
+    'PawnLexer': ('pip._vendor.pygments.lexers.pawn', 'Pawn', ('pawn',), ('*.p', '*.pwn', '*.inc'), ('text/x-pawn',)),
+    'PddlLexer': ('pip._vendor.pygments.lexers.pddl', 'PDDL', ('pddl',), ('*.pddl',), ()),
+    'PegLexer': ('pip._vendor.pygments.lexers.grammar_notation', 'PEG', ('peg',), ('*.peg',), ('text/x-peg',)),
+    'Perl6Lexer': ('pip._vendor.pygments.lexers.perl', 'Perl6', ('perl6', 'pl6', 'raku'), ('*.pl', '*.pm', '*.nqp', '*.p6', '*.6pl', '*.p6l', '*.pl6', '*.6pm', '*.p6m', '*.pm6', '*.t', '*.raku', '*.rakumod', '*.rakutest', '*.rakudoc'), ('text/x-perl6', 'application/x-perl6')),
+    'PerlLexer': ('pip._vendor.pygments.lexers.perl', 'Perl', ('perl', 'pl'), ('*.pl', '*.pm', '*.t', '*.perl'), ('text/x-perl', 'application/x-perl')),
+    'PhixLexer': ('pip._vendor.pygments.lexers.phix', 'Phix', ('phix',), ('*.exw',), ('text/x-phix',)),
+    'PhpLexer': ('pip._vendor.pygments.lexers.php', 'PHP', ('php', 'php3', 'php4', 'php5'), ('*.php', '*.php[345]', '*.inc'), ('text/x-php',)),
+    'PigLexer': ('pip._vendor.pygments.lexers.jvm', 'Pig', ('pig',), ('*.pig',), ('text/x-pig',)),
+    'PikeLexer': ('pip._vendor.pygments.lexers.c_like', 'Pike', ('pike',), ('*.pike', '*.pmod'), ('text/x-pike',)),
+    'PkgConfigLexer': ('pip._vendor.pygments.lexers.configs', 'PkgConfig', ('pkgconfig',), ('*.pc',), ()),
+    'PlPgsqlLexer': ('pip._vendor.pygments.lexers.sql', 'PL/pgSQL', ('plpgsql',), (), ('text/x-plpgsql',)),
+    'PointlessLexer': ('pip._vendor.pygments.lexers.pointless', 'Pointless', ('pointless',), ('*.ptls',), ()),
+    'PonyLexer': ('pip._vendor.pygments.lexers.pony', 'Pony', ('pony',), ('*.pony',), ()),
+    'PortugolLexer': ('pip._vendor.pygments.lexers.pascal', 'Portugol', ('portugol',), ('*.alg', '*.portugol'), ()),
+    'PostScriptLexer': ('pip._vendor.pygments.lexers.graphics', 'PostScript', ('postscript', 'postscr'), ('*.ps', '*.eps'), ('application/postscript',)),
+    'PostgresConsoleLexer': ('pip._vendor.pygments.lexers.sql', 'PostgreSQL console (psql)', ('psql', 'postgresql-console', 'postgres-console'), (), ('text/x-postgresql-psql',)),
+    'PostgresExplainLexer': ('pip._vendor.pygments.lexers.sql', 'PostgreSQL EXPLAIN dialect', ('postgres-explain',), ('*.explain',), ('text/x-postgresql-explain',)),
+    'PostgresLexer': ('pip._vendor.pygments.lexers.sql', 'PostgreSQL SQL dialect', ('postgresql', 'postgres'), (), ('text/x-postgresql',)),
+    'PovrayLexer': ('pip._vendor.pygments.lexers.graphics', 'POVRay', ('pov',), ('*.pov', '*.inc'), ('text/x-povray',)),
+    'PowerShellLexer': ('pip._vendor.pygments.lexers.shell', 'PowerShell', ('powershell', 'pwsh', 'posh', 'ps1', 'psm1'), ('*.ps1', '*.psm1'), ('text/x-powershell',)),
+    'PowerShellSessionLexer': ('pip._vendor.pygments.lexers.shell', 'PowerShell Session', ('pwsh-session', 'ps1con'), (), ()),
+    'PraatLexer': ('pip._vendor.pygments.lexers.praat', 'Praat', ('praat',), ('*.praat', '*.proc', '*.psc'), ()),
+    'ProcfileLexer': ('pip._vendor.pygments.lexers.procfile', 'Procfile', ('procfile',), ('Procfile',), ()),
+    'PrologLexer': ('pip._vendor.pygments.lexers.prolog', 'Prolog', ('prolog',), ('*.ecl', '*.prolog', '*.pro', '*.pl'), ('text/x-prolog',)),
+    'PromQLLexer': ('pip._vendor.pygments.lexers.promql', 'PromQL', ('promql',), ('*.promql',), ()),
+    'PromelaLexer': ('pip._vendor.pygments.lexers.c_like', 'Promela', ('promela',), ('*.pml', '*.prom', '*.prm', '*.promela', '*.pr', '*.pm'), ('text/x-promela',)),
+    'PropertiesLexer': ('pip._vendor.pygments.lexers.configs', 'Properties', ('properties', 'jproperties'), ('*.properties',), ('text/x-java-properties',)),
+    'ProtoBufLexer': ('pip._vendor.pygments.lexers.dsls', 'Protocol Buffer', ('protobuf', 'proto'), ('*.proto',), ()),
+    'PrqlLexer': ('pip._vendor.pygments.lexers.prql', 'PRQL', ('prql',), ('*.prql',), ('application/prql', 'application/x-prql')),
+    'PsyshConsoleLexer': ('pip._vendor.pygments.lexers.php', 'PsySH console session for PHP', ('psysh',), (), ()),
+    'PtxLexer': ('pip._vendor.pygments.lexers.ptx', 'PTX', ('ptx',), ('*.ptx',), ('text/x-ptx',)),
+    'PugLexer': ('pip._vendor.pygments.lexers.html', 'Pug', ('pug', 'jade'), ('*.pug', '*.jade'), ('text/x-pug', 'text/x-jade')),
+    'PuppetLexer': ('pip._vendor.pygments.lexers.dsls', 'Puppet', ('puppet',), ('*.pp',), ()),
+    'PyPyLogLexer': ('pip._vendor.pygments.lexers.console', 'PyPy Log', ('pypylog', 'pypy'), ('*.pypylog',), ('application/x-pypylog',)),
+    'Python2Lexer': ('pip._vendor.pygments.lexers.python', 'Python 2.x', ('python2', 'py2'), (), ('text/x-python2', 'application/x-python2')),
+    'Python2TracebackLexer': ('pip._vendor.pygments.lexers.python', 'Python 2.x Traceback', ('py2tb',), ('*.py2tb',), ('text/x-python2-traceback',)),
+    'PythonConsoleLexer': ('pip._vendor.pygments.lexers.python', 'Python console session', ('pycon', 'python-console'), (), ('text/x-python-doctest',)),
+    'PythonLexer': ('pip._vendor.pygments.lexers.python', 'Python', ('python', 'py', 'sage', 'python3', 'py3', 'bazel', 'starlark', 'pyi'), ('*.py', '*.pyw', '*.pyi', '*.jy', '*.sage', '*.sc', 'SConstruct', 'SConscript', '*.bzl', 'BUCK', 'BUILD', 'BUILD.bazel', 'WORKSPACE', '*.tac', '*.pye'), ('text/x-python', 'application/x-python', 'text/x-python3', 'application/x-python3')),
+    'PythonTracebackLexer': ('pip._vendor.pygments.lexers.python', 'Python Traceback', ('pytb', 'py3tb'), ('*.pytb', '*.py3tb'), ('text/x-python-traceback', 'text/x-python3-traceback')),
+    'PythonUL4Lexer': ('pip._vendor.pygments.lexers.ul4', 'Python+UL4', ('py+ul4',), ('*.pyul4',), ()),
+    'QBasicLexer': ('pip._vendor.pygments.lexers.basic', 'QBasic', ('qbasic', 'basic'), ('*.BAS', '*.bas'), ('text/basic',)),
+    'QLexer': ('pip._vendor.pygments.lexers.q', 'Q', ('q',), ('*.q',), ()),
+    'QVToLexer': ('pip._vendor.pygments.lexers.qvt', 'QVTO', ('qvto', 'qvt'), ('*.qvto',), ()),
+    'QlikLexer': ('pip._vendor.pygments.lexers.qlik', 'Qlik', ('qlik', 'qlikview', 'qliksense', 'qlikscript'), ('*.qvs', '*.qvw'), ()),
+    'QmlLexer': ('pip._vendor.pygments.lexers.webmisc', 'QML', ('qml', 'qbs'), ('*.qml', '*.qbs'), ('application/x-qml', 'application/x-qt.qbs+qml')),
+    'RConsoleLexer': ('pip._vendor.pygments.lexers.r', 'RConsole', ('rconsole', 'rout'), ('*.Rout',), ()),
+    'RNCCompactLexer': ('pip._vendor.pygments.lexers.rnc', 'Relax-NG Compact', ('rng-compact', 'rnc'), ('*.rnc',), ()),
+    'RPMSpecLexer': ('pip._vendor.pygments.lexers.installers', 'RPMSpec', ('spec',), ('*.spec',), ('text/x-rpm-spec',)),
+    'RacketLexer': ('pip._vendor.pygments.lexers.lisp', 'Racket', ('racket', 'rkt'), ('*.rkt', '*.rktd', '*.rktl'), ('text/x-racket', 'application/x-racket')),
+    'RagelCLexer': ('pip._vendor.pygments.lexers.parsers', 'Ragel in C Host', ('ragel-c',), ('*.rl',), ()),
+    'RagelCppLexer': ('pip._vendor.pygments.lexers.parsers', 'Ragel in CPP Host', ('ragel-cpp',), ('*.rl',), ()),
+    'RagelDLexer': ('pip._vendor.pygments.lexers.parsers', 'Ragel in D Host', ('ragel-d',), ('*.rl',), ()),
+    'RagelEmbeddedLexer': ('pip._vendor.pygments.lexers.parsers', 'Embedded Ragel', ('ragel-em',), ('*.rl',), ()),
+    'RagelJavaLexer': ('pip._vendor.pygments.lexers.parsers', 'Ragel in Java Host', ('ragel-java',), ('*.rl',), ()),
+    'RagelLexer': ('pip._vendor.pygments.lexers.parsers', 'Ragel', ('ragel',), (), ()),
+    'RagelObjectiveCLexer': ('pip._vendor.pygments.lexers.parsers', 'Ragel in Objective C Host', ('ragel-objc',), ('*.rl',), ()),
+    'RagelRubyLexer': ('pip._vendor.pygments.lexers.parsers', 'Ragel in Ruby Host', ('ragel-ruby', 'ragel-rb'), ('*.rl',), ()),
+    'RawTokenLexer': ('pip._vendor.pygments.lexers.special', 'Raw token data', (), (), ('application/x-pygments-tokens',)),
+    'RdLexer': ('pip._vendor.pygments.lexers.r', 'Rd', ('rd',), ('*.Rd',), ('text/x-r-doc',)),
+    'ReasonLexer': ('pip._vendor.pygments.lexers.ml', 'ReasonML', ('reasonml', 'reason'), ('*.re', '*.rei'), ('text/x-reasonml',)),
+    'RebolLexer': ('pip._vendor.pygments.lexers.rebol', 'REBOL', ('rebol',), ('*.r', '*.r3', '*.reb'), ('text/x-rebol',)),
+    'RedLexer': ('pip._vendor.pygments.lexers.rebol', 'Red', ('red', 'red/system'), ('*.red', '*.reds'), ('text/x-red', 'text/x-red-system')),
+    'RedcodeLexer': ('pip._vendor.pygments.lexers.esoteric', 'Redcode', ('redcode',), ('*.cw',), ()),
+    'RegeditLexer': ('pip._vendor.pygments.lexers.configs', 'reg', ('registry',), ('*.reg',), ('text/x-windows-registry',)),
+    'RegoLexer': ('pip._vendor.pygments.lexers.rego', 'Rego', ('rego',), ('*.rego',), ('text/x-rego',)),
+    'RellLexer': ('pip._vendor.pygments.lexers.rell', 'Rell', ('rell',), ('*.rell',), ('text/x-rell',)),
+    'ResourceLexer': ('pip._vendor.pygments.lexers.resource', 'ResourceBundle', ('resourcebundle', 'resource'), (), ()),
+    'RexxLexer': ('pip._vendor.pygments.lexers.scripting', 'Rexx', ('rexx', 'arexx'), ('*.rexx', '*.rex', '*.rx', '*.arexx'), ('text/x-rexx',)),
+    'RhtmlLexer': ('pip._vendor.pygments.lexers.templates', 'RHTML', ('rhtml', 'html+erb', 'html+ruby'), ('*.rhtml',), ('text/html+ruby',)),
+    'RideLexer': ('pip._vendor.pygments.lexers.ride', 'Ride', ('ride',), ('*.ride',), ('text/x-ride',)),
+    'RitaLexer': ('pip._vendor.pygments.lexers.rita', 'Rita', ('rita',), ('*.rita',), ('text/rita',)),
+    'RoboconfGraphLexer': ('pip._vendor.pygments.lexers.roboconf', 'Roboconf Graph', ('roboconf-graph',), ('*.graph',), ()),
+    'RoboconfInstancesLexer': ('pip._vendor.pygments.lexers.roboconf', 'Roboconf Instances', ('roboconf-instances',), ('*.instances',), ()),
+    'RobotFrameworkLexer': ('pip._vendor.pygments.lexers.robotframework', 'RobotFramework', ('robotframework',), ('*.robot', '*.resource'), ('text/x-robotframework',)),
+    'RocqLexer': ('pip._vendor.pygments.lexers.theorem', 'Rocq Prover', ('coq', 'rocq', 'rocq-prover'), ('*.v',), ('text/x-coq', 'text/x-rocq')),
+    'RqlLexer': ('pip._vendor.pygments.lexers.sql', 'RQL', ('rql',), ('*.rql',), ('text/x-rql',)),
+    'RslLexer': ('pip._vendor.pygments.lexers.dsls', 'RSL', ('rsl',), ('*.rsl',), ('text/rsl',)),
+    'RstLexer': ('pip._vendor.pygments.lexers.markup', 'reStructuredText', ('restructuredtext', 'rst', 'rest'), ('*.rst', '*.rest'), ('text/x-rst', 'text/prs.fallenstein.rst')),
+    'RtsLexer': ('pip._vendor.pygments.lexers.trafficscript', 'TrafficScript', ('trafficscript', 'rts'), ('*.rts',), ()),
+    'RubyConsoleLexer': ('pip._vendor.pygments.lexers.ruby', 'Ruby irb session', ('rbcon', 'irb'), (), ('text/x-ruby-shellsession',)),
+    'RubyLexer': ('pip._vendor.pygments.lexers.ruby', 'Ruby', ('ruby', 'rb', 'duby'), ('*.rb', '*.rbw', 'Rakefile', '*.rake', '*.gemspec', '*.rbx', '*.duby', 'Gemfile', 'Vagrantfile'), ('text/x-ruby', 'application/x-ruby')),
+    'RustLexer': ('pip._vendor.pygments.lexers.rust', 'Rust', ('rust', 'rs'), ('*.rs', '*.rs.in'), ('text/rust', 'text/x-rust')),
+    'SASLexer': ('pip._vendor.pygments.lexers.sas', 'SAS', ('sas',), ('*.SAS', '*.sas'), ('text/x-sas', 'text/sas', 'application/x-sas')),
+    'SLexer': ('pip._vendor.pygments.lexers.r', 'S', ('splus', 's', 'r'), ('*.S', '*.R', '.Rhistory', '.Rprofile', '.Renviron'), ('text/S-plus', 'text/S', 'text/x-r-source', 'text/x-r', 'text/x-R', 'text/x-r-history', 'text/x-r-profile')),
+    'SMLLexer': ('pip._vendor.pygments.lexers.ml', 'Standard ML', ('sml',), ('*.sml', '*.sig', '*.fun'), ('text/x-standardml', 'application/x-standardml')),
+    'SNBTLexer': ('pip._vendor.pygments.lexers.minecraft', 'SNBT', ('snbt',), ('*.snbt',), ('text/snbt',)),
+    'SarlLexer': ('pip._vendor.pygments.lexers.jvm', 'SARL', ('sarl',), ('*.sarl',), ('text/x-sarl',)),
+    'SassLexer': ('pip._vendor.pygments.lexers.css', 'Sass', ('sass',), ('*.sass',), ('text/x-sass',)),
+    'SaviLexer': ('pip._vendor.pygments.lexers.savi', 'Savi', ('savi',), ('*.savi',), ()),
+    'ScalaLexer': ('pip._vendor.pygments.lexers.jvm', 'Scala', ('scala',), ('*.scala',), ('text/x-scala',)),
+    'ScamlLexer': ('pip._vendor.pygments.lexers.html', 'Scaml', ('scaml',), ('*.scaml',), ('text/x-scaml',)),
+    'ScdocLexer': ('pip._vendor.pygments.lexers.scdoc', 'scdoc', ('scdoc', 'scd'), ('*.scd', '*.scdoc'), ()),
+    'SchemeLexer': ('pip._vendor.pygments.lexers.lisp', 'Scheme', ('scheme', 'scm'), ('*.scm', '*.ss'), ('text/x-scheme', 'application/x-scheme')),
+    'ScilabLexer': ('pip._vendor.pygments.lexers.matlab', 'Scilab', ('scilab',), ('*.sci', '*.sce', '*.tst'), ('text/scilab',)),
+    'ScssLexer': ('pip._vendor.pygments.lexers.css', 'SCSS', ('scss',), ('*.scss',), ('text/x-scss',)),
+    'SedLexer': ('pip._vendor.pygments.lexers.textedit', 'Sed', ('sed', 'gsed', 'ssed'), ('*.sed', '*.[gs]sed'), ('text/x-sed',)),
+    'ShExCLexer': ('pip._vendor.pygments.lexers.rdf', 'ShExC', ('shexc', 'shex'), ('*.shex',), ('text/shex',)),
+    'ShenLexer': ('pip._vendor.pygments.lexers.lisp', 'Shen', ('shen',), ('*.shen',), ('text/x-shen', 'application/x-shen')),
+    'SieveLexer': ('pip._vendor.pygments.lexers.sieve', 'Sieve', ('sieve',), ('*.siv', '*.sieve'), ()),
+    'SilverLexer': ('pip._vendor.pygments.lexers.verification', 'Silver', ('silver',), ('*.sil', '*.vpr'), ()),
+    'SingularityLexer': ('pip._vendor.pygments.lexers.configs', 'Singularity', ('singularity',), ('*.def', 'Singularity'), ()),
+    'SlashLexer': ('pip._vendor.pygments.lexers.slash', 'Slash', ('slash',), ('*.sla',), ()),
+    'SlimLexer': ('pip._vendor.pygments.lexers.webmisc', 'Slim', ('slim',), ('*.slim',), ('text/x-slim',)),
+    'SlurmBashLexer': ('pip._vendor.pygments.lexers.shell', 'Slurm', ('slurm', 'sbatch'), ('*.sl',), ()),
+    'SmaliLexer': ('pip._vendor.pygments.lexers.dalvik', 'Smali', ('smali',), ('*.smali',), ('text/smali',)),
+    'SmalltalkLexer': ('pip._vendor.pygments.lexers.smalltalk', 'Smalltalk', ('smalltalk', 'squeak', 'st'), ('*.st',), ('text/x-smalltalk',)),
+    'SmartGameFormatLexer': ('pip._vendor.pygments.lexers.sgf', 'SmartGameFormat', ('sgf',), ('*.sgf',), ()),
+    'SmartyLexer': ('pip._vendor.pygments.lexers.templates', 'Smarty', ('smarty',), ('*.tpl',), ('application/x-smarty',)),
+    'SmithyLexer': ('pip._vendor.pygments.lexers.smithy', 'Smithy', ('smithy',), ('*.smithy',), ()),
+    'SnobolLexer': ('pip._vendor.pygments.lexers.snobol', 'Snobol', ('snobol',), ('*.snobol',), ('text/x-snobol',)),
+    'SnowballLexer': ('pip._vendor.pygments.lexers.dsls', 'Snowball', ('snowball',), ('*.sbl',), ()),
+    'SolidityLexer': ('pip._vendor.pygments.lexers.solidity', 'Solidity', ('solidity',), ('*.sol',), ()),
+    'SoongLexer': ('pip._vendor.pygments.lexers.soong', 'Soong', ('androidbp', 'bp', 'soong'), ('Android.bp',), ()),
+    'SophiaLexer': ('pip._vendor.pygments.lexers.sophia', 'Sophia', ('sophia',), ('*.aes',), ()),
+    'SourcePawnLexer': ('pip._vendor.pygments.lexers.pawn', 'SourcePawn', ('sp',), ('*.sp',), ('text/x-sourcepawn',)),
+    'SourcesListLexer': ('pip._vendor.pygments.lexers.installers', 'Debian Sourcelist', ('debsources', 'sourceslist', 'sources.list'), ('sources.list',), ()),
+    'SparqlLexer': ('pip._vendor.pygments.lexers.rdf', 'SPARQL', ('sparql',), ('*.rq', '*.sparql'), ('application/sparql-query',)),
+    'SpiceLexer': ('pip._vendor.pygments.lexers.spice', 'Spice', ('spice', 'spicelang'), ('*.spice',), ('text/x-spice',)),
+    'SqlJinjaLexer': ('pip._vendor.pygments.lexers.templates', 'SQL+Jinja', ('sql+jinja',), ('*.sql', '*.sql.j2', '*.sql.jinja2'), ()),
+    'SqlLexer': ('pip._vendor.pygments.lexers.sql', 'SQL', ('sql',), ('*.sql',), ('text/x-sql',)),
+    'SqliteConsoleLexer': ('pip._vendor.pygments.lexers.sql', 'sqlite3con', ('sqlite3',), ('*.sqlite3-console',), ('text/x-sqlite3-console',)),
+    'SquidConfLexer': ('pip._vendor.pygments.lexers.configs', 'SquidConf', ('squidconf', 'squid.conf', 'squid'), ('squid.conf',), ('text/x-squidconf',)),
+    'SrcinfoLexer': ('pip._vendor.pygments.lexers.srcinfo', 'Srcinfo', ('srcinfo',), ('.SRCINFO',), ()),
+    'SspLexer': ('pip._vendor.pygments.lexers.templates', 'Scalate Server Page', ('ssp',), ('*.ssp',), ('application/x-ssp',)),
+    'StanLexer': ('pip._vendor.pygments.lexers.modeling', 'Stan', ('stan',), ('*.stan',), ()),
+    'StataLexer': ('pip._vendor.pygments.lexers.stata', 'Stata', ('stata', 'do'), ('*.do', '*.ado'), ('text/x-stata', 'text/stata', 'application/x-stata')),
+    'SuperColliderLexer': ('pip._vendor.pygments.lexers.supercollider', 'SuperCollider', ('supercollider', 'sc'), ('*.sc', '*.scd'), ('application/supercollider', 'text/supercollider')),
+    'SwiftLexer': ('pip._vendor.pygments.lexers.objective', 'Swift', ('swift',), ('*.swift',), ('text/x-swift',)),
+    'SwigLexer': ('pip._vendor.pygments.lexers.c_like', 'SWIG', ('swig',), ('*.swg', '*.i'), ('text/swig',)),
+    'SystemVerilogLexer': ('pip._vendor.pygments.lexers.hdl', 'systemverilog', ('systemverilog', 'sv'), ('*.sv', '*.svh'), ('text/x-systemverilog',)),
+    'SystemdLexer': ('pip._vendor.pygments.lexers.configs', 'Systemd', ('systemd',), ('*.service', '*.socket', '*.device', '*.mount', '*.automount', '*.swap', '*.target', '*.path', '*.timer', '*.slice', '*.scope'), ()),
+    'TAPLexer': ('pip._vendor.pygments.lexers.testing', 'TAP', ('tap',), ('*.tap',), ()),
+    'TNTLexer': ('pip._vendor.pygments.lexers.tnt', 'Typographic Number Theory', ('tnt',), ('*.tnt',), ()),
+    'TOMLLexer': ('pip._vendor.pygments.lexers.configs', 'TOML', ('toml',), ('*.toml', 'Pipfile', 'poetry.lock'), ('application/toml',)),
+    'TableGenLexer': ('pip._vendor.pygments.lexers.tablegen', 'TableGen', ('tablegen', 'td'), ('*.td',), ()),
+    'TactLexer': ('pip._vendor.pygments.lexers.tact', 'Tact', ('tact',), ('*.tact',), ()),
+    'Tads3Lexer': ('pip._vendor.pygments.lexers.int_fiction', 'TADS 3', ('tads3',), ('*.t',), ()),
+    'TalLexer': ('pip._vendor.pygments.lexers.tal', 'Tal', ('tal', 'uxntal'), ('*.tal',), ('text/x-uxntal',)),
+    'TasmLexer': ('pip._vendor.pygments.lexers.asm', 'TASM', ('tasm',), ('*.asm', '*.ASM', '*.tasm'), ('text/x-tasm',)),
+    'TclLexer': ('pip._vendor.pygments.lexers.tcl', 'Tcl', ('tcl',), ('*.tcl', '*.rvt'), ('text/x-tcl', 'text/x-script.tcl', 'application/x-tcl')),
+    'TcshLexer': ('pip._vendor.pygments.lexers.shell', 'Tcsh', ('tcsh', 'csh'), ('*.tcsh', '*.csh'), ('application/x-csh',)),
+    'TcshSessionLexer': ('pip._vendor.pygments.lexers.shell', 'Tcsh Session', ('tcshcon',), (), ()),
+    'TeaTemplateLexer': ('pip._vendor.pygments.lexers.templates', 'Tea', ('tea',), ('*.tea',), ('text/x-tea',)),
+    'TealLexer': ('pip._vendor.pygments.lexers.teal', 'teal', ('teal',), ('*.teal',), ()),
+    'TeraTermLexer': ('pip._vendor.pygments.lexers.teraterm', 'Tera Term macro', ('teratermmacro', 'teraterm', 'ttl'), ('*.ttl',), ('text/x-teratermmacro',)),
+    'TermcapLexer': ('pip._vendor.pygments.lexers.configs', 'Termcap', ('termcap',), ('termcap', 'termcap.src'), ()),
+    'TerminfoLexer': ('pip._vendor.pygments.lexers.configs', 'Terminfo', ('terminfo',), ('terminfo', 'terminfo.src'), ()),
+    'TerraformLexer': ('pip._vendor.pygments.lexers.configs', 'Terraform', ('terraform', 'tf', 'hcl'), ('*.tf', '*.hcl'), ('application/x-tf', 'application/x-terraform')),
+    'TexLexer': ('pip._vendor.pygments.lexers.markup', 'TeX', ('tex', 'latex'), ('*.tex', '*.aux', '*.toc'), ('text/x-tex', 'text/x-latex')),
+    'TextLexer': ('pip._vendor.pygments.lexers.special', 'Text only', ('text',), ('*.txt',), ('text/plain',)),
+    'ThingsDBLexer': ('pip._vendor.pygments.lexers.thingsdb', 'ThingsDB', ('ti', 'thingsdb'), ('*.ti',), ()),
+    'ThriftLexer': ('pip._vendor.pygments.lexers.dsls', 'Thrift', ('thrift',), ('*.thrift',), ('application/x-thrift',)),
+    'TiddlyWiki5Lexer': ('pip._vendor.pygments.lexers.markup', 'tiddler', ('tid',), ('*.tid',), ('text/vnd.tiddlywiki',)),
+    'TlbLexer': ('pip._vendor.pygments.lexers.tlb', 'Tl-b', ('tlb',), ('*.tlb',), ()),
+    'TlsLexer': ('pip._vendor.pygments.lexers.tls', 'TLS Presentation Language', ('tls',), (), ()),
+    'TodotxtLexer': ('pip._vendor.pygments.lexers.textfmts', 'Todotxt', ('todotxt',), ('todo.txt', '*.todotxt'), ('text/x-todo',)),
+    'TransactSqlLexer': ('pip._vendor.pygments.lexers.sql', 'Transact-SQL', ('tsql', 't-sql'), ('*.sql',), ('text/x-tsql',)),
+    'TreetopLexer': ('pip._vendor.pygments.lexers.parsers', 'Treetop', ('treetop',), ('*.treetop', '*.tt'), ()),
+    'TsxLexer': ('pip._vendor.pygments.lexers.jsx', 'TSX', ('tsx',), ('*.tsx',), ('text/typescript-tsx',)),
+    'TurtleLexer': ('pip._vendor.pygments.lexers.rdf', 'Turtle', ('turtle',), ('*.ttl',), ('text/turtle', 'application/x-turtle')),
+    'TwigHtmlLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+Twig', ('html+twig',), ('*.twig',), ('text/html+twig',)),
+    'TwigLexer': ('pip._vendor.pygments.lexers.templates', 'Twig', ('twig',), (), ('application/x-twig',)),
+    'TypeScriptLexer': ('pip._vendor.pygments.lexers.javascript', 'TypeScript', ('typescript', 'ts'), ('*.ts',), ('application/x-typescript', 'text/x-typescript')),
+    'TypoScriptCssDataLexer': ('pip._vendor.pygments.lexers.typoscript', 'TypoScriptCssData', ('typoscriptcssdata',), (), ()),
+    'TypoScriptHtmlDataLexer': ('pip._vendor.pygments.lexers.typoscript', 'TypoScriptHtmlData', ('typoscripthtmldata',), (), ()),
+    'TypoScriptLexer': ('pip._vendor.pygments.lexers.typoscript', 'TypoScript', ('typoscript',), ('*.typoscript',), ('text/x-typoscript',)),
+    'TypstLexer': ('pip._vendor.pygments.lexers.typst', 'Typst', ('typst',), ('*.typ',), ('text/x-typst',)),
+    'UL4Lexer': ('pip._vendor.pygments.lexers.ul4', 'UL4', ('ul4',), ('*.ul4',), ()),
+    'UcodeLexer': ('pip._vendor.pygments.lexers.unicon', 'ucode', ('ucode',), ('*.u', '*.u1', '*.u2'), ()),
+    'UniconLexer': ('pip._vendor.pygments.lexers.unicon', 'Unicon', ('unicon',), ('*.icn',), ('text/unicon',)),
+    'UnixConfigLexer': ('pip._vendor.pygments.lexers.configs', 'Unix/Linux config files', ('unixconfig', 'linuxconfig'), (), ()),
+    'UrbiscriptLexer': ('pip._vendor.pygments.lexers.urbi', 'UrbiScript', ('urbiscript',), ('*.u',), ('application/x-urbiscript',)),
+    'UrlEncodedLexer': ('pip._vendor.pygments.lexers.html', 'urlencoded', ('urlencoded',), (), ('application/x-www-form-urlencoded',)),
+    'UsdLexer': ('pip._vendor.pygments.lexers.usd', 'USD', ('usd', 'usda'), ('*.usd', '*.usda'), ()),
+    'VBScriptLexer': ('pip._vendor.pygments.lexers.basic', 'VBScript', ('vbscript',), ('*.vbs', '*.VBS'), ()),
+    'VCLLexer': ('pip._vendor.pygments.lexers.varnish', 'VCL', ('vcl',), ('*.vcl',), ('text/x-vclsrc',)),
+    'VCLSnippetLexer': ('pip._vendor.pygments.lexers.varnish', 'VCLSnippets', ('vclsnippets', 'vclsnippet'), (), ('text/x-vclsnippet',)),
+    'VCTreeStatusLexer': ('pip._vendor.pygments.lexers.console', 'VCTreeStatus', ('vctreestatus',), (), ()),
+    'VGLLexer': ('pip._vendor.pygments.lexers.dsls', 'VGL', ('vgl',), ('*.rpf',), ()),
+    'ValaLexer': ('pip._vendor.pygments.lexers.c_like', 'Vala', ('vala', 'vapi'), ('*.vala', '*.vapi'), ('text/x-vala',)),
+    'VbNetAspxLexer': ('pip._vendor.pygments.lexers.dotnet', 'aspx-vb', ('aspx-vb',), ('*.aspx', '*.asax', '*.ascx', '*.ashx', '*.asmx', '*.axd'), ()),
+    'VbNetLexer': ('pip._vendor.pygments.lexers.dotnet', 'VB.net', ('vb.net', 'vbnet', 'lobas', 'oobas', 'sobas', 'visual-basic', 'visualbasic'), ('*.vb', '*.bas'), ('text/x-vbnet', 'text/x-vba')),
+    'VelocityHtmlLexer': ('pip._vendor.pygments.lexers.templates', 'HTML+Velocity', ('html+velocity',), (), ('text/html+velocity',)),
+    'VelocityLexer': ('pip._vendor.pygments.lexers.templates', 'Velocity', ('velocity',), ('*.vm', '*.fhtml'), ()),
+    'VelocityXmlLexer': ('pip._vendor.pygments.lexers.templates', 'XML+Velocity', ('xml+velocity',), (), ('application/xml+velocity',)),
+    'VerifpalLexer': ('pip._vendor.pygments.lexers.verifpal', 'Verifpal', ('verifpal',), ('*.vp',), ('text/x-verifpal',)),
+    'VerilogLexer': ('pip._vendor.pygments.lexers.hdl', 'verilog', ('verilog', 'v'), ('*.v',), ('text/x-verilog',)),
+    'VhdlLexer': ('pip._vendor.pygments.lexers.hdl', 'vhdl', ('vhdl',), ('*.vhdl', '*.vhd'), ('text/x-vhdl',)),
+    'VimLexer': ('pip._vendor.pygments.lexers.textedit', 'VimL', ('vim',), ('*.vim', '.vimrc', '.exrc', '.gvimrc', '_vimrc', '_exrc', '_gvimrc', 'vimrc', 'gvimrc'), ('text/x-vim',)),
+    'VisualPrologGrammarLexer': ('pip._vendor.pygments.lexers.vip', 'Visual Prolog Grammar', ('visualprologgrammar',), ('*.vipgrm',), ()),
+    'VisualPrologLexer': ('pip._vendor.pygments.lexers.vip', 'Visual Prolog', ('visualprolog',), ('*.pro', '*.cl', '*.i', '*.pack', '*.ph'), ()),
+    'VueLexer': ('pip._vendor.pygments.lexers.html', 'Vue', ('vue',), ('*.vue',), ()),
+    'VyperLexer': ('pip._vendor.pygments.lexers.vyper', 'Vyper', ('vyper',), ('*.vy',), ()),
+    'WDiffLexer': ('pip._vendor.pygments.lexers.diff', 'WDiff', ('wdiff',), ('*.wdiff',), ()),
+    'WatLexer': ('pip._vendor.pygments.lexers.webassembly', 'WebAssembly', ('wast', 'wat'), ('*.wat', '*.wast'), ()),
+    'WebIDLLexer': ('pip._vendor.pygments.lexers.webidl', 'Web IDL', ('webidl',), ('*.webidl',), ()),
+    'WgslLexer': ('pip._vendor.pygments.lexers.wgsl', 'WebGPU Shading Language', ('wgsl',), ('*.wgsl',), ('text/wgsl',)),
+    'WhileyLexer': ('pip._vendor.pygments.lexers.whiley', 'Whiley', ('whiley',), ('*.whiley',), ('text/x-whiley',)),
+    'WikitextLexer': ('pip._vendor.pygments.lexers.markup', 'Wikitext', ('wikitext', 'mediawiki'), (), ('text/x-wiki',)),
+    'WoWTocLexer': ('pip._vendor.pygments.lexers.wowtoc', 'World of Warcraft TOC', ('wowtoc',), ('*.toc',), ()),
+    'WrenLexer': ('pip._vendor.pygments.lexers.wren', 'Wren', ('wren',), ('*.wren',), ()),
+    'X10Lexer': ('pip._vendor.pygments.lexers.x10', 'X10', ('x10', 'xten'), ('*.x10',), ('text/x-x10',)),
+    'XMLUL4Lexer': ('pip._vendor.pygments.lexers.ul4', 'XML+UL4', ('xml+ul4',), ('*.xmlul4',), ()),
+    'XQueryLexer': ('pip._vendor.pygments.lexers.webmisc', 'XQuery', ('xquery', 'xqy', 'xq', 'xql', 'xqm'), ('*.xqy', '*.xquery', '*.xq', '*.xql', '*.xqm'), ('text/xquery', 'application/xquery')),
+    'XmlDjangoLexer': ('pip._vendor.pygments.lexers.templates', 'XML+Django/Jinja', ('xml+django', 'xml+jinja'), ('*.xml.j2', '*.xml.jinja2'), ('application/xml+django', 'application/xml+jinja')),
+    'XmlErbLexer': ('pip._vendor.pygments.lexers.templates', 'XML+Ruby', ('xml+ruby', 'xml+erb'), (), ('application/xml+ruby',)),
+    'XmlLexer': ('pip._vendor.pygments.lexers.html', 'XML', ('xml',), ('*.xml', '*.xsl', '*.rss', '*.xslt', '*.xsd', '*.wsdl', '*.wsf', '*.xbrl', '*.pom'), ('text/xml', 'application/xml', 'image/svg+xml', 'application/rss+xml', 'application/atom+xml')),
+    'XmlPhpLexer': ('pip._vendor.pygments.lexers.templates', 'XML+PHP', ('xml+php',), (), ('application/xml+php',)),
+    'XmlSmartyLexer': ('pip._vendor.pygments.lexers.templates', 'XML+Smarty', ('xml+smarty',), (), ('application/xml+smarty',)),
+    'XorgLexer': ('pip._vendor.pygments.lexers.xorg', 'Xorg', ('xorg.conf',), ('xorg.conf',), ()),
+    'XppLexer': ('pip._vendor.pygments.lexers.dotnet', 'X++', ('xpp', 'x++'), ('*.xpp',), ()),
+    'XsltLexer': ('pip._vendor.pygments.lexers.html', 'XSLT', ('xslt',), ('*.xsl', '*.xslt', '*.xpl'), ('application/xsl+xml', 'application/xslt+xml')),
+    'XtendLexer': ('pip._vendor.pygments.lexers.jvm', 'Xtend', ('xtend',), ('*.xtend',), ('text/x-xtend',)),
+    'XtlangLexer': ('pip._vendor.pygments.lexers.lisp', 'xtlang', ('extempore',), ('*.xtm',), ()),
+    'YamlJinjaLexer': ('pip._vendor.pygments.lexers.templates', 'YAML+Jinja', ('yaml+jinja', 'salt', 'sls'), ('*.sls', '*.yaml.j2', '*.yml.j2', '*.yaml.jinja2', '*.yml.jinja2'), ('text/x-yaml+jinja', 'text/x-sls')),
+    'YamlLexer': ('pip._vendor.pygments.lexers.data', 'YAML', ('yaml',), ('*.yaml', '*.yml'), ('text/x-yaml',)),
+    'YangLexer': ('pip._vendor.pygments.lexers.yang', 'YANG', ('yang',), ('*.yang',), ('application/yang',)),
+    'YaraLexer': ('pip._vendor.pygments.lexers.yara', 'YARA', ('yara', 'yar'), ('*.yar',), ('text/x-yara',)),
+    'ZeekLexer': ('pip._vendor.pygments.lexers.dsls', 'Zeek', ('zeek', 'bro'), ('*.zeek', '*.bro'), ()),
+    'ZephirLexer': ('pip._vendor.pygments.lexers.php', 'Zephir', ('zephir',), ('*.zep',), ()),
+    'ZigLexer': ('pip._vendor.pygments.lexers.zig', 'Zig', ('zig',), ('*.zig',), ('text/zig',)),
+    'apdlexer': ('pip._vendor.pygments.lexers.apdlexer', 'ANSYS parametric design language', ('ansys', 'apdl'), ('*.ans',), ()),
+}
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/lexers/python.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/lexers/python.py
new file mode 100644
index 0000000000000000000000000000000000000000..0ec67e5c1188bb029753a0a213ebae883622f251
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/lexers/python.py
@@ -0,0 +1,1204 @@
+"""
+    pygments.lexers.python
+    ~~~~~~~~~~~~~~~~~~~~~~
+
+    Lexers for Python and related languages.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+import keyword
+
+from pip._vendor.pygments.lexer import DelegatingLexer, RegexLexer, include, \
+    bygroups, using, default, words, combined, this
+from pip._vendor.pygments.util import get_bool_opt, shebang_matches
+from pip._vendor.pygments.token import Text, Comment, Operator, Keyword, Name, String, \
+    Number, Punctuation, Generic, Other, Error, Whitespace
+from pip._vendor.pygments import unistring as uni
+
+__all__ = ['PythonLexer', 'PythonConsoleLexer', 'PythonTracebackLexer',
+           'Python2Lexer', 'Python2TracebackLexer',
+           'CythonLexer', 'DgLexer', 'NumPyLexer']
+
+
+class PythonLexer(RegexLexer):
+    """
+    For Python source code (version 3.x).
+
+    .. versionchanged:: 2.5
+       This is now the default ``PythonLexer``.  It is still available as the
+       alias ``Python3Lexer``.
+    """
+
+    name = 'Python'
+    url = 'https://www.python.org'
+    aliases = ['python', 'py', 'sage', 'python3', 'py3', 'bazel', 'starlark', 'pyi']
+    filenames = [
+        '*.py',
+        '*.pyw',
+        # Type stubs
+        '*.pyi',
+        # Jython
+        '*.jy',
+        # Sage
+        '*.sage',
+        # SCons
+        '*.sc',
+        'SConstruct',
+        'SConscript',
+        # Skylark/Starlark (used by Bazel, Buck, and Pants)
+        '*.bzl',
+        'BUCK',
+        'BUILD',
+        'BUILD.bazel',
+        'WORKSPACE',
+        # Twisted Application infrastructure
+        '*.tac',
+        # Execubot level format
+        '*.pye',
+    ]
+    mimetypes = ['text/x-python', 'application/x-python',
+                 'text/x-python3', 'application/x-python3']
+    version_added = '0.10'
+
+    uni_name = f"[{uni.xid_start}][{uni.xid_continue}]*"
+
+    def innerstring_rules(ttype):
+        return [
+            # the old style '%s' % (...) string formatting (still valid in Py3)
+            (r'%(\(\w+\))?[-#0 +]*([0-9]+|[*])?(\.([0-9]+|[*]))?'
+             '[hlL]?[E-GXc-giorsaux%]', String.Interpol),
+            # the new style '{}'.format(...) string formatting
+            (r'\{'
+             r'((\w+)((\.\w+)|(\[[^\]]+\]))*)?'  # field name
+             r'(\![sra])?'                       # conversion
+             r'(\:(.?[<>=\^])?[-+ ]?#?0?(\d+)?,?(\.\d+)?[E-GXb-gnosx%]?)?'
+             r'\}', String.Interpol),
+
+            # backslashes, quotes and formatting signs must be parsed one at a time
+            (r'[^\\\'"%{\n]+', ttype),
+            (r'[\'"\\]', ttype),
+            # unhandled string formatting sign
+            (r'%|(\{{1,2})', ttype)
+            # newlines are an error (use "nl" state)
+        ]
+
+    def fstring_rules(ttype):
+        return [
+            # Assuming that a '}' is the closing brace after format specifier.
+            # Sadly, this means that we won't detect syntax error. But it's
+            # more important to parse correct syntax correctly, than to
+            # highlight invalid syntax.
+            (r'\}', String.Interpol),
+            (r'\{', String.Interpol, 'expr-inside-fstring'),
+            # backslashes, quotes and formatting signs must be parsed one at a time
+            (r'[^\\\'"{}\n]+', ttype),
+            (r'[\'"\\]', ttype),
+            # newlines are an error (use "nl" state)
+        ]
+
+    tokens = {
+        'root': [
+            (r'\n', Whitespace),
+            (r'^(\s*)([rRuUbB]{,2})("""(?:.|\n)*?""")',
+             bygroups(Whitespace, String.Affix, String.Doc)),
+            (r"^(\s*)([rRuUbB]{,2})('''(?:.|\n)*?''')",
+             bygroups(Whitespace, String.Affix, String.Doc)),
+            (r'\A#!.+$', Comment.Hashbang),
+            (r'#.*$', Comment.Single),
+            (r'\\\n', Text),
+            (r'\\', Text),
+            include('keywords'),
+            include('soft-keywords'),
+            (r'(def)((?:\s|\\\s)+)', bygroups(Keyword, Whitespace), 'funcname'),
+            (r'(class)((?:\s|\\\s)+)', bygroups(Keyword, Whitespace), 'classname'),
+            (r'(from)((?:\s|\\\s)+)', bygroups(Keyword.Namespace, Whitespace),
+             'fromimport'),
+            (r'(import)((?:\s|\\\s)+)', bygroups(Keyword.Namespace, Whitespace),
+             'import'),
+            include('expr'),
+        ],
+        'expr': [
+            # raw f-strings and t-strings
+            ('(?i)(r[ft]|[ft]r)(""")',
+             bygroups(String.Affix, String.Double),
+             combined('rfstringescape', 'tdqf')),
+            ("(?i)(r[ft]|[ft]r)(''')",
+             bygroups(String.Affix, String.Single),
+             combined('rfstringescape', 'tsqf')),
+            ('(?i)(r[ft]|[ft]r)(")',
+             bygroups(String.Affix, String.Double),
+             combined('rfstringescape', 'dqf')),
+            ("(?i)(r[ft]|[ft]r)(')",
+             bygroups(String.Affix, String.Single),
+             combined('rfstringescape', 'sqf')),
+            # non-raw f-strings and t-strings
+            ('([fFtT])(""")', bygroups(String.Affix, String.Double),
+             combined('fstringescape', 'tdqf')),
+            ("([fFtT])(''')", bygroups(String.Affix, String.Single),
+             combined('fstringescape', 'tsqf')),
+            ('([fFtT])(")', bygroups(String.Affix, String.Double),
+             combined('fstringescape', 'dqf')),
+            ("([fFtT])(')", bygroups(String.Affix, String.Single),
+             combined('fstringescape', 'sqf')),
+            # raw bytes and strings
+            ('(?i)(rb|br|r)(""")',
+             bygroups(String.Affix, String.Double), 'tdqs'),
+            ("(?i)(rb|br|r)(''')",
+             bygroups(String.Affix, String.Single), 'tsqs'),
+            ('(?i)(rb|br|r)(")',
+             bygroups(String.Affix, String.Double), 'dqs'),
+            ("(?i)(rb|br|r)(')",
+             bygroups(String.Affix, String.Single), 'sqs'),
+            # non-raw strings
+            ('([uU]?)(""")', bygroups(String.Affix, String.Double),
+             combined('stringescape', 'tdqs')),
+            ("([uU]?)(''')", bygroups(String.Affix, String.Single),
+             combined('stringescape', 'tsqs')),
+            ('([uU]?)(")', bygroups(String.Affix, String.Double),
+             combined('stringescape', 'dqs')),
+            ("([uU]?)(')", bygroups(String.Affix, String.Single),
+             combined('stringescape', 'sqs')),
+            # non-raw bytes
+            ('([bB])(""")', bygroups(String.Affix, String.Double),
+             combined('bytesescape', 'tdqs')),
+            ("([bB])(''')", bygroups(String.Affix, String.Single),
+             combined('bytesescape', 'tsqs')),
+            ('([bB])(")', bygroups(String.Affix, String.Double),
+             combined('bytesescape', 'dqs')),
+            ("([bB])(')", bygroups(String.Affix, String.Single),
+             combined('bytesescape', 'sqs')),
+
+            (r'[^\S\n]+', Text),
+            include('numbers'),
+            (r'!=|==|<<|>>|:=|[-~+/*%=<>&^|.]', Operator),
+            (r'[]{}:(),;[]', Punctuation),
+            (r'(in|is|and|or|not)\b', Operator.Word),
+            include('expr-keywords'),
+            include('builtins'),
+            include('magicfuncs'),
+            include('magicvars'),
+            include('name'),
+        ],
+        'expr-inside-fstring': [
+            (r'[{([]', Punctuation, 'expr-inside-fstring-inner'),
+            # without format specifier
+            (r'(=\s*)?'         # debug (https://bugs.python.org/issue36817)
+             r'(\![sraf])?'     # conversion
+             r'\}', String.Interpol, '#pop'),
+            # with format specifier
+            # we'll catch the remaining '}' in the outer scope
+            (r'(=\s*)?'         # debug (https://bugs.python.org/issue36817)
+             r'(\![sraf])?'     # conversion
+             r':', String.Interpol, '#pop'),
+            (r'\s+', Whitespace),  # allow new lines
+            include('expr'),
+        ],
+        'expr-inside-fstring-inner': [
+            (r'[{([]', Punctuation, 'expr-inside-fstring-inner'),
+            (r'[])}]', Punctuation, '#pop'),
+            (r'\s+', Whitespace),  # allow new lines
+            include('expr'),
+        ],
+        'expr-keywords': [
+            # Based on https://docs.python.org/3/reference/expressions.html
+            (words((
+                'async for', 'await', 'else', 'for', 'if', 'lambda',
+                'yield', 'yield from'), suffix=r'\b'),
+             Keyword),
+            (words(('True', 'False', 'None'), suffix=r'\b'), Keyword.Constant),
+        ],
+        'keywords': [
+            (words((
+                'assert', 'async', 'await', 'break', 'continue', 'del', 'elif',
+                'else', 'except', 'finally', 'for', 'global', 'if', 'lambda',
+                'pass', 'raise', 'nonlocal', 'return', 'try', 'while', 'yield',
+                'yield from', 'as', 'with'), suffix=r'\b'),
+             Keyword),
+            (words(('True', 'False', 'None'), suffix=r'\b'), Keyword.Constant),
+        ],
+        'soft-keywords': [
+            # `match`, `case` and `_` soft keywords
+            (r'(^[ \t]*)'              # at beginning of line + possible indentation
+             r'(match|case)\b'         # a possible keyword
+             r'(?![ \t]*(?:'           # not followed by...
+             r'[:,;=^&|@~)\]}]|(?:' +  # characters and keywords that mean this isn't
+                                       # pattern matching (but None/True/False is ok)
+             r'|'.join(k for k in keyword.kwlist if k[0].islower()) + r')\b))',
+             bygroups(Text, Keyword), 'soft-keywords-inner'),
+        ],
+        'soft-keywords-inner': [
+            # optional `_` keyword
+            (r'(\s+)([^\n_]*)(_\b)', bygroups(Whitespace, using(this), Keyword)),
+            default('#pop')
+        ],
+        'builtins': [
+            (words((
+                '__import__', 'abs', 'aiter', 'all', 'any', 'bin', 'bool', 'bytearray',
+                'breakpoint', 'bytes', 'callable', 'chr', 'classmethod', 'compile',
+                'complex', 'delattr', 'dict', 'dir', 'divmod', 'enumerate', 'eval',
+                'filter', 'float', 'format', 'frozenset', 'getattr', 'globals',
+                'hasattr', 'hash', 'hex', 'id', 'input', 'int', 'isinstance',
+                'issubclass', 'iter', 'len', 'list', 'locals', 'map', 'max',
+                'memoryview', 'min', 'next', 'object', 'oct', 'open', 'ord', 'pow',
+                'print', 'property', 'range', 'repr', 'reversed', 'round', 'set',
+                'setattr', 'slice', 'sorted', 'staticmethod', 'str', 'sum', 'super',
+                'tuple', 'type', 'vars', 'zip'), prefix=r'(?>|[-~+/*%=<>&^|.]', Operator),
+            include('keywords'),
+            (r'(def)((?:\s|\\\s)+)', bygroups(Keyword, Whitespace), 'funcname'),
+            (r'(class)((?:\s|\\\s)+)', bygroups(Keyword, Whitespace), 'classname'),
+            (r'(from)((?:\s|\\\s)+)', bygroups(Keyword.Namespace, Whitespace),
+             'fromimport'),
+            (r'(import)((?:\s|\\\s)+)', bygroups(Keyword.Namespace, Whitespace),
+             'import'),
+            include('builtins'),
+            include('magicfuncs'),
+            include('magicvars'),
+            include('backtick'),
+            ('([rR]|[uUbB][rR]|[rR][uUbB])(""")',
+             bygroups(String.Affix, String.Double), 'tdqs'),
+            ("([rR]|[uUbB][rR]|[rR][uUbB])(''')",
+             bygroups(String.Affix, String.Single), 'tsqs'),
+            ('([rR]|[uUbB][rR]|[rR][uUbB])(")',
+             bygroups(String.Affix, String.Double), 'dqs'),
+            ("([rR]|[uUbB][rR]|[rR][uUbB])(')",
+             bygroups(String.Affix, String.Single), 'sqs'),
+            ('([uUbB]?)(""")', bygroups(String.Affix, String.Double),
+             combined('stringescape', 'tdqs')),
+            ("([uUbB]?)(''')", bygroups(String.Affix, String.Single),
+             combined('stringescape', 'tsqs')),
+            ('([uUbB]?)(")', bygroups(String.Affix, String.Double),
+             combined('stringescape', 'dqs')),
+            ("([uUbB]?)(')", bygroups(String.Affix, String.Single),
+             combined('stringescape', 'sqs')),
+            include('name'),
+            include('numbers'),
+        ],
+        'keywords': [
+            (words((
+                'assert', 'break', 'continue', 'del', 'elif', 'else', 'except',
+                'exec', 'finally', 'for', 'global', 'if', 'lambda', 'pass',
+                'print', 'raise', 'return', 'try', 'while', 'yield',
+                'yield from', 'as', 'with'), suffix=r'\b'),
+             Keyword),
+        ],
+        'builtins': [
+            (words((
+                '__import__', 'abs', 'all', 'any', 'apply', 'basestring', 'bin',
+                'bool', 'buffer', 'bytearray', 'bytes', 'callable', 'chr', 'classmethod',
+                'cmp', 'coerce', 'compile', 'complex', 'delattr', 'dict', 'dir', 'divmod',
+                'enumerate', 'eval', 'execfile', 'exit', 'file', 'filter', 'float',
+                'frozenset', 'getattr', 'globals', 'hasattr', 'hash', 'hex', 'id',
+                'input', 'int', 'intern', 'isinstance', 'issubclass', 'iter', 'len',
+                'list', 'locals', 'long', 'map', 'max', 'min', 'next', 'object',
+                'oct', 'open', 'ord', 'pow', 'property', 'range', 'raw_input', 'reduce',
+                'reload', 'repr', 'reversed', 'round', 'set', 'setattr', 'slice',
+                'sorted', 'staticmethod', 'str', 'sum', 'super', 'tuple', 'type',
+                'unichr', 'unicode', 'vars', 'xrange', 'zip'),
+                prefix=r'(?>> )(.*\n)', bygroups(Generic.Prompt, Other.Code), 'continuations'),
+            # This happens, e.g., when tracebacks are embedded in documentation;
+            # trailing whitespaces are often stripped in such contexts.
+            (r'(>>>)(\n)', bygroups(Generic.Prompt, Whitespace)),
+            (r'(\^C)?Traceback \(most recent call last\):\n', Other.Traceback, 'traceback'),
+            # SyntaxError starts with this
+            (r'  File "[^"]+", line \d+', Other.Traceback, 'traceback'),
+            (r'.*\n', Generic.Output),
+        ],
+        'continuations': [
+            (r'(\.\.\. )(.*\n)', bygroups(Generic.Prompt, Other.Code)),
+            # See above.
+            (r'(\.\.\.)(\n)', bygroups(Generic.Prompt, Whitespace)),
+            default('#pop'),
+        ],
+        'traceback': [
+            # As soon as we see a traceback, consume everything until the next
+            # >>> prompt.
+            (r'(?=>>>( |$))', Text, '#pop'),
+            (r'(KeyboardInterrupt)(\n)', bygroups(Name.Class, Whitespace)),
+            (r'.*\n', Other.Traceback),
+        ],
+    }
+
+
+class PythonConsoleLexer(DelegatingLexer):
+    """
+    For Python console output or doctests, such as:
+
+    .. sourcecode:: pycon
+
+        >>> a = 'foo'
+        >>> print(a)
+        foo
+        >>> 1 / 0
+        Traceback (most recent call last):
+          File "", line 1, in 
+        ZeroDivisionError: integer division or modulo by zero
+
+    Additional options:
+
+    `python3`
+        Use Python 3 lexer for code.  Default is ``True``.
+
+        .. versionadded:: 1.0
+        .. versionchanged:: 2.5
+           Now defaults to ``True``.
+    """
+
+    name = 'Python console session'
+    aliases = ['pycon', 'python-console']
+    mimetypes = ['text/x-python-doctest']
+    url = 'https://python.org'
+    version_added = ''
+
+    def __init__(self, **options):
+        python3 = get_bool_opt(options, 'python3', True)
+        if python3:
+            pylexer = PythonLexer
+            tblexer = PythonTracebackLexer
+        else:
+            pylexer = Python2Lexer
+            tblexer = Python2TracebackLexer
+        # We have two auxiliary lexers. Use DelegatingLexer twice with
+        # different tokens.  TODO: DelegatingLexer should support this
+        # directly, by accepting a tuplet of auxiliary lexers and a tuple of
+        # distinguishing tokens. Then we wouldn't need this intermediary
+        # class.
+        class _ReplaceInnerCode(DelegatingLexer):
+            def __init__(self, **options):
+                super().__init__(pylexer, _PythonConsoleLexerBase, Other.Code, **options)
+        super().__init__(tblexer, _ReplaceInnerCode, Other.Traceback, **options)
+
+
+class PythonTracebackLexer(RegexLexer):
+    """
+    For Python 3.x tracebacks, with support for chained exceptions.
+
+    .. versionchanged:: 2.5
+       This is now the default ``PythonTracebackLexer``.  It is still available
+       as the alias ``Python3TracebackLexer``.
+    """
+
+    name = 'Python Traceback'
+    aliases = ['pytb', 'py3tb']
+    filenames = ['*.pytb', '*.py3tb']
+    mimetypes = ['text/x-python-traceback', 'text/x-python3-traceback']
+    url = 'https://python.org'
+    version_added = '1.0'
+
+    tokens = {
+        'root': [
+            (r'\n', Whitespace),
+            (r'^(\^C)?Traceback \(most recent call last\):\n', Generic.Traceback, 'intb'),
+            (r'^During handling of the above exception, another '
+             r'exception occurred:\n\n', Generic.Traceback),
+            (r'^The above exception was the direct cause of the '
+             r'following exception:\n\n', Generic.Traceback),
+            (r'^(?=  File "[^"]+", line \d+)', Generic.Traceback, 'intb'),
+            (r'^.*\n', Other),
+        ],
+        'intb': [
+            (r'^(  File )("[^"]+")(, line )(\d+)(, in )(.+)(\n)',
+             bygroups(Text, Name.Builtin, Text, Number, Text, Name, Whitespace)),
+            (r'^(  File )("[^"]+")(, line )(\d+)(\n)',
+             bygroups(Text, Name.Builtin, Text, Number, Whitespace)),
+            (r'^(    )(.+)(\n)',
+             bygroups(Whitespace, using(PythonLexer), Whitespace), 'markers'),
+            (r'^([ \t]*)(\.\.\.)(\n)',
+             bygroups(Whitespace, Comment, Whitespace)),  # for doctests...
+            (r'^([^:]+)(: )(.+)(\n)',
+             bygroups(Generic.Error, Text, Name, Whitespace), '#pop'),
+            (r'^([a-zA-Z_][\w.]*)(:?\n)',
+             bygroups(Generic.Error, Whitespace), '#pop'),
+            default('#pop'),
+        ],
+        'markers': [
+            # Either `PEP 657 `
+            # error locations in Python 3.11+, or single-caret markers
+            # for syntax errors before that.
+            (r'^( {4,})([~^]+)(\n)',
+             bygroups(Whitespace, Punctuation.Marker, Whitespace),
+             '#pop'),
+            default('#pop'),
+        ],
+    }
+
+
+Python3TracebackLexer = PythonTracebackLexer
+
+
+class Python2TracebackLexer(RegexLexer):
+    """
+    For Python tracebacks.
+
+    .. versionchanged:: 2.5
+       This class has been renamed from ``PythonTracebackLexer``.
+       ``PythonTracebackLexer`` now refers to the Python 3 variant.
+    """
+
+    name = 'Python 2.x Traceback'
+    aliases = ['py2tb']
+    filenames = ['*.py2tb']
+    mimetypes = ['text/x-python2-traceback']
+    url = 'https://python.org'
+    version_added = '0.7'
+
+    tokens = {
+        'root': [
+            # Cover both (most recent call last) and (innermost last)
+            # The optional ^C allows us to catch keyboard interrupt signals.
+            (r'^(\^C)?(Traceback.*\n)',
+             bygroups(Text, Generic.Traceback), 'intb'),
+            # SyntaxError starts with this.
+            (r'^(?=  File "[^"]+", line \d+)', Generic.Traceback, 'intb'),
+            (r'^.*\n', Other),
+        ],
+        'intb': [
+            (r'^(  File )("[^"]+")(, line )(\d+)(, in )(.+)(\n)',
+             bygroups(Text, Name.Builtin, Text, Number, Text, Name, Whitespace)),
+            (r'^(  File )("[^"]+")(, line )(\d+)(\n)',
+             bygroups(Text, Name.Builtin, Text, Number, Whitespace)),
+            (r'^(    )(.+)(\n)',
+             bygroups(Text, using(Python2Lexer), Whitespace), 'marker'),
+            (r'^([ \t]*)(\.\.\.)(\n)',
+             bygroups(Text, Comment, Whitespace)),  # for doctests...
+            (r'^([^:]+)(: )(.+)(\n)',
+             bygroups(Generic.Error, Text, Name, Whitespace), '#pop'),
+            (r'^([a-zA-Z_]\w*)(:?\n)',
+             bygroups(Generic.Error, Whitespace), '#pop')
+        ],
+        'marker': [
+            # For syntax errors.
+            (r'( {4,})(\^)', bygroups(Text, Punctuation.Marker), '#pop'),
+            default('#pop'),
+        ],
+    }
+
+
+class CythonLexer(RegexLexer):
+    """
+    For Pyrex and Cython source code.
+    """
+
+    name = 'Cython'
+    url = 'https://cython.org'
+    aliases = ['cython', 'pyx', 'pyrex']
+    filenames = ['*.pyx', '*.pxd', '*.pxi']
+    mimetypes = ['text/x-cython', 'application/x-cython']
+    version_added = '1.1'
+
+    tokens = {
+        'root': [
+            (r'\n', Whitespace),
+            (r'^(\s*)("""(?:.|\n)*?""")', bygroups(Whitespace, String.Doc)),
+            (r"^(\s*)('''(?:.|\n)*?''')", bygroups(Whitespace, String.Doc)),
+            (r'[^\S\n]+', Text),
+            (r'#.*$', Comment),
+            (r'[]{}:(),;[]', Punctuation),
+            (r'\\\n', Whitespace),
+            (r'\\', Text),
+            (r'(in|is|and|or|not)\b', Operator.Word),
+            (r'(<)([a-zA-Z0-9.?]+)(>)',
+             bygroups(Punctuation, Keyword.Type, Punctuation)),
+            (r'!=|==|<<|>>|[-~+/*%=<>&^|.?]', Operator),
+            (r'(from)(\d+)(<=)(\s+)(<)(\d+)(:)',
+             bygroups(Keyword, Number.Integer, Operator, Whitespace, Operator,
+                      Name, Punctuation)),
+            include('keywords'),
+            (r'(def|property)(\s+)', bygroups(Keyword, Whitespace), 'funcname'),
+            (r'(cp?def)(\s+)', bygroups(Keyword, Whitespace), 'cdef'),
+            # (should actually start a block with only cdefs)
+            (r'(cdef)(:)', bygroups(Keyword, Punctuation)),
+            (r'(class|cppclass|struct)(\s+)', bygroups(Keyword, Whitespace), 'classname'),
+            (r'(from)(\s+)', bygroups(Keyword, Whitespace), 'fromimport'),
+            (r'(c?import)(\s+)', bygroups(Keyword, Whitespace), 'import'),
+            include('builtins'),
+            include('backtick'),
+            ('(?:[rR]|[uU][rR]|[rR][uU])"""', String, 'tdqs'),
+            ("(?:[rR]|[uU][rR]|[rR][uU])'''", String, 'tsqs'),
+            ('(?:[rR]|[uU][rR]|[rR][uU])"', String, 'dqs'),
+            ("(?:[rR]|[uU][rR]|[rR][uU])'", String, 'sqs'),
+            ('[uU]?"""', String, combined('stringescape', 'tdqs')),
+            ("[uU]?'''", String, combined('stringescape', 'tsqs')),
+            ('[uU]?"', String, combined('stringescape', 'dqs')),
+            ("[uU]?'", String, combined('stringescape', 'sqs')),
+            include('name'),
+            include('numbers'),
+        ],
+        'keywords': [
+            (words((
+                'assert', 'async', 'await', 'break', 'by', 'continue', 'ctypedef', 'del',
+                'elif', 'else', 'except', 'except?', 'exec', 'finally', 'for', 'fused', 'gil',
+                'global', 'if', 'include', 'lambda', 'namespace', 'new', 'noexcept','nogil',
+                'pass', 'print', 'raise', 'return', 'try', 'while', 'yield', 'as', 'with'),
+             suffix=r'\b'),
+             Keyword),
+             (words(('True', 'False', 'None', 'NULL'), suffix=r'\b'), Keyword.Constant),
+            (r'(DEF|IF|ELIF|ELSE)\b', Comment.Preproc),
+        ],
+        'builtins': [
+            (words((
+                '__import__', 'abs', 'all', 'any', 'apply', 'basestring', 'bin', 'bint',
+                'bool', 'buffer', 'bytearray', 'bytes', 'callable', 'char', 'chr',
+                'classmethod', 'cmp', 'coerce', 'compile', 'complex', 'delattr',
+                'dict', 'dir', 'divmod', 'double', 'enumerate', 'eval', 'execfile', 'exit',
+                'file', 'filter', 'float', 'frozenset', 'getattr', 'globals',
+                'hasattr', 'hash', 'hex', 'id', 'input', 'int', 'intern', 'isinstance',
+                'issubclass', 'iter', 'len', 'list', 'locals', 'long', 'map', 'max',
+                'min', 'next', 'object', 'oct', 'open', 'ord', 'pow', 'property',
+                'Py_ssize_t', 'range', 'raw_input', 'reduce', 'reload', 'repr', 'reversed',
+                'round', 'set', 'setattr', 'size_t', 'slice', 'sorted', 'staticmethod',
+                'ssize_t', 'str', 'sum', 'super', 'tuple', 'type', 'unichr', 'unicode',
+                'unsigned', 'vars', 'xrange', 'zip'), prefix=r'(?]? \d* )? :
+    .* (?: ft | filetype | syn | syntax ) = ( [^:\s]+ )
+''', re.VERBOSE)
+
+
+def get_filetype_from_line(l): # noqa: E741
+    m = modeline_re.search(l)
+    if m:
+        return m.group(1)
+
+
+def get_filetype_from_buffer(buf, max_lines=5):
+    """
+    Scan the buffer for modelines and return filetype if one is found.
+    """
+    lines = buf.splitlines()
+    for line in lines[-1:-max_lines-1:-1]:
+        ret = get_filetype_from_line(line)
+        if ret:
+            return ret
+    for i in range(max_lines, -1, -1):
+        if i < len(lines):
+            ret = get_filetype_from_line(lines[i])
+            if ret:
+                return ret
+
+    return None
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/plugin.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/plugin.py
new file mode 100644
index 0000000000000000000000000000000000000000..0d6377f769cf68505f6c3ff5495fe01effb31d38
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/plugin.py
@@ -0,0 +1,74 @@
+"""
+    pygments.plugin
+    ~~~~~~~~~~~~~~~
+
+    Pygments plugin interface.
+
+    lexer plugins::
+
+        [pygments.lexers]
+        yourlexer = yourmodule:YourLexer
+
+    formatter plugins::
+
+        [pygments.formatters]
+        yourformatter = yourformatter:YourFormatter
+        /.ext = yourformatter:YourFormatter
+
+    As you can see, you can define extensions for the formatter
+    with a leading slash.
+
+    syntax plugins::
+
+        [pygments.styles]
+        yourstyle = yourstyle:YourStyle
+
+    filter plugin::
+
+        [pygments.filter]
+        yourfilter = yourfilter:YourFilter
+
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+import functools
+from importlib.metadata import entry_points
+
+LEXER_ENTRY_POINT = 'pygments.lexers'
+FORMATTER_ENTRY_POINT = 'pygments.formatters'
+STYLE_ENTRY_POINT = 'pygments.styles'
+FILTER_ENTRY_POINT = 'pygments.filters'
+
+
+@functools.cache
+def iter_entry_points(group_name):
+    groups = entry_points()
+    if hasattr(groups, 'select'):
+        # New interface in Python 3.10 and newer versions of the
+        # importlib_metadata backport.
+        return groups.select(group=group_name)
+    else:
+        # Older interface, deprecated in Python 3.10 and recent
+        # importlib_metadata, but we need it in Python 3.8 and 3.9.
+        return groups.get(group_name, [])
+
+
+def find_plugin_lexers():
+    for entrypoint in iter_entry_points(LEXER_ENTRY_POINT):
+        yield entrypoint.load()
+
+
+def find_plugin_formatters():
+    for entrypoint in iter_entry_points(FORMATTER_ENTRY_POINT):
+        yield entrypoint.name, entrypoint.load()
+
+
+def find_plugin_styles():
+    for entrypoint in iter_entry_points(STYLE_ENTRY_POINT):
+        yield entrypoint.name, entrypoint.load()
+
+
+def find_plugin_filters():
+    for entrypoint in iter_entry_points(FILTER_ENTRY_POINT):
+        yield entrypoint.name, entrypoint.load()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/regexopt.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/regexopt.py
new file mode 100644
index 0000000000000000000000000000000000000000..9010eb3fb517ff4134b4f52581179fa80b0f7540
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/regexopt.py
@@ -0,0 +1,102 @@
+"""
+    pygments.regexopt
+    ~~~~~~~~~~~~~~~~~
+
+    An algorithm that generates optimized regexes for matching long lists of
+    literal strings.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+import re
+from re import escape
+from itertools import groupby
+from operator import itemgetter
+
+CS_ESCAPE = re.compile(r'[\[\^\\\-\]]')
+FIRST_ELEMENT = itemgetter(0)
+
+
+def commonprefix(m):
+    """Given an iterable of strings, returns the longest common leading substring"""
+    if not m:
+        return ""
+    s1 = min(m)
+    s2 = max(m)
+    for i, c in enumerate(s1):
+        if c != s2[i]:
+            return s1[:i]
+    return s1
+
+
+def make_charset(letters):
+    return '[' + CS_ESCAPE.sub(lambda m: '\\' + m.group(), ''.join(letters)) + ']'
+
+
+def regex_opt_inner(strings, open_paren):
+    """Return a regex that matches any string in the sorted list of strings."""
+    close_paren = open_paren and ')' or ''
+    # print strings, repr(open_paren)
+    if not strings:
+        # print '-> nothing left'
+        return ''
+    first = strings[0]
+    if len(strings) == 1:
+        # print '-> only 1 string'
+        return open_paren + escape(first) + close_paren
+    if not first:
+        # print '-> first string empty'
+        return open_paren + regex_opt_inner(strings[1:], '(?:') \
+            + '?' + close_paren
+    if len(first) == 1:
+        # multiple one-char strings? make a charset
+        oneletter = []
+        rest = []
+        for s in strings:
+            if len(s) == 1:
+                oneletter.append(s)
+            else:
+                rest.append(s)
+        if len(oneletter) > 1:  # do we have more than one oneletter string?
+            if rest:
+                # print '-> 1-character + rest'
+                return open_paren + regex_opt_inner(rest, '') + '|' \
+                    + make_charset(oneletter) + close_paren
+            # print '-> only 1-character'
+            return open_paren + make_charset(oneletter) + close_paren
+    prefix = commonprefix(strings)
+    if prefix:
+        plen = len(prefix)
+        # we have a prefix for all strings
+        # print '-> prefix:', prefix
+        return open_paren + escape(prefix) \
+            + regex_opt_inner([s[plen:] for s in strings], '(?:') \
+            + close_paren
+    # is there a suffix?
+    strings_rev = [s[::-1] for s in strings]
+    suffix = commonprefix(strings_rev)
+    if suffix:
+        slen = len(suffix)
+        # print '-> suffix:', suffix[::-1]
+        return open_paren \
+            + regex_opt_inner(sorted(s[:-slen] for s in strings), '(?:') \
+            + escape(suffix[::-1]) + close_paren
+    # recurse on common 1-string prefixes
+    # print '-> last resort'
+    return open_paren + \
+        '|'.join(regex_opt_inner(list(group[1]), '')
+                 for group in groupby(strings, lambda s: s[0] == first[0])) \
+        + close_paren
+
+
+def regex_opt(strings, prefix='', suffix=''):
+    """Return a compiled regex that matches any string in the given list.
+
+    The strings to match must be literal strings, not regexes.  They will be
+    regex-escaped.
+
+    *prefix* and *suffix* are pre- and appended to the final regex.
+    """
+    strings = sorted(strings)
+    return prefix + regex_opt_inner(strings, '(') + suffix
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/scanner.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/scanner.py
new file mode 100644
index 0000000000000000000000000000000000000000..067ebfa9c65a9ea3b3ac3e1d4cf815eee2f1f32b
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/scanner.py
@@ -0,0 +1,104 @@
+"""
+    pygments.scanner
+    ~~~~~~~~~~~~~~~~
+
+    This library implements a regex based scanner. Some languages
+    like Pascal are easy to parse but have some keywords that
+    depend on the context. Because of this it's impossible to lex
+    that just by using a regular expression lexer like the
+    `RegexLexer`.
+
+    Have a look at the `DelphiLexer` to get an idea of how to use
+    this scanner.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+import re
+
+
+class EndOfText(RuntimeError):
+    """
+    Raise if end of text is reached and the user
+    tried to call a match function.
+    """
+
+
+class Scanner:
+    """
+    Simple scanner
+
+    All method patterns are regular expression strings (not
+    compiled expressions!)
+    """
+
+    def __init__(self, text, flags=0):
+        """
+        :param text:    The text which should be scanned
+        :param flags:   default regular expression flags
+        """
+        self.data = text
+        self.data_length = len(text)
+        self.start_pos = 0
+        self.pos = 0
+        self.flags = flags
+        self.last = None
+        self.match = None
+        self._re_cache = {}
+
+    def eos(self):
+        """`True` if the scanner reached the end of text."""
+        return self.pos >= self.data_length
+    eos = property(eos, eos.__doc__)
+
+    def check(self, pattern):
+        """
+        Apply `pattern` on the current position and return
+        the match object. (Doesn't touch pos). Use this for
+        lookahead.
+        """
+        if self.eos:
+            raise EndOfText()
+        if pattern not in self._re_cache:
+            self._re_cache[pattern] = re.compile(pattern, self.flags)
+        return self._re_cache[pattern].match(self.data, self.pos)
+
+    def test(self, pattern):
+        """Apply a pattern on the current position and check
+        if it patches. Doesn't touch pos.
+        """
+        return self.check(pattern) is not None
+
+    def scan(self, pattern):
+        """
+        Scan the text for the given pattern and update pos/match
+        and related fields. The return value is a boolean that
+        indicates if the pattern matched. The matched value is
+        stored on the instance as ``match``, the last value is
+        stored as ``last``. ``start_pos`` is the position of the
+        pointer before the pattern was matched, ``pos`` is the
+        end position.
+        """
+        if self.eos:
+            raise EndOfText()
+        if pattern not in self._re_cache:
+            self._re_cache[pattern] = re.compile(pattern, self.flags)
+        self.last = self.match
+        m = self._re_cache[pattern].match(self.data, self.pos)
+        if m is None:
+            return False
+        self.start_pos = m.start()
+        self.pos = m.end()
+        self.match = m.group()
+        return True
+
+    def get_char(self):
+        """Scan exactly one char."""
+        self.scan('.')
+
+    def __repr__(self):
+        return '<%s %d/%d>' % (
+            self.__class__.__name__,
+            self.pos,
+            self.data_length
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/sphinxext.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/sphinxext.py
new file mode 100644
index 0000000000000000000000000000000000000000..7f2fa7458a055e69595367881cc1ca7ed4e74966
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/sphinxext.py
@@ -0,0 +1,247 @@
+"""
+    pygments.sphinxext
+    ~~~~~~~~~~~~~~~~~~
+
+    Sphinx extension to generate automatic documentation of lexers,
+    formatters and filters.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+import sys
+
+from docutils import nodes
+from docutils.statemachine import ViewList
+from docutils.parsers.rst import Directive
+from sphinx.util.nodes import nested_parse_with_titles
+
+
+MODULEDOC = '''
+.. module:: %s
+
+%s
+%s
+'''
+
+LEXERDOC = '''
+.. class:: %s
+
+    :Short names: %s
+    :Filenames:   %s
+    :MIME types:  %s
+
+    %s
+
+    %s
+
+'''
+
+FMTERDOC = '''
+.. class:: %s
+
+    :Short names: %s
+    :Filenames: %s
+
+    %s
+
+'''
+
+FILTERDOC = '''
+.. class:: %s
+
+    :Name: %s
+
+    %s
+
+'''
+
+
+class PygmentsDoc(Directive):
+    """
+    A directive to collect all lexers/formatters/filters and generate
+    autoclass directives for them.
+    """
+    has_content = False
+    required_arguments = 1
+    optional_arguments = 0
+    final_argument_whitespace = False
+    option_spec = {}
+
+    def run(self):
+        self.filenames = set()
+        if self.arguments[0] == 'lexers':
+            out = self.document_lexers()
+        elif self.arguments[0] == 'formatters':
+            out = self.document_formatters()
+        elif self.arguments[0] == 'filters':
+            out = self.document_filters()
+        elif self.arguments[0] == 'lexers_overview':
+            out = self.document_lexers_overview()
+        else:
+            raise Exception('invalid argument for "pygmentsdoc" directive')
+        node = nodes.compound()
+        vl = ViewList(out.split('\n'), source='')
+        nested_parse_with_titles(self.state, vl, node)
+        for fn in self.filenames:
+            self.state.document.settings.record_dependencies.add(fn)
+        return node.children
+
+    def document_lexers_overview(self):
+        """Generate a tabular overview of all lexers.
+
+        The columns are the lexer name, the extensions handled by this lexer
+        (or "None"), the aliases and a link to the lexer class."""
+        from pip._vendor.pygments.lexers._mapping import LEXERS
+        from pip._vendor.pygments.lexers import find_lexer_class
+        out = []
+
+        table = []
+
+        def format_link(name, url):
+            if url:
+                return f'`{name} <{url}>`_'
+            return name
+
+        for classname, data in sorted(LEXERS.items(), key=lambda x: x[1][1].lower()):
+            lexer_cls = find_lexer_class(data[1])
+            extensions = lexer_cls.filenames + lexer_cls.alias_filenames
+
+            table.append({
+                'name': format_link(data[1], lexer_cls.url),
+                'extensions': ', '.join(extensions).replace('*', '\\*').replace('_', '\\') or 'None',
+                'aliases': ', '.join(data[2]),
+                'class': f'{data[0]}.{classname}'
+            })
+
+        column_names = ['name', 'extensions', 'aliases', 'class']
+        column_lengths = [max([len(row[column]) for row in table if row[column]])
+                          for column in column_names]
+
+        def write_row(*columns):
+            """Format a table row"""
+            out = []
+            for length, col in zip(column_lengths, columns):
+                if col:
+                    out.append(col.ljust(length))
+                else:
+                    out.append(' '*length)
+
+            return ' '.join(out)
+
+        def write_seperator():
+            """Write a table separator row"""
+            sep = ['='*c for c in column_lengths]
+            return write_row(*sep)
+
+        out.append(write_seperator())
+        out.append(write_row('Name', 'Extension(s)', 'Short name(s)', 'Lexer class'))
+        out.append(write_seperator())
+        for row in table:
+            out.append(write_row(
+                row['name'],
+                row['extensions'],
+                row['aliases'],
+                f':class:`~{row["class"]}`'))
+        out.append(write_seperator())
+
+        return '\n'.join(out)
+
+    def document_lexers(self):
+        from pip._vendor.pygments.lexers._mapping import LEXERS
+        from pip._vendor import pygments
+        import inspect
+        import pathlib
+
+        out = []
+        modules = {}
+        moduledocstrings = {}
+        for classname, data in sorted(LEXERS.items(), key=lambda x: x[0]):
+            module = data[0]
+            mod = __import__(module, None, None, [classname])
+            self.filenames.add(mod.__file__)
+            cls = getattr(mod, classname)
+            if not cls.__doc__:
+                print(f"Warning: {classname} does not have a docstring.")
+            docstring = cls.__doc__
+            if isinstance(docstring, bytes):
+                docstring = docstring.decode('utf8')
+
+            example_file = getattr(cls, '_example', None)
+            if example_file:
+                p = pathlib.Path(inspect.getabsfile(pygments)).parent.parent /\
+                    'tests' / 'examplefiles' / example_file
+                content = p.read_text(encoding='utf-8')
+                if not content:
+                    raise Exception(
+                        f"Empty example file '{example_file}' for lexer "
+                        f"{classname}")
+
+                if data[2]:
+                    lexer_name = data[2][0]
+                    docstring += '\n\n    .. admonition:: Example\n'
+                    docstring += f'\n      .. code-block:: {lexer_name}\n\n'
+                    for line in content.splitlines():
+                        docstring += f'          {line}\n'
+
+            if cls.version_added:
+                version_line = f'.. versionadded:: {cls.version_added}'
+            else:
+                version_line = ''
+
+            modules.setdefault(module, []).append((
+                classname,
+                ', '.join(data[2]) or 'None',
+                ', '.join(data[3]).replace('*', '\\*').replace('_', '\\') or 'None',
+                ', '.join(data[4]) or 'None',
+                docstring,
+                version_line))
+            if module not in moduledocstrings:
+                moddoc = mod.__doc__
+                if isinstance(moddoc, bytes):
+                    moddoc = moddoc.decode('utf8')
+                moduledocstrings[module] = moddoc
+
+        for module, lexers in sorted(modules.items(), key=lambda x: x[0]):
+            if moduledocstrings[module] is None:
+                raise Exception(f"Missing docstring for {module}")
+            heading = moduledocstrings[module].splitlines()[4].strip().rstrip('.')
+            out.append(MODULEDOC % (module, heading, '-'*len(heading)))
+            for data in lexers:
+                out.append(LEXERDOC % data)
+
+        return ''.join(out)
+
+    def document_formatters(self):
+        from pip._vendor.pygments.formatters import FORMATTERS
+
+        out = []
+        for classname, data in sorted(FORMATTERS.items(), key=lambda x: x[0]):
+            module = data[0]
+            mod = __import__(module, None, None, [classname])
+            self.filenames.add(mod.__file__)
+            cls = getattr(mod, classname)
+            docstring = cls.__doc__
+            if isinstance(docstring, bytes):
+                docstring = docstring.decode('utf8')
+            heading = cls.__name__
+            out.append(FMTERDOC % (heading, ', '.join(data[2]) or 'None',
+                                   ', '.join(data[3]).replace('*', '\\*') or 'None',
+                                   docstring))
+        return ''.join(out)
+
+    def document_filters(self):
+        from pip._vendor.pygments.filters import FILTERS
+
+        out = []
+        for name, cls in FILTERS.items():
+            self.filenames.add(sys.modules[cls.__module__].__file__)
+            docstring = cls.__doc__
+            if isinstance(docstring, bytes):
+                docstring = docstring.decode('utf8')
+            out.append(FILTERDOC % (cls.__name__, name, docstring))
+        return ''.join(out)
+
+
+def setup(app):
+    app.add_directive('pygmentsdoc', PygmentsDoc)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/style.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/style.py
new file mode 100644
index 0000000000000000000000000000000000000000..04b420d8b8f02208e4c0737af985db791783a3d6
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/style.py
@@ -0,0 +1,203 @@
+"""
+    pygments.style
+    ~~~~~~~~~~~~~~
+
+    Basic style object.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+from pip._vendor.pygments.token import Token, STANDARD_TYPES
+
+# Default mapping of ansixxx to RGB colors.
+_ansimap = {
+    # dark
+    'ansiblack': '000000',
+    'ansired': '7f0000',
+    'ansigreen': '007f00',
+    'ansiyellow': '7f7fe0',
+    'ansiblue': '00007f',
+    'ansimagenta': '7f007f',
+    'ansicyan': '007f7f',
+    'ansigray': 'e5e5e5',
+    # normal
+    'ansibrightblack': '555555',
+    'ansibrightred': 'ff0000',
+    'ansibrightgreen': '00ff00',
+    'ansibrightyellow': 'ffff00',
+    'ansibrightblue': '0000ff',
+    'ansibrightmagenta': 'ff00ff',
+    'ansibrightcyan': '00ffff',
+    'ansiwhite': 'ffffff',
+}
+# mapping of deprecated #ansixxx colors to new color names
+_deprecated_ansicolors = {
+    # dark
+    '#ansiblack': 'ansiblack',
+    '#ansidarkred': 'ansired',
+    '#ansidarkgreen': 'ansigreen',
+    '#ansibrown': 'ansiyellow',
+    '#ansidarkblue': 'ansiblue',
+    '#ansipurple': 'ansimagenta',
+    '#ansiteal': 'ansicyan',
+    '#ansilightgray': 'ansigray',
+    # normal
+    '#ansidarkgray': 'ansibrightblack',
+    '#ansired': 'ansibrightred',
+    '#ansigreen': 'ansibrightgreen',
+    '#ansiyellow': 'ansibrightyellow',
+    '#ansiblue': 'ansibrightblue',
+    '#ansifuchsia': 'ansibrightmagenta',
+    '#ansiturquoise': 'ansibrightcyan',
+    '#ansiwhite': 'ansiwhite',
+}
+ansicolors = set(_ansimap)
+
+
+class StyleMeta(type):
+
+    def __new__(mcs, name, bases, dct):
+        obj = type.__new__(mcs, name, bases, dct)
+        for token in STANDARD_TYPES:
+            if token not in obj.styles:
+                obj.styles[token] = ''
+
+        def colorformat(text):
+            if text in ansicolors:
+                return text
+            if text[0:1] == '#':
+                col = text[1:]
+                if len(col) == 6:
+                    return col
+                elif len(col) == 3:
+                    return col[0] * 2 + col[1] * 2 + col[2] * 2
+            elif text == '':
+                return ''
+            elif text.startswith('var') or text.startswith('calc'):
+                return text
+            assert False, f"wrong color format {text!r}"
+
+        _styles = obj._styles = {}
+
+        for ttype in obj.styles:
+            for token in ttype.split():
+                if token in _styles:
+                    continue
+                ndef = _styles.get(token.parent, None)
+                styledefs = obj.styles.get(token, '').split()
+                if not ndef or token is None:
+                    ndef = ['', 0, 0, 0, '', '', 0, 0, 0]
+                elif 'noinherit' in styledefs and token is not Token:
+                    ndef = _styles[Token][:]
+                else:
+                    ndef = ndef[:]
+                _styles[token] = ndef
+                for styledef in obj.styles.get(token, '').split():
+                    if styledef == 'noinherit':
+                        pass
+                    elif styledef == 'bold':
+                        ndef[1] = 1
+                    elif styledef == 'nobold':
+                        ndef[1] = 0
+                    elif styledef == 'italic':
+                        ndef[2] = 1
+                    elif styledef == 'noitalic':
+                        ndef[2] = 0
+                    elif styledef == 'underline':
+                        ndef[3] = 1
+                    elif styledef == 'nounderline':
+                        ndef[3] = 0
+                    elif styledef[:3] == 'bg:':
+                        ndef[4] = colorformat(styledef[3:])
+                    elif styledef[:7] == 'border:':
+                        ndef[5] = colorformat(styledef[7:])
+                    elif styledef == 'roman':
+                        ndef[6] = 1
+                    elif styledef == 'sans':
+                        ndef[7] = 1
+                    elif styledef == 'mono':
+                        ndef[8] = 1
+                    else:
+                        ndef[0] = colorformat(styledef)
+
+        return obj
+
+    def style_for_token(cls, token):
+        t = cls._styles[token]
+        ansicolor = bgansicolor = None
+        color = t[0]
+        if color in _deprecated_ansicolors:
+            color = _deprecated_ansicolors[color]
+        if color in ansicolors:
+            ansicolor = color
+            color = _ansimap[color]
+        bgcolor = t[4]
+        if bgcolor in _deprecated_ansicolors:
+            bgcolor = _deprecated_ansicolors[bgcolor]
+        if bgcolor in ansicolors:
+            bgansicolor = bgcolor
+            bgcolor = _ansimap[bgcolor]
+
+        return {
+            'color':        color or None,
+            'bold':         bool(t[1]),
+            'italic':       bool(t[2]),
+            'underline':    bool(t[3]),
+            'bgcolor':      bgcolor or None,
+            'border':       t[5] or None,
+            'roman':        bool(t[6]) or None,
+            'sans':         bool(t[7]) or None,
+            'mono':         bool(t[8]) or None,
+            'ansicolor':    ansicolor,
+            'bgansicolor':  bgansicolor,
+        }
+
+    def list_styles(cls):
+        return list(cls)
+
+    def styles_token(cls, ttype):
+        return ttype in cls._styles
+
+    def __iter__(cls):
+        for token in cls._styles:
+            yield token, cls.style_for_token(token)
+
+    def __len__(cls):
+        return len(cls._styles)
+
+
+class Style(metaclass=StyleMeta):
+
+    #: overall background color (``None`` means transparent)
+    background_color = '#ffffff'
+
+    #: highlight background color
+    highlight_color = '#ffffcc'
+
+    #: line number font color
+    line_number_color = 'inherit'
+
+    #: line number background color
+    line_number_background_color = 'transparent'
+
+    #: special line number font color
+    line_number_special_color = '#000000'
+
+    #: special line number background color
+    line_number_special_background_color = '#ffffc0'
+
+    #: Style definitions for individual token types.
+    styles = {}
+
+    #: user-friendly style name (used when selecting the style, so this
+    # should be all-lowercase, no spaces, hyphens)
+    name = 'unnamed'
+
+    aliases = []
+
+    # Attribute for lexers defined within Pygments. If set
+    # to True, the style is not shown in the style gallery
+    # on the website. This is intended for language-specific
+    # styles.
+    web_style_gallery_exclude = False
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/styles/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/styles/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..29f2110ad4da37ed29ed558424e1f144f602e722
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/styles/__init__.py
@@ -0,0 +1,61 @@
+"""
+    pygments.styles
+    ~~~~~~~~~~~~~~~
+
+    Contains built-in styles.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+from pip._vendor.pygments.plugin import find_plugin_styles
+from pip._vendor.pygments.util import ClassNotFound
+from pip._vendor.pygments.styles._mapping import STYLES
+
+#: A dictionary of built-in styles, mapping style names to
+#: ``'submodule::classname'`` strings.
+#: This list is deprecated. Use `pygments.styles.STYLES` instead
+STYLE_MAP = {v[1]: v[0].split('.')[-1] + '::' + k for k, v in STYLES.items()}
+
+#: Internal reverse mapping to make `get_style_by_name` more efficient
+_STYLE_NAME_TO_MODULE_MAP = {v[1]: (v[0], k) for k, v in STYLES.items()}
+
+
+def get_style_by_name(name):
+    """
+    Return a style class by its short name. The names of the builtin styles
+    are listed in :data:`pygments.styles.STYLE_MAP`.
+
+    Will raise :exc:`pygments.util.ClassNotFound` if no style of that name is
+    found.
+    """
+    if name in _STYLE_NAME_TO_MODULE_MAP:
+        mod, cls = _STYLE_NAME_TO_MODULE_MAP[name]
+        builtin = "yes"
+    else:
+        for found_name, style in find_plugin_styles():
+            if name == found_name:
+                return style
+        # perhaps it got dropped into our styles package
+        builtin = ""
+        mod = 'pygments.styles.' + name
+        cls = name.title() + "Style"
+
+    try:
+        mod = __import__(mod, None, None, [cls])
+    except ImportError:
+        raise ClassNotFound(f"Could not find style module {mod!r}" +
+                            (builtin and ", though it should be builtin")
+                            + ".")
+    try:
+        return getattr(mod, cls)
+    except AttributeError:
+        raise ClassNotFound(f"Could not find style class {cls!r} in style module.")
+
+
+def get_all_styles():
+    """Return a generator for all styles by name, both builtin and plugin."""
+    for v in STYLES.values():
+        yield v[1]
+    for name, _ in find_plugin_styles():
+        yield name
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/styles/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/styles/__pycache__/__init__.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/styles/_mapping.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/styles/_mapping.py
new file mode 100644
index 0000000000000000000000000000000000000000..49a7fae92dc4d9ed6bcdb735f346b79c476f49ad
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/styles/_mapping.py
@@ -0,0 +1,54 @@
+# Automatically generated by scripts/gen_mapfiles.py.
+# DO NOT EDIT BY HAND; run `tox -e mapfiles` instead.
+
+STYLES = {
+    'AbapStyle': ('pygments.styles.abap', 'abap', ()),
+    'AlgolStyle': ('pygments.styles.algol', 'algol', ()),
+    'Algol_NuStyle': ('pygments.styles.algol_nu', 'algol_nu', ()),
+    'ArduinoStyle': ('pygments.styles.arduino', 'arduino', ()),
+    'AutumnStyle': ('pygments.styles.autumn', 'autumn', ()),
+    'BlackWhiteStyle': ('pygments.styles.bw', 'bw', ()),
+    'BorlandStyle': ('pygments.styles.borland', 'borland', ()),
+    'CoffeeStyle': ('pygments.styles.coffee', 'coffee', ()),
+    'ColorfulStyle': ('pygments.styles.colorful', 'colorful', ()),
+    'DefaultStyle': ('pygments.styles.default', 'default', ()),
+    'DraculaStyle': ('pygments.styles.dracula', 'dracula', ()),
+    'EmacsStyle': ('pygments.styles.emacs', 'emacs', ()),
+    'FriendlyGrayscaleStyle': ('pygments.styles.friendly_grayscale', 'friendly_grayscale', ()),
+    'FriendlyStyle': ('pygments.styles.friendly', 'friendly', ()),
+    'FruityStyle': ('pygments.styles.fruity', 'fruity', ()),
+    'GhDarkStyle': ('pygments.styles.gh_dark', 'github-dark', ()),
+    'GruvboxDarkStyle': ('pygments.styles.gruvbox', 'gruvbox-dark', ()),
+    'GruvboxLightStyle': ('pygments.styles.gruvbox', 'gruvbox-light', ()),
+    'IgorStyle': ('pygments.styles.igor', 'igor', ()),
+    'InkPotStyle': ('pygments.styles.inkpot', 'inkpot', ()),
+    'LightbulbStyle': ('pygments.styles.lightbulb', 'lightbulb', ()),
+    'LilyPondStyle': ('pygments.styles.lilypond', 'lilypond', ()),
+    'LovelaceStyle': ('pygments.styles.lovelace', 'lovelace', ()),
+    'ManniStyle': ('pygments.styles.manni', 'manni', ()),
+    'MaterialStyle': ('pygments.styles.material', 'material', ()),
+    'MonokaiStyle': ('pygments.styles.monokai', 'monokai', ()),
+    'MurphyStyle': ('pygments.styles.murphy', 'murphy', ()),
+    'NativeStyle': ('pygments.styles.native', 'native', ()),
+    'NordDarkerStyle': ('pygments.styles.nord', 'nord-darker', ()),
+    'NordStyle': ('pygments.styles.nord', 'nord', ()),
+    'OneDarkStyle': ('pygments.styles.onedark', 'one-dark', ()),
+    'ParaisoDarkStyle': ('pygments.styles.paraiso_dark', 'paraiso-dark', ()),
+    'ParaisoLightStyle': ('pygments.styles.paraiso_light', 'paraiso-light', ()),
+    'PastieStyle': ('pygments.styles.pastie', 'pastie', ()),
+    'PerldocStyle': ('pygments.styles.perldoc', 'perldoc', ()),
+    'RainbowDashStyle': ('pygments.styles.rainbow_dash', 'rainbow_dash', ()),
+    'RrtStyle': ('pygments.styles.rrt', 'rrt', ()),
+    'SasStyle': ('pygments.styles.sas', 'sas', ()),
+    'SolarizedDarkStyle': ('pygments.styles.solarized', 'solarized-dark', ()),
+    'SolarizedLightStyle': ('pygments.styles.solarized', 'solarized-light', ()),
+    'StarofficeStyle': ('pygments.styles.staroffice', 'staroffice', ()),
+    'StataDarkStyle': ('pygments.styles.stata_dark', 'stata-dark', ()),
+    'StataLightStyle': ('pygments.styles.stata_light', 'stata-light', ()),
+    'TangoStyle': ('pygments.styles.tango', 'tango', ()),
+    'TracStyle': ('pygments.styles.trac', 'trac', ()),
+    'VimStyle': ('pygments.styles.vim', 'vim', ()),
+    'VisualStudioStyle': ('pygments.styles.vs', 'vs', ()),
+    'XcodeStyle': ('pygments.styles.xcode', 'xcode', ()),
+    'ZenburnStyle': ('pygments.styles.zenburn', 'zenburn', ()),
+}
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/token.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/token.py
new file mode 100644
index 0000000000000000000000000000000000000000..1f756b71130e1c0036d881345ab06968c9f4c464
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/token.py
@@ -0,0 +1,214 @@
+"""
+    pygments.token
+    ~~~~~~~~~~~~~~
+
+    Basic token types and the standard tokens.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+
+class _TokenType(tuple):
+    parent = None
+
+    def split(self):
+        buf = []
+        node = self
+        while node is not None:
+            buf.append(node)
+            node = node.parent
+        buf.reverse()
+        return buf
+
+    def __init__(self, *args):
+        # no need to call super.__init__
+        self.subtypes = set()
+
+    def __contains__(self, val):
+        return self is val or (
+            type(val) is self.__class__ and
+            val[:len(self)] == self
+        )
+
+    def __getattr__(self, val):
+        if not val or not val[0].isupper():
+            return tuple.__getattribute__(self, val)
+        new = _TokenType(self + (val,))
+        setattr(self, val, new)
+        self.subtypes.add(new)
+        new.parent = self
+        return new
+
+    def __repr__(self):
+        return 'Token' + (self and '.' or '') + '.'.join(self)
+
+    def __copy__(self):
+        # These instances are supposed to be singletons
+        return self
+
+    def __deepcopy__(self, memo):
+        # These instances are supposed to be singletons
+        return self
+
+
+Token = _TokenType()
+
+# Special token types
+Text = Token.Text
+Whitespace = Text.Whitespace
+Escape = Token.Escape
+Error = Token.Error
+# Text that doesn't belong to this lexer (e.g. HTML in PHP)
+Other = Token.Other
+
+# Common token types for source code
+Keyword = Token.Keyword
+Name = Token.Name
+Literal = Token.Literal
+String = Literal.String
+Number = Literal.Number
+Punctuation = Token.Punctuation
+Operator = Token.Operator
+Comment = Token.Comment
+
+# Generic types for non-source code
+Generic = Token.Generic
+
+# String and some others are not direct children of Token.
+# alias them:
+Token.Token = Token
+Token.String = String
+Token.Number = Number
+
+
+def is_token_subtype(ttype, other):
+    """
+    Return True if ``ttype`` is a subtype of ``other``.
+
+    exists for backwards compatibility. use ``ttype in other`` now.
+    """
+    return ttype in other
+
+
+def string_to_tokentype(s):
+    """
+    Convert a string into a token type::
+
+        >>> string_to_token('String.Double')
+        Token.Literal.String.Double
+        >>> string_to_token('Token.Literal.Number')
+        Token.Literal.Number
+        >>> string_to_token('')
+        Token
+
+    Tokens that are already tokens are returned unchanged:
+
+        >>> string_to_token(String)
+        Token.Literal.String
+    """
+    if isinstance(s, _TokenType):
+        return s
+    if not s:
+        return Token
+    node = Token
+    for item in s.split('.'):
+        node = getattr(node, item)
+    return node
+
+
+# Map standard token types to short names, used in CSS class naming.
+# If you add a new item, please be sure to run this file to perform
+# a consistency check for duplicate values.
+STANDARD_TYPES = {
+    Token:                         '',
+
+    Text:                          '',
+    Whitespace:                    'w',
+    Escape:                        'esc',
+    Error:                         'err',
+    Other:                         'x',
+
+    Keyword:                       'k',
+    Keyword.Constant:              'kc',
+    Keyword.Declaration:           'kd',
+    Keyword.Namespace:             'kn',
+    Keyword.Pseudo:                'kp',
+    Keyword.Reserved:              'kr',
+    Keyword.Type:                  'kt',
+
+    Name:                          'n',
+    Name.Attribute:                'na',
+    Name.Builtin:                  'nb',
+    Name.Builtin.Pseudo:           'bp',
+    Name.Class:                    'nc',
+    Name.Constant:                 'no',
+    Name.Decorator:                'nd',
+    Name.Entity:                   'ni',
+    Name.Exception:                'ne',
+    Name.Function:                 'nf',
+    Name.Function.Magic:           'fm',
+    Name.Property:                 'py',
+    Name.Label:                    'nl',
+    Name.Namespace:                'nn',
+    Name.Other:                    'nx',
+    Name.Tag:                      'nt',
+    Name.Variable:                 'nv',
+    Name.Variable.Class:           'vc',
+    Name.Variable.Global:          'vg',
+    Name.Variable.Instance:        'vi',
+    Name.Variable.Magic:           'vm',
+
+    Literal:                       'l',
+    Literal.Date:                  'ld',
+
+    String:                        's',
+    String.Affix:                  'sa',
+    String.Backtick:               'sb',
+    String.Char:                   'sc',
+    String.Delimiter:              'dl',
+    String.Doc:                    'sd',
+    String.Double:                 's2',
+    String.Escape:                 'se',
+    String.Heredoc:                'sh',
+    String.Interpol:               'si',
+    String.Other:                  'sx',
+    String.Regex:                  'sr',
+    String.Single:                 's1',
+    String.Symbol:                 'ss',
+
+    Number:                        'm',
+    Number.Bin:                    'mb',
+    Number.Float:                  'mf',
+    Number.Hex:                    'mh',
+    Number.Integer:                'mi',
+    Number.Integer.Long:           'il',
+    Number.Oct:                    'mo',
+
+    Operator:                      'o',
+    Operator.Word:                 'ow',
+
+    Punctuation:                   'p',
+    Punctuation.Marker:            'pm',
+
+    Comment:                       'c',
+    Comment.Hashbang:              'ch',
+    Comment.Multiline:             'cm',
+    Comment.Preproc:               'cp',
+    Comment.PreprocFile:           'cpf',
+    Comment.Single:                'c1',
+    Comment.Special:               'cs',
+
+    Generic:                       'g',
+    Generic.Deleted:               'gd',
+    Generic.Emph:                  'ge',
+    Generic.Error:                 'gr',
+    Generic.Heading:               'gh',
+    Generic.Inserted:              'gi',
+    Generic.Output:                'go',
+    Generic.Prompt:                'gp',
+    Generic.Strong:                'gs',
+    Generic.Subheading:            'gu',
+    Generic.EmphStrong:            'ges',
+    Generic.Traceback:             'gt',
+}
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/unistring.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/unistring.py
new file mode 100644
index 0000000000000000000000000000000000000000..2a326dff8d7c3594b83b17b8a7705a6ddf2f13fa
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/unistring.py
@@ -0,0 +1,153 @@
+"""
+    pygments.unistring
+    ~~~~~~~~~~~~~~~~~~
+
+    Strings of all Unicode characters of a certain category.
+    Used for matching in Unicode-aware languages. Run to regenerate.
+
+    Inspired by chartypes_create.py from the MoinMoin project.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+Cc = '\x00-\x1f\x7f-\x9f'
+
+Cf = '\xad\u0600-\u0605\u061c\u06dd\u070f\u08e2\u180e\u200b-\u200f\u202a-\u202e\u2060-\u2064\u2066-\u206f\ufeff\ufff9-\ufffb\U000110bd\U000110cd\U0001bca0-\U0001bca3\U0001d173-\U0001d17a\U000e0001\U000e0020-\U000e007f'
+
+Cn = '\u0378-\u0379\u0380-\u0383\u038b\u038d\u03a2\u0530\u0557-\u0558\u058b-\u058c\u0590\u05c8-\u05cf\u05eb-\u05ee\u05f5-\u05ff\u061d\u070e\u074b-\u074c\u07b2-\u07bf\u07fb-\u07fc\u082e-\u082f\u083f\u085c-\u085d\u085f\u086b-\u089f\u08b5\u08be-\u08d2\u0984\u098d-\u098e\u0991-\u0992\u09a9\u09b1\u09b3-\u09b5\u09ba-\u09bb\u09c5-\u09c6\u09c9-\u09ca\u09cf-\u09d6\u09d8-\u09db\u09de\u09e4-\u09e5\u09ff-\u0a00\u0a04\u0a0b-\u0a0e\u0a11-\u0a12\u0a29\u0a31\u0a34\u0a37\u0a3a-\u0a3b\u0a3d\u0a43-\u0a46\u0a49-\u0a4a\u0a4e-\u0a50\u0a52-\u0a58\u0a5d\u0a5f-\u0a65\u0a77-\u0a80\u0a84\u0a8e\u0a92\u0aa9\u0ab1\u0ab4\u0aba-\u0abb\u0ac6\u0aca\u0ace-\u0acf\u0ad1-\u0adf\u0ae4-\u0ae5\u0af2-\u0af8\u0b00\u0b04\u0b0d-\u0b0e\u0b11-\u0b12\u0b29\u0b31\u0b34\u0b3a-\u0b3b\u0b45-\u0b46\u0b49-\u0b4a\u0b4e-\u0b55\u0b58-\u0b5b\u0b5e\u0b64-\u0b65\u0b78-\u0b81\u0b84\u0b8b-\u0b8d\u0b91\u0b96-\u0b98\u0b9b\u0b9d\u0ba0-\u0ba2\u0ba5-\u0ba7\u0bab-\u0bad\u0bba-\u0bbd\u0bc3-\u0bc5\u0bc9\u0bce-\u0bcf\u0bd1-\u0bd6\u0bd8-\u0be5\u0bfb-\u0bff\u0c0d\u0c11\u0c29\u0c3a-\u0c3c\u0c45\u0c49\u0c4e-\u0c54\u0c57\u0c5b-\u0c5f\u0c64-\u0c65\u0c70-\u0c77\u0c8d\u0c91\u0ca9\u0cb4\u0cba-\u0cbb\u0cc5\u0cc9\u0cce-\u0cd4\u0cd7-\u0cdd\u0cdf\u0ce4-\u0ce5\u0cf0\u0cf3-\u0cff\u0d04\u0d0d\u0d11\u0d45\u0d49\u0d50-\u0d53\u0d64-\u0d65\u0d80-\u0d81\u0d84\u0d97-\u0d99\u0db2\u0dbc\u0dbe-\u0dbf\u0dc7-\u0dc9\u0dcb-\u0dce\u0dd5\u0dd7\u0de0-\u0de5\u0df0-\u0df1\u0df5-\u0e00\u0e3b-\u0e3e\u0e5c-\u0e80\u0e83\u0e85-\u0e86\u0e89\u0e8b-\u0e8c\u0e8e-\u0e93\u0e98\u0ea0\u0ea4\u0ea6\u0ea8-\u0ea9\u0eac\u0eba\u0ebe-\u0ebf\u0ec5\u0ec7\u0ece-\u0ecf\u0eda-\u0edb\u0ee0-\u0eff\u0f48\u0f6d-\u0f70\u0f98\u0fbd\u0fcd\u0fdb-\u0fff\u10c6\u10c8-\u10cc\u10ce-\u10cf\u1249\u124e-\u124f\u1257\u1259\u125e-\u125f\u1289\u128e-\u128f\u12b1\u12b6-\u12b7\u12bf\u12c1\u12c6-\u12c7\u12d7\u1311\u1316-\u1317\u135b-\u135c\u137d-\u137f\u139a-\u139f\u13f6-\u13f7\u13fe-\u13ff\u169d-\u169f\u16f9-\u16ff\u170d\u1715-\u171f\u1737-\u173f\u1754-\u175f\u176d\u1771\u1774-\u177f\u17de-\u17df\u17ea-\u17ef\u17fa-\u17ff\u180f\u181a-\u181f\u1879-\u187f\u18ab-\u18af\u18f6-\u18ff\u191f\u192c-\u192f\u193c-\u193f\u1941-\u1943\u196e-\u196f\u1975-\u197f\u19ac-\u19af\u19ca-\u19cf\u19db-\u19dd\u1a1c-\u1a1d\u1a5f\u1a7d-\u1a7e\u1a8a-\u1a8f\u1a9a-\u1a9f\u1aae-\u1aaf\u1abf-\u1aff\u1b4c-\u1b4f\u1b7d-\u1b7f\u1bf4-\u1bfb\u1c38-\u1c3a\u1c4a-\u1c4c\u1c89-\u1c8f\u1cbb-\u1cbc\u1cc8-\u1ccf\u1cfa-\u1cff\u1dfa\u1f16-\u1f17\u1f1e-\u1f1f\u1f46-\u1f47\u1f4e-\u1f4f\u1f58\u1f5a\u1f5c\u1f5e\u1f7e-\u1f7f\u1fb5\u1fc5\u1fd4-\u1fd5\u1fdc\u1ff0-\u1ff1\u1ff5\u1fff\u2065\u2072-\u2073\u208f\u209d-\u209f\u20c0-\u20cf\u20f1-\u20ff\u218c-\u218f\u2427-\u243f\u244b-\u245f\u2b74-\u2b75\u2b96-\u2b97\u2bc9\u2bff\u2c2f\u2c5f\u2cf4-\u2cf8\u2d26\u2d28-\u2d2c\u2d2e-\u2d2f\u2d68-\u2d6e\u2d71-\u2d7e\u2d97-\u2d9f\u2da7\u2daf\u2db7\u2dbf\u2dc7\u2dcf\u2dd7\u2ddf\u2e4f-\u2e7f\u2e9a\u2ef4-\u2eff\u2fd6-\u2fef\u2ffc-\u2fff\u3040\u3097-\u3098\u3100-\u3104\u3130\u318f\u31bb-\u31bf\u31e4-\u31ef\u321f\u32ff\u4db6-\u4dbf\u9ff0-\u9fff\ua48d-\ua48f\ua4c7-\ua4cf\ua62c-\ua63f\ua6f8-\ua6ff\ua7ba-\ua7f6\ua82c-\ua82f\ua83a-\ua83f\ua878-\ua87f\ua8c6-\ua8cd\ua8da-\ua8df\ua954-\ua95e\ua97d-\ua97f\ua9ce\ua9da-\ua9dd\ua9ff\uaa37-\uaa3f\uaa4e-\uaa4f\uaa5a-\uaa5b\uaac3-\uaada\uaaf7-\uab00\uab07-\uab08\uab0f-\uab10\uab17-\uab1f\uab27\uab2f\uab66-\uab6f\uabee-\uabef\uabfa-\uabff\ud7a4-\ud7af\ud7c7-\ud7ca\ud7fc-\ud7ff\ufa6e-\ufa6f\ufada-\ufaff\ufb07-\ufb12\ufb18-\ufb1c\ufb37\ufb3d\ufb3f\ufb42\ufb45\ufbc2-\ufbd2\ufd40-\ufd4f\ufd90-\ufd91\ufdc8-\ufdef\ufdfe-\ufdff\ufe1a-\ufe1f\ufe53\ufe67\ufe6c-\ufe6f\ufe75\ufefd-\ufefe\uff00\uffbf-\uffc1\uffc8-\uffc9\uffd0-\uffd1\uffd8-\uffd9\uffdd-\uffdf\uffe7\uffef-\ufff8\ufffe-\uffff\U0001000c\U00010027\U0001003b\U0001003e\U0001004e-\U0001004f\U0001005e-\U0001007f\U000100fb-\U000100ff\U00010103-\U00010106\U00010134-\U00010136\U0001018f\U0001019c-\U0001019f\U000101a1-\U000101cf\U000101fe-\U0001027f\U0001029d-\U0001029f\U000102d1-\U000102df\U000102fc-\U000102ff\U00010324-\U0001032c\U0001034b-\U0001034f\U0001037b-\U0001037f\U0001039e\U000103c4-\U000103c7\U000103d6-\U000103ff\U0001049e-\U0001049f\U000104aa-\U000104af\U000104d4-\U000104d7\U000104fc-\U000104ff\U00010528-\U0001052f\U00010564-\U0001056e\U00010570-\U000105ff\U00010737-\U0001073f\U00010756-\U0001075f\U00010768-\U000107ff\U00010806-\U00010807\U00010809\U00010836\U00010839-\U0001083b\U0001083d-\U0001083e\U00010856\U0001089f-\U000108a6\U000108b0-\U000108df\U000108f3\U000108f6-\U000108fa\U0001091c-\U0001091e\U0001093a-\U0001093e\U00010940-\U0001097f\U000109b8-\U000109bb\U000109d0-\U000109d1\U00010a04\U00010a07-\U00010a0b\U00010a14\U00010a18\U00010a36-\U00010a37\U00010a3b-\U00010a3e\U00010a49-\U00010a4f\U00010a59-\U00010a5f\U00010aa0-\U00010abf\U00010ae7-\U00010aea\U00010af7-\U00010aff\U00010b36-\U00010b38\U00010b56-\U00010b57\U00010b73-\U00010b77\U00010b92-\U00010b98\U00010b9d-\U00010ba8\U00010bb0-\U00010bff\U00010c49-\U00010c7f\U00010cb3-\U00010cbf\U00010cf3-\U00010cf9\U00010d28-\U00010d2f\U00010d3a-\U00010e5f\U00010e7f-\U00010eff\U00010f28-\U00010f2f\U00010f5a-\U00010fff\U0001104e-\U00011051\U00011070-\U0001107e\U000110c2-\U000110cc\U000110ce-\U000110cf\U000110e9-\U000110ef\U000110fa-\U000110ff\U00011135\U00011147-\U0001114f\U00011177-\U0001117f\U000111ce-\U000111cf\U000111e0\U000111f5-\U000111ff\U00011212\U0001123f-\U0001127f\U00011287\U00011289\U0001128e\U0001129e\U000112aa-\U000112af\U000112eb-\U000112ef\U000112fa-\U000112ff\U00011304\U0001130d-\U0001130e\U00011311-\U00011312\U00011329\U00011331\U00011334\U0001133a\U00011345-\U00011346\U00011349-\U0001134a\U0001134e-\U0001134f\U00011351-\U00011356\U00011358-\U0001135c\U00011364-\U00011365\U0001136d-\U0001136f\U00011375-\U000113ff\U0001145a\U0001145c\U0001145f-\U0001147f\U000114c8-\U000114cf\U000114da-\U0001157f\U000115b6-\U000115b7\U000115de-\U000115ff\U00011645-\U0001164f\U0001165a-\U0001165f\U0001166d-\U0001167f\U000116b8-\U000116bf\U000116ca-\U000116ff\U0001171b-\U0001171c\U0001172c-\U0001172f\U00011740-\U000117ff\U0001183c-\U0001189f\U000118f3-\U000118fe\U00011900-\U000119ff\U00011a48-\U00011a4f\U00011a84-\U00011a85\U00011aa3-\U00011abf\U00011af9-\U00011bff\U00011c09\U00011c37\U00011c46-\U00011c4f\U00011c6d-\U00011c6f\U00011c90-\U00011c91\U00011ca8\U00011cb7-\U00011cff\U00011d07\U00011d0a\U00011d37-\U00011d39\U00011d3b\U00011d3e\U00011d48-\U00011d4f\U00011d5a-\U00011d5f\U00011d66\U00011d69\U00011d8f\U00011d92\U00011d99-\U00011d9f\U00011daa-\U00011edf\U00011ef9-\U00011fff\U0001239a-\U000123ff\U0001246f\U00012475-\U0001247f\U00012544-\U00012fff\U0001342f-\U000143ff\U00014647-\U000167ff\U00016a39-\U00016a3f\U00016a5f\U00016a6a-\U00016a6d\U00016a70-\U00016acf\U00016aee-\U00016aef\U00016af6-\U00016aff\U00016b46-\U00016b4f\U00016b5a\U00016b62\U00016b78-\U00016b7c\U00016b90-\U00016e3f\U00016e9b-\U00016eff\U00016f45-\U00016f4f\U00016f7f-\U00016f8e\U00016fa0-\U00016fdf\U00016fe2-\U00016fff\U000187f2-\U000187ff\U00018af3-\U0001afff\U0001b11f-\U0001b16f\U0001b2fc-\U0001bbff\U0001bc6b-\U0001bc6f\U0001bc7d-\U0001bc7f\U0001bc89-\U0001bc8f\U0001bc9a-\U0001bc9b\U0001bca4-\U0001cfff\U0001d0f6-\U0001d0ff\U0001d127-\U0001d128\U0001d1e9-\U0001d1ff\U0001d246-\U0001d2df\U0001d2f4-\U0001d2ff\U0001d357-\U0001d35f\U0001d379-\U0001d3ff\U0001d455\U0001d49d\U0001d4a0-\U0001d4a1\U0001d4a3-\U0001d4a4\U0001d4a7-\U0001d4a8\U0001d4ad\U0001d4ba\U0001d4bc\U0001d4c4\U0001d506\U0001d50b-\U0001d50c\U0001d515\U0001d51d\U0001d53a\U0001d53f\U0001d545\U0001d547-\U0001d549\U0001d551\U0001d6a6-\U0001d6a7\U0001d7cc-\U0001d7cd\U0001da8c-\U0001da9a\U0001daa0\U0001dab0-\U0001dfff\U0001e007\U0001e019-\U0001e01a\U0001e022\U0001e025\U0001e02b-\U0001e7ff\U0001e8c5-\U0001e8c6\U0001e8d7-\U0001e8ff\U0001e94b-\U0001e94f\U0001e95a-\U0001e95d\U0001e960-\U0001ec70\U0001ecb5-\U0001edff\U0001ee04\U0001ee20\U0001ee23\U0001ee25-\U0001ee26\U0001ee28\U0001ee33\U0001ee38\U0001ee3a\U0001ee3c-\U0001ee41\U0001ee43-\U0001ee46\U0001ee48\U0001ee4a\U0001ee4c\U0001ee50\U0001ee53\U0001ee55-\U0001ee56\U0001ee58\U0001ee5a\U0001ee5c\U0001ee5e\U0001ee60\U0001ee63\U0001ee65-\U0001ee66\U0001ee6b\U0001ee73\U0001ee78\U0001ee7d\U0001ee7f\U0001ee8a\U0001ee9c-\U0001eea0\U0001eea4\U0001eeaa\U0001eebc-\U0001eeef\U0001eef2-\U0001efff\U0001f02c-\U0001f02f\U0001f094-\U0001f09f\U0001f0af-\U0001f0b0\U0001f0c0\U0001f0d0\U0001f0f6-\U0001f0ff\U0001f10d-\U0001f10f\U0001f16c-\U0001f16f\U0001f1ad-\U0001f1e5\U0001f203-\U0001f20f\U0001f23c-\U0001f23f\U0001f249-\U0001f24f\U0001f252-\U0001f25f\U0001f266-\U0001f2ff\U0001f6d5-\U0001f6df\U0001f6ed-\U0001f6ef\U0001f6fa-\U0001f6ff\U0001f774-\U0001f77f\U0001f7d9-\U0001f7ff\U0001f80c-\U0001f80f\U0001f848-\U0001f84f\U0001f85a-\U0001f85f\U0001f888-\U0001f88f\U0001f8ae-\U0001f8ff\U0001f90c-\U0001f90f\U0001f93f\U0001f971-\U0001f972\U0001f977-\U0001f979\U0001f97b\U0001f9a3-\U0001f9af\U0001f9ba-\U0001f9bf\U0001f9c3-\U0001f9cf\U0001fa00-\U0001fa5f\U0001fa6e-\U0001ffff\U0002a6d7-\U0002a6ff\U0002b735-\U0002b73f\U0002b81e-\U0002b81f\U0002cea2-\U0002ceaf\U0002ebe1-\U0002f7ff\U0002fa1e-\U000e0000\U000e0002-\U000e001f\U000e0080-\U000e00ff\U000e01f0-\U000effff\U000ffffe-\U000fffff\U0010fffe-\U0010ffff'
+
+Co = '\ue000-\uf8ff\U000f0000-\U000ffffd\U00100000-\U0010fffd'
+
+Cs = '\ud800-\udbff\\\udc00\udc01-\udfff'
+
+Ll = 'a-z\xb5\xdf-\xf6\xf8-\xff\u0101\u0103\u0105\u0107\u0109\u010b\u010d\u010f\u0111\u0113\u0115\u0117\u0119\u011b\u011d\u011f\u0121\u0123\u0125\u0127\u0129\u012b\u012d\u012f\u0131\u0133\u0135\u0137-\u0138\u013a\u013c\u013e\u0140\u0142\u0144\u0146\u0148-\u0149\u014b\u014d\u014f\u0151\u0153\u0155\u0157\u0159\u015b\u015d\u015f\u0161\u0163\u0165\u0167\u0169\u016b\u016d\u016f\u0171\u0173\u0175\u0177\u017a\u017c\u017e-\u0180\u0183\u0185\u0188\u018c-\u018d\u0192\u0195\u0199-\u019b\u019e\u01a1\u01a3\u01a5\u01a8\u01aa-\u01ab\u01ad\u01b0\u01b4\u01b6\u01b9-\u01ba\u01bd-\u01bf\u01c6\u01c9\u01cc\u01ce\u01d0\u01d2\u01d4\u01d6\u01d8\u01da\u01dc-\u01dd\u01df\u01e1\u01e3\u01e5\u01e7\u01e9\u01eb\u01ed\u01ef-\u01f0\u01f3\u01f5\u01f9\u01fb\u01fd\u01ff\u0201\u0203\u0205\u0207\u0209\u020b\u020d\u020f\u0211\u0213\u0215\u0217\u0219\u021b\u021d\u021f\u0221\u0223\u0225\u0227\u0229\u022b\u022d\u022f\u0231\u0233-\u0239\u023c\u023f-\u0240\u0242\u0247\u0249\u024b\u024d\u024f-\u0293\u0295-\u02af\u0371\u0373\u0377\u037b-\u037d\u0390\u03ac-\u03ce\u03d0-\u03d1\u03d5-\u03d7\u03d9\u03db\u03dd\u03df\u03e1\u03e3\u03e5\u03e7\u03e9\u03eb\u03ed\u03ef-\u03f3\u03f5\u03f8\u03fb-\u03fc\u0430-\u045f\u0461\u0463\u0465\u0467\u0469\u046b\u046d\u046f\u0471\u0473\u0475\u0477\u0479\u047b\u047d\u047f\u0481\u048b\u048d\u048f\u0491\u0493\u0495\u0497\u0499\u049b\u049d\u049f\u04a1\u04a3\u04a5\u04a7\u04a9\u04ab\u04ad\u04af\u04b1\u04b3\u04b5\u04b7\u04b9\u04bb\u04bd\u04bf\u04c2\u04c4\u04c6\u04c8\u04ca\u04cc\u04ce-\u04cf\u04d1\u04d3\u04d5\u04d7\u04d9\u04db\u04dd\u04df\u04e1\u04e3\u04e5\u04e7\u04e9\u04eb\u04ed\u04ef\u04f1\u04f3\u04f5\u04f7\u04f9\u04fb\u04fd\u04ff\u0501\u0503\u0505\u0507\u0509\u050b\u050d\u050f\u0511\u0513\u0515\u0517\u0519\u051b\u051d\u051f\u0521\u0523\u0525\u0527\u0529\u052b\u052d\u052f\u0560-\u0588\u10d0-\u10fa\u10fd-\u10ff\u13f8-\u13fd\u1c80-\u1c88\u1d00-\u1d2b\u1d6b-\u1d77\u1d79-\u1d9a\u1e01\u1e03\u1e05\u1e07\u1e09\u1e0b\u1e0d\u1e0f\u1e11\u1e13\u1e15\u1e17\u1e19\u1e1b\u1e1d\u1e1f\u1e21\u1e23\u1e25\u1e27\u1e29\u1e2b\u1e2d\u1e2f\u1e31\u1e33\u1e35\u1e37\u1e39\u1e3b\u1e3d\u1e3f\u1e41\u1e43\u1e45\u1e47\u1e49\u1e4b\u1e4d\u1e4f\u1e51\u1e53\u1e55\u1e57\u1e59\u1e5b\u1e5d\u1e5f\u1e61\u1e63\u1e65\u1e67\u1e69\u1e6b\u1e6d\u1e6f\u1e71\u1e73\u1e75\u1e77\u1e79\u1e7b\u1e7d\u1e7f\u1e81\u1e83\u1e85\u1e87\u1e89\u1e8b\u1e8d\u1e8f\u1e91\u1e93\u1e95-\u1e9d\u1e9f\u1ea1\u1ea3\u1ea5\u1ea7\u1ea9\u1eab\u1ead\u1eaf\u1eb1\u1eb3\u1eb5\u1eb7\u1eb9\u1ebb\u1ebd\u1ebf\u1ec1\u1ec3\u1ec5\u1ec7\u1ec9\u1ecb\u1ecd\u1ecf\u1ed1\u1ed3\u1ed5\u1ed7\u1ed9\u1edb\u1edd\u1edf\u1ee1\u1ee3\u1ee5\u1ee7\u1ee9\u1eeb\u1eed\u1eef\u1ef1\u1ef3\u1ef5\u1ef7\u1ef9\u1efb\u1efd\u1eff-\u1f07\u1f10-\u1f15\u1f20-\u1f27\u1f30-\u1f37\u1f40-\u1f45\u1f50-\u1f57\u1f60-\u1f67\u1f70-\u1f7d\u1f80-\u1f87\u1f90-\u1f97\u1fa0-\u1fa7\u1fb0-\u1fb4\u1fb6-\u1fb7\u1fbe\u1fc2-\u1fc4\u1fc6-\u1fc7\u1fd0-\u1fd3\u1fd6-\u1fd7\u1fe0-\u1fe7\u1ff2-\u1ff4\u1ff6-\u1ff7\u210a\u210e-\u210f\u2113\u212f\u2134\u2139\u213c-\u213d\u2146-\u2149\u214e\u2184\u2c30-\u2c5e\u2c61\u2c65-\u2c66\u2c68\u2c6a\u2c6c\u2c71\u2c73-\u2c74\u2c76-\u2c7b\u2c81\u2c83\u2c85\u2c87\u2c89\u2c8b\u2c8d\u2c8f\u2c91\u2c93\u2c95\u2c97\u2c99\u2c9b\u2c9d\u2c9f\u2ca1\u2ca3\u2ca5\u2ca7\u2ca9\u2cab\u2cad\u2caf\u2cb1\u2cb3\u2cb5\u2cb7\u2cb9\u2cbb\u2cbd\u2cbf\u2cc1\u2cc3\u2cc5\u2cc7\u2cc9\u2ccb\u2ccd\u2ccf\u2cd1\u2cd3\u2cd5\u2cd7\u2cd9\u2cdb\u2cdd\u2cdf\u2ce1\u2ce3-\u2ce4\u2cec\u2cee\u2cf3\u2d00-\u2d25\u2d27\u2d2d\ua641\ua643\ua645\ua647\ua649\ua64b\ua64d\ua64f\ua651\ua653\ua655\ua657\ua659\ua65b\ua65d\ua65f\ua661\ua663\ua665\ua667\ua669\ua66b\ua66d\ua681\ua683\ua685\ua687\ua689\ua68b\ua68d\ua68f\ua691\ua693\ua695\ua697\ua699\ua69b\ua723\ua725\ua727\ua729\ua72b\ua72d\ua72f-\ua731\ua733\ua735\ua737\ua739\ua73b\ua73d\ua73f\ua741\ua743\ua745\ua747\ua749\ua74b\ua74d\ua74f\ua751\ua753\ua755\ua757\ua759\ua75b\ua75d\ua75f\ua761\ua763\ua765\ua767\ua769\ua76b\ua76d\ua76f\ua771-\ua778\ua77a\ua77c\ua77f\ua781\ua783\ua785\ua787\ua78c\ua78e\ua791\ua793-\ua795\ua797\ua799\ua79b\ua79d\ua79f\ua7a1\ua7a3\ua7a5\ua7a7\ua7a9\ua7af\ua7b5\ua7b7\ua7b9\ua7fa\uab30-\uab5a\uab60-\uab65\uab70-\uabbf\ufb00-\ufb06\ufb13-\ufb17\uff41-\uff5a\U00010428-\U0001044f\U000104d8-\U000104fb\U00010cc0-\U00010cf2\U000118c0-\U000118df\U00016e60-\U00016e7f\U0001d41a-\U0001d433\U0001d44e-\U0001d454\U0001d456-\U0001d467\U0001d482-\U0001d49b\U0001d4b6-\U0001d4b9\U0001d4bb\U0001d4bd-\U0001d4c3\U0001d4c5-\U0001d4cf\U0001d4ea-\U0001d503\U0001d51e-\U0001d537\U0001d552-\U0001d56b\U0001d586-\U0001d59f\U0001d5ba-\U0001d5d3\U0001d5ee-\U0001d607\U0001d622-\U0001d63b\U0001d656-\U0001d66f\U0001d68a-\U0001d6a5\U0001d6c2-\U0001d6da\U0001d6dc-\U0001d6e1\U0001d6fc-\U0001d714\U0001d716-\U0001d71b\U0001d736-\U0001d74e\U0001d750-\U0001d755\U0001d770-\U0001d788\U0001d78a-\U0001d78f\U0001d7aa-\U0001d7c2\U0001d7c4-\U0001d7c9\U0001d7cb\U0001e922-\U0001e943'
+
+Lm = '\u02b0-\u02c1\u02c6-\u02d1\u02e0-\u02e4\u02ec\u02ee\u0374\u037a\u0559\u0640\u06e5-\u06e6\u07f4-\u07f5\u07fa\u081a\u0824\u0828\u0971\u0e46\u0ec6\u10fc\u17d7\u1843\u1aa7\u1c78-\u1c7d\u1d2c-\u1d6a\u1d78\u1d9b-\u1dbf\u2071\u207f\u2090-\u209c\u2c7c-\u2c7d\u2d6f\u2e2f\u3005\u3031-\u3035\u303b\u309d-\u309e\u30fc-\u30fe\ua015\ua4f8-\ua4fd\ua60c\ua67f\ua69c-\ua69d\ua717-\ua71f\ua770\ua788\ua7f8-\ua7f9\ua9cf\ua9e6\uaa70\uaadd\uaaf3-\uaaf4\uab5c-\uab5f\uff70\uff9e-\uff9f\U00016b40-\U00016b43\U00016f93-\U00016f9f\U00016fe0-\U00016fe1'
+
+Lo = '\xaa\xba\u01bb\u01c0-\u01c3\u0294\u05d0-\u05ea\u05ef-\u05f2\u0620-\u063f\u0641-\u064a\u066e-\u066f\u0671-\u06d3\u06d5\u06ee-\u06ef\u06fa-\u06fc\u06ff\u0710\u0712-\u072f\u074d-\u07a5\u07b1\u07ca-\u07ea\u0800-\u0815\u0840-\u0858\u0860-\u086a\u08a0-\u08b4\u08b6-\u08bd\u0904-\u0939\u093d\u0950\u0958-\u0961\u0972-\u0980\u0985-\u098c\u098f-\u0990\u0993-\u09a8\u09aa-\u09b0\u09b2\u09b6-\u09b9\u09bd\u09ce\u09dc-\u09dd\u09df-\u09e1\u09f0-\u09f1\u09fc\u0a05-\u0a0a\u0a0f-\u0a10\u0a13-\u0a28\u0a2a-\u0a30\u0a32-\u0a33\u0a35-\u0a36\u0a38-\u0a39\u0a59-\u0a5c\u0a5e\u0a72-\u0a74\u0a85-\u0a8d\u0a8f-\u0a91\u0a93-\u0aa8\u0aaa-\u0ab0\u0ab2-\u0ab3\u0ab5-\u0ab9\u0abd\u0ad0\u0ae0-\u0ae1\u0af9\u0b05-\u0b0c\u0b0f-\u0b10\u0b13-\u0b28\u0b2a-\u0b30\u0b32-\u0b33\u0b35-\u0b39\u0b3d\u0b5c-\u0b5d\u0b5f-\u0b61\u0b71\u0b83\u0b85-\u0b8a\u0b8e-\u0b90\u0b92-\u0b95\u0b99-\u0b9a\u0b9c\u0b9e-\u0b9f\u0ba3-\u0ba4\u0ba8-\u0baa\u0bae-\u0bb9\u0bd0\u0c05-\u0c0c\u0c0e-\u0c10\u0c12-\u0c28\u0c2a-\u0c39\u0c3d\u0c58-\u0c5a\u0c60-\u0c61\u0c80\u0c85-\u0c8c\u0c8e-\u0c90\u0c92-\u0ca8\u0caa-\u0cb3\u0cb5-\u0cb9\u0cbd\u0cde\u0ce0-\u0ce1\u0cf1-\u0cf2\u0d05-\u0d0c\u0d0e-\u0d10\u0d12-\u0d3a\u0d3d\u0d4e\u0d54-\u0d56\u0d5f-\u0d61\u0d7a-\u0d7f\u0d85-\u0d96\u0d9a-\u0db1\u0db3-\u0dbb\u0dbd\u0dc0-\u0dc6\u0e01-\u0e30\u0e32-\u0e33\u0e40-\u0e45\u0e81-\u0e82\u0e84\u0e87-\u0e88\u0e8a\u0e8d\u0e94-\u0e97\u0e99-\u0e9f\u0ea1-\u0ea3\u0ea5\u0ea7\u0eaa-\u0eab\u0ead-\u0eb0\u0eb2-\u0eb3\u0ebd\u0ec0-\u0ec4\u0edc-\u0edf\u0f00\u0f40-\u0f47\u0f49-\u0f6c\u0f88-\u0f8c\u1000-\u102a\u103f\u1050-\u1055\u105a-\u105d\u1061\u1065-\u1066\u106e-\u1070\u1075-\u1081\u108e\u1100-\u1248\u124a-\u124d\u1250-\u1256\u1258\u125a-\u125d\u1260-\u1288\u128a-\u128d\u1290-\u12b0\u12b2-\u12b5\u12b8-\u12be\u12c0\u12c2-\u12c5\u12c8-\u12d6\u12d8-\u1310\u1312-\u1315\u1318-\u135a\u1380-\u138f\u1401-\u166c\u166f-\u167f\u1681-\u169a\u16a0-\u16ea\u16f1-\u16f8\u1700-\u170c\u170e-\u1711\u1720-\u1731\u1740-\u1751\u1760-\u176c\u176e-\u1770\u1780-\u17b3\u17dc\u1820-\u1842\u1844-\u1878\u1880-\u1884\u1887-\u18a8\u18aa\u18b0-\u18f5\u1900-\u191e\u1950-\u196d\u1970-\u1974\u1980-\u19ab\u19b0-\u19c9\u1a00-\u1a16\u1a20-\u1a54\u1b05-\u1b33\u1b45-\u1b4b\u1b83-\u1ba0\u1bae-\u1baf\u1bba-\u1be5\u1c00-\u1c23\u1c4d-\u1c4f\u1c5a-\u1c77\u1ce9-\u1cec\u1cee-\u1cf1\u1cf5-\u1cf6\u2135-\u2138\u2d30-\u2d67\u2d80-\u2d96\u2da0-\u2da6\u2da8-\u2dae\u2db0-\u2db6\u2db8-\u2dbe\u2dc0-\u2dc6\u2dc8-\u2dce\u2dd0-\u2dd6\u2dd8-\u2dde\u3006\u303c\u3041-\u3096\u309f\u30a1-\u30fa\u30ff\u3105-\u312f\u3131-\u318e\u31a0-\u31ba\u31f0-\u31ff\u3400-\u4db5\u4e00-\u9fef\ua000-\ua014\ua016-\ua48c\ua4d0-\ua4f7\ua500-\ua60b\ua610-\ua61f\ua62a-\ua62b\ua66e\ua6a0-\ua6e5\ua78f\ua7f7\ua7fb-\ua801\ua803-\ua805\ua807-\ua80a\ua80c-\ua822\ua840-\ua873\ua882-\ua8b3\ua8f2-\ua8f7\ua8fb\ua8fd-\ua8fe\ua90a-\ua925\ua930-\ua946\ua960-\ua97c\ua984-\ua9b2\ua9e0-\ua9e4\ua9e7-\ua9ef\ua9fa-\ua9fe\uaa00-\uaa28\uaa40-\uaa42\uaa44-\uaa4b\uaa60-\uaa6f\uaa71-\uaa76\uaa7a\uaa7e-\uaaaf\uaab1\uaab5-\uaab6\uaab9-\uaabd\uaac0\uaac2\uaadb-\uaadc\uaae0-\uaaea\uaaf2\uab01-\uab06\uab09-\uab0e\uab11-\uab16\uab20-\uab26\uab28-\uab2e\uabc0-\uabe2\uac00-\ud7a3\ud7b0-\ud7c6\ud7cb-\ud7fb\uf900-\ufa6d\ufa70-\ufad9\ufb1d\ufb1f-\ufb28\ufb2a-\ufb36\ufb38-\ufb3c\ufb3e\ufb40-\ufb41\ufb43-\ufb44\ufb46-\ufbb1\ufbd3-\ufd3d\ufd50-\ufd8f\ufd92-\ufdc7\ufdf0-\ufdfb\ufe70-\ufe74\ufe76-\ufefc\uff66-\uff6f\uff71-\uff9d\uffa0-\uffbe\uffc2-\uffc7\uffca-\uffcf\uffd2-\uffd7\uffda-\uffdc\U00010000-\U0001000b\U0001000d-\U00010026\U00010028-\U0001003a\U0001003c-\U0001003d\U0001003f-\U0001004d\U00010050-\U0001005d\U00010080-\U000100fa\U00010280-\U0001029c\U000102a0-\U000102d0\U00010300-\U0001031f\U0001032d-\U00010340\U00010342-\U00010349\U00010350-\U00010375\U00010380-\U0001039d\U000103a0-\U000103c3\U000103c8-\U000103cf\U00010450-\U0001049d\U00010500-\U00010527\U00010530-\U00010563\U00010600-\U00010736\U00010740-\U00010755\U00010760-\U00010767\U00010800-\U00010805\U00010808\U0001080a-\U00010835\U00010837-\U00010838\U0001083c\U0001083f-\U00010855\U00010860-\U00010876\U00010880-\U0001089e\U000108e0-\U000108f2\U000108f4-\U000108f5\U00010900-\U00010915\U00010920-\U00010939\U00010980-\U000109b7\U000109be-\U000109bf\U00010a00\U00010a10-\U00010a13\U00010a15-\U00010a17\U00010a19-\U00010a35\U00010a60-\U00010a7c\U00010a80-\U00010a9c\U00010ac0-\U00010ac7\U00010ac9-\U00010ae4\U00010b00-\U00010b35\U00010b40-\U00010b55\U00010b60-\U00010b72\U00010b80-\U00010b91\U00010c00-\U00010c48\U00010d00-\U00010d23\U00010f00-\U00010f1c\U00010f27\U00010f30-\U00010f45\U00011003-\U00011037\U00011083-\U000110af\U000110d0-\U000110e8\U00011103-\U00011126\U00011144\U00011150-\U00011172\U00011176\U00011183-\U000111b2\U000111c1-\U000111c4\U000111da\U000111dc\U00011200-\U00011211\U00011213-\U0001122b\U00011280-\U00011286\U00011288\U0001128a-\U0001128d\U0001128f-\U0001129d\U0001129f-\U000112a8\U000112b0-\U000112de\U00011305-\U0001130c\U0001130f-\U00011310\U00011313-\U00011328\U0001132a-\U00011330\U00011332-\U00011333\U00011335-\U00011339\U0001133d\U00011350\U0001135d-\U00011361\U00011400-\U00011434\U00011447-\U0001144a\U00011480-\U000114af\U000114c4-\U000114c5\U000114c7\U00011580-\U000115ae\U000115d8-\U000115db\U00011600-\U0001162f\U00011644\U00011680-\U000116aa\U00011700-\U0001171a\U00011800-\U0001182b\U000118ff\U00011a00\U00011a0b-\U00011a32\U00011a3a\U00011a50\U00011a5c-\U00011a83\U00011a86-\U00011a89\U00011a9d\U00011ac0-\U00011af8\U00011c00-\U00011c08\U00011c0a-\U00011c2e\U00011c40\U00011c72-\U00011c8f\U00011d00-\U00011d06\U00011d08-\U00011d09\U00011d0b-\U00011d30\U00011d46\U00011d60-\U00011d65\U00011d67-\U00011d68\U00011d6a-\U00011d89\U00011d98\U00011ee0-\U00011ef2\U00012000-\U00012399\U00012480-\U00012543\U00013000-\U0001342e\U00014400-\U00014646\U00016800-\U00016a38\U00016a40-\U00016a5e\U00016ad0-\U00016aed\U00016b00-\U00016b2f\U00016b63-\U00016b77\U00016b7d-\U00016b8f\U00016f00-\U00016f44\U00016f50\U00017000-\U000187f1\U00018800-\U00018af2\U0001b000-\U0001b11e\U0001b170-\U0001b2fb\U0001bc00-\U0001bc6a\U0001bc70-\U0001bc7c\U0001bc80-\U0001bc88\U0001bc90-\U0001bc99\U0001e800-\U0001e8c4\U0001ee00-\U0001ee03\U0001ee05-\U0001ee1f\U0001ee21-\U0001ee22\U0001ee24\U0001ee27\U0001ee29-\U0001ee32\U0001ee34-\U0001ee37\U0001ee39\U0001ee3b\U0001ee42\U0001ee47\U0001ee49\U0001ee4b\U0001ee4d-\U0001ee4f\U0001ee51-\U0001ee52\U0001ee54\U0001ee57\U0001ee59\U0001ee5b\U0001ee5d\U0001ee5f\U0001ee61-\U0001ee62\U0001ee64\U0001ee67-\U0001ee6a\U0001ee6c-\U0001ee72\U0001ee74-\U0001ee77\U0001ee79-\U0001ee7c\U0001ee7e\U0001ee80-\U0001ee89\U0001ee8b-\U0001ee9b\U0001eea1-\U0001eea3\U0001eea5-\U0001eea9\U0001eeab-\U0001eebb\U00020000-\U0002a6d6\U0002a700-\U0002b734\U0002b740-\U0002b81d\U0002b820-\U0002cea1\U0002ceb0-\U0002ebe0\U0002f800-\U0002fa1d'
+
+Lt = '\u01c5\u01c8\u01cb\u01f2\u1f88-\u1f8f\u1f98-\u1f9f\u1fa8-\u1faf\u1fbc\u1fcc\u1ffc'
+
+Lu = 'A-Z\xc0-\xd6\xd8-\xde\u0100\u0102\u0104\u0106\u0108\u010a\u010c\u010e\u0110\u0112\u0114\u0116\u0118\u011a\u011c\u011e\u0120\u0122\u0124\u0126\u0128\u012a\u012c\u012e\u0130\u0132\u0134\u0136\u0139\u013b\u013d\u013f\u0141\u0143\u0145\u0147\u014a\u014c\u014e\u0150\u0152\u0154\u0156\u0158\u015a\u015c\u015e\u0160\u0162\u0164\u0166\u0168\u016a\u016c\u016e\u0170\u0172\u0174\u0176\u0178-\u0179\u017b\u017d\u0181-\u0182\u0184\u0186-\u0187\u0189-\u018b\u018e-\u0191\u0193-\u0194\u0196-\u0198\u019c-\u019d\u019f-\u01a0\u01a2\u01a4\u01a6-\u01a7\u01a9\u01ac\u01ae-\u01af\u01b1-\u01b3\u01b5\u01b7-\u01b8\u01bc\u01c4\u01c7\u01ca\u01cd\u01cf\u01d1\u01d3\u01d5\u01d7\u01d9\u01db\u01de\u01e0\u01e2\u01e4\u01e6\u01e8\u01ea\u01ec\u01ee\u01f1\u01f4\u01f6-\u01f8\u01fa\u01fc\u01fe\u0200\u0202\u0204\u0206\u0208\u020a\u020c\u020e\u0210\u0212\u0214\u0216\u0218\u021a\u021c\u021e\u0220\u0222\u0224\u0226\u0228\u022a\u022c\u022e\u0230\u0232\u023a-\u023b\u023d-\u023e\u0241\u0243-\u0246\u0248\u024a\u024c\u024e\u0370\u0372\u0376\u037f\u0386\u0388-\u038a\u038c\u038e-\u038f\u0391-\u03a1\u03a3-\u03ab\u03cf\u03d2-\u03d4\u03d8\u03da\u03dc\u03de\u03e0\u03e2\u03e4\u03e6\u03e8\u03ea\u03ec\u03ee\u03f4\u03f7\u03f9-\u03fa\u03fd-\u042f\u0460\u0462\u0464\u0466\u0468\u046a\u046c\u046e\u0470\u0472\u0474\u0476\u0478\u047a\u047c\u047e\u0480\u048a\u048c\u048e\u0490\u0492\u0494\u0496\u0498\u049a\u049c\u049e\u04a0\u04a2\u04a4\u04a6\u04a8\u04aa\u04ac\u04ae\u04b0\u04b2\u04b4\u04b6\u04b8\u04ba\u04bc\u04be\u04c0-\u04c1\u04c3\u04c5\u04c7\u04c9\u04cb\u04cd\u04d0\u04d2\u04d4\u04d6\u04d8\u04da\u04dc\u04de\u04e0\u04e2\u04e4\u04e6\u04e8\u04ea\u04ec\u04ee\u04f0\u04f2\u04f4\u04f6\u04f8\u04fa\u04fc\u04fe\u0500\u0502\u0504\u0506\u0508\u050a\u050c\u050e\u0510\u0512\u0514\u0516\u0518\u051a\u051c\u051e\u0520\u0522\u0524\u0526\u0528\u052a\u052c\u052e\u0531-\u0556\u10a0-\u10c5\u10c7\u10cd\u13a0-\u13f5\u1c90-\u1cba\u1cbd-\u1cbf\u1e00\u1e02\u1e04\u1e06\u1e08\u1e0a\u1e0c\u1e0e\u1e10\u1e12\u1e14\u1e16\u1e18\u1e1a\u1e1c\u1e1e\u1e20\u1e22\u1e24\u1e26\u1e28\u1e2a\u1e2c\u1e2e\u1e30\u1e32\u1e34\u1e36\u1e38\u1e3a\u1e3c\u1e3e\u1e40\u1e42\u1e44\u1e46\u1e48\u1e4a\u1e4c\u1e4e\u1e50\u1e52\u1e54\u1e56\u1e58\u1e5a\u1e5c\u1e5e\u1e60\u1e62\u1e64\u1e66\u1e68\u1e6a\u1e6c\u1e6e\u1e70\u1e72\u1e74\u1e76\u1e78\u1e7a\u1e7c\u1e7e\u1e80\u1e82\u1e84\u1e86\u1e88\u1e8a\u1e8c\u1e8e\u1e90\u1e92\u1e94\u1e9e\u1ea0\u1ea2\u1ea4\u1ea6\u1ea8\u1eaa\u1eac\u1eae\u1eb0\u1eb2\u1eb4\u1eb6\u1eb8\u1eba\u1ebc\u1ebe\u1ec0\u1ec2\u1ec4\u1ec6\u1ec8\u1eca\u1ecc\u1ece\u1ed0\u1ed2\u1ed4\u1ed6\u1ed8\u1eda\u1edc\u1ede\u1ee0\u1ee2\u1ee4\u1ee6\u1ee8\u1eea\u1eec\u1eee\u1ef0\u1ef2\u1ef4\u1ef6\u1ef8\u1efa\u1efc\u1efe\u1f08-\u1f0f\u1f18-\u1f1d\u1f28-\u1f2f\u1f38-\u1f3f\u1f48-\u1f4d\u1f59\u1f5b\u1f5d\u1f5f\u1f68-\u1f6f\u1fb8-\u1fbb\u1fc8-\u1fcb\u1fd8-\u1fdb\u1fe8-\u1fec\u1ff8-\u1ffb\u2102\u2107\u210b-\u210d\u2110-\u2112\u2115\u2119-\u211d\u2124\u2126\u2128\u212a-\u212d\u2130-\u2133\u213e-\u213f\u2145\u2183\u2c00-\u2c2e\u2c60\u2c62-\u2c64\u2c67\u2c69\u2c6b\u2c6d-\u2c70\u2c72\u2c75\u2c7e-\u2c80\u2c82\u2c84\u2c86\u2c88\u2c8a\u2c8c\u2c8e\u2c90\u2c92\u2c94\u2c96\u2c98\u2c9a\u2c9c\u2c9e\u2ca0\u2ca2\u2ca4\u2ca6\u2ca8\u2caa\u2cac\u2cae\u2cb0\u2cb2\u2cb4\u2cb6\u2cb8\u2cba\u2cbc\u2cbe\u2cc0\u2cc2\u2cc4\u2cc6\u2cc8\u2cca\u2ccc\u2cce\u2cd0\u2cd2\u2cd4\u2cd6\u2cd8\u2cda\u2cdc\u2cde\u2ce0\u2ce2\u2ceb\u2ced\u2cf2\ua640\ua642\ua644\ua646\ua648\ua64a\ua64c\ua64e\ua650\ua652\ua654\ua656\ua658\ua65a\ua65c\ua65e\ua660\ua662\ua664\ua666\ua668\ua66a\ua66c\ua680\ua682\ua684\ua686\ua688\ua68a\ua68c\ua68e\ua690\ua692\ua694\ua696\ua698\ua69a\ua722\ua724\ua726\ua728\ua72a\ua72c\ua72e\ua732\ua734\ua736\ua738\ua73a\ua73c\ua73e\ua740\ua742\ua744\ua746\ua748\ua74a\ua74c\ua74e\ua750\ua752\ua754\ua756\ua758\ua75a\ua75c\ua75e\ua760\ua762\ua764\ua766\ua768\ua76a\ua76c\ua76e\ua779\ua77b\ua77d-\ua77e\ua780\ua782\ua784\ua786\ua78b\ua78d\ua790\ua792\ua796\ua798\ua79a\ua79c\ua79e\ua7a0\ua7a2\ua7a4\ua7a6\ua7a8\ua7aa-\ua7ae\ua7b0-\ua7b4\ua7b6\ua7b8\uff21-\uff3a\U00010400-\U00010427\U000104b0-\U000104d3\U00010c80-\U00010cb2\U000118a0-\U000118bf\U00016e40-\U00016e5f\U0001d400-\U0001d419\U0001d434-\U0001d44d\U0001d468-\U0001d481\U0001d49c\U0001d49e-\U0001d49f\U0001d4a2\U0001d4a5-\U0001d4a6\U0001d4a9-\U0001d4ac\U0001d4ae-\U0001d4b5\U0001d4d0-\U0001d4e9\U0001d504-\U0001d505\U0001d507-\U0001d50a\U0001d50d-\U0001d514\U0001d516-\U0001d51c\U0001d538-\U0001d539\U0001d53b-\U0001d53e\U0001d540-\U0001d544\U0001d546\U0001d54a-\U0001d550\U0001d56c-\U0001d585\U0001d5a0-\U0001d5b9\U0001d5d4-\U0001d5ed\U0001d608-\U0001d621\U0001d63c-\U0001d655\U0001d670-\U0001d689\U0001d6a8-\U0001d6c0\U0001d6e2-\U0001d6fa\U0001d71c-\U0001d734\U0001d756-\U0001d76e\U0001d790-\U0001d7a8\U0001d7ca\U0001e900-\U0001e921'
+
+Mc = '\u0903\u093b\u093e-\u0940\u0949-\u094c\u094e-\u094f\u0982-\u0983\u09be-\u09c0\u09c7-\u09c8\u09cb-\u09cc\u09d7\u0a03\u0a3e-\u0a40\u0a83\u0abe-\u0ac0\u0ac9\u0acb-\u0acc\u0b02-\u0b03\u0b3e\u0b40\u0b47-\u0b48\u0b4b-\u0b4c\u0b57\u0bbe-\u0bbf\u0bc1-\u0bc2\u0bc6-\u0bc8\u0bca-\u0bcc\u0bd7\u0c01-\u0c03\u0c41-\u0c44\u0c82-\u0c83\u0cbe\u0cc0-\u0cc4\u0cc7-\u0cc8\u0cca-\u0ccb\u0cd5-\u0cd6\u0d02-\u0d03\u0d3e-\u0d40\u0d46-\u0d48\u0d4a-\u0d4c\u0d57\u0d82-\u0d83\u0dcf-\u0dd1\u0dd8-\u0ddf\u0df2-\u0df3\u0f3e-\u0f3f\u0f7f\u102b-\u102c\u1031\u1038\u103b-\u103c\u1056-\u1057\u1062-\u1064\u1067-\u106d\u1083-\u1084\u1087-\u108c\u108f\u109a-\u109c\u17b6\u17be-\u17c5\u17c7-\u17c8\u1923-\u1926\u1929-\u192b\u1930-\u1931\u1933-\u1938\u1a19-\u1a1a\u1a55\u1a57\u1a61\u1a63-\u1a64\u1a6d-\u1a72\u1b04\u1b35\u1b3b\u1b3d-\u1b41\u1b43-\u1b44\u1b82\u1ba1\u1ba6-\u1ba7\u1baa\u1be7\u1bea-\u1bec\u1bee\u1bf2-\u1bf3\u1c24-\u1c2b\u1c34-\u1c35\u1ce1\u1cf2-\u1cf3\u1cf7\u302e-\u302f\ua823-\ua824\ua827\ua880-\ua881\ua8b4-\ua8c3\ua952-\ua953\ua983\ua9b4-\ua9b5\ua9ba-\ua9bb\ua9bd-\ua9c0\uaa2f-\uaa30\uaa33-\uaa34\uaa4d\uaa7b\uaa7d\uaaeb\uaaee-\uaaef\uaaf5\uabe3-\uabe4\uabe6-\uabe7\uabe9-\uabea\uabec\U00011000\U00011002\U00011082\U000110b0-\U000110b2\U000110b7-\U000110b8\U0001112c\U00011145-\U00011146\U00011182\U000111b3-\U000111b5\U000111bf-\U000111c0\U0001122c-\U0001122e\U00011232-\U00011233\U00011235\U000112e0-\U000112e2\U00011302-\U00011303\U0001133e-\U0001133f\U00011341-\U00011344\U00011347-\U00011348\U0001134b-\U0001134d\U00011357\U00011362-\U00011363\U00011435-\U00011437\U00011440-\U00011441\U00011445\U000114b0-\U000114b2\U000114b9\U000114bb-\U000114be\U000114c1\U000115af-\U000115b1\U000115b8-\U000115bb\U000115be\U00011630-\U00011632\U0001163b-\U0001163c\U0001163e\U000116ac\U000116ae-\U000116af\U000116b6\U00011720-\U00011721\U00011726\U0001182c-\U0001182e\U00011838\U00011a39\U00011a57-\U00011a58\U00011a97\U00011c2f\U00011c3e\U00011ca9\U00011cb1\U00011cb4\U00011d8a-\U00011d8e\U00011d93-\U00011d94\U00011d96\U00011ef5-\U00011ef6\U00016f51-\U00016f7e\U0001d165-\U0001d166\U0001d16d-\U0001d172'
+
+Me = '\u0488-\u0489\u1abe\u20dd-\u20e0\u20e2-\u20e4\ua670-\ua672'
+
+Mn = '\u0300-\u036f\u0483-\u0487\u0591-\u05bd\u05bf\u05c1-\u05c2\u05c4-\u05c5\u05c7\u0610-\u061a\u064b-\u065f\u0670\u06d6-\u06dc\u06df-\u06e4\u06e7-\u06e8\u06ea-\u06ed\u0711\u0730-\u074a\u07a6-\u07b0\u07eb-\u07f3\u07fd\u0816-\u0819\u081b-\u0823\u0825-\u0827\u0829-\u082d\u0859-\u085b\u08d3-\u08e1\u08e3-\u0902\u093a\u093c\u0941-\u0948\u094d\u0951-\u0957\u0962-\u0963\u0981\u09bc\u09c1-\u09c4\u09cd\u09e2-\u09e3\u09fe\u0a01-\u0a02\u0a3c\u0a41-\u0a42\u0a47-\u0a48\u0a4b-\u0a4d\u0a51\u0a70-\u0a71\u0a75\u0a81-\u0a82\u0abc\u0ac1-\u0ac5\u0ac7-\u0ac8\u0acd\u0ae2-\u0ae3\u0afa-\u0aff\u0b01\u0b3c\u0b3f\u0b41-\u0b44\u0b4d\u0b56\u0b62-\u0b63\u0b82\u0bc0\u0bcd\u0c00\u0c04\u0c3e-\u0c40\u0c46-\u0c48\u0c4a-\u0c4d\u0c55-\u0c56\u0c62-\u0c63\u0c81\u0cbc\u0cbf\u0cc6\u0ccc-\u0ccd\u0ce2-\u0ce3\u0d00-\u0d01\u0d3b-\u0d3c\u0d41-\u0d44\u0d4d\u0d62-\u0d63\u0dca\u0dd2-\u0dd4\u0dd6\u0e31\u0e34-\u0e3a\u0e47-\u0e4e\u0eb1\u0eb4-\u0eb9\u0ebb-\u0ebc\u0ec8-\u0ecd\u0f18-\u0f19\u0f35\u0f37\u0f39\u0f71-\u0f7e\u0f80-\u0f84\u0f86-\u0f87\u0f8d-\u0f97\u0f99-\u0fbc\u0fc6\u102d-\u1030\u1032-\u1037\u1039-\u103a\u103d-\u103e\u1058-\u1059\u105e-\u1060\u1071-\u1074\u1082\u1085-\u1086\u108d\u109d\u135d-\u135f\u1712-\u1714\u1732-\u1734\u1752-\u1753\u1772-\u1773\u17b4-\u17b5\u17b7-\u17bd\u17c6\u17c9-\u17d3\u17dd\u180b-\u180d\u1885-\u1886\u18a9\u1920-\u1922\u1927-\u1928\u1932\u1939-\u193b\u1a17-\u1a18\u1a1b\u1a56\u1a58-\u1a5e\u1a60\u1a62\u1a65-\u1a6c\u1a73-\u1a7c\u1a7f\u1ab0-\u1abd\u1b00-\u1b03\u1b34\u1b36-\u1b3a\u1b3c\u1b42\u1b6b-\u1b73\u1b80-\u1b81\u1ba2-\u1ba5\u1ba8-\u1ba9\u1bab-\u1bad\u1be6\u1be8-\u1be9\u1bed\u1bef-\u1bf1\u1c2c-\u1c33\u1c36-\u1c37\u1cd0-\u1cd2\u1cd4-\u1ce0\u1ce2-\u1ce8\u1ced\u1cf4\u1cf8-\u1cf9\u1dc0-\u1df9\u1dfb-\u1dff\u20d0-\u20dc\u20e1\u20e5-\u20f0\u2cef-\u2cf1\u2d7f\u2de0-\u2dff\u302a-\u302d\u3099-\u309a\ua66f\ua674-\ua67d\ua69e-\ua69f\ua6f0-\ua6f1\ua802\ua806\ua80b\ua825-\ua826\ua8c4-\ua8c5\ua8e0-\ua8f1\ua8ff\ua926-\ua92d\ua947-\ua951\ua980-\ua982\ua9b3\ua9b6-\ua9b9\ua9bc\ua9e5\uaa29-\uaa2e\uaa31-\uaa32\uaa35-\uaa36\uaa43\uaa4c\uaa7c\uaab0\uaab2-\uaab4\uaab7-\uaab8\uaabe-\uaabf\uaac1\uaaec-\uaaed\uaaf6\uabe5\uabe8\uabed\ufb1e\ufe00-\ufe0f\ufe20-\ufe2f\U000101fd\U000102e0\U00010376-\U0001037a\U00010a01-\U00010a03\U00010a05-\U00010a06\U00010a0c-\U00010a0f\U00010a38-\U00010a3a\U00010a3f\U00010ae5-\U00010ae6\U00010d24-\U00010d27\U00010f46-\U00010f50\U00011001\U00011038-\U00011046\U0001107f-\U00011081\U000110b3-\U000110b6\U000110b9-\U000110ba\U00011100-\U00011102\U00011127-\U0001112b\U0001112d-\U00011134\U00011173\U00011180-\U00011181\U000111b6-\U000111be\U000111c9-\U000111cc\U0001122f-\U00011231\U00011234\U00011236-\U00011237\U0001123e\U000112df\U000112e3-\U000112ea\U00011300-\U00011301\U0001133b-\U0001133c\U00011340\U00011366-\U0001136c\U00011370-\U00011374\U00011438-\U0001143f\U00011442-\U00011444\U00011446\U0001145e\U000114b3-\U000114b8\U000114ba\U000114bf-\U000114c0\U000114c2-\U000114c3\U000115b2-\U000115b5\U000115bc-\U000115bd\U000115bf-\U000115c0\U000115dc-\U000115dd\U00011633-\U0001163a\U0001163d\U0001163f-\U00011640\U000116ab\U000116ad\U000116b0-\U000116b5\U000116b7\U0001171d-\U0001171f\U00011722-\U00011725\U00011727-\U0001172b\U0001182f-\U00011837\U00011839-\U0001183a\U00011a01-\U00011a0a\U00011a33-\U00011a38\U00011a3b-\U00011a3e\U00011a47\U00011a51-\U00011a56\U00011a59-\U00011a5b\U00011a8a-\U00011a96\U00011a98-\U00011a99\U00011c30-\U00011c36\U00011c38-\U00011c3d\U00011c3f\U00011c92-\U00011ca7\U00011caa-\U00011cb0\U00011cb2-\U00011cb3\U00011cb5-\U00011cb6\U00011d31-\U00011d36\U00011d3a\U00011d3c-\U00011d3d\U00011d3f-\U00011d45\U00011d47\U00011d90-\U00011d91\U00011d95\U00011d97\U00011ef3-\U00011ef4\U00016af0-\U00016af4\U00016b30-\U00016b36\U00016f8f-\U00016f92\U0001bc9d-\U0001bc9e\U0001d167-\U0001d169\U0001d17b-\U0001d182\U0001d185-\U0001d18b\U0001d1aa-\U0001d1ad\U0001d242-\U0001d244\U0001da00-\U0001da36\U0001da3b-\U0001da6c\U0001da75\U0001da84\U0001da9b-\U0001da9f\U0001daa1-\U0001daaf\U0001e000-\U0001e006\U0001e008-\U0001e018\U0001e01b-\U0001e021\U0001e023-\U0001e024\U0001e026-\U0001e02a\U0001e8d0-\U0001e8d6\U0001e944-\U0001e94a\U000e0100-\U000e01ef'
+
+Nd = '0-9\u0660-\u0669\u06f0-\u06f9\u07c0-\u07c9\u0966-\u096f\u09e6-\u09ef\u0a66-\u0a6f\u0ae6-\u0aef\u0b66-\u0b6f\u0be6-\u0bef\u0c66-\u0c6f\u0ce6-\u0cef\u0d66-\u0d6f\u0de6-\u0def\u0e50-\u0e59\u0ed0-\u0ed9\u0f20-\u0f29\u1040-\u1049\u1090-\u1099\u17e0-\u17e9\u1810-\u1819\u1946-\u194f\u19d0-\u19d9\u1a80-\u1a89\u1a90-\u1a99\u1b50-\u1b59\u1bb0-\u1bb9\u1c40-\u1c49\u1c50-\u1c59\ua620-\ua629\ua8d0-\ua8d9\ua900-\ua909\ua9d0-\ua9d9\ua9f0-\ua9f9\uaa50-\uaa59\uabf0-\uabf9\uff10-\uff19\U000104a0-\U000104a9\U00010d30-\U00010d39\U00011066-\U0001106f\U000110f0-\U000110f9\U00011136-\U0001113f\U000111d0-\U000111d9\U000112f0-\U000112f9\U00011450-\U00011459\U000114d0-\U000114d9\U00011650-\U00011659\U000116c0-\U000116c9\U00011730-\U00011739\U000118e0-\U000118e9\U00011c50-\U00011c59\U00011d50-\U00011d59\U00011da0-\U00011da9\U00016a60-\U00016a69\U00016b50-\U00016b59\U0001d7ce-\U0001d7ff\U0001e950-\U0001e959'
+
+Nl = '\u16ee-\u16f0\u2160-\u2182\u2185-\u2188\u3007\u3021-\u3029\u3038-\u303a\ua6e6-\ua6ef\U00010140-\U00010174\U00010341\U0001034a\U000103d1-\U000103d5\U00012400-\U0001246e'
+
+No = '\xb2-\xb3\xb9\xbc-\xbe\u09f4-\u09f9\u0b72-\u0b77\u0bf0-\u0bf2\u0c78-\u0c7e\u0d58-\u0d5e\u0d70-\u0d78\u0f2a-\u0f33\u1369-\u137c\u17f0-\u17f9\u19da\u2070\u2074-\u2079\u2080-\u2089\u2150-\u215f\u2189\u2460-\u249b\u24ea-\u24ff\u2776-\u2793\u2cfd\u3192-\u3195\u3220-\u3229\u3248-\u324f\u3251-\u325f\u3280-\u3289\u32b1-\u32bf\ua830-\ua835\U00010107-\U00010133\U00010175-\U00010178\U0001018a-\U0001018b\U000102e1-\U000102fb\U00010320-\U00010323\U00010858-\U0001085f\U00010879-\U0001087f\U000108a7-\U000108af\U000108fb-\U000108ff\U00010916-\U0001091b\U000109bc-\U000109bd\U000109c0-\U000109cf\U000109d2-\U000109ff\U00010a40-\U00010a48\U00010a7d-\U00010a7e\U00010a9d-\U00010a9f\U00010aeb-\U00010aef\U00010b58-\U00010b5f\U00010b78-\U00010b7f\U00010ba9-\U00010baf\U00010cfa-\U00010cff\U00010e60-\U00010e7e\U00010f1d-\U00010f26\U00010f51-\U00010f54\U00011052-\U00011065\U000111e1-\U000111f4\U0001173a-\U0001173b\U000118ea-\U000118f2\U00011c5a-\U00011c6c\U00016b5b-\U00016b61\U00016e80-\U00016e96\U0001d2e0-\U0001d2f3\U0001d360-\U0001d378\U0001e8c7-\U0001e8cf\U0001ec71-\U0001ecab\U0001ecad-\U0001ecaf\U0001ecb1-\U0001ecb4\U0001f100-\U0001f10c'
+
+Pc = '_\u203f-\u2040\u2054\ufe33-\ufe34\ufe4d-\ufe4f\uff3f'
+
+Pd = '\\-\u058a\u05be\u1400\u1806\u2010-\u2015\u2e17\u2e1a\u2e3a-\u2e3b\u2e40\u301c\u3030\u30a0\ufe31-\ufe32\ufe58\ufe63\uff0d'
+
+Pe = ')\\]}\u0f3b\u0f3d\u169c\u2046\u207e\u208e\u2309\u230b\u232a\u2769\u276b\u276d\u276f\u2771\u2773\u2775\u27c6\u27e7\u27e9\u27eb\u27ed\u27ef\u2984\u2986\u2988\u298a\u298c\u298e\u2990\u2992\u2994\u2996\u2998\u29d9\u29db\u29fd\u2e23\u2e25\u2e27\u2e29\u3009\u300b\u300d\u300f\u3011\u3015\u3017\u3019\u301b\u301e-\u301f\ufd3e\ufe18\ufe36\ufe38\ufe3a\ufe3c\ufe3e\ufe40\ufe42\ufe44\ufe48\ufe5a\ufe5c\ufe5e\uff09\uff3d\uff5d\uff60\uff63'
+
+Pf = '\xbb\u2019\u201d\u203a\u2e03\u2e05\u2e0a\u2e0d\u2e1d\u2e21'
+
+Pi = '\xab\u2018\u201b-\u201c\u201f\u2039\u2e02\u2e04\u2e09\u2e0c\u2e1c\u2e20'
+
+Po = "!-#%-'*,.-/:-;?-@\\\\\xa1\xa7\xb6-\xb7\xbf\u037e\u0387\u055a-\u055f\u0589\u05c0\u05c3\u05c6\u05f3-\u05f4\u0609-\u060a\u060c-\u060d\u061b\u061e-\u061f\u066a-\u066d\u06d4\u0700-\u070d\u07f7-\u07f9\u0830-\u083e\u085e\u0964-\u0965\u0970\u09fd\u0a76\u0af0\u0c84\u0df4\u0e4f\u0e5a-\u0e5b\u0f04-\u0f12\u0f14\u0f85\u0fd0-\u0fd4\u0fd9-\u0fda\u104a-\u104f\u10fb\u1360-\u1368\u166d-\u166e\u16eb-\u16ed\u1735-\u1736\u17d4-\u17d6\u17d8-\u17da\u1800-\u1805\u1807-\u180a\u1944-\u1945\u1a1e-\u1a1f\u1aa0-\u1aa6\u1aa8-\u1aad\u1b5a-\u1b60\u1bfc-\u1bff\u1c3b-\u1c3f\u1c7e-\u1c7f\u1cc0-\u1cc7\u1cd3\u2016-\u2017\u2020-\u2027\u2030-\u2038\u203b-\u203e\u2041-\u2043\u2047-\u2051\u2053\u2055-\u205e\u2cf9-\u2cfc\u2cfe-\u2cff\u2d70\u2e00-\u2e01\u2e06-\u2e08\u2e0b\u2e0e-\u2e16\u2e18-\u2e19\u2e1b\u2e1e-\u2e1f\u2e2a-\u2e2e\u2e30-\u2e39\u2e3c-\u2e3f\u2e41\u2e43-\u2e4e\u3001-\u3003\u303d\u30fb\ua4fe-\ua4ff\ua60d-\ua60f\ua673\ua67e\ua6f2-\ua6f7\ua874-\ua877\ua8ce-\ua8cf\ua8f8-\ua8fa\ua8fc\ua92e-\ua92f\ua95f\ua9c1-\ua9cd\ua9de-\ua9df\uaa5c-\uaa5f\uaade-\uaadf\uaaf0-\uaaf1\uabeb\ufe10-\ufe16\ufe19\ufe30\ufe45-\ufe46\ufe49-\ufe4c\ufe50-\ufe52\ufe54-\ufe57\ufe5f-\ufe61\ufe68\ufe6a-\ufe6b\uff01-\uff03\uff05-\uff07\uff0a\uff0c\uff0e-\uff0f\uff1a-\uff1b\uff1f-\uff20\uff3c\uff61\uff64-\uff65\U00010100-\U00010102\U0001039f\U000103d0\U0001056f\U00010857\U0001091f\U0001093f\U00010a50-\U00010a58\U00010a7f\U00010af0-\U00010af6\U00010b39-\U00010b3f\U00010b99-\U00010b9c\U00010f55-\U00010f59\U00011047-\U0001104d\U000110bb-\U000110bc\U000110be-\U000110c1\U00011140-\U00011143\U00011174-\U00011175\U000111c5-\U000111c8\U000111cd\U000111db\U000111dd-\U000111df\U00011238-\U0001123d\U000112a9\U0001144b-\U0001144f\U0001145b\U0001145d\U000114c6\U000115c1-\U000115d7\U00011641-\U00011643\U00011660-\U0001166c\U0001173c-\U0001173e\U0001183b\U00011a3f-\U00011a46\U00011a9a-\U00011a9c\U00011a9e-\U00011aa2\U00011c41-\U00011c45\U00011c70-\U00011c71\U00011ef7-\U00011ef8\U00012470-\U00012474\U00016a6e-\U00016a6f\U00016af5\U00016b37-\U00016b3b\U00016b44\U00016e97-\U00016e9a\U0001bc9f\U0001da87-\U0001da8b\U0001e95e-\U0001e95f"
+
+Ps = '(\\[{\u0f3a\u0f3c\u169b\u201a\u201e\u2045\u207d\u208d\u2308\u230a\u2329\u2768\u276a\u276c\u276e\u2770\u2772\u2774\u27c5\u27e6\u27e8\u27ea\u27ec\u27ee\u2983\u2985\u2987\u2989\u298b\u298d\u298f\u2991\u2993\u2995\u2997\u29d8\u29da\u29fc\u2e22\u2e24\u2e26\u2e28\u2e42\u3008\u300a\u300c\u300e\u3010\u3014\u3016\u3018\u301a\u301d\ufd3f\ufe17\ufe35\ufe37\ufe39\ufe3b\ufe3d\ufe3f\ufe41\ufe43\ufe47\ufe59\ufe5b\ufe5d\uff08\uff3b\uff5b\uff5f\uff62'
+
+Sc = '$\xa2-\xa5\u058f\u060b\u07fe-\u07ff\u09f2-\u09f3\u09fb\u0af1\u0bf9\u0e3f\u17db\u20a0-\u20bf\ua838\ufdfc\ufe69\uff04\uffe0-\uffe1\uffe5-\uffe6\U0001ecb0'
+
+Sk = '\\^`\xa8\xaf\xb4\xb8\u02c2-\u02c5\u02d2-\u02df\u02e5-\u02eb\u02ed\u02ef-\u02ff\u0375\u0384-\u0385\u1fbd\u1fbf-\u1fc1\u1fcd-\u1fcf\u1fdd-\u1fdf\u1fed-\u1fef\u1ffd-\u1ffe\u309b-\u309c\ua700-\ua716\ua720-\ua721\ua789-\ua78a\uab5b\ufbb2-\ufbc1\uff3e\uff40\uffe3\U0001f3fb-\U0001f3ff'
+
+Sm = '+<->|~\xac\xb1\xd7\xf7\u03f6\u0606-\u0608\u2044\u2052\u207a-\u207c\u208a-\u208c\u2118\u2140-\u2144\u214b\u2190-\u2194\u219a-\u219b\u21a0\u21a3\u21a6\u21ae\u21ce-\u21cf\u21d2\u21d4\u21f4-\u22ff\u2320-\u2321\u237c\u239b-\u23b3\u23dc-\u23e1\u25b7\u25c1\u25f8-\u25ff\u266f\u27c0-\u27c4\u27c7-\u27e5\u27f0-\u27ff\u2900-\u2982\u2999-\u29d7\u29dc-\u29fb\u29fe-\u2aff\u2b30-\u2b44\u2b47-\u2b4c\ufb29\ufe62\ufe64-\ufe66\uff0b\uff1c-\uff1e\uff5c\uff5e\uffe2\uffe9-\uffec\U0001d6c1\U0001d6db\U0001d6fb\U0001d715\U0001d735\U0001d74f\U0001d76f\U0001d789\U0001d7a9\U0001d7c3\U0001eef0-\U0001eef1'
+
+So = '\xa6\xa9\xae\xb0\u0482\u058d-\u058e\u060e-\u060f\u06de\u06e9\u06fd-\u06fe\u07f6\u09fa\u0b70\u0bf3-\u0bf8\u0bfa\u0c7f\u0d4f\u0d79\u0f01-\u0f03\u0f13\u0f15-\u0f17\u0f1a-\u0f1f\u0f34\u0f36\u0f38\u0fbe-\u0fc5\u0fc7-\u0fcc\u0fce-\u0fcf\u0fd5-\u0fd8\u109e-\u109f\u1390-\u1399\u1940\u19de-\u19ff\u1b61-\u1b6a\u1b74-\u1b7c\u2100-\u2101\u2103-\u2106\u2108-\u2109\u2114\u2116-\u2117\u211e-\u2123\u2125\u2127\u2129\u212e\u213a-\u213b\u214a\u214c-\u214d\u214f\u218a-\u218b\u2195-\u2199\u219c-\u219f\u21a1-\u21a2\u21a4-\u21a5\u21a7-\u21ad\u21af-\u21cd\u21d0-\u21d1\u21d3\u21d5-\u21f3\u2300-\u2307\u230c-\u231f\u2322-\u2328\u232b-\u237b\u237d-\u239a\u23b4-\u23db\u23e2-\u2426\u2440-\u244a\u249c-\u24e9\u2500-\u25b6\u25b8-\u25c0\u25c2-\u25f7\u2600-\u266e\u2670-\u2767\u2794-\u27bf\u2800-\u28ff\u2b00-\u2b2f\u2b45-\u2b46\u2b4d-\u2b73\u2b76-\u2b95\u2b98-\u2bc8\u2bca-\u2bfe\u2ce5-\u2cea\u2e80-\u2e99\u2e9b-\u2ef3\u2f00-\u2fd5\u2ff0-\u2ffb\u3004\u3012-\u3013\u3020\u3036-\u3037\u303e-\u303f\u3190-\u3191\u3196-\u319f\u31c0-\u31e3\u3200-\u321e\u322a-\u3247\u3250\u3260-\u327f\u328a-\u32b0\u32c0-\u32fe\u3300-\u33ff\u4dc0-\u4dff\ua490-\ua4c6\ua828-\ua82b\ua836-\ua837\ua839\uaa77-\uaa79\ufdfd\uffe4\uffe8\uffed-\uffee\ufffc-\ufffd\U00010137-\U0001013f\U00010179-\U00010189\U0001018c-\U0001018e\U00010190-\U0001019b\U000101a0\U000101d0-\U000101fc\U00010877-\U00010878\U00010ac8\U0001173f\U00016b3c-\U00016b3f\U00016b45\U0001bc9c\U0001d000-\U0001d0f5\U0001d100-\U0001d126\U0001d129-\U0001d164\U0001d16a-\U0001d16c\U0001d183-\U0001d184\U0001d18c-\U0001d1a9\U0001d1ae-\U0001d1e8\U0001d200-\U0001d241\U0001d245\U0001d300-\U0001d356\U0001d800-\U0001d9ff\U0001da37-\U0001da3a\U0001da6d-\U0001da74\U0001da76-\U0001da83\U0001da85-\U0001da86\U0001ecac\U0001f000-\U0001f02b\U0001f030-\U0001f093\U0001f0a0-\U0001f0ae\U0001f0b1-\U0001f0bf\U0001f0c1-\U0001f0cf\U0001f0d1-\U0001f0f5\U0001f110-\U0001f16b\U0001f170-\U0001f1ac\U0001f1e6-\U0001f202\U0001f210-\U0001f23b\U0001f240-\U0001f248\U0001f250-\U0001f251\U0001f260-\U0001f265\U0001f300-\U0001f3fa\U0001f400-\U0001f6d4\U0001f6e0-\U0001f6ec\U0001f6f0-\U0001f6f9\U0001f700-\U0001f773\U0001f780-\U0001f7d8\U0001f800-\U0001f80b\U0001f810-\U0001f847\U0001f850-\U0001f859\U0001f860-\U0001f887\U0001f890-\U0001f8ad\U0001f900-\U0001f90b\U0001f910-\U0001f93e\U0001f940-\U0001f970\U0001f973-\U0001f976\U0001f97a\U0001f97c-\U0001f9a2\U0001f9b0-\U0001f9b9\U0001f9c0-\U0001f9c2\U0001f9d0-\U0001f9ff\U0001fa60-\U0001fa6d'
+
+Zl = '\u2028'
+
+Zp = '\u2029'
+
+Zs = ' \xa0\u1680\u2000-\u200a\u202f\u205f\u3000'
+
+xid_continue = 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+
+xid_start = 'A-Z_a-z\xaa\xb5\xba\xc0-\xd6\xd8-\xf6\xf8-\u02c1\u02c6-\u02d1\u02e0-\u02e4\u02ec\u02ee\u0370-\u0374\u0376-\u0377\u037b-\u037d\u037f\u0386\u0388-\u038a\u038c\u038e-\u03a1\u03a3-\u03f5\u03f7-\u0481\u048a-\u052f\u0531-\u0556\u0559\u0560-\u0588\u05d0-\u05ea\u05ef-\u05f2\u0620-\u064a\u066e-\u066f\u0671-\u06d3\u06d5\u06e5-\u06e6\u06ee-\u06ef\u06fa-\u06fc\u06ff\u0710\u0712-\u072f\u074d-\u07a5\u07b1\u07ca-\u07ea\u07f4-\u07f5\u07fa\u0800-\u0815\u081a\u0824\u0828\u0840-\u0858\u0860-\u086a\u08a0-\u08b4\u08b6-\u08bd\u0904-\u0939\u093d\u0950\u0958-\u0961\u0971-\u0980\u0985-\u098c\u098f-\u0990\u0993-\u09a8\u09aa-\u09b0\u09b2\u09b6-\u09b9\u09bd\u09ce\u09dc-\u09dd\u09df-\u09e1\u09f0-\u09f1\u09fc\u0a05-\u0a0a\u0a0f-\u0a10\u0a13-\u0a28\u0a2a-\u0a30\u0a32-\u0a33\u0a35-\u0a36\u0a38-\u0a39\u0a59-\u0a5c\u0a5e\u0a72-\u0a74\u0a85-\u0a8d\u0a8f-\u0a91\u0a93-\u0aa8\u0aaa-\u0ab0\u0ab2-\u0ab3\u0ab5-\u0ab9\u0abd\u0ad0\u0ae0-\u0ae1\u0af9\u0b05-\u0b0c\u0b0f-\u0b10\u0b13-\u0b28\u0b2a-\u0b30\u0b32-\u0b33\u0b35-\u0b39\u0b3d\u0b5c-\u0b5d\u0b5f-\u0b61\u0b71\u0b83\u0b85-\u0b8a\u0b8e-\u0b90\u0b92-\u0b95\u0b99-\u0b9a\u0b9c\u0b9e-\u0b9f\u0ba3-\u0ba4\u0ba8-\u0baa\u0bae-\u0bb9\u0bd0\u0c05-\u0c0c\u0c0e-\u0c10\u0c12-\u0c28\u0c2a-\u0c39\u0c3d\u0c58-\u0c5a\u0c60-\u0c61\u0c80\u0c85-\u0c8c\u0c8e-\u0c90\u0c92-\u0ca8\u0caa-\u0cb3\u0cb5-\u0cb9\u0cbd\u0cde\u0ce0-\u0ce1\u0cf1-\u0cf2\u0d05-\u0d0c\u0d0e-\u0d10\u0d12-\u0d3a\u0d3d\u0d4e\u0d54-\u0d56\u0d5f-\u0d61\u0d7a-\u0d7f\u0d85-\u0d96\u0d9a-\u0db1\u0db3-\u0dbb\u0dbd\u0dc0-\u0dc6\u0e01-\u0e30\u0e32\u0e40-\u0e46\u0e81-\u0e82\u0e84\u0e87-\u0e88\u0e8a\u0e8d\u0e94-\u0e97\u0e99-\u0e9f\u0ea1-\u0ea3\u0ea5\u0ea7\u0eaa-\u0eab\u0ead-\u0eb0\u0eb2\u0ebd\u0ec0-\u0ec4\u0ec6\u0edc-\u0edf\u0f00\u0f40-\u0f47\u0f49-\u0f6c\u0f88-\u0f8c\u1000-\u102a\u103f\u1050-\u1055\u105a-\u105d\u1061\u1065-\u1066\u106e-\u1070\u1075-\u1081\u108e\u10a0-\u10c5\u10c7\u10cd\u10d0-\u10fa\u10fc-\u1248\u124a-\u124d\u1250-\u1256\u1258\u125a-\u125d\u1260-\u1288\u128a-\u128d\u1290-\u12b0\u12b2-\u12b5\u12b8-\u12be\u12c0\u12c2-\u12c5\u12c8-\u12d6\u12d8-\u1310\u1312-\u1315\u1318-\u135a\u1380-\u138f\u13a0-\u13f5\u13f8-\u13fd\u1401-\u166c\u166f-\u167f\u1681-\u169a\u16a0-\u16ea\u16ee-\u16f8\u1700-\u170c\u170e-\u1711\u1720-\u1731\u1740-\u1751\u1760-\u176c\u176e-\u1770\u1780-\u17b3\u17d7\u17dc\u1820-\u1878\u1880-\u18a8\u18aa\u18b0-\u18f5\u1900-\u191e\u1950-\u196d\u1970-\u1974\u1980-\u19ab\u19b0-\u19c9\u1a00-\u1a16\u1a20-\u1a54\u1aa7\u1b05-\u1b33\u1b45-\u1b4b\u1b83-\u1ba0\u1bae-\u1baf\u1bba-\u1be5\u1c00-\u1c23\u1c4d-\u1c4f\u1c5a-\u1c7d\u1c80-\u1c88\u1c90-\u1cba\u1cbd-\u1cbf\u1ce9-\u1cec\u1cee-\u1cf1\u1cf5-\u1cf6\u1d00-\u1dbf\u1e00-\u1f15\u1f18-\u1f1d\u1f20-\u1f45\u1f48-\u1f4d\u1f50-\u1f57\u1f59\u1f5b\u1f5d\u1f5f-\u1f7d\u1f80-\u1fb4\u1fb6-\u1fbc\u1fbe\u1fc2-\u1fc4\u1fc6-\u1fcc\u1fd0-\u1fd3\u1fd6-\u1fdb\u1fe0-\u1fec\u1ff2-\u1ff4\u1ff6-\u1ffc\u2071\u207f\u2090-\u209c\u2102\u2107\u210a-\u2113\u2115\u2118-\u211d\u2124\u2126\u2128\u212a-\u2139\u213c-\u213f\u2145-\u2149\u214e\u2160-\u2188\u2c00-\u2c2e\u2c30-\u2c5e\u2c60-\u2ce4\u2ceb-\u2cee\u2cf2-\u2cf3\u2d00-\u2d25\u2d27\u2d2d\u2d30-\u2d67\u2d6f\u2d80-\u2d96\u2da0-\u2da6\u2da8-\u2dae\u2db0-\u2db6\u2db8-\u2dbe\u2dc0-\u2dc6\u2dc8-\u2dce\u2dd0-\u2dd6\u2dd8-\u2dde\u3005-\u3007\u3021-\u3029\u3031-\u3035\u3038-\u303c\u3041-\u3096\u309d-\u309f\u30a1-\u30fa\u30fc-\u30ff\u3105-\u312f\u3131-\u318e\u31a0-\u31ba\u31f0-\u31ff\u3400-\u4db5\u4e00-\u9fef\ua000-\ua48c\ua4d0-\ua4fd\ua500-\ua60c\ua610-\ua61f\ua62a-\ua62b\ua640-\ua66e\ua67f-\ua69d\ua6a0-\ua6ef\ua717-\ua71f\ua722-\ua788\ua78b-\ua7b9\ua7f7-\ua801\ua803-\ua805\ua807-\ua80a\ua80c-\ua822\ua840-\ua873\ua882-\ua8b3\ua8f2-\ua8f7\ua8fb\ua8fd-\ua8fe\ua90a-\ua925\ua930-\ua946\ua960-\ua97c\ua984-\ua9b2\ua9cf\ua9e0-\ua9e4\ua9e6-\ua9ef\ua9fa-\ua9fe\uaa00-\uaa28\uaa40-\uaa42\uaa44-\uaa4b\uaa60-\uaa76\uaa7a\uaa7e-\uaaaf\uaab1\uaab5-\uaab6\uaab9-\uaabd\uaac0\uaac2\uaadb-\uaadd\uaae0-\uaaea\uaaf2-\uaaf4\uab01-\uab06\uab09-\uab0e\uab11-\uab16\uab20-\uab26\uab28-\uab2e\uab30-\uab5a\uab5c-\uab65\uab70-\uabe2\uac00-\ud7a3\ud7b0-\ud7c6\ud7cb-\ud7fb\uf900-\ufa6d\ufa70-\ufad9\ufb00-\ufb06\ufb13-\ufb17\ufb1d\ufb1f-\ufb28\ufb2a-\ufb36\ufb38-\ufb3c\ufb3e\ufb40-\ufb41\ufb43-\ufb44\ufb46-\ufbb1\ufbd3-\ufc5d\ufc64-\ufd3d\ufd50-\ufd8f\ufd92-\ufdc7\ufdf0-\ufdf9\ufe71\ufe73\ufe77\ufe79\ufe7b\ufe7d\ufe7f-\ufefc\uff21-\uff3a\uff41-\uff5a\uff66-\uff9d\uffa0-\uffbe\uffc2-\uffc7\uffca-\uffcf\uffd2-\uffd7\uffda-\uffdc\U00010000-\U0001000b\U0001000d-\U00010026\U00010028-\U0001003a\U0001003c-\U0001003d\U0001003f-\U0001004d\U00010050-\U0001005d\U00010080-\U000100fa\U00010140-\U00010174\U00010280-\U0001029c\U000102a0-\U000102d0\U00010300-\U0001031f\U0001032d-\U0001034a\U00010350-\U00010375\U00010380-\U0001039d\U000103a0-\U000103c3\U000103c8-\U000103cf\U000103d1-\U000103d5\U00010400-\U0001049d\U000104b0-\U000104d3\U000104d8-\U000104fb\U00010500-\U00010527\U00010530-\U00010563\U00010600-\U00010736\U00010740-\U00010755\U00010760-\U00010767\U00010800-\U00010805\U00010808\U0001080a-\U00010835\U00010837-\U00010838\U0001083c\U0001083f-\U00010855\U00010860-\U00010876\U00010880-\U0001089e\U000108e0-\U000108f2\U000108f4-\U000108f5\U00010900-\U00010915\U00010920-\U00010939\U00010980-\U000109b7\U000109be-\U000109bf\U00010a00\U00010a10-\U00010a13\U00010a15-\U00010a17\U00010a19-\U00010a35\U00010a60-\U00010a7c\U00010a80-\U00010a9c\U00010ac0-\U00010ac7\U00010ac9-\U00010ae4\U00010b00-\U00010b35\U00010b40-\U00010b55\U00010b60-\U00010b72\U00010b80-\U00010b91\U00010c00-\U00010c48\U00010c80-\U00010cb2\U00010cc0-\U00010cf2\U00010d00-\U00010d23\U00010f00-\U00010f1c\U00010f27\U00010f30-\U00010f45\U00011003-\U00011037\U00011083-\U000110af\U000110d0-\U000110e8\U00011103-\U00011126\U00011144\U00011150-\U00011172\U00011176\U00011183-\U000111b2\U000111c1-\U000111c4\U000111da\U000111dc\U00011200-\U00011211\U00011213-\U0001122b\U00011280-\U00011286\U00011288\U0001128a-\U0001128d\U0001128f-\U0001129d\U0001129f-\U000112a8\U000112b0-\U000112de\U00011305-\U0001130c\U0001130f-\U00011310\U00011313-\U00011328\U0001132a-\U00011330\U00011332-\U00011333\U00011335-\U00011339\U0001133d\U00011350\U0001135d-\U00011361\U00011400-\U00011434\U00011447-\U0001144a\U00011480-\U000114af\U000114c4-\U000114c5\U000114c7\U00011580-\U000115ae\U000115d8-\U000115db\U00011600-\U0001162f\U00011644\U00011680-\U000116aa\U00011700-\U0001171a\U00011800-\U0001182b\U000118a0-\U000118df\U000118ff\U00011a00\U00011a0b-\U00011a32\U00011a3a\U00011a50\U00011a5c-\U00011a83\U00011a86-\U00011a89\U00011a9d\U00011ac0-\U00011af8\U00011c00-\U00011c08\U00011c0a-\U00011c2e\U00011c40\U00011c72-\U00011c8f\U00011d00-\U00011d06\U00011d08-\U00011d09\U00011d0b-\U00011d30\U00011d46\U00011d60-\U00011d65\U00011d67-\U00011d68\U00011d6a-\U00011d89\U00011d98\U00011ee0-\U00011ef2\U00012000-\U00012399\U00012400-\U0001246e\U00012480-\U00012543\U00013000-\U0001342e\U00014400-\U00014646\U00016800-\U00016a38\U00016a40-\U00016a5e\U00016ad0-\U00016aed\U00016b00-\U00016b2f\U00016b40-\U00016b43\U00016b63-\U00016b77\U00016b7d-\U00016b8f\U00016e40-\U00016e7f\U00016f00-\U00016f44\U00016f50\U00016f93-\U00016f9f\U00016fe0-\U00016fe1\U00017000-\U000187f1\U00018800-\U00018af2\U0001b000-\U0001b11e\U0001b170-\U0001b2fb\U0001bc00-\U0001bc6a\U0001bc70-\U0001bc7c\U0001bc80-\U0001bc88\U0001bc90-\U0001bc99\U0001d400-\U0001d454\U0001d456-\U0001d49c\U0001d49e-\U0001d49f\U0001d4a2\U0001d4a5-\U0001d4a6\U0001d4a9-\U0001d4ac\U0001d4ae-\U0001d4b9\U0001d4bb\U0001d4bd-\U0001d4c3\U0001d4c5-\U0001d505\U0001d507-\U0001d50a\U0001d50d-\U0001d514\U0001d516-\U0001d51c\U0001d51e-\U0001d539\U0001d53b-\U0001d53e\U0001d540-\U0001d544\U0001d546\U0001d54a-\U0001d550\U0001d552-\U0001d6a5\U0001d6a8-\U0001d6c0\U0001d6c2-\U0001d6da\U0001d6dc-\U0001d6fa\U0001d6fc-\U0001d714\U0001d716-\U0001d734\U0001d736-\U0001d74e\U0001d750-\U0001d76e\U0001d770-\U0001d788\U0001d78a-\U0001d7a8\U0001d7aa-\U0001d7c2\U0001d7c4-\U0001d7cb\U0001e800-\U0001e8c4\U0001e900-\U0001e943\U0001ee00-\U0001ee03\U0001ee05-\U0001ee1f\U0001ee21-\U0001ee22\U0001ee24\U0001ee27\U0001ee29-\U0001ee32\U0001ee34-\U0001ee37\U0001ee39\U0001ee3b\U0001ee42\U0001ee47\U0001ee49\U0001ee4b\U0001ee4d-\U0001ee4f\U0001ee51-\U0001ee52\U0001ee54\U0001ee57\U0001ee59\U0001ee5b\U0001ee5d\U0001ee5f\U0001ee61-\U0001ee62\U0001ee64\U0001ee67-\U0001ee6a\U0001ee6c-\U0001ee72\U0001ee74-\U0001ee77\U0001ee79-\U0001ee7c\U0001ee7e\U0001ee80-\U0001ee89\U0001ee8b-\U0001ee9b\U0001eea1-\U0001eea3\U0001eea5-\U0001eea9\U0001eeab-\U0001eebb\U00020000-\U0002a6d6\U0002a700-\U0002b734\U0002b740-\U0002b81d\U0002b820-\U0002cea1\U0002ceb0-\U0002ebe0\U0002f800-\U0002fa1d'
+
+cats = ['Cc', 'Cf', 'Cn', 'Co', 'Cs', 'Ll', 'Lm', 'Lo', 'Lt', 'Lu', 'Mc', 'Me', 'Mn', 'Nd', 'Nl', 'No', 'Pc', 'Pd', 'Pe', 'Pf', 'Pi', 'Po', 'Ps', 'Sc', 'Sk', 'Sm', 'So', 'Zl', 'Zp', 'Zs']
+
+# Generated from unidata 11.0.0
+
+def combine(*args):
+    return ''.join(globals()[cat] for cat in args)
+
+
+def allexcept(*args):
+    newcats = cats[:]
+    for arg in args:
+        newcats.remove(arg)
+    return ''.join(globals()[cat] for cat in newcats)
+
+
+def _handle_runs(char_list):  # pragma: no cover
+    buf = []
+    for c in char_list:
+        if len(c) == 1:
+            if buf and buf[-1][1] == chr(ord(c)-1):
+                buf[-1] = (buf[-1][0], c)
+            else:
+                buf.append((c, c))
+        else:
+            buf.append((c, c))
+    for a, b in buf:
+        if a == b:
+            yield a
+        else:
+            yield f'{a}-{b}'
+
+
+if __name__ == '__main__':  # pragma: no cover
+    import unicodedata
+
+    categories = {'xid_start': [], 'xid_continue': []}
+
+    with open(__file__, encoding='utf-8') as fp:
+        content = fp.read()
+
+    header = content[:content.find('Cc =')]
+    footer = content[content.find("def combine("):]
+
+    for code in range(0x110000):
+        c = chr(code)
+        cat = unicodedata.category(c)
+        if ord(c) == 0xdc00:
+            # Hack to avoid combining this combining with the preceding high
+            # surrogate, 0xdbff, when doing a repr.
+            c = '\\' + c
+        elif ord(c) in (0x2d, 0x5b, 0x5c, 0x5d, 0x5e):
+            # Escape regex metachars.
+            c = '\\' + c
+        categories.setdefault(cat, []).append(c)
+        # XID_START and XID_CONTINUE are special categories used for matching
+        # identifiers in Python 3.
+        if c.isidentifier():
+            categories['xid_start'].append(c)
+        if ('a' + c).isidentifier():
+            categories['xid_continue'].append(c)
+
+    with open(__file__, 'w', encoding='utf-8') as fp:
+        fp.write(header)
+
+        for cat in sorted(categories):
+            val = ''.join(_handle_runs(categories[cat]))
+            fp.write(f'{cat} = {val!a}\n\n')
+
+        cats = sorted(categories)
+        cats.remove('xid_start')
+        cats.remove('xid_continue')
+        fp.write(f'cats = {cats!r}\n\n')
+
+        fp.write(f'# Generated from unidata {unicodedata.unidata_version}\n\n')
+
+        fp.write(footer)
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/util.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/util.py
new file mode 100644
index 0000000000000000000000000000000000000000..548d9d7af2865b23cf59369d25b98221daf34b95
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pygments/util.py
@@ -0,0 +1,324 @@
+"""
+    pygments.util
+    ~~~~~~~~~~~~~
+
+    Utility functions.
+
+    :copyright: Copyright 2006-present by the Pygments team, see AUTHORS.
+    :license: BSD, see LICENSE for details.
+"""
+
+import re
+from io import TextIOWrapper
+
+
+split_path_re = re.compile(r'[/\\ ]')
+doctype_lookup_re = re.compile(r'''
+    ]*>
+''', re.DOTALL | re.MULTILINE | re.VERBOSE)
+tag_re = re.compile(r'<(.+?)(\s.*?)?>.*?',
+                    re.IGNORECASE | re.DOTALL | re.MULTILINE)
+xml_decl_re = re.compile(r'\s*<\?xml[^>]*\?>', re.I)
+
+
+class ClassNotFound(ValueError):
+    """Raised if one of the lookup functions didn't find a matching class."""
+
+
+class OptionError(Exception):
+    """
+    This exception will be raised by all option processing functions if
+    the type or value of the argument is not correct.
+    """
+
+def get_choice_opt(options, optname, allowed, default=None, normcase=False):
+    """
+    If the key `optname` from the dictionary is not in the sequence
+    `allowed`, raise an error, otherwise return it.
+    """
+    string = options.get(optname, default)
+    if normcase:
+        string = string.lower()
+    if string not in allowed:
+        raise OptionError('Value for option {} must be one of {}'.format(optname, ', '.join(map(str, allowed))))
+    return string
+
+
+def get_bool_opt(options, optname, default=None):
+    """
+    Intuitively, this is `options.get(optname, default)`, but restricted to
+    Boolean value. The Booleans can be represented as string, in order to accept
+    Boolean value from the command line arguments. If the key `optname` is
+    present in the dictionary `options` and is not associated with a Boolean,
+    raise an `OptionError`. If it is absent, `default` is returned instead.
+
+    The valid string values for ``True`` are ``1``, ``yes``, ``true`` and
+    ``on``, the ones for ``False`` are ``0``, ``no``, ``false`` and ``off``
+    (matched case-insensitively).
+    """
+    string = options.get(optname, default)
+    if isinstance(string, bool):
+        return string
+    elif isinstance(string, int):
+        return bool(string)
+    elif not isinstance(string, str):
+        raise OptionError(f'Invalid type {string!r} for option {optname}; use '
+                          '1/0, yes/no, true/false, on/off')
+    elif string.lower() in ('1', 'yes', 'true', 'on'):
+        return True
+    elif string.lower() in ('0', 'no', 'false', 'off'):
+        return False
+    else:
+        raise OptionError(f'Invalid value {string!r} for option {optname}; use '
+                          '1/0, yes/no, true/false, on/off')
+
+
+def get_int_opt(options, optname, default=None):
+    """As :func:`get_bool_opt`, but interpret the value as an integer."""
+    string = options.get(optname, default)
+    try:
+        return int(string)
+    except TypeError:
+        raise OptionError(f'Invalid type {string!r} for option {optname}; you '
+                          'must give an integer value')
+    except ValueError:
+        raise OptionError(f'Invalid value {string!r} for option {optname}; you '
+                          'must give an integer value')
+
+def get_list_opt(options, optname, default=None):
+    """
+    If the key `optname` from the dictionary `options` is a string,
+    split it at whitespace and return it. If it is already a list
+    or a tuple, it is returned as a list.
+    """
+    val = options.get(optname, default)
+    if isinstance(val, str):
+        return val.split()
+    elif isinstance(val, (list, tuple)):
+        return list(val)
+    else:
+        raise OptionError(f'Invalid type {val!r} for option {optname}; you '
+                          'must give a list value')
+
+
+def docstring_headline(obj):
+    if not obj.__doc__:
+        return ''
+    res = []
+    for line in obj.__doc__.strip().splitlines():
+        if line.strip():
+            res.append(" " + line.strip())
+        else:
+            break
+    return ''.join(res).lstrip()
+
+
+def make_analysator(f):
+    """Return a static text analyser function that returns float values."""
+    def text_analyse(text):
+        try:
+            rv = f(text)
+        except Exception:
+            return 0.0
+        if not rv:
+            return 0.0
+        try:
+            return min(1.0, max(0.0, float(rv)))
+        except (ValueError, TypeError):
+            return 0.0
+    text_analyse.__doc__ = f.__doc__
+    return staticmethod(text_analyse)
+
+
+def shebang_matches(text, regex):
+    r"""Check if the given regular expression matches the last part of the
+    shebang if one exists.
+
+        >>> from pygments.util import shebang_matches
+        >>> shebang_matches('#!/usr/bin/env python', r'python(2\.\d)?')
+        True
+        >>> shebang_matches('#!/usr/bin/python2.4', r'python(2\.\d)?')
+        True
+        >>> shebang_matches('#!/usr/bin/python-ruby', r'python(2\.\d)?')
+        False
+        >>> shebang_matches('#!/usr/bin/python/ruby', r'python(2\.\d)?')
+        False
+        >>> shebang_matches('#!/usr/bin/startsomethingwith python',
+        ...                 r'python(2\.\d)?')
+        True
+
+    It also checks for common windows executable file extensions::
+
+        >>> shebang_matches('#!C:\\Python2.4\\Python.exe', r'python(2\.\d)?')
+        True
+
+    Parameters (``'-f'`` or ``'--foo'`` are ignored so ``'perl'`` does
+    the same as ``'perl -e'``)
+
+    Note that this method automatically searches the whole string (eg:
+    the regular expression is wrapped in ``'^$'``)
+    """
+    index = text.find('\n')
+    if index >= 0:
+        first_line = text[:index].lower()
+    else:
+        first_line = text.lower()
+    if first_line.startswith('#!'):
+        try:
+            found = [x for x in split_path_re.split(first_line[2:].strip())
+                     if x and not x.startswith('-')][-1]
+        except IndexError:
+            return False
+        regex = re.compile(rf'^{regex}(\.(exe|cmd|bat|bin))?$', re.IGNORECASE)
+        if regex.search(found) is not None:
+            return True
+    return False
+
+
+def doctype_matches(text, regex):
+    """Check if the doctype matches a regular expression (if present).
+
+    Note that this method only checks the first part of a DOCTYPE.
+    eg: 'html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"'
+    """
+    m = doctype_lookup_re.search(text)
+    if m is None:
+        return False
+    doctype = m.group(1)
+    return re.compile(regex, re.I).match(doctype.strip()) is not None
+
+
+def html_doctype_matches(text):
+    """Check if the file looks like it has a html doctype."""
+    return doctype_matches(text, r'html')
+
+
+_looks_like_xml_cache = {}
+
+
+def looks_like_xml(text):
+    """Check if a doctype exists or if we have some tags."""
+    if xml_decl_re.match(text):
+        return True
+    key = hash(text)
+    try:
+        return _looks_like_xml_cache[key]
+    except KeyError:
+        m = doctype_lookup_re.search(text)
+        if m is not None:
+            return True
+        rv = tag_re.search(text[:1000]) is not None
+        _looks_like_xml_cache[key] = rv
+        return rv
+
+
+def surrogatepair(c):
+    """Given a unicode character code with length greater than 16 bits,
+    return the two 16 bit surrogate pair.
+    """
+    # From example D28 of:
+    # http://www.unicode.org/book/ch03.pdf
+    return (0xd7c0 + (c >> 10), (0xdc00 + (c & 0x3ff)))
+
+
+def format_lines(var_name, seq, raw=False, indent_level=0):
+    """Formats a sequence of strings for output."""
+    lines = []
+    base_indent = ' ' * indent_level * 4
+    inner_indent = ' ' * (indent_level + 1) * 4
+    lines.append(base_indent + var_name + ' = (')
+    if raw:
+        # These should be preformatted reprs of, say, tuples.
+        for i in seq:
+            lines.append(inner_indent + i + ',')
+    else:
+        for i in seq:
+            # Force use of single quotes
+            r = repr(i + '"')
+            lines.append(inner_indent + r[:-2] + r[-1] + ',')
+    lines.append(base_indent + ')')
+    return '\n'.join(lines)
+
+
+def duplicates_removed(it, already_seen=()):
+    """
+    Returns a list with duplicates removed from the iterable `it`.
+
+    Order is preserved.
+    """
+    lst = []
+    seen = set()
+    for i in it:
+        if i in seen or i in already_seen:
+            continue
+        lst.append(i)
+        seen.add(i)
+    return lst
+
+
+class Future:
+    """Generic class to defer some work.
+
+    Handled specially in RegexLexerMeta, to support regex string construction at
+    first use.
+    """
+    def get(self):
+        raise NotImplementedError
+
+
+def guess_decode(text):
+    """Decode *text* with guessed encoding.
+
+    First try UTF-8; this should fail for non-UTF-8 encodings.
+    Then try the preferred locale encoding.
+    Fall back to latin-1, which always works.
+    """
+    try:
+        text = text.decode('utf-8')
+        return text, 'utf-8'
+    except UnicodeDecodeError:
+        try:
+            import locale
+            prefencoding = locale.getpreferredencoding()
+            text = text.decode(prefencoding)
+            return text, prefencoding
+        except (UnicodeDecodeError, LookupError):
+            text = text.decode('latin1')
+            return text, 'latin1'
+
+
+def guess_decode_from_terminal(text, term):
+    """Decode *text* coming from terminal *term*.
+
+    First try the terminal encoding, if given.
+    Then try UTF-8.  Then try the preferred locale encoding.
+    Fall back to latin-1, which always works.
+    """
+    if getattr(term, 'encoding', None):
+        try:
+            text = text.decode(term.encoding)
+        except UnicodeDecodeError:
+            pass
+        else:
+            return text, term.encoding
+    return guess_decode(text)
+
+
+def terminal_encoding(term):
+    """Return our best guess of encoding for the given *term*."""
+    if getattr(term, 'encoding', None):
+        return term.encoding
+    import locale
+    return locale.getpreferredencoding()
+
+
+class UnclosingTextIOWrapper(TextIOWrapper):
+    # Don't close underlying buffer on destruction.
+    def close(self):
+        self.flush()
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/LICENSE b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/LICENSE
new file mode 100644
index 0000000000000000000000000000000000000000..b0ae9dbc262b5f7ed4cb6f964cfb5eb5c0d0b0be
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/LICENSE
@@ -0,0 +1,21 @@
+The MIT License (MIT)
+
+Copyright (c) 2017 Thomas Kluyver
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in
+all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+THE SOFTWARE.
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..746b89f7e71ed14565d18aa97ccc62d5df1bed82
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/__init__.py
@@ -0,0 +1,31 @@
+"""Wrappers to call pyproject.toml-based build backend hooks.
+"""
+
+from typing import TYPE_CHECKING
+
+from ._impl import (
+    BackendUnavailable,
+    BuildBackendHookCaller,
+    HookMissing,
+    UnsupportedOperation,
+    default_subprocess_runner,
+    quiet_subprocess_runner,
+)
+
+__version__ = "1.2.0"
+__all__ = [
+    "BackendUnavailable",
+    "BackendInvalid",
+    "HookMissing",
+    "UnsupportedOperation",
+    "default_subprocess_runner",
+    "quiet_subprocess_runner",
+    "BuildBackendHookCaller",
+]
+
+BackendInvalid = BackendUnavailable  # Deprecated alias, previously a separate exception
+
+if TYPE_CHECKING:
+    from ._impl import SubprocessRunner
+
+    __all__ += ["SubprocessRunner"]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/__pycache__/__init__.cpython-311.pyc
new file mode 100644
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/__pycache__/_impl.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/__pycache__/_impl.cpython-311.pyc
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diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_impl.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_impl.py
new file mode 100644
index 0000000000000000000000000000000000000000..d1e9d7bb8c62e2fda5a9fd395899175142eb9b04
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_impl.py
@@ -0,0 +1,410 @@
+import json
+import os
+import sys
+import tempfile
+from contextlib import contextmanager
+from os.path import abspath
+from os.path import join as pjoin
+from subprocess import STDOUT, check_call, check_output
+from typing import TYPE_CHECKING, Any, Iterator, Mapping, Optional, Sequence
+
+from ._in_process import _in_proc_script_path
+
+if TYPE_CHECKING:
+    from typing import Protocol
+
+    class SubprocessRunner(Protocol):
+        """A protocol for the subprocess runner."""
+
+        def __call__(
+            self,
+            cmd: Sequence[str],
+            cwd: Optional[str] = None,
+            extra_environ: Optional[Mapping[str, str]] = None,
+        ) -> None:
+            ...
+
+
+def write_json(obj: Mapping[str, Any], path: str, **kwargs) -> None:
+    with open(path, "w", encoding="utf-8") as f:
+        json.dump(obj, f, **kwargs)
+
+
+def read_json(path: str) -> Mapping[str, Any]:
+    with open(path, encoding="utf-8") as f:
+        return json.load(f)
+
+
+class BackendUnavailable(Exception):
+    """Will be raised if the backend cannot be imported in the hook process."""
+
+    def __init__(
+        self,
+        traceback: str,
+        message: Optional[str] = None,
+        backend_name: Optional[str] = None,
+        backend_path: Optional[Sequence[str]] = None,
+    ) -> None:
+        # Preserving arg order for the sake of API backward compatibility.
+        self.backend_name = backend_name
+        self.backend_path = backend_path
+        self.traceback = traceback
+        super().__init__(message or "Error while importing backend")
+
+
+class HookMissing(Exception):
+    """Will be raised on missing hooks (if a fallback can't be used)."""
+
+    def __init__(self, hook_name: str) -> None:
+        super().__init__(hook_name)
+        self.hook_name = hook_name
+
+
+class UnsupportedOperation(Exception):
+    """May be raised by build_sdist if the backend indicates that it can't."""
+
+    def __init__(self, traceback: str) -> None:
+        self.traceback = traceback
+
+
+def default_subprocess_runner(
+    cmd: Sequence[str],
+    cwd: Optional[str] = None,
+    extra_environ: Optional[Mapping[str, str]] = None,
+) -> None:
+    """The default method of calling the wrapper subprocess.
+
+    This uses :func:`subprocess.check_call` under the hood.
+    """
+    env = os.environ.copy()
+    if extra_environ:
+        env.update(extra_environ)
+
+    check_call(cmd, cwd=cwd, env=env)
+
+
+def quiet_subprocess_runner(
+    cmd: Sequence[str],
+    cwd: Optional[str] = None,
+    extra_environ: Optional[Mapping[str, str]] = None,
+) -> None:
+    """Call the subprocess while suppressing output.
+
+    This uses :func:`subprocess.check_output` under the hood.
+    """
+    env = os.environ.copy()
+    if extra_environ:
+        env.update(extra_environ)
+
+    check_output(cmd, cwd=cwd, env=env, stderr=STDOUT)
+
+
+def norm_and_check(source_tree: str, requested: str) -> str:
+    """Normalise and check a backend path.
+
+    Ensure that the requested backend path is specified as a relative path,
+    and resolves to a location under the given source tree.
+
+    Return an absolute version of the requested path.
+    """
+    if os.path.isabs(requested):
+        raise ValueError("paths must be relative")
+
+    abs_source = os.path.abspath(source_tree)
+    abs_requested = os.path.normpath(os.path.join(abs_source, requested))
+    # We have to use commonprefix for Python 2.7 compatibility. So we
+    # normalise case to avoid problems because commonprefix is a character
+    # based comparison :-(
+    norm_source = os.path.normcase(abs_source)
+    norm_requested = os.path.normcase(abs_requested)
+    if os.path.commonprefix([norm_source, norm_requested]) != norm_source:
+        raise ValueError("paths must be inside source tree")
+
+    return abs_requested
+
+
+class BuildBackendHookCaller:
+    """A wrapper to call the build backend hooks for a source directory."""
+
+    def __init__(
+        self,
+        source_dir: str,
+        build_backend: str,
+        backend_path: Optional[Sequence[str]] = None,
+        runner: Optional["SubprocessRunner"] = None,
+        python_executable: Optional[str] = None,
+    ) -> None:
+        """
+        :param source_dir: The source directory to invoke the build backend for
+        :param build_backend: The build backend spec
+        :param backend_path: Additional path entries for the build backend spec
+        :param runner: The :ref:`subprocess runner ` to use
+        :param python_executable:
+            The Python executable used to invoke the build backend
+        """
+        if runner is None:
+            runner = default_subprocess_runner
+
+        self.source_dir = abspath(source_dir)
+        self.build_backend = build_backend
+        if backend_path:
+            backend_path = [norm_and_check(self.source_dir, p) for p in backend_path]
+        self.backend_path = backend_path
+        self._subprocess_runner = runner
+        if not python_executable:
+            python_executable = sys.executable
+        self.python_executable = python_executable
+
+    @contextmanager
+    def subprocess_runner(self, runner: "SubprocessRunner") -> Iterator[None]:
+        """A context manager for temporarily overriding the default
+        :ref:`subprocess runner `.
+
+        :param runner: The new subprocess runner to use within the context.
+
+        .. code-block:: python
+
+            hook_caller = BuildBackendHookCaller(...)
+            with hook_caller.subprocess_runner(quiet_subprocess_runner):
+                ...
+        """
+        prev = self._subprocess_runner
+        self._subprocess_runner = runner
+        try:
+            yield
+        finally:
+            self._subprocess_runner = prev
+
+    def _supported_features(self) -> Sequence[str]:
+        """Return the list of optional features supported by the backend."""
+        return self._call_hook("_supported_features", {})
+
+    def get_requires_for_build_wheel(
+        self,
+        config_settings: Optional[Mapping[str, Any]] = None,
+    ) -> Sequence[str]:
+        """Get additional dependencies required for building a wheel.
+
+        :param config_settings: The configuration settings for the build backend
+        :returns: A list of :pep:`dependency specifiers <508>`.
+
+        .. admonition:: Fallback
+
+            If the build backend does not defined a hook with this name, an
+            empty list will be returned.
+        """
+        return self._call_hook(
+            "get_requires_for_build_wheel", {"config_settings": config_settings}
+        )
+
+    def prepare_metadata_for_build_wheel(
+        self,
+        metadata_directory: str,
+        config_settings: Optional[Mapping[str, Any]] = None,
+        _allow_fallback: bool = True,
+    ) -> str:
+        """Prepare a ``*.dist-info`` folder with metadata for this project.
+
+        :param metadata_directory: The directory to write the metadata to
+        :param config_settings: The configuration settings for the build backend
+        :param _allow_fallback:
+            Whether to allow the fallback to building a wheel and extracting
+            the metadata from it. Should be passed as a keyword argument only.
+
+        :returns: Name of the newly created subfolder within
+                  ``metadata_directory``, containing the metadata.
+
+        .. admonition:: Fallback
+
+            If the build backend does not define a hook with this name and
+            ``_allow_fallback`` is truthy, the backend will be asked to build a
+            wheel via the ``build_wheel`` hook and the dist-info extracted from
+            that will be returned.
+        """
+        return self._call_hook(
+            "prepare_metadata_for_build_wheel",
+            {
+                "metadata_directory": abspath(metadata_directory),
+                "config_settings": config_settings,
+                "_allow_fallback": _allow_fallback,
+            },
+        )
+
+    def build_wheel(
+        self,
+        wheel_directory: str,
+        config_settings: Optional[Mapping[str, Any]] = None,
+        metadata_directory: Optional[str] = None,
+    ) -> str:
+        """Build a wheel from this project.
+
+        :param wheel_directory: The directory to write the wheel to
+        :param config_settings: The configuration settings for the build backend
+        :param metadata_directory: The directory to reuse existing metadata from
+        :returns:
+            The name of the newly created wheel within ``wheel_directory``.
+
+        .. admonition:: Interaction with fallback
+
+            If the ``build_wheel`` hook was called in the fallback for
+            :meth:`prepare_metadata_for_build_wheel`, the build backend would
+            not be invoked. Instead, the previously built wheel will be copied
+            to ``wheel_directory`` and the name of that file will be returned.
+        """
+        if metadata_directory is not None:
+            metadata_directory = abspath(metadata_directory)
+        return self._call_hook(
+            "build_wheel",
+            {
+                "wheel_directory": abspath(wheel_directory),
+                "config_settings": config_settings,
+                "metadata_directory": metadata_directory,
+            },
+        )
+
+    def get_requires_for_build_editable(
+        self,
+        config_settings: Optional[Mapping[str, Any]] = None,
+    ) -> Sequence[str]:
+        """Get additional dependencies required for building an editable wheel.
+
+        :param config_settings: The configuration settings for the build backend
+        :returns: A list of :pep:`dependency specifiers <508>`.
+
+        .. admonition:: Fallback
+
+            If the build backend does not defined a hook with this name, an
+            empty list will be returned.
+        """
+        return self._call_hook(
+            "get_requires_for_build_editable", {"config_settings": config_settings}
+        )
+
+    def prepare_metadata_for_build_editable(
+        self,
+        metadata_directory: str,
+        config_settings: Optional[Mapping[str, Any]] = None,
+        _allow_fallback: bool = True,
+    ) -> Optional[str]:
+        """Prepare a ``*.dist-info`` folder with metadata for this project.
+
+        :param metadata_directory: The directory to write the metadata to
+        :param config_settings: The configuration settings for the build backend
+        :param _allow_fallback:
+            Whether to allow the fallback to building a wheel and extracting
+            the metadata from it. Should be passed as a keyword argument only.
+        :returns: Name of the newly created subfolder within
+                  ``metadata_directory``, containing the metadata.
+
+        .. admonition:: Fallback
+
+            If the build backend does not define a hook with this name and
+            ``_allow_fallback`` is truthy, the backend will be asked to build a
+            wheel via the ``build_editable`` hook and the dist-info
+            extracted from that will be returned.
+        """
+        return self._call_hook(
+            "prepare_metadata_for_build_editable",
+            {
+                "metadata_directory": abspath(metadata_directory),
+                "config_settings": config_settings,
+                "_allow_fallback": _allow_fallback,
+            },
+        )
+
+    def build_editable(
+        self,
+        wheel_directory: str,
+        config_settings: Optional[Mapping[str, Any]] = None,
+        metadata_directory: Optional[str] = None,
+    ) -> str:
+        """Build an editable wheel from this project.
+
+        :param wheel_directory: The directory to write the wheel to
+        :param config_settings: The configuration settings for the build backend
+        :param metadata_directory: The directory to reuse existing metadata from
+        :returns:
+            The name of the newly created wheel within ``wheel_directory``.
+
+        .. admonition:: Interaction with fallback
+
+            If the ``build_editable`` hook was called in the fallback for
+            :meth:`prepare_metadata_for_build_editable`, the build backend
+            would not be invoked. Instead, the previously built wheel will be
+            copied to ``wheel_directory`` and the name of that file will be
+            returned.
+        """
+        if metadata_directory is not None:
+            metadata_directory = abspath(metadata_directory)
+        return self._call_hook(
+            "build_editable",
+            {
+                "wheel_directory": abspath(wheel_directory),
+                "config_settings": config_settings,
+                "metadata_directory": metadata_directory,
+            },
+        )
+
+    def get_requires_for_build_sdist(
+        self,
+        config_settings: Optional[Mapping[str, Any]] = None,
+    ) -> Sequence[str]:
+        """Get additional dependencies required for building an sdist.
+
+        :returns: A list of :pep:`dependency specifiers <508>`.
+        """
+        return self._call_hook(
+            "get_requires_for_build_sdist", {"config_settings": config_settings}
+        )
+
+    def build_sdist(
+        self,
+        sdist_directory: str,
+        config_settings: Optional[Mapping[str, Any]] = None,
+    ) -> str:
+        """Build an sdist from this project.
+
+        :returns:
+            The name of the newly created sdist within ``wheel_directory``.
+        """
+        return self._call_hook(
+            "build_sdist",
+            {
+                "sdist_directory": abspath(sdist_directory),
+                "config_settings": config_settings,
+            },
+        )
+
+    def _call_hook(self, hook_name: str, kwargs: Mapping[str, Any]) -> Any:
+        extra_environ = {"_PYPROJECT_HOOKS_BUILD_BACKEND": self.build_backend}
+
+        if self.backend_path:
+            backend_path = os.pathsep.join(self.backend_path)
+            extra_environ["_PYPROJECT_HOOKS_BACKEND_PATH"] = backend_path
+
+        with tempfile.TemporaryDirectory() as td:
+            hook_input = {"kwargs": kwargs}
+            write_json(hook_input, pjoin(td, "input.json"), indent=2)
+
+            # Run the hook in a subprocess
+            with _in_proc_script_path() as script:
+                python = self.python_executable
+                self._subprocess_runner(
+                    [python, abspath(str(script)), hook_name, td],
+                    cwd=self.source_dir,
+                    extra_environ=extra_environ,
+                )
+
+            data = read_json(pjoin(td, "output.json"))
+            if data.get("unsupported"):
+                raise UnsupportedOperation(data.get("traceback", ""))
+            if data.get("no_backend"):
+                raise BackendUnavailable(
+                    data.get("traceback", ""),
+                    message=data.get("backend_error", ""),
+                    backend_name=self.build_backend,
+                    backend_path=self.backend_path,
+                )
+            if data.get("hook_missing"):
+                raise HookMissing(data.get("missing_hook_name") or hook_name)
+            return data["return_val"]
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_in_process/__init__.py b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_in_process/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..906d0ba20e1f3e10b35456c2db1f207a071ce246
--- /dev/null
+++ b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_in_process/__init__.py
@@ -0,0 +1,21 @@
+"""This is a subpackage because the directory is on sys.path for _in_process.py
+
+The subpackage should stay as empty as possible to avoid shadowing modules that
+the backend might import.
+"""
+
+import importlib.resources as resources
+
+try:
+    resources.files
+except AttributeError:
+    # Python 3.8 compatibility
+    def _in_proc_script_path():
+        return resources.path(__package__, "_in_process.py")
+
+else:
+
+    def _in_proc_script_path():
+        return resources.as_file(
+            resources.files(__package__).joinpath("_in_process.py")
+        )
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_in_process/__pycache__/__init__.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_in_process/__pycache__/__init__.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..cca332ef595d06fd1fba8bbeaa6476fbf2d9ab69
Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_in_process/__pycache__/__init__.cpython-311.pyc differ
diff --git a/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_in_process/__pycache__/_in_process.cpython-311.pyc b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_in_process/__pycache__/_in_process.cpython-311.pyc
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index 0000000000000000000000000000000000000000..dc23a7ea50e5b966586c03628c89921a802472f0
Binary files /dev/null and b/physworld_p1_20261018/envs/p1/lib/python3.11/site-packages/pip/_vendor/pyproject_hooks/_in_process/__pycache__/_in_process.cpython-311.pyc differ

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