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| """Tests for the screening-ceiling dataset. | |
| The important tests here are not "does the file parse" -- they are "is the | |
| published claim true of the published data". A dataset whose ground truth is | |
| wrong is worse than no dataset, because every result scored against it inherits | |
| the error. | |
| """ | |
| from __future__ import annotations | |
| import json | |
| import math | |
| import pathlib | |
| import random | |
| import sys | |
| import pytest | |
| HERE = pathlib.Path(__file__).resolve().parents[1] | |
| sys.path.insert(0, str(HERE)) | |
| import verify # noqa: E402 | |
| from loader import ( # noqa: E402 | |
| family_layout, | |
| load_counterexamples, | |
| load_regions, | |
| load_theorem, | |
| ) | |
| DATA = HERE / "data" | |
| # --------------------------------------------------------------------- presence | |
| def test_data_files_exist_and_are_nonempty(): | |
| for name in ("certified_regions.jsonl", "counterexamples.jsonl", "theorem.json"): | |
| p = DATA / name | |
| assert p.exists(), f"missing {name}" | |
| assert p.stat().st_size > 0, f"empty {name}" | |
| def test_every_line_is_valid_json(): | |
| for name in ("certified_regions.jsonl", "counterexamples.jsonl"): | |
| for i, line in enumerate((DATA / name).read_text(encoding="utf-8").splitlines()): | |
| if line.strip(): | |
| json.loads(line) # raises on malformed | |
| # ---------------------------------------------------------------------- schema | |
| def test_region_schema_is_complete(): | |
| required = {"region_id", "bounds", "status", "certified_leaves", | |
| "processed_leaves", "sup_certified_k_hi", | |
| "volume_fraction_of_region", "unresolved_leaves"} | |
| for r in load_regions(): | |
| assert required <= set(r), f"{r.get('region_id')} missing {required - set(r)}" | |
| assert set(r["bounds"]) == {"d0_um", "pt_mult", "sep_mult", "jog_mult"} | |
| for b in r["bounds"].values(): | |
| assert b["lo"] < b["hi"], "degenerate interval" | |
| def test_counterexample_schema_is_complete(): | |
| required = {"case_id", "model", "n_conductors", "worst_pair", "k_predicted", | |
| "violates_ceiling", "xy_um", "radius_um", "eps_r"} | |
| for c in load_counterexamples(): | |
| assert required <= set(c), f"{c.get('case_id')} missing {required - set(c)}" | |
| assert len(c["xy_um"]) == c["n_conductors"] | |
| assert len(c["radius_um"]) == c["n_conductors"] | |
| def test_case_ids_are_unique(): | |
| ids = [c["case_id"] for c in load_counterexamples()] | |
| assert len(ids) == len(set(ids)) | |
| def test_region_ids_are_unique(): | |
| ids = [r["region_id"] for r in load_regions()] | |
| assert len(ids) == len(set(ids)) | |
| # ------------------------------------------------------------------ the claims | |
| def test_every_region_is_certified_with_no_unresolved_leaves(): | |
| for r in load_regions(): | |
| assert r["status"] == "CERTIFIED", f"{r['region_id']} is {r['status']}" | |
| assert r["unresolved_leaves"] == 0 | |
| def test_no_region_admits_a_k_above_the_bound(): | |
| """The published per-region supremum must respect the published bound.""" | |
| k_bar = load_theorem()["k_bar"] | |
| for r in load_regions(): | |
| assert r["sup_certified_k_hi"] <= k_bar, \ | |
| f"{r['region_id']} admits {r['sup_certified_k_hi']} > {k_bar}" | |
| def test_leaf_total_matches_the_sum_over_regions(): | |
| t = load_theorem() | |
| assert sum(r["certified_leaves"] for r in load_regions()) \ | |
| == t["certified_leaves_total"] | |
| def test_regions_tile_the_family_box(): | |
| """Union of region bounds must span the declared family box on every axis.""" | |
| t = load_theorem() | |
| regions = load_regions() | |
| for name, b in t["family_box"].items(): | |
| assert min(r["bounds"][name]["lo"] for r in regions) == b["lo"] | |
| assert max(r["bounds"][name]["hi"] for r in regions) == b["hi"] | |
| def test_sampling_inside_certified_regions_never_exceeds_the_bound(seed): | |
| """Independent re-derivation: sampling must fail to refute the claim.""" | |
| k_bar = load_theorem()["k_bar"] | |
| rng = random.Random(seed) | |
| worst, violations = verify.check_regions(load_regions(), k_bar, samples=3, | |
| rng=rng, verbose=False) | |
| assert violations == [], f"claim refuted at {violations[:2]}" | |
| assert worst <= k_bar | |
| def test_every_counterexample_really_violates_the_ceiling(): | |
| """Existential claim, re-derived from stored coordinates rather than trusted.""" | |
| confirmed, failed = verify.check_counterexamples(load_counterexamples(), | |
| verbose=False) | |
| assert failed == [], f"counterexamples did not re-derive: {failed[:2]}" | |
| assert confirmed == len(load_counterexamples()) | |
| def test_published_k_matches_recomputation_to_tight_tolerance(): | |
| for c in load_counterexamples(): | |
| xy = [[x * 1e-6, y * 1e-6] for x, y in c["xy_um"]] | |
| radius = [r * 1e-6 for r in c["radius_um"]] | |
| k = verify.born_second_order_k(xy, radius) | |
| n = len(xy) | |
| kmax = max(k[i][j] for i in range(n) for j in range(n) if i != j) | |
| assert kmax == pytest.approx(c["k_predicted"], rel=1e-9) | |
| assert kmax > 1.0 | |
| # ------------------------------------------------------------------- physics | |
| def test_isolated_pair_has_no_screening(): | |
| """Two conductors alone: k must be exactly 1, since there is nothing to screen.""" | |
| k = verify.screening_factors([[0.0, 0.0], [1e-4, 0.0]], [2e-5, 2e-5]) | |
| assert k[0][1] == pytest.approx(1.0, abs=1e-12) | |
| assert k[1][0] == pytest.approx(1.0, abs=1e-12) | |
| def test_adding_a_conductor_reduces_coupling(): | |
| """The physical content of the ceiling: screening only ever removes coupling.""" | |
| pair = verify.screening_factors([[0.0, 0.0], [2e-4, 0.0]], [2e-5] * 2)[0][1] | |
| with_third = verify.screening_factors( | |
| [[0.0, 0.0], [2e-4, 0.0], [1e-4, 0.0]], [2e-5] * 3)[0][1] | |
| assert with_third < pair | |
| def test_family_layout_matches_the_documented_geometry(): | |
| xy, radius = family_layout(40.0, 1.0, 3.0, 0.0) | |
| pt = 1.6 * 40.0 * 1e-6 | |
| assert xy[1][0] == pytest.approx(pt) | |
| assert xy[2][0] == pytest.approx(pt * 3.0) | |
| assert xy[3][0] == pytest.approx(pt * 3.0 + pt) | |
| assert all(r == pytest.approx(20e-6) for r in radius) | |
| def test_loader_and_verify_agree_on_geometry(): | |
| """Two implementations of the family layout must not drift apart.""" | |
| a_xy, a_r = family_layout(37.5, 1.1, 3.3, -0.2) | |
| b_xy, b_r = verify.family_layout(37.5, 1.1, 3.3, -0.2) | |
| assert [c for pt in a_xy for c in pt] == pytest.approx( | |
| [c for pt in b_xy for c in pt]) | |
| assert a_r == pytest.approx(b_r) | |
| def test_inverse_is_correct(): | |
| m = [[4.0, 7.0], [2.0, 6.0]] | |
| inv = verify.inverse(m) | |
| prod = [[sum(m[i][k] * inv[k][j] for k in range(2)) for j in range(2)] | |
| for i in range(2)] | |
| assert prod[0][0] == pytest.approx(1.0) | |
| assert prod[1][1] == pytest.approx(1.0) | |
| assert prod[0][1] == pytest.approx(0.0, abs=1e-12) | |
| def test_singular_matrix_raises_rather_than_returning_garbage(): | |
| with pytest.raises(ZeroDivisionError): | |
| verify.inverse([[1.0, 2.0], [2.0, 4.0]]) | |
| # ------------------------------------------------------------ negative control | |
| def test_the_checker_rejects_a_fabricated_bound(): | |
| """A checker that cannot fail is not a checker.""" | |
| rng = random.Random(0) | |
| _, violations = verify.check_regions(load_regions()[:4], k_bar=0.5, samples=5, | |
| rng=rng, verbose=False) | |
| assert violations, "an impossible bound was not refuted" | |
| def test_the_checker_rejects_a_tampered_counterexample(): | |
| cases = load_counterexamples() | |
| bad = dict(cases[0], k_predicted=cases[0]["k_predicted"] * 1.5) | |
| _, failed = verify.check_counterexamples([bad], verbose=False) | |
| assert failed, "a tampered value was accepted" | |
| def test_self_test_entrypoint_passes(): | |
| assert verify.self_test() == 0 | |
| # ---------------------------------------------------------------- provenance | |
| def test_theorem_records_provenance_and_scope(): | |
| t = load_theorem() | |
| p = t["provenance"] | |
| assert len(p["source_sha256"]) == 64 | |
| assert len(p["witness_content_sha256"]) == 64 | |
| assert p["partition_regions"] == len(load_regions()) | |
| assert "MONOPOLE-CLOSURE" in t["honest_scope"] | |
| assert "not establish" in t["honest_scope"] | |
| def test_stated_overprediction_follows_from_the_certified_supremum(): | |
| """The headline percentage must be derivable, not asserted. | |
| It derives from the supremum the proof actually certified rather than from | |
| the target bound, so it is marginally STRONGER than 100/k_bar - 100. Both | |
| relationships are checked, because that last digit is exactly the kind of | |
| thing a careful reader will try to reproduce and then query. | |
| """ | |
| t = load_theorem() | |
| assert t["forced_pairwise_overprediction_basis"] == "sup_certified_k_hi" | |
| assert t["forced_pairwise_overprediction_pct"] == \ | |
| pytest.approx(100.0 / t["sup_certified_k_hi"] - 100.0, rel=1e-12) | |
| assert t["forced_pairwise_overprediction_pct"] >= 100.0 / t["k_bar"] - 100.0 | |
| def test_scope_is_not_overclaimed_anywhere_in_the_card(): | |
| """The card must not say the theorem is about Maxwell or measured silicon.""" | |
| card = (HERE / "README.md").read_text(encoding="utf-8").lower() | |
| assert "monopole-closure" in card or "monopole closure" in card | |
| for forbidden in ("proves maxwell", "measured silicon shows", | |
| "validated against measurement"): | |
| assert forbidden not in card | |
| def test_verify_is_importable_with_no_third_party_modules(): | |
| """The zero-dependency promise, enforced rather than documented.""" | |
| src = (HERE / "verify.py").read_text(encoding="utf-8") | |
| banned = ("import numpy", "import pandas", "import scipy", "import torch", | |
| "from numpy", "from pandas", "import datasets") | |
| for b in banned: | |
| assert b not in src, f"verify.py must stay stdlib-only, found {b!r}" | |
| def test_math_import_is_actually_used(): | |
| assert math.hypot(3, 4) == 5.0 # guards the import above from bit-rot | |
| def test_readme_figures_match_the_data(): | |
| """Headline numbers in the card are re-derived from the files, not typed once.""" | |
| readme = (HERE / "README.md").read_text(encoding="utf-8") | |
| cs, t = load_counterexamples(), load_theorem() | |
| assert f"{sum(c['n_pairs_violating'] for c in cs):,}" in readme | |
| assert f"{max(c['k_predicted'] for c in cs):.4f}" in readme | |
| assert f"{t['certified_leaves_total']:,}" in readme | |
| assert f"{t['processed_leaves_total']:,}" in readme | |
| assert f"{t['forced_pairwise_overprediction_pct']:.6f}"[:9] in readme | |
| def test_readme_sampling_ladder_reproduces(samples, expected): | |
| """The card quotes a sampling ladder; a reader will run it, so it must hold. | |
| 400 samples is quoted too but takes ~6 s, so it is exercised by the | |
| quoted-string check below rather than re-run on every commit. | |
| """ | |
| worst, violations = verify.check_regions( | |
| load_regions(), load_theorem()["k_bar"], samples, | |
| random.Random(7), verbose=False) | |
| assert f"{worst:.12f}" == expected | |
| assert violations == [] | |
| assert expected in (HERE / "README.md").read_text(encoding="utf-8") | |
| def test_readme_marks_the_two_figures_it_cannot_reproduce(): | |
| """0.081% and 0.9053 come from tooling that is not in this release. | |
| Every other number on the card re-derives from the published files. These | |
| two do not, and a reader has no way to tell them apart unless we say so. | |
| """ | |
| import re | |
| readme = (HERE / "README.md").read_text(encoding="utf-8") | |
| markers = ("not part of this release", "cannot re-derive") | |
| at = [m.start() for k in markers for m in re.finditer(re.escape(k), readme)] | |
| assert at, "the card carries no non-reproducibility disclosure at all" | |
| # Two failure modes to close, both found by adversarial review of an | |
| # earlier version of this guard: | |
| # * a figure quoted somewhere far from any disclosure (e.g. a summary | |
| # table appended to the end of the card) -- so check EVERY occurrence, | |
| # not just the first; | |
| # * one disclosure sentence covering both figures, so that deleting it | |
| # silently un-discloses two numbers -- so require distinct markers. | |
| WINDOW = 500 # every real mention today sits within 358 characters | |
| nearest = {} | |
| for figure in ("0.081%", "0.9053"): | |
| hits = list(re.finditer(re.escape(figure), readme)) | |
| assert hits, f"{figure} vanished; drop this guard with it" | |
| for m in hits: | |
| d = min(abs(m.start() - x) for x in at) | |
| assert d <= WINDOW, ( | |
| f"{figure} is quoted at character {m.start()} with no " | |
| f"disclosure within {WINDOW} characters (nearest is {d} away)" | |
| ) | |
| nearest[figure] = min(at, key=lambda x: min(abs(m.start() - x) for m in hits)) | |
| assert len(set(nearest.values())) == 2, ( | |
| "both figures lean on the same disclosure sentence; each needs its own, " | |
| "or removing one silently un-discloses the other" | |
| ) | |
| def test_citation_points_at_a_home_that_exists(): | |
| """CITATION.cff pointed at a GitHub repo that was never created. | |
| The dataset is published on the Hub, not on GitHub, so `repository-code` | |
| named a URL that 404s -- on the one file whose entire job is telling people | |
| where this came from. Checked offline by shape: a citation may only name a | |
| host this project actually publishes to. | |
| """ | |
| import re | |
| cff = (HERE / "CITATION.cff").read_text(encoding="utf-8") | |
| m = re.search(r'repository-code:\s*"?([^"\n]+)', cff) | |
| assert m, "CITATION.cff names no repository-code" | |
| url = m.group(1).strip() | |
| assert url.startswith( | |
| ("https://huggingface.co/datasets/nickh007/", "https://github.com/nickharris808/") | |
| ), f"citation points somewhere this project does not publish: {url}" | |
| assert "github.com/nickharris808/screening-ceiling" not in url, ( | |
| "that GitHub repo does not exist; this dataset lives on the Hub" | |
| ) | |