"""Tests for src.decode. Run with `python -m pytest tests` or `python tests/test_decode.py`.""" import itertools import math import sys from pathlib import Path import numpy as np sys.path.insert(0, str(Path(__file__).resolve().parents[1])) from src.decode import (best_subset, decode_all, decode_arrays, # noqa: E402 expected_f05_topk, threshold_decode) from src.metric import f05_entity # noqa: E402 # --------------------------------------------------------------------------- # helpers: independent reference implementations # --------------------------------------------------------------------------- def _pb_pmf(p): pmf = np.array([1.0]) for x in p: pmf = np.convolve(pmf, [1.0 - x, x]) return pmf def _expected_naive(p): """O(m^3) prefix x suffix double sum, straight from the definition.""" p = np.sort(np.asarray(p, float))[::-1] m = len(p) out = np.zeros(m + 1) out[0] = np.prod(1 - p) for k in range(1, m + 1): pre, suf = _pb_pmf(p[:k]), _pb_pmf(p[k:]) for a in range(1, k + 1): for b in range(len(suf)): out[k] += pre[a] * suf[b] * 1.25 * (a / k) * (a / (a + b)) / (0.25 * a / k + a / (a + b)) return out def _expected_enumerate(p): """Exact expectation by enumerating all 2^m label vectors, scored with src.metric.""" p = np.sort(np.asarray(p, float))[::-1] m = len(p) out = np.zeros(m + 1) for y in itertools.product([0, 1], repeat=m): w = np.prod([pi if yi else 1 - pi for pi, yi in zip(p, y)]) true = {i for i in range(m) if y[i]} for k in range(m + 1): out[k] += w * f05_entity(set(range(k)), true) return out def _crossover(p1=0.95, lo=0.0, hi=None, iters=60): """Smallest p2 at which predicting both beats predicting only the first.""" hi = p1 if hi is None else hi assert best_subset([p1, lo])[0] == 1 and best_subset([p1, hi])[0] == 2 for _ in range(iters): mid = 0.5 * (lo + hi) if best_subset([p1, mid])[0] == 2: hi = mid else: lo = mid return 0.5 * (lo + hi) # --------------------------------------------------------------------------- # (a) single candidate: include iff p > 0.5 # --------------------------------------------------------------------------- def test_single_candidate(): assert best_subset(np.array([0.49]))[0] == 0 assert best_subset(np.array([0.51]))[0] == 1 k, v = best_subset(np.array([0.49])) assert math.isclose(v, 0.51) k, v = best_subset(np.array([0.51])) assert math.isclose(v, 0.51) assert best_subset(np.array([0.5]))[0] == 0 # tie -> prefer the smaller set assert best_subset(np.array([]))[0] == 0 assert best_subset(np.array([]))[1] == 1.0 # --------------------------------------------------------------------------- # (b) second-candidate crossover with p1 = 0.95 # --------------------------------------------------------------------------- def test_two_candidate_crossover(): x = _crossover(0.95) # closed form: E1 = p1 (1 - p2/6), E2 = 5/9 (p1 + p2 - 2 p1 p2) + p1 p2 p1 = 0.95 analytic = (p1 - 5 / 9 * p1) / (5 / 9 * (1 - 2 * p1) + p1 + p1 / 6) print(f" p2 crossover at p1=0.95: {x:.6f} (closed form {analytic:.6f})") assert 0.65 < x < 0.72 assert abs(x - analytic) < 1e-9 # --------------------------------------------------------------------------- # (c) Monte Carlo agreement, and exact agreement with brute force # --------------------------------------------------------------------------- def test_monte_carlo_matches_dp(): rng = np.random.default_rng(12345) n_draws = 200_000 worst = 0.0 for trial in range(16): m = int(rng.integers(1, 9)) if trial % 3 == 0: p = rng.random(m) elif trial % 3 == 1: p = rng.beta(0.5, 0.5, m) else: p = rng.beta(0.4, 3.0, m) p = np.sort(p)[::-1] dp = expected_f05_topk(p) y = rng.random((n_draws, m)) < p # independent labels n = y.sum(axis=1) tp = np.cumsum(y, axis=1) mc = np.empty(m + 1) mc[0] = (n == 0).mean() for k in range(1, m + 1): t = tp[:, k - 1] mc[k] = np.where(t > 0, 5.0 * t / (4.0 * k + n), 0.0).mean() err = np.abs(mc - dp).max() worst = max(worst, err) assert err < 0.005, (p, mc, dp) print(f" max |MC - DP| over 16 vectors: {worst:.5f}") def test_exact_vs_enumeration_and_naive(): rng = np.random.default_rng(7) for m in range(1, 9): p = rng.random(m) dp = expected_f05_topk(p) assert np.allclose(dp, _expected_enumerate(p), atol=1e-12, rtol=0) assert np.allclose(dp, _expected_naive(p), atol=1e-12, rtol=0) # large m against the O(m^3) reference for m in (30, 60): p = np.concatenate([rng.beta(5, 1, 3), rng.beta(0.3, 6, m - 3)]) dp = expected_f05_topk(p) assert np.allclose(dp, _expected_naive(p), atol=1e-12, rtol=0) assert (dp >= -1e-15).all() and (dp <= 1 + 1e-12).all() def test_input_order_irrelevant_and_edge_probs(): p = np.array([0.1, 0.9, 0.0, 1.0, 0.3]) assert np.allclose(expected_f05_topk(p), expected_f05_topk(p[::-1])) k, v = best_subset(np.array([1.0, 1.0, 0.0])) assert k == 2 and math.isclose(v, 1.0) assert best_subset(np.array([np.nan, 0.2]))[0] == 0 def test_min_prob_and_max_k(): p = np.array([0.99, 0.97, 0.96, 0.95]) assert best_subset(p)[0] == 4 assert best_subset(p, max_k=2)[0] == 2 assert best_subset(p, min_prob=0.965)[0] == 2 E = expected_f05_topk(p) assert math.isclose(best_subset(p, max_k=2)[1], E[:3].max()) assert best_subset(np.array([0.6]), min_prob=0.7)[0] == 0 def test_threshold_decode(): p = np.array([0.2, 0.5, 0.51, 0.9]) assert threshold_decode(p, 0.5).tolist() == [False, False, True, True] # --------------------------------------------------------------------------- # (d) decode_all agrees with best_subset per entity # --------------------------------------------------------------------------- def _synthetic(n_ent=3000, max_m=60, seed=3): rng = np.random.default_rng(seed) m = rng.integers(1, max_m + 1, size=n_ent) ids = np.array([f"S1-{i:06d}" for i in range(n_ent)], dtype=object) s1 = np.repeat(ids, m) N = int(m.sum()) p = np.where(rng.random(N) < 0.08, rng.beta(4, 1, N), rng.beta(0.4, 4, N)) perm = rng.permutation(N) # rows not grouped by entity return s1[perm], p[perm] def _check_against_best_subset(s1, p, out, **kw): by_ent = {} for i, sid in enumerate(s1.tolist()): by_ent.setdefault(sid, []).append(i) assert set(out) == set(by_ent) for sid, rows in by_ent.items(): rows = np.array(rows) k, _ = best_subset(p[rows], **kw) top = rows[np.argsort(-p[rows], kind="stable")[:k]] assert sorted(out[sid]) == sorted(top.tolist()), sid def test_decode_all_matches_best_subset(): s1, p = _synthetic() assert len(p) > 50_000 # large enough to use the pool out_mp = decode_all(s1, p, n_jobs=2) out_1 = decode_all(s1, p, n_jobs=1) assert out_mp == out_1 _check_against_best_subset(s1, p, out_mp) # expected values agree too r = decode_arrays(s1, p, n_jobs=1) for e in range(0, len(r.entity_ids), 97): rows = np.flatnonzero(s1 == r.entity_ids[e]) k, v = best_subset(p[rows]) assert k == r.k[e] and math.isclose(v, r.expected_f05[e], rel_tol=1e-12) def test_decode_all_caps_and_threshold(): s1, p = _synthetic(n_ent=800, seed=11) out = decode_all(s1, p, n_jobs=1, max_k=2, min_prob=0.3) _check_against_best_subset(s1, p, out, max_k=2, min_prob=0.3) out_t = decode_all(s1, p, n_jobs=1, method="threshold", threshold=0.4) mask = threshold_decode(p, 0.4) assert sorted(i for v in out_t.values() for i in v) == np.flatnonzero(mask).tolist() def test_decode_frame_roundtrip(): import pandas as pd from src.decode import decode_frame, pred_dict_from_frame from src.metric import macro_f05 df = pd.DataFrame({ "source1_entity_id": ["a", "a", "b", "c", "c", "c"], "candidate_entity_id": ["x1", "x2", "y1", "z1", "z2", "z3"], "prob": [0.9, 0.2, 0.3, 0.97, 0.96, 0.1], }) fr = decode_frame(df, n_jobs=1) pred = pred_dict_from_frame(fr) assert pred == {"a": {"x1"}, "b": set(), "c": {"z1", "z2"}} assert fr.set_index("source1_entity_id").loc["c", "matched_entity_ids"] == ["z1", "z2"] truth = {"a": {"x1"}, "b": set(), "c": {"z1", "z2"}, "d": set()} assert macro_f05(pred, truth) == 1.0 def _run_all(): mod = sys.modules[__name__] names = [n for n in dir(mod) if n.startswith("test_") and callable(getattr(mod, n))] failed = 0 for n in names: try: getattr(mod, n)() print(f"PASS {n}") except Exception as e: # noqa: BLE001 failed += 1 import traceback traceback.print_exc() print(f"FAIL {n}: {type(e).__name__}: {e}") print(f"{len(names) - failed}/{len(names)} passed") return failed if __name__ == "__main__": raise SystemExit(1 if _run_all() else 0)