Impact, every sweep regenerated: the paper's key configurations are unchanged to the evaluation (proposed 2806/3220, credit 3568/3020, Chandrupatla, TOMS 748, Brent, bisection); 46 stated numbers move (ITP CHA 2857 -> 2896, ITP oracle 2611 -> 2647, record CHA figures by 14-18, the grid means by ~1%) and one finding weakens: the measured-order exponent of section 7.1 was cheaper in 29 of 60 far cells and 7 of 7 safeguards; with the fix 12 of 61 and 6 of 7, and on the wide-bracket set it now loses in every safeguard and drops 5 problems. PREREG G1-G3 outcome on the fixed code: G2 (repeating step pattern, period from the data) PASSES Y1-Y4 and is ACCEPTED by the stop rule - proposed rule APS 2806 -> 2782 (below Chandrupatla's 2787), CHA 3220 -> 3169, both 6026 -> 5951, per problem vs Chandrupatla on APS 95/20/38 p = 8e-7. G1 fails Y1/Y2 (its Y3 miss was the sign bug), G3 fails Y2, A fails Y2. Regression 887 pass; the two red tests are the paper-number check (awaiting the paper update) and test_blend (fixed since, copy in stage16). Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
47 lines
1.9 KiB
Python
47 lines
1.9 KiB
Python
"""REGRESSION, 2026-09-21: sign tests by product underflowed on flat functions.
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`FA * fnew < 0.0` with FA ~ -1e-200 and fnew ~ 1e-150 is -0.0, and '-0.0 < 0.0' is
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False: the bracket update moved the wrong end, the root left the bracket, and the run
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still reported convergence - on fun6.5 (x^19 over [-10, 100]) the proposed rule returned
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6.7e-9 and a lengthening mode 1.27e-6 with a claimed 1e-12 bracket. The same product
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test sat in our bisection, false-position family, Ridders, Brent and ITP.
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"""
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from __future__ import annotations
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import pytest
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from simroot.baselines import (_opposite, _same_sign, bisection, illinois, itp,
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regula_falsi, ridders)
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from simroot.pure import pure_root
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XTOL, MAXFEV = 1e-12, 200
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def test_the_product_underflows_and_the_sign_test_does_not():
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u, v = -1e-200, 1e-150
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assert u * v == 0.0 # the defect, pinned
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assert _opposite(u, v) and not _same_sign(u, v)
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assert _same_sign(-1e-200, -1e-150) and not _opposite(-1e-200, -1e-150)
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assert not _opposite(0.0, 1.0) and not _same_sign(0.0, 1.0)
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def power19(t):
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return t ** 19
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@pytest.mark.parametrize("guard", ("project", "safe", "credit", "none"))
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@pytest.mark.parametrize("extrapolate", ("none", "confirmed"))
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def test_the_method_keeps_the_root_in_the_bracket_on_x19(guard, extrapolate):
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for sim in ("ratio", "cbrt"):
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x, n, ok = pure_root(power19, -10.0, 100.0, XTOL, MAXFEV, similarity=sim,
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scale="derived3", guard=guard, extrapolate=extrapolate)
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if ok:
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assert abs(x) <= XTOL, (sim, guard, extrapolate, x)
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@pytest.mark.parametrize("method", (bisection, regula_falsi, illinois, ridders, itp))
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def test_the_classical_methods_keep_the_root_on_x19(method):
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x, n, ok = method(power19, -10.0, 100.0, XTOL, MAXFEV)
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if ok:
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assert abs(x) <= XTOL, (method.__name__, x)
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