86 lines
3.1 KiB
Python
86 lines
3.1 KiB
Python
import numpy as np
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import pytest
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from numpy.testing import assert_allclose, assert_equal
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from scipy.special._ufuncs import _log1mexp
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# # Test cases generated with the script
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#
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# import numpy as np
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# from mpmath import mp
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# def mp_log1mexp(x):
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# with mp.workdps(324):
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# return float(mp.log(mp.one - mp.exp(x)))
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# X = np.concat([-np.logspace(-1, -300, 20), np.linspace(-745, -1, 20)])
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# cases = [(float(x), mp_log1mexp(x)) for x in X]
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@pytest.mark.parametrize(
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"x,expected",
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[
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(-0.1, -2.3521684610440907),
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(-1.8329807108324374e-17, -38.538003135374026),
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(-3.359818286283788e-33, -74.773421177754),
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(-6.1584821106602796e-49, -111.00883922013399),
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(-1.1288378916846929e-64, -147.24425726251397),
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(-2.0691380811148324e-80, -183.47967530489393),
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(-3.792690190732269e-96, -219.71509334727392),
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(-6.951927961775534e-112, -255.95051138965394),
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(-1.2742749857031425e-127, -292.1859294320339),
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(-2.3357214690901785e-143, -328.42134747441384),
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(-4.281332398719571e-159, -364.6567655167938),
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(-7.847599703514559e-175, -400.8921835591739),
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(-1.4384498882876776e-190, -437.1276016015538),
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(-2.6366508987304307e-206, -473.3630196439338),
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(-4.832930238571653e-222, -509.59843768631384),
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(-8.858667904100796e-238, -545.8338557286938),
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(-1.623776739188744e-253, -582.0692737710738),
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(-2.9763514416312156e-269, -618.3046918134538),
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(-5.455594781168782e-285, -654.5401098558336),
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(-1e-300, -690.7755278982137),
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(-745.0, -5e-324),
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(-705.8421052631579, -2.8619931451743316e-307),
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(-666.6842105263158, -2.9021923726875757e-290),
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(-627.5263157894738, -2.9429562339405562e-273),
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(-588.3684210526316, -2.9842926597143714e-256),
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(-549.2105263157895, -3.0262096921839423e-239),
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(-510.0526315789474, -3.0687154864846747e-222),
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(-470.89473684210526, -3.1118183122979086e-205),
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(-431.7368421052632, -3.155526555459449e-188),
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(-392.5789473684211, -3.1998487195921207e-171),
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(-353.42105263157896, -3.2447934277596653e-154),
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(-314.2631578947369, -3.2903694241438367e-137),
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(-275.1052631578948, -3.3365855757467166e-120),
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(-235.94736842105266, -3.3834508741152875e-103),
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(-196.78947368421052, -3.4309744370903894e-86),
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(-157.63157894736844, -3.4791655105810003e-69),
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(-118.47368421052636, -3.528033470363468e-52),
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(-79.31578947368428, -3.577587823905024e-35),
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(-40.157894736842195, -3.627838212213697e-18),
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(-1.0, -0.4586751453870819),
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]
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)
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def test_log1mexp(x, expected):
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observed = _log1mexp(x)
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assert_allclose(observed, expected, rtol=1e-15)
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@pytest.mark.parametrize("x", [1.1, 1e10, np.inf])
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def test_log1mexp_out_of_domain(x):
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observed = _log1mexp(x)
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assert np.isnan(observed)
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@pytest.mark.parametrize(
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"x,expected",
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[(-np.inf, -0.0), (0.0, -np.inf), (-0.0, -np.inf), (np.nan, np.nan)]
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)
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def test_log1mexp_extreme(x, expected):
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observed = _log1mexp(x)
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assert_equal(expected, observed)
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