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author | Mark Dickinson <dickinsm@gmail.com> | 2017-01-21 13:10:52 (GMT) |
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committer | Mark Dickinson <dickinsm@gmail.com> | 2017-01-21 13:10:52 (GMT) |
commit | 5e65cd39dfe73891b16d9c771892e1bc282c1eb9 (patch) | |
tree | 1e35edf9a52cf7f8f677e971be50ad0391c48dd0 /Lib/test | |
parent | d1b230e48b81eb90d10f0ceb4e34c547800bd3a8 (diff) | |
download | cpython-5e65cd39dfe73891b16d9c771892e1bc282c1eb9.zip cpython-5e65cd39dfe73891b16d9c771892e1bc282c1eb9.tar.gz cpython-5e65cd39dfe73891b16d9c771892e1bc282c1eb9.tar.bz2 |
Issue #29282: Backed out changeset b33012ef1417
Diffstat (limited to 'Lib/test')
-rw-r--r-- | Lib/test/test_math.py | 234 |
1 files changed, 0 insertions, 234 deletions
diff --git a/Lib/test/test_math.py b/Lib/test/test_math.py index 516a004..eaa41bc 100644 --- a/Lib/test/test_math.py +++ b/Lib/test/test_math.py @@ -4,7 +4,6 @@ from test.support import run_unittest, verbose, requires_IEEE_754 from test import support import unittest -import itertools import math import os import platform @@ -1411,244 +1410,11 @@ class IsCloseTests(unittest.TestCase): self.assertAllNotClose(fraction_examples, rel_tol=1e-9) -class FMATests(unittest.TestCase): - """ Tests for math.fma. """ - - def test_fma_nan_results(self): - # Selected representative values. - values = [ - -math.inf, -1e300, -2.3, -1e-300, -0.0, - 0.0, 1e-300, 2.3, 1e300, math.inf, math.nan - ] - - # If any input is a NaN, the result should be a NaN, too. - for a, b in itertools.product(values, repeat=2): - self.assertIsNaN(math.fma(math.nan, a, b)) - self.assertIsNaN(math.fma(a, math.nan, b)) - self.assertIsNaN(math.fma(a, b, math.nan)) - - def test_fma_infinities(self): - # Cases involving infinite inputs or results. - positives = [1e-300, 2.3, 1e300, math.inf] - finites = [-1e300, -2.3, -1e-300, -0.0, 0.0, 1e-300, 2.3, 1e300] - non_nans = [-math.inf, -2.3, -0.0, 0.0, 2.3, math.inf] - - # ValueError due to inf * 0 computation. - for c in non_nans: - for infinity in [math.inf, -math.inf]: - for zero in [0.0, -0.0]: - with self.assertRaises(ValueError): - math.fma(infinity, zero, c) - with self.assertRaises(ValueError): - math.fma(zero, infinity, c) - - # ValueError when a*b and c both infinite of opposite signs. - for b in positives: - with self.assertRaises(ValueError): - math.fma(math.inf, b, -math.inf) - with self.assertRaises(ValueError): - math.fma(math.inf, -b, math.inf) - with self.assertRaises(ValueError): - math.fma(-math.inf, -b, -math.inf) - with self.assertRaises(ValueError): - math.fma(-math.inf, b, math.inf) - with self.assertRaises(ValueError): - math.fma(b, math.inf, -math.inf) - with self.assertRaises(ValueError): - math.fma(-b, math.inf, math.inf) - with self.assertRaises(ValueError): - math.fma(-b, -math.inf, -math.inf) - with self.assertRaises(ValueError): - math.fma(b, -math.inf, math.inf) - - # Infinite result when a*b and c both infinite of the same sign. - for b in positives: - self.assertEqual(math.fma(math.inf, b, math.inf), math.inf) - self.assertEqual(math.fma(math.inf, -b, -math.inf), -math.inf) - self.assertEqual(math.fma(-math.inf, -b, math.inf), math.inf) - self.assertEqual(math.fma(-math.inf, b, -math.inf), -math.inf) - self.assertEqual(math.fma(b, math.inf, math.inf), math.inf) - self.assertEqual(math.fma(-b, math.inf, -math.inf), -math.inf) - self.assertEqual(math.fma(-b, -math.inf, math.inf), math.inf) - self.assertEqual(math.fma(b, -math.inf, -math.inf), -math.inf) - - # Infinite result when a*b finite, c infinite. - for a, b in itertools.product(finites, finites): - self.assertEqual(math.fma(a, b, math.inf), math.inf) - self.assertEqual(math.fma(a, b, -math.inf), -math.inf) - - # Infinite result when a*b infinite, c finite. - for b, c in itertools.product(positives, finites): - self.assertEqual(math.fma(math.inf, b, c), math.inf) - self.assertEqual(math.fma(-math.inf, b, c), -math.inf) - self.assertEqual(math.fma(-math.inf, -b, c), math.inf) - self.assertEqual(math.fma(math.inf, -b, c), -math.inf) - - self.assertEqual(math.fma(b, math.inf, c), math.inf) - self.assertEqual(math.fma(b, -math.inf, c), -math.inf) - self.assertEqual(math.fma(-b, -math.inf, c), math.inf) - self.assertEqual(math.fma(-b, math.inf, c), -math.inf) - - def test_fma_zero_result(self): - nonnegative_finites = [0.0, 1e-300, 2.3, 1e300] - - # Zero results from exact zero inputs. - for b in nonnegative_finites: - self.assertIsPositiveZero(math.fma(0.0, b, 0.0)) - self.assertIsPositiveZero(math.fma(0.0, b, -0.0)) - self.assertIsNegativeZero(math.fma(0.0, -b, -0.0)) - self.assertIsPositiveZero(math.fma(0.0, -b, 0.0)) - self.assertIsPositiveZero(math.fma(-0.0, -b, 0.0)) - self.assertIsPositiveZero(math.fma(-0.0, -b, -0.0)) - self.assertIsNegativeZero(math.fma(-0.0, b, -0.0)) - self.assertIsPositiveZero(math.fma(-0.0, b, 0.0)) - - self.assertIsPositiveZero(math.fma(b, 0.0, 0.0)) - self.assertIsPositiveZero(math.fma(b, 0.0, -0.0)) - self.assertIsNegativeZero(math.fma(-b, 0.0, -0.0)) - self.assertIsPositiveZero(math.fma(-b, 0.0, 0.0)) - self.assertIsPositiveZero(math.fma(-b, -0.0, 0.0)) - self.assertIsPositiveZero(math.fma(-b, -0.0, -0.0)) - self.assertIsNegativeZero(math.fma(b, -0.0, -0.0)) - self.assertIsPositiveZero(math.fma(b, -0.0, 0.0)) - - # Exact zero result from nonzero inputs. - self.assertIsPositiveZero(math.fma(2.0, 2.0, -4.0)) - self.assertIsPositiveZero(math.fma(2.0, -2.0, 4.0)) - self.assertIsPositiveZero(math.fma(-2.0, -2.0, -4.0)) - self.assertIsPositiveZero(math.fma(-2.0, 2.0, 4.0)) - - # Underflow to zero. - tiny = 1e-300 - self.assertIsPositiveZero(math.fma(tiny, tiny, 0.0)) - self.assertIsNegativeZero(math.fma(tiny, -tiny, 0.0)) - self.assertIsPositiveZero(math.fma(-tiny, -tiny, 0.0)) - self.assertIsNegativeZero(math.fma(-tiny, tiny, 0.0)) - self.assertIsPositiveZero(math.fma(tiny, tiny, -0.0)) - self.assertIsNegativeZero(math.fma(tiny, -tiny, -0.0)) - self.assertIsPositiveZero(math.fma(-tiny, -tiny, -0.0)) - self.assertIsNegativeZero(math.fma(-tiny, tiny, -0.0)) - - # Corner case where rounding the multiplication would - # give the wrong result. - x = float.fromhex('0x1p-500') - y = float.fromhex('0x1p-550') - z = float.fromhex('0x1p-1000') - self.assertIsNegativeZero(math.fma(x-y, x+y, -z)) - self.assertIsPositiveZero(math.fma(y-x, x+y, z)) - self.assertIsNegativeZero(math.fma(y-x, -(x+y), -z)) - self.assertIsPositiveZero(math.fma(x-y, -(x+y), z)) - - def test_fma_overflow(self): - a = b = float.fromhex('0x1p512') - c = float.fromhex('0x1p1023') - # Overflow from multiplication. - with self.assertRaises(OverflowError): - math.fma(a, b, 0.0) - self.assertEqual(math.fma(a, b/2.0, 0.0), c) - # Overflow from the addition. - with self.assertRaises(OverflowError): - math.fma(a, b/2.0, c) - # No overflow, even though a*b overflows a float. - self.assertEqual(math.fma(a, b, -c), c) - - # Extreme case: a * b is exactly at the overflow boundary, so the - # tiniest offset makes a difference between overflow and a finite - # result. - a = float.fromhex('0x1.ffffffc000000p+511') - b = float.fromhex('0x1.0000002000000p+512') - c = float.fromhex('0x0.0000000000001p-1022') - with self.assertRaises(OverflowError): - math.fma(a, b, 0.0) - with self.assertRaises(OverflowError): - math.fma(a, b, c) - self.assertEqual(math.fma(a, b, -c), - float.fromhex('0x1.fffffffffffffp+1023')) - - # Another extreme case: here a*b is about as large as possible subject - # to math.fma(a, b, c) being finite. - a = float.fromhex('0x1.ae565943785f9p+512') - b = float.fromhex('0x1.3094665de9db8p+512') - c = float.fromhex('0x1.fffffffffffffp+1023') - self.assertEqual(math.fma(a, b, -c), c) - - def test_fma_single_round(self): - a = float.fromhex('0x1p-50') - self.assertEqual(math.fma(a - 1.0, a + 1.0, 1.0), a*a) - - def test_random(self): - # A collection of randomly generated inputs for which the naive FMA - # (with two rounds) gives a different result from a singly-rounded FMA. - - # tuples (a, b, c, expected) - test_values = [ - ('0x1.694adde428b44p-1', '0x1.371b0d64caed7p-1', - '0x1.f347e7b8deab8p-4', '0x1.19f10da56c8adp-1'), - ('0x1.605401ccc6ad6p-2', '0x1.ce3a40bf56640p-2', - '0x1.96e3bf7bf2e20p-2', '0x1.1af6d8aa83101p-1'), - ('0x1.e5abd653a67d4p-2', '0x1.a2e400209b3e6p-1', - '0x1.a90051422ce13p-1', '0x1.37d68cc8c0fbbp+0'), - ('0x1.f94e8efd54700p-2', '0x1.123065c812cebp-1', - '0x1.458f86fb6ccd0p-1', '0x1.ccdcee26a3ff3p-1'), - ('0x1.bd926f1eedc96p-1', '0x1.eee9ca68c5740p-1', - '0x1.960c703eb3298p-2', '0x1.3cdcfb4fdb007p+0'), - ('0x1.27348350fbccdp-1', '0x1.3b073914a53f1p-1', - '0x1.e300da5c2b4cbp-1', '0x1.4c51e9a3c4e29p+0'), - ('0x1.2774f00b3497bp-1', '0x1.7038ec336bff0p-2', - '0x1.2f6f2ccc3576bp-1', '0x1.99ad9f9c2688bp-1'), - ('0x1.51d5a99300e5cp-1', '0x1.5cd74abd445a1p-1', - '0x1.8880ab0bbe530p-1', '0x1.3756f96b91129p+0'), - ('0x1.73cb965b821b8p-2', '0x1.218fd3d8d5371p-1', - '0x1.d1ea966a1f758p-2', '0x1.5217b8fd90119p-1'), - ('0x1.4aa98e890b046p-1', '0x1.954d85dff1041p-1', - '0x1.122b59317ebdfp-1', '0x1.0bf644b340cc5p+0'), - ('0x1.e28f29e44750fp-1', '0x1.4bcc4fdcd18fep-1', - '0x1.fd47f81298259p-1', '0x1.9b000afbc9995p+0'), - ('0x1.d2e850717fe78p-3', '0x1.1dd7531c303afp-1', - '0x1.e0869746a2fc2p-2', '0x1.316df6eb26439p-1'), - ('0x1.cf89c75ee6fbap-2', '0x1.b23decdc66825p-1', - '0x1.3d1fe76ac6168p-1', '0x1.00d8ea4c12abbp+0'), - ('0x1.3265ae6f05572p-2', '0x1.16d7ec285f7a2p-1', - '0x1.0b8405b3827fbp-1', '0x1.5ef33c118a001p-1'), - ('0x1.c4d1bf55ec1a5p-1', '0x1.bc59618459e12p-2', - '0x1.ce5b73dc1773dp-1', '0x1.496cf6164f99bp+0'), - ('0x1.d350026ac3946p-1', '0x1.9a234e149a68cp-2', - '0x1.f5467b1911fd6p-2', '0x1.b5cee3225caa5p-1'), - ] - for a_hex, b_hex, c_hex, expected_hex in test_values: - a = float.fromhex(a_hex) - b = float.fromhex(b_hex) - c = float.fromhex(c_hex) - expected = float.fromhex(expected_hex) - self.assertEqual(math.fma(a, b, c), expected) - self.assertEqual(math.fma(b, a, c), expected) - - # Custom assertions. - def assertIsNaN(self, value): - self.assertTrue( - math.isnan(value), - msg="Expected a NaN, got {!r}".format(value) - ) - - def assertIsPositiveZero(self, value): - self.assertTrue( - value == 0 and math.copysign(1, value) > 0, - msg="Expected a positive zero, got {!r}".format(value) - ) - - def assertIsNegativeZero(self, value): - self.assertTrue( - value == 0 and math.copysign(1, value) < 0, - msg="Expected a negative zero, got {!r}".format(value) - ) - - def test_main(): from doctest import DocFileSuite suite = unittest.TestSuite() suite.addTest(unittest.makeSuite(MathTests)) suite.addTest(unittest.makeSuite(IsCloseTests)) - suite.addTest(unittest.makeSuite(FMATests)) suite.addTest(DocFileSuite("ieee754.txt")) run_unittest(suite) |