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synced 2024-11-21 12:59:38 +01:00
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@ -1,3 +1,6 @@
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from math import copysign, isnan
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class ExceptionIsLikeMixin:
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def assertExceptionIsLike(self, exc, template):
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"""
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@ -23,3 +26,40 @@ class ExceptionIsLikeMixin:
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self.assertEqual(len(exc.exceptions), len(template.exceptions))
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for e, t in zip(exc.exceptions, template.exceptions):
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self.assertExceptionIsLike(e, t)
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class FloatsAreIdenticalMixin:
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def assertFloatsAreIdentical(self, x, y):
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"""Fail unless floats x and y are identical, in the sense that:
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(1) both x and y are nans, or
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(2) both x and y are infinities, with the same sign, or
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(3) both x and y are zeros, with the same sign, or
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(4) x and y are both finite and nonzero, and x == y
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"""
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msg = 'floats {!r} and {!r} are not identical'
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if isnan(x) or isnan(y):
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if isnan(x) and isnan(y):
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return
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elif x == y:
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if x != 0.0:
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return
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# both zero; check that signs match
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elif copysign(1.0, x) == copysign(1.0, y):
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return
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else:
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msg += ': zeros have different signs'
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self.fail(msg.format(x, y))
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class ComplexesAreIdenticalMixin(FloatsAreIdenticalMixin):
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def assertComplexesAreIdentical(self, x, y):
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"""Fail unless complex numbers x and y have equal values and signs.
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In particular, if x and y both have real (or imaginary) part
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zero, but the zeros have different signs, this test will fail.
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"""
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self.assertFloatsAreIdentical(x.real, y.real)
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self.assertFloatsAreIdentical(x.imag, y.imag)
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@ -6,6 +6,7 @@ from test import support
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from test.support import import_helper
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from test.support import script_helper
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from test.support import warnings_helper
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from test.support.testcase import FloatsAreIdenticalMixin
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# Skip this test if the _testcapi module isn't available.
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_testcapi = import_helper.import_module('_testcapi')
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from _testcapi import getargs_keywords, getargs_keyword_only
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@ -436,11 +437,7 @@ class LongLong_TestCase(unittest.TestCase):
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self.assertEqual(VERY_LARGE & ULLONG_MAX, getargs_K(VERY_LARGE))
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class Float_TestCase(unittest.TestCase):
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def assertEqualWithSign(self, actual, expected):
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self.assertEqual(actual, expected)
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self.assertEqual(math.copysign(1, actual), math.copysign(1, expected))
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class Float_TestCase(unittest.TestCase, FloatsAreIdenticalMixin):
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def test_f(self):
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from _testcapi import getargs_f
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self.assertEqual(getargs_f(4.25), 4.25)
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@ -462,10 +459,10 @@ class Float_TestCase(unittest.TestCase):
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self.assertEqual(getargs_f(DBL_MAX), INF)
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self.assertEqual(getargs_f(-DBL_MAX), -INF)
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if FLT_MIN > DBL_MIN:
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self.assertEqualWithSign(getargs_f(DBL_MIN), 0.0)
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self.assertEqualWithSign(getargs_f(-DBL_MIN), -0.0)
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self.assertEqualWithSign(getargs_f(0.0), 0.0)
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self.assertEqualWithSign(getargs_f(-0.0), -0.0)
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self.assertFloatsAreIdentical(getargs_f(DBL_MIN), 0.0)
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self.assertFloatsAreIdentical(getargs_f(-DBL_MIN), -0.0)
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self.assertFloatsAreIdentical(getargs_f(0.0), 0.0)
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self.assertFloatsAreIdentical(getargs_f(-0.0), -0.0)
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r = getargs_f(NAN)
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self.assertNotEqual(r, r)
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@ -494,8 +491,8 @@ class Float_TestCase(unittest.TestCase):
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self.assertEqual(getargs_d(x), x)
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self.assertRaises(OverflowError, getargs_d, 1<<DBL_MAX_EXP)
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self.assertRaises(OverflowError, getargs_d, -1<<DBL_MAX_EXP)
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self.assertEqualWithSign(getargs_d(0.0), 0.0)
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self.assertEqualWithSign(getargs_d(-0.0), -0.0)
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self.assertFloatsAreIdentical(getargs_d(0.0), 0.0)
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self.assertFloatsAreIdentical(getargs_d(-0.0), -0.0)
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r = getargs_d(NAN)
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self.assertNotEqual(r, r)
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@ -519,10 +516,10 @@ class Float_TestCase(unittest.TestCase):
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self.assertEqual(getargs_D(c), c)
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c = complex(1.0, x)
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self.assertEqual(getargs_D(c), c)
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self.assertEqualWithSign(getargs_D(complex(0.0, 1.0)).real, 0.0)
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self.assertEqualWithSign(getargs_D(complex(-0.0, 1.0)).real, -0.0)
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self.assertEqualWithSign(getargs_D(complex(1.0, 0.0)).imag, 0.0)
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self.assertEqualWithSign(getargs_D(complex(1.0, -0.0)).imag, -0.0)
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self.assertFloatsAreIdentical(getargs_D(complex(0.0, 1.0)).real, 0.0)
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self.assertFloatsAreIdentical(getargs_D(complex(-0.0, 1.0)).real, -0.0)
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self.assertFloatsAreIdentical(getargs_D(complex(1.0, 0.0)).imag, 0.0)
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self.assertFloatsAreIdentical(getargs_D(complex(1.0, -0.0)).imag, -0.0)
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class Paradox:
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@ -1,4 +1,5 @@
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from test.support import requires_IEEE_754, cpython_only, import_helper
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from test.support.testcase import ComplexesAreIdenticalMixin
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from test.test_math import parse_testfile, test_file
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import test.test_math as test_math
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import unittest
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@ -49,7 +50,7 @@ complex_nans = [complex(x, y) for x, y in [
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(INF, NAN)
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]]
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class CMathTests(unittest.TestCase):
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class CMathTests(ComplexesAreIdenticalMixin, unittest.TestCase):
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# list of all functions in cmath
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test_functions = [getattr(cmath, fname) for fname in [
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'acos', 'acosh', 'asin', 'asinh', 'atan', 'atanh',
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@ -65,39 +66,6 @@ class CMathTests(unittest.TestCase):
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def tearDown(self):
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self.test_values.close()
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def assertFloatIdentical(self, x, y):
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"""Fail unless floats x and y are identical, in the sense that:
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(1) both x and y are nans, or
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(2) both x and y are infinities, with the same sign, or
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(3) both x and y are zeros, with the same sign, or
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(4) x and y are both finite and nonzero, and x == y
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"""
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msg = 'floats {!r} and {!r} are not identical'
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if math.isnan(x) or math.isnan(y):
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if math.isnan(x) and math.isnan(y):
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return
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elif x == y:
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if x != 0.0:
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return
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# both zero; check that signs match
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elif math.copysign(1.0, x) == math.copysign(1.0, y):
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return
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else:
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msg += ': zeros have different signs'
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self.fail(msg.format(x, y))
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def assertComplexIdentical(self, x, y):
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"""Fail unless complex numbers x and y have equal values and signs.
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In particular, if x and y both have real (or imaginary) part
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zero, but the zeros have different signs, this test will fail.
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"""
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self.assertFloatIdentical(x.real, y.real)
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self.assertFloatIdentical(x.imag, y.imag)
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def rAssertAlmostEqual(self, a, b, rel_err = 2e-15, abs_err = 5e-323,
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msg=None):
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"""Fail if the two floating-point numbers are not almost equal.
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@ -555,7 +523,7 @@ class CMathTests(unittest.TestCase):
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@requires_IEEE_754
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def testTanhSign(self):
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for z in complex_zeros:
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self.assertComplexIdentical(cmath.tanh(z), z)
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self.assertComplexesAreIdentical(cmath.tanh(z), z)
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# The algorithm used for atan and atanh makes use of the system
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# log1p function; If that system function doesn't respect the sign
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@ -564,12 +532,12 @@ class CMathTests(unittest.TestCase):
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@requires_IEEE_754
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def testAtanSign(self):
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for z in complex_zeros:
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self.assertComplexIdentical(cmath.atan(z), z)
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self.assertComplexesAreIdentical(cmath.atan(z), z)
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@requires_IEEE_754
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def testAtanhSign(self):
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for z in complex_zeros:
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self.assertComplexIdentical(cmath.atanh(z), z)
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self.assertComplexesAreIdentical(cmath.atanh(z), z)
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class IsCloseTests(test_math.IsCloseTests):
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import unittest
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import sys
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from test import support
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from test.support.testcase import ComplexesAreIdenticalMixin
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from test.test_grammar import (VALID_UNDERSCORE_LITERALS,
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INVALID_UNDERSCORE_LITERALS)
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@ -52,7 +53,7 @@ class WithComplex:
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def __complex__(self):
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return self.value
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class ComplexTest(unittest.TestCase):
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class ComplexTest(ComplexesAreIdenticalMixin, unittest.TestCase):
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def assertAlmostEqual(self, a, b):
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if isinstance(a, complex):
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@ -81,33 +82,6 @@ class ComplexTest(unittest.TestCase):
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# check that relative difference < eps
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self.assertTrue(abs((x-y)/y) < eps)
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def assertFloatsAreIdentical(self, x, y):
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"""assert that floats x and y are identical, in the sense that:
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(1) both x and y are nans, or
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(2) both x and y are infinities, with the same sign, or
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(3) both x and y are zeros, with the same sign, or
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(4) x and y are both finite and nonzero, and x == y
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"""
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msg = 'floats {!r} and {!r} are not identical'
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if isnan(x) or isnan(y):
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if isnan(x) and isnan(y):
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return
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elif x == y:
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if x != 0.0:
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return
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# both zero; check that signs match
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elif copysign(1.0, x) == copysign(1.0, y):
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return
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else:
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msg += ': zeros have different signs'
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self.fail(msg.format(x, y))
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def assertComplexesAreIdentical(self, x, y):
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self.assertFloatsAreIdentical(x.real, y.real)
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self.assertFloatsAreIdentical(x.imag, y.imag)
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def assertClose(self, x, y, eps=1e-9):
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"""Return true iff complexes x and y "are close"."""
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self.assertCloseAbs(x.real, y.real, eps)
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@ -829,8 +803,7 @@ class ComplexTest(unittest.TestCase):
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for y in vals:
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z = complex(x, y)
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roundtrip = complex(repr(z))
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self.assertFloatsAreIdentical(z.real, roundtrip.real)
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self.assertFloatsAreIdentical(z.imag, roundtrip.imag)
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self.assertComplexesAreIdentical(z, roundtrip)
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# if we predefine some constants, then eval(repr(z)) should
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# also work, except that it might change the sign of zeros
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import sys
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import unittest
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from itertools import combinations
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from math import copysign, isnan
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from operator import truth
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from ctypes import (byref, sizeof, alignment,
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c_char, c_byte, c_ubyte, c_short, c_ushort, c_int, c_uint,
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c_long, c_ulong, c_longlong, c_ulonglong,
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c_float, c_double, c_longdouble, c_bool)
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from test.support.testcase import ComplexesAreIdenticalMixin
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def valid_ranges(*types):
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@ -62,34 +62,7 @@ INF = float("inf")
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NAN = float("nan")
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class NumberTestCase(unittest.TestCase):
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# from Lib/test/test_complex.py
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def assertFloatsAreIdentical(self, x, y):
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"""assert that floats x and y are identical, in the sense that:
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(1) both x and y are nans, or
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(2) both x and y are infinities, with the same sign, or
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(3) both x and y are zeros, with the same sign, or
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(4) x and y are both finite and nonzero, and x == y
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"""
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msg = 'floats {!r} and {!r} are not identical'
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if isnan(x) or isnan(y):
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if isnan(x) and isnan(y):
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return
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elif x == y:
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if x != 0.0:
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return
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# both zero; check that signs match
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elif copysign(1.0, x) == copysign(1.0, y):
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return
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else:
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msg += ': zeros have different signs'
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self.fail(msg.format(x, y))
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def assertComplexesAreIdentical(self, x, y):
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self.assertFloatsAreIdentical(x.real, y.real)
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self.assertFloatsAreIdentical(x.imag, y.imag)
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class NumberTestCase(unittest.TestCase, ComplexesAreIdenticalMixin):
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def test_default_init(self):
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# default values are set to zero
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@ -8,6 +8,7 @@ import time
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import unittest
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from test import support
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from test.support.testcase import FloatsAreIdenticalMixin
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from test.test_grammar import (VALID_UNDERSCORE_LITERALS,
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INVALID_UNDERSCORE_LITERALS)
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from math import isinf, isnan, copysign, ldexp
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@ -1093,21 +1094,14 @@ class InfNanTest(unittest.TestCase):
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fromHex = float.fromhex
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toHex = float.hex
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class HexFloatTestCase(unittest.TestCase):
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class HexFloatTestCase(FloatsAreIdenticalMixin, unittest.TestCase):
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MAX = fromHex('0x.fffffffffffff8p+1024') # max normal
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MIN = fromHex('0x1p-1022') # min normal
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TINY = fromHex('0x0.0000000000001p-1022') # min subnormal
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EPS = fromHex('0x0.0000000000001p0') # diff between 1.0 and next float up
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def identical(self, x, y):
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# check that floats x and y are identical, or that both
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# are NaNs
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if isnan(x) or isnan(y):
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if isnan(x) == isnan(y):
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return
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elif x == y and (x != 0.0 or copysign(1.0, x) == copysign(1.0, y)):
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return
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self.fail('%r not identical to %r' % (x, y))
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self.assertFloatsAreIdentical(x, y)
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def test_ends(self):
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self.identical(self.MIN, ldexp(1.0, -1022))
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