| 1 |
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| 2 | import unittest, struct
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| 3 | import os
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| 4 | from test import test_support
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| 5 | import math
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| 6 | from math import isinf, isnan, copysign, ldexp
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| 7 | import operator
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| 8 | import random
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| 9 | import fractions
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| 10 | import sys
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| 11 |
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| 12 | INF = float("inf")
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| 13 | NAN = float("nan")
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| 14 |
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| 15 | have_getformat = hasattr(float, "__getformat__")
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| 16 | requires_getformat = unittest.skipUnless(have_getformat,
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| 17 | "requires __getformat__")
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| 18 | requires_setformat = unittest.skipUnless(hasattr(float, "__setformat__"),
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| 19 | "requires __setformat__")
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| 20 | # decorator for skipping tests on non-IEEE 754 platforms
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| 21 | requires_IEEE_754 = unittest.skipUnless(have_getformat and
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| 22 | float.__getformat__("double").startswith("IEEE"),
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| 23 | "test requires IEEE 754 doubles")
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| 24 |
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| 25 | #locate file with float format test values
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| 26 | test_dir = os.path.dirname(__file__) or os.curdir
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| 27 | format_testfile = os.path.join(test_dir, 'formatfloat_testcases.txt')
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| 28 |
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| 29 | class GeneralFloatCases(unittest.TestCase):
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| 30 |
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| 31 | def test_float(self):
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| 32 | self.assertEqual(float(3.14), 3.14)
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| 33 | self.assertEqual(float(314), 314.0)
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| 34 | self.assertEqual(float(314L), 314.0)
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| 35 | self.assertEqual(float(" 3.14 "), 3.14)
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| 36 | self.assertRaises(ValueError, float, " 0x3.1 ")
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| 37 | self.assertRaises(ValueError, float, " -0x3.p-1 ")
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| 38 | self.assertRaises(ValueError, float, " +0x3.p-1 ")
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| 39 | self.assertRaises(ValueError, float, "++3.14")
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| 40 | self.assertRaises(ValueError, float, "+-3.14")
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| 41 | self.assertRaises(ValueError, float, "-+3.14")
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| 42 | self.assertRaises(ValueError, float, "--3.14")
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| 43 | # check that we don't accept alternate exponent markers
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| 44 | self.assertRaises(ValueError, float, "-1.7d29")
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| 45 | self.assertRaises(ValueError, float, "3D-14")
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| 46 | if test_support.have_unicode:
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| 47 | self.assertEqual(float(unicode(" 3.14 ")), 3.14)
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| 48 | self.assertEqual(float(unicode(" \u0663.\u0661\u0664 ",'raw-unicode-escape')), 3.14)
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| 49 |
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| 50 | # extra long strings should no longer be a problem
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| 51 | # (in 2.6, long unicode inputs to float raised ValueError)
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| 52 | float('.' + '1'*1000)
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| 53 | float(unicode('.' + '1'*1000))
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| 54 |
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| 55 | def check_conversion_to_int(self, x):
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| 56 | """Check that int(x) has the correct value and type, for a float x."""
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| 57 | n = int(x)
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| 58 | if x >= 0.0:
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| 59 | # x >= 0 and n = int(x) ==> n <= x < n + 1
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| 60 | self.assertLessEqual(n, x)
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| 61 | self.assertLess(x, n + 1)
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| 62 | else:
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| 63 | # x < 0 and n = int(x) ==> n >= x > n - 1
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| 64 | self.assertGreaterEqual(n, x)
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| 65 | self.assertGreater(x, n - 1)
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| 66 |
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| 67 | # Result should be an int if within range, else a long.
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| 68 | if -sys.maxint-1 <= n <= sys.maxint:
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| 69 | self.assertEqual(type(n), int)
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| 70 | else:
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| 71 | self.assertEqual(type(n), long)
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| 72 |
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| 73 | # Double check.
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| 74 | self.assertEqual(type(int(n)), type(n))
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| 75 |
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| 76 | def test_conversion_to_int(self):
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| 77 | # Check that floats within the range of an int convert to type
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| 78 | # int, not long. (issue #11144.)
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| 79 | boundary = float(sys.maxint + 1)
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| 80 | epsilon = 2**-sys.float_info.mant_dig * boundary
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| 81 |
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| 82 | # These 2 floats are either side of the positive int/long boundary on
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| 83 | # both 32-bit and 64-bit systems.
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| 84 | self.check_conversion_to_int(boundary - epsilon)
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| 85 | self.check_conversion_to_int(boundary)
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| 86 |
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| 87 | # These floats are either side of the negative long/int boundary on
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| 88 | # 64-bit systems...
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| 89 | self.check_conversion_to_int(-boundary - 2*epsilon)
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| 90 | self.check_conversion_to_int(-boundary)
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| 91 |
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| 92 | # ... and these ones are either side of the negative long/int
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| 93 | # boundary on 32-bit systems.
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| 94 | self.check_conversion_to_int(-boundary - 1.0)
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| 95 | self.check_conversion_to_int(-boundary - 1.0 + 2*epsilon)
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| 96 |
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| 97 | @test_support.run_with_locale('LC_NUMERIC', 'fr_FR', 'de_DE')
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| 98 | def test_float_with_comma(self):
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| 99 | # set locale to something that doesn't use '.' for the decimal point
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| 100 | # float must not accept the locale specific decimal point but
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| 101 | # it still has to accept the normal python syntax
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| 102 | import locale
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| 103 | if not locale.localeconv()['decimal_point'] == ',':
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| 104 | return
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| 105 |
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| 106 | self.assertEqual(float(" 3.14 "), 3.14)
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| 107 | self.assertEqual(float("+3.14 "), 3.14)
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| 108 | self.assertEqual(float("-3.14 "), -3.14)
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| 109 | self.assertEqual(float(".14 "), .14)
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| 110 | self.assertEqual(float("3. "), 3.0)
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| 111 | self.assertEqual(float("3.e3 "), 3000.0)
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| 112 | self.assertEqual(float("3.2e3 "), 3200.0)
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| 113 | self.assertEqual(float("2.5e-1 "), 0.25)
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| 114 | self.assertEqual(float("5e-1"), 0.5)
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| 115 | self.assertRaises(ValueError, float, " 3,14 ")
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| 116 | self.assertRaises(ValueError, float, " +3,14 ")
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| 117 | self.assertRaises(ValueError, float, " -3,14 ")
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| 118 | self.assertRaises(ValueError, float, " 0x3.1 ")
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| 119 | self.assertRaises(ValueError, float, " -0x3.p-1 ")
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| 120 | self.assertRaises(ValueError, float, " +0x3.p-1 ")
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| 121 | self.assertEqual(float(" 25.e-1 "), 2.5)
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| 122 | self.assertEqual(test_support.fcmp(float(" .25e-1 "), .025), 0)
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| 123 |
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| 124 | def test_floatconversion(self):
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| 125 | # Make sure that calls to __float__() work properly
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| 126 | class Foo0:
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| 127 | def __float__(self):
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| 128 | return 42.
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| 129 |
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| 130 | class Foo1(object):
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| 131 | def __float__(self):
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| 132 | return 42.
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| 133 |
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| 134 | class Foo2(float):
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| 135 | def __float__(self):
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| 136 | return 42.
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| 137 |
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| 138 | class Foo3(float):
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| 139 | def __new__(cls, value=0.):
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| 140 | return float.__new__(cls, 2*value)
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| 141 |
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| 142 | def __float__(self):
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| 143 | return self
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| 144 |
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| 145 | class Foo4(float):
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| 146 | def __float__(self):
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| 147 | return 42
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| 148 |
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| 149 | # Issue 5759: __float__ not called on str subclasses (though it is on
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| 150 | # unicode subclasses).
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| 151 | class FooStr(str):
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| 152 | def __float__(self):
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| 153 | return float(str(self)) + 1
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| 154 |
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| 155 | class FooUnicode(unicode):
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| 156 | def __float__(self):
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| 157 | return float(unicode(self)) + 1
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| 158 |
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| 159 | self.assertAlmostEqual(float(Foo0()), 42.)
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| 160 | self.assertAlmostEqual(float(Foo1()), 42.)
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| 161 | self.assertAlmostEqual(float(Foo2()), 42.)
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| 162 | self.assertAlmostEqual(float(Foo3(21)), 42.)
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| 163 | self.assertRaises(TypeError, float, Foo4(42))
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| 164 | self.assertAlmostEqual(float(FooUnicode('8')), 9.)
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| 165 | self.assertAlmostEqual(float(FooStr('8')), 9.)
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| 166 |
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| 167 | def test_is_integer(self):
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| 168 | self.assertFalse((1.1).is_integer())
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| 169 | self.assertTrue((1.).is_integer())
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| 170 | self.assertFalse(float("nan").is_integer())
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| 171 | self.assertFalse(float("inf").is_integer())
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| 172 |
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| 173 | def test_floatasratio(self):
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| 174 | for f, ratio in [
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| 175 | (0.875, (7, 8)),
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| 176 | (-0.875, (-7, 8)),
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| 177 | (0.0, (0, 1)),
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| 178 | (11.5, (23, 2)),
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| 179 | ]:
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| 180 | self.assertEqual(f.as_integer_ratio(), ratio)
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| 181 |
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| 182 | for i in range(10000):
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| 183 | f = random.random()
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| 184 | f *= 10 ** random.randint(-100, 100)
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| 185 | n, d = f.as_integer_ratio()
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| 186 | self.assertEqual(float(n).__truediv__(d), f)
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| 187 |
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| 188 | R = fractions.Fraction
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| 189 | self.assertEqual(R(0, 1),
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| 190 | R(*float(0.0).as_integer_ratio()))
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| 191 | self.assertEqual(R(5, 2),
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| 192 | R(*float(2.5).as_integer_ratio()))
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| 193 | self.assertEqual(R(1, 2),
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| 194 | R(*float(0.5).as_integer_ratio()))
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| 195 | self.assertEqual(R(4728779608739021, 2251799813685248),
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| 196 | R(*float(2.1).as_integer_ratio()))
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| 197 | self.assertEqual(R(-4728779608739021, 2251799813685248),
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| 198 | R(*float(-2.1).as_integer_ratio()))
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| 199 | self.assertEqual(R(-2100, 1),
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| 200 | R(*float(-2100.0).as_integer_ratio()))
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| 201 |
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| 202 | self.assertRaises(OverflowError, float('inf').as_integer_ratio)
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| 203 | self.assertRaises(OverflowError, float('-inf').as_integer_ratio)
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| 204 | self.assertRaises(ValueError, float('nan').as_integer_ratio)
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| 205 |
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| 206 | def assertEqualAndEqualSign(self, a, b):
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| 207 | # fail unless a == b and a and b have the same sign bit;
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| 208 | # the only difference from assertEqual is that this test
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| 209 | # distinguishes -0.0 and 0.0.
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| 210 | self.assertEqual((a, copysign(1.0, a)), (b, copysign(1.0, b)))
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| 211 |
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| 212 | @requires_IEEE_754
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| 213 | def test_float_mod(self):
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| 214 | # Check behaviour of % operator for IEEE 754 special cases.
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| 215 | # In particular, check signs of zeros.
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| 216 | mod = operator.mod
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| 217 |
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| 218 | self.assertEqualAndEqualSign(mod(-1.0, 1.0), 0.0)
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| 219 | self.assertEqualAndEqualSign(mod(-1e-100, 1.0), 1.0)
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| 220 | self.assertEqualAndEqualSign(mod(-0.0, 1.0), 0.0)
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| 221 | self.assertEqualAndEqualSign(mod(0.0, 1.0), 0.0)
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| 222 | self.assertEqualAndEqualSign(mod(1e-100, 1.0), 1e-100)
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| 223 | self.assertEqualAndEqualSign(mod(1.0, 1.0), 0.0)
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| 224 |
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| 225 | self.assertEqualAndEqualSign(mod(-1.0, -1.0), -0.0)
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| 226 | self.assertEqualAndEqualSign(mod(-1e-100, -1.0), -1e-100)
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| 227 | self.assertEqualAndEqualSign(mod(-0.0, -1.0), -0.0)
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| 228 | self.assertEqualAndEqualSign(mod(0.0, -1.0), -0.0)
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| 229 | self.assertEqualAndEqualSign(mod(1e-100, -1.0), -1.0)
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| 230 | self.assertEqualAndEqualSign(mod(1.0, -1.0), -0.0)
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| 231 |
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| 232 | @requires_IEEE_754
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| 233 | def test_float_pow(self):
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| 234 | # test builtin pow and ** operator for IEEE 754 special cases.
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| 235 | # Special cases taken from section F.9.4.4 of the C99 specification
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| 236 |
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| 237 | for pow_op in pow, operator.pow:
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| 238 | # x**NAN is NAN for any x except 1
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| 239 | self.assertTrue(isnan(pow_op(-INF, NAN)))
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| 240 | self.assertTrue(isnan(pow_op(-2.0, NAN)))
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| 241 | self.assertTrue(isnan(pow_op(-1.0, NAN)))
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| 242 | self.assertTrue(isnan(pow_op(-0.5, NAN)))
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| 243 | self.assertTrue(isnan(pow_op(-0.0, NAN)))
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| 244 | self.assertTrue(isnan(pow_op(0.0, NAN)))
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| 245 | self.assertTrue(isnan(pow_op(0.5, NAN)))
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| 246 | self.assertTrue(isnan(pow_op(2.0, NAN)))
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| 247 | self.assertTrue(isnan(pow_op(INF, NAN)))
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| 248 | self.assertTrue(isnan(pow_op(NAN, NAN)))
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| 249 |
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| 250 | # NAN**y is NAN for any y except +-0
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| 251 | self.assertTrue(isnan(pow_op(NAN, -INF)))
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| 252 | self.assertTrue(isnan(pow_op(NAN, -2.0)))
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| 253 | self.assertTrue(isnan(pow_op(NAN, -1.0)))
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| 254 | self.assertTrue(isnan(pow_op(NAN, -0.5)))
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| 255 | self.assertTrue(isnan(pow_op(NAN, 0.5)))
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| 256 | self.assertTrue(isnan(pow_op(NAN, 1.0)))
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| 257 | self.assertTrue(isnan(pow_op(NAN, 2.0)))
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| 258 | self.assertTrue(isnan(pow_op(NAN, INF)))
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| 259 |
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| 260 | # (+-0)**y raises ZeroDivisionError for y a negative odd integer
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| 261 | self.assertRaises(ZeroDivisionError, pow_op, -0.0, -1.0)
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| 262 | self.assertRaises(ZeroDivisionError, pow_op, 0.0, -1.0)
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| 263 |
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| 264 | # (+-0)**y raises ZeroDivisionError for y finite and negative
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| 265 | # but not an odd integer
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| 266 | self.assertRaises(ZeroDivisionError, pow_op, -0.0, -2.0)
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| 267 | self.assertRaises(ZeroDivisionError, pow_op, -0.0, -0.5)
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| 268 | self.assertRaises(ZeroDivisionError, pow_op, 0.0, -2.0)
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| 269 | self.assertRaises(ZeroDivisionError, pow_op, 0.0, -0.5)
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| 270 |
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| 271 | # (+-0)**y is +-0 for y a positive odd integer
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| 272 | self.assertEqualAndEqualSign(pow_op(-0.0, 1.0), -0.0)
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| 273 | self.assertEqualAndEqualSign(pow_op(0.0, 1.0), 0.0)
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| 274 |
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| 275 | # (+-0)**y is 0 for y finite and positive but not an odd integer
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| 276 | self.assertEqualAndEqualSign(pow_op(-0.0, 0.5), 0.0)
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| 277 | self.assertEqualAndEqualSign(pow_op(-0.0, 2.0), 0.0)
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| 278 | self.assertEqualAndEqualSign(pow_op(0.0, 0.5), 0.0)
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| 279 | self.assertEqualAndEqualSign(pow_op(0.0, 2.0), 0.0)
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| 280 |
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| 281 | # (-1)**+-inf is 1
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| 282 | self.assertEqualAndEqualSign(pow_op(-1.0, -INF), 1.0)
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| 283 | self.assertEqualAndEqualSign(pow_op(-1.0, INF), 1.0)
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| 284 |
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| 285 | # 1**y is 1 for any y, even if y is an infinity or nan
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| 286 | self.assertEqualAndEqualSign(pow_op(1.0, -INF), 1.0)
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| 287 | self.assertEqualAndEqualSign(pow_op(1.0, -2.0), 1.0)
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| 288 | self.assertEqualAndEqualSign(pow_op(1.0, -1.0), 1.0)
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| 289 | self.assertEqualAndEqualSign(pow_op(1.0, -0.5), 1.0)
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| 290 | self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
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| 291 | self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
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| 292 | self.assertEqualAndEqualSign(pow_op(1.0, 0.5), 1.0)
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| 293 | self.assertEqualAndEqualSign(pow_op(1.0, 1.0), 1.0)
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| 294 | self.assertEqualAndEqualSign(pow_op(1.0, 2.0), 1.0)
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| 295 | self.assertEqualAndEqualSign(pow_op(1.0, INF), 1.0)
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| 296 | self.assertEqualAndEqualSign(pow_op(1.0, NAN), 1.0)
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| 297 |
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| 298 | # x**+-0 is 1 for any x, even if x is a zero, infinity, or nan
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| 299 | self.assertEqualAndEqualSign(pow_op(-INF, 0.0), 1.0)
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| 300 | self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
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| 301 | self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
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| 302 | self.assertEqualAndEqualSign(pow_op(-0.5, 0.0), 1.0)
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| 303 | self.assertEqualAndEqualSign(pow_op(-0.0, 0.0), 1.0)
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| 304 | self.assertEqualAndEqualSign(pow_op(0.0, 0.0), 1.0)
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| 305 | self.assertEqualAndEqualSign(pow_op(0.5, 0.0), 1.0)
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| 306 | self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
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| 307 | self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
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| 308 | self.assertEqualAndEqualSign(pow_op(INF, 0.0), 1.0)
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| 309 | self.assertEqualAndEqualSign(pow_op(NAN, 0.0), 1.0)
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| 310 | self.assertEqualAndEqualSign(pow_op(-INF, -0.0), 1.0)
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| 311 | self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
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| 312 | self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
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| 313 | self.assertEqualAndEqualSign(pow_op(-0.5, -0.0), 1.0)
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| 314 | self.assertEqualAndEqualSign(pow_op(-0.0, -0.0), 1.0)
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| 315 | self.assertEqualAndEqualSign(pow_op(0.0, -0.0), 1.0)
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| 316 | self.assertEqualAndEqualSign(pow_op(0.5, -0.0), 1.0)
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| 317 | self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
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| 318 | self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
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| 319 | self.assertEqualAndEqualSign(pow_op(INF, -0.0), 1.0)
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| 320 | self.assertEqualAndEqualSign(pow_op(NAN, -0.0), 1.0)
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| 321 |
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| 322 | # x**y raises ValueError for finite negative x and non-integral y
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| 323 | self.assertRaises(ValueError, pow_op, -2.0, -0.5)
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| 324 | self.assertRaises(ValueError, pow_op, -2.0, 0.5)
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| 325 | self.assertRaises(ValueError, pow_op, -1.0, -0.5)
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| 326 | self.assertRaises(ValueError, pow_op, -1.0, 0.5)
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| 327 | self.assertRaises(ValueError, pow_op, -0.5, -0.5)
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| 328 | self.assertRaises(ValueError, pow_op, -0.5, 0.5)
|
|---|
| 329 |
|
|---|
| 330 | # x**-INF is INF for abs(x) < 1
|
|---|
| 331 | self.assertEqualAndEqualSign(pow_op(-0.5, -INF), INF)
|
|---|
| 332 | self.assertEqualAndEqualSign(pow_op(-0.0, -INF), INF)
|
|---|
| 333 | self.assertEqualAndEqualSign(pow_op(0.0, -INF), INF)
|
|---|
| 334 | self.assertEqualAndEqualSign(pow_op(0.5, -INF), INF)
|
|---|
| 335 |
|
|---|
| 336 | # x**-INF is 0 for abs(x) > 1
|
|---|
| 337 | self.assertEqualAndEqualSign(pow_op(-INF, -INF), 0.0)
|
|---|
| 338 | self.assertEqualAndEqualSign(pow_op(-2.0, -INF), 0.0)
|
|---|
| 339 | self.assertEqualAndEqualSign(pow_op(2.0, -INF), 0.0)
|
|---|
| 340 | self.assertEqualAndEqualSign(pow_op(INF, -INF), 0.0)
|
|---|
| 341 |
|
|---|
| 342 | # x**INF is 0 for abs(x) < 1
|
|---|
| 343 | self.assertEqualAndEqualSign(pow_op(-0.5, INF), 0.0)
|
|---|
| 344 | self.assertEqualAndEqualSign(pow_op(-0.0, INF), 0.0)
|
|---|
| 345 | self.assertEqualAndEqualSign(pow_op(0.0, INF), 0.0)
|
|---|
| 346 | self.assertEqualAndEqualSign(pow_op(0.5, INF), 0.0)
|
|---|
| 347 |
|
|---|
| 348 | # x**INF is INF for abs(x) > 1
|
|---|
| 349 | self.assertEqualAndEqualSign(pow_op(-INF, INF), INF)
|
|---|
| 350 | self.assertEqualAndEqualSign(pow_op(-2.0, INF), INF)
|
|---|
| 351 | self.assertEqualAndEqualSign(pow_op(2.0, INF), INF)
|
|---|
| 352 | self.assertEqualAndEqualSign(pow_op(INF, INF), INF)
|
|---|
| 353 |
|
|---|
| 354 | # (-INF)**y is -0.0 for y a negative odd integer
|
|---|
| 355 | self.assertEqualAndEqualSign(pow_op(-INF, -1.0), -0.0)
|
|---|
| 356 |
|
|---|
| 357 | # (-INF)**y is 0.0 for y negative but not an odd integer
|
|---|
| 358 | self.assertEqualAndEqualSign(pow_op(-INF, -0.5), 0.0)
|
|---|
| 359 | self.assertEqualAndEqualSign(pow_op(-INF, -2.0), 0.0)
|
|---|
| 360 |
|
|---|
| 361 | # (-INF)**y is -INF for y a positive odd integer
|
|---|
| 362 | self.assertEqualAndEqualSign(pow_op(-INF, 1.0), -INF)
|
|---|
| 363 |
|
|---|
| 364 | # (-INF)**y is INF for y positive but not an odd integer
|
|---|
| 365 | self.assertEqualAndEqualSign(pow_op(-INF, 0.5), INF)
|
|---|
| 366 | self.assertEqualAndEqualSign(pow_op(-INF, 2.0), INF)
|
|---|
| 367 |
|
|---|
| 368 | # INF**y is INF for y positive
|
|---|
| 369 | self.assertEqualAndEqualSign(pow_op(INF, 0.5), INF)
|
|---|
| 370 | self.assertEqualAndEqualSign(pow_op(INF, 1.0), INF)
|
|---|
| 371 | self.assertEqualAndEqualSign(pow_op(INF, 2.0), INF)
|
|---|
| 372 |
|
|---|
| 373 | # INF**y is 0.0 for y negative
|
|---|
| 374 | self.assertEqualAndEqualSign(pow_op(INF, -2.0), 0.0)
|
|---|
| 375 | self.assertEqualAndEqualSign(pow_op(INF, -1.0), 0.0)
|
|---|
| 376 | self.assertEqualAndEqualSign(pow_op(INF, -0.5), 0.0)
|
|---|
| 377 |
|
|---|
| 378 | # basic checks not covered by the special cases above
|
|---|
| 379 | self.assertEqualAndEqualSign(pow_op(-2.0, -2.0), 0.25)
|
|---|
| 380 | self.assertEqualAndEqualSign(pow_op(-2.0, -1.0), -0.5)
|
|---|
| 381 | self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
|
|---|
| 382 | self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
|
|---|
| 383 | self.assertEqualAndEqualSign(pow_op(-2.0, 1.0), -2.0)
|
|---|
| 384 | self.assertEqualAndEqualSign(pow_op(-2.0, 2.0), 4.0)
|
|---|
| 385 | self.assertEqualAndEqualSign(pow_op(-1.0, -2.0), 1.0)
|
|---|
| 386 | self.assertEqualAndEqualSign(pow_op(-1.0, -1.0), -1.0)
|
|---|
| 387 | self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
|
|---|
| 388 | self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
|
|---|
| 389 | self.assertEqualAndEqualSign(pow_op(-1.0, 1.0), -1.0)
|
|---|
| 390 | self.assertEqualAndEqualSign(pow_op(-1.0, 2.0), 1.0)
|
|---|
| 391 | self.assertEqualAndEqualSign(pow_op(2.0, -2.0), 0.25)
|
|---|
| 392 | self.assertEqualAndEqualSign(pow_op(2.0, -1.0), 0.5)
|
|---|
| 393 | self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
|
|---|
| 394 | self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
|
|---|
| 395 | self.assertEqualAndEqualSign(pow_op(2.0, 1.0), 2.0)
|
|---|
| 396 | self.assertEqualAndEqualSign(pow_op(2.0, 2.0), 4.0)
|
|---|
| 397 |
|
|---|
| 398 | # 1 ** large and -1 ** large; some libms apparently
|
|---|
| 399 | # have problems with these
|
|---|
| 400 | self.assertEqualAndEqualSign(pow_op(1.0, -1e100), 1.0)
|
|---|
| 401 | self.assertEqualAndEqualSign(pow_op(1.0, 1e100), 1.0)
|
|---|
| 402 | self.assertEqualAndEqualSign(pow_op(-1.0, -1e100), 1.0)
|
|---|
| 403 | self.assertEqualAndEqualSign(pow_op(-1.0, 1e100), 1.0)
|
|---|
| 404 |
|
|---|
| 405 | # check sign for results that underflow to 0
|
|---|
| 406 | self.assertEqualAndEqualSign(pow_op(-2.0, -2000.0), 0.0)
|
|---|
| 407 | self.assertRaises(ValueError, pow_op, -2.0, -2000.5)
|
|---|
| 408 | self.assertEqualAndEqualSign(pow_op(-2.0, -2001.0), -0.0)
|
|---|
| 409 | self.assertEqualAndEqualSign(pow_op(2.0, -2000.0), 0.0)
|
|---|
| 410 | self.assertEqualAndEqualSign(pow_op(2.0, -2000.5), 0.0)
|
|---|
| 411 | self.assertEqualAndEqualSign(pow_op(2.0, -2001.0), 0.0)
|
|---|
| 412 | self.assertEqualAndEqualSign(pow_op(-0.5, 2000.0), 0.0)
|
|---|
| 413 | self.assertRaises(ValueError, pow_op, -0.5, 2000.5)
|
|---|
| 414 | self.assertEqualAndEqualSign(pow_op(-0.5, 2001.0), -0.0)
|
|---|
| 415 | self.assertEqualAndEqualSign(pow_op(0.5, 2000.0), 0.0)
|
|---|
| 416 | self.assertEqualAndEqualSign(pow_op(0.5, 2000.5), 0.0)
|
|---|
| 417 | self.assertEqualAndEqualSign(pow_op(0.5, 2001.0), 0.0)
|
|---|
| 418 |
|
|---|
| 419 | # check we don't raise an exception for subnormal results,
|
|---|
| 420 | # and validate signs. Tests currently disabled, since
|
|---|
| 421 | # they fail on systems where a subnormal result from pow
|
|---|
| 422 | # is flushed to zero (e.g. Debian/ia64.)
|
|---|
| 423 | #self.assertTrue(0.0 < pow_op(0.5, 1048) < 1e-315)
|
|---|
| 424 | #self.assertTrue(0.0 < pow_op(-0.5, 1048) < 1e-315)
|
|---|
| 425 | #self.assertTrue(0.0 < pow_op(0.5, 1047) < 1e-315)
|
|---|
| 426 | #self.assertTrue(0.0 > pow_op(-0.5, 1047) > -1e-315)
|
|---|
| 427 | #self.assertTrue(0.0 < pow_op(2.0, -1048) < 1e-315)
|
|---|
| 428 | #self.assertTrue(0.0 < pow_op(-2.0, -1048) < 1e-315)
|
|---|
| 429 | #self.assertTrue(0.0 < pow_op(2.0, -1047) < 1e-315)
|
|---|
| 430 | #self.assertTrue(0.0 > pow_op(-2.0, -1047) > -1e-315)
|
|---|
| 431 |
|
|---|
| 432 |
|
|---|
| 433 | @requires_setformat
|
|---|
| 434 | class FormatFunctionsTestCase(unittest.TestCase):
|
|---|
| 435 |
|
|---|
| 436 | def setUp(self):
|
|---|
| 437 | self.save_formats = {'double':float.__getformat__('double'),
|
|---|
| 438 | 'float':float.__getformat__('float')}
|
|---|
| 439 |
|
|---|
| 440 | def tearDown(self):
|
|---|
| 441 | float.__setformat__('double', self.save_formats['double'])
|
|---|
| 442 | float.__setformat__('float', self.save_formats['float'])
|
|---|
| 443 |
|
|---|
| 444 | def test_getformat(self):
|
|---|
| 445 | self.assertIn(float.__getformat__('double'),
|
|---|
| 446 | ['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
|
|---|
| 447 | self.assertIn(float.__getformat__('float'),
|
|---|
| 448 | ['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
|
|---|
| 449 | self.assertRaises(ValueError, float.__getformat__, 'chicken')
|
|---|
| 450 | self.assertRaises(TypeError, float.__getformat__, 1)
|
|---|
| 451 |
|
|---|
| 452 | def test_setformat(self):
|
|---|
| 453 | for t in 'double', 'float':
|
|---|
| 454 | float.__setformat__(t, 'unknown')
|
|---|
| 455 | if self.save_formats[t] == 'IEEE, big-endian':
|
|---|
| 456 | self.assertRaises(ValueError, float.__setformat__,
|
|---|
| 457 | t, 'IEEE, little-endian')
|
|---|
| 458 | elif self.save_formats[t] == 'IEEE, little-endian':
|
|---|
| 459 | self.assertRaises(ValueError, float.__setformat__,
|
|---|
| 460 | t, 'IEEE, big-endian')
|
|---|
| 461 | else:
|
|---|
| 462 | self.assertRaises(ValueError, float.__setformat__,
|
|---|
| 463 | t, 'IEEE, big-endian')
|
|---|
| 464 | self.assertRaises(ValueError, float.__setformat__,
|
|---|
| 465 | t, 'IEEE, little-endian')
|
|---|
| 466 | self.assertRaises(ValueError, float.__setformat__,
|
|---|
| 467 | t, 'chicken')
|
|---|
| 468 | self.assertRaises(ValueError, float.__setformat__,
|
|---|
| 469 | 'chicken', 'unknown')
|
|---|
| 470 |
|
|---|
| 471 | BE_DOUBLE_INF = '\x7f\xf0\x00\x00\x00\x00\x00\x00'
|
|---|
| 472 | LE_DOUBLE_INF = ''.join(reversed(BE_DOUBLE_INF))
|
|---|
| 473 | BE_DOUBLE_NAN = '\x7f\xf8\x00\x00\x00\x00\x00\x00'
|
|---|
| 474 | LE_DOUBLE_NAN = ''.join(reversed(BE_DOUBLE_NAN))
|
|---|
| 475 |
|
|---|
| 476 | BE_FLOAT_INF = '\x7f\x80\x00\x00'
|
|---|
| 477 | LE_FLOAT_INF = ''.join(reversed(BE_FLOAT_INF))
|
|---|
| 478 | BE_FLOAT_NAN = '\x7f\xc0\x00\x00'
|
|---|
| 479 | LE_FLOAT_NAN = ''.join(reversed(BE_FLOAT_NAN))
|
|---|
| 480 |
|
|---|
| 481 | # on non-IEEE platforms, attempting to unpack a bit pattern
|
|---|
| 482 | # representing an infinity or a NaN should raise an exception.
|
|---|
| 483 |
|
|---|
| 484 | @requires_setformat
|
|---|
| 485 | class UnknownFormatTestCase(unittest.TestCase):
|
|---|
| 486 | def setUp(self):
|
|---|
| 487 | self.save_formats = {'double':float.__getformat__('double'),
|
|---|
| 488 | 'float':float.__getformat__('float')}
|
|---|
| 489 | float.__setformat__('double', 'unknown')
|
|---|
| 490 | float.__setformat__('float', 'unknown')
|
|---|
| 491 |
|
|---|
| 492 | def tearDown(self):
|
|---|
| 493 | float.__setformat__('double', self.save_formats['double'])
|
|---|
| 494 | float.__setformat__('float', self.save_formats['float'])
|
|---|
| 495 |
|
|---|
| 496 | def test_double_specials_dont_unpack(self):
|
|---|
| 497 | for fmt, data in [('>d', BE_DOUBLE_INF),
|
|---|
| 498 | ('>d', BE_DOUBLE_NAN),
|
|---|
| 499 | ('<d', LE_DOUBLE_INF),
|
|---|
| 500 | ('<d', LE_DOUBLE_NAN)]:
|
|---|
| 501 | self.assertRaises(ValueError, struct.unpack, fmt, data)
|
|---|
| 502 |
|
|---|
| 503 | def test_float_specials_dont_unpack(self):
|
|---|
| 504 | for fmt, data in [('>f', BE_FLOAT_INF),
|
|---|
| 505 | ('>f', BE_FLOAT_NAN),
|
|---|
| 506 | ('<f', LE_FLOAT_INF),
|
|---|
| 507 | ('<f', LE_FLOAT_NAN)]:
|
|---|
| 508 | self.assertRaises(ValueError, struct.unpack, fmt, data)
|
|---|
| 509 |
|
|---|
| 510 |
|
|---|
| 511 | # on an IEEE platform, all we guarantee is that bit patterns
|
|---|
| 512 | # representing infinities or NaNs do not raise an exception; all else
|
|---|
| 513 | # is accident (today).
|
|---|
| 514 | # let's also try to guarantee that -0.0 and 0.0 don't get confused.
|
|---|
| 515 |
|
|---|
| 516 | class IEEEFormatTestCase(unittest.TestCase):
|
|---|
| 517 |
|
|---|
| 518 | @requires_IEEE_754
|
|---|
| 519 | def test_double_specials_do_unpack(self):
|
|---|
| 520 | for fmt, data in [('>d', BE_DOUBLE_INF),
|
|---|
| 521 | ('>d', BE_DOUBLE_NAN),
|
|---|
| 522 | ('<d', LE_DOUBLE_INF),
|
|---|
| 523 | ('<d', LE_DOUBLE_NAN)]:
|
|---|
| 524 | struct.unpack(fmt, data)
|
|---|
| 525 |
|
|---|
| 526 | @requires_IEEE_754
|
|---|
| 527 | def test_float_specials_do_unpack(self):
|
|---|
| 528 | for fmt, data in [('>f', BE_FLOAT_INF),
|
|---|
| 529 | ('>f', BE_FLOAT_NAN),
|
|---|
| 530 | ('<f', LE_FLOAT_INF),
|
|---|
| 531 | ('<f', LE_FLOAT_NAN)]:
|
|---|
| 532 | struct.unpack(fmt, data)
|
|---|
| 533 |
|
|---|
| 534 | @requires_IEEE_754
|
|---|
| 535 | def test_negative_zero(self):
|
|---|
| 536 | def pos_pos():
|
|---|
| 537 | return 0.0, math.atan2(0.0, -1)
|
|---|
| 538 | def pos_neg():
|
|---|
| 539 | return 0.0, math.atan2(-0.0, -1)
|
|---|
| 540 | def neg_pos():
|
|---|
| 541 | return -0.0, math.atan2(0.0, -1)
|
|---|
| 542 | def neg_neg():
|
|---|
| 543 | return -0.0, math.atan2(-0.0, -1)
|
|---|
| 544 | self.assertEqual(pos_pos(), neg_pos())
|
|---|
| 545 | self.assertEqual(pos_neg(), neg_neg())
|
|---|
| 546 |
|
|---|
| 547 | @requires_IEEE_754
|
|---|
| 548 | def test_underflow_sign(self):
|
|---|
| 549 | # check that -1e-1000 gives -0.0, not 0.0
|
|---|
| 550 | self.assertEqual(math.atan2(-1e-1000, -1), math.atan2(-0.0, -1))
|
|---|
| 551 | self.assertEqual(math.atan2(float('-1e-1000'), -1),
|
|---|
| 552 | math.atan2(-0.0, -1))
|
|---|
| 553 |
|
|---|
| 554 | def test_format(self):
|
|---|
| 555 | # these should be rewritten to use both format(x, spec) and
|
|---|
| 556 | # x.__format__(spec)
|
|---|
| 557 |
|
|---|
| 558 | self.assertEqual(format(0.0, 'f'), '0.000000')
|
|---|
| 559 |
|
|---|
| 560 | # the default is 'g', except for empty format spec
|
|---|
| 561 | self.assertEqual(format(0.0, ''), '0.0')
|
|---|
| 562 | self.assertEqual(format(0.01, ''), '0.01')
|
|---|
| 563 | self.assertEqual(format(0.01, 'g'), '0.01')
|
|---|
| 564 |
|
|---|
| 565 | # empty presentation type should format in the same way as str
|
|---|
| 566 | # (issue 5920)
|
|---|
| 567 | x = 100/7.
|
|---|
| 568 | self.assertEqual(format(x, ''), str(x))
|
|---|
| 569 | self.assertEqual(format(x, '-'), str(x))
|
|---|
| 570 | self.assertEqual(format(x, '>'), str(x))
|
|---|
| 571 | self.assertEqual(format(x, '2'), str(x))
|
|---|
| 572 |
|
|---|
| 573 | self.assertEqual(format(1.0, 'f'), '1.000000')
|
|---|
| 574 |
|
|---|
| 575 | self.assertEqual(format(-1.0, 'f'), '-1.000000')
|
|---|
| 576 |
|
|---|
| 577 | self.assertEqual(format( 1.0, ' f'), ' 1.000000')
|
|---|
| 578 | self.assertEqual(format(-1.0, ' f'), '-1.000000')
|
|---|
| 579 | self.assertEqual(format( 1.0, '+f'), '+1.000000')
|
|---|
| 580 | self.assertEqual(format(-1.0, '+f'), '-1.000000')
|
|---|
| 581 |
|
|---|
| 582 | # % formatting
|
|---|
| 583 | self.assertEqual(format(-1.0, '%'), '-100.000000%')
|
|---|
| 584 |
|
|---|
| 585 | # conversion to string should fail
|
|---|
| 586 | self.assertRaises(ValueError, format, 3.0, "s")
|
|---|
| 587 |
|
|---|
| 588 | # other format specifiers shouldn't work on floats,
|
|---|
| 589 | # in particular int specifiers
|
|---|
| 590 | for format_spec in ([chr(x) for x in range(ord('a'), ord('z')+1)] +
|
|---|
| 591 | [chr(x) for x in range(ord('A'), ord('Z')+1)]):
|
|---|
| 592 | if not format_spec in 'eEfFgGn%':
|
|---|
| 593 | self.assertRaises(ValueError, format, 0.0, format_spec)
|
|---|
| 594 | self.assertRaises(ValueError, format, 1.0, format_spec)
|
|---|
| 595 | self.assertRaises(ValueError, format, -1.0, format_spec)
|
|---|
| 596 | self.assertRaises(ValueError, format, 1e100, format_spec)
|
|---|
| 597 | self.assertRaises(ValueError, format, -1e100, format_spec)
|
|---|
| 598 | self.assertRaises(ValueError, format, 1e-100, format_spec)
|
|---|
| 599 | self.assertRaises(ValueError, format, -1e-100, format_spec)
|
|---|
| 600 |
|
|---|
| 601 | # issue 3382: 'f' and 'F' with inf's and nan's
|
|---|
| 602 | self.assertEqual('{0:f}'.format(INF), 'inf')
|
|---|
| 603 | self.assertEqual('{0:F}'.format(INF), 'INF')
|
|---|
| 604 | self.assertEqual('{0:f}'.format(-INF), '-inf')
|
|---|
| 605 | self.assertEqual('{0:F}'.format(-INF), '-INF')
|
|---|
| 606 | self.assertEqual('{0:f}'.format(NAN), 'nan')
|
|---|
| 607 | self.assertEqual('{0:F}'.format(NAN), 'NAN')
|
|---|
| 608 |
|
|---|
| 609 | @requires_IEEE_754
|
|---|
| 610 | def test_format_testfile(self):
|
|---|
| 611 | with open(format_testfile) as testfile:
|
|---|
| 612 | for line in open(format_testfile):
|
|---|
| 613 | if line.startswith('--'):
|
|---|
| 614 | continue
|
|---|
| 615 | line = line.strip()
|
|---|
| 616 | if not line:
|
|---|
| 617 | continue
|
|---|
| 618 |
|
|---|
| 619 | lhs, rhs = map(str.strip, line.split('->'))
|
|---|
| 620 | fmt, arg = lhs.split()
|
|---|
| 621 | arg = float(arg)
|
|---|
| 622 | self.assertEqual(fmt % arg, rhs)
|
|---|
| 623 | if not math.isnan(arg) and copysign(1.0, arg) > 0.0:
|
|---|
| 624 | self.assertEqual(fmt % -arg, '-' + rhs)
|
|---|
| 625 |
|
|---|
| 626 | def test_issue5864(self):
|
|---|
| 627 | self.assertEqual(format(123.456, '.4'), '123.5')
|
|---|
| 628 | self.assertEqual(format(1234.56, '.4'), '1.235e+03')
|
|---|
| 629 | self.assertEqual(format(12345.6, '.4'), '1.235e+04')
|
|---|
| 630 |
|
|---|
| 631 | class ReprTestCase(unittest.TestCase):
|
|---|
| 632 | def test_repr(self):
|
|---|
| 633 | floats_file = open(os.path.join(os.path.split(__file__)[0],
|
|---|
| 634 | 'floating_points.txt'))
|
|---|
| 635 | for line in floats_file:
|
|---|
| 636 | line = line.strip()
|
|---|
| 637 | if not line or line.startswith('#'):
|
|---|
| 638 | continue
|
|---|
| 639 | v = eval(line)
|
|---|
| 640 | self.assertEqual(v, eval(repr(v)))
|
|---|
| 641 | floats_file.close()
|
|---|
| 642 |
|
|---|
| 643 | @unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short',
|
|---|
| 644 | "applies only when using short float repr style")
|
|---|
| 645 | def test_short_repr(self):
|
|---|
| 646 | # test short float repr introduced in Python 3.1. One aspect
|
|---|
| 647 | # of this repr is that we get some degree of str -> float ->
|
|---|
| 648 | # str roundtripping. In particular, for any numeric string
|
|---|
| 649 | # containing 15 or fewer significant digits, those exact same
|
|---|
| 650 | # digits (modulo trailing zeros) should appear in the output.
|
|---|
| 651 | # No more repr(0.03) -> "0.029999999999999999"!
|
|---|
| 652 |
|
|---|
| 653 | test_strings = [
|
|---|
| 654 | # output always includes *either* a decimal point and at
|
|---|
| 655 | # least one digit after that point, or an exponent.
|
|---|
| 656 | '0.0',
|
|---|
| 657 | '1.0',
|
|---|
| 658 | '0.01',
|
|---|
| 659 | '0.02',
|
|---|
| 660 | '0.03',
|
|---|
| 661 | '0.04',
|
|---|
| 662 | '0.05',
|
|---|
| 663 | '1.23456789',
|
|---|
| 664 | '10.0',
|
|---|
| 665 | '100.0',
|
|---|
| 666 | # values >= 1e16 get an exponent...
|
|---|
| 667 | '1000000000000000.0',
|
|---|
| 668 | '9999999999999990.0',
|
|---|
| 669 | '1e+16',
|
|---|
| 670 | '1e+17',
|
|---|
| 671 | # ... and so do values < 1e-4
|
|---|
| 672 | '0.001',
|
|---|
| 673 | '0.001001',
|
|---|
| 674 | '0.00010000000000001',
|
|---|
| 675 | '0.0001',
|
|---|
| 676 | '9.999999999999e-05',
|
|---|
| 677 | '1e-05',
|
|---|
| 678 | # values designed to provoke failure if the FPU rounding
|
|---|
| 679 | # precision isn't set correctly
|
|---|
| 680 | '8.72293771110361e+25',
|
|---|
| 681 | '7.47005307342313e+26',
|
|---|
| 682 | '2.86438000439698e+28',
|
|---|
| 683 | '8.89142905246179e+28',
|
|---|
| 684 | '3.08578087079232e+35',
|
|---|
| 685 | ]
|
|---|
| 686 |
|
|---|
| 687 | for s in test_strings:
|
|---|
| 688 | negs = '-'+s
|
|---|
| 689 | self.assertEqual(s, repr(float(s)))
|
|---|
| 690 | self.assertEqual(negs, repr(float(negs)))
|
|---|
| 691 |
|
|---|
| 692 |
|
|---|
| 693 | @requires_IEEE_754
|
|---|
| 694 | class RoundTestCase(unittest.TestCase):
|
|---|
| 695 | def test_second_argument_type(self):
|
|---|
| 696 | # any type with an __index__ method should be permitted as
|
|---|
| 697 | # a second argument
|
|---|
| 698 | self.assertAlmostEqual(round(12.34, True), 12.3)
|
|---|
| 699 |
|
|---|
| 700 | class MyIndex(object):
|
|---|
| 701 | def __index__(self): return 4
|
|---|
| 702 | self.assertAlmostEqual(round(-0.123456, MyIndex()), -0.1235)
|
|---|
| 703 | # but floats should be illegal
|
|---|
| 704 | self.assertRaises(TypeError, round, 3.14159, 2.0)
|
|---|
| 705 |
|
|---|
| 706 | def test_inf_nan(self):
|
|---|
| 707 | # rounding an infinity or nan returns the same number;
|
|---|
| 708 | # (in py3k, rounding an infinity or nan raises an error,
|
|---|
| 709 | # since the result can't be represented as a long).
|
|---|
| 710 | self.assertEqual(round(INF), INF)
|
|---|
| 711 | self.assertEqual(round(-INF), -INF)
|
|---|
| 712 | self.assertTrue(math.isnan(round(NAN)))
|
|---|
| 713 | for n in range(-5, 5):
|
|---|
| 714 | self.assertEqual(round(INF, n), INF)
|
|---|
| 715 | self.assertEqual(round(-INF, n), -INF)
|
|---|
| 716 | self.assertTrue(math.isnan(round(NAN, n)))
|
|---|
| 717 |
|
|---|
| 718 | self.assertRaises(TypeError, round, INF, 0.0)
|
|---|
| 719 | self.assertRaises(TypeError, round, -INF, 1.0)
|
|---|
| 720 | self.assertRaises(TypeError, round, NAN, "ceci n'est pas un integer")
|
|---|
| 721 | self.assertRaises(TypeError, round, -0.0, 1j)
|
|---|
| 722 |
|
|---|
| 723 | def test_large_n(self):
|
|---|
| 724 | for n in [324, 325, 400, 2**31-1, 2**31, 2**32, 2**100]:
|
|---|
| 725 | self.assertEqual(round(123.456, n), 123.456)
|
|---|
| 726 | self.assertEqual(round(-123.456, n), -123.456)
|
|---|
| 727 | self.assertEqual(round(1e300, n), 1e300)
|
|---|
| 728 | self.assertEqual(round(1e-320, n), 1e-320)
|
|---|
| 729 | self.assertEqual(round(1e150, 300), 1e150)
|
|---|
| 730 | self.assertEqual(round(1e300, 307), 1e300)
|
|---|
| 731 | self.assertEqual(round(-3.1415, 308), -3.1415)
|
|---|
| 732 | self.assertEqual(round(1e150, 309), 1e150)
|
|---|
| 733 | self.assertEqual(round(1.4e-315, 315), 1e-315)
|
|---|
| 734 |
|
|---|
| 735 | def test_small_n(self):
|
|---|
| 736 | for n in [-308, -309, -400, 1-2**31, -2**31, -2**31-1, -2**100]:
|
|---|
| 737 | self.assertEqual(round(123.456, n), 0.0)
|
|---|
| 738 | self.assertEqual(round(-123.456, n), -0.0)
|
|---|
| 739 | self.assertEqual(round(1e300, n), 0.0)
|
|---|
| 740 | self.assertEqual(round(1e-320, n), 0.0)
|
|---|
| 741 |
|
|---|
| 742 | def test_overflow(self):
|
|---|
| 743 | self.assertRaises(OverflowError, round, 1.6e308, -308)
|
|---|
| 744 | self.assertRaises(OverflowError, round, -1.7e308, -308)
|
|---|
| 745 |
|
|---|
| 746 | @unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short',
|
|---|
| 747 | "test applies only when using short float repr style")
|
|---|
| 748 | def test_previous_round_bugs(self):
|
|---|
| 749 | # particular cases that have occurred in bug reports
|
|---|
| 750 | self.assertEqual(round(562949953421312.5, 1),
|
|---|
| 751 | 562949953421312.5)
|
|---|
| 752 | self.assertEqual(round(56294995342131.5, 3),
|
|---|
| 753 | 56294995342131.5)
|
|---|
| 754 |
|
|---|
| 755 | @unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short',
|
|---|
| 756 | "test applies only when using short float repr style")
|
|---|
| 757 | def test_halfway_cases(self):
|
|---|
| 758 | # Halfway cases need special attention, since the current
|
|---|
| 759 | # implementation has to deal with them specially. Note that
|
|---|
| 760 | # 2.x rounds halfway values up (i.e., away from zero) while
|
|---|
| 761 | # 3.x does round-half-to-even.
|
|---|
| 762 | self.assertAlmostEqual(round(0.125, 2), 0.13)
|
|---|
| 763 | self.assertAlmostEqual(round(0.375, 2), 0.38)
|
|---|
| 764 | self.assertAlmostEqual(round(0.625, 2), 0.63)
|
|---|
| 765 | self.assertAlmostEqual(round(0.875, 2), 0.88)
|
|---|
| 766 | self.assertAlmostEqual(round(-0.125, 2), -0.13)
|
|---|
| 767 | self.assertAlmostEqual(round(-0.375, 2), -0.38)
|
|---|
| 768 | self.assertAlmostEqual(round(-0.625, 2), -0.63)
|
|---|
| 769 | self.assertAlmostEqual(round(-0.875, 2), -0.88)
|
|---|
| 770 |
|
|---|
| 771 | self.assertAlmostEqual(round(0.25, 1), 0.3)
|
|---|
| 772 | self.assertAlmostEqual(round(0.75, 1), 0.8)
|
|---|
| 773 | self.assertAlmostEqual(round(-0.25, 1), -0.3)
|
|---|
| 774 | self.assertAlmostEqual(round(-0.75, 1), -0.8)
|
|---|
| 775 |
|
|---|
| 776 | self.assertEqual(round(-6.5, 0), -7.0)
|
|---|
| 777 | self.assertEqual(round(-5.5, 0), -6.0)
|
|---|
| 778 | self.assertEqual(round(-1.5, 0), -2.0)
|
|---|
| 779 | self.assertEqual(round(-0.5, 0), -1.0)
|
|---|
| 780 | self.assertEqual(round(0.5, 0), 1.0)
|
|---|
| 781 | self.assertEqual(round(1.5, 0), 2.0)
|
|---|
| 782 | self.assertEqual(round(2.5, 0), 3.0)
|
|---|
| 783 | self.assertEqual(round(3.5, 0), 4.0)
|
|---|
| 784 | self.assertEqual(round(4.5, 0), 5.0)
|
|---|
| 785 | self.assertEqual(round(5.5, 0), 6.0)
|
|---|
| 786 | self.assertEqual(round(6.5, 0), 7.0)
|
|---|
| 787 |
|
|---|
| 788 | # same but without an explicit second argument; in 3.x these
|
|---|
| 789 | # will give integers
|
|---|
| 790 | self.assertEqual(round(-6.5), -7.0)
|
|---|
| 791 | self.assertEqual(round(-5.5), -6.0)
|
|---|
| 792 | self.assertEqual(round(-1.5), -2.0)
|
|---|
| 793 | self.assertEqual(round(-0.5), -1.0)
|
|---|
| 794 | self.assertEqual(round(0.5), 1.0)
|
|---|
| 795 | self.assertEqual(round(1.5), 2.0)
|
|---|
| 796 | self.assertEqual(round(2.5), 3.0)
|
|---|
| 797 | self.assertEqual(round(3.5), 4.0)
|
|---|
| 798 | self.assertEqual(round(4.5), 5.0)
|
|---|
| 799 | self.assertEqual(round(5.5), 6.0)
|
|---|
| 800 | self.assertEqual(round(6.5), 7.0)
|
|---|
| 801 |
|
|---|
| 802 | self.assertEqual(round(-25.0, -1), -30.0)
|
|---|
| 803 | self.assertEqual(round(-15.0, -1), -20.0)
|
|---|
| 804 | self.assertEqual(round(-5.0, -1), -10.0)
|
|---|
| 805 | self.assertEqual(round(5.0, -1), 10.0)
|
|---|
| 806 | self.assertEqual(round(15.0, -1), 20.0)
|
|---|
| 807 | self.assertEqual(round(25.0, -1), 30.0)
|
|---|
| 808 | self.assertEqual(round(35.0, -1), 40.0)
|
|---|
| 809 | self.assertEqual(round(45.0, -1), 50.0)
|
|---|
| 810 | self.assertEqual(round(55.0, -1), 60.0)
|
|---|
| 811 | self.assertEqual(round(65.0, -1), 70.0)
|
|---|
| 812 | self.assertEqual(round(75.0, -1), 80.0)
|
|---|
| 813 | self.assertEqual(round(85.0, -1), 90.0)
|
|---|
| 814 | self.assertEqual(round(95.0, -1), 100.0)
|
|---|
| 815 | self.assertEqual(round(12325.0, -1), 12330.0)
|
|---|
| 816 |
|
|---|
| 817 | self.assertEqual(round(350.0, -2), 400.0)
|
|---|
| 818 | self.assertEqual(round(450.0, -2), 500.0)
|
|---|
| 819 |
|
|---|
| 820 | self.assertAlmostEqual(round(0.5e21, -21), 1e21)
|
|---|
| 821 | self.assertAlmostEqual(round(1.5e21, -21), 2e21)
|
|---|
| 822 | self.assertAlmostEqual(round(2.5e21, -21), 3e21)
|
|---|
| 823 | self.assertAlmostEqual(round(5.5e21, -21), 6e21)
|
|---|
| 824 | self.assertAlmostEqual(round(8.5e21, -21), 9e21)
|
|---|
| 825 |
|
|---|
| 826 | self.assertAlmostEqual(round(-1.5e22, -22), -2e22)
|
|---|
| 827 | self.assertAlmostEqual(round(-0.5e22, -22), -1e22)
|
|---|
| 828 | self.assertAlmostEqual(round(0.5e22, -22), 1e22)
|
|---|
| 829 | self.assertAlmostEqual(round(1.5e22, -22), 2e22)
|
|---|
| 830 |
|
|---|
| 831 |
|
|---|
| 832 | @requires_IEEE_754
|
|---|
| 833 | def test_format_specials(self):
|
|---|
| 834 | # Test formatting of nans and infs.
|
|---|
| 835 |
|
|---|
| 836 | def test(fmt, value, expected):
|
|---|
| 837 | # Test with both % and format().
|
|---|
| 838 | self.assertEqual(fmt % value, expected, fmt)
|
|---|
| 839 | if not '#' in fmt:
|
|---|
| 840 | # Until issue 7094 is implemented, format() for floats doesn't
|
|---|
| 841 | # support '#' formatting
|
|---|
| 842 | fmt = fmt[1:] # strip off the %
|
|---|
| 843 | self.assertEqual(format(value, fmt), expected, fmt)
|
|---|
| 844 |
|
|---|
| 845 | for fmt in ['%e', '%f', '%g', '%.0e', '%.6f', '%.20g',
|
|---|
| 846 | '%#e', '%#f', '%#g', '%#.20e', '%#.15f', '%#.3g']:
|
|---|
| 847 | pfmt = '%+' + fmt[1:]
|
|---|
| 848 | sfmt = '% ' + fmt[1:]
|
|---|
| 849 | test(fmt, INF, 'inf')
|
|---|
| 850 | test(fmt, -INF, '-inf')
|
|---|
| 851 | test(fmt, NAN, 'nan')
|
|---|
| 852 | test(fmt, -NAN, 'nan')
|
|---|
| 853 | # When asking for a sign, it's always provided. nans are
|
|---|
| 854 | # always positive.
|
|---|
| 855 | test(pfmt, INF, '+inf')
|
|---|
| 856 | test(pfmt, -INF, '-inf')
|
|---|
| 857 | test(pfmt, NAN, '+nan')
|
|---|
| 858 | test(pfmt, -NAN, '+nan')
|
|---|
| 859 | # When using ' ' for a sign code, only infs can be negative.
|
|---|
| 860 | # Others have a space.
|
|---|
| 861 | test(sfmt, INF, ' inf')
|
|---|
| 862 | test(sfmt, -INF, '-inf')
|
|---|
| 863 | test(sfmt, NAN, ' nan')
|
|---|
| 864 | test(sfmt, -NAN, ' nan')
|
|---|
| 865 |
|
|---|
| 866 |
|
|---|
| 867 | # Beginning with Python 2.6 float has cross platform compatible
|
|---|
| 868 | # ways to create and represent inf and nan
|
|---|
| 869 | class InfNanTest(unittest.TestCase):
|
|---|
| 870 | def test_inf_from_str(self):
|
|---|
| 871 | self.assertTrue(isinf(float("inf")))
|
|---|
| 872 | self.assertTrue(isinf(float("+inf")))
|
|---|
| 873 | self.assertTrue(isinf(float("-inf")))
|
|---|
| 874 | self.assertTrue(isinf(float("infinity")))
|
|---|
| 875 | self.assertTrue(isinf(float("+infinity")))
|
|---|
| 876 | self.assertTrue(isinf(float("-infinity")))
|
|---|
| 877 |
|
|---|
| 878 | self.assertEqual(repr(float("inf")), "inf")
|
|---|
| 879 | self.assertEqual(repr(float("+inf")), "inf")
|
|---|
| 880 | self.assertEqual(repr(float("-inf")), "-inf")
|
|---|
| 881 | self.assertEqual(repr(float("infinity")), "inf")
|
|---|
| 882 | self.assertEqual(repr(float("+infinity")), "inf")
|
|---|
| 883 | self.assertEqual(repr(float("-infinity")), "-inf")
|
|---|
| 884 |
|
|---|
| 885 | self.assertEqual(repr(float("INF")), "inf")
|
|---|
| 886 | self.assertEqual(repr(float("+Inf")), "inf")
|
|---|
| 887 | self.assertEqual(repr(float("-iNF")), "-inf")
|
|---|
| 888 | self.assertEqual(repr(float("Infinity")), "inf")
|
|---|
| 889 | self.assertEqual(repr(float("+iNfInItY")), "inf")
|
|---|
| 890 | self.assertEqual(repr(float("-INFINITY")), "-inf")
|
|---|
| 891 |
|
|---|
| 892 | self.assertEqual(str(float("inf")), "inf")
|
|---|
| 893 | self.assertEqual(str(float("+inf")), "inf")
|
|---|
| 894 | self.assertEqual(str(float("-inf")), "-inf")
|
|---|
| 895 | self.assertEqual(str(float("infinity")), "inf")
|
|---|
| 896 | self.assertEqual(str(float("+infinity")), "inf")
|
|---|
| 897 | self.assertEqual(str(float("-infinity")), "-inf")
|
|---|
| 898 |
|
|---|
| 899 | self.assertRaises(ValueError, float, "info")
|
|---|
| 900 | self.assertRaises(ValueError, float, "+info")
|
|---|
| 901 | self.assertRaises(ValueError, float, "-info")
|
|---|
| 902 | self.assertRaises(ValueError, float, "in")
|
|---|
| 903 | self.assertRaises(ValueError, float, "+in")
|
|---|
| 904 | self.assertRaises(ValueError, float, "-in")
|
|---|
| 905 | self.assertRaises(ValueError, float, "infinit")
|
|---|
| 906 | self.assertRaises(ValueError, float, "+Infin")
|
|---|
| 907 | self.assertRaises(ValueError, float, "-INFI")
|
|---|
| 908 | self.assertRaises(ValueError, float, "infinitys")
|
|---|
| 909 |
|
|---|
| 910 | def test_inf_as_str(self):
|
|---|
| 911 | self.assertEqual(repr(1e300 * 1e300), "inf")
|
|---|
| 912 | self.assertEqual(repr(-1e300 * 1e300), "-inf")
|
|---|
| 913 |
|
|---|
| 914 | self.assertEqual(str(1e300 * 1e300), "inf")
|
|---|
| 915 | self.assertEqual(str(-1e300 * 1e300), "-inf")
|
|---|
| 916 |
|
|---|
| 917 | def test_nan_from_str(self):
|
|---|
| 918 | self.assertTrue(isnan(float("nan")))
|
|---|
| 919 | self.assertTrue(isnan(float("+nan")))
|
|---|
| 920 | self.assertTrue(isnan(float("-nan")))
|
|---|
| 921 |
|
|---|
| 922 | self.assertEqual(repr(float("nan")), "nan")
|
|---|
| 923 | self.assertEqual(repr(float("+nan")), "nan")
|
|---|
| 924 | self.assertEqual(repr(float("-nan")), "nan")
|
|---|
| 925 |
|
|---|
| 926 | self.assertEqual(repr(float("NAN")), "nan")
|
|---|
| 927 | self.assertEqual(repr(float("+NAn")), "nan")
|
|---|
| 928 | self.assertEqual(repr(float("-NaN")), "nan")
|
|---|
| 929 |
|
|---|
| 930 | self.assertEqual(str(float("nan")), "nan")
|
|---|
| 931 | self.assertEqual(str(float("+nan")), "nan")
|
|---|
| 932 | self.assertEqual(str(float("-nan")), "nan")
|
|---|
| 933 |
|
|---|
| 934 | self.assertRaises(ValueError, float, "nana")
|
|---|
| 935 | self.assertRaises(ValueError, float, "+nana")
|
|---|
| 936 | self.assertRaises(ValueError, float, "-nana")
|
|---|
| 937 | self.assertRaises(ValueError, float, "na")
|
|---|
| 938 | self.assertRaises(ValueError, float, "+na")
|
|---|
| 939 | self.assertRaises(ValueError, float, "-na")
|
|---|
| 940 |
|
|---|
| 941 | def test_nan_as_str(self):
|
|---|
| 942 | self.assertEqual(repr(1e300 * 1e300 * 0), "nan")
|
|---|
| 943 | self.assertEqual(repr(-1e300 * 1e300 * 0), "nan")
|
|---|
| 944 |
|
|---|
| 945 | self.assertEqual(str(1e300 * 1e300 * 0), "nan")
|
|---|
| 946 | self.assertEqual(str(-1e300 * 1e300 * 0), "nan")
|
|---|
| 947 |
|
|---|
| 948 | def notest_float_nan(self):
|
|---|
| 949 | self.assertTrue(NAN.is_nan())
|
|---|
| 950 | self.assertFalse(INF.is_nan())
|
|---|
| 951 | self.assertFalse((0.).is_nan())
|
|---|
| 952 |
|
|---|
| 953 | def notest_float_inf(self):
|
|---|
| 954 | self.assertTrue(INF.is_inf())
|
|---|
| 955 | self.assertFalse(NAN.is_inf())
|
|---|
| 956 | self.assertFalse((0.).is_inf())
|
|---|
| 957 |
|
|---|
| 958 | def test_hash_inf(self):
|
|---|
| 959 | # the actual values here should be regarded as an
|
|---|
| 960 | # implementation detail, but they need to be
|
|---|
| 961 | # identical to those used in the Decimal module.
|
|---|
| 962 | self.assertEqual(hash(float('inf')), 314159)
|
|---|
| 963 | self.assertEqual(hash(float('-inf')), -271828)
|
|---|
| 964 | self.assertEqual(hash(float('nan')), 0)
|
|---|
| 965 |
|
|---|
| 966 |
|
|---|
| 967 | fromHex = float.fromhex
|
|---|
| 968 | toHex = float.hex
|
|---|
| 969 | class HexFloatTestCase(unittest.TestCase):
|
|---|
| 970 | MAX = fromHex('0x.fffffffffffff8p+1024') # max normal
|
|---|
| 971 | MIN = fromHex('0x1p-1022') # min normal
|
|---|
| 972 | TINY = fromHex('0x0.0000000000001p-1022') # min subnormal
|
|---|
| 973 | EPS = fromHex('0x0.0000000000001p0') # diff between 1.0 and next float up
|
|---|
| 974 |
|
|---|
| 975 | def identical(self, x, y):
|
|---|
| 976 | # check that floats x and y are identical, or that both
|
|---|
| 977 | # are NaNs
|
|---|
| 978 | if isnan(x) or isnan(y):
|
|---|
| 979 | if isnan(x) == isnan(y):
|
|---|
| 980 | return
|
|---|
| 981 | elif x == y and (x != 0.0 or copysign(1.0, x) == copysign(1.0, y)):
|
|---|
| 982 | return
|
|---|
| 983 | self.fail('%r not identical to %r' % (x, y))
|
|---|
| 984 |
|
|---|
| 985 | def test_ends(self):
|
|---|
| 986 | self.identical(self.MIN, ldexp(1.0, -1022))
|
|---|
| 987 | self.identical(self.TINY, ldexp(1.0, -1074))
|
|---|
| 988 | self.identical(self.EPS, ldexp(1.0, -52))
|
|---|
| 989 | self.identical(self.MAX, 2.*(ldexp(1.0, 1023) - ldexp(1.0, 970)))
|
|---|
| 990 |
|
|---|
| 991 | def test_invalid_inputs(self):
|
|---|
| 992 | invalid_inputs = [
|
|---|
| 993 | 'infi', # misspelt infinities and nans
|
|---|
| 994 | '-Infinit',
|
|---|
| 995 | '++inf',
|
|---|
| 996 | '-+Inf',
|
|---|
| 997 | '--nan',
|
|---|
| 998 | '+-NaN',
|
|---|
| 999 | 'snan',
|
|---|
| 1000 | 'NaNs',
|
|---|
| 1001 | 'nna',
|
|---|
| 1002 | 'an',
|
|---|
| 1003 | 'nf',
|
|---|
| 1004 | 'nfinity',
|
|---|
| 1005 | 'inity',
|
|---|
| 1006 | 'iinity',
|
|---|
| 1007 | '0xnan',
|
|---|
| 1008 | '',
|
|---|
| 1009 | ' ',
|
|---|
| 1010 | 'x1.0p0',
|
|---|
| 1011 | '0xX1.0p0',
|
|---|
| 1012 | '+ 0x1.0p0', # internal whitespace
|
|---|
| 1013 | '- 0x1.0p0',
|
|---|
| 1014 | '0 x1.0p0',
|
|---|
| 1015 | '0x 1.0p0',
|
|---|
| 1016 | '0x1 2.0p0',
|
|---|
| 1017 | '+0x1 .0p0',
|
|---|
| 1018 | '0x1. 0p0',
|
|---|
| 1019 | '-0x1.0 1p0',
|
|---|
| 1020 | '-0x1.0 p0',
|
|---|
| 1021 | '+0x1.0p +0',
|
|---|
| 1022 | '0x1.0p -0',
|
|---|
| 1023 | '0x1.0p 0',
|
|---|
| 1024 | '+0x1.0p+ 0',
|
|---|
| 1025 | '-0x1.0p- 0',
|
|---|
| 1026 | '++0x1.0p-0', # double signs
|
|---|
| 1027 | '--0x1.0p0',
|
|---|
| 1028 | '+-0x1.0p+0',
|
|---|
| 1029 | '-+0x1.0p0',
|
|---|
| 1030 | '0x1.0p++0',
|
|---|
| 1031 | '+0x1.0p+-0',
|
|---|
| 1032 | '-0x1.0p-+0',
|
|---|
| 1033 | '0x1.0p--0',
|
|---|
| 1034 | '0x1.0.p0',
|
|---|
| 1035 | '0x.p0', # no hex digits before or after point
|
|---|
| 1036 | '0x1,p0', # wrong decimal point character
|
|---|
| 1037 | '0x1pa',
|
|---|
| 1038 | u'0x1p\uff10', # fullwidth Unicode digits
|
|---|
| 1039 | u'\uff10x1p0',
|
|---|
| 1040 | u'0x\uff11p0',
|
|---|
| 1041 | u'0x1.\uff10p0',
|
|---|
| 1042 | '0x1p0 \n 0x2p0',
|
|---|
| 1043 | '0x1p0\0 0x1p0', # embedded null byte is not end of string
|
|---|
| 1044 | ]
|
|---|
| 1045 | for x in invalid_inputs:
|
|---|
| 1046 | try:
|
|---|
| 1047 | result = fromHex(x)
|
|---|
| 1048 | except ValueError:
|
|---|
| 1049 | pass
|
|---|
| 1050 | else:
|
|---|
| 1051 | self.fail('Expected float.fromhex(%r) to raise ValueError; '
|
|---|
| 1052 | 'got %r instead' % (x, result))
|
|---|
| 1053 |
|
|---|
| 1054 |
|
|---|
| 1055 | def test_whitespace(self):
|
|---|
| 1056 | value_pairs = [
|
|---|
| 1057 | ('inf', INF),
|
|---|
| 1058 | ('-Infinity', -INF),
|
|---|
| 1059 | ('nan', NAN),
|
|---|
| 1060 | ('1.0', 1.0),
|
|---|
| 1061 | ('-0x.2', -0.125),
|
|---|
| 1062 | ('-0.0', -0.0)
|
|---|
| 1063 | ]
|
|---|
| 1064 | whitespace = [
|
|---|
| 1065 | '',
|
|---|
| 1066 | ' ',
|
|---|
| 1067 | '\t',
|
|---|
| 1068 | '\n',
|
|---|
| 1069 | '\n \t',
|
|---|
| 1070 | '\f',
|
|---|
| 1071 | '\v',
|
|---|
| 1072 | '\r'
|
|---|
| 1073 | ]
|
|---|
| 1074 | for inp, expected in value_pairs:
|
|---|
| 1075 | for lead in whitespace:
|
|---|
| 1076 | for trail in whitespace:
|
|---|
| 1077 | got = fromHex(lead + inp + trail)
|
|---|
| 1078 | self.identical(got, expected)
|
|---|
| 1079 |
|
|---|
| 1080 |
|
|---|
| 1081 | def test_from_hex(self):
|
|---|
| 1082 | MIN = self.MIN;
|
|---|
| 1083 | MAX = self.MAX;
|
|---|
| 1084 | TINY = self.TINY;
|
|---|
| 1085 | EPS = self.EPS;
|
|---|
| 1086 |
|
|---|
| 1087 | # two spellings of infinity, with optional signs; case-insensitive
|
|---|
| 1088 | self.identical(fromHex('inf'), INF)
|
|---|
| 1089 | self.identical(fromHex('+Inf'), INF)
|
|---|
| 1090 | self.identical(fromHex('-INF'), -INF)
|
|---|
| 1091 | self.identical(fromHex('iNf'), INF)
|
|---|
| 1092 | self.identical(fromHex('Infinity'), INF)
|
|---|
| 1093 | self.identical(fromHex('+INFINITY'), INF)
|
|---|
| 1094 | self.identical(fromHex('-infinity'), -INF)
|
|---|
| 1095 | self.identical(fromHex('-iNFiNitY'), -INF)
|
|---|
| 1096 |
|
|---|
| 1097 | # nans with optional sign; case insensitive
|
|---|
| 1098 | self.identical(fromHex('nan'), NAN)
|
|---|
| 1099 | self.identical(fromHex('+NaN'), NAN)
|
|---|
| 1100 | self.identical(fromHex('-NaN'), NAN)
|
|---|
| 1101 | self.identical(fromHex('-nAN'), NAN)
|
|---|
| 1102 |
|
|---|
| 1103 | # variations in input format
|
|---|
| 1104 | self.identical(fromHex('1'), 1.0)
|
|---|
| 1105 | self.identical(fromHex('+1'), 1.0)
|
|---|
| 1106 | self.identical(fromHex('1.'), 1.0)
|
|---|
| 1107 | self.identical(fromHex('1.0'), 1.0)
|
|---|
| 1108 | self.identical(fromHex('1.0p0'), 1.0)
|
|---|
| 1109 | self.identical(fromHex('01'), 1.0)
|
|---|
| 1110 | self.identical(fromHex('01.'), 1.0)
|
|---|
| 1111 | self.identical(fromHex('0x1'), 1.0)
|
|---|
| 1112 | self.identical(fromHex('0x1.'), 1.0)
|
|---|
| 1113 | self.identical(fromHex('0x1.0'), 1.0)
|
|---|
| 1114 | self.identical(fromHex('+0x1.0'), 1.0)
|
|---|
| 1115 | self.identical(fromHex('0x1p0'), 1.0)
|
|---|
| 1116 | self.identical(fromHex('0X1p0'), 1.0)
|
|---|
| 1117 | self.identical(fromHex('0X1P0'), 1.0)
|
|---|
| 1118 | self.identical(fromHex('0x1P0'), 1.0)
|
|---|
| 1119 | self.identical(fromHex('0x1.p0'), 1.0)
|
|---|
| 1120 | self.identical(fromHex('0x1.0p0'), 1.0)
|
|---|
| 1121 | self.identical(fromHex('0x.1p4'), 1.0)
|
|---|
| 1122 | self.identical(fromHex('0x.1p04'), 1.0)
|
|---|
| 1123 | self.identical(fromHex('0x.1p004'), 1.0)
|
|---|
| 1124 | self.identical(fromHex('0x1p+0'), 1.0)
|
|---|
| 1125 | self.identical(fromHex('0x1P-0'), 1.0)
|
|---|
| 1126 | self.identical(fromHex('+0x1p0'), 1.0)
|
|---|
| 1127 | self.identical(fromHex('0x01p0'), 1.0)
|
|---|
| 1128 | self.identical(fromHex('0x1p00'), 1.0)
|
|---|
| 1129 | self.identical(fromHex(u'0x1p0'), 1.0)
|
|---|
| 1130 | self.identical(fromHex(' 0x1p0 '), 1.0)
|
|---|
| 1131 | self.identical(fromHex('\n 0x1p0'), 1.0)
|
|---|
| 1132 | self.identical(fromHex('0x1p0 \t'), 1.0)
|
|---|
| 1133 | self.identical(fromHex('0xap0'), 10.0)
|
|---|
| 1134 | self.identical(fromHex('0xAp0'), 10.0)
|
|---|
| 1135 | self.identical(fromHex('0xaP0'), 10.0)
|
|---|
| 1136 | self.identical(fromHex('0xAP0'), 10.0)
|
|---|
| 1137 | self.identical(fromHex('0xbep0'), 190.0)
|
|---|
| 1138 | self.identical(fromHex('0xBep0'), 190.0)
|
|---|
| 1139 | self.identical(fromHex('0xbEp0'), 190.0)
|
|---|
| 1140 | self.identical(fromHex('0XBE0P-4'), 190.0)
|
|---|
| 1141 | self.identical(fromHex('0xBEp0'), 190.0)
|
|---|
| 1142 | self.identical(fromHex('0xB.Ep4'), 190.0)
|
|---|
| 1143 | self.identical(fromHex('0x.BEp8'), 190.0)
|
|---|
| 1144 | self.identical(fromHex('0x.0BEp12'), 190.0)
|
|---|
| 1145 |
|
|---|
| 1146 | # moving the point around
|
|---|
| 1147 | pi = fromHex('0x1.921fb54442d18p1')
|
|---|
| 1148 | self.identical(fromHex('0x.006487ed5110b46p11'), pi)
|
|---|
| 1149 | self.identical(fromHex('0x.00c90fdaa22168cp10'), pi)
|
|---|
| 1150 | self.identical(fromHex('0x.01921fb54442d18p9'), pi)
|
|---|
| 1151 | self.identical(fromHex('0x.03243f6a8885a3p8'), pi)
|
|---|
| 1152 | self.identical(fromHex('0x.06487ed5110b46p7'), pi)
|
|---|
| 1153 | self.identical(fromHex('0x.0c90fdaa22168cp6'), pi)
|
|---|
| 1154 | self.identical(fromHex('0x.1921fb54442d18p5'), pi)
|
|---|
| 1155 | self.identical(fromHex('0x.3243f6a8885a3p4'), pi)
|
|---|
| 1156 | self.identical(fromHex('0x.6487ed5110b46p3'), pi)
|
|---|
| 1157 | self.identical(fromHex('0x.c90fdaa22168cp2'), pi)
|
|---|
| 1158 | self.identical(fromHex('0x1.921fb54442d18p1'), pi)
|
|---|
| 1159 | self.identical(fromHex('0x3.243f6a8885a3p0'), pi)
|
|---|
| 1160 | self.identical(fromHex('0x6.487ed5110b46p-1'), pi)
|
|---|
| 1161 | self.identical(fromHex('0xc.90fdaa22168cp-2'), pi)
|
|---|
| 1162 | self.identical(fromHex('0x19.21fb54442d18p-3'), pi)
|
|---|
| 1163 | self.identical(fromHex('0x32.43f6a8885a3p-4'), pi)
|
|---|
| 1164 | self.identical(fromHex('0x64.87ed5110b46p-5'), pi)
|
|---|
| 1165 | self.identical(fromHex('0xc9.0fdaa22168cp-6'), pi)
|
|---|
| 1166 | self.identical(fromHex('0x192.1fb54442d18p-7'), pi)
|
|---|
| 1167 | self.identical(fromHex('0x324.3f6a8885a3p-8'), pi)
|
|---|
| 1168 | self.identical(fromHex('0x648.7ed5110b46p-9'), pi)
|
|---|
| 1169 | self.identical(fromHex('0xc90.fdaa22168cp-10'), pi)
|
|---|
| 1170 | self.identical(fromHex('0x1921.fb54442d18p-11'), pi)
|
|---|
| 1171 | # ...
|
|---|
| 1172 | self.identical(fromHex('0x1921fb54442d1.8p-47'), pi)
|
|---|
| 1173 | self.identical(fromHex('0x3243f6a8885a3p-48'), pi)
|
|---|
| 1174 | self.identical(fromHex('0x6487ed5110b46p-49'), pi)
|
|---|
| 1175 | self.identical(fromHex('0xc90fdaa22168cp-50'), pi)
|
|---|
| 1176 | self.identical(fromHex('0x1921fb54442d18p-51'), pi)
|
|---|
| 1177 | self.identical(fromHex('0x3243f6a8885a30p-52'), pi)
|
|---|
| 1178 | self.identical(fromHex('0x6487ed5110b460p-53'), pi)
|
|---|
| 1179 | self.identical(fromHex('0xc90fdaa22168c0p-54'), pi)
|
|---|
| 1180 | self.identical(fromHex('0x1921fb54442d180p-55'), pi)
|
|---|
| 1181 |
|
|---|
| 1182 |
|
|---|
| 1183 | # results that should overflow...
|
|---|
| 1184 | self.assertRaises(OverflowError, fromHex, '-0x1p1024')
|
|---|
| 1185 | self.assertRaises(OverflowError, fromHex, '0x1p+1025')
|
|---|
| 1186 | self.assertRaises(OverflowError, fromHex, '+0X1p1030')
|
|---|
| 1187 | self.assertRaises(OverflowError, fromHex, '-0x1p+1100')
|
|---|
| 1188 | self.assertRaises(OverflowError, fromHex, '0X1p123456789123456789')
|
|---|
| 1189 | self.assertRaises(OverflowError, fromHex, '+0X.8p+1025')
|
|---|
| 1190 | self.assertRaises(OverflowError, fromHex, '+0x0.8p1025')
|
|---|
| 1191 | self.assertRaises(OverflowError, fromHex, '-0x0.4p1026')
|
|---|
| 1192 | self.assertRaises(OverflowError, fromHex, '0X2p+1023')
|
|---|
| 1193 | self.assertRaises(OverflowError, fromHex, '0x2.p1023')
|
|---|
| 1194 | self.assertRaises(OverflowError, fromHex, '-0x2.0p+1023')
|
|---|
| 1195 | self.assertRaises(OverflowError, fromHex, '+0X4p+1022')
|
|---|
| 1196 | self.assertRaises(OverflowError, fromHex, '0x1.ffffffffffffffp+1023')
|
|---|
| 1197 | self.assertRaises(OverflowError, fromHex, '-0X1.fffffffffffff9p1023')
|
|---|
| 1198 | self.assertRaises(OverflowError, fromHex, '0X1.fffffffffffff8p1023')
|
|---|
| 1199 | self.assertRaises(OverflowError, fromHex, '+0x3.fffffffffffffp1022')
|
|---|
| 1200 | self.assertRaises(OverflowError, fromHex, '0x3fffffffffffffp+970')
|
|---|
| 1201 | self.assertRaises(OverflowError, fromHex, '0x10000000000000000p960')
|
|---|
| 1202 | self.assertRaises(OverflowError, fromHex, '-0Xffffffffffffffffp960')
|
|---|
| 1203 |
|
|---|
| 1204 | # ...and those that round to +-max float
|
|---|
| 1205 | self.identical(fromHex('+0x1.fffffffffffffp+1023'), MAX)
|
|---|
| 1206 | self.identical(fromHex('-0X1.fffffffffffff7p1023'), -MAX)
|
|---|
| 1207 | self.identical(fromHex('0X1.fffffffffffff7fffffffffffffp1023'), MAX)
|
|---|
| 1208 |
|
|---|
| 1209 | # zeros
|
|---|
| 1210 | self.identical(fromHex('0x0p0'), 0.0)
|
|---|
| 1211 | self.identical(fromHex('0x0p1000'), 0.0)
|
|---|
| 1212 | self.identical(fromHex('-0x0p1023'), -0.0)
|
|---|
| 1213 | self.identical(fromHex('0X0p1024'), 0.0)
|
|---|
| 1214 | self.identical(fromHex('-0x0p1025'), -0.0)
|
|---|
| 1215 | self.identical(fromHex('0X0p2000'), 0.0)
|
|---|
| 1216 | self.identical(fromHex('0x0p123456789123456789'), 0.0)
|
|---|
| 1217 | self.identical(fromHex('-0X0p-0'), -0.0)
|
|---|
| 1218 | self.identical(fromHex('-0X0p-1000'), -0.0)
|
|---|
| 1219 | self.identical(fromHex('0x0p-1023'), 0.0)
|
|---|
| 1220 | self.identical(fromHex('-0X0p-1024'), -0.0)
|
|---|
| 1221 | self.identical(fromHex('-0x0p-1025'), -0.0)
|
|---|
| 1222 | self.identical(fromHex('-0x0p-1072'), -0.0)
|
|---|
| 1223 | self.identical(fromHex('0X0p-1073'), 0.0)
|
|---|
| 1224 | self.identical(fromHex('-0x0p-1074'), -0.0)
|
|---|
| 1225 | self.identical(fromHex('0x0p-1075'), 0.0)
|
|---|
| 1226 | self.identical(fromHex('0X0p-1076'), 0.0)
|
|---|
| 1227 | self.identical(fromHex('-0X0p-2000'), -0.0)
|
|---|
| 1228 | self.identical(fromHex('-0x0p-123456789123456789'), -0.0)
|
|---|
| 1229 |
|
|---|
| 1230 | # values that should underflow to 0
|
|---|
| 1231 | self.identical(fromHex('0X1p-1075'), 0.0)
|
|---|
| 1232 | self.identical(fromHex('-0X1p-1075'), -0.0)
|
|---|
| 1233 | self.identical(fromHex('-0x1p-123456789123456789'), -0.0)
|
|---|
| 1234 | self.identical(fromHex('0x1.00000000000000001p-1075'), TINY)
|
|---|
| 1235 | self.identical(fromHex('-0x1.1p-1075'), -TINY)
|
|---|
| 1236 | self.identical(fromHex('0x1.fffffffffffffffffp-1075'), TINY)
|
|---|
| 1237 |
|
|---|
| 1238 | # check round-half-even is working correctly near 0 ...
|
|---|
| 1239 | self.identical(fromHex('0x1p-1076'), 0.0)
|
|---|
| 1240 | self.identical(fromHex('0X2p-1076'), 0.0)
|
|---|
| 1241 | self.identical(fromHex('0X3p-1076'), TINY)
|
|---|
| 1242 | self.identical(fromHex('0x4p-1076'), TINY)
|
|---|
| 1243 | self.identical(fromHex('0X5p-1076'), TINY)
|
|---|
| 1244 | self.identical(fromHex('0X6p-1076'), 2*TINY)
|
|---|
| 1245 | self.identical(fromHex('0x7p-1076'), 2*TINY)
|
|---|
| 1246 | self.identical(fromHex('0X8p-1076'), 2*TINY)
|
|---|
| 1247 | self.identical(fromHex('0X9p-1076'), 2*TINY)
|
|---|
| 1248 | self.identical(fromHex('0xap-1076'), 2*TINY)
|
|---|
| 1249 | self.identical(fromHex('0Xbp-1076'), 3*TINY)
|
|---|
| 1250 | self.identical(fromHex('0xcp-1076'), 3*TINY)
|
|---|
| 1251 | self.identical(fromHex('0Xdp-1076'), 3*TINY)
|
|---|
| 1252 | self.identical(fromHex('0Xep-1076'), 4*TINY)
|
|---|
| 1253 | self.identical(fromHex('0xfp-1076'), 4*TINY)
|
|---|
| 1254 | self.identical(fromHex('0x10p-1076'), 4*TINY)
|
|---|
| 1255 | self.identical(fromHex('-0x1p-1076'), -0.0)
|
|---|
| 1256 | self.identical(fromHex('-0X2p-1076'), -0.0)
|
|---|
| 1257 | self.identical(fromHex('-0x3p-1076'), -TINY)
|
|---|
| 1258 | self.identical(fromHex('-0X4p-1076'), -TINY)
|
|---|
| 1259 | self.identical(fromHex('-0x5p-1076'), -TINY)
|
|---|
| 1260 | self.identical(fromHex('-0x6p-1076'), -2*TINY)
|
|---|
| 1261 | self.identical(fromHex('-0X7p-1076'), -2*TINY)
|
|---|
| 1262 | self.identical(fromHex('-0X8p-1076'), -2*TINY)
|
|---|
| 1263 | self.identical(fromHex('-0X9p-1076'), -2*TINY)
|
|---|
| 1264 | self.identical(fromHex('-0Xap-1076'), -2*TINY)
|
|---|
| 1265 | self.identical(fromHex('-0xbp-1076'), -3*TINY)
|
|---|
| 1266 | self.identical(fromHex('-0xcp-1076'), -3*TINY)
|
|---|
| 1267 | self.identical(fromHex('-0Xdp-1076'), -3*TINY)
|
|---|
| 1268 | self.identical(fromHex('-0xep-1076'), -4*TINY)
|
|---|
| 1269 | self.identical(fromHex('-0Xfp-1076'), -4*TINY)
|
|---|
| 1270 | self.identical(fromHex('-0X10p-1076'), -4*TINY)
|
|---|
| 1271 |
|
|---|
| 1272 | # ... and near MIN ...
|
|---|
| 1273 | self.identical(fromHex('0x0.ffffffffffffd6p-1022'), MIN-3*TINY)
|
|---|
| 1274 | self.identical(fromHex('0x0.ffffffffffffd8p-1022'), MIN-2*TINY)
|
|---|
| 1275 | self.identical(fromHex('0x0.ffffffffffffdap-1022'), MIN-2*TINY)
|
|---|
| 1276 | self.identical(fromHex('0x0.ffffffffffffdcp-1022'), MIN-2*TINY)
|
|---|
| 1277 | self.identical(fromHex('0x0.ffffffffffffdep-1022'), MIN-2*TINY)
|
|---|
| 1278 | self.identical(fromHex('0x0.ffffffffffffe0p-1022'), MIN-2*TINY)
|
|---|
| 1279 | self.identical(fromHex('0x0.ffffffffffffe2p-1022'), MIN-2*TINY)
|
|---|
| 1280 | self.identical(fromHex('0x0.ffffffffffffe4p-1022'), MIN-2*TINY)
|
|---|
| 1281 | self.identical(fromHex('0x0.ffffffffffffe6p-1022'), MIN-2*TINY)
|
|---|
| 1282 | self.identical(fromHex('0x0.ffffffffffffe8p-1022'), MIN-2*TINY)
|
|---|
| 1283 | self.identical(fromHex('0x0.ffffffffffffeap-1022'), MIN-TINY)
|
|---|
| 1284 | self.identical(fromHex('0x0.ffffffffffffecp-1022'), MIN-TINY)
|
|---|
| 1285 | self.identical(fromHex('0x0.ffffffffffffeep-1022'), MIN-TINY)
|
|---|
| 1286 | self.identical(fromHex('0x0.fffffffffffff0p-1022'), MIN-TINY)
|
|---|
| 1287 | self.identical(fromHex('0x0.fffffffffffff2p-1022'), MIN-TINY)
|
|---|
| 1288 | self.identical(fromHex('0x0.fffffffffffff4p-1022'), MIN-TINY)
|
|---|
| 1289 | self.identical(fromHex('0x0.fffffffffffff6p-1022'), MIN-TINY)
|
|---|
| 1290 | self.identical(fromHex('0x0.fffffffffffff8p-1022'), MIN)
|
|---|
| 1291 | self.identical(fromHex('0x0.fffffffffffffap-1022'), MIN)
|
|---|
| 1292 | self.identical(fromHex('0x0.fffffffffffffcp-1022'), MIN)
|
|---|
| 1293 | self.identical(fromHex('0x0.fffffffffffffep-1022'), MIN)
|
|---|
| 1294 | self.identical(fromHex('0x1.00000000000000p-1022'), MIN)
|
|---|
| 1295 | self.identical(fromHex('0x1.00000000000002p-1022'), MIN)
|
|---|
| 1296 | self.identical(fromHex('0x1.00000000000004p-1022'), MIN)
|
|---|
| 1297 | self.identical(fromHex('0x1.00000000000006p-1022'), MIN)
|
|---|
| 1298 | self.identical(fromHex('0x1.00000000000008p-1022'), MIN)
|
|---|
| 1299 | self.identical(fromHex('0x1.0000000000000ap-1022'), MIN+TINY)
|
|---|
| 1300 | self.identical(fromHex('0x1.0000000000000cp-1022'), MIN+TINY)
|
|---|
| 1301 | self.identical(fromHex('0x1.0000000000000ep-1022'), MIN+TINY)
|
|---|
| 1302 | self.identical(fromHex('0x1.00000000000010p-1022'), MIN+TINY)
|
|---|
| 1303 | self.identical(fromHex('0x1.00000000000012p-1022'), MIN+TINY)
|
|---|
| 1304 | self.identical(fromHex('0x1.00000000000014p-1022'), MIN+TINY)
|
|---|
| 1305 | self.identical(fromHex('0x1.00000000000016p-1022'), MIN+TINY)
|
|---|
| 1306 | self.identical(fromHex('0x1.00000000000018p-1022'), MIN+2*TINY)
|
|---|
| 1307 |
|
|---|
| 1308 | # ... and near 1.0.
|
|---|
| 1309 | self.identical(fromHex('0x0.fffffffffffff0p0'), 1.0-EPS)
|
|---|
| 1310 | self.identical(fromHex('0x0.fffffffffffff1p0'), 1.0-EPS)
|
|---|
| 1311 | self.identical(fromHex('0X0.fffffffffffff2p0'), 1.0-EPS)
|
|---|
| 1312 | self.identical(fromHex('0x0.fffffffffffff3p0'), 1.0-EPS)
|
|---|
| 1313 | self.identical(fromHex('0X0.fffffffffffff4p0'), 1.0-EPS)
|
|---|
| 1314 | self.identical(fromHex('0X0.fffffffffffff5p0'), 1.0-EPS/2)
|
|---|
| 1315 | self.identical(fromHex('0X0.fffffffffffff6p0'), 1.0-EPS/2)
|
|---|
| 1316 | self.identical(fromHex('0x0.fffffffffffff7p0'), 1.0-EPS/2)
|
|---|
| 1317 | self.identical(fromHex('0x0.fffffffffffff8p0'), 1.0-EPS/2)
|
|---|
| 1318 | self.identical(fromHex('0X0.fffffffffffff9p0'), 1.0-EPS/2)
|
|---|
| 1319 | self.identical(fromHex('0X0.fffffffffffffap0'), 1.0-EPS/2)
|
|---|
| 1320 | self.identical(fromHex('0x0.fffffffffffffbp0'), 1.0-EPS/2)
|
|---|
| 1321 | self.identical(fromHex('0X0.fffffffffffffcp0'), 1.0)
|
|---|
| 1322 | self.identical(fromHex('0x0.fffffffffffffdp0'), 1.0)
|
|---|
| 1323 | self.identical(fromHex('0X0.fffffffffffffep0'), 1.0)
|
|---|
| 1324 | self.identical(fromHex('0x0.ffffffffffffffp0'), 1.0)
|
|---|
| 1325 | self.identical(fromHex('0X1.00000000000000p0'), 1.0)
|
|---|
| 1326 | self.identical(fromHex('0X1.00000000000001p0'), 1.0)
|
|---|
| 1327 | self.identical(fromHex('0x1.00000000000002p0'), 1.0)
|
|---|
| 1328 | self.identical(fromHex('0X1.00000000000003p0'), 1.0)
|
|---|
| 1329 | self.identical(fromHex('0x1.00000000000004p0'), 1.0)
|
|---|
| 1330 | self.identical(fromHex('0X1.00000000000005p0'), 1.0)
|
|---|
| 1331 | self.identical(fromHex('0X1.00000000000006p0'), 1.0)
|
|---|
| 1332 | self.identical(fromHex('0X1.00000000000007p0'), 1.0)
|
|---|
| 1333 | self.identical(fromHex('0x1.00000000000007ffffffffffffffffffffp0'),
|
|---|
| 1334 | 1.0)
|
|---|
| 1335 | self.identical(fromHex('0x1.00000000000008p0'), 1.0)
|
|---|
| 1336 | self.identical(fromHex('0x1.00000000000008000000000000000001p0'),
|
|---|
| 1337 | 1+EPS)
|
|---|
| 1338 | self.identical(fromHex('0X1.00000000000009p0'), 1.0+EPS)
|
|---|
| 1339 | self.identical(fromHex('0x1.0000000000000ap0'), 1.0+EPS)
|
|---|
| 1340 | self.identical(fromHex('0x1.0000000000000bp0'), 1.0+EPS)
|
|---|
| 1341 | self.identical(fromHex('0X1.0000000000000cp0'), 1.0+EPS)
|
|---|
| 1342 | self.identical(fromHex('0x1.0000000000000dp0'), 1.0+EPS)
|
|---|
| 1343 | self.identical(fromHex('0x1.0000000000000ep0'), 1.0+EPS)
|
|---|
| 1344 | self.identical(fromHex('0X1.0000000000000fp0'), 1.0+EPS)
|
|---|
| 1345 | self.identical(fromHex('0x1.00000000000010p0'), 1.0+EPS)
|
|---|
| 1346 | self.identical(fromHex('0X1.00000000000011p0'), 1.0+EPS)
|
|---|
| 1347 | self.identical(fromHex('0x1.00000000000012p0'), 1.0+EPS)
|
|---|
| 1348 | self.identical(fromHex('0X1.00000000000013p0'), 1.0+EPS)
|
|---|
| 1349 | self.identical(fromHex('0X1.00000000000014p0'), 1.0+EPS)
|
|---|
| 1350 | self.identical(fromHex('0x1.00000000000015p0'), 1.0+EPS)
|
|---|
| 1351 | self.identical(fromHex('0x1.00000000000016p0'), 1.0+EPS)
|
|---|
| 1352 | self.identical(fromHex('0X1.00000000000017p0'), 1.0+EPS)
|
|---|
| 1353 | self.identical(fromHex('0x1.00000000000017ffffffffffffffffffffp0'),
|
|---|
| 1354 | 1.0+EPS)
|
|---|
| 1355 | self.identical(fromHex('0x1.00000000000018p0'), 1.0+2*EPS)
|
|---|
| 1356 | self.identical(fromHex('0X1.00000000000018000000000000000001p0'),
|
|---|
| 1357 | 1.0+2*EPS)
|
|---|
| 1358 | self.identical(fromHex('0x1.00000000000019p0'), 1.0+2*EPS)
|
|---|
| 1359 | self.identical(fromHex('0X1.0000000000001ap0'), 1.0+2*EPS)
|
|---|
| 1360 | self.identical(fromHex('0X1.0000000000001bp0'), 1.0+2*EPS)
|
|---|
| 1361 | self.identical(fromHex('0x1.0000000000001cp0'), 1.0+2*EPS)
|
|---|
| 1362 | self.identical(fromHex('0x1.0000000000001dp0'), 1.0+2*EPS)
|
|---|
| 1363 | self.identical(fromHex('0x1.0000000000001ep0'), 1.0+2*EPS)
|
|---|
| 1364 | self.identical(fromHex('0X1.0000000000001fp0'), 1.0+2*EPS)
|
|---|
| 1365 | self.identical(fromHex('0x1.00000000000020p0'), 1.0+2*EPS)
|
|---|
| 1366 |
|
|---|
| 1367 | def test_roundtrip(self):
|
|---|
| 1368 | def roundtrip(x):
|
|---|
| 1369 | return fromHex(toHex(x))
|
|---|
| 1370 |
|
|---|
| 1371 | for x in [NAN, INF, self.MAX, self.MIN, self.MIN-self.TINY, self.TINY, 0.0]:
|
|---|
| 1372 | self.identical(x, roundtrip(x))
|
|---|
| 1373 | self.identical(-x, roundtrip(-x))
|
|---|
| 1374 |
|
|---|
| 1375 | # fromHex(toHex(x)) should exactly recover x, for any non-NaN float x.
|
|---|
| 1376 | import random
|
|---|
| 1377 | for i in xrange(10000):
|
|---|
| 1378 | e = random.randrange(-1200, 1200)
|
|---|
| 1379 | m = random.random()
|
|---|
| 1380 | s = random.choice([1.0, -1.0])
|
|---|
| 1381 | try:
|
|---|
| 1382 | x = s*ldexp(m, e)
|
|---|
| 1383 | except OverflowError:
|
|---|
| 1384 | pass
|
|---|
| 1385 | else:
|
|---|
| 1386 | self.identical(x, fromHex(toHex(x)))
|
|---|
| 1387 |
|
|---|
| 1388 |
|
|---|
| 1389 | def test_main():
|
|---|
| 1390 | test_support.run_unittest(
|
|---|
| 1391 | GeneralFloatCases,
|
|---|
| 1392 | FormatFunctionsTestCase,
|
|---|
| 1393 | UnknownFormatTestCase,
|
|---|
| 1394 | IEEEFormatTestCase,
|
|---|
| 1395 | ReprTestCase,
|
|---|
| 1396 | RoundTestCase,
|
|---|
| 1397 | InfNanTest,
|
|---|
| 1398 | HexFloatTestCase,
|
|---|
| 1399 | )
|
|---|
| 1400 |
|
|---|
| 1401 | if __name__ == '__main__':
|
|---|
| 1402 | test_main()
|
|---|
