annotate Lib/test/test_float.py @ 62799:dcc2e8bf64cf

Fix: Issue9091 Minor documentation clarification.
author Senthil Kumaran <orsenthil@gmail.com>
date Mon, 05 Jul 2010 11:41:42 +0000
parents f271e1d0e9c4
children eafe07d40eb7
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1
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2 import unittest, struct
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3 import os
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4 import sys
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5 from test import support
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6 import math
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7 from math import isinf, isnan, copysign, ldexp
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8 import operator
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9 import random, fractions
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11 INF = float("inf")
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12 NAN = float("nan")
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13
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14 have_getformat = hasattr(float, "__getformat__")
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15 requires_getformat = unittest.skipUnless(have_getformat,
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16 "requires __getformat__")
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17 requires_setformat = unittest.skipUnless(hasattr(float, "__setformat__"),
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18 "requires __setformat__")
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19 # decorator for skipping tests on non-IEEE 754 platforms
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20 requires_IEEE_754 = unittest.skipUnless(have_getformat and
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21 float.__getformat__("double").startswith("IEEE"),
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22 "test requires IEEE 754 doubles")
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23
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24 #locate file with float format test values
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25 test_dir = os.path.dirname(__file__) or os.curdir
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26 format_testfile = os.path.join(test_dir, 'formatfloat_testcases.txt')
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28 class GeneralFloatCases(unittest.TestCase):
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30 def test_float(self):
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31 self.assertEqual(float(3.14), 3.14)
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32 self.assertEqual(float(314), 314.0)
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33 self.assertEqual(float(" 3.14 "), 3.14)
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34 self.assertEqual(float(b" 3.14 "), 3.14)
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35 self.assertRaises(ValueError, float, " 0x3.1 ")
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36 self.assertRaises(ValueError, float, " -0x3.p-1 ")
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37 self.assertRaises(ValueError, float, " +0x3.p-1 ")
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38 self.assertRaises(ValueError, float, "++3.14")
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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, ".nan")
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43 self.assertRaises(ValueError, float, "+.inf")
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44 self.assertRaises(ValueError, float, ".")
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45 self.assertRaises(ValueError, float, "-.")
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46 # check that we don't accept alternate exponent markers
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47 self.assertRaises(ValueError, float, "-1.7d29")
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48 self.assertRaises(ValueError, float, "3D-14")
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49 self.assertEqual(float(b" \u0663.\u0661\u0664 ".decode('raw-unicode-escape')), 3.14)
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50 # extra long strings should not be a problem
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51 float(b'.' + b'1'*1000)
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52 float('.' + '1'*1000)
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53
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54 @support.run_with_locale('LC_NUMERIC', 'fr_FR', 'de_DE')
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55 def test_float_with_comma(self):
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56 # set locale to something that doesn't use '.' for the decimal point
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57 # float must not accept the locale specific decimal point but
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58 # it still has to accept the normal python syntac
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59 import locale
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60 if not locale.localeconv()['decimal_point'] == ',':
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61 return
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
62
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
63 self.assertEqual(float(" 3.14 "), 3.14)
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
64 self.assertEqual(float("+3.14 "), 3.14)
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
65 self.assertEqual(float("-3.14 "), -3.14)
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
66 self.assertEqual(float(".14 "), .14)
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
67 self.assertEqual(float("3. "), 3.0)
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
68 self.assertEqual(float("3.e3 "), 3000.0)
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
69 self.assertEqual(float("3.2e3 "), 3200.0)
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
70 self.assertEqual(float("2.5e-1 "), 0.25)
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
71 self.assertEqual(float("5e-1"), 0.5)
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
72 self.assertRaises(ValueError, float, " 3,14 ")
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
73 self.assertRaises(ValueError, float, " +3,14 ")
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
74 self.assertRaises(ValueError, float, " -3,14 ")
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
75 self.assertRaises(ValueError, float, " 0x3.1 ")
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Christian Heimes <christian@cheimes.de>
parents: 46477
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76 self.assertRaises(ValueError, float, " -0x3.p-1 ")
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
77 self.assertRaises(ValueError, float, " +0x3.p-1 ")
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Christian Heimes <christian@cheimes.de>
parents: 46477
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78 self.assertEqual(float(" 25.e-1 "), 2.5)
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Benjamin Peterson <benjamin@python.org>
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diff changeset
79 self.assertEqual(support.fcmp(float(" .25e-1 "), .025), 0)
46664
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Christian Heimes <christian@cheimes.de>
parents: 46477
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80
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Christian Heimes <christian@cheimes.de>
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diff changeset
81 def test_floatconversion(self):
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
82 # Make sure that calls to __float__() work properly
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
83 class Foo0:
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
84 def __float__(self):
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
85 return 42.
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
86
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
87 class Foo1(object):
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
88 def __float__(self):
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
89 return 42.
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
90
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
91 class Foo2(float):
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
92 def __float__(self):
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Christian Heimes <christian@cheimes.de>
parents: 46477
diff changeset
93 return 42.
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Christian Heimes <christian@cheimes.de>
parents: 46477
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94
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95 class Foo3(float):
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96 def __new__(cls, value=0.):
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97 return float.__new__(cls, 2*value)
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98
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99 def __float__(self):
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100 return self
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101
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102 class Foo4(float):
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103 def __float__(self):
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104 return 42
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105
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106 # Issue 5759: __float__ not called on str subclasses (though it is on
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107 # unicode subclasses).
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108 class FooStr(str):
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109 def __float__(self):
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110 return float(str(self)) + 1
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111
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112 self.assertAlmostEqual(float(Foo0()), 42.)
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113 self.assertAlmostEqual(float(Foo1()), 42.)
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114 self.assertAlmostEqual(float(Foo2()), 42.)
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115 self.assertAlmostEqual(float(Foo3(21)), 42.)
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116 self.assertRaises(TypeError, float, Foo4(42))
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117 self.assertAlmostEqual(float(FooStr('8')), 9.)
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118
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119 def test_floatasratio(self):
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120 for f, ratio in [
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121 (0.875, (7, 8)),
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122 (-0.875, (-7, 8)),
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123 (0.0, (0, 1)),
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124 (11.5, (23, 2)),
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125 ]:
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126 self.assertEqual(f.as_integer_ratio(), ratio)
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127
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128 for i in range(10000):
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129 f = random.random()
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130 f *= 10 ** random.randint(-100, 100)
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131 n, d = f.as_integer_ratio()
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132 self.assertEqual(float(n).__truediv__(d), f)
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133
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134 R = fractions.Fraction
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135 self.assertEqual(R(0, 1),
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136 R(*float(0.0).as_integer_ratio()))
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137 self.assertEqual(R(5, 2),
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138 R(*float(2.5).as_integer_ratio()))
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139 self.assertEqual(R(1, 2),
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140 R(*float(0.5).as_integer_ratio()))
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141 self.assertEqual(R(4728779608739021, 2251799813685248),
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142 R(*float(2.1).as_integer_ratio()))
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143 self.assertEqual(R(-4728779608739021, 2251799813685248),
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144 R(*float(-2.1).as_integer_ratio()))
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145 self.assertEqual(R(-2100, 1),
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146 R(*float(-2100.0).as_integer_ratio()))
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147
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148 self.assertRaises(OverflowError, float('inf').as_integer_ratio)
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149 self.assertRaises(OverflowError, float('-inf').as_integer_ratio)
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150 self.assertRaises(ValueError, float('nan').as_integer_ratio)
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151
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152 def test_float_containment(self):
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153 floats = (INF, -INF, 0.0, 1.0, NAN)
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154 for f in floats:
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155 self.assertIn(f, [f])
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156 self.assertIn(f, (f,))
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157 self.assertIn(f, {f})
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158 self.assertIn(f, {f: None})
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159 self.assertEqual([f].count(f), 1, "[].count('%r') != 1" % f)
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160 self.assertIn(f, floats)
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161
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162 for f in floats:
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163 # nonidentical containers, same type, same contents
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164 self.assertTrue([f] == [f], "[%r] != [%r]" % (f, f))
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165 self.assertTrue((f,) == (f,), "(%r,) != (%r,)" % (f, f))
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166 self.assertTrue({f} == {f}, "{%r} != {%r}" % (f, f))
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167 self.assertTrue({f : None} == {f: None}, "{%r : None} != "
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168 "{%r : None}" % (f, f))
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169
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170 # identical containers
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171 l, t, s, d = [f], (f,), {f}, {f: None}
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172 self.assertTrue(l == l, "[%r] not equal to itself" % f)
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173 self.assertTrue(t == t, "(%r,) not equal to itself" % f)
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174 self.assertTrue(s == s, "{%r} not equal to itself" % f)
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175 self.assertTrue(d == d, "{%r : None} not equal to itself" % f)
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176
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177 def assertEqualAndEqualSign(self, a, b):
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178 # fail unless a == b and a and b have the same sign bit;
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179 # the only difference from assertEqual is that this test
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180 # distingishes -0.0 and 0.0.
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181 self.assertEqual((a, copysign(1.0, a)), (b, copysign(1.0, b)))
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182
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183 @requires_IEEE_754
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184 def test_float_pow(self):
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185 # test builtin pow and ** operator for IEEE 754 special cases.
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186 # Special cases taken from section F.9.4.4 of the C99 specification
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187
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188 for pow_op in pow, operator.pow:
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189 # x**NAN is NAN for any x except 1
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190 self.assertTrue(isnan(pow_op(-INF, NAN)))
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191 self.assertTrue(isnan(pow_op(-2.0, NAN)))
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192 self.assertTrue(isnan(pow_op(-1.0, NAN)))
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193 self.assertTrue(isnan(pow_op(-0.5, NAN)))
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194 self.assertTrue(isnan(pow_op(-0.0, NAN)))
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195 self.assertTrue(isnan(pow_op(0.0, NAN)))
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196 self.assertTrue(isnan(pow_op(0.5, NAN)))
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197 self.assertTrue(isnan(pow_op(2.0, NAN)))
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198 self.assertTrue(isnan(pow_op(INF, NAN)))
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199 self.assertTrue(isnan(pow_op(NAN, NAN)))
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200
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201 # NAN**y is NAN for any y except +-0
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202 self.assertTrue(isnan(pow_op(NAN, -INF)))
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203 self.assertTrue(isnan(pow_op(NAN, -2.0)))
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204 self.assertTrue(isnan(pow_op(NAN, -1.0)))
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205 self.assertTrue(isnan(pow_op(NAN, -0.5)))
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206 self.assertTrue(isnan(pow_op(NAN, 0.5)))
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207 self.assertTrue(isnan(pow_op(NAN, 1.0)))
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208 self.assertTrue(isnan(pow_op(NAN, 2.0)))
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209 self.assertTrue(isnan(pow_op(NAN, INF)))
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210
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211 # (+-0)**y raises ZeroDivisionError for y a negative odd integer
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212 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -1.0)
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213 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -1.0)
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214
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215 # (+-0)**y raises ZeroDivisionError for y finite and negative
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216 # but not an odd integer
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217 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -2.0)
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218 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -0.5)
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219 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -2.0)
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220 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -0.5)
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221
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222 # (+-0)**y is +-0 for y a positive odd integer
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223 self.assertEqualAndEqualSign(pow_op(-0.0, 1.0), -0.0)
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224 self.assertEqualAndEqualSign(pow_op(0.0, 1.0), 0.0)
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225
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226 # (+-0)**y is 0 for y finite and positive but not an odd integer
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227 self.assertEqualAndEqualSign(pow_op(-0.0, 0.5), 0.0)
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228 self.assertEqualAndEqualSign(pow_op(-0.0, 2.0), 0.0)
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229 self.assertEqualAndEqualSign(pow_op(0.0, 0.5), 0.0)
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230 self.assertEqualAndEqualSign(pow_op(0.0, 2.0), 0.0)
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231
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232 # (-1)**+-inf is 1
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233 self.assertEqualAndEqualSign(pow_op(-1.0, -INF), 1.0)
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234 self.assertEqualAndEqualSign(pow_op(-1.0, INF), 1.0)
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235
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236 # 1**y is 1 for any y, even if y is an infinity or nan
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237 self.assertEqualAndEqualSign(pow_op(1.0, -INF), 1.0)
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238 self.assertEqualAndEqualSign(pow_op(1.0, -2.0), 1.0)
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239 self.assertEqualAndEqualSign(pow_op(1.0, -1.0), 1.0)
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240 self.assertEqualAndEqualSign(pow_op(1.0, -0.5), 1.0)
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241 self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
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242 self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
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243 self.assertEqualAndEqualSign(pow_op(1.0, 0.5), 1.0)
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244 self.assertEqualAndEqualSign(pow_op(1.0, 1.0), 1.0)
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245 self.assertEqualAndEqualSign(pow_op(1.0, 2.0), 1.0)
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246 self.assertEqualAndEqualSign(pow_op(1.0, INF), 1.0)
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247 self.assertEqualAndEqualSign(pow_op(1.0, NAN), 1.0)
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248
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249 # x**+-0 is 1 for any x, even if x is a zero, infinity, or nan
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250 self.assertEqualAndEqualSign(pow_op(-INF, 0.0), 1.0)
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251 self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
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252 self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
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253 self.assertEqualAndEqualSign(pow_op(-0.5, 0.0), 1.0)
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254 self.assertEqualAndEqualSign(pow_op(-0.0, 0.0), 1.0)
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255 self.assertEqualAndEqualSign(pow_op(0.0, 0.0), 1.0)
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256 self.assertEqualAndEqualSign(pow_op(0.5, 0.0), 1.0)
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257 self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
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258 self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
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259 self.assertEqualAndEqualSign(pow_op(INF, 0.0), 1.0)
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260 self.assertEqualAndEqualSign(pow_op(NAN, 0.0), 1.0)
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261 self.assertEqualAndEqualSign(pow_op(-INF, -0.0), 1.0)
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262 self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
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263 self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
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264 self.assertEqualAndEqualSign(pow_op(-0.5, -0.0), 1.0)
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265 self.assertEqualAndEqualSign(pow_op(-0.0, -0.0), 1.0)
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266 self.assertEqualAndEqualSign(pow_op(0.0, -0.0), 1.0)
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267 self.assertEqualAndEqualSign(pow_op(0.5, -0.0), 1.0)
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268 self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
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269 self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
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270 self.assertEqualAndEqualSign(pow_op(INF, -0.0), 1.0)
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271 self.assertEqualAndEqualSign(pow_op(NAN, -0.0), 1.0)
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272
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273 # x**y defers to complex pow for finite negative x and
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274 # non-integral y.
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275 self.assertEqual(type(pow_op(-2.0, -0.5)), complex)
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276 self.assertEqual(type(pow_op(-2.0, 0.5)), complex)
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277 self.assertEqual(type(pow_op(-1.0, -0.5)), complex)
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278 self.assertEqual(type(pow_op(-1.0, 0.5)), complex)
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279 self.assertEqual(type(pow_op(-0.5, -0.5)), complex)
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280 self.assertEqual(type(pow_op(-0.5, 0.5)), complex)
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281
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282 # x**-INF is INF for abs(x) < 1
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283 self.assertEqualAndEqualSign(pow_op(-0.5, -INF), INF)
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284 self.assertEqualAndEqualSign(pow_op(-0.0, -INF), INF)
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285 self.assertEqualAndEqualSign(pow_op(0.0, -INF), INF)
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286 self.assertEqualAndEqualSign(pow_op(0.5, -INF), INF)
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287
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288 # x**-INF is 0 for abs(x) > 1
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289 self.assertEqualAndEqualSign(pow_op(-INF, -INF), 0.0)
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290 self.assertEqualAndEqualSign(pow_op(-2.0, -INF), 0.0)
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291 self.assertEqualAndEqualSign(pow_op(2.0, -INF), 0.0)
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292 self.assertEqualAndEqualSign(pow_op(INF, -INF), 0.0)
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293
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294 # x**INF is 0 for abs(x) < 1
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295 self.assertEqualAndEqualSign(pow_op(-0.5, INF), 0.0)
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296 self.assertEqualAndEqualSign(pow_op(-0.0, INF), 0.0)
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297 self.assertEqualAndEqualSign(pow_op(0.0, INF), 0.0)
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298 self.assertEqualAndEqualSign(pow_op(0.5, INF), 0.0)
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299
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300 # x**INF is INF for abs(x) > 1
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301 self.assertEqualAndEqualSign(pow_op(-INF, INF), INF)
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302 self.assertEqualAndEqualSign(pow_op(-2.0, INF), INF)
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303 self.assertEqualAndEqualSign(pow_op(2.0, INF), INF)
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304 self.assertEqualAndEqualSign(pow_op(INF, INF), INF)
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305
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306 # (-INF)**y is -0.0 for y a negative odd integer
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307 self.assertEqualAndEqualSign(pow_op(-INF, -1.0), -0.0)
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308
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309 # (-INF)**y is 0.0 for y negative but not an odd integer
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310 self.assertEqualAndEqualSign(pow_op(-INF, -0.5), 0.0)
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311 self.assertEqualAndEqualSign(pow_op(-INF, -2.0), 0.0)
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312
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313 # (-INF)**y is -INF for y a positive odd integer
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314 self.assertEqualAndEqualSign(pow_op(-INF, 1.0), -INF)
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315
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316 # (-INF)**y is INF for y positive but not an odd integer
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317 self.assertEqualAndEqualSign(pow_op(-INF, 0.5), INF)
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318 self.assertEqualAndEqualSign(pow_op(-INF, 2.0), INF)
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319
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320 # INF**y is INF for y positive
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321 self.assertEqualAndEqualSign(pow_op(INF, 0.5), INF)
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322 self.assertEqualAndEqualSign(pow_op(INF, 1.0), INF)
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323 self.assertEqualAndEqualSign(pow_op(INF, 2.0), INF)
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324
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325 # INF**y is 0.0 for y negative
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326 self.assertEqualAndEqualSign(pow_op(INF, -2.0), 0.0)
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327 self.assertEqualAndEqualSign(pow_op(INF, -1.0), 0.0)
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328 self.assertEqualAndEqualSign(pow_op(INF, -0.5), 0.0)
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329
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330 # basic checks not covered by the special cases above
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331 self.assertEqualAndEqualSign(pow_op(-2.0, -2.0), 0.25)
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332 self.assertEqualAndEqualSign(pow_op(-2.0, -1.0), -0.5)
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333 self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
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334 self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
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335 self.assertEqualAndEqualSign(pow_op(-2.0, 1.0), -2.0)
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336 self.assertEqualAndEqualSign(pow_op(-2.0, 2.0), 4.0)
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337 self.assertEqualAndEqualSign(pow_op(-1.0, -2.0), 1.0)
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338 self.assertEqualAndEqualSign(pow_op(-1.0, -1.0), -1.0)
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339 self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
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340 self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
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341 self.assertEqualAndEqualSign(pow_op(-1.0, 1.0), -1.0)
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342 self.assertEqualAndEqualSign(pow_op(-1.0, 2.0), 1.0)
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343 self.assertEqualAndEqualSign(pow_op(2.0, -2.0), 0.25)
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344 self.assertEqualAndEqualSign(pow_op(2.0, -1.0), 0.5)
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345 self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
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346 self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
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347 self.assertEqualAndEqualSign(pow_op(2.0, 1.0), 2.0)
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348 self.assertEqualAndEqualSign(pow_op(2.0, 2.0), 4.0)
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349
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350 # 1 ** large and -1 ** large; some libms apparently
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351 # have problems with these
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352 self.assertEqualAndEqualSign(pow_op(1.0, -1e100), 1.0)
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353 self.assertEqualAndEqualSign(pow_op(1.0, 1e100), 1.0)
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354 self.assertEqualAndEqualSign(pow_op(-1.0, -1e100), 1.0)
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355 self.assertEqualAndEqualSign(pow_op(-1.0, 1e100), 1.0)
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356
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357 # check sign for results that underflow to 0
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358 self.assertEqualAndEqualSign(pow_op(-2.0, -2000.0), 0.0)
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359 self.assertEqual(type(pow_op(-2.0, -2000.5)), complex)
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360 self.assertEqualAndEqualSign(pow_op(-2.0, -2001.0), -0.0)
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361 self.assertEqualAndEqualSign(pow_op(2.0, -2000.0), 0.0)
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362 self.assertEqualAndEqualSign(pow_op(2.0, -2000.5), 0.0)
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363 self.assertEqualAndEqualSign(pow_op(2.0, -2001.0), 0.0)
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364 self.assertEqualAndEqualSign(pow_op(-0.5, 2000.0), 0.0)
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365 self.assertEqual(type(pow_op(-0.5, 2000.5)), complex)
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366 self.assertEqualAndEqualSign(pow_op(-0.5, 2001.0), -0.0)
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367 self.assertEqualAndEqualSign(pow_op(0.5, 2000.0), 0.0)
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368 self.assertEqualAndEqualSign(pow_op(0.5, 2000.5), 0.0)
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369 self.assertEqualAndEqualSign(pow_op(0.5, 2001.0), 0.0)
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370
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371 # check we don't raise an exception for subnormal results,
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372 # and validate signs. Tests currently disabled, since
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373 # they fail on systems where a subnormal result from pow
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374 # is flushed to zero (e.g. Debian/ia64.)
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375 #self.assertTrue(0.0 < pow_op(0.5, 1048) < 1e-315)
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376 #self.assertTrue(0.0 < pow_op(-0.5, 1048) < 1e-315)
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377 #self.assertTrue(0.0 < pow_op(0.5, 1047) < 1e-315)
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378 #self.assertTrue(0.0 > pow_op(-0.5, 1047) > -1e-315)
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379 #self.assertTrue(0.0 < pow_op(2.0, -1048) < 1e-315)
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380 #self.assertTrue(0.0 < pow_op(-2.0, -1048) < 1e-315)
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381 #self.assertTrue(0.0 < pow_op(2.0, -1047) < 1e-315)
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382 #self.assertTrue(0.0 > pow_op(-2.0, -1047) > -1e-315)
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383
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384
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385 @requires_setformat
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386 class FormatFunctionsTestCase(unittest.TestCase):
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387
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388 def setUp(self):
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389 self.save_formats = {'double':float.__getformat__('double'),
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390 'float':float.__getformat__('float')}
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391
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392 def tearDown(self):
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393 float.__setformat__('double', self.save_formats['double'])
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394 float.__setformat__('float', self.save_formats['float'])
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395
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396 def test_getformat(self):
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397 self.assertIn(float.__getformat__('double'),
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398 ['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
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399 self.assertIn(float.__getformat__('float'),
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400 ['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
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401 self.assertRaises(ValueError, float.__getformat__, 'chicken')
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402 self.assertRaises(TypeError, float.__getformat__, 1)
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403
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404 def test_setformat(self):
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405 for t in 'double', 'float':
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406 float.__setformat__(t, 'unknown')
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407 if self.save_formats[t] == 'IEEE, big-endian':
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408 self.assertRaises(ValueError, float.__setformat__,
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409 t, 'IEEE, little-endian')
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410 elif self.save_formats[t] == 'IEEE, little-endian':
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411 self.assertRaises(ValueError, float.__setformat__,
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412 t, 'IEEE, big-endian')
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413 else:
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414 self.assertRaises(ValueError, float.__setformat__,
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415 t, 'IEEE, big-endian')
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416 self.assertRaises(ValueError, float.__setformat__,
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417 t, 'IEEE, little-endian')
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418 self.assertRaises(ValueError, float.__setformat__,
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419 t, 'chicken')
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420 self.assertRaises(ValueError, float.__setformat__,
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421 'chicken', 'unknown')
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422
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423 BE_DOUBLE_INF = b'\x7f\xf0\x00\x00\x00\x00\x00\x00'
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424 LE_DOUBLE_INF = bytes(reversed(BE_DOUBLE_INF))
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425 BE_DOUBLE_NAN = b'\x7f\xf8\x00\x00\x00\x00\x00\x00'
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426 LE_DOUBLE_NAN = bytes(reversed(BE_DOUBLE_NAN))
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427
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428 BE_FLOAT_INF = b'\x7f\x80\x00\x00'
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429 LE_FLOAT_INF = bytes(reversed(BE_FLOAT_INF))
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430 BE_FLOAT_NAN = b'\x7f\xc0\x00\x00'
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431 LE_FLOAT_NAN = bytes(reversed(BE_FLOAT_NAN))
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432
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433 # on non-IEEE platforms, attempting to unpack a bit pattern
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434 # representing an infinity or a NaN should raise an exception.
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435
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436 @requires_setformat
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437 class UnknownFormatTestCase(unittest.TestCase):
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438 def setUp(self):
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439 self.save_formats = {'double':float.__getformat__('double'),
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440 'float':float.__getformat__('float')}
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441 float.__setformat__('double', 'unknown')
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442 float.__setformat__('float', 'unknown')
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443
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444 def tearDown(self):
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445 float.__setformat__('double', self.save_formats['double'])
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446 float.__setformat__('float', self.save_formats['float'])
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447
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448 def test_double_specials_dont_unpack(self):
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449 for fmt, data in [('>d', BE_DOUBLE_INF),
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450 ('>d', BE_DOUBLE_NAN),
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Michael W. Hudson <mwh@python.net>
parents:
diff changeset
451 ('<d', LE_DOUBLE_INF),
1dd8a0d64432 This is my patch:
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parents:
diff changeset
452 ('<d', LE_DOUBLE_NAN)]:
1dd8a0d64432 This is my patch:
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diff changeset
453 self.assertRaises(ValueError, struct.unpack, fmt, data)
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
454
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
455 def test_float_specials_dont_unpack(self):
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
456 for fmt, data in [('>f', BE_FLOAT_INF),
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
457 ('>f', BE_FLOAT_NAN),
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
458 ('<f', LE_FLOAT_INF),
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
459 ('<f', LE_FLOAT_NAN)]:
1dd8a0d64432 This is my patch:
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parents:
diff changeset
460 self.assertRaises(ValueError, struct.unpack, fmt, data)
1dd8a0d64432 This is my patch:
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parents:
diff changeset
461
1dd8a0d64432 This is my patch:
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parents:
diff changeset
462
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
463 # on an IEEE platform, all we guarantee is that bit patterns
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
464 # representing infinities or NaNs do not raise an exception; all else
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
465 # is accident (today).
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Guido van Rossum <guido@python.org>
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466 # let's also try to guarantee that -0.0 and 0.0 don't get confused.
34972
1dd8a0d64432 This is my patch:
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diff changeset
467
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
468 class IEEEFormatTestCase(unittest.TestCase):
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
469
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470 @requires_IEEE_754
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471 def test_double_specials_do_unpack(self):
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parents: 62414
diff changeset
472 for fmt, data in [('>d', BE_DOUBLE_INF),
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parents: 62414
diff changeset
473 ('>d', BE_DOUBLE_NAN),
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
474 ('<d', LE_DOUBLE_INF),
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
475 ('<d', LE_DOUBLE_NAN)]:
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
476 struct.unpack(fmt, data)
34972
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Michael W. Hudson <mwh@python.net>
parents:
diff changeset
477
62705
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Benjamin Peterson <benjamin@python.org>
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478 @requires_IEEE_754
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diff changeset
479 def test_float_specials_do_unpack(self):
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parents: 62414
diff changeset
480 for fmt, data in [('>f', BE_FLOAT_INF),
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481 ('>f', BE_FLOAT_NAN),
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Benjamin Peterson <benjamin@python.org>
parents: 62414
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482 ('<f', LE_FLOAT_INF),
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Benjamin Peterson <benjamin@python.org>
parents: 62414
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483 ('<f', LE_FLOAT_NAN)]:
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484 struct.unpack(fmt, data)
42775
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485
42817
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486 class FormatTestCase(unittest.TestCase):
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487
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488 def test_format(self):
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489 # these should be rewritten to use both format(x, spec) and
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490 # x.__format__(spec)
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491
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diff changeset
492 self.assertEqual(format(0.0, 'f'), '0.000000')
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parents: 42775
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493
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diff changeset
494 # the default is 'g', except for empty format spec
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parents: 42775
diff changeset
495 self.assertEqual(format(0.0, ''), '0.0')
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parents: 42775
diff changeset
496 self.assertEqual(format(0.01, ''), '0.01')
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parents: 42775
diff changeset
497 self.assertEqual(format(0.01, 'g'), '0.01')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
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parents: 42775
diff changeset
498
53787
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53603
diff changeset
499 # empty presentation type should format in the same way as str
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53603
diff changeset
500 # (issue 5920)
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53603
diff changeset
501 x = 100/7.
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53603
diff changeset
502 self.assertEqual(format(x, ''), str(x))
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53603
diff changeset
503 self.assertEqual(format(x, '-'), str(x))
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53603
diff changeset
504 self.assertEqual(format(x, '>'), str(x))
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53603
diff changeset
505 self.assertEqual(format(x, '2'), str(x))
42817
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
506
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
507 self.assertEqual(format(1.0, 'f'), '1.000000')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
508
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
509 self.assertEqual(format(-1.0, 'f'), '-1.000000')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
510
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
511 self.assertEqual(format( 1.0, ' f'), ' 1.000000')
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
512 self.assertEqual(format(-1.0, ' f'), '-1.000000')
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
513 self.assertEqual(format( 1.0, '+f'), '+1.000000')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
514 self.assertEqual(format(-1.0, '+f'), '-1.000000')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
515
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
516 # % formatting
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parents: 42775
diff changeset
517 self.assertEqual(format(-1.0, '%'), '-100.000000%')
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
518
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
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parents: 42775
diff changeset
519 # conversion to string should fail
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
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parents: 42775
diff changeset
520 self.assertRaises(ValueError, format, 3.0, "s")
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
521
45023
727cc810d690 Restrict format presentation types to those specified in the 'Standard Format Specifiers' section of PEP 3101.
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parents: 44349
diff changeset
522 # other format specifiers shouldn't work on floats,
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
523 # in particular int specifiers
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
524 for format_spec in ([chr(x) for x in range(ord('a'), ord('z')+1)] +
727cc810d690 Restrict format presentation types to those specified in the 'Standard Format Specifiers' section of PEP 3101.
Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
525 [chr(x) for x in range(ord('A'), ord('Z')+1)]):
727cc810d690 Restrict format presentation types to those specified in the 'Standard Format Specifiers' section of PEP 3101.
Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
526 if not format_spec in 'eEfFgGn%':
727cc810d690 Restrict format presentation types to those specified in the 'Standard Format Specifiers' section of PEP 3101.
Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
527 self.assertRaises(ValueError, format, 0.0, format_spec)
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
528 self.assertRaises(ValueError, format, 1.0, format_spec)
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
529 self.assertRaises(ValueError, format, -1.0, format_spec)
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
530 self.assertRaises(ValueError, format, 1e100, format_spec)
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
531 self.assertRaises(ValueError, format, -1e100, format_spec)
727cc810d690 Restrict format presentation types to those specified in the 'Standard Format Specifiers' section of PEP 3101.
Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
532 self.assertRaises(ValueError, format, 1e-100, format_spec)
727cc810d690 Restrict format presentation types to those specified in the 'Standard Format Specifiers' section of PEP 3101.
Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
533 self.assertRaises(ValueError, format, -1e-100, format_spec)
34972
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Michael W. Hudson <mwh@python.net>
parents:
diff changeset
534
53849
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
535 # issue 3382
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
536 self.assertEqual(format(NAN, 'f'), 'nan')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
537 self.assertEqual(format(NAN, 'F'), 'NAN')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
538 self.assertEqual(format(INF, 'f'), 'inf')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
539 self.assertEqual(format(INF, 'F'), 'INF')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
540
62705
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
541 @requires_IEEE_754
53187
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
542 def test_format_testfile(self):
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
543 for line in open(format_testfile):
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
544 if line.startswith('--'):
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
545 continue
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
546 line = line.strip()
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
547 if not line:
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
548 continue
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
549
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
550 lhs, rhs = map(str.strip, line.split('->'))
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Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
551 fmt, arg = lhs.split()
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
552 self.assertEqual(fmt % float(arg), rhs)
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
553 self.assertEqual(fmt % -float(arg), '-' + rhs)
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
554
53603
3759839b9fa5 Issue #5864: Fix problem with empty code formatting for floats,
Mark Dickinson <dickinsm@gmail.com>
parents: 53218
diff changeset
555 def test_issue5864(self):
3759839b9fa5 Issue #5864: Fix problem with empty code formatting for floats,
Mark Dickinson <dickinsm@gmail.com>
parents: 53218
diff changeset
556 self.assertEquals(format(123.456, '.4'), '123.5')
3759839b9fa5 Issue #5864: Fix problem with empty code formatting for floats,
Mark Dickinson <dickinsm@gmail.com>
parents: 53218
diff changeset
557 self.assertEquals(format(1234.56, '.4'), '1.235e+03')
3759839b9fa5 Issue #5864: Fix problem with empty code formatting for floats,
Mark Dickinson <dickinsm@gmail.com>
parents: 53218
diff changeset
558 self.assertEquals(format(12345.6, '.4'), '1.235e+04')
3759839b9fa5 Issue #5864: Fix problem with empty code formatting for floats,
Mark Dickinson <dickinsm@gmail.com>
parents: 53218
diff changeset
559
53209
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parents: 53187
diff changeset
560 class ReprTestCase(unittest.TestCase):
8d8f2f98a752 Sort out some confusion in test_float.py: the two
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parents: 53187
diff changeset
561 def test_repr(self):
8d8f2f98a752 Sort out some confusion in test_float.py: the two
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diff changeset
562 floats_file = open(os.path.join(os.path.split(__file__)[0],
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Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
563 'floating_points.txt'))
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Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
564 for line in floats_file:
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
565 line = line.strip()
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
566 if not line or line.startswith('#'):
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
567 continue
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
568 v = eval(line)
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
569 self.assertEqual(v, eval(repr(v)))
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Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
570 floats_file.close()
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Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
571
53187
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Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
572 @unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
573 "applies only when using short float repr style")
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
574 def test_short_repr(self):
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
575 # test short float repr introduced in Python 3.1. One aspect
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
576 # of this repr is that we get some degree of str -> float ->
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
577 # str roundtripping. In particular, for any numeric string
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
578 # containing 15 or fewer significant digits, those exact same
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
579 # digits (modulo trailing zeros) should appear in the output.
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Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
580 # No more repr(0.03) -> "0.029999999999999999"!
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Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
581
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
582 test_strings = [
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
583 # output always includes *either* a decimal point and at
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
584 # least one digit after that point, or an exponent.
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Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
585 '0.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
586 '1.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
587 '0.01',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
588 '0.02',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
589 '0.03',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
590 '0.04',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
591 '0.05',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
592 '1.23456789',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
593 '10.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
594 '100.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
595 # values >= 1e16 get an exponent...
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
596 '1000000000000000.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
597 '9999999999999990.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
598 '1e+16',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
599 '1e+17',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
600 # ... and so do values < 1e-4
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
601 '0.001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
602 '0.001001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
603 '0.00010000000000001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
604 '0.0001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
605 '9.999999999999e-05',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
606 '1e-05',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
607 # values designed to provoke failure if the FPU rounding
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
608 # precision isn't set correctly
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
609 '8.72293771110361e+25',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
610 '7.47005307342313e+26',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
611 '2.86438000439698e+28',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
612 '8.89142905246179e+28',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
613 '3.08578087079232e+35',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
614 ]
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
615
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
616 for s in test_strings:
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
617 negs = '-'+s
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
618 self.assertEqual(s, repr(float(s)))
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
619 self.assertEqual(negs, repr(float(negs)))
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
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diff changeset
620
62705
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621
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622 @requires_IEEE_754
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diff changeset
623 class RoundTestCase(unittest.TestCase):
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624
53218
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625 def test_inf_nan(self):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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626 self.assertRaises(OverflowError, round, INF)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
627 self.assertRaises(OverflowError, round, -INF)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
628 self.assertRaises(ValueError, round, NAN)
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629 self.assertRaises(TypeError, round, INF, 0.0)
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630 self.assertRaises(TypeError, round, -INF, 1.0)
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631 self.assertRaises(TypeError, round, NAN, "ceci n'est pas un integer")
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632 self.assertRaises(TypeError, round, -0.0, 1j)
53218
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633
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
634 def test_large_n(self):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
635 for n in [324, 325, 400, 2**31-1, 2**31, 2**32, 2**100]:
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
636 self.assertEqual(round(123.456, n), 123.456)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
637 self.assertEqual(round(-123.456, n), -123.456)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
638 self.assertEqual(round(1e300, n), 1e300)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
639 self.assertEqual(round(1e-320, n), 1e-320)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
640 self.assertEqual(round(1e150, 300), 1e150)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
641 self.assertEqual(round(1e300, 307), 1e300)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
642 self.assertEqual(round(-3.1415, 308), -3.1415)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
643 self.assertEqual(round(1e150, 309), 1e150)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
644 self.assertEqual(round(1.4e-315, 315), 1e-315)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
645
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
646 def test_small_n(self):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
647 for n in [-308, -309, -400, 1-2**31, -2**31, -2**31-1, -2**100]:
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
648 self.assertEqual(round(123.456, n), 0.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
649 self.assertEqual(round(-123.456, n), -0.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
650 self.assertEqual(round(1e300, n), 0.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
651 self.assertEqual(round(1e-320, n), 0.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
652
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
653 def test_overflow(self):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
654 self.assertRaises(OverflowError, round, 1.6e308, -308)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
655 self.assertRaises(OverflowError, round, -1.7e308, -308)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
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diff changeset
656
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
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diff changeset
657 @unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short',
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
658 "applies only when using short float repr style")
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
659 def test_previous_round_bugs(self):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
660 # particular cases that have occurred in bug reports
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
661 self.assertEqual(round(562949953421312.5, 1),
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
662 562949953421312.5)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
663 self.assertEqual(round(56294995342131.5, 3),
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Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
664 56294995342131.5)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
665 # round-half-even
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Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
666 self.assertEqual(round(25.0, -1), 20.0)
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parents: 53209
diff changeset
667 self.assertEqual(round(35.0, -1), 40.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
668 self.assertEqual(round(45.0, -1), 40.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
669 self.assertEqual(round(55.0, -1), 60.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
670 self.assertEqual(round(65.0, -1), 60.0)
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parents: 53209
diff changeset
671 self.assertEqual(round(75.0, -1), 80.0)
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diff changeset
672 self.assertEqual(round(85.0, -1), 80.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
673 self.assertEqual(round(95.0, -1), 100.0)
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diff changeset
674
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
675 @unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short',
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parents: 53209
diff changeset
676 "applies only when using short float repr style")
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
677 def test_matches_float_format(self):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
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diff changeset
678 # round should give the same results as float formatting
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
679 for i in range(500):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
680 x = i/1000.
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
681 self.assertEqual(float(format(x, '.0f')), round(x, 0))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
682 self.assertEqual(float(format(x, '.1f')), round(x, 1))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
683 self.assertEqual(float(format(x, '.2f')), round(x, 2))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
684 self.assertEqual(float(format(x, '.3f')), round(x, 3))
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diff changeset
685
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
686 for i in range(5, 5000, 10):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
687 x = i/1000.
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
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diff changeset
688 self.assertEqual(float(format(x, '.0f')), round(x, 0))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
689 self.assertEqual(float(format(x, '.1f')), round(x, 1))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
690 self.assertEqual(float(format(x, '.2f')), round(x, 2))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
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diff changeset
691 self.assertEqual(float(format(x, '.3f')), round(x, 3))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
692
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
693 for i in range(500):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
694 x = random.random()
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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diff changeset
695 self.assertEqual(float(format(x, '.0f')), round(x, 0))
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diff changeset
696 self.assertEqual(float(format(x, '.1f')), round(x, 1))
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diff changeset
697 self.assertEqual(float(format(x, '.2f')), round(x, 2))
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diff changeset
698 self.assertEqual(float(format(x, '.3f')), round(x, 3))
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699
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700 def test_format_specials(self):
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701 # Test formatting of nans and infs.
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702
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703 def test(fmt, value, expected):
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704 # Test with both % and format().
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705 self.assertEqual(fmt % value, expected, fmt)
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706 if not '#' in fmt:
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707 # Until issue 7094 is implemented, format() for floats doesn't
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708 # support '#' formatting
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709 fmt = fmt[1:] # strip off the %
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710 self.assertEqual(format(value, fmt), expected, fmt)
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711
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712 for fmt in ['%e', '%f', '%g', '%.0e', '%.6f', '%.20g',
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713 '%#e', '%#f', '%#g', '%#.20e', '%#.15f', '%#.3g']:
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714 pfmt = '%+' + fmt[1:]
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715 sfmt = '% ' + fmt[1:]
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716 test(fmt, INF, 'inf')
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717 test(fmt, -INF, '-inf')
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718 test(fmt, NAN, 'nan')
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719 test(fmt, -NAN, 'nan')
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720 # When asking for a sign, it's always provided. nans are
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721 # always positive.
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722 test(pfmt, INF, '+inf')
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723 test(pfmt, -INF, '-inf')
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724 test(pfmt, NAN, '+nan')
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725 test(pfmt, -NAN, '+nan')
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726 # When using ' ' for a sign code, only infs can be negative.
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727 # Others have a space.
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728 test(sfmt, INF, ' inf')
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729 test(sfmt, -INF, '-inf')
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730 test(sfmt, NAN, ' nan')
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731 test(sfmt, -NAN, ' nan')
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732
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733
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734 # Beginning with Python 2.6 float has cross platform compatible
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735 # ways to create and represent inf and nan
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736 class InfNanTest(unittest.TestCase):
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737 def test_inf_from_str(self):
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738 self.assertTrue(isinf(float("inf")))
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739 self.assertTrue(isinf(float("+inf")))
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740 self.assertTrue(isinf(float("-inf")))
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741 self.assertTrue(isinf(float("infinity")))
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742 self.assertTrue(isinf(float("+infinity")))
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743 self.assertTrue(isinf(float("-infinity")))
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744
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745 self.assertEqual(repr(float("inf")), "inf")
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746 self.assertEqual(repr(float("+inf")), "inf")
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747 self.assertEqual(repr(float("-inf")), "-inf")
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748 self.assertEqual(repr(float("infinity")), "inf")
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749 self.assertEqual(repr(float("+infinity")), "inf")
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750 self.assertEqual(repr(float("-infinity")), "-inf")
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751
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752 self.assertEqual(repr(float("INF")), "inf")
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753 self.assertEqual(repr(float("+Inf")), "inf")
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754 self.assertEqual(repr(float("-iNF")), "-inf")
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755 self.assertEqual(repr(float("Infinity")), "inf")
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756 self.assertEqual(repr(float("+iNfInItY")), "inf")
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757 self.assertEqual(repr(float("-INFINITY")), "-inf")
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758
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759 self.assertEqual(str(float("inf")), "inf")
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760 self.assertEqual(str(float("+inf")), "inf")
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761 self.assertEqual(str(float("-inf")), "-inf")
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762 self.assertEqual(str(float("infinity")), "inf")
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763 self.assertEqual(str(float("+infinity")), "inf")
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764 self.assertEqual(str(float("-infinity")), "-inf")
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765
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766 self.assertRaises(ValueError, float, "info")
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767 self.assertRaises(ValueError, float, "+info")
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768 self.assertRaises(ValueError, float, "-info")
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769 self.assertRaises(ValueError, float, "in")
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770 self.assertRaises(ValueError, float, "+in")
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771 self.assertRaises(ValueError, float, "-in")
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772 self.assertRaises(ValueError, float, "infinit")
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773 self.assertRaises(ValueError, float, "+Infin")
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774 self.assertRaises(ValueError, float, "-INFI")
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775 self.assertRaises(ValueError, float, "infinitys")
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776
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777 self.assertRaises(ValueError, float, "++Inf")
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778 self.assertRaises(ValueError, float, "-+inf")
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779 self.assertRaises(ValueError, float, "+-infinity")
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780 self.assertRaises(ValueError, float, "--Infinity")
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781
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782 def test_inf_as_str(self):
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783 self.assertEqual(repr(1e300 * 1e300), "inf")
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784 self.assertEqual(repr(-1e300 * 1e300), "-inf")
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785
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786 self.assertEqual(str(1e300 * 1e300), "inf")
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787 self.assertEqual(str(-1e300 * 1e300), "-inf")
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788
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789 def test_nan_from_str(self):
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790 self.assertTrue(isnan(float("nan")))
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791 self.assertTrue(isnan(float("+nan")))
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792 self.assertTrue(isnan(float("-nan")))
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793
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794 self.assertEqual(repr(float("nan")), "nan")
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795 self.assertEqual(repr(float("+nan")), "nan")
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796 self.assertEqual(repr(float("-nan")), "nan")
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797
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798 self.assertEqual(repr(float("NAN")), "nan")
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799 self.assertEqual(repr(float("+NAn")), "nan")
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800 self.assertEqual(repr(float("-NaN")), "nan")
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801
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802 self.assertEqual(str(float("nan")), "nan")
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803 self.assertEqual(str(float("+nan")), "nan")
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804 self.assertEqual(str(float("-nan")), "nan")
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805
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806 self.assertRaises(ValueError, float, "nana")
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807 self.assertRaises(ValueError, float, "+nana")
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808 self.assertRaises(ValueError, float, "-nana")
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809 self.assertRaises(ValueError, float, "na")
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810 self.assertRaises(ValueError, float, "+na")
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811 self.assertRaises(ValueError, float, "-na")
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812
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813 self.assertRaises(ValueError, float, "++nan")
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814 self.assertRaises(ValueError, float, "-+NAN")
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815 self.assertRaises(ValueError, float, "+-NaN")
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816 self.assertRaises(ValueError, float, "--nAn")
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817
44349
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818 def test_nan_as_str(self):
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819 self.assertEqual(repr(1e300 * 1e300 * 0), "nan")
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820 self.assertEqual(repr(-1e300 * 1e300 * 0), "nan")
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821
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822 self.assertEqual(str(1e300 * 1e300 * 0), "nan")
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823 self.assertEqual(str(-1e300 * 1e300 * 0), "nan")
44260
682d9788a038 Issue #1580: New free format floating point representation based on "Floating-Point Printer Sample Code", by Robert G. Burger. For example repr(11./5) now returns '2.2' instead of '2.2000000000000002'.
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824
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825 def notest_float_nan(self):
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826 self.assertTrue(NAN.is_nan())
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827 self.assertFalse(INF.is_nan())
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828 self.assertFalse((0.).is_nan())
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829
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830 def notest_float_inf(self):
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831 self.assertTrue(INF.is_inf())
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832 self.assertFalse(NAN.is_inf())
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833 self.assertFalse((0.).is_inf())
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834
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835 fromHex = float.fromhex
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836 toHex = float.hex
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837 class HexFloatTestCase(unittest.TestCase):
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838 MAX = fromHex('0x.fffffffffffff8p+1024') # max normal
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839 MIN = fromHex('0x1p-1022') # min normal
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840 TINY = fromHex('0x0.0000000000001p-1022') # min subnormal
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841 EPS = fromHex('0x0.0000000000001p0') # diff between 1.0 and next float up
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842
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843 def identical(self, x, y):
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844 # check that floats x and y are identical, or that both
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845 # are NaNs
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846 if isnan(x) or isnan(y):
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847 if isnan(x) == isnan(y):
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848 return
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849 elif x == y and (x != 0.0 or copysign(1.0, x) == copysign(1.0, y)):
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850 return
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851 self.fail('%r not identical to %r' % (x, y))
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852
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853 def test_ends(self):
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854 self.identical(self.MIN, ldexp(1.0, -1022))
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855 self.identical(self.TINY, ldexp(1.0, -1074))
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856 self.identical(self.EPS, ldexp(1.0, -52))
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857 self.identical(self.MAX, 2.*(ldexp(1.0, 1023) - ldexp(1.0, 970)))
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858
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859 def test_invalid_inputs(self):
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860 invalid_inputs = [
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861 'infi', # misspelt infinities and nans
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862 '-Infinit',
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863 '++inf',
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864 '-+Inf',
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865 '--nan',
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866 '+-NaN',
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867 'snan',
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868 'NaNs',
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869 'nna',
54001
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870 'an',
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871 'nf',
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872 'nfinity',
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873 'inity',
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874 'iinity',
48497
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875 '0xnan',
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876 '',
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877 ' ',
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diff changeset
878 'x1.0p0',
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diff changeset
879 '0xX1.0p0',
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880 '+ 0x1.0p0', # internal whitespace
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881 '- 0x1.0p0',
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diff changeset
882 '0 x1.0p0',
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diff changeset
883 '0x 1.0p0',
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diff changeset
884 '0x1 2.0p0',
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885 '+0x1 .0p0',
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diff changeset
886 '0x1. 0p0',
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diff changeset
887 '-0x1.0 1p0',
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diff changeset
888 '-0x1.0 p0',
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diff changeset
889 '+0x1.0p +0',
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diff changeset
890 '0x1.0p -0',
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891 '0x1.0p 0',
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diff changeset
892 '+0x1.0p+ 0',
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diff changeset
893 '-0x1.0p- 0',
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diff changeset
894 '++0x1.0p-0', # double signs
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diff changeset
895 '--0x1.0p0',
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diff changeset
896 '+-0x1.0p+0',
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diff changeset
897 '-+0x1.0p0',
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diff changeset
898 '0x1.0p++0',
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diff changeset
899 '+0x1.0p+-0',
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diff changeset
900 '-0x1.0p-+0',
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diff changeset
901 '0x1.0p--0',
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diff changeset
902 '0x1.0.p0',
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diff changeset
903 '0x.p0', # no hex digits before or after point
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diff changeset
904 '0x1,p0', # wrong decimal point character
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diff changeset
905 '0x1pa',
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diff changeset
906 '0x1p\uff10', # fullwidth Unicode digits
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diff changeset
907 '\uff10x1p0',
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diff changeset
908 '0x\uff11p0',
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diff changeset
909 '0x1.\uff10p0',
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diff changeset
910 '0x1p0 \n 0x2p0',
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diff changeset
911 '0x1p0\0 0x1p0', # embedded null byte is not end of string
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912 ]
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913 for x in invalid_inputs:
48817
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914 try:
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915 result = fromHex(x)
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916 except ValueError:
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917 pass
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918 else:
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919 self.fail('Expected float.fromhex(%r) to raise ValueError; '
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920 'got %r instead' % (x, result))
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921
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922
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923 def test_whitespace(self):
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924 value_pairs = [
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925 ('inf', INF),
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926 ('-Infinity', -INF),
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927 ('nan', NAN),
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928 ('1.0', 1.0),
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929 ('-0x.2', -0.125),
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930 ('-0.0', -0.0)
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931 ]
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932 whitespace = [
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933 '',
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934 ' ',
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935 '\t',
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936 '\n',
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937 '\n \t',
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938 '\f',
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939 '\v',
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940 '\r'
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941 ]
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942 for inp, expected in value_pairs:
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943 for lead in whitespace:
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944 for trail in whitespace:
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945 got = fromHex(lead + inp + trail)
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946 self.identical(got, expected)
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947
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948
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949 def test_from_hex(self):
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950 MIN = self.MIN;
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951 MAX = self.MAX;
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952 TINY = self.TINY;
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953 EPS = self.EPS;
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954
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955 # two spellings of infinity, with optional signs; case-insensitive
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956 self.identical(fromHex('inf'), INF)
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957 self.identical(fromHex('+Inf'), INF)
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958 self.identical(fromHex('-INF'), -INF)
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959 self.identical(fromHex('iNf'), INF)
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960 self.identical(fromHex('Infinity'), INF)
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961 self.identical(fromHex('+INFINITY'), INF)
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962 self.identical(fromHex('-infinity'), -INF)
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963 self.identical(fromHex('-iNFiNitY'), -INF)
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964
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965 # nans with optional sign; case insensitive
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966 self.identical(fromHex('nan'), NAN)
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967 self.identical(fromHex('+NaN'), NAN)
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968 self.identical(fromHex('-NaN'), NAN)
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969 self.identical(fromHex('-nAN'), NAN)
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970
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971 # variations in input format
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972 self.identical(fromHex('1'), 1.0)
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973 self.identical(fromHex('+1'), 1.0)
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974 self.identical(fromHex('1.'), 1.0)
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975 self.identical(fromHex('1.0'), 1.0)
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976 self.identical(fromHex('1.0p0'), 1.0)
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977 self.identical(fromHex('01'), 1.0)
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978 self.identical(fromHex('01.'), 1.0)
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979 self.identical(fromHex('0x1'), 1.0)
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980 self.identical(fromHex('0x1.'), 1.0)
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981 self.identical(fromHex('0x1.0'), 1.0)
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982 self.identical(fromHex('+0x1.0'), 1.0)
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983 self.identical(fromHex('0x1p0'), 1.0)
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984 self.identical(fromHex('0X1p0'), 1.0)
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985 self.identical(fromHex('0X1P0'), 1.0)
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986 self.identical(fromHex('0x1P0'), 1.0)
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987 self.identical(fromHex('0x1.p0'), 1.0)
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988 self.identical(fromHex('0x1.0p0'), 1.0)
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989 self.identical(fromHex('0x.1p4'), 1.0)
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990 self.identical(fromHex('0x.1p04'), 1.0)
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991 self.identical(fromHex('0x.1p004'), 1.0)
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992 self.identical(fromHex('0x1p+0'), 1.0)
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993 self.identical(fromHex('0x1P-0'), 1.0)
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994 self.identical(fromHex('+0x1p0'), 1.0)
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995 self.identical(fromHex('0x01p0'), 1.0)
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996 self.identical(fromHex('0x1p00'), 1.0)
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997 self.identical(fromHex(' 0x1p0 '), 1.0)
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998 self.identical(fromHex('\n 0x1p0'), 1.0)
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999 self.identical(fromHex('0x1p0 \t'), 1.0)
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1000 self.identical(fromHex('0xap0'), 10.0)
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1001 self.identical(fromHex('0xAp0'), 10.0)
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1002 self.identical(fromHex('0xaP0'), 10.0)
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1003 self.identical(fromHex('0xAP0'), 10.0)
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1004 self.identical(fromHex('0xbep0'), 190.0)
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1005 self.identical(fromHex('0xBep0'), 190.0)
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1006 self.identical(fromHex('0xbEp0'), 190.0)
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1007 self.identical(fromHex('0XBE0P-4'), 190.0)
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1008 self.identical(fromHex('0xBEp0'), 190.0)
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1009 self.identical(fromHex('0xB.Ep4'), 190.0)
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1010 self.identical(fromHex('0x.BEp8'), 190.0)
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1011 self.identical(fromHex('0x.0BEp12'), 190.0)
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1012
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1013 # moving the point around
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1014 pi = fromHex('0x1.921fb54442d18p1')
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1015 self.identical(fromHex('0x.006487ed5110b46p11'), pi)
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1016 self.identical(fromHex('0x.00c90fdaa22168cp10'), pi)
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1017 self.identical(fromHex('0x.01921fb54442d18p9'), pi)
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1018 self.identical(fromHex('0x.03243f6a8885a3p8'), pi)
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1019 self.identical(fromHex('0x.06487ed5110b46p7'), pi)
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1020 self.identical(fromHex('0x.0c90fdaa22168cp6'), pi)
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1021 self.identical(fromHex('0x.1921fb54442d18p5'), pi)
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1022 self.identical(fromHex('0x.3243f6a8885a3p4'), pi)
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1023 self.identical(fromHex('0x.6487ed5110b46p3'), pi)
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1024 self.identical(fromHex('0x.c90fdaa22168cp2'), pi)
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1025 self.identical(fromHex('0x1.921fb54442d18p1'), pi)
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1026 self.identical(fromHex('0x3.243f6a8885a3p0'), pi)
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1027 self.identical(fromHex('0x6.487ed5110b46p-1'), pi)
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1028 self.identical(fromHex('0xc.90fdaa22168cp-2'), pi)
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1029 self.identical(fromHex('0x19.21fb54442d18p-3'), pi)
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1030 self.identical(fromHex('0x32.43f6a8885a3p-4'), pi)
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1031 self.identical(fromHex('0x64.87ed5110b46p-5'), pi)
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1032 self.identical(fromHex('0xc9.0fdaa22168cp-6'), pi)
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1033 self.identical(fromHex('0x192.1fb54442d18p-7'), pi)
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1034 self.identical(fromHex('0x324.3f6a8885a3p-8'), pi)
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1035 self.identical(fromHex('0x648.7ed5110b46p-9'), pi)
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1036 self.identical(fromHex('0xc90.fdaa22168cp-10'), pi)
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1037 self.identical(fromHex('0x1921.fb54442d18p-11'), pi)
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1038 # ...
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1039 self.identical(fromHex('0x1921fb54442d1.8p-47'), pi)
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1040 self.identical(fromHex('0x3243f6a8885a3p-48'), pi)
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1041 self.identical(fromHex('0x6487ed5110b46p-49'), pi)
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1042 self.identical(fromHex('0xc90fdaa22168cp-50'), pi)
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1043 self.identical(fromHex('0x1921fb54442d18p-51'), pi)
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1044 self.identical(fromHex('0x3243f6a8885a30p-52'), pi)
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1045 self.identical(fromHex('0x6487ed5110b460p-53'), pi)
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1046 self.identical(fromHex('0xc90fdaa22168c0p-54'), pi)
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1047 self.identical(fromHex('0x1921fb54442d180p-55'), pi)
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1048
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1049
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1050 # results that should overflow...
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1051 self.assertRaises(OverflowError, fromHex, '-0x1p1024')
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1052 self.assertRaises(OverflowError, fromHex, '0x1p+1025')
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1053 self.assertRaises(OverflowError, fromHex, '+0X1p1030')
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1054 self.assertRaises(OverflowError, fromHex, '-0x1p+1100')
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1055 self.assertRaises(OverflowError, fromHex, '0X1p123456789123456789')
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1056 self.assertRaises(OverflowError, fromHex, '+0X.8p+1025')
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1057 self.assertRaises(OverflowError, fromHex, '+0x0.8p1025')
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1058 self.assertRaises(OverflowError, fromHex, '-0x0.4p1026')
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1059 self.assertRaises(OverflowError, fromHex, '0X2p+1023')
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1060 self.assertRaises(OverflowError, fromHex, '0x2.p1023')
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1061 self.assertRaises(OverflowError, fromHex, '-0x2.0p+1023')
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1062 self.assertRaises(OverflowError, fromHex, '+0X4p+1022')
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1063 self.assertRaises(OverflowError, fromHex, '0x1.ffffffffffffffp+1023')
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1064 self.assertRaises(OverflowError, fromHex, '-0X1.fffffffffffff9p1023')
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1065 self.assertRaises(OverflowError, fromHex, '0X1.fffffffffffff8p1023')
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1066 self.assertRaises(OverflowError, fromHex, '+0x3.fffffffffffffp1022')
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1067 self.assertRaises(OverflowError, fromHex, '0x3fffffffffffffp+970')
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1068 self.assertRaises(OverflowError, fromHex, '0x10000000000000000p960')
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1069 self.assertRaises(OverflowError, fromHex, '-0Xffffffffffffffffp960')
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1070
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1071 # ...and those that round to +-max float
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1072 self.identical(fromHex('+0x1.fffffffffffffp+1023'), MAX)
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1073 self.identical(fromHex('-0X1.fffffffffffff7p1023'), -MAX)
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1074 self.identical(fromHex('0X1.fffffffffffff7fffffffffffffp1023'), MAX)
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1075
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1076 # zeros
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1077 self.identical(fromHex('0x0p0'), 0.0)
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parents: 47322
diff changeset
1078 self.identical(fromHex('0x0p1000'), 0.0)
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parents: 47322
diff changeset
1079 self.identical(fromHex('-0x0p1023'), -0.0)
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parents: 47322
diff changeset
1080 self.identical(fromHex('0X0p1024'), 0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1081 self.identical(fromHex('-0x0p1025'), -0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1082 self.identical(fromHex('0X0p2000'), 0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1083 self.identical(fromHex('0x0p123456789123456789'), 0.0)
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parents: 47322
diff changeset
1084 self.identical(fromHex('-0X0p-0'), -0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1085 self.identical(fromHex('-0X0p-1000'), -0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1086 self.identical(fromHex('0x0p-1023'), 0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1087 self.identical(fromHex('-0X0p-1024'), -0.0)
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Mark Dickinson <dickinsm@gmail.com>
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diff changeset
1088 self.identical(fromHex('-0x0p-1025'), -0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1089 self.identical(fromHex('-0x0p-1072'), -0.0)
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parents: 47322
diff changeset
1090 self.identical(fromHex('0X0p-1073'), 0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1091 self.identical(fromHex('-0x0p-1074'), -0.0)
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Mark Dickinson <dickinsm@gmail.com>
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diff changeset
1092 self.identical(fromHex('0x0p-1075'), 0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1093 self.identical(fromHex('0X0p-1076'), 0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1094 self.identical(fromHex('-0X0p-2000'), -0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1095 self.identical(fromHex('-0x0p-123456789123456789'), -0.0)
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diff changeset
1096
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diff changeset
1097 # values that should underflow to 0
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diff changeset
1098 self.identical(fromHex('0X1p-1075'), 0.0)
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parents: 47322
diff changeset
1099 self.identical(fromHex('-0X1p-1075'), -0.0)
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Mark Dickinson <dickinsm@gmail.com>
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diff changeset
1100 self.identical(fromHex('-0x1p-123456789123456789'), -0.0)
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diff changeset
1101 self.identical(fromHex('0x1.00000000000000001p-1075'), TINY)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1102 self.identical(fromHex('-0x1.1p-1075'), -TINY)
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parents: 47322
diff changeset
1103 self.identical(fromHex('0x1.fffffffffffffffffp-1075'), TINY)
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diff changeset
1104
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parents: 47322
diff changeset
1105 # check round-half-even is working correctly near 0 ...
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parents: 47322
diff changeset
1106 self.identical(fromHex('0x1p-1076'), 0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1107 self.identical(fromHex('0X2p-1076'), 0.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1108 self.identical(fromHex('0X3p-1076'), TINY)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1109 self.identical(fromHex('0x4p-1076'), TINY)
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parents: 47322
diff changeset
1110 self.identical(fromHex('0X5p-1076'), TINY)
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parents: 47322
diff changeset
1111 self.identical(fromHex('0X6p-1076'), 2*TINY)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1112 self.identical(fromHex('0x7p-1076'), 2*TINY)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1113 self.identical(fromHex('0X8p-1076'), 2*TINY)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1114 self.identical(fromHex('0X9p-1076'), 2*TINY)
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parents: 47322
diff changeset
1115 self.identical(fromHex('0xap-1076'), 2*TINY)
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parents: 47322
diff changeset
1116 self.identical(fromHex('0Xbp-1076'), 3*TINY)
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parents: 47322
diff changeset
1117 self.identical(fromHex('0xcp-1076'), 3*TINY)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1118 self.identical(fromHex('0Xdp-1076'), 3*TINY)
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parents: 47322
diff changeset
1119 self.identical(fromHex('0Xep-1076'), 4*TINY)
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diff changeset
1120 self.identical(fromHex('0xfp-1076'), 4*TINY)
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parents: 47322
diff changeset
1121 self.identical(fromHex('0x10p-1076'), 4*TINY)
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parents: 47322
diff changeset
1122 self.identical(fromHex('-0x1p-1076'), -0.0)
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parents: 47322
diff changeset
1123 self.identical(fromHex('-0X2p-1076'), -0.0)
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diff changeset
1124 self.identical(fromHex('-0x3p-1076'), -TINY)
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diff changeset
1125 self.identical(fromHex('-0X4p-1076'), -TINY)
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diff changeset
1126 self.identical(fromHex('-0x5p-1076'), -TINY)
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parents: 47322
diff changeset
1127 self.identical(fromHex('-0x6p-1076'), -2*TINY)
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diff changeset
1128 self.identical(fromHex('-0X7p-1076'), -2*TINY)
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diff changeset
1129 self.identical(fromHex('-0X8p-1076'), -2*TINY)
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diff changeset
1130 self.identical(fromHex('-0X9p-1076'), -2*TINY)
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diff changeset
1131 self.identical(fromHex('-0Xap-1076'), -2*TINY)
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parents: 47322
diff changeset
1132 self.identical(fromHex('-0xbp-1076'), -3*TINY)
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diff changeset
1133 self.identical(fromHex('-0xcp-1076'), -3*TINY)
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diff changeset
1134 self.identical(fromHex('-0Xdp-1076'), -3*TINY)
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diff changeset
1135 self.identical(fromHex('-0xep-1076'), -4*TINY)
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diff changeset
1136 self.identical(fromHex('-0Xfp-1076'), -4*TINY)
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diff changeset
1137 self.identical(fromHex('-0X10p-1076'), -4*TINY)
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diff changeset
1138
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diff changeset
1139 # ... and near MIN ...
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diff changeset
1140 self.identical(fromHex('0x0.ffffffffffffd6p-1022'), MIN-3*TINY)
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diff changeset
1141 self.identical(fromHex('0x0.ffffffffffffd8p-1022'), MIN-2*TINY)
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diff changeset
1142 self.identical(fromHex('0x0.ffffffffffffdap-1022'), MIN-2*TINY)
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diff changeset
1143 self.identical(fromHex('0x0.ffffffffffffdcp-1022'), MIN-2*TINY)
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diff changeset
1144 self.identical(fromHex('0x0.ffffffffffffdep-1022'), MIN-2*TINY)
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diff changeset
1145 self.identical(fromHex('0x0.ffffffffffffe0p-1022'), MIN-2*TINY)
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parents: 47322
diff changeset
1146 self.identical(fromHex('0x0.ffffffffffffe2p-1022'), MIN-2*TINY)
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diff changeset
1147 self.identical(fromHex('0x0.ffffffffffffe4p-1022'), MIN-2*TINY)
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diff changeset
1148 self.identical(fromHex('0x0.ffffffffffffe6p-1022'), MIN-2*TINY)
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diff changeset
1149 self.identical(fromHex('0x0.ffffffffffffe8p-1022'), MIN-2*TINY)
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diff changeset
1150 self.identical(fromHex('0x0.ffffffffffffeap-1022'), MIN-TINY)
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diff changeset
1151 self.identical(fromHex('0x0.ffffffffffffecp-1022'), MIN-TINY)
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diff changeset
1152 self.identical(fromHex('0x0.ffffffffffffeep-1022'), MIN-TINY)
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parents: 47322
diff changeset
1153 self.identical(fromHex('0x0.fffffffffffff0p-1022'), MIN-TINY)
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diff changeset
1154 self.identical(fromHex('0x0.fffffffffffff2p-1022'), MIN-TINY)
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diff changeset
1155 self.identical(fromHex('0x0.fffffffffffff4p-1022'), MIN-TINY)
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diff changeset
1156 self.identical(fromHex('0x0.fffffffffffff6p-1022'), MIN-TINY)
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diff changeset
1157 self.identical(fromHex('0x0.fffffffffffff8p-1022'), MIN)
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diff changeset
1158 self.identical(fromHex('0x0.fffffffffffffap-1022'), MIN)
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Mark Dickinson <dickinsm@gmail.com>
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diff changeset
1159 self.identical(fromHex('0x0.fffffffffffffcp-1022'), MIN)
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diff changeset
1160 self.identical(fromHex('0x0.fffffffffffffep-1022'), MIN)
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parents: 47322
diff changeset
1161 self.identical(fromHex('0x1.00000000000000p-1022'), MIN)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1162 self.identical(fromHex('0x1.00000000000002p-1022'), MIN)
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parents: 47322
diff changeset
1163 self.identical(fromHex('0x1.00000000000004p-1022'), MIN)
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diff changeset
1164 self.identical(fromHex('0x1.00000000000006p-1022'), MIN)
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diff changeset
1165 self.identical(fromHex('0x1.00000000000008p-1022'), MIN)
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diff changeset
1166 self.identical(fromHex('0x1.0000000000000ap-1022'), MIN+TINY)
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diff changeset
1167 self.identical(fromHex('0x1.0000000000000cp-1022'), MIN+TINY)
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diff changeset
1168 self.identical(fromHex('0x1.0000000000000ep-1022'), MIN+TINY)
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parents: 47322
diff changeset
1169 self.identical(fromHex('0x1.00000000000010p-1022'), MIN+TINY)
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parents: 47322
diff changeset
1170 self.identical(fromHex('0x1.00000000000012p-1022'), MIN+TINY)
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diff changeset
1171 self.identical(fromHex('0x1.00000000000014p-1022'), MIN+TINY)
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parents: 47322
diff changeset
1172 self.identical(fromHex('0x1.00000000000016p-1022'), MIN+TINY)
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parents: 47322
diff changeset
1173 self.identical(fromHex('0x1.00000000000018p-1022'), MIN+2*TINY)
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diff changeset
1174
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diff changeset
1175 # ... and near 1.0.
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parents: 47322
diff changeset
1176 self.identical(fromHex('0x0.fffffffffffff0p0'), 1.0-EPS)
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diff changeset
1177 self.identical(fromHex('0x0.fffffffffffff1p0'), 1.0-EPS)
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parents: 47322
diff changeset
1178 self.identical(fromHex('0X0.fffffffffffff2p0'), 1.0-EPS)
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parents: 47322
diff changeset
1179 self.identical(fromHex('0x0.fffffffffffff3p0'), 1.0-EPS)
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diff changeset
1180 self.identical(fromHex('0X0.fffffffffffff4p0'), 1.0-EPS)
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diff changeset
1181 self.identical(fromHex('0X0.fffffffffffff5p0'), 1.0-EPS/2)
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diff changeset
1182 self.identical(fromHex('0X0.fffffffffffff6p0'), 1.0-EPS/2)
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diff changeset
1183 self.identical(fromHex('0x0.fffffffffffff7p0'), 1.0-EPS/2)
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diff changeset
1184 self.identical(fromHex('0x0.fffffffffffff8p0'), 1.0-EPS/2)
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diff changeset
1185 self.identical(fromHex('0X0.fffffffffffff9p0'), 1.0-EPS/2)
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diff changeset
1186 self.identical(fromHex('0X0.fffffffffffffap0'), 1.0-EPS/2)
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diff changeset
1187 self.identical(fromHex('0x0.fffffffffffffbp0'), 1.0-EPS/2)
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diff changeset
1188 self.identical(fromHex('0X0.fffffffffffffcp0'), 1.0)
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diff changeset
1189 self.identical(fromHex('0x0.fffffffffffffdp0'), 1.0)
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parents: 47322
diff changeset
1190 self.identical(fromHex('0X0.fffffffffffffep0'), 1.0)
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diff changeset
1191 self.identical(fromHex('0x0.ffffffffffffffp0'), 1.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1192 self.identical(fromHex('0X1.00000000000000p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1193 self.identical(fromHex('0X1.00000000000001p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1194 self.identical(fromHex('0x1.00000000000002p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1195 self.identical(fromHex('0X1.00000000000003p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1196 self.identical(fromHex('0x1.00000000000004p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1197 self.identical(fromHex('0X1.00000000000005p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1198 self.identical(fromHex('0X1.00000000000006p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1199 self.identical(fromHex('0X1.00000000000007p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1200 self.identical(fromHex('0x1.00000000000007ffffffffffffffffffffp0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1201 1.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1202 self.identical(fromHex('0x1.00000000000008p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1203 self.identical(fromHex('0x1.00000000000008000000000000000001p0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1204 1+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1205 self.identical(fromHex('0X1.00000000000009p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1206 self.identical(fromHex('0x1.0000000000000ap0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1207 self.identical(fromHex('0x1.0000000000000bp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1208 self.identical(fromHex('0X1.0000000000000cp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1209 self.identical(fromHex('0x1.0000000000000dp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1210 self.identical(fromHex('0x1.0000000000000ep0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1211 self.identical(fromHex('0X1.0000000000000fp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1212 self.identical(fromHex('0x1.00000000000010p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1213 self.identical(fromHex('0X1.00000000000011p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1214 self.identical(fromHex('0x1.00000000000012p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1215 self.identical(fromHex('0X1.00000000000013p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1216 self.identical(fromHex('0X1.00000000000014p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1217 self.identical(fromHex('0x1.00000000000015p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1218 self.identical(fromHex('0x1.00000000000016p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1219 self.identical(fromHex('0X1.00000000000017p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1220 self.identical(fromHex('0x1.00000000000017ffffffffffffffffffffp0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1221 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1222 self.identical(fromHex('0x1.00000000000018p0'), 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1223 self.identical(fromHex('0X1.00000000000018000000000000000001p0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1224 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1225 self.identical(fromHex('0x1.00000000000019p0'), 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1226 self.identical(fromHex('0X1.0000000000001ap0'), 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1227 self.identical(fromHex('0X1.0000000000001bp0'), 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1228 self.identical(fromHex('0x1.0000000000001cp0'), 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1229 self.identical(fromHex('0x1.0000000000001dp0'), 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1230 self.identical(fromHex('0x1.0000000000001ep0'), 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1231 self.identical(fromHex('0X1.0000000000001fp0'), 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1232 self.identical(fromHex('0x1.00000000000020p0'), 1.0+2*EPS)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1233
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1234 def test_roundtrip(self):
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1235 def roundtrip(x):
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1236 return fromHex(toHex(x))
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1237
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parents: 47322
diff changeset
1238 for x in [NAN, INF, self.MAX, self.MIN, self.MIN-self.TINY, self.TINY, 0.0]:
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1239 self.identical(x, roundtrip(x))
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1240 self.identical(-x, roundtrip(-x))
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1241
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1242 # fromHex(toHex(x)) should exactly recover x, for any non-NaN float x.
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1243 import random
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1244 for i in range(10000):
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1245 e = random.randrange(-1200, 1200)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1246 m = random.random()
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1247 s = random.choice([1.0, -1.0])
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1248 try:
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1249 x = s*ldexp(m, e)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1250 except OverflowError:
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1251 pass
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1252 else:
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1253 self.identical(x, fromHex(toHex(x)))
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1254
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45023
diff changeset
1255
34972
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1256 def test_main():
47201
9c930a32cebb #2621 rename test.test_support to test.support
Benjamin Peterson <benjamin@python.org>
parents: 46664
diff changeset
1257 support.run_unittest(
49055
ca1a8ac47d04 I modified the tests a bit to account for unicode string
Amaury Forgeot d'Arc <amauryfa@gmail.com>
parents: 48817
diff changeset
1258 GeneralFloatCases,
34972
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1259 FormatFunctionsTestCase,
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1260 UnknownFormatTestCase,
42817
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
1261 IEEEFormatTestCase,
44260
682d9788a038 Issue #1580: New free format floating point representation based on "Floating-Point Printer Sample Code", by Robert G. Burger. For example repr(11./5) now returns '2.2' instead of '2.2000000000000002'.
Christian Heimes <christian@cheimes.de>
parents: 43947
diff changeset
1262 FormatTestCase,
44349
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Christian Heimes <christian@cheimes.de>
parents: 44268
diff changeset
1263 ReprTestCase,
53218
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
1264 RoundTestCase,
44349
4dc01402d78a Merged revisions 59541-59561 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44268
diff changeset
1265 InfNanTest,
48497
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1266 HexFloatTestCase,
44268
7ae604b3533b Merged revisions 59450-59464 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44260
diff changeset
1267 )
34972
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1268
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1269 if __name__ == '__main__':
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1270 test_main()