annotate Lib/test/test_float.py @ 87690:66c1c9f32567 default tip

Add use_weakref option to functools.lru_cache The use_weakref option makes lru_cache create weak references to the function arguments when creating the cache key, which prevents them from staying in the memory forever even after all other references to them are gone. This is a proof of concept for http://bugs.python.org/issue19859
author Radomir Dopieralski <devel@sheep.art.pl>
date Tue, 03 Dec 2013 16:02:48 +0100
parents a73c47c1d374
children
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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
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20 #locate file with float format test values
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21 test_dir = os.path.dirname(__file__) or os.curdir
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22 format_testfile = os.path.join(test_dir, 'formatfloat_testcases.txt')
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23
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24 class GeneralFloatCases(unittest.TestCase):
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26 def test_float(self):
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27 self.assertEqual(float(3.14), 3.14)
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28 self.assertEqual(float(314), 314.0)
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29 self.assertEqual(float(" 3.14 "), 3.14)
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30 self.assertEqual(float(b" 3.14 "), 3.14)
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31 self.assertRaises(ValueError, float, " 0x3.1 ")
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32 self.assertRaises(ValueError, float, " -0x3.p-1 ")
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33 self.assertRaises(ValueError, float, " +0x3.p-1 ")
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34 self.assertRaises(ValueError, float, "++3.14")
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35 self.assertRaises(ValueError, float, "+-3.14")
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36 self.assertRaises(ValueError, float, "-+3.14")
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37 self.assertRaises(ValueError, float, "--3.14")
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38 self.assertRaises(ValueError, float, ".nan")
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39 self.assertRaises(ValueError, float, "+.inf")
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40 self.assertRaises(ValueError, float, ".")
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41 self.assertRaises(ValueError, float, "-.")
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42 self.assertRaises(ValueError, float, b"-")
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43 self.assertRaises(TypeError, float, {})
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44 self.assertRaisesRegex(TypeError, "not 'dict'", float, {})
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45 # Lone surrogate
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46 self.assertRaises(UnicodeEncodeError, float, '\uD8F0')
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47 # check that we don't accept alternate exponent markers
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48 self.assertRaises(ValueError, float, "-1.7d29")
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49 self.assertRaises(ValueError, float, "3D-14")
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50 self.assertEqual(float(" \u0663.\u0661\u0664 "), 3.14)
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51 self.assertEqual(float("\N{EM SPACE}3.14\N{EN SPACE}"), 3.14)
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52 # extra long strings should not be a problem
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53 float(b'.' + b'1'*1000)
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54 float('.' + '1'*1000)
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55
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56 def test_error_message(self):
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57 testlist = ('\xbd', '123\xbd', ' 123 456 ')
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58 for s in testlist:
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59 try:
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60 float(s)
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61 except ValueError as e:
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62 self.assertIn(s.strip(), e.args[0])
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63 else:
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64 self.fail("Expected int(%r) to raise a ValueError", s)
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65
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66
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67 @support.run_with_locale('LC_NUMERIC', 'fr_FR', 'de_DE')
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68 def test_float_with_comma(self):
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69 # set locale to something that doesn't use '.' for the decimal point
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70 # float must not accept the locale specific decimal point but
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71 # it still has to accept the normal python syntax
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72 import locale
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73 if not locale.localeconv()['decimal_point'] == ',':
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74 return
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75
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76 self.assertEqual(float(" 3.14 "), 3.14)
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77 self.assertEqual(float("+3.14 "), 3.14)
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78 self.assertEqual(float("-3.14 "), -3.14)
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79 self.assertEqual(float(".14 "), .14)
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80 self.assertEqual(float("3. "), 3.0)
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81 self.assertEqual(float("3.e3 "), 3000.0)
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82 self.assertEqual(float("3.2e3 "), 3200.0)
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83 self.assertEqual(float("2.5e-1 "), 0.25)
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84 self.assertEqual(float("5e-1"), 0.5)
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85 self.assertRaises(ValueError, float, " 3,14 ")
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86 self.assertRaises(ValueError, float, " +3,14 ")
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87 self.assertRaises(ValueError, float, " -3,14 ")
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88 self.assertRaises(ValueError, float, " 0x3.1 ")
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89 self.assertRaises(ValueError, float, " -0x3.p-1 ")
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90 self.assertRaises(ValueError, float, " +0x3.p-1 ")
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91 self.assertEqual(float(" 25.e-1 "), 2.5)
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92 self.assertAlmostEqual(float(" .25e-1 "), .025)
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93
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94 def test_floatconversion(self):
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95 # Make sure that calls to __float__() work properly
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96 class Foo0:
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97 def __float__(self):
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98 return 42.
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99
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100 class Foo1(object):
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101 def __float__(self):
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102 return 42.
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103
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104 class Foo2(float):
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105 def __float__(self):
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106 return 42.
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107
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108 class Foo3(float):
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109 def __new__(cls, value=0.):
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110 return float.__new__(cls, 2*value)
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111
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112 def __float__(self):
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113 return self
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114
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115 class Foo4(float):
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116 def __float__(self):
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117 return 42
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118
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119 # Issue 5759: __float__ not called on str subclasses (though it is on
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120 # unicode subclasses).
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121 class FooStr(str):
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122 def __float__(self):
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123 return float(str(self)) + 1
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124
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125 self.assertAlmostEqual(float(Foo0()), 42.)
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126 self.assertAlmostEqual(float(Foo1()), 42.)
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127 self.assertAlmostEqual(float(Foo2()), 42.)
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128 self.assertAlmostEqual(float(Foo3(21)), 42.)
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129 self.assertRaises(TypeError, float, Foo4(42))
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130 self.assertAlmostEqual(float(FooStr('8')), 9.)
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131
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132 def test_is_integer(self):
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133 self.assertFalse((1.1).is_integer())
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134 self.assertTrue((1.).is_integer())
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135 self.assertFalse(float("nan").is_integer())
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136 self.assertFalse(float("inf").is_integer())
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137
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138 def test_floatasratio(self):
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139 for f, ratio in [
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140 (0.875, (7, 8)),
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141 (-0.875, (-7, 8)),
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142 (0.0, (0, 1)),
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143 (11.5, (23, 2)),
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144 ]:
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145 self.assertEqual(f.as_integer_ratio(), ratio)
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146
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147 for i in range(10000):
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148 f = random.random()
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149 f *= 10 ** random.randint(-100, 100)
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150 n, d = f.as_integer_ratio()
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151 self.assertEqual(float(n).__truediv__(d), f)
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152
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153 R = fractions.Fraction
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154 self.assertEqual(R(0, 1),
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155 R(*float(0.0).as_integer_ratio()))
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156 self.assertEqual(R(5, 2),
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157 R(*float(2.5).as_integer_ratio()))
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158 self.assertEqual(R(1, 2),
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159 R(*float(0.5).as_integer_ratio()))
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160 self.assertEqual(R(4728779608739021, 2251799813685248),
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161 R(*float(2.1).as_integer_ratio()))
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162 self.assertEqual(R(-4728779608739021, 2251799813685248),
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163 R(*float(-2.1).as_integer_ratio()))
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164 self.assertEqual(R(-2100, 1),
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165 R(*float(-2100.0).as_integer_ratio()))
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166
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167 self.assertRaises(OverflowError, float('inf').as_integer_ratio)
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168 self.assertRaises(OverflowError, float('-inf').as_integer_ratio)
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169 self.assertRaises(ValueError, float('nan').as_integer_ratio)
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170
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171 def test_float_containment(self):
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172 floats = (INF, -INF, 0.0, 1.0, NAN)
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173 for f in floats:
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174 self.assertIn(f, [f])
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175 self.assertIn(f, (f,))
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176 self.assertIn(f, {f})
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177 self.assertIn(f, {f: None})
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178 self.assertEqual([f].count(f), 1, "[].count('%r') != 1" % f)
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179 self.assertIn(f, floats)
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180
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181 for f in floats:
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182 # nonidentical containers, same type, same contents
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183 self.assertTrue([f] == [f], "[%r] != [%r]" % (f, f))
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184 self.assertTrue((f,) == (f,), "(%r,) != (%r,)" % (f, f))
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185 self.assertTrue({f} == {f}, "{%r} != {%r}" % (f, f))
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186 self.assertTrue({f : None} == {f: None}, "{%r : None} != "
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187 "{%r : None}" % (f, f))
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188
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189 # identical containers
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190 l, t, s, d = [f], (f,), {f}, {f: None}
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191 self.assertTrue(l == l, "[%r] not equal to itself" % f)
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192 self.assertTrue(t == t, "(%r,) not equal to itself" % f)
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193 self.assertTrue(s == s, "{%r} not equal to itself" % f)
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194 self.assertTrue(d == d, "{%r : None} not equal to itself" % f)
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195
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196 def assertEqualAndEqualSign(self, a, b):
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197 # fail unless a == b and a and b have the same sign bit;
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198 # the only difference from assertEqual is that this test
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199 # distinguishes -0.0 and 0.0.
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200 self.assertEqual((a, copysign(1.0, a)), (b, copysign(1.0, b)))
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201
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202 @support.requires_IEEE_754
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203 def test_float_mod(self):
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204 # Check behaviour of % operator for IEEE 754 special cases.
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205 # In particular, check signs of zeros.
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206 mod = operator.mod
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207
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208 self.assertEqualAndEqualSign(mod(-1.0, 1.0), 0.0)
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209 self.assertEqualAndEqualSign(mod(-1e-100, 1.0), 1.0)
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210 self.assertEqualAndEqualSign(mod(-0.0, 1.0), 0.0)
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211 self.assertEqualAndEqualSign(mod(0.0, 1.0), 0.0)
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212 self.assertEqualAndEqualSign(mod(1e-100, 1.0), 1e-100)
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213 self.assertEqualAndEqualSign(mod(1.0, 1.0), 0.0)
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214
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215 self.assertEqualAndEqualSign(mod(-1.0, -1.0), -0.0)
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216 self.assertEqualAndEqualSign(mod(-1e-100, -1.0), -1e-100)
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217 self.assertEqualAndEqualSign(mod(-0.0, -1.0), -0.0)
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218 self.assertEqualAndEqualSign(mod(0.0, -1.0), -0.0)
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219 self.assertEqualAndEqualSign(mod(1e-100, -1.0), -1.0)
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220 self.assertEqualAndEqualSign(mod(1.0, -1.0), -0.0)
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221
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222 @support.requires_IEEE_754
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223 def test_float_pow(self):
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224 # test builtin pow and ** operator for IEEE 754 special cases.
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225 # Special cases taken from section F.9.4.4 of the C99 specification
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226
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227 for pow_op in pow, operator.pow:
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228 # x**NAN is NAN for any x except 1
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229 self.assertTrue(isnan(pow_op(-INF, NAN)))
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230 self.assertTrue(isnan(pow_op(-2.0, NAN)))
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231 self.assertTrue(isnan(pow_op(-1.0, NAN)))
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232 self.assertTrue(isnan(pow_op(-0.5, NAN)))
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233 self.assertTrue(isnan(pow_op(-0.0, NAN)))
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234 self.assertTrue(isnan(pow_op(0.0, NAN)))
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235 self.assertTrue(isnan(pow_op(0.5, NAN)))
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236 self.assertTrue(isnan(pow_op(2.0, NAN)))
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237 self.assertTrue(isnan(pow_op(INF, NAN)))
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238 self.assertTrue(isnan(pow_op(NAN, NAN)))
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239
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240 # NAN**y is NAN for any y except +-0
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241 self.assertTrue(isnan(pow_op(NAN, -INF)))
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242 self.assertTrue(isnan(pow_op(NAN, -2.0)))
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243 self.assertTrue(isnan(pow_op(NAN, -1.0)))
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244 self.assertTrue(isnan(pow_op(NAN, -0.5)))
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245 self.assertTrue(isnan(pow_op(NAN, 0.5)))
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246 self.assertTrue(isnan(pow_op(NAN, 1.0)))
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247 self.assertTrue(isnan(pow_op(NAN, 2.0)))
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248 self.assertTrue(isnan(pow_op(NAN, INF)))
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249
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250 # (+-0)**y raises ZeroDivisionError for y a negative odd integer
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251 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -1.0)
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252 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -1.0)
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253
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254 # (+-0)**y raises ZeroDivisionError for y finite and negative
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255 # but not an odd integer
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256 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -2.0)
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257 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -0.5)
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258 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -2.0)
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259 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -0.5)
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260
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261 # (+-0)**y is +-0 for y a positive odd integer
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262 self.assertEqualAndEqualSign(pow_op(-0.0, 1.0), -0.0)
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263 self.assertEqualAndEqualSign(pow_op(0.0, 1.0), 0.0)
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264
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265 # (+-0)**y is 0 for y finite and positive but not an odd integer
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266 self.assertEqualAndEqualSign(pow_op(-0.0, 0.5), 0.0)
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267 self.assertEqualAndEqualSign(pow_op(-0.0, 2.0), 0.0)
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268 self.assertEqualAndEqualSign(pow_op(0.0, 0.5), 0.0)
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269 self.assertEqualAndEqualSign(pow_op(0.0, 2.0), 0.0)
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270
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271 # (-1)**+-inf is 1
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272 self.assertEqualAndEqualSign(pow_op(-1.0, -INF), 1.0)
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273 self.assertEqualAndEqualSign(pow_op(-1.0, INF), 1.0)
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274
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275 # 1**y is 1 for any y, even if y is an infinity or nan
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276 self.assertEqualAndEqualSign(pow_op(1.0, -INF), 1.0)
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277 self.assertEqualAndEqualSign(pow_op(1.0, -2.0), 1.0)
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278 self.assertEqualAndEqualSign(pow_op(1.0, -1.0), 1.0)
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279 self.assertEqualAndEqualSign(pow_op(1.0, -0.5), 1.0)
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280 self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
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281 self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
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282 self.assertEqualAndEqualSign(pow_op(1.0, 0.5), 1.0)
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283 self.assertEqualAndEqualSign(pow_op(1.0, 1.0), 1.0)
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284 self.assertEqualAndEqualSign(pow_op(1.0, 2.0), 1.0)
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285 self.assertEqualAndEqualSign(pow_op(1.0, INF), 1.0)
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286 self.assertEqualAndEqualSign(pow_op(1.0, NAN), 1.0)
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287
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288 # x**+-0 is 1 for any x, even if x is a zero, infinity, or nan
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289 self.assertEqualAndEqualSign(pow_op(-INF, 0.0), 1.0)
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290 self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
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291 self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
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292 self.assertEqualAndEqualSign(pow_op(-0.5, 0.0), 1.0)
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293 self.assertEqualAndEqualSign(pow_op(-0.0, 0.0), 1.0)
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294 self.assertEqualAndEqualSign(pow_op(0.0, 0.0), 1.0)
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295 self.assertEqualAndEqualSign(pow_op(0.5, 0.0), 1.0)
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296 self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
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297 self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
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298 self.assertEqualAndEqualSign(pow_op(INF, 0.0), 1.0)
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299 self.assertEqualAndEqualSign(pow_op(NAN, 0.0), 1.0)
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300 self.assertEqualAndEqualSign(pow_op(-INF, -0.0), 1.0)
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301 self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
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302 self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
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303 self.assertEqualAndEqualSign(pow_op(-0.5, -0.0), 1.0)
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304 self.assertEqualAndEqualSign(pow_op(-0.0, -0.0), 1.0)
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305 self.assertEqualAndEqualSign(pow_op(0.0, -0.0), 1.0)
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306 self.assertEqualAndEqualSign(pow_op(0.5, -0.0), 1.0)
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307 self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
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308 self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
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309 self.assertEqualAndEqualSign(pow_op(INF, -0.0), 1.0)
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310 self.assertEqualAndEqualSign(pow_op(NAN, -0.0), 1.0)
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311
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312 # x**y defers to complex pow for finite negative x and
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313 # non-integral y.
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314 self.assertEqual(type(pow_op(-2.0, -0.5)), complex)
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315 self.assertEqual(type(pow_op(-2.0, 0.5)), complex)
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316 self.assertEqual(type(pow_op(-1.0, -0.5)), complex)
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317 self.assertEqual(type(pow_op(-1.0, 0.5)), complex)
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318 self.assertEqual(type(pow_op(-0.5, -0.5)), complex)
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319 self.assertEqual(type(pow_op(-0.5, 0.5)), complex)
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320
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321 # x**-INF is INF for abs(x) < 1
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322 self.assertEqualAndEqualSign(pow_op(-0.5, -INF), INF)
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323 self.assertEqualAndEqualSign(pow_op(-0.0, -INF), INF)
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324 self.assertEqualAndEqualSign(pow_op(0.0, -INF), INF)
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325 self.assertEqualAndEqualSign(pow_op(0.5, -INF), INF)
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326
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327 # x**-INF is 0 for abs(x) > 1
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328 self.assertEqualAndEqualSign(pow_op(-INF, -INF), 0.0)
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329 self.assertEqualAndEqualSign(pow_op(-2.0, -INF), 0.0)
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330 self.assertEqualAndEqualSign(pow_op(2.0, -INF), 0.0)
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331 self.assertEqualAndEqualSign(pow_op(INF, -INF), 0.0)
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332
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333 # x**INF is 0 for abs(x) < 1
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334 self.assertEqualAndEqualSign(pow_op(-0.5, INF), 0.0)
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335 self.assertEqualAndEqualSign(pow_op(-0.0, INF), 0.0)
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336 self.assertEqualAndEqualSign(pow_op(0.0, INF), 0.0)
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337 self.assertEqualAndEqualSign(pow_op(0.5, INF), 0.0)
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338
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339 # x**INF is INF for abs(x) > 1
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340 self.assertEqualAndEqualSign(pow_op(-INF, INF), INF)
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341 self.assertEqualAndEqualSign(pow_op(-2.0, INF), INF)
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342 self.assertEqualAndEqualSign(pow_op(2.0, INF), INF)
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343 self.assertEqualAndEqualSign(pow_op(INF, INF), INF)
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344
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345 # (-INF)**y is -0.0 for y a negative odd integer
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346 self.assertEqualAndEqualSign(pow_op(-INF, -1.0), -0.0)
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347
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348 # (-INF)**y is 0.0 for y negative but not an odd integer
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349 self.assertEqualAndEqualSign(pow_op(-INF, -0.5), 0.0)
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350 self.assertEqualAndEqualSign(pow_op(-INF, -2.0), 0.0)
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351
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352 # (-INF)**y is -INF for y a positive odd integer
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353 self.assertEqualAndEqualSign(pow_op(-INF, 1.0), -INF)
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354
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355 # (-INF)**y is INF for y positive but not an odd integer
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356 self.assertEqualAndEqualSign(pow_op(-INF, 0.5), INF)
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357 self.assertEqualAndEqualSign(pow_op(-INF, 2.0), INF)
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358
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359 # INF**y is INF for y positive
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360 self.assertEqualAndEqualSign(pow_op(INF, 0.5), INF)
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361 self.assertEqualAndEqualSign(pow_op(INF, 1.0), INF)
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362 self.assertEqualAndEqualSign(pow_op(INF, 2.0), INF)
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363
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364 # INF**y is 0.0 for y negative
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365 self.assertEqualAndEqualSign(pow_op(INF, -2.0), 0.0)
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366 self.assertEqualAndEqualSign(pow_op(INF, -1.0), 0.0)
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367 self.assertEqualAndEqualSign(pow_op(INF, -0.5), 0.0)
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368
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369 # basic checks not covered by the special cases above
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370 self.assertEqualAndEqualSign(pow_op(-2.0, -2.0), 0.25)
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371 self.assertEqualAndEqualSign(pow_op(-2.0, -1.0), -0.5)
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372 self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
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373 self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
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374 self.assertEqualAndEqualSign(pow_op(-2.0, 1.0), -2.0)
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375 self.assertEqualAndEqualSign(pow_op(-2.0, 2.0), 4.0)
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376 self.assertEqualAndEqualSign(pow_op(-1.0, -2.0), 1.0)
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377 self.assertEqualAndEqualSign(pow_op(-1.0, -1.0), -1.0)
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378 self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
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379 self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
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380 self.assertEqualAndEqualSign(pow_op(-1.0, 1.0), -1.0)
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381 self.assertEqualAndEqualSign(pow_op(-1.0, 2.0), 1.0)
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382 self.assertEqualAndEqualSign(pow_op(2.0, -2.0), 0.25)
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383 self.assertEqualAndEqualSign(pow_op(2.0, -1.0), 0.5)
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384 self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
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385 self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
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386 self.assertEqualAndEqualSign(pow_op(2.0, 1.0), 2.0)
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387 self.assertEqualAndEqualSign(pow_op(2.0, 2.0), 4.0)
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388
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389 # 1 ** large and -1 ** large; some libms apparently
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390 # have problems with these
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391 self.assertEqualAndEqualSign(pow_op(1.0, -1e100), 1.0)
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392 self.assertEqualAndEqualSign(pow_op(1.0, 1e100), 1.0)
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393 self.assertEqualAndEqualSign(pow_op(-1.0, -1e100), 1.0)
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394 self.assertEqualAndEqualSign(pow_op(-1.0, 1e100), 1.0)
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395
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396 # check sign for results that underflow to 0
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397 self.assertEqualAndEqualSign(pow_op(-2.0, -2000.0), 0.0)
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398 self.assertEqual(type(pow_op(-2.0, -2000.5)), complex)
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399 self.assertEqualAndEqualSign(pow_op(-2.0, -2001.0), -0.0)
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400 self.assertEqualAndEqualSign(pow_op(2.0, -2000.0), 0.0)
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401 self.assertEqualAndEqualSign(pow_op(2.0, -2000.5), 0.0)
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402 self.assertEqualAndEqualSign(pow_op(2.0, -2001.0), 0.0)
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403 self.assertEqualAndEqualSign(pow_op(-0.5, 2000.0), 0.0)
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404 self.assertEqual(type(pow_op(-0.5, 2000.5)), complex)
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405 self.assertEqualAndEqualSign(pow_op(-0.5, 2001.0), -0.0)
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406 self.assertEqualAndEqualSign(pow_op(0.5, 2000.0), 0.0)
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407 self.assertEqualAndEqualSign(pow_op(0.5, 2000.5), 0.0)
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408 self.assertEqualAndEqualSign(pow_op(0.5, 2001.0), 0.0)
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409
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410 # check we don't raise an exception for subnormal results,
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411 # and validate signs. Tests currently disabled, since
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412 # they fail on systems where a subnormal result from pow
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413 # is flushed to zero (e.g. Debian/ia64.)
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414 #self.assertTrue(0.0 < pow_op(0.5, 1048) < 1e-315)
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415 #self.assertTrue(0.0 < pow_op(-0.5, 1048) < 1e-315)
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416 #self.assertTrue(0.0 < pow_op(0.5, 1047) < 1e-315)
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417 #self.assertTrue(0.0 > pow_op(-0.5, 1047) > -1e-315)
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418 #self.assertTrue(0.0 < pow_op(2.0, -1048) < 1e-315)
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419 #self.assertTrue(0.0 < pow_op(-2.0, -1048) < 1e-315)
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420 #self.assertTrue(0.0 < pow_op(2.0, -1047) < 1e-315)
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421 #self.assertTrue(0.0 > pow_op(-2.0, -1047) > -1e-315)
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422
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423
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424 @requires_setformat
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425 class FormatFunctionsTestCase(unittest.TestCase):
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426
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427 def setUp(self):
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428 self.save_formats = {'double':float.__getformat__('double'),
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429 'float':float.__getformat__('float')}
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430
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431 def tearDown(self):
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432 float.__setformat__('double', self.save_formats['double'])
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433 float.__setformat__('float', self.save_formats['float'])
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434
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435 def test_getformat(self):
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436 self.assertIn(float.__getformat__('double'),
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437 ['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
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438 self.assertIn(float.__getformat__('float'),
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439 ['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
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440 self.assertRaises(ValueError, float.__getformat__, 'chicken')
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441 self.assertRaises(TypeError, float.__getformat__, 1)
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442
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443 def test_setformat(self):
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444 for t in 'double', 'float':
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445 float.__setformat__(t, 'unknown')
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446 if self.save_formats[t] == 'IEEE, big-endian':
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447 self.assertRaises(ValueError, float.__setformat__,
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448 t, 'IEEE, little-endian')
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449 elif self.save_formats[t] == 'IEEE, little-endian':
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450 self.assertRaises(ValueError, float.__setformat__,
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451 t, 'IEEE, big-endian')
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parents:
diff changeset
452 else:
1dd8a0d64432 This is my patch:
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parents:
diff changeset
453 self.assertRaises(ValueError, float.__setformat__,
1dd8a0d64432 This is my patch:
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diff changeset
454 t, 'IEEE, big-endian')
1dd8a0d64432 This is my patch:
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455 self.assertRaises(ValueError, float.__setformat__,
1dd8a0d64432 This is my patch:
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456 t, 'IEEE, little-endian')
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457 self.assertRaises(ValueError, float.__setformat__,
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
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458 t, 'chicken')
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diff changeset
459 self.assertRaises(ValueError, float.__setformat__,
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parents:
diff changeset
460 'chicken', 'unknown')
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461
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462 BE_DOUBLE_INF = b'\x7f\xf0\x00\x00\x00\x00\x00\x00'
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parents: 43777
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463 LE_DOUBLE_INF = bytes(reversed(BE_DOUBLE_INF))
41725
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parents: 35014
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464 BE_DOUBLE_NAN = b'\x7f\xf8\x00\x00\x00\x00\x00\x00'
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parents: 43777
diff changeset
465 LE_DOUBLE_NAN = bytes(reversed(BE_DOUBLE_NAN))
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parents:
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466
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Guido van Rossum <guido@python.org>
parents: 35014
diff changeset
467 BE_FLOAT_INF = b'\x7f\x80\x00\x00'
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parents: 43777
diff changeset
468 LE_FLOAT_INF = bytes(reversed(BE_FLOAT_INF))
41725
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parents: 35014
diff changeset
469 BE_FLOAT_NAN = b'\x7f\xc0\x00\x00'
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Guido van Rossum <guido@python.org>
parents: 43777
diff changeset
470 LE_FLOAT_NAN = bytes(reversed(BE_FLOAT_NAN))
34972
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parents:
diff changeset
471
1dd8a0d64432 This is my patch:
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parents:
diff changeset
472 # on non-IEEE platforms, attempting to unpack a bit pattern
1dd8a0d64432 This is my patch:
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parents:
diff changeset
473 # representing an infinity or a NaN should raise an exception.
1dd8a0d64432 This is my patch:
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474
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475 @requires_setformat
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diff changeset
476 class UnknownFormatTestCase(unittest.TestCase):
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diff changeset
477 def setUp(self):
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diff changeset
478 self.save_formats = {'double':float.__getformat__('double'),
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diff changeset
479 'float':float.__getformat__('float')}
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diff changeset
480 float.__setformat__('double', 'unknown')
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481 float.__setformat__('float', 'unknown')
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275843630522 Whitespace normalization.
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482
34972
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483 def tearDown(self):
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484 float.__setformat__('double', self.save_formats['double'])
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parents:
diff changeset
485 float.__setformat__('float', self.save_formats['float'])
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parents:
diff changeset
486
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diff changeset
487 def test_double_specials_dont_unpack(self):
1dd8a0d64432 This is my patch:
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diff changeset
488 for fmt, data in [('>d', BE_DOUBLE_INF),
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diff changeset
489 ('>d', BE_DOUBLE_NAN),
1dd8a0d64432 This is my patch:
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parents:
diff changeset
490 ('<d', LE_DOUBLE_INF),
1dd8a0d64432 This is my patch:
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491 ('<d', LE_DOUBLE_NAN)]:
1dd8a0d64432 This is my patch:
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diff changeset
492 self.assertRaises(ValueError, struct.unpack, fmt, data)
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
493
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parents:
diff changeset
494 def test_float_specials_dont_unpack(self):
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parents:
diff changeset
495 for fmt, data in [('>f', BE_FLOAT_INF),
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
496 ('>f', BE_FLOAT_NAN),
1dd8a0d64432 This is my patch:
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parents:
diff changeset
497 ('<f', LE_FLOAT_INF),
1dd8a0d64432 This is my patch:
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parents:
diff changeset
498 ('<f', LE_FLOAT_NAN)]:
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parents:
diff changeset
499 self.assertRaises(ValueError, struct.unpack, fmt, data)
1dd8a0d64432 This is my patch:
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parents:
diff changeset
500
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
501
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parents:
diff changeset
502 # on an IEEE platform, all we guarantee is that bit patterns
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parents:
diff changeset
503 # representing infinities or NaNs do not raise an exception; all else
1dd8a0d64432 This is my patch:
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parents:
diff changeset
504 # is accident (today).
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505 # let's also try to guarantee that -0.0 and 0.0 don't get confused.
34972
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diff changeset
506
1dd8a0d64432 This is my patch:
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parents:
diff changeset
507 class IEEEFormatTestCase(unittest.TestCase):
1dd8a0d64432 This is my patch:
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diff changeset
508
66709
f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests.
Eric Smith <eric@trueblade.com>
parents: 66698
diff changeset
509 @support.requires_IEEE_754
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510 def test_double_specials_do_unpack(self):
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diff changeset
511 for fmt, data in [('>d', BE_DOUBLE_INF),
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512 ('>d', BE_DOUBLE_NAN),
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
513 ('<d', LE_DOUBLE_INF),
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parents: 62414
diff changeset
514 ('<d', LE_DOUBLE_NAN)]:
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
515 struct.unpack(fmt, data)
34972
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parents:
diff changeset
516
66709
f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests.
Eric Smith <eric@trueblade.com>
parents: 66698
diff changeset
517 @support.requires_IEEE_754
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diff changeset
518 def test_float_specials_do_unpack(self):
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
519 for fmt, data in [('>f', BE_FLOAT_INF),
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Benjamin Peterson <benjamin@python.org>
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520 ('>f', BE_FLOAT_NAN),
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
521 ('<f', LE_FLOAT_INF),
f271e1d0e9c4 Merged revisions 82461 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 62414
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522 ('<f', LE_FLOAT_NAN)]:
f271e1d0e9c4 Merged revisions 82461 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
523 struct.unpack(fmt, data)
42775
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524
42817
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525 class FormatTestCase(unittest.TestCase):
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526
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Eric Smith <eric@trueblade.com>
parents: 42817
diff changeset
527 def test_format(self):
42817
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
528 # these should be rewritten to use both format(x, spec) and
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
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parents: 42775
diff changeset
529 # x.__format__(spec)
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parents: 42775
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530
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parents: 42775
diff changeset
531 self.assertEqual(format(0.0, 'f'), '0.000000')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
532
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
533 # the default is 'g', except for empty format spec
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
534 self.assertEqual(format(0.0, ''), '0.0')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
535 self.assertEqual(format(0.01, ''), '0.01')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
536 self.assertEqual(format(0.01, 'g'), '0.01')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
537
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
538 # 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
539 # (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
540 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
541 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
542 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
543 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
544 self.assertEqual(format(x, '2'), str(x))
42817
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
545
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
546 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
547
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
548 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
549
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
550 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
551 self.assertEqual(format(-1.0, ' f'), '-1.000000')
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
552 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
553 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
554
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
555 # % formatting
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
556 self.assertEqual(format(-1.0, '%'), '-100.000000%')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
557
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
558 # conversion to string should fail
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
559 self.assertRaises(ValueError, format, 3.0, "s")
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
560
45023
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
561 # other format specifiers shouldn't work on floats,
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
562 # in particular int specifiers
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
563 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
564 [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
565 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
566 self.assertRaises(ValueError, format, 0.0, format_spec)
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
567 self.assertRaises(ValueError, format, 1.0, 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
568 self.assertRaises(ValueError, format, -1.0, format_spec)
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
569 self.assertRaises(ValueError, format, 1e100, format_spec)
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
570 self.assertRaises(ValueError, format, -1e100, format_spec)
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Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
571 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
572 self.assertRaises(ValueError, format, -1e-100, format_spec)
34972
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Michael W. Hudson <mwh@python.net>
parents:
diff changeset
573
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
574 # 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
575 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
576 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
577 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
578 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
579
66709
f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests.
Eric Smith <eric@trueblade.com>
parents: 66698
diff changeset
580 @support.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
581 def test_format_testfile(self):
65786
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
582 with open(format_testfile) as testfile:
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
583 for line in testfile:
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
584 if line.startswith('--'):
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
585 continue
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
586 line = line.strip()
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
587 if not line:
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
588 continue
53187
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
589
65786
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
590 lhs, rhs = map(str.strip, line.split('->'))
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
591 fmt, arg = lhs.split()
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
592 self.assertEqual(fmt % float(arg), rhs)
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
593 self.assertEqual(fmt % -float(arg), '-' + rhs)
53187
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
594
53603
3759839b9fa5 Issue #5864: Fix problem with empty code formatting for floats,
Mark Dickinson <dickinsm@gmail.com>
parents: 53218
diff changeset
595 def test_issue5864(self):
66340
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Ezio Melotti <ezio.melotti@gmail.com>
parents: 65786
diff changeset
596 self.assertEqual(format(123.456, '.4'), '123.5')
2beb25369289 Merged revisions 86596 via svnmerge from
Ezio Melotti <ezio.melotti@gmail.com>
parents: 65786
diff changeset
597 self.assertEqual(format(1234.56, '.4'), '1.235e+03')
2beb25369289 Merged revisions 86596 via svnmerge from
Ezio Melotti <ezio.melotti@gmail.com>
parents: 65786
diff changeset
598 self.assertEqual(format(12345.6, '.4'), '1.235e+04')
53603
3759839b9fa5 Issue #5864: Fix problem with empty code formatting for floats,
Mark Dickinson <dickinsm@gmail.com>
parents: 53218
diff changeset
599
53209
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
600 class ReprTestCase(unittest.TestCase):
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
601 def test_repr(self):
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
602 floats_file = open(os.path.join(os.path.split(__file__)[0],
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
603 'floating_points.txt'))
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
604 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
605 line = line.strip()
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
606 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
607 continue
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
608 v = eval(line)
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
609 self.assertEqual(v, eval(repr(v)))
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
610 floats_file.close()
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
611
53187
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
612 @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
613 "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
614 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
615 # 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
616 # 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
617 # 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
618 # 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
619 # digits (modulo trailing zeros) should appear in the output.
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
620 # No more repr(0.03) -> "0.029999999999999999"!
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
621
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
622 test_strings = [
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
623 # 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
624 # least one digit after that point, or an exponent.
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
625 '0.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
626 '1.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
627 '0.01',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
628 '0.02',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
629 '0.03',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
630 '0.04',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
631 '0.05',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
632 '1.23456789',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
633 '10.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
634 '100.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
635 # 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
636 '1000000000000000.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
637 '9999999999999990.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
638 '1e+16',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
639 '1e+17',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
640 # ... 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
641 '0.001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
642 '0.001001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
643 '0.00010000000000001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
644 '0.0001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
645 '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
646 '1e-05',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
647 # 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
648 # 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
649 '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
650 '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
651 '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
652 '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
653 '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
654 ]
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
655
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
656 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
657 negs = '-'+s
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
658 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
659 self.assertEqual(negs, repr(float(negs)))
63750
eafe07d40eb7 Issue #9337: Make float.__str__ identical to float.__repr__.
Mark Dickinson <dickinsm@gmail.com>
parents: 62705
diff changeset
660 # Since Python 3.2, repr and str are identical
eafe07d40eb7 Issue #9337: Make float.__str__ identical to float.__repr__.
Mark Dickinson <dickinsm@gmail.com>
parents: 62705
diff changeset
661 self.assertEqual(repr(float(s)), str(float(s)))
eafe07d40eb7 Issue #9337: Make float.__str__ identical to float.__repr__.
Mark Dickinson <dickinsm@gmail.com>
parents: 62705
diff changeset
662 self.assertEqual(repr(float(negs)), str(float(negs)))
53187
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
663
66709
f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests.
Eric Smith <eric@trueblade.com>
parents: 66698
diff changeset
664 @support.requires_IEEE_754
53218
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
665 class RoundTestCase(unittest.TestCase):
62705
f271e1d0e9c4 Merged revisions 82461 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
666
53218
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
667 def test_inf_nan(self):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
668 self.assertRaises(OverflowError, round, INF)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
669 self.assertRaises(OverflowError, round, -INF)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
670 self.assertRaises(ValueError, round, NAN)
57425
b7fbef077eae Merged revisions 76485 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 56922
diff changeset
671 self.assertRaises(TypeError, round, INF, 0.0)
b7fbef077eae Merged revisions 76485 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 56922
diff changeset
672 self.assertRaises(TypeError, round, -INF, 1.0)
b7fbef077eae Merged revisions 76485 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 56922
diff changeset
673 self.assertRaises(TypeError, round, NAN, "ceci n'est pas un integer")
b7fbef077eae Merged revisions 76485 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 56922
diff changeset
674 self.assertRaises(TypeError, round, -0.0, 1j)
53218
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
675
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
676 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
677 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
678 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
679 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
680 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
681 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
682 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
683 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
684 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
685 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
686 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
687
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
688 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
689 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
690 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
691 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
692 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
693 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
694
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
695 def test_overflow(self):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
696 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
697 self.assertRaises(OverflowError, round, -1.7e308, -308)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
698
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
699 @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
700 "applies only when using short float repr style")
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
701 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
702 # 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
703 self.assertEqual(round(562949953421312.5, 1),
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
704 562949953421312.5)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
705 self.assertEqual(round(56294995342131.5, 3),
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
706 56294995342131.5)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
707 # round-half-even
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
708 self.assertEqual(round(25.0, -1), 20.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
709 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
710 self.assertEqual(round(45.0, -1), 40.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
711 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
712 self.assertEqual(round(65.0, -1), 60.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
713 self.assertEqual(round(75.0, -1), 80.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
714 self.assertEqual(round(85.0, -1), 80.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
715 self.assertEqual(round(95.0, -1), 100.0)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
716
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
717 @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
718 "applies only when using short float repr style")
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
719 def test_matches_float_format(self):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
720 # round should give the same results as float formatting
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
721 for i in range(500):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
722 x = i/1000.
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
723 self.assertEqual(float(format(x, '.0f')), round(x, 0))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
724 self.assertEqual(float(format(x, '.1f')), round(x, 1))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
725 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>
parents: 53209
diff changeset
726 self.assertEqual(float(format(x, '.3f')), round(x, 3))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
727
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
728 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
729 x = i/1000.
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
730 self.assertEqual(float(format(x, '.0f')), round(x, 0))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
731 self.assertEqual(float(format(x, '.1f')), round(x, 1))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
732 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>
parents: 53209
diff changeset
733 self.assertEqual(float(format(x, '.3f')), round(x, 3))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
734
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
735 for i in range(500):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
736 x = random.random()
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
737 self.assertEqual(float(format(x, '.0f')), round(x, 0))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
738 self.assertEqual(float(format(x, '.1f')), round(x, 1))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
739 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>
parents: 53209
diff changeset
740 self.assertEqual(float(format(x, '.3f')), round(x, 3))
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
741
57538
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parents: 57425
diff changeset
742 def test_format_specials(self):
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parents: 57425
diff changeset
743 # Test formatting of nans and infs.
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diff changeset
744
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parents: 57425
diff changeset
745 def test(fmt, value, expected):
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parents: 57425
diff changeset
746 # Test with both % and format().
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parents: 57425
diff changeset
747 self.assertEqual(fmt % value, expected, fmt)
66444
eded691497b7 Issue #7094: Add alternate ('#') flag to __format__ methods for float, complex and Decimal. Allows greater control over when decimal points appear. Added to make transitioning from %-formatting easier. '#g' still has a problem with Decimal which I'll fix soon.
Eric Smith <eric@trueblade.com>
parents: 66310
diff changeset
748 fmt = fmt[1:] # strip off the %
eded691497b7 Issue #7094: Add alternate ('#') flag to __format__ methods for float, complex and Decimal. Allows greater control over when decimal points appear. Added to make transitioning from %-formatting easier. '#g' still has a problem with Decimal which I'll fix soon.
Eric Smith <eric@trueblade.com>
parents: 66310
diff changeset
749 self.assertEqual(format(value, fmt), expected, fmt)
57538
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diff changeset
750
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parents: 57425
diff changeset
751 for fmt in ['%e', '%f', '%g', '%.0e', '%.6f', '%.20g',
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diff changeset
752 '%#e', '%#f', '%#g', '%#.20e', '%#.15f', '%#.3g']:
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Eric Smith <eric@trueblade.com>
parents: 57425
diff changeset
753 pfmt = '%+' + fmt[1:]
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parents: 57425
diff changeset
754 sfmt = '% ' + fmt[1:]
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parents: 57425
diff changeset
755 test(fmt, INF, 'inf')
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parents: 57425
diff changeset
756 test(fmt, -INF, '-inf')
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parents: 57425
diff changeset
757 test(fmt, NAN, 'nan')
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parents: 57425
diff changeset
758 test(fmt, -NAN, 'nan')
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parents: 57425
diff changeset
759 # When asking for a sign, it's always provided. nans are
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parents: 57425
diff changeset
760 # always positive.
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parents: 57425
diff changeset
761 test(pfmt, INF, '+inf')
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parents: 57425
diff changeset
762 test(pfmt, -INF, '-inf')
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parents: 57425
diff changeset
763 test(pfmt, NAN, '+nan')
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Eric Smith <eric@trueblade.com>
parents: 57425
diff changeset
764 test(pfmt, -NAN, '+nan')
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parents: 57425
diff changeset
765 # When using ' ' for a sign code, only infs can be negative.
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Eric Smith <eric@trueblade.com>
parents: 57425
diff changeset
766 # Others have a space.
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parents: 57425
diff changeset
767 test(sfmt, INF, ' inf')
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Eric Smith <eric@trueblade.com>
parents: 57425
diff changeset
768 test(sfmt, -INF, '-inf')
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Eric Smith <eric@trueblade.com>
parents: 57425
diff changeset
769 test(sfmt, NAN, ' nan')
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parents: 57425
diff changeset
770 test(sfmt, -NAN, ' nan')
53218
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Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
771
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
772
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parents: 44268
diff changeset
773 # Beginning with Python 2.6 float has cross platform compatible
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parents: 48498
diff changeset
774 # ways to create and represent inf and nan
44349
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diff changeset
775 class InfNanTest(unittest.TestCase):
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diff changeset
776 def test_inf_from_str(self):
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parents: 54232
diff changeset
777 self.assertTrue(isinf(float("inf")))
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parents: 54232
diff changeset
778 self.assertTrue(isinf(float("+inf")))
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parents: 54232
diff changeset
779 self.assertTrue(isinf(float("-inf")))
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parents: 54232
diff changeset
780 self.assertTrue(isinf(float("infinity")))
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parents: 54232
diff changeset
781 self.assertTrue(isinf(float("+infinity")))
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parents: 54232
diff changeset
782 self.assertTrue(isinf(float("-infinity")))
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diff changeset
783
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parents: 44268
diff changeset
784 self.assertEqual(repr(float("inf")), "inf")
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parents: 44268
diff changeset
785 self.assertEqual(repr(float("+inf")), "inf")
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parents: 44268
diff changeset
786 self.assertEqual(repr(float("-inf")), "-inf")
48499
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diff changeset
787 self.assertEqual(repr(float("infinity")), "inf")
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parents: 48498
diff changeset
788 self.assertEqual(repr(float("+infinity")), "inf")
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parents: 48498
diff changeset
789 self.assertEqual(repr(float("-infinity")), "-inf")
44349
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790
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parents: 44268
diff changeset
791 self.assertEqual(repr(float("INF")), "inf")
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diff changeset
792 self.assertEqual(repr(float("+Inf")), "inf")
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parents: 44268
diff changeset
793 self.assertEqual(repr(float("-iNF")), "-inf")
48499
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parents: 48498
diff changeset
794 self.assertEqual(repr(float("Infinity")), "inf")
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parents: 48498
diff changeset
795 self.assertEqual(repr(float("+iNfInItY")), "inf")
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diff changeset
796 self.assertEqual(repr(float("-INFINITY")), "-inf")
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797
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diff changeset
798 self.assertEqual(str(float("inf")), "inf")
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diff changeset
799 self.assertEqual(str(float("+inf")), "inf")
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diff changeset
800 self.assertEqual(str(float("-inf")), "-inf")
48499
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parents: 48498
diff changeset
801 self.assertEqual(str(float("infinity")), "inf")
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parents: 48498
diff changeset
802 self.assertEqual(str(float("+infinity")), "inf")
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diff changeset
803 self.assertEqual(str(float("-infinity")), "-inf")
44349
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804
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parents: 44268
diff changeset
805 self.assertRaises(ValueError, float, "info")
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diff changeset
806 self.assertRaises(ValueError, float, "+info")
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diff changeset
807 self.assertRaises(ValueError, float, "-info")
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diff changeset
808 self.assertRaises(ValueError, float, "in")
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diff changeset
809 self.assertRaises(ValueError, float, "+in")
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diff changeset
810 self.assertRaises(ValueError, float, "-in")
48499
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parents: 48498
diff changeset
811 self.assertRaises(ValueError, float, "infinit")
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diff changeset
812 self.assertRaises(ValueError, float, "+Infin")
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diff changeset
813 self.assertRaises(ValueError, float, "-INFI")
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814 self.assertRaises(ValueError, float, "infinitys")
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815
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816 self.assertRaises(ValueError, float, "++Inf")
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817 self.assertRaises(ValueError, float, "-+inf")
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818 self.assertRaises(ValueError, float, "+-infinity")
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819 self.assertRaises(ValueError, float, "--Infinity")
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820
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821 def test_inf_as_str(self):
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822 self.assertEqual(repr(1e300 * 1e300), "inf")
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823 self.assertEqual(repr(-1e300 * 1e300), "-inf")
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824
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825 self.assertEqual(str(1e300 * 1e300), "inf")
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826 self.assertEqual(str(-1e300 * 1e300), "-inf")
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827
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828 def test_nan_from_str(self):
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829 self.assertTrue(isnan(float("nan")))
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830 self.assertTrue(isnan(float("+nan")))
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831 self.assertTrue(isnan(float("-nan")))
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832
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833 self.assertEqual(repr(float("nan")), "nan")
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834 self.assertEqual(repr(float("+nan")), "nan")
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835 self.assertEqual(repr(float("-nan")), "nan")
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836
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837 self.assertEqual(repr(float("NAN")), "nan")
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838 self.assertEqual(repr(float("+NAn")), "nan")
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839 self.assertEqual(repr(float("-NaN")), "nan")
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840
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841 self.assertEqual(str(float("nan")), "nan")
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842 self.assertEqual(str(float("+nan")), "nan")
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843 self.assertEqual(str(float("-nan")), "nan")
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844
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845 self.assertRaises(ValueError, float, "nana")
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846 self.assertRaises(ValueError, float, "+nana")
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847 self.assertRaises(ValueError, float, "-nana")
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848 self.assertRaises(ValueError, float, "na")
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849 self.assertRaises(ValueError, float, "+na")
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850 self.assertRaises(ValueError, float, "-na")
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851
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852 self.assertRaises(ValueError, float, "++nan")
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853 self.assertRaises(ValueError, float, "-+NAN")
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854 self.assertRaises(ValueError, float, "+-NaN")
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855 self.assertRaises(ValueError, float, "--nAn")
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856
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857 def test_nan_as_str(self):
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858 self.assertEqual(repr(1e300 * 1e300 * 0), "nan")
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859 self.assertEqual(repr(-1e300 * 1e300 * 0), "nan")
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860
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861 self.assertEqual(str(1e300 * 1e300 * 0), "nan")
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diff changeset
862 self.assertEqual(str(-1e300 * 1e300 * 0), "nan")
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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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863
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diff changeset
864 def test_inf_signs(self):
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865 self.assertEqual(copysign(1.0, float('inf')), 1.0)
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866 self.assertEqual(copysign(1.0, float('-inf')), -1.0)
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867
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diff changeset
868 @unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short',
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869 "applies only when using short float repr style")
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870 def test_nan_signs(self):
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871 # When using the dtoa.c code, the sign of float('nan') should
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872 # be predictable.
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873 self.assertEqual(copysign(1.0, float('nan')), 1.0)
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874 self.assertEqual(copysign(1.0, float('-nan')), -1.0)
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875
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876
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877 fromHex = float.fromhex
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878 toHex = float.hex
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879 class HexFloatTestCase(unittest.TestCase):
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880 MAX = fromHex('0x.fffffffffffff8p+1024') # max normal
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881 MIN = fromHex('0x1p-1022') # min normal
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882 TINY = fromHex('0x0.0000000000001p-1022') # min subnormal
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883 EPS = fromHex('0x0.0000000000001p0') # diff between 1.0 and next float up
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884
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885 def identical(self, x, y):
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886 # check that floats x and y are identical, or that both
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887 # are NaNs
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888 if isnan(x) or isnan(y):
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889 if isnan(x) == isnan(y):
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890 return
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891 elif x == y and (x != 0.0 or copysign(1.0, x) == copysign(1.0, y)):
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892 return
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893 self.fail('%r not identical to %r' % (x, y))
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894
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895 def test_ends(self):
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896 self.identical(self.MIN, ldexp(1.0, -1022))
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897 self.identical(self.TINY, ldexp(1.0, -1074))
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898 self.identical(self.EPS, ldexp(1.0, -52))
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899 self.identical(self.MAX, 2.*(ldexp(1.0, 1023) - ldexp(1.0, 970)))
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900
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901 def test_invalid_inputs(self):
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902 invalid_inputs = [
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903 'infi', # misspelt infinities and nans
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904 '-Infinit',
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905 '++inf',
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906 '-+Inf',
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907 '--nan',
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908 '+-NaN',
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909 'snan',
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910 'NaNs',
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911 'nna',
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912 'an',
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913 'nf',
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914 'nfinity',
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915 'inity',
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916 'iinity',
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917 '0xnan',
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918 '',
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919 ' ',
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920 'x1.0p0',
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921 '0xX1.0p0',
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922 '+ 0x1.0p0', # internal whitespace
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923 '- 0x1.0p0',
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924 '0 x1.0p0',
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925 '0x 1.0p0',
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926 '0x1 2.0p0',
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927 '+0x1 .0p0',
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928 '0x1. 0p0',
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929 '-0x1.0 1p0',
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930 '-0x1.0 p0',
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931 '+0x1.0p +0',
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932 '0x1.0p -0',
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diff changeset
933 '0x1.0p 0',
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diff changeset
934 '+0x1.0p+ 0',
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diff changeset
935 '-0x1.0p- 0',
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936 '++0x1.0p-0', # double signs
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diff changeset
937 '--0x1.0p0',
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diff changeset
938 '+-0x1.0p+0',
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diff changeset
939 '-+0x1.0p0',
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diff changeset
940 '0x1.0p++0',
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diff changeset
941 '+0x1.0p+-0',
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diff changeset
942 '-0x1.0p-+0',
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diff changeset
943 '0x1.0p--0',
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diff changeset
944 '0x1.0.p0',
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diff changeset
945 '0x.p0', # no hex digits before or after point
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diff changeset
946 '0x1,p0', # wrong decimal point character
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diff changeset
947 '0x1pa',
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diff changeset
948 '0x1p\uff10', # fullwidth Unicode digits
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diff changeset
949 '\uff10x1p0',
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diff changeset
950 '0x\uff11p0',
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951 '0x1.\uff10p0',
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952 '0x1p0 \n 0x2p0',
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953 '0x1p0\0 0x1p0', # embedded null byte is not end of string
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954 ]
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955 for x in invalid_inputs:
48817
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956 try:
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957 result = fromHex(x)
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958 except ValueError:
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959 pass
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960 else:
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961 self.fail('Expected float.fromhex(%r) to raise ValueError; '
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962 'got %r instead' % (x, result))
48497
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963
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964
54001
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965 def test_whitespace(self):
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966 value_pairs = [
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967 ('inf', INF),
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968 ('-Infinity', -INF),
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969 ('nan', NAN),
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970 ('1.0', 1.0),
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971 ('-0x.2', -0.125),
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972 ('-0.0', -0.0)
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973 ]
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974 whitespace = [
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975 '',
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976 ' ',
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977 '\t',
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978 '\n',
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979 '\n \t',
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980 '\f',
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981 '\v',
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982 '\r'
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983 ]
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984 for inp, expected in value_pairs:
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985 for lead in whitespace:
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986 for trail in whitespace:
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987 got = fromHex(lead + inp + trail)
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988 self.identical(got, expected)
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989
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990
48497
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991 def test_from_hex(self):
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992 MIN = self.MIN;
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993 MAX = self.MAX;
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994 TINY = self.TINY;
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995 EPS = self.EPS;
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996
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997 # two spellings of infinity, with optional signs; case-insensitive
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998 self.identical(fromHex('inf'), INF)
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999 self.identical(fromHex('+Inf'), INF)
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1000 self.identical(fromHex('-INF'), -INF)
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1001 self.identical(fromHex('iNf'), INF)
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1002 self.identical(fromHex('Infinity'), INF)
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1003 self.identical(fromHex('+INFINITY'), INF)
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1004 self.identical(fromHex('-infinity'), -INF)
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diff changeset
1005 self.identical(fromHex('-iNFiNitY'), -INF)
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diff changeset
1006
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diff changeset
1007 # nans with optional sign; case insensitive
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1008 self.identical(fromHex('nan'), NAN)
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1009 self.identical(fromHex('+NaN'), NAN)
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1010 self.identical(fromHex('-NaN'), NAN)
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1011 self.identical(fromHex('-nAN'), NAN)
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diff changeset
1012
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1013 # variations in input format
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1014 self.identical(fromHex('1'), 1.0)
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1015 self.identical(fromHex('+1'), 1.0)
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diff changeset
1016 self.identical(fromHex('1.'), 1.0)
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diff changeset
1017 self.identical(fromHex('1.0'), 1.0)
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diff changeset
1018 self.identical(fromHex('1.0p0'), 1.0)
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diff changeset
1019 self.identical(fromHex('01'), 1.0)
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diff changeset
1020 self.identical(fromHex('01.'), 1.0)
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diff changeset
1021 self.identical(fromHex('0x1'), 1.0)
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diff changeset
1022 self.identical(fromHex('0x1.'), 1.0)
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1023 self.identical(fromHex('0x1.0'), 1.0)
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1024 self.identical(fromHex('+0x1.0'), 1.0)
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1025 self.identical(fromHex('0x1p0'), 1.0)
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diff changeset
1026 self.identical(fromHex('0X1p0'), 1.0)
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diff changeset
1027 self.identical(fromHex('0X1P0'), 1.0)
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diff changeset
1028 self.identical(fromHex('0x1P0'), 1.0)
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diff changeset
1029 self.identical(fromHex('0x1.p0'), 1.0)
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diff changeset
1030 self.identical(fromHex('0x1.0p0'), 1.0)
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1031 self.identical(fromHex('0x.1p4'), 1.0)
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1032 self.identical(fromHex('0x.1p04'), 1.0)
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diff changeset
1033 self.identical(fromHex('0x.1p004'), 1.0)
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diff changeset
1034 self.identical(fromHex('0x1p+0'), 1.0)
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diff changeset
1035 self.identical(fromHex('0x1P-0'), 1.0)
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1036 self.identical(fromHex('+0x1p0'), 1.0)
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1037 self.identical(fromHex('0x01p0'), 1.0)
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1038 self.identical(fromHex('0x1p00'), 1.0)
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diff changeset
1039 self.identical(fromHex(' 0x1p0 '), 1.0)
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diff changeset
1040 self.identical(fromHex('\n 0x1p0'), 1.0)
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parents: 47322
diff changeset
1041 self.identical(fromHex('0x1p0 \t'), 1.0)
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diff changeset
1042 self.identical(fromHex('0xap0'), 10.0)
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diff changeset
1043 self.identical(fromHex('0xAp0'), 10.0)
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diff changeset
1044 self.identical(fromHex('0xaP0'), 10.0)
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diff changeset
1045 self.identical(fromHex('0xAP0'), 10.0)
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diff changeset
1046 self.identical(fromHex('0xbep0'), 190.0)
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diff changeset
1047 self.identical(fromHex('0xBep0'), 190.0)
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diff changeset
1048 self.identical(fromHex('0xbEp0'), 190.0)
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1049 self.identical(fromHex('0XBE0P-4'), 190.0)
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diff changeset
1050 self.identical(fromHex('0xBEp0'), 190.0)
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diff changeset
1051 self.identical(fromHex('0xB.Ep4'), 190.0)
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diff changeset
1052 self.identical(fromHex('0x.BEp8'), 190.0)
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1053 self.identical(fromHex('0x.0BEp12'), 190.0)
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diff changeset
1054
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diff changeset
1055 # moving the point around
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diff changeset
1056 pi = fromHex('0x1.921fb54442d18p1')
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diff changeset
1057 self.identical(fromHex('0x.006487ed5110b46p11'), pi)
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diff changeset
1058 self.identical(fromHex('0x.00c90fdaa22168cp10'), pi)
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diff changeset
1059 self.identical(fromHex('0x.01921fb54442d18p9'), pi)
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diff changeset
1060 self.identical(fromHex('0x.03243f6a8885a3p8'), pi)
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diff changeset
1061 self.identical(fromHex('0x.06487ed5110b46p7'), pi)
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diff changeset
1062 self.identical(fromHex('0x.0c90fdaa22168cp6'), pi)
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diff changeset
1063 self.identical(fromHex('0x.1921fb54442d18p5'), pi)
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diff changeset
1064 self.identical(fromHex('0x.3243f6a8885a3p4'), pi)
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diff changeset
1065 self.identical(fromHex('0x.6487ed5110b46p3'), pi)
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diff changeset
1066 self.identical(fromHex('0x.c90fdaa22168cp2'), pi)
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diff changeset
1067 self.identical(fromHex('0x1.921fb54442d18p1'), pi)
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diff changeset
1068 self.identical(fromHex('0x3.243f6a8885a3p0'), pi)
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diff changeset
1069 self.identical(fromHex('0x6.487ed5110b46p-1'), pi)
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diff changeset
1070 self.identical(fromHex('0xc.90fdaa22168cp-2'), pi)
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diff changeset
1071 self.identical(fromHex('0x19.21fb54442d18p-3'), pi)
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1072 self.identical(fromHex('0x32.43f6a8885a3p-4'), pi)
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1073 self.identical(fromHex('0x64.87ed5110b46p-5'), pi)
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1074 self.identical(fromHex('0xc9.0fdaa22168cp-6'), pi)
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1075 self.identical(fromHex('0x192.1fb54442d18p-7'), pi)
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1076 self.identical(fromHex('0x324.3f6a8885a3p-8'), pi)
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1077 self.identical(fromHex('0x648.7ed5110b46p-9'), pi)
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1078 self.identical(fromHex('0xc90.fdaa22168cp-10'), pi)
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1079 self.identical(fromHex('0x1921.fb54442d18p-11'), pi)
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1080 # ...
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1081 self.identical(fromHex('0x1921fb54442d1.8p-47'), pi)
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1082 self.identical(fromHex('0x3243f6a8885a3p-48'), pi)
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1083 self.identical(fromHex('0x6487ed5110b46p-49'), pi)
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1084 self.identical(fromHex('0xc90fdaa22168cp-50'), pi)
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1085 self.identical(fromHex('0x1921fb54442d18p-51'), pi)
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1086 self.identical(fromHex('0x3243f6a8885a30p-52'), pi)
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1087 self.identical(fromHex('0x6487ed5110b460p-53'), pi)
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1088 self.identical(fromHex('0xc90fdaa22168c0p-54'), pi)
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1089 self.identical(fromHex('0x1921fb54442d180p-55'), pi)
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1090
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1091
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1092 # results that should overflow...
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1093 self.assertRaises(OverflowError, fromHex, '-0x1p1024')
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1094 self.assertRaises(OverflowError, fromHex, '0x1p+1025')
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1095 self.assertRaises(OverflowError, fromHex, '+0X1p1030')
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1096 self.assertRaises(OverflowError, fromHex, '-0x1p+1100')
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1097 self.assertRaises(OverflowError, fromHex, '0X1p123456789123456789')
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1098 self.assertRaises(OverflowError, fromHex, '+0X.8p+1025')
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1099 self.assertRaises(OverflowError, fromHex, '+0x0.8p1025')
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1100 self.assertRaises(OverflowError, fromHex, '-0x0.4p1026')
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1101 self.assertRaises(OverflowError, fromHex, '0X2p+1023')
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1102 self.assertRaises(OverflowError, fromHex, '0x2.p1023')
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1103 self.assertRaises(OverflowError, fromHex, '-0x2.0p+1023')
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1104 self.assertRaises(OverflowError, fromHex, '+0X4p+1022')
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1105 self.assertRaises(OverflowError, fromHex, '0x1.ffffffffffffffp+1023')
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1106 self.assertRaises(OverflowError, fromHex, '-0X1.fffffffffffff9p1023')
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1107 self.assertRaises(OverflowError, fromHex, '0X1.fffffffffffff8p1023')
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1108 self.assertRaises(OverflowError, fromHex, '+0x3.fffffffffffffp1022')
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1109 self.assertRaises(OverflowError, fromHex, '0x3fffffffffffffp+970')
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1110 self.assertRaises(OverflowError, fromHex, '0x10000000000000000p960')
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1111 self.assertRaises(OverflowError, fromHex, '-0Xffffffffffffffffp960')
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1112
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1113 # ...and those that round to +-max float
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1114 self.identical(fromHex('+0x1.fffffffffffffp+1023'), MAX)
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1115 self.identical(fromHex('-0X1.fffffffffffff7p1023'), -MAX)
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1116 self.identical(fromHex('0X1.fffffffffffff7fffffffffffffp1023'), MAX)
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1117
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1118 # zeros
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1119 self.identical(fromHex('0x0p0'), 0.0)
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1120 self.identical(fromHex('0x0p1000'), 0.0)
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1121 self.identical(fromHex('-0x0p1023'), -0.0)
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1122 self.identical(fromHex('0X0p1024'), 0.0)
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1123 self.identical(fromHex('-0x0p1025'), -0.0)
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1124 self.identical(fromHex('0X0p2000'), 0.0)
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1125 self.identical(fromHex('0x0p123456789123456789'), 0.0)
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1126 self.identical(fromHex('-0X0p-0'), -0.0)
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1127 self.identical(fromHex('-0X0p-1000'), -0.0)
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1128 self.identical(fromHex('0x0p-1023'), 0.0)
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1129 self.identical(fromHex('-0X0p-1024'), -0.0)
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1130 self.identical(fromHex('-0x0p-1025'), -0.0)
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1131 self.identical(fromHex('-0x0p-1072'), -0.0)
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1132 self.identical(fromHex('0X0p-1073'), 0.0)
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1133 self.identical(fromHex('-0x0p-1074'), -0.0)
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1134 self.identical(fromHex('0x0p-1075'), 0.0)
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1135 self.identical(fromHex('0X0p-1076'), 0.0)
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1136 self.identical(fromHex('-0X0p-2000'), -0.0)
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1137 self.identical(fromHex('-0x0p-123456789123456789'), -0.0)
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1138
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1139 # values that should underflow to 0
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1140 self.identical(fromHex('0X1p-1075'), 0.0)
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1141 self.identical(fromHex('-0X1p-1075'), -0.0)
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1142 self.identical(fromHex('-0x1p-123456789123456789'), -0.0)
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1143 self.identical(fromHex('0x1.00000000000000001p-1075'), TINY)
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1144 self.identical(fromHex('-0x1.1p-1075'), -TINY)
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1145 self.identical(fromHex('0x1.fffffffffffffffffp-1075'), TINY)
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1146
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1147 # check round-half-even is working correctly near 0 ...
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1148 self.identical(fromHex('0x1p-1076'), 0.0)
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1149 self.identical(fromHex('0X2p-1076'), 0.0)
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1150 self.identical(fromHex('0X3p-1076'), TINY)
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1151 self.identical(fromHex('0x4p-1076'), TINY)
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1152 self.identical(fromHex('0X5p-1076'), TINY)
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1153 self.identical(fromHex('0X6p-1076'), 2*TINY)
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1154 self.identical(fromHex('0x7p-1076'), 2*TINY)
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1155 self.identical(fromHex('0X8p-1076'), 2*TINY)
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1156 self.identical(fromHex('0X9p-1076'), 2*TINY)
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1157 self.identical(fromHex('0xap-1076'), 2*TINY)
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1158 self.identical(fromHex('0Xbp-1076'), 3*TINY)
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1159 self.identical(fromHex('0xcp-1076'), 3*TINY)
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1160 self.identical(fromHex('0Xdp-1076'), 3*TINY)
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1161 self.identical(fromHex('0Xep-1076'), 4*TINY)
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1162 self.identical(fromHex('0xfp-1076'), 4*TINY)
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1163 self.identical(fromHex('0x10p-1076'), 4*TINY)
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1164 self.identical(fromHex('-0x1p-1076'), -0.0)
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1165 self.identical(fromHex('-0X2p-1076'), -0.0)
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1166 self.identical(fromHex('-0x3p-1076'), -TINY)
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1167 self.identical(fromHex('-0X4p-1076'), -TINY)
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1168 self.identical(fromHex('-0x5p-1076'), -TINY)
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1169 self.identical(fromHex('-0x6p-1076'), -2*TINY)
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1170 self.identical(fromHex('-0X7p-1076'), -2*TINY)
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1171 self.identical(fromHex('-0X8p-1076'), -2*TINY)
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1172 self.identical(fromHex('-0X9p-1076'), -2*TINY)
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1173 self.identical(fromHex('-0Xap-1076'), -2*TINY)
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1174 self.identical(fromHex('-0xbp-1076'), -3*TINY)
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1175 self.identical(fromHex('-0xcp-1076'), -3*TINY)
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1176 self.identical(fromHex('-0Xdp-1076'), -3*TINY)
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1177 self.identical(fromHex('-0xep-1076'), -4*TINY)
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1178 self.identical(fromHex('-0Xfp-1076'), -4*TINY)
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diff changeset
1179 self.identical(fromHex('-0X10p-1076'), -4*TINY)
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1180
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1181 # ... and near MIN ...
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1182 self.identical(fromHex('0x0.ffffffffffffd6p-1022'), MIN-3*TINY)
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1183 self.identical(fromHex('0x0.ffffffffffffd8p-1022'), MIN-2*TINY)
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1184 self.identical(fromHex('0x0.ffffffffffffdap-1022'), MIN-2*TINY)
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diff changeset
1185 self.identical(fromHex('0x0.ffffffffffffdcp-1022'), MIN-2*TINY)
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1186 self.identical(fromHex('0x0.ffffffffffffdep-1022'), MIN-2*TINY)
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1187 self.identical(fromHex('0x0.ffffffffffffe0p-1022'), MIN-2*TINY)
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diff changeset
1188 self.identical(fromHex('0x0.ffffffffffffe2p-1022'), MIN-2*TINY)
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diff changeset
1189 self.identical(fromHex('0x0.ffffffffffffe4p-1022'), MIN-2*TINY)
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diff changeset
1190 self.identical(fromHex('0x0.ffffffffffffe6p-1022'), MIN-2*TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1191 self.identical(fromHex('0x0.ffffffffffffe8p-1022'), MIN-2*TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1192 self.identical(fromHex('0x0.ffffffffffffeap-1022'), MIN-TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1193 self.identical(fromHex('0x0.ffffffffffffecp-1022'), MIN-TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1194 self.identical(fromHex('0x0.ffffffffffffeep-1022'), MIN-TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1195 self.identical(fromHex('0x0.fffffffffffff0p-1022'), MIN-TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1196 self.identical(fromHex('0x0.fffffffffffff2p-1022'), MIN-TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1197 self.identical(fromHex('0x0.fffffffffffff4p-1022'), MIN-TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1198 self.identical(fromHex('0x0.fffffffffffff6p-1022'), MIN-TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1199 self.identical(fromHex('0x0.fffffffffffff8p-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1200 self.identical(fromHex('0x0.fffffffffffffap-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1201 self.identical(fromHex('0x0.fffffffffffffcp-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1202 self.identical(fromHex('0x0.fffffffffffffep-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1203 self.identical(fromHex('0x1.00000000000000p-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1204 self.identical(fromHex('0x1.00000000000002p-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1205 self.identical(fromHex('0x1.00000000000004p-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1206 self.identical(fromHex('0x1.00000000000006p-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1207 self.identical(fromHex('0x1.00000000000008p-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1208 self.identical(fromHex('0x1.0000000000000ap-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1209 self.identical(fromHex('0x1.0000000000000cp-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1210 self.identical(fromHex('0x1.0000000000000ep-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1211 self.identical(fromHex('0x1.00000000000010p-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1212 self.identical(fromHex('0x1.00000000000012p-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1213 self.identical(fromHex('0x1.00000000000014p-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1214 self.identical(fromHex('0x1.00000000000016p-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1215 self.identical(fromHex('0x1.00000000000018p-1022'), MIN+2*TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1216
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1217 # ... and near 1.0.
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1218 self.identical(fromHex('0x0.fffffffffffff0p0'), 1.0-EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1219 self.identical(fromHex('0x0.fffffffffffff1p0'), 1.0-EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1220 self.identical(fromHex('0X0.fffffffffffff2p0'), 1.0-EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1221 self.identical(fromHex('0x0.fffffffffffff3p0'), 1.0-EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1222 self.identical(fromHex('0X0.fffffffffffff4p0'), 1.0-EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1223 self.identical(fromHex('0X0.fffffffffffff5p0'), 1.0-EPS/2)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1224 self.identical(fromHex('0X0.fffffffffffff6p0'), 1.0-EPS/2)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1225 self.identical(fromHex('0x0.fffffffffffff7p0'), 1.0-EPS/2)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1226 self.identical(fromHex('0x0.fffffffffffff8p0'), 1.0-EPS/2)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1227 self.identical(fromHex('0X0.fffffffffffff9p0'), 1.0-EPS/2)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1228 self.identical(fromHex('0X0.fffffffffffffap0'), 1.0-EPS/2)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1229 self.identical(fromHex('0x0.fffffffffffffbp0'), 1.0-EPS/2)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1230 self.identical(fromHex('0X0.fffffffffffffcp0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1231 self.identical(fromHex('0x0.fffffffffffffdp0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1232 self.identical(fromHex('0X0.fffffffffffffep0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1233 self.identical(fromHex('0x0.ffffffffffffffp0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1234 self.identical(fromHex('0X1.00000000000000p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1235 self.identical(fromHex('0X1.00000000000001p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1236 self.identical(fromHex('0x1.00000000000002p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1237 self.identical(fromHex('0X1.00000000000003p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1238 self.identical(fromHex('0x1.00000000000004p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1239 self.identical(fromHex('0X1.00000000000005p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1240 self.identical(fromHex('0X1.00000000000006p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1241 self.identical(fromHex('0X1.00000000000007p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1242 self.identical(fromHex('0x1.00000000000007ffffffffffffffffffffp0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1243 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1244 self.identical(fromHex('0x1.00000000000008p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1245 self.identical(fromHex('0x1.00000000000008000000000000000001p0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1246 1+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1247 self.identical(fromHex('0X1.00000000000009p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1248 self.identical(fromHex('0x1.0000000000000ap0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1249 self.identical(fromHex('0x1.0000000000000bp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1250 self.identical(fromHex('0X1.0000000000000cp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1251 self.identical(fromHex('0x1.0000000000000dp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1252 self.identical(fromHex('0x1.0000000000000ep0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1253 self.identical(fromHex('0X1.0000000000000fp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1254 self.identical(fromHex('0x1.00000000000010p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1255 self.identical(fromHex('0X1.00000000000011p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1256 self.identical(fromHex('0x1.00000000000012p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1257 self.identical(fromHex('0X1.00000000000013p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1258 self.identical(fromHex('0X1.00000000000014p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1259 self.identical(fromHex('0x1.00000000000015p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1260 self.identical(fromHex('0x1.00000000000016p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1261 self.identical(fromHex('0X1.00000000000017p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1262 self.identical(fromHex('0x1.00000000000017ffffffffffffffffffffp0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1263 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1264 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
1265 self.identical(fromHex('0X1.00000000000018000000000000000001p0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1266 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1267 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
1268 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
1269 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
1270 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
1271 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
1272 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
1273 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
1274 self.identical(fromHex('0x1.00000000000020p0'), 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1275
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1276 def test_roundtrip(self):
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1277 def roundtrip(x):
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1278 return fromHex(toHex(x))
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1279
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1280 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
1281 self.identical(x, roundtrip(x))
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1282 self.identical(-x, roundtrip(-x))
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1283
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1284 # fromHex(toHex(x)) should exactly recover x, for any non-NaN float x.
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1285 import random
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1286 for i in range(10000):
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1287 e = random.randrange(-1200, 1200)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1288 m = random.random()
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1289 s = random.choice([1.0, -1.0])
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1290 try:
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1291 x = s*ldexp(m, e)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1292 except OverflowError:
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1293 pass
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1294 else:
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1295 self.identical(x, fromHex(toHex(x)))
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1296
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45023
diff changeset
1297
34972
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1298 def test_main():
47201
9c930a32cebb #2621 rename test.test_support to test.support
Benjamin Peterson <benjamin@python.org>
parents: 46664
diff changeset
1299 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
1300 GeneralFloatCases,
34972
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1301 FormatFunctionsTestCase,
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1302 UnknownFormatTestCase,
42817
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
1303 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
1304 FormatTestCase,
44349
4dc01402d78a Merged revisions 59541-59561 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44268
diff changeset
1305 ReprTestCase,
53218
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
1306 RoundTestCase,
44349
4dc01402d78a Merged revisions 59541-59561 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44268
diff changeset
1307 InfNanTest,
48497
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1308 HexFloatTestCase,
44268
7ae604b3533b Merged revisions 59450-59464 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44260
diff changeset
1309 )
34972
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1310
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1311 if __name__ == '__main__':
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1312 test_main()