annotate Lib/test/test_float.py @ 70626:aa07c1237f4e

(Merge 3.2) Issue #12016: Reindent decoders of HK and JP codecs
author Victor Stinner <victor.stinner@haypocalc.com>
date Fri, 03 Jun 2011 23:34:32 +0200
parents db73857669fb
children d9ad109dd82e
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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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10
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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 # Lone surrogate
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45 self.assertRaises(UnicodeEncodeError, float, '\uD8F0')
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46 # check that we don't accept alternate exponent markers
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47 self.assertRaises(ValueError, float, "-1.7d29")
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48 self.assertRaises(ValueError, float, "3D-14")
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49 self.assertEqual(float(" \u0663.\u0661\u0664 "), 3.14)
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50 self.assertEqual(float("\N{EM SPACE}3.14\N{EN SPACE}"), 3.14)
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51 # extra long strings should not be a problem
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52 float(b'.' + b'1'*1000)
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53 float('.' + '1'*1000)
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54
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55 def test_error_message(self):
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56 testlist = ('\xbd', '123\xbd', ' 123 456 ')
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57 for s in testlist:
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58 try:
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59 float(s)
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60 except ValueError as e:
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61 self.assertIn(s.strip(), e.args[0])
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62 else:
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63 self.fail("Expected int(%r) to raise a ValueError", s)
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64
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65
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66 @support.run_with_locale('LC_NUMERIC', 'fr_FR', 'de_DE')
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67 def test_float_with_comma(self):
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68 # set locale to something that doesn't use '.' for the decimal point
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69 # float must not accept the locale specific decimal point but
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70 # it still has to accept the normal python syntax
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71 import locale
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72 if not locale.localeconv()['decimal_point'] == ',':
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diff changeset
73 return
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74
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75 self.assertEqual(float(" 3.14 "), 3.14)
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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(".14 "), .14)
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79 self.assertEqual(float("3. "), 3.0)
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80 self.assertEqual(float("3.e3 "), 3000.0)
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81 self.assertEqual(float("3.2e3 "), 3200.0)
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82 self.assertEqual(float("2.5e-1 "), 0.25)
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83 self.assertEqual(float("5e-1"), 0.5)
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84 self.assertRaises(ValueError, float, " 3,14 ")
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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, " 0x3.1 ")
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88 self.assertRaises(ValueError, float, " -0x3.p-1 ")
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89 self.assertRaises(ValueError, float, " +0x3.p-1 ")
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90 self.assertEqual(float(" 25.e-1 "), 2.5)
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91 self.assertAlmostEqual(float(" .25e-1 "), .025)
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92
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93 def test_floatconversion(self):
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94 # Make sure that calls to __float__() work properly
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95 class Foo0:
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96 def __float__(self):
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97 return 42.
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98
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99 class Foo1(object):
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100 def __float__(self):
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101 return 42.
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102
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103 class Foo2(float):
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104 def __float__(self):
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105 return 42.
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106
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107 class Foo3(float):
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108 def __new__(cls, value=0.):
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109 return float.__new__(cls, 2*value)
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110
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111 def __float__(self):
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112 return self
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113
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114 class Foo4(float):
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115 def __float__(self):
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116 return 42
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117
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118 # Issue 5759: __float__ not called on str subclasses (though it is on
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119 # unicode subclasses).
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120 class FooStr(str):
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121 def __float__(self):
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122 return float(str(self)) + 1
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123
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124 self.assertAlmostEqual(float(Foo0()), 42.)
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125 self.assertAlmostEqual(float(Foo1()), 42.)
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126 self.assertAlmostEqual(float(Foo2()), 42.)
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127 self.assertAlmostEqual(float(Foo3(21)), 42.)
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128 self.assertRaises(TypeError, float, Foo4(42))
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129 self.assertAlmostEqual(float(FooStr('8')), 9.)
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130
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131 def test_floatasratio(self):
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132 for f, ratio in [
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133 (0.875, (7, 8)),
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134 (-0.875, (-7, 8)),
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135 (0.0, (0, 1)),
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136 (11.5, (23, 2)),
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137 ]:
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138 self.assertEqual(f.as_integer_ratio(), ratio)
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139
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140 for i in range(10000):
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141 f = random.random()
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142 f *= 10 ** random.randint(-100, 100)
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143 n, d = f.as_integer_ratio()
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144 self.assertEqual(float(n).__truediv__(d), f)
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145
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146 R = fractions.Fraction
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147 self.assertEqual(R(0, 1),
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148 R(*float(0.0).as_integer_ratio()))
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149 self.assertEqual(R(5, 2),
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150 R(*float(2.5).as_integer_ratio()))
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151 self.assertEqual(R(1, 2),
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152 R(*float(0.5).as_integer_ratio()))
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153 self.assertEqual(R(4728779608739021, 2251799813685248),
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154 R(*float(2.1).as_integer_ratio()))
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155 self.assertEqual(R(-4728779608739021, 2251799813685248),
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156 R(*float(-2.1).as_integer_ratio()))
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157 self.assertEqual(R(-2100, 1),
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158 R(*float(-2100.0).as_integer_ratio()))
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159
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160 self.assertRaises(OverflowError, float('inf').as_integer_ratio)
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161 self.assertRaises(OverflowError, float('-inf').as_integer_ratio)
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162 self.assertRaises(ValueError, float('nan').as_integer_ratio)
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163
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164 def test_float_containment(self):
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165 floats = (INF, -INF, 0.0, 1.0, NAN)
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166 for f in floats:
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167 self.assertIn(f, [f])
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168 self.assertIn(f, (f,))
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169 self.assertIn(f, {f})
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170 self.assertIn(f, {f: None})
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171 self.assertEqual([f].count(f), 1, "[].count('%r') != 1" % f)
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172 self.assertIn(f, floats)
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173
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174 for f in floats:
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175 # nonidentical containers, same type, same contents
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176 self.assertTrue([f] == [f], "[%r] != [%r]" % (f, f))
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177 self.assertTrue((f,) == (f,), "(%r,) != (%r,)" % (f, f))
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178 self.assertTrue({f} == {f}, "{%r} != {%r}" % (f, f))
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179 self.assertTrue({f : None} == {f: None}, "{%r : None} != "
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180 "{%r : None}" % (f, f))
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181
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182 # identical containers
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183 l, t, s, d = [f], (f,), {f}, {f: None}
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184 self.assertTrue(l == l, "[%r] not equal to itself" % f)
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185 self.assertTrue(t == t, "(%r,) not equal to itself" % f)
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186 self.assertTrue(s == s, "{%r} not equal to itself" % f)
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187 self.assertTrue(d == d, "{%r : None} not equal to itself" % f)
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188
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189 def assertEqualAndEqualSign(self, a, b):
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190 # fail unless a == b and a and b have the same sign bit;
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191 # the only difference from assertEqual is that this test
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192 # distinguishes -0.0 and 0.0.
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193 self.assertEqual((a, copysign(1.0, a)), (b, copysign(1.0, b)))
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194
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195 @support.requires_IEEE_754
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196 def test_float_mod(self):
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197 # Check behaviour of % operator for IEEE 754 special cases.
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198 # In particular, check signs of zeros.
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199 mod = operator.mod
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200
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201 self.assertEqualAndEqualSign(mod(-1.0, 1.0), 0.0)
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202 self.assertEqualAndEqualSign(mod(-1e-100, 1.0), 1.0)
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203 self.assertEqualAndEqualSign(mod(-0.0, 1.0), 0.0)
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204 self.assertEqualAndEqualSign(mod(0.0, 1.0), 0.0)
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205 self.assertEqualAndEqualSign(mod(1e-100, 1.0), 1e-100)
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206 self.assertEqualAndEqualSign(mod(1.0, 1.0), 0.0)
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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), -1e-100)
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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), -1.0)
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213 self.assertEqualAndEqualSign(mod(1.0, -1.0), -0.0)
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214
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215 @support.requires_IEEE_754
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216 def test_float_pow(self):
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217 # test builtin pow and ** operator for IEEE 754 special cases.
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218 # Special cases taken from section F.9.4.4 of the C99 specification
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219
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220 for pow_op in pow, operator.pow:
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221 # x**NAN is NAN for any x except 1
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222 self.assertTrue(isnan(pow_op(-INF, NAN)))
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223 self.assertTrue(isnan(pow_op(-2.0, NAN)))
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224 self.assertTrue(isnan(pow_op(-1.0, NAN)))
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225 self.assertTrue(isnan(pow_op(-0.5, NAN)))
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226 self.assertTrue(isnan(pow_op(-0.0, NAN)))
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227 self.assertTrue(isnan(pow_op(0.0, NAN)))
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228 self.assertTrue(isnan(pow_op(0.5, NAN)))
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229 self.assertTrue(isnan(pow_op(2.0, NAN)))
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230 self.assertTrue(isnan(pow_op(INF, NAN)))
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231 self.assertTrue(isnan(pow_op(NAN, NAN)))
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232
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233 # NAN**y is NAN for any y except +-0
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234 self.assertTrue(isnan(pow_op(NAN, -INF)))
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235 self.assertTrue(isnan(pow_op(NAN, -2.0)))
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236 self.assertTrue(isnan(pow_op(NAN, -1.0)))
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237 self.assertTrue(isnan(pow_op(NAN, -0.5)))
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238 self.assertTrue(isnan(pow_op(NAN, 0.5)))
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239 self.assertTrue(isnan(pow_op(NAN, 1.0)))
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240 self.assertTrue(isnan(pow_op(NAN, 2.0)))
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241 self.assertTrue(isnan(pow_op(NAN, INF)))
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242
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243 # (+-0)**y raises ZeroDivisionError for y a negative odd integer
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244 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -1.0)
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245 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -1.0)
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246
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247 # (+-0)**y raises ZeroDivisionError for y finite and negative
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248 # but not an odd integer
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249 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -2.0)
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250 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -0.5)
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251 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -2.0)
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252 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -0.5)
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253
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254 # (+-0)**y is +-0 for y a positive odd integer
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255 self.assertEqualAndEqualSign(pow_op(-0.0, 1.0), -0.0)
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256 self.assertEqualAndEqualSign(pow_op(0.0, 1.0), 0.0)
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257
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258 # (+-0)**y is 0 for y finite and positive but not an odd integer
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259 self.assertEqualAndEqualSign(pow_op(-0.0, 0.5), 0.0)
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260 self.assertEqualAndEqualSign(pow_op(-0.0, 2.0), 0.0)
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261 self.assertEqualAndEqualSign(pow_op(0.0, 0.5), 0.0)
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262 self.assertEqualAndEqualSign(pow_op(0.0, 2.0), 0.0)
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263
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264 # (-1)**+-inf is 1
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265 self.assertEqualAndEqualSign(pow_op(-1.0, -INF), 1.0)
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266 self.assertEqualAndEqualSign(pow_op(-1.0, INF), 1.0)
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267
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268 # 1**y is 1 for any y, even if y is an infinity or nan
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269 self.assertEqualAndEqualSign(pow_op(1.0, -INF), 1.0)
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270 self.assertEqualAndEqualSign(pow_op(1.0, -2.0), 1.0)
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271 self.assertEqualAndEqualSign(pow_op(1.0, -1.0), 1.0)
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272 self.assertEqualAndEqualSign(pow_op(1.0, -0.5), 1.0)
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273 self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
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274 self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
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275 self.assertEqualAndEqualSign(pow_op(1.0, 0.5), 1.0)
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276 self.assertEqualAndEqualSign(pow_op(1.0, 1.0), 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, INF), 1.0)
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279 self.assertEqualAndEqualSign(pow_op(1.0, NAN), 1.0)
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280
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281 # x**+-0 is 1 for any x, even if x is a zero, infinity, or nan
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282 self.assertEqualAndEqualSign(pow_op(-INF, 0.0), 1.0)
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283 self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
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284 self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
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285 self.assertEqualAndEqualSign(pow_op(-0.5, 0.0), 1.0)
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286 self.assertEqualAndEqualSign(pow_op(-0.0, 0.0), 1.0)
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287 self.assertEqualAndEqualSign(pow_op(0.0, 0.0), 1.0)
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288 self.assertEqualAndEqualSign(pow_op(0.5, 0.0), 1.0)
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289 self.assertEqualAndEqualSign(pow_op(1.0, 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(INF, 0.0), 1.0)
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292 self.assertEqualAndEqualSign(pow_op(NAN, 0.0), 1.0)
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293 self.assertEqualAndEqualSign(pow_op(-INF, -0.0), 1.0)
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294 self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
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295 self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
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296 self.assertEqualAndEqualSign(pow_op(-0.5, -0.0), 1.0)
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297 self.assertEqualAndEqualSign(pow_op(-0.0, -0.0), 1.0)
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298 self.assertEqualAndEqualSign(pow_op(0.0, -0.0), 1.0)
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299 self.assertEqualAndEqualSign(pow_op(0.5, -0.0), 1.0)
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300 self.assertEqualAndEqualSign(pow_op(1.0, -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(INF, -0.0), 1.0)
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303 self.assertEqualAndEqualSign(pow_op(NAN, -0.0), 1.0)
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304
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305 # x**y defers to complex pow for finite negative x and
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306 # non-integral y.
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307 self.assertEqual(type(pow_op(-2.0, -0.5)), complex)
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308 self.assertEqual(type(pow_op(-2.0, 0.5)), complex)
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309 self.assertEqual(type(pow_op(-1.0, -0.5)), complex)
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310 self.assertEqual(type(pow_op(-1.0, 0.5)), complex)
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311 self.assertEqual(type(pow_op(-0.5, -0.5)), complex)
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312 self.assertEqual(type(pow_op(-0.5, 0.5)), complex)
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313
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314 # x**-INF is INF for abs(x) < 1
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315 self.assertEqualAndEqualSign(pow_op(-0.5, -INF), INF)
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316 self.assertEqualAndEqualSign(pow_op(-0.0, -INF), INF)
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317 self.assertEqualAndEqualSign(pow_op(0.0, -INF), INF)
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318 self.assertEqualAndEqualSign(pow_op(0.5, -INF), INF)
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319
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320 # x**-INF is 0 for abs(x) > 1
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321 self.assertEqualAndEqualSign(pow_op(-INF, -INF), 0.0)
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322 self.assertEqualAndEqualSign(pow_op(-2.0, -INF), 0.0)
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323 self.assertEqualAndEqualSign(pow_op(2.0, -INF), 0.0)
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324 self.assertEqualAndEqualSign(pow_op(INF, -INF), 0.0)
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325
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326 # x**INF is 0 for abs(x) < 1
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327 self.assertEqualAndEqualSign(pow_op(-0.5, INF), 0.0)
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328 self.assertEqualAndEqualSign(pow_op(-0.0, INF), 0.0)
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329 self.assertEqualAndEqualSign(pow_op(0.0, INF), 0.0)
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330 self.assertEqualAndEqualSign(pow_op(0.5, INF), 0.0)
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331
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332 # x**INF is INF for abs(x) > 1
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333 self.assertEqualAndEqualSign(pow_op(-INF, INF), INF)
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334 self.assertEqualAndEqualSign(pow_op(-2.0, INF), INF)
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335 self.assertEqualAndEqualSign(pow_op(2.0, INF), INF)
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336 self.assertEqualAndEqualSign(pow_op(INF, INF), INF)
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337
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338 # (-INF)**y is -0.0 for y a negative odd integer
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339 self.assertEqualAndEqualSign(pow_op(-INF, -1.0), -0.0)
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340
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341 # (-INF)**y is 0.0 for y negative but not an odd integer
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342 self.assertEqualAndEqualSign(pow_op(-INF, -0.5), 0.0)
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343 self.assertEqualAndEqualSign(pow_op(-INF, -2.0), 0.0)
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344
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345 # (-INF)**y is -INF for y a positive odd integer
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346 self.assertEqualAndEqualSign(pow_op(-INF, 1.0), -INF)
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347
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348 # (-INF)**y is INF for y positive but not an odd integer
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349 self.assertEqualAndEqualSign(pow_op(-INF, 0.5), INF)
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350 self.assertEqualAndEqualSign(pow_op(-INF, 2.0), INF)
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351
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352 # INF**y is INF for y positive
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353 self.assertEqualAndEqualSign(pow_op(INF, 0.5), INF)
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354 self.assertEqualAndEqualSign(pow_op(INF, 1.0), INF)
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355 self.assertEqualAndEqualSign(pow_op(INF, 2.0), INF)
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356
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357 # INF**y is 0.0 for y negative
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358 self.assertEqualAndEqualSign(pow_op(INF, -2.0), 0.0)
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359 self.assertEqualAndEqualSign(pow_op(INF, -1.0), 0.0)
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360 self.assertEqualAndEqualSign(pow_op(INF, -0.5), 0.0)
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361
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362 # basic checks not covered by the special cases above
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363 self.assertEqualAndEqualSign(pow_op(-2.0, -2.0), 0.25)
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364 self.assertEqualAndEqualSign(pow_op(-2.0, -1.0), -0.5)
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365 self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
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366 self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
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367 self.assertEqualAndEqualSign(pow_op(-2.0, 1.0), -2.0)
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368 self.assertEqualAndEqualSign(pow_op(-2.0, 2.0), 4.0)
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369 self.assertEqualAndEqualSign(pow_op(-1.0, -2.0), 1.0)
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370 self.assertEqualAndEqualSign(pow_op(-1.0, -1.0), -1.0)
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371 self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
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372 self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
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373 self.assertEqualAndEqualSign(pow_op(-1.0, 1.0), -1.0)
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374 self.assertEqualAndEqualSign(pow_op(-1.0, 2.0), 1.0)
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375 self.assertEqualAndEqualSign(pow_op(2.0, -2.0), 0.25)
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376 self.assertEqualAndEqualSign(pow_op(2.0, -1.0), 0.5)
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377 self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
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378 self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
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379 self.assertEqualAndEqualSign(pow_op(2.0, 1.0), 2.0)
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380 self.assertEqualAndEqualSign(pow_op(2.0, 2.0), 4.0)
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381
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382 # 1 ** large and -1 ** large; some libms apparently
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383 # have problems with these
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384 self.assertEqualAndEqualSign(pow_op(1.0, -1e100), 1.0)
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385 self.assertEqualAndEqualSign(pow_op(1.0, 1e100), 1.0)
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386 self.assertEqualAndEqualSign(pow_op(-1.0, -1e100), 1.0)
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387 self.assertEqualAndEqualSign(pow_op(-1.0, 1e100), 1.0)
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388
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389 # check sign for results that underflow to 0
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390 self.assertEqualAndEqualSign(pow_op(-2.0, -2000.0), 0.0)
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391 self.assertEqual(type(pow_op(-2.0, -2000.5)), complex)
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392 self.assertEqualAndEqualSign(pow_op(-2.0, -2001.0), -0.0)
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393 self.assertEqualAndEqualSign(pow_op(2.0, -2000.0), 0.0)
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394 self.assertEqualAndEqualSign(pow_op(2.0, -2000.5), 0.0)
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395 self.assertEqualAndEqualSign(pow_op(2.0, -2001.0), 0.0)
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396 self.assertEqualAndEqualSign(pow_op(-0.5, 2000.0), 0.0)
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397 self.assertEqual(type(pow_op(-0.5, 2000.5)), complex)
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398 self.assertEqualAndEqualSign(pow_op(-0.5, 2001.0), -0.0)
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399 self.assertEqualAndEqualSign(pow_op(0.5, 2000.0), 0.0)
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400 self.assertEqualAndEqualSign(pow_op(0.5, 2000.5), 0.0)
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401 self.assertEqualAndEqualSign(pow_op(0.5, 2001.0), 0.0)
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402
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403 # check we don't raise an exception for subnormal results,
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404 # and validate signs. Tests currently disabled, since
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405 # they fail on systems where a subnormal result from pow
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406 # is flushed to zero (e.g. Debian/ia64.)
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407 #self.assertTrue(0.0 < pow_op(0.5, 1048) < 1e-315)
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408 #self.assertTrue(0.0 < pow_op(-0.5, 1048) < 1e-315)
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409 #self.assertTrue(0.0 < pow_op(0.5, 1047) < 1e-315)
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410 #self.assertTrue(0.0 > pow_op(-0.5, 1047) > -1e-315)
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411 #self.assertTrue(0.0 < pow_op(2.0, -1048) < 1e-315)
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412 #self.assertTrue(0.0 < pow_op(-2.0, -1048) < 1e-315)
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413 #self.assertTrue(0.0 < pow_op(2.0, -1047) < 1e-315)
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414 #self.assertTrue(0.0 > pow_op(-2.0, -1047) > -1e-315)
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415
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416
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417 @requires_setformat
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418 class FormatFunctionsTestCase(unittest.TestCase):
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419
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420 def setUp(self):
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421 self.save_formats = {'double':float.__getformat__('double'),
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422 'float':float.__getformat__('float')}
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423
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424 def tearDown(self):
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425 float.__setformat__('double', self.save_formats['double'])
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426 float.__setformat__('float', self.save_formats['float'])
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427
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428 def test_getformat(self):
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429 self.assertIn(float.__getformat__('double'),
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430 ['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
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431 self.assertIn(float.__getformat__('float'),
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432 ['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
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433 self.assertRaises(ValueError, float.__getformat__, 'chicken')
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434 self.assertRaises(TypeError, float.__getformat__, 1)
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435
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436 def test_setformat(self):
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437 for t in 'double', 'float':
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438 float.__setformat__(t, 'unknown')
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439 if self.save_formats[t] == 'IEEE, big-endian':
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440 self.assertRaises(ValueError, float.__setformat__,
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441 t, 'IEEE, little-endian')
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442 elif self.save_formats[t] == 'IEEE, little-endian':
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443 self.assertRaises(ValueError, float.__setformat__,
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444 t, 'IEEE, big-endian')
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445 else:
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446 self.assertRaises(ValueError, float.__setformat__,
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447 t, 'IEEE, big-endian')
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448 self.assertRaises(ValueError, float.__setformat__,
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449 t, 'IEEE, little-endian')
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450 self.assertRaises(ValueError, float.__setformat__,
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
451 t, 'chicken')
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Michael W. Hudson <mwh@python.net>
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diff changeset
452 self.assertRaises(ValueError, float.__setformat__,
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
453 'chicken', 'unknown')
1dd8a0d64432 This is my patch:
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454
41725
d1146d4db549 Make tset_float pass. float(<unicode>) was never very good -- it used
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parents: 35014
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455 BE_DOUBLE_INF = b'\x7f\xf0\x00\x00\x00\x00\x00\x00'
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Guido van Rossum <guido@python.org>
parents: 43777
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456 LE_DOUBLE_INF = bytes(reversed(BE_DOUBLE_INF))
41725
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parents: 35014
diff changeset
457 BE_DOUBLE_NAN = b'\x7f\xf8\x00\x00\x00\x00\x00\x00'
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Guido van Rossum <guido@python.org>
parents: 43777
diff changeset
458 LE_DOUBLE_NAN = bytes(reversed(BE_DOUBLE_NAN))
34972
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Michael W. Hudson <mwh@python.net>
parents:
diff changeset
459
41725
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Guido van Rossum <guido@python.org>
parents: 35014
diff changeset
460 BE_FLOAT_INF = b'\x7f\x80\x00\x00'
43947
cbc8b3bd3157 Rename buffer -> bytearray.
Guido van Rossum <guido@python.org>
parents: 43777
diff changeset
461 LE_FLOAT_INF = bytes(reversed(BE_FLOAT_INF))
41725
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Guido van Rossum <guido@python.org>
parents: 35014
diff changeset
462 BE_FLOAT_NAN = b'\x7f\xc0\x00\x00'
43947
cbc8b3bd3157 Rename buffer -> bytearray.
Guido van Rossum <guido@python.org>
parents: 43777
diff changeset
463 LE_FLOAT_NAN = bytes(reversed(BE_FLOAT_NAN))
34972
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parents:
diff changeset
464
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
465 # on non-IEEE platforms, attempting to unpack a bit pattern
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
466 # representing an infinity or a NaN should raise an exception.
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
467
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Benjamin Peterson <benjamin@python.org>
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diff changeset
468 @requires_setformat
34972
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parents:
diff changeset
469 class UnknownFormatTestCase(unittest.TestCase):
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
470 def setUp(self):
1dd8a0d64432 This is my patch:
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parents:
diff changeset
471 self.save_formats = {'double':float.__getformat__('double'),
1dd8a0d64432 This is my patch:
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parents:
diff changeset
472 'float':float.__getformat__('float')}
1dd8a0d64432 This is my patch:
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parents:
diff changeset
473 float.__setformat__('double', 'unknown')
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
474 float.__setformat__('float', 'unknown')
35014
275843630522 Whitespace normalization.
Tim Peters <tim.peters@gmail.com>
parents: 34972
diff changeset
475
34972
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
476 def tearDown(self):
1dd8a0d64432 This is my patch:
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parents:
diff changeset
477 float.__setformat__('double', self.save_formats['double'])
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
478 float.__setformat__('float', self.save_formats['float'])
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
479
1dd8a0d64432 This is my patch:
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parents:
diff changeset
480 def test_double_specials_dont_unpack(self):
1dd8a0d64432 This is my patch:
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parents:
diff changeset
481 for fmt, data in [('>d', BE_DOUBLE_INF),
1dd8a0d64432 This is my patch:
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parents:
diff changeset
482 ('>d', BE_DOUBLE_NAN),
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
483 ('<d', LE_DOUBLE_INF),
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
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diff changeset
484 ('<d', LE_DOUBLE_NAN)]:
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
485 self.assertRaises(ValueError, struct.unpack, fmt, data)
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
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diff changeset
486
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
487 def test_float_specials_dont_unpack(self):
1dd8a0d64432 This is my patch:
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parents:
diff changeset
488 for fmt, data in [('>f', BE_FLOAT_INF),
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
489 ('>f', BE_FLOAT_NAN),
1dd8a0d64432 This is my patch:
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parents:
diff changeset
490 ('<f', LE_FLOAT_INF),
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
491 ('<f', LE_FLOAT_NAN)]:
1dd8a0d64432 This is my patch:
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parents:
diff changeset
492 self.assertRaises(ValueError, struct.unpack, fmt, data)
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
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diff changeset
493
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
494
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
495 # on an IEEE platform, all we guarantee is that bit patterns
1dd8a0d64432 This is my patch:
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parents:
diff changeset
496 # representing infinities or NaNs do not raise an exception; all else
1dd8a0d64432 This is my patch:
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parents:
diff changeset
497 # is accident (today).
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498 # let's also try to guarantee that -0.0 and 0.0 don't get confused.
34972
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Michael W. Hudson <mwh@python.net>
parents:
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499
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
500 class IEEEFormatTestCase(unittest.TestCase):
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
501
66709
f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests.
Eric Smith <eric@trueblade.com>
parents: 66698
diff changeset
502 @support.requires_IEEE_754
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Benjamin Peterson <benjamin@python.org>
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diff changeset
503 def test_double_specials_do_unpack(self):
f271e1d0e9c4 Merged revisions 82461 via svnmerge from
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parents: 62414
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504 for fmt, data in [('>d', BE_DOUBLE_INF),
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
505 ('>d', BE_DOUBLE_NAN),
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
506 ('<d', LE_DOUBLE_INF),
f271e1d0e9c4 Merged revisions 82461 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
507 ('<d', LE_DOUBLE_NAN)]:
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
508 struct.unpack(fmt, data)
34972
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Michael W. Hudson <mwh@python.net>
parents:
diff changeset
509
66709
f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests.
Eric Smith <eric@trueblade.com>
parents: 66698
diff changeset
510 @support.requires_IEEE_754
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Benjamin Peterson <benjamin@python.org>
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diff changeset
511 def test_float_specials_do_unpack(self):
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
512 for fmt, data in [('>f', BE_FLOAT_INF),
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
513 ('>f', BE_FLOAT_NAN),
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
514 ('<f', LE_FLOAT_INF),
f271e1d0e9c4 Merged revisions 82461 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
515 ('<f', LE_FLOAT_NAN)]:
f271e1d0e9c4 Merged revisions 82461 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
516 struct.unpack(fmt, data)
42775
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Guido van Rossum <guido@python.org>
parents: 41725
diff changeset
517
42817
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
518 class FormatTestCase(unittest.TestCase):
62705
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Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
519
43111
7b0237cbd0ed Fixed test name.
Eric Smith <eric@trueblade.com>
parents: 42817
diff changeset
520 def test_format(self):
42817
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Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
521 # these should be rewritten to use both format(x, spec) and
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
522 # x.__format__(spec)
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parents: 42775
diff changeset
523
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parents: 42775
diff changeset
524 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
525
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
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parents: 42775
diff changeset
526 # 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
527 self.assertEqual(format(0.0, ''), '0.0')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
528 self.assertEqual(format(0.01, ''), '0.01')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
529 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
530
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
531 # 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
532 # (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
533 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
534 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
535 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
536 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
537 self.assertEqual(format(x, '2'), str(x))
42817
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
538
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
539 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
540
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
541 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
542
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
543 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
544 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
545 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
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 # % formatting
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
549 self.assertEqual(format(-1.0, '%'), '-100.000000%')
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
550
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
551 # conversion to string should fail
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
552 self.assertRaises(ValueError, format, 3.0, "s")
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
553
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
554 # other format specifiers shouldn't work on floats,
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
555 # in particular int specifiers
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
556 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
557 [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
558 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
559 self.assertRaises(ValueError, format, 0.0, 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
560 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
561 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
562 self.assertRaises(ValueError, format, 1e100, format_spec)
727cc810d690 Restrict format presentation types to those specified in the 'Standard Format Specifiers' section of PEP 3101.
Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
563 self.assertRaises(ValueError, format, -1e100, format_spec)
727cc810d690 Restrict format presentation types to those specified in the 'Standard Format Specifiers' section of PEP 3101.
Eric Smith <eric@trueblade.com>
parents: 44349
diff changeset
564 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
565 self.assertRaises(ValueError, format, -1e-100, format_spec)
34972
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
566
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
567 # 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
568 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
569 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
570 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
571 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
572
66709
f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests.
Eric Smith <eric@trueblade.com>
parents: 66698
diff changeset
573 @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
574 def test_format_testfile(self):
65786
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Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
575 with open(format_testfile) as testfile:
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Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
576 for line in testfile:
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Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
577 if line.startswith('--'):
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Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
578 continue
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Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
579 line = line.strip()
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Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
580 if not line:
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
581 continue
53187
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
582
65786
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
583 lhs, rhs = map(str.strip, line.split('->'))
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
584 fmt, arg = lhs.split()
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
585 self.assertEqual(fmt % float(arg), rhs)
06e21500119a Merged revisions 86003 via svnmerge from
Brian Curtin <brian.curtin@gmail.com>
parents: 58280
diff changeset
586 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
587
53603
3759839b9fa5 Issue #5864: Fix problem with empty code formatting for floats,
Mark Dickinson <dickinsm@gmail.com>
parents: 53218
diff changeset
588 def test_issue5864(self):
66340
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Ezio Melotti <ezio.melotti@gmail.com>
parents: 65786
diff changeset
589 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
590 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
591 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
592
53209
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Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
593 class ReprTestCase(unittest.TestCase):
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
594 def test_repr(self):
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
595 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
596 'floating_points.txt'))
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
597 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
598 line = line.strip()
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
599 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
600 continue
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
601 v = eval(line)
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
602 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
603 floats_file.close()
8d8f2f98a752 Sort out some confusion in test_float.py: the two
Mark Dickinson <dickinsm@gmail.com>
parents: 53187
diff changeset
604
53187
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
605 @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
606 "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
607 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
608 # 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
609 # 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
610 # 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
611 # 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
612 # 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
613 # 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
614
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
615 test_strings = [
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
616 # 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
617 # 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
618 '0.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
619 '1.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
620 '0.01',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
621 '0.02',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
622 '0.03',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
623 '0.04',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
624 '0.05',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
625 '1.23456789',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
626 '10.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
627 '100.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
628 # 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
629 '1000000000000000.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
630 '9999999999999990.0',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
631 '1e+16',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
632 '1e+17',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
633 # ... 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
634 '0.001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
635 '0.001001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
636 '0.00010000000000001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
637 '0.0001',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
638 '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
639 '1e-05',
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
640 # 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
641 # 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
642 '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
643 '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
644 '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
645 '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
646 '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
647 ]
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
648
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
649 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
650 negs = '-'+s
b653eab13b73 The other half of Issue #1580: use short float repr where possible.
Eric Smith <eric@trueblade.com>
parents: 53161
diff changeset
651 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
652 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
653 # 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
654 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
655 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
656
66709
f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests.
Eric Smith <eric@trueblade.com>
parents: 66698
diff changeset
657 @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
658 class RoundTestCase(unittest.TestCase):
62705
f271e1d0e9c4 Merged revisions 82461 via svnmerge from
Benjamin Peterson <benjamin@python.org>
parents: 62414
diff changeset
659
53218
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
660 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
661 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
662 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
663 self.assertRaises(ValueError, round, NAN)
57425
b7fbef077eae Merged revisions 76485 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 56922
diff changeset
664 self.assertRaises(TypeError, round, INF, 0.0)
b7fbef077eae Merged revisions 76485 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 56922
diff changeset
665 self.assertRaises(TypeError, round, -INF, 1.0)
b7fbef077eae Merged revisions 76485 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 56922
diff changeset
666 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
667 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
668
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
669 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
670 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
671 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
672 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
673 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
674 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
675 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
676 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
677 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
678 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
679 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
680
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
681 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
682 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
683 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
684 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
685 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
686 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
687
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
688 def test_overflow(self):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
689 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
690 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
691
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
692 @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
693 "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
694 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
695 # 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
696 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
697 562949953421312.5)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
698 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
699 56294995342131.5)
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
700 # round-half-even
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
701 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
702 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
703 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
704 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
705 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
706 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
707 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
708 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
709
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
710 @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
711 "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
712 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
713 # 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
714 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
715 x = i/1000.
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Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
716 self.assertEqual(float(format(x, '.0f')), round(x, 0))
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Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
717 self.assertEqual(float(format(x, '.1f')), round(x, 1))
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Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
718 self.assertEqual(float(format(x, '.2f')), round(x, 2))
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Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
719 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
720
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(5, 5000, 10):
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))
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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(500):
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
729 x = random.random()
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
57538
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diff changeset
735 def test_format_specials(self):
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diff changeset
736 # Test formatting of nans and infs.
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diff changeset
737
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diff changeset
738 def test(fmt, value, expected):
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diff changeset
739 # Test with both % and format().
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parents: 57425
diff changeset
740 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
741 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
742 self.assertEqual(format(value, fmt), expected, fmt)
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diff changeset
743
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diff changeset
744 for fmt in ['%e', '%f', '%g', '%.0e', '%.6f', '%.20g',
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parents: 57425
diff changeset
745 '%#e', '%#f', '%#g', '%#.20e', '%#.15f', '%#.3g']:
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parents: 57425
diff changeset
746 pfmt = '%+' + fmt[1:]
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diff changeset
747 sfmt = '% ' + fmt[1:]
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diff changeset
748 test(fmt, INF, 'inf')
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diff changeset
749 test(fmt, -INF, '-inf')
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diff changeset
750 test(fmt, NAN, 'nan')
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diff changeset
751 test(fmt, -NAN, 'nan')
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diff changeset
752 # When asking for a sign, it's always provided. nans are
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diff changeset
753 # always positive.
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parents: 57425
diff changeset
754 test(pfmt, INF, '+inf')
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diff changeset
755 test(pfmt, -INF, '-inf')
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diff changeset
756 test(pfmt, NAN, '+nan')
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diff changeset
757 test(pfmt, -NAN, '+nan')
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diff changeset
758 # When using ' ' for a sign code, only infs can be negative.
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parents: 57425
diff changeset
759 # Others have a space.
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parents: 57425
diff changeset
760 test(sfmt, INF, ' inf')
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diff changeset
761 test(sfmt, -INF, '-inf')
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diff changeset
762 test(sfmt, NAN, ' nan')
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diff changeset
763 test(sfmt, -NAN, ' nan')
53218
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Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
764
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
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parents: 53209
diff changeset
765
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diff changeset
766 # Beginning with Python 2.6 float has cross platform compatible
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diff changeset
767 # ways to create and represent inf and nan
44349
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diff changeset
768 class InfNanTest(unittest.TestCase):
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diff changeset
769 def test_inf_from_str(self):
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diff changeset
770 self.assertTrue(isinf(float("inf")))
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parents: 54232
diff changeset
771 self.assertTrue(isinf(float("+inf")))
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diff changeset
772 self.assertTrue(isinf(float("-inf")))
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diff changeset
773 self.assertTrue(isinf(float("infinity")))
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parents: 54232
diff changeset
774 self.assertTrue(isinf(float("+infinity")))
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parents: 54232
diff changeset
775 self.assertTrue(isinf(float("-infinity")))
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776
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diff changeset
777 self.assertEqual(repr(float("inf")), "inf")
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diff changeset
778 self.assertEqual(repr(float("+inf")), "inf")
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diff changeset
779 self.assertEqual(repr(float("-inf")), "-inf")
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diff changeset
780 self.assertEqual(repr(float("infinity")), "inf")
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diff changeset
781 self.assertEqual(repr(float("+infinity")), "inf")
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diff changeset
782 self.assertEqual(repr(float("-infinity")), "-inf")
44349
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783
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diff changeset
784 self.assertEqual(repr(float("INF")), "inf")
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diff changeset
785 self.assertEqual(repr(float("+Inf")), "inf")
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diff changeset
786 self.assertEqual(repr(float("-iNF")), "-inf")
48499
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parents: 48498
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")
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790
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diff changeset
791 self.assertEqual(str(float("inf")), "inf")
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diff changeset
792 self.assertEqual(str(float("+inf")), "inf")
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diff changeset
793 self.assertEqual(str(float("-inf")), "-inf")
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parents: 48498
diff changeset
794 self.assertEqual(str(float("infinity")), "inf")
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diff changeset
795 self.assertEqual(str(float("+infinity")), "inf")
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796 self.assertEqual(str(float("-infinity")), "-inf")
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797
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diff changeset
798 self.assertRaises(ValueError, float, "info")
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diff changeset
799 self.assertRaises(ValueError, float, "+info")
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diff changeset
800 self.assertRaises(ValueError, float, "-info")
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diff changeset
801 self.assertRaises(ValueError, float, "in")
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diff changeset
802 self.assertRaises(ValueError, float, "+in")
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diff changeset
803 self.assertRaises(ValueError, float, "-in")
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diff changeset
804 self.assertRaises(ValueError, float, "infinit")
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diff changeset
805 self.assertRaises(ValueError, float, "+Infin")
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diff changeset
806 self.assertRaises(ValueError, float, "-INFI")
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diff changeset
807 self.assertRaises(ValueError, float, "infinitys")
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diff changeset
808
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Mark Dickinson <dickinsm@gmail.com>
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diff changeset
809 self.assertRaises(ValueError, float, "++Inf")
4501b638fc3f Refactor to remove duplicated nan/inf parsing code in
Mark Dickinson <dickinsm@gmail.com>
parents: 54001
diff changeset
810 self.assertRaises(ValueError, float, "-+inf")
4501b638fc3f Refactor to remove duplicated nan/inf parsing code in
Mark Dickinson <dickinsm@gmail.com>
parents: 54001
diff changeset
811 self.assertRaises(ValueError, float, "+-infinity")
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Mark Dickinson <dickinsm@gmail.com>
parents: 54001
diff changeset
812 self.assertRaises(ValueError, float, "--Infinity")
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parents: 54001
diff changeset
813
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814 def test_inf_as_str(self):
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815 self.assertEqual(repr(1e300 * 1e300), "inf")
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diff changeset
816 self.assertEqual(repr(-1e300 * 1e300), "-inf")
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817
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diff changeset
818 self.assertEqual(str(1e300 * 1e300), "inf")
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819 self.assertEqual(str(-1e300 * 1e300), "-inf")
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820
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821 def test_nan_from_str(self):
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822 self.assertTrue(isnan(float("nan")))
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diff changeset
823 self.assertTrue(isnan(float("+nan")))
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diff changeset
824 self.assertTrue(isnan(float("-nan")))
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825
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diff changeset
826 self.assertEqual(repr(float("nan")), "nan")
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diff changeset
827 self.assertEqual(repr(float("+nan")), "nan")
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diff changeset
828 self.assertEqual(repr(float("-nan")), "nan")
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829
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diff changeset
830 self.assertEqual(repr(float("NAN")), "nan")
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diff changeset
831 self.assertEqual(repr(float("+NAn")), "nan")
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832 self.assertEqual(repr(float("-NaN")), "nan")
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833
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diff changeset
834 self.assertEqual(str(float("nan")), "nan")
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parents: 44268
diff changeset
835 self.assertEqual(str(float("+nan")), "nan")
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diff changeset
836 self.assertEqual(str(float("-nan")), "nan")
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diff changeset
837
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diff changeset
838 self.assertRaises(ValueError, float, "nana")
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diff changeset
839 self.assertRaises(ValueError, float, "+nana")
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diff changeset
840 self.assertRaises(ValueError, float, "-nana")
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diff changeset
841 self.assertRaises(ValueError, float, "na")
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diff changeset
842 self.assertRaises(ValueError, float, "+na")
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diff changeset
843 self.assertRaises(ValueError, float, "-na")
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diff changeset
844
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parents: 54001
diff changeset
845 self.assertRaises(ValueError, float, "++nan")
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parents: 54001
diff changeset
846 self.assertRaises(ValueError, float, "-+NAN")
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diff changeset
847 self.assertRaises(ValueError, float, "+-NaN")
4501b638fc3f Refactor to remove duplicated nan/inf parsing code in
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diff changeset
848 self.assertRaises(ValueError, float, "--nAn")
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849
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850 def test_nan_as_str(self):
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851 self.assertEqual(repr(1e300 * 1e300 * 0), "nan")
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diff changeset
852 self.assertEqual(repr(-1e300 * 1e300 * 0), "nan")
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diff changeset
853
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diff changeset
854 self.assertEqual(str(1e300 * 1e300 * 0), "nan")
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diff changeset
855 self.assertEqual(str(-1e300 * 1e300 * 0), "nan")
44260
682d9788a038 Issue #1580: New free format floating point representation based on "Floating-Point Printer Sample Code", by Robert G. Burger. For example repr(11./5) now returns '2.2' instead of '2.2000000000000002'.
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parents: 43947
diff changeset
856
46477
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diff changeset
857 def notest_float_nan(self):
55593
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diff changeset
858 self.assertTrue(NAN.is_nan())
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diff changeset
859 self.assertFalse(INF.is_nan())
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parents: 54232
diff changeset
860 self.assertFalse((0.).is_nan())
46477
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diff changeset
861
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diff changeset
862 def notest_float_inf(self):
55593
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Georg Brandl <georg@python.org>
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diff changeset
863 self.assertTrue(INF.is_inf())
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diff changeset
864 self.assertFalse(NAN.is_inf())
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diff changeset
865 self.assertFalse((0.).is_inf())
46477
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parents: 45023
diff changeset
866
48497
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diff changeset
867 fromHex = float.fromhex
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diff changeset
868 toHex = float.hex
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diff changeset
869 class HexFloatTestCase(unittest.TestCase):
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diff changeset
870 MAX = fromHex('0x.fffffffffffff8p+1024') # max normal
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diff changeset
871 MIN = fromHex('0x1p-1022') # min normal
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diff changeset
872 TINY = fromHex('0x0.0000000000001p-1022') # min subnormal
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diff changeset
873 EPS = fromHex('0x0.0000000000001p0') # diff between 1.0 and next float up
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diff changeset
874
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diff changeset
875 def identical(self, x, y):
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diff changeset
876 # check that floats x and y are identical, or that both
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diff changeset
877 # are NaNs
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diff changeset
878 if isnan(x) or isnan(y):
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diff changeset
879 if isnan(x) == isnan(y):
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diff changeset
880 return
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diff changeset
881 elif x == y and (x != 0.0 or copysign(1.0, x) == copysign(1.0, y)):
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diff changeset
882 return
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diff changeset
883 self.fail('%r not identical to %r' % (x, y))
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diff changeset
884
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diff changeset
885 def test_ends(self):
48498
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diff changeset
886 self.identical(self.MIN, ldexp(1.0, -1022))
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diff changeset
887 self.identical(self.TINY, ldexp(1.0, -1074))
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diff changeset
888 self.identical(self.EPS, ldexp(1.0, -52))
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parents: 48497
diff changeset
889 self.identical(self.MAX, 2.*(ldexp(1.0, 1023) - ldexp(1.0, 970)))
48497
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diff changeset
890
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diff changeset
891 def test_invalid_inputs(self):
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parents: 47322
diff changeset
892 invalid_inputs = [
2bb866d282ba Merged revisions 64974 via svnmerge from
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parents: 47322
diff changeset
893 'infi', # misspelt infinities and nans
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parents: 47322
diff changeset
894 '-Infinit',
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parents: 47322
diff changeset
895 '++inf',
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diff changeset
896 '-+Inf',
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diff changeset
897 '--nan',
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diff changeset
898 '+-NaN',
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diff changeset
899 'snan',
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parents: 47322
diff changeset
900 'NaNs',
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parents: 47322
diff changeset
901 'nna',
54001
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parents: 53849
diff changeset
902 'an',
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parents: 53849
diff changeset
903 'nf',
9414c2b1923e Merged revisions 72564 via svnmerge from
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parents: 53849
diff changeset
904 'nfinity',
9414c2b1923e Merged revisions 72564 via svnmerge from
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parents: 53849
diff changeset
905 'inity',
9414c2b1923e Merged revisions 72564 via svnmerge from
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parents: 53849
diff changeset
906 'iinity',
48497
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parents: 47322
diff changeset
907 '0xnan',
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diff changeset
908 '',
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diff changeset
909 ' ',
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parents: 47322
diff changeset
910 'x1.0p0',
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parents: 47322
diff changeset
911 '0xX1.0p0',
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parents: 47322
diff changeset
912 '+ 0x1.0p0', # internal whitespace
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parents: 47322
diff changeset
913 '- 0x1.0p0',
2bb866d282ba Merged revisions 64974 via svnmerge from
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parents: 47322
diff changeset
914 '0 x1.0p0',
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parents: 47322
diff changeset
915 '0x 1.0p0',
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parents: 47322
diff changeset
916 '0x1 2.0p0',
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parents: 47322
diff changeset
917 '+0x1 .0p0',
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parents: 47322
diff changeset
918 '0x1. 0p0',
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parents: 47322
diff changeset
919 '-0x1.0 1p0',
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parents: 47322
diff changeset
920 '-0x1.0 p0',
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parents: 47322
diff changeset
921 '+0x1.0p +0',
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parents: 47322
diff changeset
922 '0x1.0p -0',
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parents: 47322
diff changeset
923 '0x1.0p 0',
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parents: 47322
diff changeset
924 '+0x1.0p+ 0',
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parents: 47322
diff changeset
925 '-0x1.0p- 0',
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parents: 47322
diff changeset
926 '++0x1.0p-0', # double signs
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parents: 47322
diff changeset
927 '--0x1.0p0',
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parents: 47322
diff changeset
928 '+-0x1.0p+0',
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parents: 47322
diff changeset
929 '-+0x1.0p0',
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parents: 47322
diff changeset
930 '0x1.0p++0',
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parents: 47322
diff changeset
931 '+0x1.0p+-0',
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parents: 47322
diff changeset
932 '-0x1.0p-+0',
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parents: 47322
diff changeset
933 '0x1.0p--0',
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parents: 47322
diff changeset
934 '0x1.0.p0',
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parents: 47322
diff changeset
935 '0x.p0', # no hex digits before or after point
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
936 '0x1,p0', # wrong decimal point character
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parents: 47322
diff changeset
937 '0x1pa',
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parents: 47322
diff changeset
938 '0x1p\uff10', # fullwidth Unicode digits
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parents: 47322
diff changeset
939 '\uff10x1p0',
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parents: 47322
diff changeset
940 '0x\uff11p0',
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parents: 47322
diff changeset
941 '0x1.\uff10p0',
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parents: 47322
diff changeset
942 '0x1p0 \n 0x2p0',
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parents: 47322
diff changeset
943 '0x1p0\0 0x1p0', # embedded null byte is not end of string
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diff changeset
944 ]
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diff changeset
945 for x in invalid_inputs:
48817
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parents: 48499
diff changeset
946 try:
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parents: 48499
diff changeset
947 result = fromHex(x)
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parents: 48499
diff changeset
948 except ValueError:
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949 pass
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950 else:
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951 self.fail('Expected float.fromhex(%r) to raise ValueError; '
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952 'got %r instead' % (x, result))
48497
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953
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954
54001
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955 def test_whitespace(self):
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956 value_pairs = [
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957 ('inf', INF),
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958 ('-Infinity', -INF),
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959 ('nan', NAN),
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960 ('1.0', 1.0),
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961 ('-0x.2', -0.125),
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962 ('-0.0', -0.0)
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963 ]
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964 whitespace = [
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965 '',
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966 ' ',
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967 '\t',
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968 '\n',
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969 '\n \t',
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970 '\f',
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971 '\v',
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972 '\r'
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973 ]
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974 for inp, expected in value_pairs:
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975 for lead in whitespace:
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976 for trail in whitespace:
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977 got = fromHex(lead + inp + trail)
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978 self.identical(got, expected)
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979
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980
48497
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981 def test_from_hex(self):
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982 MIN = self.MIN;
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983 MAX = self.MAX;
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984 TINY = self.TINY;
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985 EPS = self.EPS;
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986
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987 # two spellings of infinity, with optional signs; case-insensitive
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988 self.identical(fromHex('inf'), INF)
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989 self.identical(fromHex('+Inf'), INF)
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990 self.identical(fromHex('-INF'), -INF)
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991 self.identical(fromHex('iNf'), INF)
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992 self.identical(fromHex('Infinity'), INF)
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993 self.identical(fromHex('+INFINITY'), INF)
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994 self.identical(fromHex('-infinity'), -INF)
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995 self.identical(fromHex('-iNFiNitY'), -INF)
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996
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997 # nans with optional sign; case insensitive
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998 self.identical(fromHex('nan'), NAN)
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999 self.identical(fromHex('+NaN'), NAN)
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1000 self.identical(fromHex('-NaN'), NAN)
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1001 self.identical(fromHex('-nAN'), NAN)
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1002
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1003 # variations in input format
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1004 self.identical(fromHex('1'), 1.0)
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1005 self.identical(fromHex('+1'), 1.0)
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diff changeset
1006 self.identical(fromHex('1.'), 1.0)
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diff changeset
1007 self.identical(fromHex('1.0'), 1.0)
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1008 self.identical(fromHex('1.0p0'), 1.0)
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1009 self.identical(fromHex('01'), 1.0)
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1010 self.identical(fromHex('01.'), 1.0)
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1011 self.identical(fromHex('0x1'), 1.0)
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1012 self.identical(fromHex('0x1.'), 1.0)
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1013 self.identical(fromHex('0x1.0'), 1.0)
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1014 self.identical(fromHex('+0x1.0'), 1.0)
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1015 self.identical(fromHex('0x1p0'), 1.0)
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1016 self.identical(fromHex('0X1p0'), 1.0)
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1017 self.identical(fromHex('0X1P0'), 1.0)
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1018 self.identical(fromHex('0x1P0'), 1.0)
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1019 self.identical(fromHex('0x1.p0'), 1.0)
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1020 self.identical(fromHex('0x1.0p0'), 1.0)
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1021 self.identical(fromHex('0x.1p4'), 1.0)
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1022 self.identical(fromHex('0x.1p04'), 1.0)
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1023 self.identical(fromHex('0x.1p004'), 1.0)
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1024 self.identical(fromHex('0x1p+0'), 1.0)
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1025 self.identical(fromHex('0x1P-0'), 1.0)
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1026 self.identical(fromHex('+0x1p0'), 1.0)
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1027 self.identical(fromHex('0x01p0'), 1.0)
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1028 self.identical(fromHex('0x1p00'), 1.0)
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1029 self.identical(fromHex(' 0x1p0 '), 1.0)
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1030 self.identical(fromHex('\n 0x1p0'), 1.0)
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1031 self.identical(fromHex('0x1p0 \t'), 1.0)
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1032 self.identical(fromHex('0xap0'), 10.0)
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1033 self.identical(fromHex('0xAp0'), 10.0)
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1034 self.identical(fromHex('0xaP0'), 10.0)
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1035 self.identical(fromHex('0xAP0'), 10.0)
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1036 self.identical(fromHex('0xbep0'), 190.0)
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1037 self.identical(fromHex('0xBep0'), 190.0)
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1038 self.identical(fromHex('0xbEp0'), 190.0)
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1039 self.identical(fromHex('0XBE0P-4'), 190.0)
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1040 self.identical(fromHex('0xBEp0'), 190.0)
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1041 self.identical(fromHex('0xB.Ep4'), 190.0)
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1042 self.identical(fromHex('0x.BEp8'), 190.0)
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1043 self.identical(fromHex('0x.0BEp12'), 190.0)
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1044
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1045 # moving the point around
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1046 pi = fromHex('0x1.921fb54442d18p1')
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1047 self.identical(fromHex('0x.006487ed5110b46p11'), pi)
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diff changeset
1048 self.identical(fromHex('0x.00c90fdaa22168cp10'), pi)
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1049 self.identical(fromHex('0x.01921fb54442d18p9'), pi)
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diff changeset
1050 self.identical(fromHex('0x.03243f6a8885a3p8'), pi)
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diff changeset
1051 self.identical(fromHex('0x.06487ed5110b46p7'), pi)
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diff changeset
1052 self.identical(fromHex('0x.0c90fdaa22168cp6'), pi)
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diff changeset
1053 self.identical(fromHex('0x.1921fb54442d18p5'), pi)
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diff changeset
1054 self.identical(fromHex('0x.3243f6a8885a3p4'), pi)
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diff changeset
1055 self.identical(fromHex('0x.6487ed5110b46p3'), pi)
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diff changeset
1056 self.identical(fromHex('0x.c90fdaa22168cp2'), pi)
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diff changeset
1057 self.identical(fromHex('0x1.921fb54442d18p1'), pi)
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diff changeset
1058 self.identical(fromHex('0x3.243f6a8885a3p0'), pi)
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diff changeset
1059 self.identical(fromHex('0x6.487ed5110b46p-1'), pi)
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diff changeset
1060 self.identical(fromHex('0xc.90fdaa22168cp-2'), pi)
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diff changeset
1061 self.identical(fromHex('0x19.21fb54442d18p-3'), pi)
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diff changeset
1062 self.identical(fromHex('0x32.43f6a8885a3p-4'), pi)
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diff changeset
1063 self.identical(fromHex('0x64.87ed5110b46p-5'), pi)
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diff changeset
1064 self.identical(fromHex('0xc9.0fdaa22168cp-6'), pi)
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1065 self.identical(fromHex('0x192.1fb54442d18p-7'), pi)
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diff changeset
1066 self.identical(fromHex('0x324.3f6a8885a3p-8'), pi)
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diff changeset
1067 self.identical(fromHex('0x648.7ed5110b46p-9'), pi)
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diff changeset
1068 self.identical(fromHex('0xc90.fdaa22168cp-10'), pi)
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diff changeset
1069 self.identical(fromHex('0x1921.fb54442d18p-11'), pi)
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diff changeset
1070 # ...
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1071 self.identical(fromHex('0x1921fb54442d1.8p-47'), pi)
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1072 self.identical(fromHex('0x3243f6a8885a3p-48'), pi)
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1073 self.identical(fromHex('0x6487ed5110b46p-49'), pi)
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diff changeset
1074 self.identical(fromHex('0xc90fdaa22168cp-50'), pi)
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diff changeset
1075 self.identical(fromHex('0x1921fb54442d18p-51'), pi)
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diff changeset
1076 self.identical(fromHex('0x3243f6a8885a30p-52'), pi)
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diff changeset
1077 self.identical(fromHex('0x6487ed5110b460p-53'), pi)
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1078 self.identical(fromHex('0xc90fdaa22168c0p-54'), pi)
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1079 self.identical(fromHex('0x1921fb54442d180p-55'), pi)
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1080
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1081
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1082 # results that should overflow...
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1083 self.assertRaises(OverflowError, fromHex, '-0x1p1024')
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1084 self.assertRaises(OverflowError, fromHex, '0x1p+1025')
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1085 self.assertRaises(OverflowError, fromHex, '+0X1p1030')
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1086 self.assertRaises(OverflowError, fromHex, '-0x1p+1100')
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1087 self.assertRaises(OverflowError, fromHex, '0X1p123456789123456789')
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1088 self.assertRaises(OverflowError, fromHex, '+0X.8p+1025')
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1089 self.assertRaises(OverflowError, fromHex, '+0x0.8p1025')
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1090 self.assertRaises(OverflowError, fromHex, '-0x0.4p1026')
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1091 self.assertRaises(OverflowError, fromHex, '0X2p+1023')
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1092 self.assertRaises(OverflowError, fromHex, '0x2.p1023')
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1093 self.assertRaises(OverflowError, fromHex, '-0x2.0p+1023')
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1094 self.assertRaises(OverflowError, fromHex, '+0X4p+1022')
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1095 self.assertRaises(OverflowError, fromHex, '0x1.ffffffffffffffp+1023')
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1096 self.assertRaises(OverflowError, fromHex, '-0X1.fffffffffffff9p1023')
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1097 self.assertRaises(OverflowError, fromHex, '0X1.fffffffffffff8p1023')
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1098 self.assertRaises(OverflowError, fromHex, '+0x3.fffffffffffffp1022')
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1099 self.assertRaises(OverflowError, fromHex, '0x3fffffffffffffp+970')
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1100 self.assertRaises(OverflowError, fromHex, '0x10000000000000000p960')
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1101 self.assertRaises(OverflowError, fromHex, '-0Xffffffffffffffffp960')
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1102
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1103 # ...and those that round to +-max float
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1104 self.identical(fromHex('+0x1.fffffffffffffp+1023'), MAX)
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1105 self.identical(fromHex('-0X1.fffffffffffff7p1023'), -MAX)
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1106 self.identical(fromHex('0X1.fffffffffffff7fffffffffffffp1023'), MAX)
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1107
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1108 # zeros
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1109 self.identical(fromHex('0x0p0'), 0.0)
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1110 self.identical(fromHex('0x0p1000'), 0.0)
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1111 self.identical(fromHex('-0x0p1023'), -0.0)
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1112 self.identical(fromHex('0X0p1024'), 0.0)
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1113 self.identical(fromHex('-0x0p1025'), -0.0)
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1114 self.identical(fromHex('0X0p2000'), 0.0)
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1115 self.identical(fromHex('0x0p123456789123456789'), 0.0)
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1116 self.identical(fromHex('-0X0p-0'), -0.0)
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1117 self.identical(fromHex('-0X0p-1000'), -0.0)
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1118 self.identical(fromHex('0x0p-1023'), 0.0)
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1119 self.identical(fromHex('-0X0p-1024'), -0.0)
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1120 self.identical(fromHex('-0x0p-1025'), -0.0)
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1121 self.identical(fromHex('-0x0p-1072'), -0.0)
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1122 self.identical(fromHex('0X0p-1073'), 0.0)
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1123 self.identical(fromHex('-0x0p-1074'), -0.0)
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1124 self.identical(fromHex('0x0p-1075'), 0.0)
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1125 self.identical(fromHex('0X0p-1076'), 0.0)
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1126 self.identical(fromHex('-0X0p-2000'), -0.0)
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1127 self.identical(fromHex('-0x0p-123456789123456789'), -0.0)
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1128
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1129 # values that should underflow to 0
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1130 self.identical(fromHex('0X1p-1075'), 0.0)
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1131 self.identical(fromHex('-0X1p-1075'), -0.0)
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1132 self.identical(fromHex('-0x1p-123456789123456789'), -0.0)
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diff changeset
1133 self.identical(fromHex('0x1.00000000000000001p-1075'), TINY)
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diff changeset
1134 self.identical(fromHex('-0x1.1p-1075'), -TINY)
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1135 self.identical(fromHex('0x1.fffffffffffffffffp-1075'), TINY)
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1136
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1137 # check round-half-even is working correctly near 0 ...
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1138 self.identical(fromHex('0x1p-1076'), 0.0)
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diff changeset
1139 self.identical(fromHex('0X2p-1076'), 0.0)
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diff changeset
1140 self.identical(fromHex('0X3p-1076'), TINY)
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diff changeset
1141 self.identical(fromHex('0x4p-1076'), TINY)
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diff changeset
1142 self.identical(fromHex('0X5p-1076'), TINY)
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diff changeset
1143 self.identical(fromHex('0X6p-1076'), 2*TINY)
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diff changeset
1144 self.identical(fromHex('0x7p-1076'), 2*TINY)
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diff changeset
1145 self.identical(fromHex('0X8p-1076'), 2*TINY)
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diff changeset
1146 self.identical(fromHex('0X9p-1076'), 2*TINY)
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diff changeset
1147 self.identical(fromHex('0xap-1076'), 2*TINY)
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diff changeset
1148 self.identical(fromHex('0Xbp-1076'), 3*TINY)
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diff changeset
1149 self.identical(fromHex('0xcp-1076'), 3*TINY)
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diff changeset
1150 self.identical(fromHex('0Xdp-1076'), 3*TINY)
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diff changeset
1151 self.identical(fromHex('0Xep-1076'), 4*TINY)
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diff changeset
1152 self.identical(fromHex('0xfp-1076'), 4*TINY)
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diff changeset
1153 self.identical(fromHex('0x10p-1076'), 4*TINY)
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diff changeset
1154 self.identical(fromHex('-0x1p-1076'), -0.0)
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diff changeset
1155 self.identical(fromHex('-0X2p-1076'), -0.0)
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diff changeset
1156 self.identical(fromHex('-0x3p-1076'), -TINY)
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diff changeset
1157 self.identical(fromHex('-0X4p-1076'), -TINY)
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diff changeset
1158 self.identical(fromHex('-0x5p-1076'), -TINY)
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diff changeset
1159 self.identical(fromHex('-0x6p-1076'), -2*TINY)
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diff changeset
1160 self.identical(fromHex('-0X7p-1076'), -2*TINY)
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diff changeset
1161 self.identical(fromHex('-0X8p-1076'), -2*TINY)
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diff changeset
1162 self.identical(fromHex('-0X9p-1076'), -2*TINY)
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diff changeset
1163 self.identical(fromHex('-0Xap-1076'), -2*TINY)
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diff changeset
1164 self.identical(fromHex('-0xbp-1076'), -3*TINY)
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diff changeset
1165 self.identical(fromHex('-0xcp-1076'), -3*TINY)
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diff changeset
1166 self.identical(fromHex('-0Xdp-1076'), -3*TINY)
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diff changeset
1167 self.identical(fromHex('-0xep-1076'), -4*TINY)
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diff changeset
1168 self.identical(fromHex('-0Xfp-1076'), -4*TINY)
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diff changeset
1169 self.identical(fromHex('-0X10p-1076'), -4*TINY)
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diff changeset
1170
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1171 # ... and near MIN ...
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1172 self.identical(fromHex('0x0.ffffffffffffd6p-1022'), MIN-3*TINY)
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diff changeset
1173 self.identical(fromHex('0x0.ffffffffffffd8p-1022'), MIN-2*TINY)
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diff changeset
1174 self.identical(fromHex('0x0.ffffffffffffdap-1022'), MIN-2*TINY)
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diff changeset
1175 self.identical(fromHex('0x0.ffffffffffffdcp-1022'), MIN-2*TINY)
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diff changeset
1176 self.identical(fromHex('0x0.ffffffffffffdep-1022'), MIN-2*TINY)
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diff changeset
1177 self.identical(fromHex('0x0.ffffffffffffe0p-1022'), MIN-2*TINY)
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diff changeset
1178 self.identical(fromHex('0x0.ffffffffffffe2p-1022'), MIN-2*TINY)
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diff changeset
1179 self.identical(fromHex('0x0.ffffffffffffe4p-1022'), MIN-2*TINY)
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diff changeset
1180 self.identical(fromHex('0x0.ffffffffffffe6p-1022'), MIN-2*TINY)
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diff changeset
1181 self.identical(fromHex('0x0.ffffffffffffe8p-1022'), MIN-2*TINY)
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diff changeset
1182 self.identical(fromHex('0x0.ffffffffffffeap-1022'), MIN-TINY)
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diff changeset
1183 self.identical(fromHex('0x0.ffffffffffffecp-1022'), MIN-TINY)
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diff changeset
1184 self.identical(fromHex('0x0.ffffffffffffeep-1022'), MIN-TINY)
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diff changeset
1185 self.identical(fromHex('0x0.fffffffffffff0p-1022'), MIN-TINY)
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diff changeset
1186 self.identical(fromHex('0x0.fffffffffffff2p-1022'), MIN-TINY)
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diff changeset
1187 self.identical(fromHex('0x0.fffffffffffff4p-1022'), MIN-TINY)
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diff changeset
1188 self.identical(fromHex('0x0.fffffffffffff6p-1022'), MIN-TINY)
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diff changeset
1189 self.identical(fromHex('0x0.fffffffffffff8p-1022'), MIN)
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1190 self.identical(fromHex('0x0.fffffffffffffap-1022'), MIN)
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diff changeset
1191 self.identical(fromHex('0x0.fffffffffffffcp-1022'), MIN)
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diff changeset
1192 self.identical(fromHex('0x0.fffffffffffffep-1022'), MIN)
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diff changeset
1193 self.identical(fromHex('0x1.00000000000000p-1022'), MIN)
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diff changeset
1194 self.identical(fromHex('0x1.00000000000002p-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1195 self.identical(fromHex('0x1.00000000000004p-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1196 self.identical(fromHex('0x1.00000000000006p-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1197 self.identical(fromHex('0x1.00000000000008p-1022'), MIN)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1198 self.identical(fromHex('0x1.0000000000000ap-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1199 self.identical(fromHex('0x1.0000000000000cp-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1200 self.identical(fromHex('0x1.0000000000000ep-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1201 self.identical(fromHex('0x1.00000000000010p-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1202 self.identical(fromHex('0x1.00000000000012p-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1203 self.identical(fromHex('0x1.00000000000014p-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1204 self.identical(fromHex('0x1.00000000000016p-1022'), MIN+TINY)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1205 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
1206
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1207 # ... and near 1.0.
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1208 self.identical(fromHex('0x0.fffffffffffff0p0'), 1.0-EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1209 self.identical(fromHex('0x0.fffffffffffff1p0'), 1.0-EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1210 self.identical(fromHex('0X0.fffffffffffff2p0'), 1.0-EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1211 self.identical(fromHex('0x0.fffffffffffff3p0'), 1.0-EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1212 self.identical(fromHex('0X0.fffffffffffff4p0'), 1.0-EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1213 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
1214 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
1215 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
1216 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
1217 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
1218 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
1219 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
1220 self.identical(fromHex('0X0.fffffffffffffcp0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1221 self.identical(fromHex('0x0.fffffffffffffdp0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1222 self.identical(fromHex('0X0.fffffffffffffep0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1223 self.identical(fromHex('0x0.ffffffffffffffp0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1224 self.identical(fromHex('0X1.00000000000000p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1225 self.identical(fromHex('0X1.00000000000001p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1226 self.identical(fromHex('0x1.00000000000002p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1227 self.identical(fromHex('0X1.00000000000003p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1228 self.identical(fromHex('0x1.00000000000004p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1229 self.identical(fromHex('0X1.00000000000005p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1230 self.identical(fromHex('0X1.00000000000006p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1231 self.identical(fromHex('0X1.00000000000007p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1232 self.identical(fromHex('0x1.00000000000007ffffffffffffffffffffp0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1233 1.0)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1234 self.identical(fromHex('0x1.00000000000008p0'), 1.0)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1235 self.identical(fromHex('0x1.00000000000008000000000000000001p0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1236 1+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1237 self.identical(fromHex('0X1.00000000000009p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1238 self.identical(fromHex('0x1.0000000000000ap0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1239 self.identical(fromHex('0x1.0000000000000bp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1240 self.identical(fromHex('0X1.0000000000000cp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1241 self.identical(fromHex('0x1.0000000000000dp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1242 self.identical(fromHex('0x1.0000000000000ep0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1243 self.identical(fromHex('0X1.0000000000000fp0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1244 self.identical(fromHex('0x1.00000000000010p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1245 self.identical(fromHex('0X1.00000000000011p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1246 self.identical(fromHex('0x1.00000000000012p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1247 self.identical(fromHex('0X1.00000000000013p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1248 self.identical(fromHex('0X1.00000000000014p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1249 self.identical(fromHex('0x1.00000000000015p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1250 self.identical(fromHex('0x1.00000000000016p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1251 self.identical(fromHex('0X1.00000000000017p0'), 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1252 self.identical(fromHex('0x1.00000000000017ffffffffffffffffffffp0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1253 1.0+EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1254 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
1255 self.identical(fromHex('0X1.00000000000018000000000000000001p0'),
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1256 1.0+2*EPS)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1257 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
1258 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
1259 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
1260 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
1261 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
1262 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
1263 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
1264 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
1265
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1266 def test_roundtrip(self):
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1267 def roundtrip(x):
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1268 return fromHex(toHex(x))
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1269
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1270 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
1271 self.identical(x, roundtrip(x))
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1272 self.identical(-x, roundtrip(-x))
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1273
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1274 # 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
1275 import random
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1276 for i in range(10000):
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1277 e = random.randrange(-1200, 1200)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1278 m = random.random()
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1279 s = random.choice([1.0, -1.0])
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1280 try:
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1281 x = s*ldexp(m, e)
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1282 except OverflowError:
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1283 pass
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1284 else:
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1285 self.identical(x, fromHex(toHex(x)))
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Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1286
46477
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 45023
diff changeset
1287
34972
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1288 def test_main():
47201
9c930a32cebb #2621 rename test.test_support to test.support
Benjamin Peterson <benjamin@python.org>
parents: 46664
diff changeset
1289 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
1290 GeneralFloatCases,
34972
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1291 FormatFunctionsTestCase,
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1292 UnknownFormatTestCase,
42817
5355337709e1 Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents: 42775
diff changeset
1293 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
1294 FormatTestCase,
44349
4dc01402d78a Merged revisions 59541-59561 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44268
diff changeset
1295 ReprTestCase,
53218
d43d64252d36 Issue #1869 (and 4707, 5118, 5473, 1456775): use the new
Mark Dickinson <dickinsm@gmail.com>
parents: 53209
diff changeset
1296 RoundTestCase,
44349
4dc01402d78a Merged revisions 59541-59561 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44268
diff changeset
1297 InfNanTest,
48497
2bb866d282ba Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents: 47322
diff changeset
1298 HexFloatTestCase,
44268
7ae604b3533b Merged revisions 59450-59464 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents: 44260
diff changeset
1299 )
34972
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1300
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1301 if __name__ == '__main__':
1dd8a0d64432 This is my patch:
Michael W. Hudson <mwh@python.net>
parents:
diff changeset
1302 test_main()