Mercurial > cpython-lru_cache-weakref
annotate Lib/test/test_float.py @ 57114:d3a81051663b
importlib.test.source.util referenced variables in the 'finally' part of a
try/finally which may not have been set.
| author | Brett Cannon <bcannon@gmail.com> |
|---|---|
| date | Thu, 05 Nov 2009 01:17:22 +0000 |
| parents | e1dca972fa35 |
| children | b7fbef077eae |
| rev | line source |
|---|---|
| 34972 | 1 |
| 2 import unittest, struct | |
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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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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 |
| 34972 | 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 #locate file with float format test values |
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15 test_dir = os.path.dirname(__file__) or os.curdir |
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16 format_testfile = os.path.join(test_dir, 'formatfloat_testcases.txt') |
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17 |
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18 class GeneralFloatCases(unittest.TestCase): |
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19 |
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20 def test_float(self): |
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21 self.assertEqual(float(3.14), 3.14) |
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22 self.assertEqual(float(314), 314.0) |
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23 self.assertEqual(float(" 3.14 "), 3.14) |
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24 self.assertEqual(float(b" 3.14 "), 3.14) |
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25 self.assertRaises(ValueError, float, " 0x3.1 ") |
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26 self.assertRaises(ValueError, float, " -0x3.p-1 ") |
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27 self.assertRaises(ValueError, float, " +0x3.p-1 ") |
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28 self.assertRaises(ValueError, float, "++3.14") |
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29 self.assertRaises(ValueError, float, "+-3.14") |
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30 self.assertRaises(ValueError, float, "-+3.14") |
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31 self.assertRaises(ValueError, float, "--3.14") |
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32 self.assertRaises(ValueError, float, ".nan") |
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33 self.assertRaises(ValueError, float, "+.inf") |
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34 self.assertRaises(ValueError, float, ".") |
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35 self.assertRaises(ValueError, float, "-.") |
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36 self.assertEqual(float(b" \u0663.\u0661\u0664 ".decode('raw-unicode-escape')), 3.14) |
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37 # extra long strings should not be a problem |
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38 float(b'.' + b'1'*1000) |
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39 float('.' + '1'*1000) |
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40 |
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41 @support.run_with_locale('LC_NUMERIC', 'fr_FR', 'de_DE') |
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42 def test_float_with_comma(self): |
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43 # set locale to something that doesn't use '.' for the decimal point |
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44 # float must not accept the locale specific decimal point but |
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45 # it still has to accept the normal python syntac |
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46 import locale |
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47 if not locale.localeconv()['decimal_point'] == ',': |
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48 return |
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49 |
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50 self.assertEqual(float(" 3.14 "), 3.14) |
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51 self.assertEqual(float("+3.14 "), 3.14) |
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52 self.assertEqual(float("-3.14 "), -3.14) |
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53 self.assertEqual(float(".14 "), .14) |
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54 self.assertEqual(float("3. "), 3.0) |
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55 self.assertEqual(float("3.e3 "), 3000.0) |
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56 self.assertEqual(float("3.2e3 "), 3200.0) |
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57 self.assertEqual(float("2.5e-1 "), 0.25) |
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58 self.assertEqual(float("5e-1"), 0.5) |
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59 self.assertRaises(ValueError, float, " 3,14 ") |
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60 self.assertRaises(ValueError, float, " +3,14 ") |
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61 self.assertRaises(ValueError, float, " -3,14 ") |
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62 self.assertRaises(ValueError, float, " 0x3.1 ") |
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63 self.assertRaises(ValueError, float, " -0x3.p-1 ") |
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64 self.assertRaises(ValueError, float, " +0x3.p-1 ") |
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65 self.assertEqual(float(" 25.e-1 "), 2.5) |
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66 self.assertEqual(support.fcmp(float(" .25e-1 "), .025), 0) |
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67 |
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68 def test_floatconversion(self): |
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69 # Make sure that calls to __float__() work properly |
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70 class Foo0: |
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71 def __float__(self): |
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72 return 42. |
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73 |
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74 class Foo1(object): |
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75 def __float__(self): |
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76 return 42. |
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77 |
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78 class Foo2(float): |
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79 def __float__(self): |
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80 return 42. |
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81 |
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82 class Foo3(float): |
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83 def __new__(cls, value=0.): |
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84 return float.__new__(cls, 2*value) |
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86 def __float__(self): |
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87 return self |
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89 class Foo4(float): |
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90 def __float__(self): |
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91 return 42 |
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93 # Issue 5759: __float__ not called on str subclasses (though it is on |
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94 # unicode subclasses). |
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95 class FooStr(str): |
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96 def __float__(self): |
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97 return float(str(self)) + 1 |
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98 |
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99 self.assertAlmostEqual(float(Foo0()), 42.) |
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100 self.assertAlmostEqual(float(Foo1()), 42.) |
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101 self.assertAlmostEqual(float(Foo2()), 42.) |
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102 self.assertAlmostEqual(float(Foo3(21)), 42.) |
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103 self.assertRaises(TypeError, float, Foo4(42)) |
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104 self.assertAlmostEqual(float(FooStr('8')), 9.) |
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105 |
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106 def test_floatasratio(self): |
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107 for f, ratio in [ |
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108 (0.875, (7, 8)), |
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109 (-0.875, (-7, 8)), |
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110 (0.0, (0, 1)), |
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111 (11.5, (23, 2)), |
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112 ]: |
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113 self.assertEqual(f.as_integer_ratio(), ratio) |
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114 |
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115 for i in range(10000): |
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116 f = random.random() |
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117 f *= 10 ** random.randint(-100, 100) |
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118 n, d = f.as_integer_ratio() |
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119 self.assertEqual(float(n).__truediv__(d), f) |
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120 |
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121 R = fractions.Fraction |
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122 self.assertEqual(R(0, 1), |
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123 R(*float(0.0).as_integer_ratio())) |
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124 self.assertEqual(R(5, 2), |
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125 R(*float(2.5).as_integer_ratio())) |
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126 self.assertEqual(R(1, 2), |
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127 R(*float(0.5).as_integer_ratio())) |
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128 self.assertEqual(R(4728779608739021, 2251799813685248), |
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129 R(*float(2.1).as_integer_ratio())) |
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130 self.assertEqual(R(-4728779608739021, 2251799813685248), |
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131 R(*float(-2.1).as_integer_ratio())) |
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132 self.assertEqual(R(-2100, 1), |
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133 R(*float(-2100.0).as_integer_ratio())) |
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134 |
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135 self.assertRaises(OverflowError, float('inf').as_integer_ratio) |
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136 self.assertRaises(OverflowError, float('-inf').as_integer_ratio) |
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137 self.assertRaises(ValueError, float('nan').as_integer_ratio) |
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138 |
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139 def test_float_containment(self): |
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140 floats = (INF, -INF, 0.0, 1.0, NAN) |
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141 for f in floats: |
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142 self.assertTrue(f in [f], "'%r' not in []" % f) |
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143 self.assertTrue(f in (f,), "'%r' not in ()" % f) |
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144 self.assertTrue(f in {f}, "'%r' not in set()" % f) |
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145 self.assertTrue(f in {f: None}, "'%r' not in {}" % f) |
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146 self.assertEqual([f].count(f), 1, "[].count('%r') != 1" % f) |
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147 self.assertTrue(f in floats, "'%r' not in container" % f) |
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148 |
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149 for f in floats: |
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150 # nonidentical containers, same type, same contents |
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151 self.assertTrue([f] == [f], "[%r] != [%r]" % (f, f)) |
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152 self.assertTrue((f,) == (f,), "(%r,) != (%r,)" % (f, f)) |
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153 self.assertTrue({f} == {f}, "{%r} != {%r}" % (f, f)) |
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154 self.assertTrue({f : None} == {f: None}, "{%r : None} != " |
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155 "{%r : None}" % (f, f)) |
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156 |
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157 # identical containers |
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158 l, t, s, d = [f], (f,), {f}, {f: None} |
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159 self.assertTrue(l == l, "[%r] not equal to itself" % f) |
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160 self.assertTrue(t == t, "(%r,) not equal to itself" % f) |
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161 self.assertTrue(s == s, "{%r} not equal to itself" % f) |
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162 self.assertTrue(d == d, "{%r : None} not equal to itself" % f) |
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163 |
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164 |
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165 |
| 34972 | 166 class FormatFunctionsTestCase(unittest.TestCase): |
| 167 | |
| 168 def setUp(self): | |
| 169 self.save_formats = {'double':float.__getformat__('double'), | |
| 170 'float':float.__getformat__('float')} | |
| 171 | |
| 172 def tearDown(self): | |
| 173 float.__setformat__('double', self.save_formats['double']) | |
| 174 float.__setformat__('float', self.save_formats['float']) | |
| 175 | |
| 176 def test_getformat(self): | |
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177 self.assertTrue(float.__getformat__('double') in |
| 34972 | 178 ['unknown', 'IEEE, big-endian', 'IEEE, little-endian']) |
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179 self.assertTrue(float.__getformat__('float') in |
| 34972 | 180 ['unknown', 'IEEE, big-endian', 'IEEE, little-endian']) |
| 181 self.assertRaises(ValueError, float.__getformat__, 'chicken') | |
| 182 self.assertRaises(TypeError, float.__getformat__, 1) | |
| 183 | |
| 184 def test_setformat(self): | |
| 185 for t in 'double', 'float': | |
| 186 float.__setformat__(t, 'unknown') | |
| 187 if self.save_formats[t] == 'IEEE, big-endian': | |
| 188 self.assertRaises(ValueError, float.__setformat__, | |
| 189 t, 'IEEE, little-endian') | |
| 190 elif self.save_formats[t] == 'IEEE, little-endian': | |
| 191 self.assertRaises(ValueError, float.__setformat__, | |
| 192 t, 'IEEE, big-endian') | |
| 193 else: | |
| 194 self.assertRaises(ValueError, float.__setformat__, | |
| 195 t, 'IEEE, big-endian') | |
| 196 self.assertRaises(ValueError, float.__setformat__, | |
| 197 t, 'IEEE, little-endian') | |
| 198 self.assertRaises(ValueError, float.__setformat__, | |
| 199 t, 'chicken') | |
| 200 self.assertRaises(ValueError, float.__setformat__, | |
| 201 'chicken', 'unknown') | |
| 202 | |
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203 BE_DOUBLE_INF = b'\x7f\xf0\x00\x00\x00\x00\x00\x00' |
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204 LE_DOUBLE_INF = bytes(reversed(BE_DOUBLE_INF)) |
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205 BE_DOUBLE_NAN = b'\x7f\xf8\x00\x00\x00\x00\x00\x00' |
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206 LE_DOUBLE_NAN = bytes(reversed(BE_DOUBLE_NAN)) |
| 34972 | 207 |
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208 BE_FLOAT_INF = b'\x7f\x80\x00\x00' |
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209 LE_FLOAT_INF = bytes(reversed(BE_FLOAT_INF)) |
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210 BE_FLOAT_NAN = b'\x7f\xc0\x00\x00' |
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211 LE_FLOAT_NAN = bytes(reversed(BE_FLOAT_NAN)) |
| 34972 | 212 |
| 213 # on non-IEEE platforms, attempting to unpack a bit pattern | |
| 214 # representing an infinity or a NaN should raise an exception. | |
| 215 | |
| 216 class UnknownFormatTestCase(unittest.TestCase): | |
| 217 def setUp(self): | |
| 218 self.save_formats = {'double':float.__getformat__('double'), | |
| 219 'float':float.__getformat__('float')} | |
| 220 float.__setformat__('double', 'unknown') | |
| 221 float.__setformat__('float', 'unknown') | |
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222 |
| 34972 | 223 def tearDown(self): |
| 224 float.__setformat__('double', self.save_formats['double']) | |
| 225 float.__setformat__('float', self.save_formats['float']) | |
| 226 | |
| 227 def test_double_specials_dont_unpack(self): | |
| 228 for fmt, data in [('>d', BE_DOUBLE_INF), | |
| 229 ('>d', BE_DOUBLE_NAN), | |
| 230 ('<d', LE_DOUBLE_INF), | |
| 231 ('<d', LE_DOUBLE_NAN)]: | |
| 232 self.assertRaises(ValueError, struct.unpack, fmt, data) | |
| 233 | |
| 234 def test_float_specials_dont_unpack(self): | |
| 235 for fmt, data in [('>f', BE_FLOAT_INF), | |
| 236 ('>f', BE_FLOAT_NAN), | |
| 237 ('<f', LE_FLOAT_INF), | |
| 238 ('<f', LE_FLOAT_NAN)]: | |
| 239 self.assertRaises(ValueError, struct.unpack, fmt, data) | |
| 240 | |
| 241 | |
| 242 # on an IEEE platform, all we guarantee is that bit patterns | |
| 243 # representing infinities or NaNs do not raise an exception; all else | |
| 244 # is accident (today). | |
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245 # let's also try to guarantee that -0.0 and 0.0 don't get confused. |
| 34972 | 246 |
| 247 class IEEEFormatTestCase(unittest.TestCase): | |
| 248 if float.__getformat__("double").startswith("IEEE"): | |
| 249 def test_double_specials_do_unpack(self): | |
| 250 for fmt, data in [('>d', BE_DOUBLE_INF), | |
| 251 ('>d', BE_DOUBLE_NAN), | |
| 252 ('<d', LE_DOUBLE_INF), | |
| 253 ('<d', LE_DOUBLE_NAN)]: | |
| 254 struct.unpack(fmt, data) | |
| 255 | |
| 256 if float.__getformat__("float").startswith("IEEE"): | |
| 257 def test_float_specials_do_unpack(self): | |
| 258 for fmt, data in [('>f', BE_FLOAT_INF), | |
| 259 ('>f', BE_FLOAT_NAN), | |
| 260 ('<f', LE_FLOAT_INF), | |
| 261 ('<f', LE_FLOAT_NAN)]: | |
| 262 struct.unpack(fmt, data) | |
| 263 | |
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264 if float.__getformat__("double").startswith("IEEE"): |
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265 def test_negative_zero(self): |
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266 import math |
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267 def pos_pos(): |
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268 return 0.0, math.atan2(0.0, -1) |
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269 def pos_neg(): |
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270 return 0.0, math.atan2(-0.0, -1) |
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271 def neg_pos(): |
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272 return -0.0, math.atan2(0.0, -1) |
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273 def neg_neg(): |
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274 return -0.0, math.atan2(-0.0, -1) |
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275 self.assertEquals(pos_pos(), neg_pos()) |
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276 self.assertEquals(pos_neg(), neg_neg()) |
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277 |
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278 class FormatTestCase(unittest.TestCase): |
| 43111 | 279 def test_format(self): |
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280 # these should be rewritten to use both format(x, spec) and |
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281 # x.__format__(spec) |
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282 |
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283 self.assertEqual(format(0.0, 'f'), '0.000000') |
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284 |
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285 # the default is 'g', except for empty format spec |
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286 self.assertEqual(format(0.0, ''), '0.0') |
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287 self.assertEqual(format(0.01, ''), '0.01') |
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288 self.assertEqual(format(0.01, 'g'), '0.01') |
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289 |
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290 # empty presentation type should format in the same way as str |
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291 # (issue 5920) |
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292 x = 100/7. |
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293 self.assertEqual(format(x, ''), str(x)) |
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294 self.assertEqual(format(x, '-'), str(x)) |
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295 self.assertEqual(format(x, '>'), str(x)) |
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296 self.assertEqual(format(x, '2'), str(x)) |
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297 |
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298 self.assertEqual(format(1.0, 'f'), '1.000000') |
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299 |
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300 self.assertEqual(format(-1.0, 'f'), '-1.000000') |
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301 |
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302 self.assertEqual(format( 1.0, ' f'), ' 1.000000') |
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303 self.assertEqual(format(-1.0, ' f'), '-1.000000') |
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304 self.assertEqual(format( 1.0, '+f'), '+1.000000') |
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305 self.assertEqual(format(-1.0, '+f'), '-1.000000') |
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306 |
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307 # % formatting |
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308 self.assertEqual(format(-1.0, '%'), '-100.000000%') |
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309 |
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310 # conversion to string should fail |
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311 self.assertRaises(ValueError, format, 3.0, "s") |
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312 |
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313 # other format specifiers shouldn't work on floats, |
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314 # in particular int specifiers |
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315 for format_spec in ([chr(x) for x in range(ord('a'), ord('z')+1)] + |
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316 [chr(x) for x in range(ord('A'), ord('Z')+1)]): |
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317 if not format_spec in 'eEfFgGn%': |
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318 self.assertRaises(ValueError, format, 0.0, format_spec) |
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319 self.assertRaises(ValueError, format, 1.0, format_spec) |
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320 self.assertRaises(ValueError, format, -1.0, format_spec) |
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321 self.assertRaises(ValueError, format, 1e100, format_spec) |
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322 self.assertRaises(ValueError, format, -1e100, format_spec) |
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323 self.assertRaises(ValueError, format, 1e-100, format_spec) |
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324 self.assertRaises(ValueError, format, -1e-100, format_spec) |
| 34972 | 325 |
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326 # issue 3382 |
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327 self.assertEqual(format(NAN, 'f'), 'nan') |
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328 self.assertEqual(format(NAN, 'F'), 'NAN') |
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329 self.assertEqual(format(INF, 'f'), 'inf') |
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330 self.assertEqual(format(INF, 'F'), 'INF') |
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331 |
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332 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"), |
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333 "test requires IEEE 754 doubles") |
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334 def test_format_testfile(self): |
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335 for line in open(format_testfile): |
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336 if line.startswith('--'): |
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337 continue |
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338 line = line.strip() |
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339 if not line: |
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340 continue |
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341 |
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342 lhs, rhs = map(str.strip, line.split('->')) |
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343 fmt, arg = lhs.split() |
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344 self.assertEqual(fmt % float(arg), rhs) |
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345 self.assertEqual(fmt % -float(arg), '-' + rhs) |
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346 |
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347 def test_issue5864(self): |
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348 self.assertEquals(format(123.456, '.4'), '123.5') |
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349 self.assertEquals(format(1234.56, '.4'), '1.235e+03') |
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350 self.assertEquals(format(12345.6, '.4'), '1.235e+04') |
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351 |
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352 class ReprTestCase(unittest.TestCase): |
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353 def test_repr(self): |
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354 floats_file = open(os.path.join(os.path.split(__file__)[0], |
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355 'floating_points.txt')) |
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356 for line in floats_file: |
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357 line = line.strip() |
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358 if not line or line.startswith('#'): |
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359 continue |
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360 v = eval(line) |
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361 self.assertEqual(v, eval(repr(v))) |
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362 floats_file.close() |
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363 |
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364 @unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short', |
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365 "applies only when using short float repr style") |
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366 def test_short_repr(self): |
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367 # test short float repr introduced in Python 3.1. One aspect |
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368 # of this repr is that we get some degree of str -> float -> |
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369 # str roundtripping. In particular, for any numeric string |
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370 # containing 15 or fewer significant digits, those exact same |
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371 # digits (modulo trailing zeros) should appear in the output. |
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372 # No more repr(0.03) -> "0.029999999999999999"! |
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373 |
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374 test_strings = [ |
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375 # output always includes *either* a decimal point and at |
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376 # least one digit after that point, or an exponent. |
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377 '0.0', |
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378 '1.0', |
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379 '0.01', |
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380 '0.02', |
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381 '0.03', |
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382 '0.04', |
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383 '0.05', |
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384 '1.23456789', |
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385 '10.0', |
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386 '100.0', |
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387 # values >= 1e16 get an exponent... |
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388 '1000000000000000.0', |
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389 '9999999999999990.0', |
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390 '1e+16', |
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391 '1e+17', |
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392 # ... and so do values < 1e-4 |
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393 '0.001', |
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394 '0.001001', |
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395 '0.00010000000000001', |
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396 '0.0001', |
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397 '9.999999999999e-05', |
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398 '1e-05', |
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399 # values designed to provoke failure if the FPU rounding |
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400 # precision isn't set correctly |
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401 '8.72293771110361e+25', |
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402 '7.47005307342313e+26', |
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403 '2.86438000439698e+28', |
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404 '8.89142905246179e+28', |
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405 '3.08578087079232e+35', |
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406 ] |
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407 |
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408 for s in test_strings: |
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409 negs = '-'+s |
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410 self.assertEqual(s, repr(float(s))) |
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411 self.assertEqual(negs, repr(float(negs))) |
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412 |
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413 class RoundTestCase(unittest.TestCase): |
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414 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"), |
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415 "test requires IEEE 754 doubles") |
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416 def test_inf_nan(self): |
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417 self.assertRaises(OverflowError, round, INF) |
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418 self.assertRaises(OverflowError, round, -INF) |
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419 self.assertRaises(ValueError, round, NAN) |
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420 |
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421 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"), |
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422 "test requires IEEE 754 doubles") |
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423 def test_large_n(self): |
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424 for n in [324, 325, 400, 2**31-1, 2**31, 2**32, 2**100]: |
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425 self.assertEqual(round(123.456, n), 123.456) |
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426 self.assertEqual(round(-123.456, n), -123.456) |
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427 self.assertEqual(round(1e300, n), 1e300) |
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428 self.assertEqual(round(1e-320, n), 1e-320) |
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429 self.assertEqual(round(1e150, 300), 1e150) |
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430 self.assertEqual(round(1e300, 307), 1e300) |
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431 self.assertEqual(round(-3.1415, 308), -3.1415) |
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432 self.assertEqual(round(1e150, 309), 1e150) |
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433 self.assertEqual(round(1.4e-315, 315), 1e-315) |
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434 |
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435 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"), |
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436 "test requires IEEE 754 doubles") |
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437 def test_small_n(self): |
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438 for n in [-308, -309, -400, 1-2**31, -2**31, -2**31-1, -2**100]: |
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439 self.assertEqual(round(123.456, n), 0.0) |
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440 self.assertEqual(round(-123.456, n), -0.0) |
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441 self.assertEqual(round(1e300, n), 0.0) |
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442 self.assertEqual(round(1e-320, n), 0.0) |
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443 |
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444 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"), |
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445 "test requires IEEE 754 doubles") |
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446 def test_overflow(self): |
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447 self.assertRaises(OverflowError, round, 1.6e308, -308) |
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448 self.assertRaises(OverflowError, round, -1.7e308, -308) |
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449 |
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450 @unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short', |
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451 "applies only when using short float repr style") |
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452 def test_previous_round_bugs(self): |
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453 # particular cases that have occurred in bug reports |
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454 self.assertEqual(round(562949953421312.5, 1), |
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455 562949953421312.5) |
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456 self.assertEqual(round(56294995342131.5, 3), |
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457 56294995342131.5) |
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458 # round-half-even |
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459 self.assertEqual(round(25.0, -1), 20.0) |
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460 self.assertEqual(round(35.0, -1), 40.0) |
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461 self.assertEqual(round(45.0, -1), 40.0) |
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462 self.assertEqual(round(55.0, -1), 60.0) |
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463 self.assertEqual(round(65.0, -1), 60.0) |
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464 self.assertEqual(round(75.0, -1), 80.0) |
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465 self.assertEqual(round(85.0, -1), 80.0) |
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466 self.assertEqual(round(95.0, -1), 100.0) |
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467 |
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468 @unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short', |
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469 "applies only when using short float repr style") |
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470 def test_matches_float_format(self): |
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471 # round should give the same results as float formatting |
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472 for i in range(500): |
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473 x = i/1000. |
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474 self.assertEqual(float(format(x, '.0f')), round(x, 0)) |
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475 self.assertEqual(float(format(x, '.1f')), round(x, 1)) |
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476 self.assertEqual(float(format(x, '.2f')), round(x, 2)) |
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477 self.assertEqual(float(format(x, '.3f')), round(x, 3)) |
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478 |
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479 for i in range(5, 5000, 10): |
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480 x = i/1000. |
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481 self.assertEqual(float(format(x, '.0f')), round(x, 0)) |
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482 self.assertEqual(float(format(x, '.1f')), round(x, 1)) |
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483 self.assertEqual(float(format(x, '.2f')), round(x, 2)) |
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484 self.assertEqual(float(format(x, '.3f')), round(x, 3)) |
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485 |
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486 for i in range(500): |
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487 x = random.random() |
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488 self.assertEqual(float(format(x, '.0f')), round(x, 0)) |
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489 self.assertEqual(float(format(x, '.1f')), round(x, 1)) |
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490 self.assertEqual(float(format(x, '.2f')), round(x, 2)) |
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491 self.assertEqual(float(format(x, '.3f')), round(x, 3)) |
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492 |
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493 |
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494 |
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495 # Beginning with Python 2.6 float has cross platform compatible |
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496 # ways to create and represent inf and nan |
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497 class InfNanTest(unittest.TestCase): |
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498 def test_inf_from_str(self): |
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499 self.assertTrue(isinf(float("inf"))) |
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500 self.assertTrue(isinf(float("+inf"))) |
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501 self.assertTrue(isinf(float("-inf"))) |
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502 self.assertTrue(isinf(float("infinity"))) |
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503 self.assertTrue(isinf(float("+infinity"))) |
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504 self.assertTrue(isinf(float("-infinity"))) |
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505 |
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506 self.assertEqual(repr(float("inf")), "inf") |
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507 self.assertEqual(repr(float("+inf")), "inf") |
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508 self.assertEqual(repr(float("-inf")), "-inf") |
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509 self.assertEqual(repr(float("infinity")), "inf") |
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510 self.assertEqual(repr(float("+infinity")), "inf") |
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511 self.assertEqual(repr(float("-infinity")), "-inf") |
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512 |
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513 self.assertEqual(repr(float("INF")), "inf") |
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514 self.assertEqual(repr(float("+Inf")), "inf") |
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515 self.assertEqual(repr(float("-iNF")), "-inf") |
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516 self.assertEqual(repr(float("Infinity")), "inf") |
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517 self.assertEqual(repr(float("+iNfInItY")), "inf") |
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518 self.assertEqual(repr(float("-INFINITY")), "-inf") |
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519 |
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520 self.assertEqual(str(float("inf")), "inf") |
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521 self.assertEqual(str(float("+inf")), "inf") |
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522 self.assertEqual(str(float("-inf")), "-inf") |
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523 self.assertEqual(str(float("infinity")), "inf") |
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524 self.assertEqual(str(float("+infinity")), "inf") |
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525 self.assertEqual(str(float("-infinity")), "-inf") |
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526 |
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527 self.assertRaises(ValueError, float, "info") |
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528 self.assertRaises(ValueError, float, "+info") |
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529 self.assertRaises(ValueError, float, "-info") |
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530 self.assertRaises(ValueError, float, "in") |
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531 self.assertRaises(ValueError, float, "+in") |
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532 self.assertRaises(ValueError, float, "-in") |
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533 self.assertRaises(ValueError, float, "infinit") |
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534 self.assertRaises(ValueError, float, "+Infin") |
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535 self.assertRaises(ValueError, float, "-INFI") |
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536 self.assertRaises(ValueError, float, "infinitys") |
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538 self.assertRaises(ValueError, float, "++Inf") |
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539 self.assertRaises(ValueError, float, "-+inf") |
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540 self.assertRaises(ValueError, float, "+-infinity") |
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541 self.assertRaises(ValueError, float, "--Infinity") |
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543 def test_inf_as_str(self): |
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544 self.assertEqual(repr(1e300 * 1e300), "inf") |
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545 self.assertEqual(repr(-1e300 * 1e300), "-inf") |
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546 |
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547 self.assertEqual(str(1e300 * 1e300), "inf") |
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548 self.assertEqual(str(-1e300 * 1e300), "-inf") |
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549 |
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550 def test_nan_from_str(self): |
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551 self.assertTrue(isnan(float("nan"))) |
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552 self.assertTrue(isnan(float("+nan"))) |
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553 self.assertTrue(isnan(float("-nan"))) |
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554 |
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555 self.assertEqual(repr(float("nan")), "nan") |
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556 self.assertEqual(repr(float("+nan")), "nan") |
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557 self.assertEqual(repr(float("-nan")), "nan") |
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558 |
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559 self.assertEqual(repr(float("NAN")), "nan") |
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560 self.assertEqual(repr(float("+NAn")), "nan") |
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561 self.assertEqual(repr(float("-NaN")), "nan") |
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562 |
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563 self.assertEqual(str(float("nan")), "nan") |
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564 self.assertEqual(str(float("+nan")), "nan") |
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565 self.assertEqual(str(float("-nan")), "nan") |
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566 |
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567 self.assertRaises(ValueError, float, "nana") |
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568 self.assertRaises(ValueError, float, "+nana") |
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569 self.assertRaises(ValueError, float, "-nana") |
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570 self.assertRaises(ValueError, float, "na") |
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571 self.assertRaises(ValueError, float, "+na") |
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572 self.assertRaises(ValueError, float, "-na") |
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573 |
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574 self.assertRaises(ValueError, float, "++nan") |
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575 self.assertRaises(ValueError, float, "-+NAN") |
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576 self.assertRaises(ValueError, float, "+-NaN") |
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577 self.assertRaises(ValueError, float, "--nAn") |
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578 |
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579 def test_nan_as_str(self): |
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580 self.assertEqual(repr(1e300 * 1e300 * 0), "nan") |
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581 self.assertEqual(repr(-1e300 * 1e300 * 0), "nan") |
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582 |
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583 self.assertEqual(str(1e300 * 1e300 * 0), "nan") |
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584 self.assertEqual(str(-1e300 * 1e300 * 0), "nan") |
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585 |
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586 def notest_float_nan(self): |
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587 self.assertTrue(NAN.is_nan()) |
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588 self.assertFalse(INF.is_nan()) |
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589 self.assertFalse((0.).is_nan()) |
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591 def notest_float_inf(self): |
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592 self.assertTrue(INF.is_inf()) |
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593 self.assertFalse(NAN.is_inf()) |
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594 self.assertFalse((0.).is_inf()) |
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596 fromHex = float.fromhex |
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597 toHex = float.hex |
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598 class HexFloatTestCase(unittest.TestCase): |
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599 MAX = fromHex('0x.fffffffffffff8p+1024') # max normal |
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600 MIN = fromHex('0x1p-1022') # min normal |
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601 TINY = fromHex('0x0.0000000000001p-1022') # min subnormal |
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602 EPS = fromHex('0x0.0000000000001p0') # diff between 1.0 and next float up |
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603 |
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604 def identical(self, x, y): |
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605 # check that floats x and y are identical, or that both |
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606 # are NaNs |
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607 if isnan(x) or isnan(y): |
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608 if isnan(x) == isnan(y): |
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609 return |
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610 elif x == y and (x != 0.0 or copysign(1.0, x) == copysign(1.0, y)): |
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611 return |
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612 self.fail('%r not identical to %r' % (x, y)) |
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613 |
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614 def test_ends(self): |
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615 self.identical(self.MIN, ldexp(1.0, -1022)) |
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616 self.identical(self.TINY, ldexp(1.0, -1074)) |
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617 self.identical(self.EPS, ldexp(1.0, -52)) |
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618 self.identical(self.MAX, 2.*(ldexp(1.0, 1023) - ldexp(1.0, 970))) |
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619 |
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620 def test_invalid_inputs(self): |
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621 invalid_inputs = [ |
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622 'infi', # misspelt infinities and nans |
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623 '-Infinit', |
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624 '++inf', |
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625 '-+Inf', |
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626 '--nan', |
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627 '+-NaN', |
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628 'snan', |
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629 'NaNs', |
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630 'nna', |
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631 'an', |
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632 'nf', |
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633 'nfinity', |
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634 'inity', |
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635 'iinity', |
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636 '0xnan', |
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637 '', |
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638 ' ', |
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639 'x1.0p0', |
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640 '0xX1.0p0', |
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641 '+ 0x1.0p0', # internal whitespace |
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642 '- 0x1.0p0', |
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643 '0 x1.0p0', |
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644 '0x 1.0p0', |
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645 '0x1 2.0p0', |
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646 '+0x1 .0p0', |
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647 '0x1. 0p0', |
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648 '-0x1.0 1p0', |
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649 '-0x1.0 p0', |
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650 '+0x1.0p +0', |
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651 '0x1.0p -0', |
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652 '0x1.0p 0', |
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653 '+0x1.0p+ 0', |
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654 '-0x1.0p- 0', |
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655 '++0x1.0p-0', # double signs |
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656 '--0x1.0p0', |
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657 '+-0x1.0p+0', |
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658 '-+0x1.0p0', |
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659 '0x1.0p++0', |
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660 '+0x1.0p+-0', |
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661 '-0x1.0p-+0', |
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662 '0x1.0p--0', |
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663 '0x1.0.p0', |
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664 '0x.p0', # no hex digits before or after point |
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665 '0x1,p0', # wrong decimal point character |
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666 '0x1pa', |
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667 '0x1p\uff10', # fullwidth Unicode digits |
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668 '\uff10x1p0', |
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669 '0x\uff11p0', |
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670 '0x1.\uff10p0', |
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671 '0x1p0 \n 0x2p0', |
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672 '0x1p0\0 0x1p0', # embedded null byte is not end of string |
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673 ] |
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674 for x in invalid_inputs: |
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675 try: |
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676 result = fromHex(x) |
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677 except ValueError: |
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678 pass |
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679 else: |
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680 self.fail('Expected float.fromhex(%r) to raise ValueError; ' |
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681 'got %r instead' % (x, result)) |
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682 |
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683 |
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54001
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684 def test_whitespace(self): |
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685 value_pairs = [ |
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686 ('inf', INF), |
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687 ('-Infinity', -INF), |
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688 ('nan', NAN), |
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689 ('1.0', 1.0), |
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690 ('-0x.2', -0.125), |
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691 ('-0.0', -0.0) |
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692 ] |
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693 whitespace = [ |
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694 '', |
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695 ' ', |
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696 '\t', |
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697 '\n', |
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698 '\n \t', |
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699 '\f', |
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700 '\v', |
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701 '\r' |
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702 ] |
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703 for inp, expected in value_pairs: |
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704 for lead in whitespace: |
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705 for trail in whitespace: |
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706 got = fromHex(lead + inp + trail) |
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707 self.identical(got, expected) |
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708 |
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709 |
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710 def test_from_hex(self): |
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711 MIN = self.MIN; |
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712 MAX = self.MAX; |
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713 TINY = self.TINY; |
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714 EPS = self.EPS; |
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715 |
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716 # two spellings of infinity, with optional signs; case-insensitive |
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717 self.identical(fromHex('inf'), INF) |
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718 self.identical(fromHex('+Inf'), INF) |
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719 self.identical(fromHex('-INF'), -INF) |
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720 self.identical(fromHex('iNf'), INF) |
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721 self.identical(fromHex('Infinity'), INF) |
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722 self.identical(fromHex('+INFINITY'), INF) |
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723 self.identical(fromHex('-infinity'), -INF) |
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724 self.identical(fromHex('-iNFiNitY'), -INF) |
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725 |
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726 # nans with optional sign; case insensitive |
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727 self.identical(fromHex('nan'), NAN) |
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728 self.identical(fromHex('+NaN'), NAN) |
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729 self.identical(fromHex('-NaN'), NAN) |
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730 self.identical(fromHex('-nAN'), NAN) |
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731 |
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732 # variations in input format |
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733 self.identical(fromHex('1'), 1.0) |
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734 self.identical(fromHex('+1'), 1.0) |
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735 self.identical(fromHex('1.'), 1.0) |
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736 self.identical(fromHex('1.0'), 1.0) |
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737 self.identical(fromHex('1.0p0'), 1.0) |
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738 self.identical(fromHex('01'), 1.0) |
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739 self.identical(fromHex('01.'), 1.0) |
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740 self.identical(fromHex('0x1'), 1.0) |
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741 self.identical(fromHex('0x1.'), 1.0) |
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742 self.identical(fromHex('0x1.0'), 1.0) |
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743 self.identical(fromHex('+0x1.0'), 1.0) |
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744 self.identical(fromHex('0x1p0'), 1.0) |
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745 self.identical(fromHex('0X1p0'), 1.0) |
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746 self.identical(fromHex('0X1P0'), 1.0) |
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747 self.identical(fromHex('0x1P0'), 1.0) |
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748 self.identical(fromHex('0x1.p0'), 1.0) |
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749 self.identical(fromHex('0x1.0p0'), 1.0) |
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750 self.identical(fromHex('0x.1p4'), 1.0) |
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751 self.identical(fromHex('0x.1p04'), 1.0) |
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752 self.identical(fromHex('0x.1p004'), 1.0) |
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753 self.identical(fromHex('0x1p+0'), 1.0) |
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754 self.identical(fromHex('0x1P-0'), 1.0) |
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755 self.identical(fromHex('+0x1p0'), 1.0) |
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756 self.identical(fromHex('0x01p0'), 1.0) |
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757 self.identical(fromHex('0x1p00'), 1.0) |
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758 self.identical(fromHex(' 0x1p0 '), 1.0) |
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759 self.identical(fromHex('\n 0x1p0'), 1.0) |
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760 self.identical(fromHex('0x1p0 \t'), 1.0) |
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761 self.identical(fromHex('0xap0'), 10.0) |
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762 self.identical(fromHex('0xAp0'), 10.0) |
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763 self.identical(fromHex('0xaP0'), 10.0) |
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764 self.identical(fromHex('0xAP0'), 10.0) |
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765 self.identical(fromHex('0xbep0'), 190.0) |
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766 self.identical(fromHex('0xBep0'), 190.0) |
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767 self.identical(fromHex('0xbEp0'), 190.0) |
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768 self.identical(fromHex('0XBE0P-4'), 190.0) |
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769 self.identical(fromHex('0xBEp0'), 190.0) |
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770 self.identical(fromHex('0xB.Ep4'), 190.0) |
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771 self.identical(fromHex('0x.BEp8'), 190.0) |
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772 self.identical(fromHex('0x.0BEp12'), 190.0) |
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|
773 |
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774 # moving the point around |
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775 pi = fromHex('0x1.921fb54442d18p1') |
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776 self.identical(fromHex('0x.006487ed5110b46p11'), pi) |
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777 self.identical(fromHex('0x.00c90fdaa22168cp10'), pi) |
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778 self.identical(fromHex('0x.01921fb54442d18p9'), pi) |
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779 self.identical(fromHex('0x.03243f6a8885a3p8'), pi) |
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780 self.identical(fromHex('0x.06487ed5110b46p7'), pi) |
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781 self.identical(fromHex('0x.0c90fdaa22168cp6'), pi) |
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782 self.identical(fromHex('0x.1921fb54442d18p5'), pi) |
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783 self.identical(fromHex('0x.3243f6a8885a3p4'), pi) |
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784 self.identical(fromHex('0x.6487ed5110b46p3'), pi) |
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785 self.identical(fromHex('0x.c90fdaa22168cp2'), pi) |
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786 self.identical(fromHex('0x1.921fb54442d18p1'), pi) |
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787 self.identical(fromHex('0x3.243f6a8885a3p0'), pi) |
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788 self.identical(fromHex('0x6.487ed5110b46p-1'), pi) |
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789 self.identical(fromHex('0xc.90fdaa22168cp-2'), pi) |
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790 self.identical(fromHex('0x19.21fb54442d18p-3'), pi) |
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791 self.identical(fromHex('0x32.43f6a8885a3p-4'), pi) |
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792 self.identical(fromHex('0x64.87ed5110b46p-5'), pi) |
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793 self.identical(fromHex('0xc9.0fdaa22168cp-6'), pi) |
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794 self.identical(fromHex('0x192.1fb54442d18p-7'), pi) |
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795 self.identical(fromHex('0x324.3f6a8885a3p-8'), pi) |
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796 self.identical(fromHex('0x648.7ed5110b46p-9'), pi) |
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797 self.identical(fromHex('0xc90.fdaa22168cp-10'), pi) |
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798 self.identical(fromHex('0x1921.fb54442d18p-11'), pi) |
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799 # ... |
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800 self.identical(fromHex('0x1921fb54442d1.8p-47'), pi) |
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801 self.identical(fromHex('0x3243f6a8885a3p-48'), pi) |
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802 self.identical(fromHex('0x6487ed5110b46p-49'), pi) |
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803 self.identical(fromHex('0xc90fdaa22168cp-50'), pi) |
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804 self.identical(fromHex('0x1921fb54442d18p-51'), pi) |
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805 self.identical(fromHex('0x3243f6a8885a30p-52'), pi) |
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806 self.identical(fromHex('0x6487ed5110b460p-53'), pi) |
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807 self.identical(fromHex('0xc90fdaa22168c0p-54'), pi) |
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808 self.identical(fromHex('0x1921fb54442d180p-55'), pi) |
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|
809 |
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|
810 |
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811 # results that should overflow... |
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812 self.assertRaises(OverflowError, fromHex, '-0x1p1024') |
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813 self.assertRaises(OverflowError, fromHex, '0x1p+1025') |
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814 self.assertRaises(OverflowError, fromHex, '+0X1p1030') |
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815 self.assertRaises(OverflowError, fromHex, '-0x1p+1100') |
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816 self.assertRaises(OverflowError, fromHex, '0X1p123456789123456789') |
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817 self.assertRaises(OverflowError, fromHex, '+0X.8p+1025') |
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818 self.assertRaises(OverflowError, fromHex, '+0x0.8p1025') |
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819 self.assertRaises(OverflowError, fromHex, '-0x0.4p1026') |
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820 self.assertRaises(OverflowError, fromHex, '0X2p+1023') |
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821 self.assertRaises(OverflowError, fromHex, '0x2.p1023') |
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822 self.assertRaises(OverflowError, fromHex, '-0x2.0p+1023') |
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823 self.assertRaises(OverflowError, fromHex, '+0X4p+1022') |
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824 self.assertRaises(OverflowError, fromHex, '0x1.ffffffffffffffp+1023') |
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825 self.assertRaises(OverflowError, fromHex, '-0X1.fffffffffffff9p1023') |
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826 self.assertRaises(OverflowError, fromHex, '0X1.fffffffffffff8p1023') |
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827 self.assertRaises(OverflowError, fromHex, '+0x3.fffffffffffffp1022') |
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828 self.assertRaises(OverflowError, fromHex, '0x3fffffffffffffp+970') |
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829 self.assertRaises(OverflowError, fromHex, '0x10000000000000000p960') |
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830 self.assertRaises(OverflowError, fromHex, '-0Xffffffffffffffffp960') |
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831 |
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832 # ...and those that round to +-max float |
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833 self.identical(fromHex('+0x1.fffffffffffffp+1023'), MAX) |
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834 self.identical(fromHex('-0X1.fffffffffffff7p1023'), -MAX) |
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835 self.identical(fromHex('0X1.fffffffffffff7fffffffffffffp1023'), MAX) |
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836 |
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837 # zeros |
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838 self.identical(fromHex('0x0p0'), 0.0) |
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839 self.identical(fromHex('0x0p1000'), 0.0) |
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840 self.identical(fromHex('-0x0p1023'), -0.0) |
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841 self.identical(fromHex('0X0p1024'), 0.0) |
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842 self.identical(fromHex('-0x0p1025'), -0.0) |
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843 self.identical(fromHex('0X0p2000'), 0.0) |
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844 self.identical(fromHex('0x0p123456789123456789'), 0.0) |
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845 self.identical(fromHex('-0X0p-0'), -0.0) |
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846 self.identical(fromHex('-0X0p-1000'), -0.0) |
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847 self.identical(fromHex('0x0p-1023'), 0.0) |
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848 self.identical(fromHex('-0X0p-1024'), -0.0) |
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849 self.identical(fromHex('-0x0p-1025'), -0.0) |
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850 self.identical(fromHex('-0x0p-1072'), -0.0) |
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851 self.identical(fromHex('0X0p-1073'), 0.0) |
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852 self.identical(fromHex('-0x0p-1074'), -0.0) |
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853 self.identical(fromHex('0x0p-1075'), 0.0) |
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854 self.identical(fromHex('0X0p-1076'), 0.0) |
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855 self.identical(fromHex('-0X0p-2000'), -0.0) |
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856 self.identical(fromHex('-0x0p-123456789123456789'), -0.0) |
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857 |
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858 # values that should underflow to 0 |
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859 self.identical(fromHex('0X1p-1075'), 0.0) |
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|
860 self.identical(fromHex('-0X1p-1075'), -0.0) |
|
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|
861 self.identical(fromHex('-0x1p-123456789123456789'), -0.0) |
|
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|
862 self.identical(fromHex('0x1.00000000000000001p-1075'), TINY) |
|
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|
863 self.identical(fromHex('-0x1.1p-1075'), -TINY) |
|
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|
864 self.identical(fromHex('0x1.fffffffffffffffffp-1075'), TINY) |
|
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|
865 |
|
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changeset
|
866 # check round-half-even is working correctly near 0 ... |
|
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|
867 self.identical(fromHex('0x1p-1076'), 0.0) |
|
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|
868 self.identical(fromHex('0X2p-1076'), 0.0) |
|
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|
869 self.identical(fromHex('0X3p-1076'), TINY) |
|
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|
870 self.identical(fromHex('0x4p-1076'), TINY) |
|
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|
871 self.identical(fromHex('0X5p-1076'), TINY) |
|
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872 self.identical(fromHex('0X6p-1076'), 2*TINY) |
|
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|
873 self.identical(fromHex('0x7p-1076'), 2*TINY) |
|
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|
874 self.identical(fromHex('0X8p-1076'), 2*TINY) |
|
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|
875 self.identical(fromHex('0X9p-1076'), 2*TINY) |
|
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|
876 self.identical(fromHex('0xap-1076'), 2*TINY) |
|
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|
877 self.identical(fromHex('0Xbp-1076'), 3*TINY) |
|
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|
878 self.identical(fromHex('0xcp-1076'), 3*TINY) |
|
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|
879 self.identical(fromHex('0Xdp-1076'), 3*TINY) |
|
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|
880 self.identical(fromHex('0Xep-1076'), 4*TINY) |
|
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|
881 self.identical(fromHex('0xfp-1076'), 4*TINY) |
|
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|
882 self.identical(fromHex('0x10p-1076'), 4*TINY) |
|
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|
883 self.identical(fromHex('-0x1p-1076'), -0.0) |
|
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|
884 self.identical(fromHex('-0X2p-1076'), -0.0) |
|
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|
885 self.identical(fromHex('-0x3p-1076'), -TINY) |
|
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|
886 self.identical(fromHex('-0X4p-1076'), -TINY) |
|
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887 self.identical(fromHex('-0x5p-1076'), -TINY) |
|
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|
888 self.identical(fromHex('-0x6p-1076'), -2*TINY) |
|
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|
889 self.identical(fromHex('-0X7p-1076'), -2*TINY) |
|
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|
890 self.identical(fromHex('-0X8p-1076'), -2*TINY) |
|
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891 self.identical(fromHex('-0X9p-1076'), -2*TINY) |
|
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|
892 self.identical(fromHex('-0Xap-1076'), -2*TINY) |
|
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893 self.identical(fromHex('-0xbp-1076'), -3*TINY) |
|
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894 self.identical(fromHex('-0xcp-1076'), -3*TINY) |
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895 self.identical(fromHex('-0Xdp-1076'), -3*TINY) |
|
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896 self.identical(fromHex('-0xep-1076'), -4*TINY) |
|
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|
897 self.identical(fromHex('-0Xfp-1076'), -4*TINY) |
|
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898 self.identical(fromHex('-0X10p-1076'), -4*TINY) |
|
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|
899 |
|
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|
900 # ... and near MIN ... |
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|
901 self.identical(fromHex('0x0.ffffffffffffd6p-1022'), MIN-3*TINY) |
|
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902 self.identical(fromHex('0x0.ffffffffffffd8p-1022'), MIN-2*TINY) |
|
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|
903 self.identical(fromHex('0x0.ffffffffffffdap-1022'), MIN-2*TINY) |
|
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|
904 self.identical(fromHex('0x0.ffffffffffffdcp-1022'), MIN-2*TINY) |
|
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|
905 self.identical(fromHex('0x0.ffffffffffffdep-1022'), MIN-2*TINY) |
|
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|
906 self.identical(fromHex('0x0.ffffffffffffe0p-1022'), MIN-2*TINY) |
|
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|
907 self.identical(fromHex('0x0.ffffffffffffe2p-1022'), MIN-2*TINY) |
|
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|
908 self.identical(fromHex('0x0.ffffffffffffe4p-1022'), MIN-2*TINY) |
|
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|
909 self.identical(fromHex('0x0.ffffffffffffe6p-1022'), MIN-2*TINY) |
|
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|
910 self.identical(fromHex('0x0.ffffffffffffe8p-1022'), MIN-2*TINY) |
|
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|
911 self.identical(fromHex('0x0.ffffffffffffeap-1022'), MIN-TINY) |
|
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|
912 self.identical(fromHex('0x0.ffffffffffffecp-1022'), MIN-TINY) |
|
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|
913 self.identical(fromHex('0x0.ffffffffffffeep-1022'), MIN-TINY) |
|
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|
914 self.identical(fromHex('0x0.fffffffffffff0p-1022'), MIN-TINY) |
|
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|
915 self.identical(fromHex('0x0.fffffffffffff2p-1022'), MIN-TINY) |
|
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|
916 self.identical(fromHex('0x0.fffffffffffff4p-1022'), MIN-TINY) |
|
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|
917 self.identical(fromHex('0x0.fffffffffffff6p-1022'), MIN-TINY) |
|
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|
918 self.identical(fromHex('0x0.fffffffffffff8p-1022'), MIN) |
|
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|
919 self.identical(fromHex('0x0.fffffffffffffap-1022'), MIN) |
|
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|
920 self.identical(fromHex('0x0.fffffffffffffcp-1022'), MIN) |
|
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|
921 self.identical(fromHex('0x0.fffffffffffffep-1022'), MIN) |
|
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|
922 self.identical(fromHex('0x1.00000000000000p-1022'), MIN) |
|
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|
923 self.identical(fromHex('0x1.00000000000002p-1022'), MIN) |
|
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|
924 self.identical(fromHex('0x1.00000000000004p-1022'), MIN) |
|
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|
925 self.identical(fromHex('0x1.00000000000006p-1022'), MIN) |
|
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|
926 self.identical(fromHex('0x1.00000000000008p-1022'), MIN) |
|
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|
927 self.identical(fromHex('0x1.0000000000000ap-1022'), MIN+TINY) |
|
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|
928 self.identical(fromHex('0x1.0000000000000cp-1022'), MIN+TINY) |
|
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|
929 self.identical(fromHex('0x1.0000000000000ep-1022'), MIN+TINY) |
|
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|
930 self.identical(fromHex('0x1.00000000000010p-1022'), MIN+TINY) |
|
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|
931 self.identical(fromHex('0x1.00000000000012p-1022'), MIN+TINY) |
|
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|
932 self.identical(fromHex('0x1.00000000000014p-1022'), MIN+TINY) |
|
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|
933 self.identical(fromHex('0x1.00000000000016p-1022'), MIN+TINY) |
|
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|
934 self.identical(fromHex('0x1.00000000000018p-1022'), MIN+2*TINY) |
|
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|
935 |
|
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|
936 # ... and near 1.0. |
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|
937 self.identical(fromHex('0x0.fffffffffffff0p0'), 1.0-EPS) |
|
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|
938 self.identical(fromHex('0x0.fffffffffffff1p0'), 1.0-EPS) |
|
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|
939 self.identical(fromHex('0X0.fffffffffffff2p0'), 1.0-EPS) |
|
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|
940 self.identical(fromHex('0x0.fffffffffffff3p0'), 1.0-EPS) |
|
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|
941 self.identical(fromHex('0X0.fffffffffffff4p0'), 1.0-EPS) |
|
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|
942 self.identical(fromHex('0X0.fffffffffffff5p0'), 1.0-EPS/2) |
|
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|
943 self.identical(fromHex('0X0.fffffffffffff6p0'), 1.0-EPS/2) |
|
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|
944 self.identical(fromHex('0x0.fffffffffffff7p0'), 1.0-EPS/2) |
|
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|
945 self.identical(fromHex('0x0.fffffffffffff8p0'), 1.0-EPS/2) |
|
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|
946 self.identical(fromHex('0X0.fffffffffffff9p0'), 1.0-EPS/2) |
|
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|
947 self.identical(fromHex('0X0.fffffffffffffap0'), 1.0-EPS/2) |
|
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|
948 self.identical(fromHex('0x0.fffffffffffffbp0'), 1.0-EPS/2) |
|
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|
949 self.identical(fromHex('0X0.fffffffffffffcp0'), 1.0) |
|
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|
950 self.identical(fromHex('0x0.fffffffffffffdp0'), 1.0) |
|
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|
951 self.identical(fromHex('0X0.fffffffffffffep0'), 1.0) |
|
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|
952 self.identical(fromHex('0x0.ffffffffffffffp0'), 1.0) |
|
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|
953 self.identical(fromHex('0X1.00000000000000p0'), 1.0) |
|
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|
954 self.identical(fromHex('0X1.00000000000001p0'), 1.0) |
|
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|
955 self.identical(fromHex('0x1.00000000000002p0'), 1.0) |
|
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956 self.identical(fromHex('0X1.00000000000003p0'), 1.0) |
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957 self.identical(fromHex('0x1.00000000000004p0'), 1.0) |
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958 self.identical(fromHex('0X1.00000000000005p0'), 1.0) |
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959 self.identical(fromHex('0X1.00000000000006p0'), 1.0) |
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960 self.identical(fromHex('0X1.00000000000007p0'), 1.0) |
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961 self.identical(fromHex('0x1.00000000000007ffffffffffffffffffffp0'), |
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962 1.0) |
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963 self.identical(fromHex('0x1.00000000000008p0'), 1.0) |
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964 self.identical(fromHex('0x1.00000000000008000000000000000001p0'), |
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965 1+EPS) |
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966 self.identical(fromHex('0X1.00000000000009p0'), 1.0+EPS) |
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967 self.identical(fromHex('0x1.0000000000000ap0'), 1.0+EPS) |
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968 self.identical(fromHex('0x1.0000000000000bp0'), 1.0+EPS) |
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969 self.identical(fromHex('0X1.0000000000000cp0'), 1.0+EPS) |
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970 self.identical(fromHex('0x1.0000000000000dp0'), 1.0+EPS) |
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971 self.identical(fromHex('0x1.0000000000000ep0'), 1.0+EPS) |
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972 self.identical(fromHex('0X1.0000000000000fp0'), 1.0+EPS) |
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973 self.identical(fromHex('0x1.00000000000010p0'), 1.0+EPS) |
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974 self.identical(fromHex('0X1.00000000000011p0'), 1.0+EPS) |
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975 self.identical(fromHex('0x1.00000000000012p0'), 1.0+EPS) |
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976 self.identical(fromHex('0X1.00000000000013p0'), 1.0+EPS) |
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977 self.identical(fromHex('0X1.00000000000014p0'), 1.0+EPS) |
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978 self.identical(fromHex('0x1.00000000000015p0'), 1.0+EPS) |
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979 self.identical(fromHex('0x1.00000000000016p0'), 1.0+EPS) |
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980 self.identical(fromHex('0X1.00000000000017p0'), 1.0+EPS) |
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981 self.identical(fromHex('0x1.00000000000017ffffffffffffffffffffp0'), |
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982 1.0+EPS) |
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983 self.identical(fromHex('0x1.00000000000018p0'), 1.0+2*EPS) |
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984 self.identical(fromHex('0X1.00000000000018000000000000000001p0'), |
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985 1.0+2*EPS) |
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986 self.identical(fromHex('0x1.00000000000019p0'), 1.0+2*EPS) |
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987 self.identical(fromHex('0X1.0000000000001ap0'), 1.0+2*EPS) |
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988 self.identical(fromHex('0X1.0000000000001bp0'), 1.0+2*EPS) |
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989 self.identical(fromHex('0x1.0000000000001cp0'), 1.0+2*EPS) |
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990 self.identical(fromHex('0x1.0000000000001dp0'), 1.0+2*EPS) |
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991 self.identical(fromHex('0x1.0000000000001ep0'), 1.0+2*EPS) |
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992 self.identical(fromHex('0X1.0000000000001fp0'), 1.0+2*EPS) |
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993 self.identical(fromHex('0x1.00000000000020p0'), 1.0+2*EPS) |
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994 |
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995 def test_roundtrip(self): |
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996 def roundtrip(x): |
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997 return fromHex(toHex(x)) |
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998 |
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999 for x in [NAN, INF, self.MAX, self.MIN, self.MIN-self.TINY, self.TINY, 0.0]: |
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1000 self.identical(x, roundtrip(x)) |
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1001 self.identical(-x, roundtrip(-x)) |
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1002 |
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1003 # fromHex(toHex(x)) should exactly recover x, for any non-NaN float x. |
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1004 import random |
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1005 for i in range(10000): |
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1006 e = random.randrange(-1200, 1200) |
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1007 m = random.random() |
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1008 s = random.choice([1.0, -1.0]) |
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1009 try: |
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1010 x = s*ldexp(m, e) |
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1011 except OverflowError: |
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1012 pass |
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1013 else: |
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1014 self.identical(x, fromHex(toHex(x))) |
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1015 |
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1016 |
| 34972 | 1017 def test_main(): |
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1018 support.run_unittest( |
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1019 GeneralFloatCases, |
| 34972 | 1020 FormatFunctionsTestCase, |
| 1021 UnknownFormatTestCase, | |
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1022 IEEEFormatTestCase, |
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1023 FormatTestCase, |
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1024 ReprTestCase, |
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1025 RoundTestCase, |
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1026 InfNanTest, |
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1027 HexFloatTestCase, |
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1028 ) |
| 34972 | 1029 |
| 1030 if __name__ == '__main__': | |
| 1031 test_main() |