Mercurial > cpython-lru_cache-weakref
annotate Lib/test/test_float.py @ 51749:1408feec0084 3.0
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r69798 | benjamin.peterson | 2009-02-19 22:02:38 -0600 (Thu, 19 Feb 2009) | 13 lines
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r69769 | georg.brandl | 2009-02-19 02:30:06 -0600 (Thu, 19 Feb 2009) | 1 line
#5310, #3558: fix operator precedence table.
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r69776 | georg.brandl | 2009-02-19 10:34:51 -0600 (Thu, 19 Feb 2009) | 2 lines
#5317: update IronPython URL.
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| author | Benjamin Peterson <benjamin@python.org> |
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| date | Fri, 20 Feb 2009 04:05:32 +0000 |
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| 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 from test import support |
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5 import math |
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6 from math import isinf, isnan, copysign, ldexp |
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7 import operator |
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8 import random, fractions |
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10 INF = float("inf") |
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11 NAN = float("nan") |
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13 class GeneralFloatCases(unittest.TestCase): |
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14 |
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15 def test_float(self): |
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16 self.assertEqual(float(3.14), 3.14) |
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17 self.assertEqual(float(314), 314.0) |
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18 self.assertEqual(float(" 3.14 "), 3.14) |
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19 self.assertEqual(float(b" 3.14 "), 3.14) |
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20 self.assertRaises(ValueError, float, " 0x3.1 ") |
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21 self.assertRaises(ValueError, float, " -0x3.p-1 ") |
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22 self.assertRaises(ValueError, float, " +0x3.p-1 ") |
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23 self.assertRaises(ValueError, float, "++3.14") |
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24 self.assertRaises(ValueError, float, "+-3.14") |
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25 self.assertRaises(ValueError, float, "-+3.14") |
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26 self.assertRaises(ValueError, float, "--3.14") |
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27 self.assertEqual(float(b" \u0663.\u0661\u0664 ".decode('raw-unicode-escape')), 3.14) |
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28 |
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29 @support.run_with_locale('LC_NUMERIC', 'fr_FR', 'de_DE') |
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30 def test_float_with_comma(self): |
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31 # set locale to something that doesn't use '.' for the decimal point |
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32 # float must not accept the locale specific decimal point but |
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33 # it still has to accept the normal python syntac |
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34 import locale |
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35 if not locale.localeconv()['decimal_point'] == ',': |
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36 return |
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38 self.assertEqual(float(" 3.14 "), 3.14) |
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39 self.assertEqual(float("+3.14 "), 3.14) |
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40 self.assertEqual(float("-3.14 "), -3.14) |
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41 self.assertEqual(float(".14 "), .14) |
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42 self.assertEqual(float("3. "), 3.0) |
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43 self.assertEqual(float("3.e3 "), 3000.0) |
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44 self.assertEqual(float("3.2e3 "), 3200.0) |
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45 self.assertEqual(float("2.5e-1 "), 0.25) |
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46 self.assertEqual(float("5e-1"), 0.5) |
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47 self.assertRaises(ValueError, float, " 3,14 ") |
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48 self.assertRaises(ValueError, float, " +3,14 ") |
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49 self.assertRaises(ValueError, float, " -3,14 ") |
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50 self.assertRaises(ValueError, float, " 0x3.1 ") |
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51 self.assertRaises(ValueError, float, " -0x3.p-1 ") |
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52 self.assertRaises(ValueError, float, " +0x3.p-1 ") |
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53 self.assertEqual(float(" 25.e-1 "), 2.5) |
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54 self.assertEqual(support.fcmp(float(" .25e-1 "), .025), 0) |
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55 |
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56 def test_floatconversion(self): |
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57 # Make sure that calls to __float__() work properly |
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58 class Foo0: |
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59 def __float__(self): |
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60 return 42. |
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61 |
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62 class Foo1(object): |
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63 def __float__(self): |
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64 return 42. |
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65 |
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66 class Foo2(float): |
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67 def __float__(self): |
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68 return 42. |
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69 |
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70 class Foo3(float): |
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71 def __new__(cls, value=0.): |
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72 return float.__new__(cls, 2*value) |
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74 def __float__(self): |
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75 return self |
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77 class Foo4(float): |
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78 def __float__(self): |
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79 return 42 |
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80 |
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81 self.assertAlmostEqual(float(Foo0()), 42.) |
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82 self.assertAlmostEqual(float(Foo1()), 42.) |
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83 self.assertAlmostEqual(float(Foo2()), 42.) |
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84 self.assertAlmostEqual(float(Foo3(21)), 42.) |
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85 self.assertRaises(TypeError, float, Foo4(42)) |
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86 |
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87 def test_floatasratio(self): |
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88 for f, ratio in [ |
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89 (0.875, (7, 8)), |
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90 (-0.875, (-7, 8)), |
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91 (0.0, (0, 1)), |
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92 (11.5, (23, 2)), |
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93 ]: |
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94 self.assertEqual(f.as_integer_ratio(), ratio) |
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95 |
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96 for i in range(10000): |
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97 f = random.random() |
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98 f *= 10 ** random.randint(-100, 100) |
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99 n, d = f.as_integer_ratio() |
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100 self.assertEqual(float(n).__truediv__(d), f) |
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101 |
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102 R = fractions.Fraction |
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103 self.assertEqual(R(0, 1), |
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104 R(*float(0.0).as_integer_ratio())) |
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105 self.assertEqual(R(5, 2), |
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106 R(*float(2.5).as_integer_ratio())) |
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107 self.assertEqual(R(1, 2), |
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108 R(*float(0.5).as_integer_ratio())) |
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109 self.assertEqual(R(4728779608739021, 2251799813685248), |
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110 R(*float(2.1).as_integer_ratio())) |
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111 self.assertEqual(R(-4728779608739021, 2251799813685248), |
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112 R(*float(-2.1).as_integer_ratio())) |
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113 self.assertEqual(R(-2100, 1), |
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114 R(*float(-2100.0).as_integer_ratio())) |
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115 |
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116 self.assertRaises(OverflowError, float('inf').as_integer_ratio) |
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117 self.assertRaises(OverflowError, float('-inf').as_integer_ratio) |
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118 self.assertRaises(ValueError, float('nan').as_integer_ratio) |
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119 |
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120 def test_float_containment(self): |
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121 floats = (INF, -INF, 0.0, 1.0, NAN) |
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122 for f in floats: |
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123 self.assert_(f in [f], "'%r' not in []" % f) |
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124 self.assert_(f in (f,), "'%r' not in ()" % f) |
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125 self.assert_(f in {f}, "'%r' not in set()" % f) |
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126 self.assert_(f in {f: None}, "'%r' not in {}" % f) |
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127 self.assertEqual([f].count(f), 1, "[].count('%r') != 1" % f) |
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128 self.assert_(f in floats, "'%r' not in container" % f) |
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129 |
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130 for f in floats: |
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131 # nonidentical containers, same type, same contents |
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132 self.assert_([f] == [f], "[%r] != [%r]" % (f, f)) |
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133 self.assert_((f,) == (f,), "(%r,) != (%r,)" % (f, f)) |
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134 self.assert_({f} == {f}, "{%r} != {%r}" % (f, f)) |
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135 self.assert_({f : None} == {f: None}, "{%r : None} != " |
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136 "{%r : None}" % (f, f)) |
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137 |
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138 # identical containers |
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139 l, t, s, d = [f], (f,), {f}, {f: None} |
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140 self.assert_(l == l, "[%r] not equal to itself" % f) |
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141 self.assert_(t == t, "(%r,) not equal to itself" % f) |
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142 self.assert_(s == s, "{%r} not equal to itself" % f) |
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143 self.assert_(d == d, "{%r : None} not equal to itself" % f) |
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144 |
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145 |
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146 |
| 34972 | 147 class FormatFunctionsTestCase(unittest.TestCase): |
| 148 | |
| 149 def setUp(self): | |
| 150 self.save_formats = {'double':float.__getformat__('double'), | |
| 151 'float':float.__getformat__('float')} | |
| 152 | |
| 153 def tearDown(self): | |
| 154 float.__setformat__('double', self.save_formats['double']) | |
| 155 float.__setformat__('float', self.save_formats['float']) | |
| 156 | |
| 157 def test_getformat(self): | |
| 158 self.assert_(float.__getformat__('double') in | |
| 159 ['unknown', 'IEEE, big-endian', 'IEEE, little-endian']) | |
| 160 self.assert_(float.__getformat__('float') in | |
| 161 ['unknown', 'IEEE, big-endian', 'IEEE, little-endian']) | |
| 162 self.assertRaises(ValueError, float.__getformat__, 'chicken') | |
| 163 self.assertRaises(TypeError, float.__getformat__, 1) | |
| 164 | |
| 165 def test_setformat(self): | |
| 166 for t in 'double', 'float': | |
| 167 float.__setformat__(t, 'unknown') | |
| 168 if self.save_formats[t] == 'IEEE, big-endian': | |
| 169 self.assertRaises(ValueError, float.__setformat__, | |
| 170 t, 'IEEE, little-endian') | |
| 171 elif self.save_formats[t] == 'IEEE, little-endian': | |
| 172 self.assertRaises(ValueError, float.__setformat__, | |
| 173 t, 'IEEE, big-endian') | |
| 174 else: | |
| 175 self.assertRaises(ValueError, float.__setformat__, | |
| 176 t, 'IEEE, big-endian') | |
| 177 self.assertRaises(ValueError, float.__setformat__, | |
| 178 t, 'IEEE, little-endian') | |
| 179 self.assertRaises(ValueError, float.__setformat__, | |
| 180 t, 'chicken') | |
| 181 self.assertRaises(ValueError, float.__setformat__, | |
| 182 'chicken', 'unknown') | |
| 183 | |
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184 BE_DOUBLE_INF = b'\x7f\xf0\x00\x00\x00\x00\x00\x00' |
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185 LE_DOUBLE_INF = bytes(reversed(BE_DOUBLE_INF)) |
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186 BE_DOUBLE_NAN = b'\x7f\xf8\x00\x00\x00\x00\x00\x00' |
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187 LE_DOUBLE_NAN = bytes(reversed(BE_DOUBLE_NAN)) |
| 34972 | 188 |
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189 BE_FLOAT_INF = b'\x7f\x80\x00\x00' |
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190 LE_FLOAT_INF = bytes(reversed(BE_FLOAT_INF)) |
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191 BE_FLOAT_NAN = b'\x7f\xc0\x00\x00' |
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192 LE_FLOAT_NAN = bytes(reversed(BE_FLOAT_NAN)) |
| 34972 | 193 |
| 194 # on non-IEEE platforms, attempting to unpack a bit pattern | |
| 195 # representing an infinity or a NaN should raise an exception. | |
| 196 | |
| 197 class UnknownFormatTestCase(unittest.TestCase): | |
| 198 def setUp(self): | |
| 199 self.save_formats = {'double':float.__getformat__('double'), | |
| 200 'float':float.__getformat__('float')} | |
| 201 float.__setformat__('double', 'unknown') | |
| 202 float.__setformat__('float', 'unknown') | |
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203 |
| 34972 | 204 def tearDown(self): |
| 205 float.__setformat__('double', self.save_formats['double']) | |
| 206 float.__setformat__('float', self.save_formats['float']) | |
| 207 | |
| 208 def test_double_specials_dont_unpack(self): | |
| 209 for fmt, data in [('>d', BE_DOUBLE_INF), | |
| 210 ('>d', BE_DOUBLE_NAN), | |
| 211 ('<d', LE_DOUBLE_INF), | |
| 212 ('<d', LE_DOUBLE_NAN)]: | |
| 213 self.assertRaises(ValueError, struct.unpack, fmt, data) | |
| 214 | |
| 215 def test_float_specials_dont_unpack(self): | |
| 216 for fmt, data in [('>f', BE_FLOAT_INF), | |
| 217 ('>f', BE_FLOAT_NAN), | |
| 218 ('<f', LE_FLOAT_INF), | |
| 219 ('<f', LE_FLOAT_NAN)]: | |
| 220 self.assertRaises(ValueError, struct.unpack, fmt, data) | |
| 221 | |
| 222 | |
| 223 # on an IEEE platform, all we guarantee is that bit patterns | |
| 224 # representing infinities or NaNs do not raise an exception; all else | |
| 225 # is accident (today). | |
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226 # let's also try to guarantee that -0.0 and 0.0 don't get confused. |
| 34972 | 227 |
| 228 class IEEEFormatTestCase(unittest.TestCase): | |
| 229 if float.__getformat__("double").startswith("IEEE"): | |
| 230 def test_double_specials_do_unpack(self): | |
| 231 for fmt, data in [('>d', BE_DOUBLE_INF), | |
| 232 ('>d', BE_DOUBLE_NAN), | |
| 233 ('<d', LE_DOUBLE_INF), | |
| 234 ('<d', LE_DOUBLE_NAN)]: | |
| 235 struct.unpack(fmt, data) | |
| 236 | |
| 237 if float.__getformat__("float").startswith("IEEE"): | |
| 238 def test_float_specials_do_unpack(self): | |
| 239 for fmt, data in [('>f', BE_FLOAT_INF), | |
| 240 ('>f', BE_FLOAT_NAN), | |
| 241 ('<f', LE_FLOAT_INF), | |
| 242 ('<f', LE_FLOAT_NAN)]: | |
| 243 struct.unpack(fmt, data) | |
| 244 | |
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245 if float.__getformat__("double").startswith("IEEE"): |
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246 def test_negative_zero(self): |
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247 import math |
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248 def pos_pos(): |
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249 return 0.0, math.atan2(0.0, -1) |
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250 def pos_neg(): |
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251 return 0.0, math.atan2(-0.0, -1) |
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252 def neg_pos(): |
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253 return -0.0, math.atan2(0.0, -1) |
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254 def neg_neg(): |
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255 return -0.0, math.atan2(-0.0, -1) |
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256 self.assertEquals(pos_pos(), neg_pos()) |
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257 self.assertEquals(pos_neg(), neg_neg()) |
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258 |
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259 class FormatTestCase(unittest.TestCase): |
| 43111 | 260 def test_format(self): |
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261 # these should be rewritten to use both format(x, spec) and |
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262 # x.__format__(spec) |
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263 |
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264 self.assertEqual(format(0.0, 'f'), '0.000000') |
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265 |
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266 # the default is 'g', except for empty format spec |
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267 self.assertEqual(format(0.0, ''), '0.0') |
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268 self.assertEqual(format(0.01, ''), '0.01') |
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269 self.assertEqual(format(0.01, 'g'), '0.01') |
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270 |
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271 |
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272 self.assertEqual(format(1.0, 'f'), '1.000000') |
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273 |
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274 self.assertEqual(format(-1.0, 'f'), '-1.000000') |
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275 |
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276 self.assertEqual(format( 1.0, ' f'), ' 1.000000') |
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277 self.assertEqual(format(-1.0, ' f'), '-1.000000') |
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278 self.assertEqual(format( 1.0, '+f'), '+1.000000') |
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279 self.assertEqual(format(-1.0, '+f'), '-1.000000') |
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280 |
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281 # % formatting |
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282 self.assertEqual(format(-1.0, '%'), '-100.000000%') |
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283 |
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284 # conversion to string should fail |
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285 self.assertRaises(ValueError, format, 3.0, "s") |
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286 |
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287 # other format specifiers shouldn't work on floats, |
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288 # in particular int specifiers |
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289 for format_spec in ([chr(x) for x in range(ord('a'), ord('z')+1)] + |
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290 [chr(x) for x in range(ord('A'), ord('Z')+1)]): |
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291 if not format_spec in 'eEfFgGn%': |
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292 self.assertRaises(ValueError, format, 0.0, format_spec) |
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293 self.assertRaises(ValueError, format, 1.0, format_spec) |
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294 self.assertRaises(ValueError, format, -1.0, format_spec) |
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295 self.assertRaises(ValueError, format, 1e100, format_spec) |
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296 self.assertRaises(ValueError, format, -1e100, format_spec) |
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297 self.assertRaises(ValueError, format, 1e-100, format_spec) |
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298 self.assertRaises(ValueError, format, -1e-100, format_spec) |
| 34972 | 299 |
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300 class ReprTestCase(unittest.TestCase): |
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301 def test_repr(self): |
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302 floats_file = open(os.path.join(os.path.split(__file__)[0], |
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303 'floating_points.txt')) |
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304 for line in floats_file: |
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305 line = line.strip() |
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306 if not line or line.startswith('#'): |
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307 continue |
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308 v = eval(line) |
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309 self.assertEqual(v, eval(repr(v))) |
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310 floats_file.close() |
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311 |
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312 # Beginning with Python 2.6 float has cross platform compatible |
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313 # ways to create and represent inf and nan |
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314 class InfNanTest(unittest.TestCase): |
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315 def test_inf_from_str(self): |
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316 self.assert_(isinf(float("inf"))) |
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317 self.assert_(isinf(float("+inf"))) |
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318 self.assert_(isinf(float("-inf"))) |
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319 self.assert_(isinf(float("infinity"))) |
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320 self.assert_(isinf(float("+infinity"))) |
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321 self.assert_(isinf(float("-infinity"))) |
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322 |
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323 self.assertEqual(repr(float("inf")), "inf") |
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324 self.assertEqual(repr(float("+inf")), "inf") |
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325 self.assertEqual(repr(float("-inf")), "-inf") |
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326 self.assertEqual(repr(float("infinity")), "inf") |
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327 self.assertEqual(repr(float("+infinity")), "inf") |
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328 self.assertEqual(repr(float("-infinity")), "-inf") |
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329 |
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330 self.assertEqual(repr(float("INF")), "inf") |
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331 self.assertEqual(repr(float("+Inf")), "inf") |
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332 self.assertEqual(repr(float("-iNF")), "-inf") |
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333 self.assertEqual(repr(float("Infinity")), "inf") |
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334 self.assertEqual(repr(float("+iNfInItY")), "inf") |
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335 self.assertEqual(repr(float("-INFINITY")), "-inf") |
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336 |
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337 self.assertEqual(str(float("inf")), "inf") |
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338 self.assertEqual(str(float("+inf")), "inf") |
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339 self.assertEqual(str(float("-inf")), "-inf") |
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340 self.assertEqual(str(float("infinity")), "inf") |
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341 self.assertEqual(str(float("+infinity")), "inf") |
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342 self.assertEqual(str(float("-infinity")), "-inf") |
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343 |
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344 self.assertRaises(ValueError, float, "info") |
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345 self.assertRaises(ValueError, float, "+info") |
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346 self.assertRaises(ValueError, float, "-info") |
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347 self.assertRaises(ValueError, float, "in") |
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348 self.assertRaises(ValueError, float, "+in") |
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349 self.assertRaises(ValueError, float, "-in") |
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350 self.assertRaises(ValueError, float, "infinit") |
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351 self.assertRaises(ValueError, float, "+Infin") |
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352 self.assertRaises(ValueError, float, "-INFI") |
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353 self.assertRaises(ValueError, float, "infinitys") |
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354 |
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355 def test_inf_as_str(self): |
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356 self.assertEqual(repr(1e300 * 1e300), "inf") |
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357 self.assertEqual(repr(-1e300 * 1e300), "-inf") |
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358 |
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359 self.assertEqual(str(1e300 * 1e300), "inf") |
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360 self.assertEqual(str(-1e300 * 1e300), "-inf") |
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361 |
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362 def test_nan_from_str(self): |
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363 self.assert_(isnan(float("nan"))) |
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364 self.assert_(isnan(float("+nan"))) |
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365 self.assert_(isnan(float("-nan"))) |
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366 |
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367 self.assertEqual(repr(float("nan")), "nan") |
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368 self.assertEqual(repr(float("+nan")), "nan") |
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369 self.assertEqual(repr(float("-nan")), "nan") |
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370 |
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371 self.assertEqual(repr(float("NAN")), "nan") |
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372 self.assertEqual(repr(float("+NAn")), "nan") |
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373 self.assertEqual(repr(float("-NaN")), "nan") |
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374 |
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375 self.assertEqual(str(float("nan")), "nan") |
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376 self.assertEqual(str(float("+nan")), "nan") |
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377 self.assertEqual(str(float("-nan")), "nan") |
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378 |
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379 self.assertRaises(ValueError, float, "nana") |
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380 self.assertRaises(ValueError, float, "+nana") |
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381 self.assertRaises(ValueError, float, "-nana") |
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382 self.assertRaises(ValueError, float, "na") |
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383 self.assertRaises(ValueError, float, "+na") |
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384 self.assertRaises(ValueError, float, "-na") |
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385 |
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386 def test_nan_as_str(self): |
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387 self.assertEqual(repr(1e300 * 1e300 * 0), "nan") |
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388 self.assertEqual(repr(-1e300 * 1e300 * 0), "nan") |
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389 |
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390 self.assertEqual(str(1e300 * 1e300 * 0), "nan") |
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391 self.assertEqual(str(-1e300 * 1e300 * 0), "nan") |
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392 |
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393 def notest_float_nan(self): |
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394 self.assert_(NAN.is_nan()) |
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395 self.failIf(INF.is_nan()) |
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396 self.failIf((0.).is_nan()) |
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397 |
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398 def notest_float_inf(self): |
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399 self.assert_(INF.is_inf()) |
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400 self.failIf(NAN.is_inf()) |
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401 self.failIf((0.).is_inf()) |
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402 |
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403 fromHex = float.fromhex |
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404 toHex = float.hex |
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405 class HexFloatTestCase(unittest.TestCase): |
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406 MAX = fromHex('0x.fffffffffffff8p+1024') # max normal |
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407 MIN = fromHex('0x1p-1022') # min normal |
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408 TINY = fromHex('0x0.0000000000001p-1022') # min subnormal |
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409 EPS = fromHex('0x0.0000000000001p0') # diff between 1.0 and next float up |
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410 |
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411 def identical(self, x, y): |
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412 # check that floats x and y are identical, or that both |
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413 # are NaNs |
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414 if isnan(x) or isnan(y): |
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415 if isnan(x) == isnan(y): |
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416 return |
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417 elif x == y and (x != 0.0 or copysign(1.0, x) == copysign(1.0, y)): |
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418 return |
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419 self.fail('%r not identical to %r' % (x, y)) |
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420 |
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421 def test_ends(self): |
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422 self.identical(self.MIN, ldexp(1.0, -1022)) |
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423 self.identical(self.TINY, ldexp(1.0, -1074)) |
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424 self.identical(self.EPS, ldexp(1.0, -52)) |
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425 self.identical(self.MAX, 2.*(ldexp(1.0, 1023) - ldexp(1.0, 970))) |
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426 |
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427 def test_invalid_inputs(self): |
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428 invalid_inputs = [ |
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429 'infi', # misspelt infinities and nans |
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430 '-Infinit', |
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431 '++inf', |
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432 '-+Inf', |
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433 '--nan', |
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434 '+-NaN', |
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435 'snan', |
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436 'NaNs', |
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437 'nna', |
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438 '0xnan', |
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439 '', |
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440 ' ', |
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441 'x1.0p0', |
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442 '0xX1.0p0', |
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443 '+ 0x1.0p0', # internal whitespace |
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444 '- 0x1.0p0', |
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445 '0 x1.0p0', |
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446 '0x 1.0p0', |
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447 '0x1 2.0p0', |
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448 '+0x1 .0p0', |
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449 '0x1. 0p0', |
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450 '-0x1.0 1p0', |
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451 '-0x1.0 p0', |
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452 '+0x1.0p +0', |
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453 '0x1.0p -0', |
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454 '0x1.0p 0', |
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455 '+0x1.0p+ 0', |
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456 '-0x1.0p- 0', |
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457 '++0x1.0p-0', # double signs |
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458 '--0x1.0p0', |
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459 '+-0x1.0p+0', |
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460 '-+0x1.0p0', |
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461 '0x1.0p++0', |
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462 '+0x1.0p+-0', |
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463 '-0x1.0p-+0', |
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464 '0x1.0p--0', |
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465 '0x1.0.p0', |
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466 '0x.p0', # no hex digits before or after point |
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467 '0x1,p0', # wrong decimal point character |
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468 '0x1pa', |
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469 '0x1p\uff10', # fullwidth Unicode digits |
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470 '\uff10x1p0', |
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471 '0x\uff11p0', |
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472 '0x1.\uff10p0', |
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473 '0x1p0 \n 0x2p0', |
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474 '0x1p0\0 0x1p0', # embedded null byte is not end of string |
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475 ] |
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476 for x in invalid_inputs: |
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477 try: |
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478 result = fromHex(x) |
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479 except ValueError: |
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480 pass |
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481 else: |
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482 self.fail('Expected float.fromhex(%r) to raise ValueError; ' |
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483 'got %r instead' % (x, result)) |
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484 |
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485 |
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486 def test_from_hex(self): |
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487 MIN = self.MIN; |
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488 MAX = self.MAX; |
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489 TINY = self.TINY; |
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490 EPS = self.EPS; |
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491 |
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492 # two spellings of infinity, with optional signs; case-insensitive |
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493 self.identical(fromHex('inf'), INF) |
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494 self.identical(fromHex('+Inf'), INF) |
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495 self.identical(fromHex('-INF'), -INF) |
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496 self.identical(fromHex('iNf'), INF) |
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497 self.identical(fromHex('Infinity'), INF) |
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498 self.identical(fromHex('+INFINITY'), INF) |
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499 self.identical(fromHex('-infinity'), -INF) |
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500 self.identical(fromHex('-iNFiNitY'), -INF) |
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501 |
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502 # nans with optional sign; case insensitive |
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503 self.identical(fromHex('nan'), NAN) |
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504 self.identical(fromHex('+NaN'), NAN) |
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505 self.identical(fromHex('-NaN'), NAN) |
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506 self.identical(fromHex('-nAN'), NAN) |
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507 |
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508 # variations in input format |
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509 self.identical(fromHex('1'), 1.0) |
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510 self.identical(fromHex('+1'), 1.0) |
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511 self.identical(fromHex('1.'), 1.0) |
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512 self.identical(fromHex('1.0'), 1.0) |
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513 self.identical(fromHex('1.0p0'), 1.0) |
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514 self.identical(fromHex('01'), 1.0) |
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515 self.identical(fromHex('01.'), 1.0) |
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516 self.identical(fromHex('0x1'), 1.0) |
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517 self.identical(fromHex('0x1.'), 1.0) |
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518 self.identical(fromHex('0x1.0'), 1.0) |
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519 self.identical(fromHex('+0x1.0'), 1.0) |
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520 self.identical(fromHex('0x1p0'), 1.0) |
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521 self.identical(fromHex('0X1p0'), 1.0) |
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522 self.identical(fromHex('0X1P0'), 1.0) |
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523 self.identical(fromHex('0x1P0'), 1.0) |
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524 self.identical(fromHex('0x1.p0'), 1.0) |
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525 self.identical(fromHex('0x1.0p0'), 1.0) |
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526 self.identical(fromHex('0x.1p4'), 1.0) |
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527 self.identical(fromHex('0x.1p04'), 1.0) |
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528 self.identical(fromHex('0x.1p004'), 1.0) |
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529 self.identical(fromHex('0x1p+0'), 1.0) |
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530 self.identical(fromHex('0x1P-0'), 1.0) |
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531 self.identical(fromHex('+0x1p0'), 1.0) |
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532 self.identical(fromHex('0x01p0'), 1.0) |
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533 self.identical(fromHex('0x1p00'), 1.0) |
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534 self.identical(fromHex(' 0x1p0 '), 1.0) |
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535 self.identical(fromHex('\n 0x1p0'), 1.0) |
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536 self.identical(fromHex('0x1p0 \t'), 1.0) |
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537 self.identical(fromHex('0xap0'), 10.0) |
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538 self.identical(fromHex('0xAp0'), 10.0) |
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539 self.identical(fromHex('0xaP0'), 10.0) |
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540 self.identical(fromHex('0xAP0'), 10.0) |
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541 self.identical(fromHex('0xbep0'), 190.0) |
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542 self.identical(fromHex('0xBep0'), 190.0) |
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543 self.identical(fromHex('0xbEp0'), 190.0) |
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544 self.identical(fromHex('0XBE0P-4'), 190.0) |
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545 self.identical(fromHex('0xBEp0'), 190.0) |
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546 self.identical(fromHex('0xB.Ep4'), 190.0) |
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547 self.identical(fromHex('0x.BEp8'), 190.0) |
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548 self.identical(fromHex('0x.0BEp12'), 190.0) |
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549 |
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550 # moving the point around |
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551 pi = fromHex('0x1.921fb54442d18p1') |
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552 self.identical(fromHex('0x.006487ed5110b46p11'), pi) |
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553 self.identical(fromHex('0x.00c90fdaa22168cp10'), pi) |
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554 self.identical(fromHex('0x.01921fb54442d18p9'), pi) |
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555 self.identical(fromHex('0x.03243f6a8885a3p8'), pi) |
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556 self.identical(fromHex('0x.06487ed5110b46p7'), pi) |
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557 self.identical(fromHex('0x.0c90fdaa22168cp6'), pi) |
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558 self.identical(fromHex('0x.1921fb54442d18p5'), pi) |
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559 self.identical(fromHex('0x.3243f6a8885a3p4'), pi) |
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560 self.identical(fromHex('0x.6487ed5110b46p3'), pi) |
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561 self.identical(fromHex('0x.c90fdaa22168cp2'), pi) |
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562 self.identical(fromHex('0x1.921fb54442d18p1'), pi) |
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563 self.identical(fromHex('0x3.243f6a8885a3p0'), pi) |
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564 self.identical(fromHex('0x6.487ed5110b46p-1'), pi) |
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565 self.identical(fromHex('0xc.90fdaa22168cp-2'), pi) |
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566 self.identical(fromHex('0x19.21fb54442d18p-3'), pi) |
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567 self.identical(fromHex('0x32.43f6a8885a3p-4'), pi) |
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568 self.identical(fromHex('0x64.87ed5110b46p-5'), pi) |
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569 self.identical(fromHex('0xc9.0fdaa22168cp-6'), pi) |
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570 self.identical(fromHex('0x192.1fb54442d18p-7'), pi) |
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571 self.identical(fromHex('0x324.3f6a8885a3p-8'), pi) |
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572 self.identical(fromHex('0x648.7ed5110b46p-9'), pi) |
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573 self.identical(fromHex('0xc90.fdaa22168cp-10'), pi) |
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574 self.identical(fromHex('0x1921.fb54442d18p-11'), pi) |
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575 # ... |
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576 self.identical(fromHex('0x1921fb54442d1.8p-47'), pi) |
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577 self.identical(fromHex('0x3243f6a8885a3p-48'), pi) |
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578 self.identical(fromHex('0x6487ed5110b46p-49'), pi) |
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579 self.identical(fromHex('0xc90fdaa22168cp-50'), pi) |
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580 self.identical(fromHex('0x1921fb54442d18p-51'), pi) |
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581 self.identical(fromHex('0x3243f6a8885a30p-52'), pi) |
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582 self.identical(fromHex('0x6487ed5110b460p-53'), pi) |
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583 self.identical(fromHex('0xc90fdaa22168c0p-54'), pi) |
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584 self.identical(fromHex('0x1921fb54442d180p-55'), pi) |
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585 |
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586 |
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587 # results that should overflow... |
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588 self.assertRaises(OverflowError, fromHex, '-0x1p1024') |
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589 self.assertRaises(OverflowError, fromHex, '0x1p+1025') |
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590 self.assertRaises(OverflowError, fromHex, '+0X1p1030') |
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591 self.assertRaises(OverflowError, fromHex, '-0x1p+1100') |
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592 self.assertRaises(OverflowError, fromHex, '0X1p123456789123456789') |
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593 self.assertRaises(OverflowError, fromHex, '+0X.8p+1025') |
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594 self.assertRaises(OverflowError, fromHex, '+0x0.8p1025') |
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595 self.assertRaises(OverflowError, fromHex, '-0x0.4p1026') |
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596 self.assertRaises(OverflowError, fromHex, '0X2p+1023') |
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597 self.assertRaises(OverflowError, fromHex, '0x2.p1023') |
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598 self.assertRaises(OverflowError, fromHex, '-0x2.0p+1023') |
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599 self.assertRaises(OverflowError, fromHex, '+0X4p+1022') |
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600 self.assertRaises(OverflowError, fromHex, '0x1.ffffffffffffffp+1023') |
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601 self.assertRaises(OverflowError, fromHex, '-0X1.fffffffffffff9p1023') |
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602 self.assertRaises(OverflowError, fromHex, '0X1.fffffffffffff8p1023') |
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603 self.assertRaises(OverflowError, fromHex, '+0x3.fffffffffffffp1022') |
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604 self.assertRaises(OverflowError, fromHex, '0x3fffffffffffffp+970') |
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605 self.assertRaises(OverflowError, fromHex, '0x10000000000000000p960') |
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606 self.assertRaises(OverflowError, fromHex, '-0Xffffffffffffffffp960') |
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607 |
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608 # ...and those that round to +-max float |
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609 self.identical(fromHex('+0x1.fffffffffffffp+1023'), MAX) |
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610 self.identical(fromHex('-0X1.fffffffffffff7p1023'), -MAX) |
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611 self.identical(fromHex('0X1.fffffffffffff7fffffffffffffp1023'), MAX) |
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612 |
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613 # zeros |
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614 self.identical(fromHex('0x0p0'), 0.0) |
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615 self.identical(fromHex('0x0p1000'), 0.0) |
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616 self.identical(fromHex('-0x0p1023'), -0.0) |
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617 self.identical(fromHex('0X0p1024'), 0.0) |
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618 self.identical(fromHex('-0x0p1025'), -0.0) |
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619 self.identical(fromHex('0X0p2000'), 0.0) |
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620 self.identical(fromHex('0x0p123456789123456789'), 0.0) |
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621 self.identical(fromHex('-0X0p-0'), -0.0) |
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622 self.identical(fromHex('-0X0p-1000'), -0.0) |
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623 self.identical(fromHex('0x0p-1023'), 0.0) |
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624 self.identical(fromHex('-0X0p-1024'), -0.0) |
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625 self.identical(fromHex('-0x0p-1025'), -0.0) |
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626 self.identical(fromHex('-0x0p-1072'), -0.0) |
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627 self.identical(fromHex('0X0p-1073'), 0.0) |
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628 self.identical(fromHex('-0x0p-1074'), -0.0) |
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629 self.identical(fromHex('0x0p-1075'), 0.0) |
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630 self.identical(fromHex('0X0p-1076'), 0.0) |
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631 self.identical(fromHex('-0X0p-2000'), -0.0) |
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632 self.identical(fromHex('-0x0p-123456789123456789'), -0.0) |
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633 |
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634 # values that should underflow to 0 |
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635 self.identical(fromHex('0X1p-1075'), 0.0) |
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636 self.identical(fromHex('-0X1p-1075'), -0.0) |
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637 self.identical(fromHex('-0x1p-123456789123456789'), -0.0) |
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638 self.identical(fromHex('0x1.00000000000000001p-1075'), TINY) |
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639 self.identical(fromHex('-0x1.1p-1075'), -TINY) |
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640 self.identical(fromHex('0x1.fffffffffffffffffp-1075'), TINY) |
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641 |
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642 # check round-half-even is working correctly near 0 ... |
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643 self.identical(fromHex('0x1p-1076'), 0.0) |
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644 self.identical(fromHex('0X2p-1076'), 0.0) |
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645 self.identical(fromHex('0X3p-1076'), TINY) |
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646 self.identical(fromHex('0x4p-1076'), TINY) |
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647 self.identical(fromHex('0X5p-1076'), TINY) |
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648 self.identical(fromHex('0X6p-1076'), 2*TINY) |
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649 self.identical(fromHex('0x7p-1076'), 2*TINY) |
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650 self.identical(fromHex('0X8p-1076'), 2*TINY) |
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651 self.identical(fromHex('0X9p-1076'), 2*TINY) |
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652 self.identical(fromHex('0xap-1076'), 2*TINY) |
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653 self.identical(fromHex('0Xbp-1076'), 3*TINY) |
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654 self.identical(fromHex('0xcp-1076'), 3*TINY) |
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655 self.identical(fromHex('0Xdp-1076'), 3*TINY) |
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656 self.identical(fromHex('0Xep-1076'), 4*TINY) |
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657 self.identical(fromHex('0xfp-1076'), 4*TINY) |
|
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658 self.identical(fromHex('0x10p-1076'), 4*TINY) |
|
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659 self.identical(fromHex('-0x1p-1076'), -0.0) |
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660 self.identical(fromHex('-0X2p-1076'), -0.0) |
|
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661 self.identical(fromHex('-0x3p-1076'), -TINY) |
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662 self.identical(fromHex('-0X4p-1076'), -TINY) |
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663 self.identical(fromHex('-0x5p-1076'), -TINY) |
|
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664 self.identical(fromHex('-0x6p-1076'), -2*TINY) |
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665 self.identical(fromHex('-0X7p-1076'), -2*TINY) |
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666 self.identical(fromHex('-0X8p-1076'), -2*TINY) |
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667 self.identical(fromHex('-0X9p-1076'), -2*TINY) |
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668 self.identical(fromHex('-0Xap-1076'), -2*TINY) |
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669 self.identical(fromHex('-0xbp-1076'), -3*TINY) |
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670 self.identical(fromHex('-0xcp-1076'), -3*TINY) |
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671 self.identical(fromHex('-0Xdp-1076'), -3*TINY) |
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672 self.identical(fromHex('-0xep-1076'), -4*TINY) |
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673 self.identical(fromHex('-0Xfp-1076'), -4*TINY) |
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674 self.identical(fromHex('-0X10p-1076'), -4*TINY) |
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675 |
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676 # ... and near MIN ... |
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677 self.identical(fromHex('0x0.ffffffffffffd6p-1022'), MIN-3*TINY) |
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678 self.identical(fromHex('0x0.ffffffffffffd8p-1022'), MIN-2*TINY) |
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679 self.identical(fromHex('0x0.ffffffffffffdap-1022'), MIN-2*TINY) |
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680 self.identical(fromHex('0x0.ffffffffffffdcp-1022'), MIN-2*TINY) |
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681 self.identical(fromHex('0x0.ffffffffffffdep-1022'), MIN-2*TINY) |
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682 self.identical(fromHex('0x0.ffffffffffffe0p-1022'), MIN-2*TINY) |
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683 self.identical(fromHex('0x0.ffffffffffffe2p-1022'), MIN-2*TINY) |
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684 self.identical(fromHex('0x0.ffffffffffffe4p-1022'), MIN-2*TINY) |
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685 self.identical(fromHex('0x0.ffffffffffffe6p-1022'), MIN-2*TINY) |
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686 self.identical(fromHex('0x0.ffffffffffffe8p-1022'), MIN-2*TINY) |
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687 self.identical(fromHex('0x0.ffffffffffffeap-1022'), MIN-TINY) |
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688 self.identical(fromHex('0x0.ffffffffffffecp-1022'), MIN-TINY) |
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689 self.identical(fromHex('0x0.ffffffffffffeep-1022'), MIN-TINY) |
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690 self.identical(fromHex('0x0.fffffffffffff0p-1022'), MIN-TINY) |
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691 self.identical(fromHex('0x0.fffffffffffff2p-1022'), MIN-TINY) |
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692 self.identical(fromHex('0x0.fffffffffffff4p-1022'), MIN-TINY) |
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693 self.identical(fromHex('0x0.fffffffffffff6p-1022'), MIN-TINY) |
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694 self.identical(fromHex('0x0.fffffffffffff8p-1022'), MIN) |
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695 self.identical(fromHex('0x0.fffffffffffffap-1022'), MIN) |
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696 self.identical(fromHex('0x0.fffffffffffffcp-1022'), MIN) |
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697 self.identical(fromHex('0x0.fffffffffffffep-1022'), MIN) |
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698 self.identical(fromHex('0x1.00000000000000p-1022'), MIN) |
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699 self.identical(fromHex('0x1.00000000000002p-1022'), MIN) |
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700 self.identical(fromHex('0x1.00000000000004p-1022'), MIN) |
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701 self.identical(fromHex('0x1.00000000000006p-1022'), MIN) |
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702 self.identical(fromHex('0x1.00000000000008p-1022'), MIN) |
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703 self.identical(fromHex('0x1.0000000000000ap-1022'), MIN+TINY) |
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704 self.identical(fromHex('0x1.0000000000000cp-1022'), MIN+TINY) |
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705 self.identical(fromHex('0x1.0000000000000ep-1022'), MIN+TINY) |
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706 self.identical(fromHex('0x1.00000000000010p-1022'), MIN+TINY) |
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707 self.identical(fromHex('0x1.00000000000012p-1022'), MIN+TINY) |
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708 self.identical(fromHex('0x1.00000000000014p-1022'), MIN+TINY) |
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709 self.identical(fromHex('0x1.00000000000016p-1022'), MIN+TINY) |
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710 self.identical(fromHex('0x1.00000000000018p-1022'), MIN+2*TINY) |
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|
711 |
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712 # ... and near 1.0. |
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713 self.identical(fromHex('0x0.fffffffffffff0p0'), 1.0-EPS) |
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714 self.identical(fromHex('0x0.fffffffffffff1p0'), 1.0-EPS) |
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715 self.identical(fromHex('0X0.fffffffffffff2p0'), 1.0-EPS) |
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716 self.identical(fromHex('0x0.fffffffffffff3p0'), 1.0-EPS) |
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717 self.identical(fromHex('0X0.fffffffffffff4p0'), 1.0-EPS) |
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718 self.identical(fromHex('0X0.fffffffffffff5p0'), 1.0-EPS/2) |
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719 self.identical(fromHex('0X0.fffffffffffff6p0'), 1.0-EPS/2) |
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720 self.identical(fromHex('0x0.fffffffffffff7p0'), 1.0-EPS/2) |
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721 self.identical(fromHex('0x0.fffffffffffff8p0'), 1.0-EPS/2) |
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722 self.identical(fromHex('0X0.fffffffffffff9p0'), 1.0-EPS/2) |
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723 self.identical(fromHex('0X0.fffffffffffffap0'), 1.0-EPS/2) |
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724 self.identical(fromHex('0x0.fffffffffffffbp0'), 1.0-EPS/2) |
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725 self.identical(fromHex('0X0.fffffffffffffcp0'), 1.0) |
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726 self.identical(fromHex('0x0.fffffffffffffdp0'), 1.0) |
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727 self.identical(fromHex('0X0.fffffffffffffep0'), 1.0) |
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728 self.identical(fromHex('0x0.ffffffffffffffp0'), 1.0) |
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729 self.identical(fromHex('0X1.00000000000000p0'), 1.0) |
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730 self.identical(fromHex('0X1.00000000000001p0'), 1.0) |
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731 self.identical(fromHex('0x1.00000000000002p0'), 1.0) |
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732 self.identical(fromHex('0X1.00000000000003p0'), 1.0) |
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733 self.identical(fromHex('0x1.00000000000004p0'), 1.0) |
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734 self.identical(fromHex('0X1.00000000000005p0'), 1.0) |
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735 self.identical(fromHex('0X1.00000000000006p0'), 1.0) |
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736 self.identical(fromHex('0X1.00000000000007p0'), 1.0) |
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737 self.identical(fromHex('0x1.00000000000007ffffffffffffffffffffp0'), |
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738 1.0) |
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739 self.identical(fromHex('0x1.00000000000008p0'), 1.0) |
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740 self.identical(fromHex('0x1.00000000000008000000000000000001p0'), |
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741 1+EPS) |
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742 self.identical(fromHex('0X1.00000000000009p0'), 1.0+EPS) |
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743 self.identical(fromHex('0x1.0000000000000ap0'), 1.0+EPS) |
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744 self.identical(fromHex('0x1.0000000000000bp0'), 1.0+EPS) |
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745 self.identical(fromHex('0X1.0000000000000cp0'), 1.0+EPS) |
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746 self.identical(fromHex('0x1.0000000000000dp0'), 1.0+EPS) |
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747 self.identical(fromHex('0x1.0000000000000ep0'), 1.0+EPS) |
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748 self.identical(fromHex('0X1.0000000000000fp0'), 1.0+EPS) |
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749 self.identical(fromHex('0x1.00000000000010p0'), 1.0+EPS) |
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750 self.identical(fromHex('0X1.00000000000011p0'), 1.0+EPS) |
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751 self.identical(fromHex('0x1.00000000000012p0'), 1.0+EPS) |
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752 self.identical(fromHex('0X1.00000000000013p0'), 1.0+EPS) |
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753 self.identical(fromHex('0X1.00000000000014p0'), 1.0+EPS) |
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754 self.identical(fromHex('0x1.00000000000015p0'), 1.0+EPS) |
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755 self.identical(fromHex('0x1.00000000000016p0'), 1.0+EPS) |
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756 self.identical(fromHex('0X1.00000000000017p0'), 1.0+EPS) |
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757 self.identical(fromHex('0x1.00000000000017ffffffffffffffffffffp0'), |
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758 1.0+EPS) |
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759 self.identical(fromHex('0x1.00000000000018p0'), 1.0+2*EPS) |
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760 self.identical(fromHex('0X1.00000000000018000000000000000001p0'), |
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761 1.0+2*EPS) |
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762 self.identical(fromHex('0x1.00000000000019p0'), 1.0+2*EPS) |
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763 self.identical(fromHex('0X1.0000000000001ap0'), 1.0+2*EPS) |
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764 self.identical(fromHex('0X1.0000000000001bp0'), 1.0+2*EPS) |
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765 self.identical(fromHex('0x1.0000000000001cp0'), 1.0+2*EPS) |
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766 self.identical(fromHex('0x1.0000000000001dp0'), 1.0+2*EPS) |
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767 self.identical(fromHex('0x1.0000000000001ep0'), 1.0+2*EPS) |
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768 self.identical(fromHex('0X1.0000000000001fp0'), 1.0+2*EPS) |
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769 self.identical(fromHex('0x1.00000000000020p0'), 1.0+2*EPS) |
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770 |
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771 def test_roundtrip(self): |
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772 def roundtrip(x): |
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773 return fromHex(toHex(x)) |
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774 |
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775 for x in [NAN, INF, self.MAX, self.MIN, self.MIN-self.TINY, self.TINY, 0.0]: |
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776 self.identical(x, roundtrip(x)) |
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777 self.identical(-x, roundtrip(-x)) |
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778 |
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779 # fromHex(toHex(x)) should exactly recover x, for any non-NaN float x. |
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780 import random |
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781 for i in range(10000): |
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782 e = random.randrange(-1200, 1200) |
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783 m = random.random() |
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784 s = random.choice([1.0, -1.0]) |
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785 try: |
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786 x = s*ldexp(m, e) |
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787 except OverflowError: |
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788 pass |
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789 else: |
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790 self.identical(x, fromHex(toHex(x))) |
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791 |
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792 |
| 34972 | 793 def test_main(): |
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794 support.run_unittest( |
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795 GeneralFloatCases, |
| 34972 | 796 FormatFunctionsTestCase, |
| 797 UnknownFormatTestCase, | |
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798 IEEEFormatTestCase, |
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799 FormatTestCase, |
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800 ReprTestCase, |
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801 InfNanTest, |
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802 HexFloatTestCase, |
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803 ) |
| 34972 | 804 |
| 805 if __name__ == '__main__': | |
| 806 test_main() |
