annotate Lib/test/test_complex.py @ 60174:255a401c19b0

(partially) Merged revisions 79534,79537,79539,79558,79606 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r79534 | florent.xicluna | 2010-03-31 23:21:54 +0200 (mer, 31 mar 2010) | 2 lines Fix test for xml.etree when using a non-ascii path. And use check_warnings instead of catch_warnings. ........ r79537 | florent.xicluna | 2010-03-31 23:40:32 +0200 (mer, 31 mar 2010) | 2 lines Fix typo ........ r79539 | florent.xicluna | 2010-04-01 00:01:03 +0200 (jeu, 01 avr 2010) | 2 lines Replace catch_warnings with check_warnings when it makes sense. Use assertRaises context manager to simplify some tests. ........ r79558 | florent.xicluna | 2010-04-01 20:17:09 +0200 (jeu, 01 avr 2010) | 2 lines #7092: Fix some -3 warnings, and fix Lib/platform.py when the path contains a double-quote. ........ r79606 | florent.xicluna | 2010-04-02 19:26:42 +0200 (ven, 02 avr 2010) | 2 lines Backport some robotparser test and skip the test if the external resource is not available. ........
author Florent Xicluna <florent.xicluna@gmail.com>
date Fri, 02 Apr 2010 18:52:12 +0000
parents f65977dcf21a
children d6016fa58df6
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rev   line source
60174
255a401c19b0 (partially)
Florent Xicluna <florent.xicluna@gmail.com>
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1 import unittest
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2 from test import support
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3
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4 from random import random
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5 from math import atan2, isnan, copysign
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6 import operator
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7
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8 INF = float("inf")
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9 NAN = float("nan")
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10 # These tests ensure that complex math does the right thing
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11
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12 class ComplexTest(unittest.TestCase):
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13
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14 def assertAlmostEqual(self, a, b):
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15 if isinstance(a, complex):
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16 if isinstance(b, complex):
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17 unittest.TestCase.assertAlmostEqual(self, a.real, b.real)
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18 unittest.TestCase.assertAlmostEqual(self, a.imag, b.imag)
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19 else:
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20 unittest.TestCase.assertAlmostEqual(self, a.real, b)
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21 unittest.TestCase.assertAlmostEqual(self, a.imag, 0.)
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22 else:
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23 if isinstance(b, complex):
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24 unittest.TestCase.assertAlmostEqual(self, a, b.real)
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25 unittest.TestCase.assertAlmostEqual(self, 0., b.imag)
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26 else:
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27 unittest.TestCase.assertAlmostEqual(self, a, b)
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28
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29 def assertCloseAbs(self, x, y, eps=1e-9):
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30 """Return true iff floats x and y "are close\""""
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31 # put the one with larger magnitude second
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32 if abs(x) > abs(y):
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33 x, y = y, x
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34 if y == 0:
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35 return abs(x) < eps
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36 if x == 0:
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37 return abs(y) < eps
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38 # check that relative difference < eps
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39 self.assertTrue(abs((x-y)/y) < eps)
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40
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41 def assertFloatsAreIdentical(self, x, y):
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42 """assert that floats x and y are identical, in the sense that:
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43 (1) both x and y are nans, or
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44 (2) both x and y are infinities, with the same sign, or
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45 (3) both x and y are zeros, with the same sign, or
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46 (4) x and y are both finite and nonzero, and x == y
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47
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48 """
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49 msg = 'floats {!r} and {!r} are not identical'
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50
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51 if isnan(x) or isnan(y):
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52 if isnan(x) and isnan(y):
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53 return
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54 elif x == y:
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55 if x != 0.0:
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56 return
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57 # both zero; check that signs match
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58 elif copysign(1.0, x) == copysign(1.0, y):
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59 return
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60 else:
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61 msg += ': zeros have different signs'
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62 self.fail(msg.format(x, y))
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63
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64 def assertClose(self, x, y, eps=1e-9):
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65 """Return true iff complexes x and y "are close\""""
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66 self.assertCloseAbs(x.real, y.real, eps)
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67 self.assertCloseAbs(x.imag, y.imag, eps)
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68
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69 def check_div(self, x, y):
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70 """Compute complex z=x*y, and check that z/x==y and z/y==x."""
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71 z = x * y
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72 if x != 0:
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73 q = z / x
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74 self.assertClose(q, y)
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75 q = z.__truediv__(x)
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76 self.assertClose(q, y)
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77 if y != 0:
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78 q = z / y
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79 self.assertClose(q, x)
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80 q = z.__truediv__(y)
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81 self.assertClose(q, x)
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82
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83 def test_truediv(self):
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84 simple_real = [float(i) for i in range(-5, 6)]
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85 simple_complex = [complex(x, y) for x in simple_real for y in simple_real]
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86 for x in simple_complex:
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87 for y in simple_complex:
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88 self.check_div(x, y)
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89
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90 # A naive complex division algorithm (such as in 2.0) is very prone to
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91 # nonsense errors for these (overflows and underflows).
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92 self.check_div(complex(1e200, 1e200), 1+0j)
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93 self.check_div(complex(1e-200, 1e-200), 1+0j)
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94
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95 # Just for fun.
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96 for i in range(100):
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97 self.check_div(complex(random(), random()),
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98 complex(random(), random()))
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99
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100 self.assertRaises(ZeroDivisionError, complex.__truediv__, 1+1j, 0+0j)
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101 # FIXME: The following currently crashes on Alpha
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102 # self.assertRaises(OverflowError, pow, 1e200+1j, 1e200+1j)
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103
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104 def test_truediv(self):
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105 self.assertAlmostEqual(complex.__truediv__(2+0j, 1+1j), 1-1j)
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106 self.assertRaises(ZeroDivisionError, complex.__truediv__, 1+1j, 0+0j)
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107
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108 def test_floordiv(self):
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109 self.assertRaises(TypeError, complex.__floordiv__, 3+0j, 1.5+0j)
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110 self.assertRaises(TypeError, complex.__floordiv__, 3+0j, 0+0j)
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111
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112 def test_richcompare(self):
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113 self.assertRaises(OverflowError, complex.__eq__, 1+1j, 1<<10000)
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114 self.assertIs(complex.__lt__(1+1j, None), NotImplemented)
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115 self.assertIs(complex.__eq__(1+1j, 1+1j), True)
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116 self.assertIs(complex.__eq__(1+1j, 2+2j), False)
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117 self.assertIs(complex.__ne__(1+1j, 1+1j), False)
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118 self.assertIs(complex.__ne__(1+1j, 2+2j), True)
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119 self.assertIs(complex.__lt__(1+1j, 2+2j), NotImplemented)
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120 self.assertIs(complex.__le__(1+1j, 2+2j), NotImplemented)
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121 self.assertIs(complex.__gt__(1+1j, 2+2j), NotImplemented)
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122 self.assertIs(complex.__ge__(1+1j, 2+2j), NotImplemented)
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123 self.assertRaises(TypeError, operator.lt, 1+1j, 2+2j)
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124 self.assertRaises(TypeError, operator.le, 1+1j, 2+2j)
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125 self.assertRaises(TypeError, operator.gt, 1+1j, 2+2j)
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126 self.assertRaises(TypeError, operator.ge, 1+1j, 2+2j)
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127 self.assertIs(operator.eq(1+1j, 1+1j), True)
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128 self.assertIs(operator.eq(1+1j, 2+2j), False)
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129 self.assertIs(operator.ne(1+1j, 1+1j), False)
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130 self.assertIs(operator.ne(1+1j, 2+2j), True)
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131
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132 def test_mod(self):
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133 # % is no longer supported on complex numbers
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134 self.assertRaises(TypeError, (1+1j).__mod__, 0+0j)
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135 self.assertRaises(TypeError, lambda: (3.33+4.43j) % 0)
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136 self.assertRaises(TypeError, (1+1j).__mod__, 4.3j)
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137
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138 def test_divmod(self):
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139 self.assertRaises(TypeError, divmod, 1+1j, 1+0j)
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140 self.assertRaises(TypeError, divmod, 1+1j, 0+0j)
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141
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142 def test_pow(self):
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143 self.assertAlmostEqual(pow(1+1j, 0+0j), 1.0)
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144 self.assertAlmostEqual(pow(0+0j, 2+0j), 0.0)
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145 self.assertRaises(ZeroDivisionError, pow, 0+0j, 1j)
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146 self.assertAlmostEqual(pow(1j, -1), 1/1j)
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147 self.assertAlmostEqual(pow(1j, 200), 1)
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148 self.assertRaises(ValueError, pow, 1+1j, 1+1j, 1+1j)
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149
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150 a = 3.33+4.43j
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151 self.assertEqual(a ** 0j, 1)
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152 self.assertEqual(a ** 0.+0.j, 1)
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153
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154 self.assertEqual(3j ** 0j, 1)
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155 self.assertEqual(3j ** 0, 1)
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156
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157 try:
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158 0j ** a
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159 except ZeroDivisionError:
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160 pass
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161 else:
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162 self.fail("should fail 0.0 to negative or complex power")
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163
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164 try:
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165 0j ** (3-2j)
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166 except ZeroDivisionError:
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167 pass
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168 else:
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169 self.fail("should fail 0.0 to negative or complex power")
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170
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171 # The following is used to exercise certain code paths
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172 self.assertEqual(a ** 105, a ** 105)
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173 self.assertEqual(a ** -105, a ** -105)
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174 self.assertEqual(a ** -30, a ** -30)
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175
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176 self.assertEqual(0.0j ** 0, 1)
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177
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178 b = 5.1+2.3j
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179 self.assertRaises(ValueError, pow, a, b, 0)
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180
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181 def test_boolcontext(self):
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182 for i in range(100):
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183 self.assertTrue(complex(random() + 1e-6, random() + 1e-6))
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184 self.assertTrue(not complex(0.0, 0.0))
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185
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186 def test_conjugate(self):
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187 self.assertClose(complex(5.3, 9.8).conjugate(), 5.3-9.8j)
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188
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189 def test_constructor(self):
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190 class OS:
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191 def __init__(self, value): self.value = value
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192 def __complex__(self): return self.value
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193 class NS(object):
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194 def __init__(self, value): self.value = value
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195 def __complex__(self): return self.value
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196 self.assertEqual(complex(OS(1+10j)), 1+10j)
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197 self.assertEqual(complex(NS(1+10j)), 1+10j)
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198 self.assertRaises(TypeError, complex, OS(None))
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199 self.assertRaises(TypeError, complex, NS(None))
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200
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201 self.assertAlmostEqual(complex("1+10j"), 1+10j)
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202 self.assertAlmostEqual(complex(10), 10+0j)
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203 self.assertAlmostEqual(complex(10.0), 10+0j)
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204 self.assertAlmostEqual(complex(10), 10+0j)
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205 self.assertAlmostEqual(complex(10+0j), 10+0j)
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206 self.assertAlmostEqual(complex(1,10), 1+10j)
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207 self.assertAlmostEqual(complex(1,10), 1+10j)
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208 self.assertAlmostEqual(complex(1,10.0), 1+10j)
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diff changeset
209 self.assertAlmostEqual(complex(1,10), 1+10j)
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diff changeset
210 self.assertAlmostEqual(complex(1,10), 1+10j)
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diff changeset
211 self.assertAlmostEqual(complex(1,10.0), 1+10j)
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diff changeset
212 self.assertAlmostEqual(complex(1.0,10), 1+10j)
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diff changeset
213 self.assertAlmostEqual(complex(1.0,10), 1+10j)
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diff changeset
214 self.assertAlmostEqual(complex(1.0,10.0), 1+10j)
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parents: 24442
diff changeset
215 self.assertAlmostEqual(complex(3.14+0j), 3.14+0j)
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parents: 24442
diff changeset
216 self.assertAlmostEqual(complex(3.14), 3.14+0j)
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diff changeset
217 self.assertAlmostEqual(complex(314), 314.0+0j)
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diff changeset
218 self.assertAlmostEqual(complex(314), 314.0+0j)
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diff changeset
219 self.assertAlmostEqual(complex(3.14+0j, 0j), 3.14+0j)
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diff changeset
220 self.assertAlmostEqual(complex(3.14, 0.0), 3.14+0j)
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diff changeset
221 self.assertAlmostEqual(complex(314, 0), 314.0+0j)
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diff changeset
222 self.assertAlmostEqual(complex(314, 0), 314.0+0j)
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diff changeset
223 self.assertAlmostEqual(complex(0j, 3.14j), -3.14+0j)
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diff changeset
224 self.assertAlmostEqual(complex(0.0, 3.14j), -3.14+0j)
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diff changeset
225 self.assertAlmostEqual(complex(0j, 3.14), 3.14j)
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diff changeset
226 self.assertAlmostEqual(complex(0.0, 3.14), 3.14j)
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diff changeset
227 self.assertAlmostEqual(complex("1"), 1+0j)
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diff changeset
228 self.assertAlmostEqual(complex("1j"), 1j)
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diff changeset
229 self.assertAlmostEqual(complex(), 0)
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diff changeset
230 self.assertAlmostEqual(complex("-1"), -1)
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diff changeset
231 self.assertAlmostEqual(complex("+1"), +1)
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Guido van Rossum <guido@python.org>
parents: 40775
diff changeset
232 self.assertAlmostEqual(complex("(1+2j)"), 1+2j)
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diff changeset
233 self.assertAlmostEqual(complex("(1.3+2.2j)"), 1.3+2.2j)
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Mark Dickinson <dickinsm@gmail.com>
parents: 47555
diff changeset
234 self.assertAlmostEqual(complex("3.14+1J"), 3.14+1j)
330115137414 Issue #5816: Simplify code for parsing and printing of complex numbers.
Mark Dickinson <dickinsm@gmail.com>
parents: 47555
diff changeset
235 self.assertAlmostEqual(complex(" ( +3.14-6J )"), 3.14-6j)
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06db1d9d255f Make sure that complex parsing code and corresponding tests
Mark Dickinson <dickinsm@gmail.com>
parents: 53332
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236 self.assertAlmostEqual(complex(" ( +3.14-J )"), 3.14-1j)
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237 self.assertAlmostEqual(complex(" ( +3.14+j )"), 3.14+1j)
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238 self.assertAlmostEqual(complex("J"), 1j)
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239 self.assertAlmostEqual(complex("( j )"), 1j)
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240 self.assertAlmostEqual(complex("+J"), 1j)
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241 self.assertAlmostEqual(complex("( -j)"), -1j)
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242 self.assertAlmostEqual(complex('1e-500'), 0.0 + 0.0j)
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243 self.assertAlmostEqual(complex('-1e-500j'), 0.0 - 0.0j)
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244 self.assertAlmostEqual(complex('-1e-500+1e-500j'), -0.0 + 0.0j)
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245
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246 class complex2(complex): pass
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247 self.assertAlmostEqual(complex(complex2(1+1j)), 1+1j)
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248 self.assertAlmostEqual(complex(real=17, imag=23), 17+23j)
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249 self.assertAlmostEqual(complex(real=17+23j), 17+23j)
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250 self.assertAlmostEqual(complex(real=17+23j, imag=23), 17+46j)
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251 self.assertAlmostEqual(complex(real=1+2j, imag=3+4j), -3+5j)
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252
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253 # check that the sign of a zero in the real or imaginary part
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254 # is preserved when constructing from two floats. (These checks
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255 # are harmless on systems without support for signed zeros.)
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256 def split_zeros(x):
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257 """Function that produces different results for 0. and -0."""
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258 return atan2(x, -1.)
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259
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260 self.assertEqual(split_zeros(complex(1., 0.).imag), split_zeros(0.))
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261 self.assertEqual(split_zeros(complex(1., -0.).imag), split_zeros(-0.))
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262 self.assertEqual(split_zeros(complex(0., 1.).real), split_zeros(0.))
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263 self.assertEqual(split_zeros(complex(-0., 1.).real), split_zeros(-0.))
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264
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265 c = 3.14 + 1j
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266 self.assertTrue(complex(c) is c)
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267 del c
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268
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269 self.assertRaises(TypeError, complex, "1", "1")
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270 self.assertRaises(TypeError, complex, 1, "1")
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271
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272 # SF bug 543840: complex(string) accepts strings with \0
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273 # Fixed in 2.3.
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274 self.assertRaises(ValueError, complex, '1+1j\0j')
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275
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276 self.assertRaises(TypeError, int, 5+3j)
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277 self.assertRaises(TypeError, int, 5+3j)
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278 self.assertRaises(TypeError, float, 5+3j)
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279 self.assertRaises(ValueError, complex, "")
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280 self.assertRaises(TypeError, complex, None)
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281 self.assertRaises(ValueError, complex, "\0")
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282 self.assertRaises(ValueError, complex, "3\09")
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283 self.assertRaises(TypeError, complex, "1", "2")
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284 self.assertRaises(TypeError, complex, "1", 42)
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285 self.assertRaises(TypeError, complex, 1, "2")
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286 self.assertRaises(ValueError, complex, "1+")
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287 self.assertRaises(ValueError, complex, "1+1j+1j")
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288 self.assertRaises(ValueError, complex, "--")
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289 self.assertRaises(ValueError, complex, "(1+2j")
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290 self.assertRaises(ValueError, complex, "1+2j)")
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291 self.assertRaises(ValueError, complex, "1+(2j)")
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292 self.assertRaises(ValueError, complex, "(1+2j)123")
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293 self.assertRaises(ValueError, complex, "x")
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294 self.assertRaises(ValueError, complex, "1j+2")
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295 self.assertRaises(ValueError, complex, "1e1ej")
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296 self.assertRaises(ValueError, complex, "1e++1ej")
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297 self.assertRaises(ValueError, complex, ")1+2j(")
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298 # the following three are accepted by Python 2.6
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299 self.assertRaises(ValueError, complex, "1..1j")
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300 self.assertRaises(ValueError, complex, "1.11.1j")
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301 self.assertRaises(ValueError, complex, "1e1.1j")
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302
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303 # check that complex accepts long unicode strings
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304 self.assertEqual(type(complex("1"*500)), complex)
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305
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306 class EvilExc(Exception):
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307 pass
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308
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309 class evilcomplex:
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310 def __complex__(self):
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311 raise EvilExc
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312
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313 self.assertRaises(EvilExc, complex, evilcomplex())
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314
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315 class float2:
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316 def __init__(self, value):
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317 self.value = value
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318 def __float__(self):
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319 return self.value
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320
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321 self.assertAlmostEqual(complex(float2(42.)), 42)
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322 self.assertAlmostEqual(complex(real=float2(17.), imag=float2(23.)), 17+23j)
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323 self.assertRaises(TypeError, complex, float2(None))
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324
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325 class complex0(complex):
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326 """Test usage of __complex__() when inheriting from 'complex'"""
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327 def __complex__(self):
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328 return 42j
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329
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330 class complex1(complex):
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331 """Test usage of __complex__() with a __new__() method"""
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332 def __new__(self, value=0j):
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333 return complex.__new__(self, 2*value)
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334 def __complex__(self):
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335 return self
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336
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337 class complex2(complex):
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338 """Make sure that __complex__() calls fail if anything other than a
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339 complex is returned"""
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340 def __complex__(self):
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341 return None
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342
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343 self.assertAlmostEqual(complex(complex0(1j)), 42j)
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344 self.assertAlmostEqual(complex(complex1(1j)), 2j)
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345 self.assertRaises(TypeError, complex, complex2(1j))
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346
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347 def test_hash(self):
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348 for x in range(-30, 30):
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349 self.assertEqual(hash(x), hash(complex(x, 0)))
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350 x /= 3.0 # now check against floating point
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351 self.assertEqual(hash(x), hash(complex(x, 0.)))
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352
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353 def test_abs(self):
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354 nums = [complex(x/3., y/7.) for x in range(-9,9) for y in range(-9,9)]
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355 for num in nums:
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356 self.assertAlmostEqual((num.real**2 + num.imag**2) ** 0.5, abs(num))
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357
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358 def test_repr(self):
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359 self.assertEqual(repr(1+6j), '(1+6j)')
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360 self.assertEqual(repr(1-6j), '(1-6j)')
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361
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362 self.assertNotEqual(repr(-(1+0j)), '(-1+-0j)')
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363
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364 self.assertEqual(1-6j,complex(repr(1-6j)))
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365 self.assertEqual(1+6j,complex(repr(1+6j)))
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366 self.assertEqual(-6j,complex(repr(-6j)))
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367 self.assertEqual(6j,complex(repr(6j)))
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368
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369 self.assertEqual(repr(complex(1., INF)), "(1+infj)")
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370 self.assertEqual(repr(complex(1., -INF)), "(1-infj)")
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371 self.assertEqual(repr(complex(INF, 1)), "(inf+1j)")
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372 self.assertEqual(repr(complex(-INF, INF)), "(-inf+infj)")
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373 self.assertEqual(repr(complex(NAN, 1)), "(nan+1j)")
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374 self.assertEqual(repr(complex(1, NAN)), "(1+nanj)")
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375 self.assertEqual(repr(complex(NAN, NAN)), "(nan+nanj)")
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376
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377 self.assertEqual(repr(complex(0, INF)), "infj")
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378 self.assertEqual(repr(complex(0, -INF)), "-infj")
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379 self.assertEqual(repr(complex(0, NAN)), "nanj")
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380
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381 def test_neg(self):
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382 self.assertEqual(-(1+6j), -1-6j)
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383
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384 def test_file(self):
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385 a = 3.33+4.43j
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386 b = 5.1+2.3j
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387
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388 fo = None
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389 try:
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390 fo = open(support.TESTFN, "w")
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391 print(a, b, file=fo)
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392 fo.close()
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393 fo = open(support.TESTFN, "r")
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394 self.assertEqual(fo.read(), ("%s %s\n" % (a, b)))
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395 finally:
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396 if (fo is not None) and (not fo.closed):
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397 fo.close()
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398 support.unlink(support.TESTFN)
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399
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400 def test_getnewargs(self):
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401 self.assertEqual((1+2j).__getnewargs__(), (1.0, 2.0))
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402 self.assertEqual((1-2j).__getnewargs__(), (1.0, -2.0))
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403 self.assertEqual((2j).__getnewargs__(), (0.0, 2.0))
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404 self.assertEqual((-0j).__getnewargs__(), (0.0, -0.0))
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405 self.assertEqual(complex(0, INF).__getnewargs__(), (0.0, INF))
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406 self.assertEqual(complex(INF, 0).__getnewargs__(), (INF, 0.0))
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407
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408 if float.__getformat__("double").startswith("IEEE"):
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409 def test_plus_minus_0j(self):
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410 # test that -0j and 0j literals are not identified
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411 z1, z2 = 0j, -0j
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412 self.assertEquals(atan2(z1.imag, -1.), atan2(0., -1.))
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413 self.assertEquals(atan2(z2.imag, -1.), atan2(-0., -1.))
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414
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415 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"),
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416 "test requires IEEE 754 doubles")
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417 def test_overflow(self):
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418 self.assertEqual(complex("1e500"), complex(INF, 0.0))
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419 self.assertEqual(complex("-1e500j"), complex(0.0, -INF))
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420 self.assertEqual(complex("-1e500+1.8e308j"), complex(-INF, INF))
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421
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422 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"),
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423 "test requires IEEE 754 doubles")
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424 def test_repr_roundtrip(self):
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425 vals = [0.0, 1e-500, 1e-315, 1e-200, 0.0123, 3.1415, 1e50, INF, NAN]
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426 vals += [-v for v in vals]
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427
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428 # complex(repr(z)) should recover z exactly, even for complex
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429 # numbers involving an infinity, nan, or negative zero
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430 for x in vals:
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431 for y in vals:
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432 z = complex(x, y)
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433 roundtrip = complex(repr(z))
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434 self.assertFloatsAreIdentical(z.real, roundtrip.real)
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435 self.assertFloatsAreIdentical(z.imag, roundtrip.imag)
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436
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437 # if we predefine some constants, then eval(repr(z)) should
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438 # also work, except that it might change the sign of zeros
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439 inf, nan = float('inf'), float('nan')
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440 infj, nanj = complex(0.0, inf), complex(0.0, nan)
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441 for x in vals:
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442 for y in vals:
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443 z = complex(x, y)
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444 roundtrip = eval(repr(z))
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445 # adding 0.0 has no effect beside changing -0.0 to 0.0
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446 self.assertFloatsAreIdentical(0.0 + z.real,
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447 0.0 + roundtrip.real)
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448 self.assertFloatsAreIdentical(0.0 + z.imag,
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449 0.0 + roundtrip.imag)
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450
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451 def test_format(self):
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452 # empty format string is same as str()
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453 self.assertEqual(format(1+3j, ''), str(1+3j))
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454 self.assertEqual(format(1.5+3.5j, ''), str(1.5+3.5j))
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455 self.assertEqual(format(3j, ''), str(3j))
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456 self.assertEqual(format(3.2j, ''), str(3.2j))
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457 self.assertEqual(format(3+0j, ''), str(3+0j))
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458 self.assertEqual(format(3.2+0j, ''), str(3.2+0j))
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459
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460 # empty presentation type should still be analogous to str,
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diff changeset
461 # even when format string is nonempty (issue #5920).
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53632
diff changeset
462 self.assertEqual(format(3.2+0j, '-'), str(3.2+0j))
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53632
diff changeset
463 self.assertEqual(format(3.2+0j, '<'), str(3.2+0j))
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53632
diff changeset
464 z = 4/7. - 100j/7.
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53632
diff changeset
465 self.assertEqual(format(z, ''), str(z))
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53632
diff changeset
466 self.assertEqual(format(z, '-'), str(z))
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53632
diff changeset
467 self.assertEqual(format(z, '<'), str(z))
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53632
diff changeset
468 self.assertEqual(format(z, '10'), str(z))
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
Eric Smith <eric@trueblade.com>
parents: 53632
diff changeset
469
53632
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
470 self.assertEqual(format(1+3j, 'g'), '1+3j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
471 self.assertEqual(format(3j, 'g'), '0+3j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
472 self.assertEqual(format(1.5+3.5j, 'g'), '1.5+3.5j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
473
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
474 self.assertEqual(format(1.5+3.5j, '+g'), '+1.5+3.5j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
475 self.assertEqual(format(1.5-3.5j, '+g'), '+1.5-3.5j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
476 self.assertEqual(format(1.5-3.5j, '-g'), '1.5-3.5j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
477 self.assertEqual(format(1.5+3.5j, ' g'), ' 1.5+3.5j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
478 self.assertEqual(format(1.5-3.5j, ' g'), ' 1.5-3.5j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
479 self.assertEqual(format(-1.5+3.5j, ' g'), '-1.5+3.5j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
480 self.assertEqual(format(-1.5-3.5j, ' g'), '-1.5-3.5j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
481
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
482 self.assertEqual(format(-1.5-3.5e-20j, 'g'), '-1.5-3.5e-20j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
483 self.assertEqual(format(-1.5-3.5j, 'f'), '-1.500000-3.500000j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
484 self.assertEqual(format(-1.5-3.5j, 'F'), '-1.500000-3.500000j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
485 self.assertEqual(format(-1.5-3.5j, 'e'), '-1.500000e+00-3.500000e+00j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
486 self.assertEqual(format(-1.5-3.5j, '.2e'), '-1.50e+00-3.50e+00j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
487 self.assertEqual(format(-1.5-3.5j, '.2E'), '-1.50E+00-3.50E+00j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
488 self.assertEqual(format(-1.5e10-3.5e5j, '.2G'), '-1.5E+10-3.5E+05j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
489
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
490 self.assertEqual(format(1.5+3j, '<20g'), '1.5+3j ')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
491 self.assertEqual(format(1.5+3j, '*<20g'), '1.5+3j**************')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
492 self.assertEqual(format(1.5+3j, '>20g'), ' 1.5+3j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
493 self.assertEqual(format(1.5+3j, '^20g'), ' 1.5+3j ')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
494 self.assertEqual(format(1.5+3j, '<20'), '(1.5+3j) ')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
495 self.assertEqual(format(1.5+3j, '>20'), ' (1.5+3j)')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
496 self.assertEqual(format(1.5+3j, '^20'), ' (1.5+3j) ')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
497 self.assertEqual(format(1.123-3.123j, '^20.2'), ' (1.1-3.1j) ')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
498
59027
5c4466b16d6d Merged revisions 78329 via svnmerge from
Eric Smith <eric@trueblade.com>
parents: 58966
diff changeset
499 self.assertEqual(format(1.5+3j, '20.2f'), ' 1.50+3.00j')
5c4466b16d6d Merged revisions 78329 via svnmerge from
Eric Smith <eric@trueblade.com>
parents: 58966
diff changeset
500 self.assertEqual(format(1.5+3j, '>20.2f'), ' 1.50+3.00j')
53632
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
501 self.assertEqual(format(1.5+3j, '<20.2f'), '1.50+3.00j ')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
502 self.assertEqual(format(1.5e20+3j, '<20.2f'), '150000000000000000000.00+3.00j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
503 self.assertEqual(format(1.5e20+3j, '>40.2f'), ' 150000000000000000000.00+3.00j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
504 self.assertEqual(format(1.5e20+3j, '^40,.2f'), ' 150,000,000,000,000,000,000.00+3.00j ')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
505 self.assertEqual(format(1.5e21+3j, '^40,.2f'), ' 1,500,000,000,000,000,000,000.00+3.00j ')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
506 self.assertEqual(format(1.5e21+3000j, ',.2f'), '1,500,000,000,000,000,000,000.00+3,000.00j')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
507
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
508 # alternate is invalid
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
509 self.assertRaises(ValueError, (1.5+0.5j).__format__, '#f')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
510
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
511 # zero padding is invalid
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
512 self.assertRaises(ValueError, (1.5+0.5j).__format__, '010f')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
513
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
514 # '=' alignment is invalid
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
515 self.assertRaises(ValueError, (1.5+3j).__format__, '=20')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
516
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
517 # integer presentation types are an error
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
518 for t in 'bcdoxX':
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
519 self.assertRaises(ValueError, (1.5+0.5j).__format__, t)
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
520
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
521 # make sure everything works in ''.format()
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
522 self.assertEqual('*{0:.3f}*'.format(3.14159+2.71828j), '*3.142+2.718j*')
53332
330115137414 Issue #5816: Simplify code for parsing and printing of complex numbers.
Mark Dickinson <dickinsm@gmail.com>
parents: 47555
diff changeset
523
53849
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
524 # issue 3382
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
525 self.assertEqual(format(complex(NAN, NAN), 'f'), 'nan+nanj')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
526 self.assertEqual(format(complex(1, NAN), 'f'), '1.000000+nanj')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
527 self.assertEqual(format(complex(NAN, 1), 'f'), 'nan+1.000000j')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
528 self.assertEqual(format(complex(NAN, -1), 'f'), 'nan-1.000000j')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
529 self.assertEqual(format(complex(NAN, NAN), 'F'), 'NAN+NANj')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
530 self.assertEqual(format(complex(1, NAN), 'F'), '1.000000+NANj')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
531 self.assertEqual(format(complex(NAN, 1), 'F'), 'NAN+1.000000j')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
532 self.assertEqual(format(complex(NAN, -1), 'F'), 'NAN-1.000000j')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
533 self.assertEqual(format(complex(INF, INF), 'f'), 'inf+infj')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
534 self.assertEqual(format(complex(1, INF), 'f'), '1.000000+infj')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
535 self.assertEqual(format(complex(INF, 1), 'f'), 'inf+1.000000j')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
536 self.assertEqual(format(complex(INF, -1), 'f'), 'inf-1.000000j')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
537 self.assertEqual(format(complex(INF, INF), 'F'), 'INF+INFj')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
538 self.assertEqual(format(complex(1, INF), 'F'), '1.000000+INFj')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
539 self.assertEqual(format(complex(INF, 1), 'F'), 'INF+1.000000j')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
540 self.assertEqual(format(complex(INF, -1), 'F'), 'INF-1.000000j')
04bdc944718a Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
Eric Smith <eric@trueblade.com>
parents: 53787
diff changeset
541
29532
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
542 def test_main():
47201
9c930a32cebb #2621 rename test.test_support to test.support
Benjamin Peterson <benjamin@python.org>
parents: 45371
diff changeset
543 support.run_unittest(ComplexTest)
29532
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
544
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
545 if __name__ == "__main__":
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
546 test_main()