annotate Lib/test/test_complex.py @ 62799:dcc2e8bf64cf

Fix: Issue9091 Minor documentation clarification.
author Senthil Kumaran <orsenthil@gmail.com>
date Mon, 05 Jul 2010 11:41:42 +0000
parents 2bc54da4b82c
children 897fd51051bb
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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Florent Xicluna <florent.xicluna@gmail.com>
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1 import unittest
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Benjamin Peterson <benjamin@python.org>
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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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Christian Heimes <christian@cheimes.de>
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8 INF = float("inf")
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Christian Heimes <christian@cheimes.de>
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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.assertIs(complex.__eq__(1+1j, 1<<10000), False)
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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 for i in range(1, 100):
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120 f = i / 100.0
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121 self.assertIs(complex.__eq__(f+0j, f), True)
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122 self.assertIs(complex.__ne__(f+0j, f), False)
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123 self.assertIs(complex.__eq__(complex(f, f), f), False)
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124 self.assertIs(complex.__ne__(complex(f, f), f), True)
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125 self.assertIs(complex.__lt__(1+1j, 2+2j), NotImplemented)
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126 self.assertIs(complex.__le__(1+1j, 2+2j), NotImplemented)
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127 self.assertIs(complex.__gt__(1+1j, 2+2j), NotImplemented)
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128 self.assertIs(complex.__ge__(1+1j, 2+2j), NotImplemented)
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129 self.assertRaises(TypeError, operator.lt, 1+1j, 2+2j)
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130 self.assertRaises(TypeError, operator.le, 1+1j, 2+2j)
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131 self.assertRaises(TypeError, operator.gt, 1+1j, 2+2j)
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132 self.assertRaises(TypeError, operator.ge, 1+1j, 2+2j)
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133 self.assertIs(operator.eq(1+1j, 1+1j), True)
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134 self.assertIs(operator.eq(1+1j, 2+2j), False)
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135 self.assertIs(operator.ne(1+1j, 1+1j), False)
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136 self.assertIs(operator.ne(1+1j, 2+2j), True)
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137
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138 def test_richcompare_boundaries(self):
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139 def check(n, deltas, is_equal, imag = 0.0):
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140 for delta in deltas:
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141 i = n + delta
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142 z = complex(i, imag)
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143 self.assertIs(complex.__eq__(z, i), is_equal(delta))
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144 self.assertIs(complex.__ne__(z, i), not is_equal(delta))
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145 # For IEEE-754 doubles the following should hold:
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146 # x in [2 ** (52 + i), 2 ** (53 + i + 1)] -> x mod 2 ** i == 0
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147 # where the interval is representable, of course.
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148 for i in range(1, 10):
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149 pow = 52 + i
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150 mult = 2 ** i
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151 check(2 ** pow, range(1, 101), lambda delta: delta % mult == 0)
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152 check(2 ** pow, range(1, 101), lambda delta: False, float(i))
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153 check(2 ** 53, range(-100, 0), lambda delta: True)
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154
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155 def test_mod(self):
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156 # % is no longer supported on complex numbers
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157 self.assertRaises(TypeError, (1+1j).__mod__, 0+0j)
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158 self.assertRaises(TypeError, lambda: (3.33+4.43j) % 0)
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159 self.assertRaises(TypeError, (1+1j).__mod__, 4.3j)
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160
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161 def test_divmod(self):
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162 self.assertRaises(TypeError, divmod, 1+1j, 1+0j)
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163 self.assertRaises(TypeError, divmod, 1+1j, 0+0j)
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164
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165 def test_pow(self):
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166 self.assertAlmostEqual(pow(1+1j, 0+0j), 1.0)
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167 self.assertAlmostEqual(pow(0+0j, 2+0j), 0.0)
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168 self.assertRaises(ZeroDivisionError, pow, 0+0j, 1j)
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169 self.assertAlmostEqual(pow(1j, -1), 1/1j)
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170 self.assertAlmostEqual(pow(1j, 200), 1)
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171 self.assertRaises(ValueError, pow, 1+1j, 1+1j, 1+1j)
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172
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173 a = 3.33+4.43j
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174 self.assertEqual(a ** 0j, 1)
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175 self.assertEqual(a ** 0.+0.j, 1)
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176
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177 self.assertEqual(3j ** 0j, 1)
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178 self.assertEqual(3j ** 0, 1)
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179
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180 try:
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181 0j ** a
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182 except ZeroDivisionError:
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183 pass
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184 else:
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185 self.fail("should fail 0.0 to negative or complex power")
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186
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187 try:
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188 0j ** (3-2j)
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189 except ZeroDivisionError:
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190 pass
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191 else:
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192 self.fail("should fail 0.0 to negative or complex power")
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193
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194 # The following is used to exercise certain code paths
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195 self.assertEqual(a ** 105, a ** 105)
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196 self.assertEqual(a ** -105, a ** -105)
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197 self.assertEqual(a ** -30, a ** -30)
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198
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199 self.assertEqual(0.0j ** 0, 1)
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200
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201 b = 5.1+2.3j
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202 self.assertRaises(ValueError, pow, a, b, 0)
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203
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204 def test_boolcontext(self):
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205 for i in range(100):
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206 self.assertTrue(complex(random() + 1e-6, random() + 1e-6))
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207 self.assertTrue(not complex(0.0, 0.0))
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208
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209 def test_conjugate(self):
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210 self.assertClose(complex(5.3, 9.8).conjugate(), 5.3-9.8j)
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211
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212 def test_constructor(self):
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213 class OS:
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214 def __init__(self, value): self.value = value
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215 def __complex__(self): return self.value
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216 class NS(object):
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217 def __init__(self, value): self.value = value
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218 def __complex__(self): return self.value
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219 self.assertEqual(complex(OS(1+10j)), 1+10j)
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220 self.assertEqual(complex(NS(1+10j)), 1+10j)
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221 self.assertRaises(TypeError, complex, OS(None))
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222 self.assertRaises(TypeError, complex, NS(None))
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223
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224 self.assertAlmostEqual(complex("1+10j"), 1+10j)
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225 self.assertAlmostEqual(complex(10), 10+0j)
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226 self.assertAlmostEqual(complex(10.0), 10+0j)
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227 self.assertAlmostEqual(complex(10), 10+0j)
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228 self.assertAlmostEqual(complex(10+0j), 10+0j)
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229 self.assertAlmostEqual(complex(1,10), 1+10j)
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230 self.assertAlmostEqual(complex(1,10), 1+10j)
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231 self.assertAlmostEqual(complex(1,10.0), 1+10j)
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232 self.assertAlmostEqual(complex(1,10), 1+10j)
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233 self.assertAlmostEqual(complex(1,10), 1+10j)
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234 self.assertAlmostEqual(complex(1,10.0), 1+10j)
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235 self.assertAlmostEqual(complex(1.0,10), 1+10j)
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236 self.assertAlmostEqual(complex(1.0,10), 1+10j)
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237 self.assertAlmostEqual(complex(1.0,10.0), 1+10j)
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238 self.assertAlmostEqual(complex(3.14+0j), 3.14+0j)
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239 self.assertAlmostEqual(complex(3.14), 3.14+0j)
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240 self.assertAlmostEqual(complex(314), 314.0+0j)
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241 self.assertAlmostEqual(complex(314), 314.0+0j)
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242 self.assertAlmostEqual(complex(3.14+0j, 0j), 3.14+0j)
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243 self.assertAlmostEqual(complex(3.14, 0.0), 3.14+0j)
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244 self.assertAlmostEqual(complex(314, 0), 314.0+0j)
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245 self.assertAlmostEqual(complex(314, 0), 314.0+0j)
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246 self.assertAlmostEqual(complex(0j, 3.14j), -3.14+0j)
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247 self.assertAlmostEqual(complex(0.0, 3.14j), -3.14+0j)
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248 self.assertAlmostEqual(complex(0j, 3.14), 3.14j)
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249 self.assertAlmostEqual(complex(0.0, 3.14), 3.14j)
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250 self.assertAlmostEqual(complex("1"), 1+0j)
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251 self.assertAlmostEqual(complex("1j"), 1j)
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252 self.assertAlmostEqual(complex(), 0)
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253 self.assertAlmostEqual(complex("-1"), -1)
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254 self.assertAlmostEqual(complex("+1"), +1)
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255 self.assertAlmostEqual(complex("(1+2j)"), 1+2j)
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256 self.assertAlmostEqual(complex("(1.3+2.2j)"), 1.3+2.2j)
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257 self.assertAlmostEqual(complex("3.14+1J"), 3.14+1j)
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258 self.assertAlmostEqual(complex(" ( +3.14-6J )"), 3.14-6j)
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259 self.assertAlmostEqual(complex(" ( +3.14-J )"), 3.14-1j)
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260 self.assertAlmostEqual(complex(" ( +3.14+j )"), 3.14+1j)
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261 self.assertAlmostEqual(complex("J"), 1j)
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262 self.assertAlmostEqual(complex("( j )"), 1j)
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263 self.assertAlmostEqual(complex("+J"), 1j)
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264 self.assertAlmostEqual(complex("( -j)"), -1j)
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265 self.assertAlmostEqual(complex('1e-500'), 0.0 + 0.0j)
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266 self.assertAlmostEqual(complex('-1e-500j'), 0.0 - 0.0j)
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267 self.assertAlmostEqual(complex('-1e-500+1e-500j'), -0.0 + 0.0j)
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268
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269 class complex2(complex): pass
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270 self.assertAlmostEqual(complex(complex2(1+1j)), 1+1j)
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271 self.assertAlmostEqual(complex(real=17, imag=23), 17+23j)
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272 self.assertAlmostEqual(complex(real=17+23j), 17+23j)
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273 self.assertAlmostEqual(complex(real=17+23j, imag=23), 17+46j)
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274 self.assertAlmostEqual(complex(real=1+2j, imag=3+4j), -3+5j)
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275
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276 # check that the sign of a zero in the real or imaginary part
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277 # is preserved when constructing from two floats. (These checks
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278 # are harmless on systems without support for signed zeros.)
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279 def split_zeros(x):
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280 """Function that produces different results for 0. and -0."""
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281 return atan2(x, -1.)
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282
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283 self.assertEqual(split_zeros(complex(1., 0.).imag), split_zeros(0.))
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284 self.assertEqual(split_zeros(complex(1., -0.).imag), split_zeros(-0.))
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285 self.assertEqual(split_zeros(complex(0., 1.).real), split_zeros(0.))
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286 self.assertEqual(split_zeros(complex(-0., 1.).real), split_zeros(-0.))
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287
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288 c = 3.14 + 1j
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289 self.assertTrue(complex(c) is c)
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290 del c
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291
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292 self.assertRaises(TypeError, complex, "1", "1")
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293 self.assertRaises(TypeError, complex, 1, "1")
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294
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295 # SF bug 543840: complex(string) accepts strings with \0
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296 # Fixed in 2.3.
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297 self.assertRaises(ValueError, complex, '1+1j\0j')
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298
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299 self.assertRaises(TypeError, int, 5+3j)
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300 self.assertRaises(TypeError, int, 5+3j)
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301 self.assertRaises(TypeError, float, 5+3j)
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302 self.assertRaises(ValueError, complex, "")
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303 self.assertRaises(TypeError, complex, None)
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304 self.assertRaises(ValueError, complex, "\0")
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305 self.assertRaises(ValueError, complex, "3\09")
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306 self.assertRaises(TypeError, complex, "1", "2")
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307 self.assertRaises(TypeError, complex, "1", 42)
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308 self.assertRaises(TypeError, complex, 1, "2")
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309 self.assertRaises(ValueError, complex, "1+")
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310 self.assertRaises(ValueError, complex, "1+1j+1j")
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311 self.assertRaises(ValueError, complex, "--")
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312 self.assertRaises(ValueError, complex, "(1+2j")
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313 self.assertRaises(ValueError, complex, "1+2j)")
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314 self.assertRaises(ValueError, complex, "1+(2j)")
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315 self.assertRaises(ValueError, complex, "(1+2j)123")
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316 self.assertRaises(ValueError, complex, "x")
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317 self.assertRaises(ValueError, complex, "1j+2")
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318 self.assertRaises(ValueError, complex, "1e1ej")
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319 self.assertRaises(ValueError, complex, "1e++1ej")
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320 self.assertRaises(ValueError, complex, ")1+2j(")
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321 # the following three are accepted by Python 2.6
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322 self.assertRaises(ValueError, complex, "1..1j")
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323 self.assertRaises(ValueError, complex, "1.11.1j")
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324 self.assertRaises(ValueError, complex, "1e1.1j")
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325
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326 # check that complex accepts long unicode strings
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327 self.assertEqual(type(complex("1"*500)), complex)
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328
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329 class EvilExc(Exception):
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330 pass
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331
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332 class evilcomplex:
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333 def __complex__(self):
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334 raise EvilExc
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335
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336 self.assertRaises(EvilExc, complex, evilcomplex())
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337
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338 class float2:
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339 def __init__(self, value):
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340 self.value = value
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341 def __float__(self):
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342 return self.value
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343
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344 self.assertAlmostEqual(complex(float2(42.)), 42)
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345 self.assertAlmostEqual(complex(real=float2(17.), imag=float2(23.)), 17+23j)
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346 self.assertRaises(TypeError, complex, float2(None))
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347
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348 class complex0(complex):
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349 """Test usage of __complex__() when inheriting from 'complex'"""
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350 def __complex__(self):
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351 return 42j
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352
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353 class complex1(complex):
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354 """Test usage of __complex__() with a __new__() method"""
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355 def __new__(self, value=0j):
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356 return complex.__new__(self, 2*value)
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357 def __complex__(self):
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358 return self
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359
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360 class complex2(complex):
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361 """Make sure that __complex__() calls fail if anything other than a
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362 complex is returned"""
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363 def __complex__(self):
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364 return None
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365
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366 self.assertAlmostEqual(complex(complex0(1j)), 42j)
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367 self.assertAlmostEqual(complex(complex1(1j)), 2j)
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368 self.assertRaises(TypeError, complex, complex2(1j))
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369
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370 def test_hash(self):
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371 for x in range(-30, 30):
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372 self.assertEqual(hash(x), hash(complex(x, 0)))
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373 x /= 3.0 # now check against floating point
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parents: 24442
diff changeset
374 self.assertEqual(hash(x), hash(complex(x, 0.)))
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Neal Norwitz <nnorwitz@gmail.com>
parents: 21401
diff changeset
375
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diff changeset
376 def test_abs(self):
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377 nums = [complex(x/3., y/7.) for x in range(-9,9) for y in range(-9,9)]
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378 for num in nums:
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diff changeset
379 self.assertAlmostEqual((num.real**2 + num.imag**2) ** 0.5, abs(num))
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380
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diff changeset
381 def test_repr(self):
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parents: 24442
diff changeset
382 self.assertEqual(repr(1+6j), '(1+6j)')
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Martin v. Löwis <martin@v.loewis.de>
parents: 30071
diff changeset
383 self.assertEqual(repr(1-6j), '(1-6j)')
17066
2c1be7924b04 SF bug [ #409448 ] Complex division is braindead
Tim Peters <tim.peters@gmail.com>
parents:
diff changeset
384
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Georg Brandl <georg@python.org>
parents: 34931
diff changeset
385 self.assertNotEqual(repr(-(1+0j)), '(-1+-0j)')
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Georg Brandl <georg@python.org>
parents: 34931
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386
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387 self.assertEqual(1-6j,complex(repr(1-6j)))
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388 self.assertEqual(1+6j,complex(repr(1+6j)))
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389 self.assertEqual(-6j,complex(repr(-6j)))
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390 self.assertEqual(6j,complex(repr(6j)))
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391
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392 self.assertEqual(repr(complex(1., INF)), "(1+infj)")
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parents: 47555
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393 self.assertEqual(repr(complex(1., -INF)), "(1-infj)")
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394 self.assertEqual(repr(complex(INF, 1)), "(inf+1j)")
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395 self.assertEqual(repr(complex(-INF, INF)), "(-inf+infj)")
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396 self.assertEqual(repr(complex(NAN, 1)), "(nan+1j)")
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397 self.assertEqual(repr(complex(1, NAN)), "(1+nanj)")
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398 self.assertEqual(repr(complex(NAN, NAN)), "(nan+nanj)")
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399
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400 self.assertEqual(repr(complex(0, INF)), "infj")
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diff changeset
401 self.assertEqual(repr(complex(0, -INF)), "-infj")
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diff changeset
402 self.assertEqual(repr(complex(0, NAN)), "nanj")
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403
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diff changeset
404 def test_neg(self):
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parents: 24442
diff changeset
405 self.assertEqual(-(1+6j), -1-6j)
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parents: 24442
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406
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Walter Dörwald <walter@livinglogic.de>
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diff changeset
407 def test_file(self):
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Walter Dörwald <walter@livinglogic.de>
parents: 29668
diff changeset
408 a = 3.33+4.43j
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Walter Dörwald <walter@livinglogic.de>
parents: 29668
diff changeset
409 b = 5.1+2.3j
199cd78d6d78 Add various test cases from SF patch 543867.
Walter Dörwald <walter@livinglogic.de>
parents: 29668
diff changeset
410
199cd78d6d78 Add various test cases from SF patch 543867.
Walter Dörwald <walter@livinglogic.de>
parents: 29668
diff changeset
411 fo = None
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Walter Dörwald <walter@livinglogic.de>
parents: 29668
diff changeset
412 try:
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Benjamin Peterson <benjamin@python.org>
parents: 45371
diff changeset
413 fo = open(support.TESTFN, "w")
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Guido van Rossum <guido@python.org>
parents: 40644
diff changeset
414 print(a, b, file=fo)
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Walter Dörwald <walter@livinglogic.de>
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diff changeset
415 fo.close()
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Benjamin Peterson <benjamin@python.org>
parents: 45371
diff changeset
416 fo = open(support.TESTFN, "r")
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Guido van Rossum <guido@python.org>
parents: 42902
diff changeset
417 self.assertEqual(fo.read(), ("%s %s\n" % (a, b)))
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diff changeset
418 finally:
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419 if (fo is not None) and (not fo.closed):
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420 fo.close()
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Florent Xicluna <florent.xicluna@gmail.com>
parents: 59563
diff changeset
421 support.unlink(support.TESTFN)
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diff changeset
422
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423 def test_getnewargs(self):
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424 self.assertEqual((1+2j).__getnewargs__(), (1.0, 2.0))
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425 self.assertEqual((1-2j).__getnewargs__(), (1.0, -2.0))
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426 self.assertEqual((2j).__getnewargs__(), (0.0, 2.0))
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427 self.assertEqual((-0j).__getnewargs__(), (0.0, -0.0))
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428 self.assertEqual(complex(0, INF).__getnewargs__(), (0.0, INF))
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429 self.assertEqual(complex(INF, 0).__getnewargs__(), (INF, 0.0))
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430
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431 if float.__getformat__("double").startswith("IEEE"):
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432 def test_plus_minus_0j(self):
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433 # test that -0j and 0j literals are not identified
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434 z1, z2 = 0j, -0j
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435 self.assertEquals(atan2(z1.imag, -1.), atan2(0., -1.))
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436 self.assertEquals(atan2(z2.imag, -1.), atan2(-0., -1.))
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437
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438 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"),
330115137414 Issue #5816: Simplify code for parsing and printing of complex numbers.
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parents: 47555
diff changeset
439 "test requires IEEE 754 doubles")
62649
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Mark Dickinson <dickinsm@gmail.com>
parents: 61787
diff changeset
440 def test_negated_imaginary_literal(self):
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diff changeset
441 z0 = -0j
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442 z1 = -7j
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parents: 61787
diff changeset
443 z2 = -1e1000j
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parents: 61787
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444 # Note: In versions of Python < 3.2, a negated imaginary literal
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445 # accidentally ended up with real part 0.0 instead of -0.0, thanks to a
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diff changeset
446 # modification during CST -> AST translation (see issue #9011). That's
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447 # fixed in Python 3.2.
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parents: 61787
diff changeset
448 self.assertFloatsAreIdentical(z0.real, -0.0)
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parents: 61787
diff changeset
449 self.assertFloatsAreIdentical(z0.imag, -0.0)
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parents: 61787
diff changeset
450 self.assertFloatsAreIdentical(z1.real, -0.0)
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diff changeset
451 self.assertFloatsAreIdentical(z1.imag, -7.0)
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diff changeset
452 self.assertFloatsAreIdentical(z2.real, -0.0)
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parents: 61787
diff changeset
453 self.assertFloatsAreIdentical(z2.imag, -INF)
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parents: 61787
diff changeset
454
2bc54da4b82c Issue #9011: Tests for Python 3.2's treatment of negated imaginary literals.
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parents: 61787
diff changeset
455 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"),
2bc54da4b82c Issue #9011: Tests for Python 3.2's treatment of negated imaginary literals.
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parents: 61787
diff changeset
456 "test requires IEEE 754 doubles")
54225
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parents: 53849
diff changeset
457 def test_overflow(self):
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parents: 53849
diff changeset
458 self.assertEqual(complex("1e500"), complex(INF, 0.0))
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parents: 53849
diff changeset
459 self.assertEqual(complex("-1e500j"), complex(0.0, -INF))
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parents: 53849
diff changeset
460 self.assertEqual(complex("-1e500+1.8e308j"), complex(-INF, INF))
670fa0c0ff9a Issue #5829: complex('1e500') shouldn't raise OverflowError
Mark Dickinson <dickinsm@gmail.com>
parents: 53849
diff changeset
461
670fa0c0ff9a Issue #5829: complex('1e500') shouldn't raise OverflowError
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parents: 53849
diff changeset
462 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"),
670fa0c0ff9a Issue #5829: complex('1e500') shouldn't raise OverflowError
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parents: 53849
diff changeset
463 "test requires IEEE 754 doubles")
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diff changeset
464 def test_repr_roundtrip(self):
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diff changeset
465 vals = [0.0, 1e-500, 1e-315, 1e-200, 0.0123, 3.1415, 1e50, INF, NAN]
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466 vals += [-v for v in vals]
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467
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468 # complex(repr(z)) should recover z exactly, even for complex
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469 # numbers involving an infinity, nan, or negative zero
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diff changeset
470 for x in vals:
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diff changeset
471 for y in vals:
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472 z = complex(x, y)
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473 roundtrip = complex(repr(z))
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diff changeset
474 self.assertFloatsAreIdentical(z.real, roundtrip.real)
330115137414 Issue #5816: Simplify code for parsing and printing of complex numbers.
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diff changeset
475 self.assertFloatsAreIdentical(z.imag, roundtrip.imag)
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diff changeset
476
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477 # if we predefine some constants, then eval(repr(z)) should
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478 # also work, except that it might change the sign of zeros
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479 inf, nan = float('inf'), float('nan')
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480 infj, nanj = complex(0.0, inf), complex(0.0, nan)
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diff changeset
481 for x in vals:
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diff changeset
482 for y in vals:
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483 z = complex(x, y)
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diff changeset
484 roundtrip = eval(repr(z))
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485 # adding 0.0 has no effect beside changing -0.0 to 0.0
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diff changeset
486 self.assertFloatsAreIdentical(0.0 + z.real,
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diff changeset
487 0.0 + roundtrip.real)
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diff changeset
488 self.assertFloatsAreIdentical(0.0 + z.imag,
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diff changeset
489 0.0 + roundtrip.imag)
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490
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491 def test_format(self):
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492 # empty format string is same as str()
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493 self.assertEqual(format(1+3j, ''), str(1+3j))
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diff changeset
494 self.assertEqual(format(1.5+3.5j, ''), str(1.5+3.5j))
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495 self.assertEqual(format(3j, ''), str(3j))
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496 self.assertEqual(format(3.2j, ''), str(3.2j))
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diff changeset
497 self.assertEqual(format(3+0j, ''), str(3+0j))
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498 self.assertEqual(format(3.2+0j, ''), str(3.2+0j))
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499
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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.
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500 # empty presentation type should still be analogous to str,
c6376d3fa968 Issue #5920: Changed format.__float__ and complex.__float__ to use a precision of 12 when using the empty presentation type. This more closely matches str()'s behavior and reduces surprises when adding alignment flags to an empty format string. Patch by Mark Dickinson.
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501 # even when format string is nonempty (issue #5920).
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diff changeset
502 self.assertEqual(format(3.2+0j, '-'), str(3.2+0j))
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diff changeset
503 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.
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parents: 53632
diff changeset
504 z = 4/7. - 100j/7.
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parents: 53632
diff changeset
505 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.
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parents: 53632
diff changeset
506 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.
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parents: 53632
diff changeset
507 self.assertEqual(format(z, '<'), str(z))
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parents: 53632
diff changeset
508 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.
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parents: 53632
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509
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510 self.assertEqual(format(1+3j, 'g'), '1+3j')
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diff changeset
511 self.assertEqual(format(3j, 'g'), '0+3j')
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diff changeset
512 self.assertEqual(format(1.5+3.5j, 'g'), '1.5+3.5j')
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513
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diff changeset
514 self.assertEqual(format(1.5+3.5j, '+g'), '+1.5+3.5j')
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diff changeset
515 self.assertEqual(format(1.5-3.5j, '+g'), '+1.5-3.5j')
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diff changeset
516 self.assertEqual(format(1.5-3.5j, '-g'), '1.5-3.5j')
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diff changeset
517 self.assertEqual(format(1.5+3.5j, ' g'), ' 1.5+3.5j')
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diff changeset
518 self.assertEqual(format(1.5-3.5j, ' g'), ' 1.5-3.5j')
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diff changeset
519 self.assertEqual(format(-1.5+3.5j, ' g'), '-1.5+3.5j')
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diff changeset
520 self.assertEqual(format(-1.5-3.5j, ' g'), '-1.5-3.5j')
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diff changeset
521
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diff changeset
522 self.assertEqual(format(-1.5-3.5e-20j, 'g'), '-1.5-3.5e-20j')
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diff changeset
523 self.assertEqual(format(-1.5-3.5j, 'f'), '-1.500000-3.500000j')
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diff changeset
524 self.assertEqual(format(-1.5-3.5j, 'F'), '-1.500000-3.500000j')
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diff changeset
525 self.assertEqual(format(-1.5-3.5j, 'e'), '-1.500000e+00-3.500000e+00j')
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diff changeset
526 self.assertEqual(format(-1.5-3.5j, '.2e'), '-1.50e+00-3.50e+00j')
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diff changeset
527 self.assertEqual(format(-1.5-3.5j, '.2E'), '-1.50E+00-3.50E+00j')
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diff changeset
528 self.assertEqual(format(-1.5e10-3.5e5j, '.2G'), '-1.5E+10-3.5E+05j')
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diff changeset
529
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diff changeset
530 self.assertEqual(format(1.5+3j, '<20g'), '1.5+3j ')
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diff changeset
531 self.assertEqual(format(1.5+3j, '*<20g'), '1.5+3j**************')
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parents: 53377
diff changeset
532 self.assertEqual(format(1.5+3j, '>20g'), ' 1.5+3j')
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parents: 53377
diff changeset
533 self.assertEqual(format(1.5+3j, '^20g'), ' 1.5+3j ')
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parents: 53377
diff changeset
534 self.assertEqual(format(1.5+3j, '<20'), '(1.5+3j) ')
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parents: 53377
diff changeset
535 self.assertEqual(format(1.5+3j, '>20'), ' (1.5+3j)')
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parents: 53377
diff changeset
536 self.assertEqual(format(1.5+3j, '^20'), ' (1.5+3j) ')
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parents: 53377
diff changeset
537 self.assertEqual(format(1.123-3.123j, '^20.2'), ' (1.1-3.1j) ')
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parents: 53377
diff changeset
538
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539 self.assertEqual(format(1.5+3j, '20.2f'), ' 1.50+3.00j')
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diff changeset
540 self.assertEqual(format(1.5+3j, '>20.2f'), ' 1.50+3.00j')
53632
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diff changeset
541 self.assertEqual(format(1.5+3j, '<20.2f'), '1.50+3.00j ')
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parents: 53377
diff changeset
542 self.assertEqual(format(1.5e20+3j, '<20.2f'), '150000000000000000000.00+3.00j')
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parents: 53377
diff changeset
543 self.assertEqual(format(1.5e20+3j, '>40.2f'), ' 150000000000000000000.00+3.00j')
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parents: 53377
diff changeset
544 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
545 self.assertEqual(format(1.5e21+3j, '^40,.2f'), ' 1,500,000,000,000,000,000,000.00+3.00j ')
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parents: 53377
diff changeset
546 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
547
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
548 # alternate is invalid
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
549 self.assertRaises(ValueError, (1.5+0.5j).__format__, '#f')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
550
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
551 # zero padding is invalid
2cde0d003ffc Issue #1588: Add complex.__format__.
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parents: 53377
diff changeset
552 self.assertRaises(ValueError, (1.5+0.5j).__format__, '010f')
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
553
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
554 # '=' alignment is invalid
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
555 self.assertRaises(ValueError, (1.5+3j).__format__, '=20')
2cde0d003ffc Issue #1588: Add complex.__format__.
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parents: 53377
diff changeset
556
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
557 # integer presentation types are an error
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
558 for t in 'bcdoxX':
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parents: 53377
diff changeset
559 self.assertRaises(ValueError, (1.5+0.5j).__format__, t)
2cde0d003ffc Issue #1588: Add complex.__format__.
Eric Smith <eric@trueblade.com>
parents: 53377
diff changeset
560
2cde0d003ffc Issue #1588: Add complex.__format__.
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parents: 53377
diff changeset
561 # make sure everything works in ''.format()
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parents: 53377
diff changeset
562 self.assertEqual('*{0:.3f}*'.format(3.14159+2.71828j), '*3.142+2.718j*')
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330115137414 Issue #5816: Simplify code for parsing and printing of complex numbers.
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parents: 47555
diff changeset
563
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
564 # 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
565 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
566 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
567 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
568 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
569 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
570 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
571 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
572 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
573 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
574 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
575 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
576 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
577 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
578 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
579 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
580 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
581
29532
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
582 def test_main():
47201
9c930a32cebb #2621 rename test.test_support to test.support
Benjamin Peterson <benjamin@python.org>
parents: 45371
diff changeset
583 support.run_unittest(ComplexTest)
29532
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
584
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
585 if __name__ == "__main__":
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
586 test_main()