annotate Lib/test/test_complex.py @ 39042:c02fa187e0f4 legacy-trunk

Part of SF patch #1484695. This removes dead code. The chksum was already verified in .frombuf() on the lines above. If there was a problem an exception is raised, so there was no way this condition could have been true.
author Neal Norwitz <nnorwitz@gmail.com>
date Mon, 10 Jul 2006 00:23:17 +0000
parents e6119d577cd3
children 4bfe8afe8f65 47ac1bfea304
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
30071
735ec0869492 Remove useless import.
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1 import unittest, os
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2 from test import test_support
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3
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4 import warnings
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5 warnings.filterwarnings(
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6 "ignore",
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7 category=DeprecationWarning,
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8 message=".*complex divmod.*are deprecated"
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9 )
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10
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2c1be7924b04 SF bug [ #409448 ] Complex division is braindead
Tim Peters <tim.peters@gmail.com>
parents:
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11 from random import random
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12
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13 # These tests ensure that complex math does the right thing
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14
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15 class ComplexTest(unittest.TestCase):
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6da6091a31ee Add a comment explaining what these tests are for, and where to look for
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16
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17 def assertAlmostEqual(self, a, b):
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18 if isinstance(a, complex):
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19 if isinstance(b, complex):
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20 unittest.TestCase.assertAlmostEqual(self, a.real, b.real)
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21 unittest.TestCase.assertAlmostEqual(self, a.imag, b.imag)
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22 else:
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23 unittest.TestCase.assertAlmostEqual(self, a.real, b)
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24 unittest.TestCase.assertAlmostEqual(self, a.imag, 0.)
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25 else:
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26 if isinstance(b, complex):
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27 unittest.TestCase.assertAlmostEqual(self, a, b.real)
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28 unittest.TestCase.assertAlmostEqual(self, 0., b.imag)
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29 else:
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30 unittest.TestCase.assertAlmostEqual(self, a, b)
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31
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32 def assertCloseAbs(self, x, y, eps=1e-9):
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33 """Return true iff floats x and y "are close\""""
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34 # put the one with larger magnitude second
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35 if abs(x) > abs(y):
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36 x, y = y, x
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37 if y == 0:
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38 return abs(x) < eps
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39 if x == 0:
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40 return abs(y) < eps
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41 # check that relative difference < eps
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42 self.assert_(abs((x-y)/y) < eps)
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43
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44 def assertClose(self, x, y, eps=1e-9):
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45 """Return true iff complexes x and y "are close\""""
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46 self.assertCloseAbs(x.real, y.real, eps)
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47 self.assertCloseAbs(x.imag, y.imag, eps)
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48
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49 def assertIs(self, a, b):
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50 self.assert_(a is b)
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51
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52 def check_div(self, x, y):
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53 """Compute complex z=x*y, and check that z/x==y and z/y==x."""
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54 z = x * y
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55 if x != 0:
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56 q = z / x
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57 self.assertClose(q, y)
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58 q = z.__div__(x)
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59 self.assertClose(q, y)
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60 q = z.__truediv__(x)
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61 self.assertClose(q, y)
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62 if y != 0:
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63 q = z / y
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64 self.assertClose(q, x)
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65 q = z.__div__(y)
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66 self.assertClose(q, x)
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67 q = z.__truediv__(y)
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68 self.assertClose(q, x)
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69
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70 def test_div(self):
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71 simple_real = [float(i) for i in xrange(-5, 6)]
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72 simple_complex = [complex(x, y) for x in simple_real for y in simple_real]
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73 for x in simple_complex:
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74 for y in simple_complex:
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75 self.check_div(x, y)
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c97dda238b36 Reverting to rev 1.2. Apparently gcc doesn't use the extended-precision
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76
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77 # A naive complex division algorithm (such as in 2.0) is very prone to
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78 # nonsense errors for these (overflows and underflows).
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79 self.check_div(complex(1e200, 1e200), 1+0j)
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80 self.check_div(complex(1e-200, 1e-200), 1+0j)
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81
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82 # Just for fun.
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83 for i in xrange(100):
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84 self.check_div(complex(random(), random()),
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85 complex(random(), random()))
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86
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87 self.assertRaises(ZeroDivisionError, complex.__div__, 1+1j, 0+0j)
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88 # FIXME: The following currently crashes on Alpha
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89 # self.assertRaises(OverflowError, pow, 1e200+1j, 1e200+1j)
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90
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91 def test_truediv(self):
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92 self.assertAlmostEqual(complex.__truediv__(2+0j, 1+1j), 1-1j)
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93 self.assertRaises(ZeroDivisionError, complex.__truediv__, 1+1j, 0+0j)
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94
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95 def test_floordiv(self):
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96 self.assertAlmostEqual(complex.__floordiv__(3+0j, 1.5+0j), 2)
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97 self.assertRaises(ZeroDivisionError, complex.__floordiv__, 3+0j, 0+0j)
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98
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99 def test_coerce(self):
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100 self.assertRaises(OverflowError, complex.__coerce__, 1+1j, 1L<<10000)
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101
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102 def test_richcompare(self):
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103 self.assertRaises(OverflowError, complex.__eq__, 1+1j, 1L<<10000)
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104 self.assertEqual(complex.__lt__(1+1j, None), NotImplemented)
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105 self.assertIs(complex.__eq__(1+1j, 1+1j), True)
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106 self.assertIs(complex.__eq__(1+1j, 2+2j), False)
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107 self.assertIs(complex.__ne__(1+1j, 1+1j), False)
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108 self.assertIs(complex.__ne__(1+1j, 2+2j), True)
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109 self.assertRaises(TypeError, complex.__lt__, 1+1j, 2+2j)
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110 self.assertRaises(TypeError, complex.__le__, 1+1j, 2+2j)
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111 self.assertRaises(TypeError, complex.__gt__, 1+1j, 2+2j)
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112 self.assertRaises(TypeError, complex.__ge__, 1+1j, 2+2j)
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113
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114 def test_mod(self):
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115 self.assertRaises(ZeroDivisionError, (1+1j).__mod__, 0+0j)
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116
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117 a = 3.33+4.43j
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118 try:
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119 a % 0
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120 except ZeroDivisionError:
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121 pass
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122 else:
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123 self.fail("modulo parama can't be 0")
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124
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125 def test_divmod(self):
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126 self.assertRaises(ZeroDivisionError, divmod, 1+1j, 0+0j)
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127
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128 def test_pow(self):
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129 self.assertAlmostEqual(pow(1+1j, 0+0j), 1.0)
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130 self.assertAlmostEqual(pow(0+0j, 2+0j), 0.0)
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131 self.assertRaises(ZeroDivisionError, pow, 0+0j, 1j)
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132 self.assertAlmostEqual(pow(1j, -1), 1/1j)
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133 self.assertAlmostEqual(pow(1j, 200), 1)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
134 self.assertRaises(ValueError, pow, 1+1j, 1+1j, 1+1j)
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parents: 24442
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135
29867
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136 a = 3.33+4.43j
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137 self.assertEqual(a ** 0j, 1)
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diff changeset
138 self.assertEqual(a ** 0.+0.j, 1)
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139
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140 self.assertEqual(3j ** 0j, 1)
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Walter Dörwald <walter@livinglogic.de>
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diff changeset
141 self.assertEqual(3j ** 0, 1)
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Walter Dörwald <walter@livinglogic.de>
parents: 29668
diff changeset
142
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parents: 29668
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143 try:
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144 0j ** a
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145 except ZeroDivisionError:
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146 pass
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147 else:
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148 self.fail("should fail 0.0 to negative or complex power")
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149
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parents: 29668
diff changeset
150 try:
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diff changeset
151 0j ** (3-2j)
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diff changeset
152 except ZeroDivisionError:
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153 pass
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parents: 29668
diff changeset
154 else:
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155 self.fail("should fail 0.0 to negative or complex power")
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156
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157 # The following is used to exercise certain code paths
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158 self.assertEqual(a ** 105, a ** 105)
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159 self.assertEqual(a ** -105, a ** -105)
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160 self.assertEqual(a ** -30, a ** -30)
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161
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162 self.assertEqual(0.0j ** 0, 1)
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163
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164 b = 5.1+2.3j
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165 self.assertRaises(ValueError, pow, a, b, 0)
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166
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167 def test_boolcontext(self):
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Walter Dörwald <walter@livinglogic.de>
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168 for i in xrange(100):
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169 self.assert_(complex(random() + 1e-6, random() + 1e-6))
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170 self.assert_(not complex(0.0, 0.0))
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171
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Walter Dörwald <walter@livinglogic.de>
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diff changeset
172 def test_conjugate(self):
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diff changeset
173 self.assertClose(complex(5.3, 9.8).conjugate(), 5.3-9.8j)
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174
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175 def test_constructor(self):
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Walter Dörwald <walter@livinglogic.de>
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176 class OS:
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Walter Dörwald <walter@livinglogic.de>
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177 def __init__(self, value): self.value = value
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178 def __complex__(self): return self.value
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Walter Dörwald <walter@livinglogic.de>
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diff changeset
179 class NS(object):
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180 def __init__(self, value): self.value = value
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181 def __complex__(self): return self.value
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182 self.assertEqual(complex(OS(1+10j)), 1+10j)
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diff changeset
183 self.assertEqual(complex(NS(1+10j)), 1+10j)
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diff changeset
184 self.assertRaises(TypeError, complex, OS(None))
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diff changeset
185 self.assertRaises(TypeError, complex, NS(None))
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186
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187 self.assertAlmostEqual(complex("1+10j"), 1+10j)
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Walter Dörwald <walter@livinglogic.de>
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diff changeset
188 self.assertAlmostEqual(complex(10), 10+0j)
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Walter Dörwald <walter@livinglogic.de>
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diff changeset
189 self.assertAlmostEqual(complex(10.0), 10+0j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
190 self.assertAlmostEqual(complex(10L), 10+0j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
191 self.assertAlmostEqual(complex(10+0j), 10+0j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
192 self.assertAlmostEqual(complex(1,10), 1+10j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
193 self.assertAlmostEqual(complex(1,10L), 1+10j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
194 self.assertAlmostEqual(complex(1,10.0), 1+10j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
195 self.assertAlmostEqual(complex(1L,10), 1+10j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
196 self.assertAlmostEqual(complex(1L,10L), 1+10j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
197 self.assertAlmostEqual(complex(1L,10.0), 1+10j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
198 self.assertAlmostEqual(complex(1.0,10), 1+10j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
199 self.assertAlmostEqual(complex(1.0,10L), 1+10j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
200 self.assertAlmostEqual(complex(1.0,10.0), 1+10j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
201 self.assertAlmostEqual(complex(3.14+0j), 3.14+0j)
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
202 self.assertAlmostEqual(complex(3.14), 3.14+0j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
203 self.assertAlmostEqual(complex(314), 314.0+0j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
204 self.assertAlmostEqual(complex(314L), 314.0+0j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
205 self.assertAlmostEqual(complex(3.14+0j, 0j), 3.14+0j)
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
206 self.assertAlmostEqual(complex(3.14, 0.0), 3.14+0j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
207 self.assertAlmostEqual(complex(314, 0), 314.0+0j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
208 self.assertAlmostEqual(complex(314L, 0L), 314.0+0j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
209 self.assertAlmostEqual(complex(0j, 3.14j), -3.14+0j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
210 self.assertAlmostEqual(complex(0.0, 3.14j), -3.14+0j)
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
211 self.assertAlmostEqual(complex(0j, 3.14), 3.14j)
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parents: 24442
diff changeset
212 self.assertAlmostEqual(complex(0.0, 3.14), 3.14j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
213 self.assertAlmostEqual(complex("1"), 1+0j)
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Walter Dörwald <walter@livinglogic.de>
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diff changeset
214 self.assertAlmostEqual(complex("1j"), 1j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
215 self.assertAlmostEqual(complex(), 0)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
216 self.assertAlmostEqual(complex("-1"), -1)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
217 self.assertAlmostEqual(complex("+1"), +1)
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218
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diff changeset
219 class complex2(complex): pass
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diff changeset
220 self.assertAlmostEqual(complex(complex2(1+1j)), 1+1j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
221 self.assertAlmostEqual(complex(real=17, imag=23), 17+23j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
222 self.assertAlmostEqual(complex(real=17+23j), 17+23j)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
223 self.assertAlmostEqual(complex(real=17+23j, imag=23), 17+46j)
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
224 self.assertAlmostEqual(complex(real=1+2j, imag=3+4j), -3+5j)
21593
ff70e5634ae9 SF Patch #494873 add tests for complex numbers including calls to int()/long()
Neal Norwitz <nnorwitz@gmail.com>
parents: 21401
diff changeset
225
29532
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
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diff changeset
226 c = 3.14 + 1j
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
227 self.assert_(complex(c) is c)
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
228 del c
21593
ff70e5634ae9 SF Patch #494873 add tests for complex numbers including calls to int()/long()
Neal Norwitz <nnorwitz@gmail.com>
parents: 21401
diff changeset
229
29532
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diff changeset
230 self.assertRaises(TypeError, complex, "1", "1")
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
231 self.assertRaises(TypeError, complex, 1, "1")
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
232
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
233 self.assertEqual(complex(" 3.14+J "), 3.14+1j)
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
234 if test_support.have_unicode:
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
235 self.assertEqual(complex(unicode(" 3.14+J ")), 3.14+1j)
21594
18a70a82af15 SF Patch #497487 add test to compare conjugate of a complex number
Neal Norwitz <nnorwitz@gmail.com>
parents: 21593
diff changeset
236
29532
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
237 # SF bug 543840: complex(string) accepts strings with \0
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
238 # Fixed in 2.3.
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
239 self.assertRaises(ValueError, complex, '1+1j\0j')
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
240
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
241 self.assertRaises(TypeError, int, 5+3j)
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
242 self.assertRaises(TypeError, long, 5+3j)
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
243 self.assertRaises(TypeError, float, 5+3j)
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
244 self.assertRaises(ValueError, complex, "")
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
245 self.assertRaises(TypeError, complex, None)
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
246 self.assertRaises(ValueError, complex, "\0")
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
247 self.assertRaises(TypeError, complex, "1", "2")
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
248 self.assertRaises(TypeError, complex, "1", 42)
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
249 self.assertRaises(TypeError, complex, 1, "2")
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
250 self.assertRaises(ValueError, complex, "1+")
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
251 self.assertRaises(ValueError, complex, "1+1j+1j")
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
252 self.assertRaises(ValueError, complex, "--")
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
253 if test_support.have_unicode:
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
254 self.assertRaises(ValueError, complex, unicode("1"*500))
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
255 self.assertRaises(ValueError, complex, unicode("x"))
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
256
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
257 class EvilExc(Exception):
29668
36a17904a3ed Whitespace normalization.
Tim Peters <tim.peters@gmail.com>
parents: 29532
diff changeset
258 pass
29532
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Walter Dörwald <walter@livinglogic.de>
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diff changeset
259
2fbd256a1db2 Port test_complex.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents: 24442
diff changeset
260 class evilcomplex:
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Walter Dörwald <walter@livinglogic.de>
parents: 24442
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261 def __complex__(self):
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262 raise EvilExc
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263
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264 self.assertRaises(EvilExc, complex, evilcomplex())
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265
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266 class float2:
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267 def __init__(self, value):
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268 self.value = value
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269 def __float__(self):
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270 return self.value
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271
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272 self.assertAlmostEqual(complex(float2(42.)), 42)
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273 self.assertAlmostEqual(complex(real=float2(17.), imag=float2(23.)), 17+23j)
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274 self.assertRaises(TypeError, complex, float2(None))
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275
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276 class complex0(complex):
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277 """Test usage of __complex__() when inheriting from 'complex'"""
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278 def __complex__(self):
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279 return 42j
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280
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281 class complex1(complex):
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282 """Test usage of __complex__() with a __new__() method"""
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283 def __new__(self, value=0j):
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284 return complex.__new__(self, 2*value)
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285 def __complex__(self):
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286 return self
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287
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288 class complex2(complex):
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289 """Make sure that __complex__() calls fail if anything other than a
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290 complex is returned"""
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291 def __complex__(self):
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292 return None
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293
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294 self.assertAlmostEqual(complex(complex0(1j)), 42j)
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295 self.assertAlmostEqual(complex(complex1(1j)), 2j)
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296 self.assertRaises(TypeError, complex, complex2(1j))
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297
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298 def test_hash(self):
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299 for x in xrange(-30, 30):
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300 self.assertEqual(hash(x), hash(complex(x, 0)))
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301 x /= 3.0 # now check against floating point
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302 self.assertEqual(hash(x), hash(complex(x, 0.)))
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303
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304 def test_abs(self):
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305 nums = [complex(x/3., y/7.) for x in xrange(-9,9) for y in xrange(-9,9)]
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306 for num in nums:
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307 self.assertAlmostEqual((num.real**2 + num.imag**2) ** 0.5, abs(num))
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308
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309 def test_repr(self):
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310 self.assertEqual(repr(1+6j), '(1+6j)')
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311 self.assertEqual(repr(1-6j), '(1-6j)')
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312
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313 self.assertNotEqual(repr(-(1+0j)), '(-1+-0j)')
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314
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315 def test_neg(self):
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316 self.assertEqual(-(1+6j), -1-6j)
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317
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318 def test_file(self):
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319 a = 3.33+4.43j
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320 b = 5.1+2.3j
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321
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322 fo = None
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323 try:
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324 fo = open(test_support.TESTFN, "wb")
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325 print >>fo, a, b
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326 fo.close()
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327 fo = open(test_support.TESTFN, "rb")
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328 self.assertEqual(fo.read(), "%s %s\n" % (a, b))
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329 finally:
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330 if (fo is not None) and (not fo.closed):
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331 fo.close()
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332 try:
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333 os.remove(test_support.TESTFN)
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334 except (OSError, IOError):
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335 pass
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336
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337 def test_main():
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338 test_support.run_unittest(ComplexTest)
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339
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340 if __name__ == "__main__":
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341 test_main()