Mercurial > cpython-lru_cache-weakref
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 |
| rev | line source |
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| 60174 | 1 import unittest |
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2 from test import support |
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3 |
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4 from random import random |
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5 from math import atan2, isnan, copysign |
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6 import operator |
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7 |
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8 INF = float("inf") |
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9 NAN = float("nan") |
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10 # These tests ensure that complex math does the right thing |
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11 |
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12 class ComplexTest(unittest.TestCase): |
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13 |
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14 def assertAlmostEqual(self, a, b): |
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15 if isinstance(a, complex): |
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16 if isinstance(b, complex): |
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17 unittest.TestCase.assertAlmostEqual(self, a.real, b.real) |
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18 unittest.TestCase.assertAlmostEqual(self, a.imag, b.imag) |
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19 else: |
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20 unittest.TestCase.assertAlmostEqual(self, a.real, b) |
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21 unittest.TestCase.assertAlmostEqual(self, a.imag, 0.) |
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22 else: |
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23 if isinstance(b, complex): |
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24 unittest.TestCase.assertAlmostEqual(self, a, b.real) |
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25 unittest.TestCase.assertAlmostEqual(self, 0., b.imag) |
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26 else: |
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27 unittest.TestCase.assertAlmostEqual(self, a, b) |
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28 |
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29 def assertCloseAbs(self, x, y, eps=1e-9): |
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30 """Return true iff floats x and y "are close\"""" |
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31 # put the one with larger magnitude second |
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32 if abs(x) > abs(y): |
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33 x, y = y, x |
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34 if y == 0: |
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35 return abs(x) < eps |
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36 if x == 0: |
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37 return abs(y) < eps |
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38 # check that relative difference < eps |
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39 self.assertTrue(abs((x-y)/y) < eps) |
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40 |
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41 def assertFloatsAreIdentical(self, x, y): |
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42 """assert that floats x and y are identical, in the sense that: |
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43 (1) both x and y are nans, or |
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44 (2) both x and y are infinities, with the same sign, or |
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45 (3) both x and y are zeros, with the same sign, or |
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46 (4) x and y are both finite and nonzero, and x == y |
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47 |
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48 """ |
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49 msg = 'floats {!r} and {!r} are not identical' |
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50 |
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51 if isnan(x) or isnan(y): |
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52 if isnan(x) and isnan(y): |
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53 return |
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54 elif x == y: |
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55 if x != 0.0: |
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56 return |
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57 # both zero; check that signs match |
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58 elif copysign(1.0, x) == copysign(1.0, y): |
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59 return |
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60 else: |
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61 msg += ': zeros have different signs' |
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62 self.fail(msg.format(x, y)) |
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63 |
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64 def assertClose(self, x, y, eps=1e-9): |
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65 """Return true iff complexes x and y "are close\"""" |
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66 self.assertCloseAbs(x.real, y.real, eps) |
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67 self.assertCloseAbs(x.imag, y.imag, eps) |
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68 |
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69 def check_div(self, x, y): |
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70 """Compute complex z=x*y, and check that z/x==y and z/y==x.""" |
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71 z = x * y |
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72 if x != 0: |
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73 q = z / x |
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74 self.assertClose(q, y) |
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75 q = z.__truediv__(x) |
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76 self.assertClose(q, y) |
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77 if y != 0: |
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78 q = z / y |
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79 self.assertClose(q, x) |
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80 q = z.__truediv__(y) |
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81 self.assertClose(q, x) |
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82 |
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83 def test_truediv(self): |
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84 simple_real = [float(i) for i in range(-5, 6)] |
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85 simple_complex = [complex(x, y) for x in simple_real for y in simple_real] |
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86 for x in simple_complex: |
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87 for y in simple_complex: |
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88 self.check_div(x, y) |
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89 |
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90 # A naive complex division algorithm (such as in 2.0) is very prone to |
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91 # nonsense errors for these (overflows and underflows). |
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92 self.check_div(complex(1e200, 1e200), 1+0j) |
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93 self.check_div(complex(1e-200, 1e-200), 1+0j) |
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94 |
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95 # Just for fun. |
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96 for i in range(100): |
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97 self.check_div(complex(random(), random()), |
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98 complex(random(), random())) |
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99 |
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100 self.assertRaises(ZeroDivisionError, complex.__truediv__, 1+1j, 0+0j) |
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101 # FIXME: The following currently crashes on Alpha |
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102 # self.assertRaises(OverflowError, pow, 1e200+1j, 1e200+1j) |
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103 |
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104 def test_truediv(self): |
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105 self.assertAlmostEqual(complex.__truediv__(2+0j, 1+1j), 1-1j) |
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106 self.assertRaises(ZeroDivisionError, complex.__truediv__, 1+1j, 0+0j) |
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107 |
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108 def test_floordiv(self): |
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109 self.assertRaises(TypeError, complex.__floordiv__, 3+0j, 1.5+0j) |
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110 self.assertRaises(TypeError, complex.__floordiv__, 3+0j, 0+0j) |
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111 |
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112 def test_richcompare(self): |
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113 self.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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374 self.assertEqual(hash(x), hash(complex(x, 0.))) |
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375 |
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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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379 self.assertAlmostEqual((num.real**2 + num.imag**2) ** 0.5, abs(num)) |
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380 |
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381 def test_repr(self): |
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382 self.assertEqual(repr(1+6j), '(1+6j)') |
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383 self.assertEqual(repr(1-6j), '(1-6j)') |
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384 |
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385 self.assertNotEqual(repr(-(1+0j)), '(-1+-0j)') |
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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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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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400 self.assertEqual(repr(complex(0, INF)), "infj") |
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401 self.assertEqual(repr(complex(0, -INF)), "-infj") |
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402 self.assertEqual(repr(complex(0, NAN)), "nanj") |
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404 def test_neg(self): |
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405 self.assertEqual(-(1+6j), -1-6j) |
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407 def test_file(self): |
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408 a = 3.33+4.43j |
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409 b = 5.1+2.3j |
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410 |
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411 fo = None |
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412 try: |
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413 fo = open(support.TESTFN, "w") |
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414 print(a, b, file=fo) |
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415 fo.close() |
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416 fo = open(support.TESTFN, "r") |
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417 self.assertEqual(fo.read(), ("%s %s\n" % (a, b))) |
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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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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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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"), |
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439 "test requires IEEE 754 doubles") |
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440 def test_negated_imaginary_literal(self): |
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441 z0 = -0j |
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442 z1 = -7j |
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443 z2 = -1e1000j |
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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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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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448 self.assertFloatsAreIdentical(z0.real, -0.0) |
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449 self.assertFloatsAreIdentical(z0.imag, -0.0) |
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450 self.assertFloatsAreIdentical(z1.real, -0.0) |
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451 self.assertFloatsAreIdentical(z1.imag, -7.0) |
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452 self.assertFloatsAreIdentical(z2.real, -0.0) |
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453 self.assertFloatsAreIdentical(z2.imag, -INF) |
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454 |
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455 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"), |
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456 "test requires IEEE 754 doubles") |
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457 def test_overflow(self): |
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458 self.assertEqual(complex("1e500"), complex(INF, 0.0)) |
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459 self.assertEqual(complex("-1e500j"), complex(0.0, -INF)) |
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460 self.assertEqual(complex("-1e500+1.8e308j"), complex(-INF, INF)) |
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461 |
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462 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"), |
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463 "test requires IEEE 754 doubles") |
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464 def test_repr_roundtrip(self): |
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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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470 for x in vals: |
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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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474 self.assertFloatsAreIdentical(z.real, roundtrip.real) |
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475 self.assertFloatsAreIdentical(z.imag, roundtrip.imag) |
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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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481 for x in vals: |
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482 for y in vals: |
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483 z = complex(x, y) |
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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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486 self.assertFloatsAreIdentical(0.0 + z.real, |
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487 0.0 + roundtrip.real) |
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488 self.assertFloatsAreIdentical(0.0 + z.imag, |
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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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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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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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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, |
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501 # even when format string is nonempty (issue #5920). |
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502 self.assertEqual(format(3.2+0j, '-'), str(3.2+0j)) |
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503 self.assertEqual(format(3.2+0j, '<'), str(3.2+0j)) |
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504 z = 4/7. - 100j/7. |
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505 self.assertEqual(format(z, ''), str(z)) |
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506 self.assertEqual(format(z, '-'), str(z)) |
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507 self.assertEqual(format(z, '<'), str(z)) |
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508 self.assertEqual(format(z, '10'), str(z)) |
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509 |
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510 self.assertEqual(format(1+3j, 'g'), '1+3j') |
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511 self.assertEqual(format(3j, 'g'), '0+3j') |
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512 self.assertEqual(format(1.5+3.5j, 'g'), '1.5+3.5j') |
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513 |
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514 self.assertEqual(format(1.5+3.5j, '+g'), '+1.5+3.5j') |
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515 self.assertEqual(format(1.5-3.5j, '+g'), '+1.5-3.5j') |
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516 self.assertEqual(format(1.5-3.5j, '-g'), '1.5-3.5j') |
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517 self.assertEqual(format(1.5+3.5j, ' g'), ' 1.5+3.5j') |
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518 self.assertEqual(format(1.5-3.5j, ' g'), ' 1.5-3.5j') |
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519 self.assertEqual(format(-1.5+3.5j, ' g'), '-1.5+3.5j') |
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520 self.assertEqual(format(-1.5-3.5j, ' g'), '-1.5-3.5j') |
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521 |
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522 self.assertEqual(format(-1.5-3.5e-20j, 'g'), '-1.5-3.5e-20j') |
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523 self.assertEqual(format(-1.5-3.5j, 'f'), '-1.500000-3.500000j') |
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524 self.assertEqual(format(-1.5-3.5j, 'F'), '-1.500000-3.500000j') |
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525 self.assertEqual(format(-1.5-3.5j, 'e'), '-1.500000e+00-3.500000e+00j') |
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526 self.assertEqual(format(-1.5-3.5j, '.2e'), '-1.50e+00-3.50e+00j') |
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527 self.assertEqual(format(-1.5-3.5j, '.2E'), '-1.50E+00-3.50E+00j') |
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528 self.assertEqual(format(-1.5e10-3.5e5j, '.2G'), '-1.5E+10-3.5E+05j') |
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529 |
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530 self.assertEqual(format(1.5+3j, '<20g'), '1.5+3j ') |
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531 self.assertEqual(format(1.5+3j, '*<20g'), '1.5+3j**************') |
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532 self.assertEqual(format(1.5+3j, '>20g'), ' 1.5+3j') |
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533 self.assertEqual(format(1.5+3j, '^20g'), ' 1.5+3j ') |
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534 self.assertEqual(format(1.5+3j, '<20'), '(1.5+3j) ') |
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535 self.assertEqual(format(1.5+3j, '>20'), ' (1.5+3j)') |
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536 self.assertEqual(format(1.5+3j, '^20'), ' (1.5+3j) ') |
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537 self.assertEqual(format(1.123-3.123j, '^20.2'), ' (1.1-3.1j) ') |
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538 |
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539 self.assertEqual(format(1.5+3j, '20.2f'), ' 1.50+3.00j') |
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540 self.assertEqual(format(1.5+3j, '>20.2f'), ' 1.50+3.00j') |
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541 self.assertEqual(format(1.5+3j, '<20.2f'), '1.50+3.00j ') |
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542 self.assertEqual(format(1.5e20+3j, '<20.2f'), '150000000000000000000.00+3.00j') |
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543 self.assertEqual(format(1.5e20+3j, '>40.2f'), ' 150000000000000000000.00+3.00j') |
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544 self.assertEqual(format(1.5e20+3j, '^40,.2f'), ' 150,000,000,000,000,000,000.00+3.00j ') |
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545 self.assertEqual(format(1.5e21+3j, '^40,.2f'), ' 1,500,000,000,000,000,000,000.00+3.00j ') |
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546 self.assertEqual(format(1.5e21+3000j, ',.2f'), '1,500,000,000,000,000,000,000.00+3,000.00j') |
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547 |
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548 # alternate is invalid |
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549 self.assertRaises(ValueError, (1.5+0.5j).__format__, '#f') |
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550 |
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551 # zero padding is invalid |
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552 self.assertRaises(ValueError, (1.5+0.5j).__format__, '010f') |
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553 |
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554 # '=' alignment is invalid |
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555 self.assertRaises(ValueError, (1.5+3j).__format__, '=20') |
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556 |
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557 # integer presentation types are an error |
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558 for t in 'bcdoxX': |
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559 self.assertRaises(ValueError, (1.5+0.5j).__format__, t) |
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560 |
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561 # make sure everything works in ''.format() |
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562 self.assertEqual('*{0:.3f}*'.format(3.14159+2.71828j), '*3.142+2.718j*') |
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563 |
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564 # issue 3382 |
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565 self.assertEqual(format(complex(NAN, NAN), 'f'), 'nan+nanj') |
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566 self.assertEqual(format(complex(1, NAN), 'f'), '1.000000+nanj') |
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567 self.assertEqual(format(complex(NAN, 1), 'f'), 'nan+1.000000j') |
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568 self.assertEqual(format(complex(NAN, -1), 'f'), 'nan-1.000000j') |
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569 self.assertEqual(format(complex(NAN, NAN), 'F'), 'NAN+NANj') |
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570 self.assertEqual(format(complex(1, NAN), 'F'), '1.000000+NANj') |
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571 self.assertEqual(format(complex(NAN, 1), 'F'), 'NAN+1.000000j') |
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572 self.assertEqual(format(complex(NAN, -1), 'F'), 'NAN-1.000000j') |
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573 self.assertEqual(format(complex(INF, INF), 'f'), 'inf+infj') |
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574 self.assertEqual(format(complex(1, INF), 'f'), '1.000000+infj') |
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575 self.assertEqual(format(complex(INF, 1), 'f'), 'inf+1.000000j') |
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576 self.assertEqual(format(complex(INF, -1), 'f'), 'inf-1.000000j') |
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577 self.assertEqual(format(complex(INF, INF), 'F'), 'INF+INFj') |
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578 self.assertEqual(format(complex(1, INF), 'F'), '1.000000+INFj') |
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579 self.assertEqual(format(complex(INF, 1), 'F'), 'INF+1.000000j') |
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580 self.assertEqual(format(complex(INF, -1), 'F'), 'INF-1.000000j') |
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581 |
|
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582 def test_main(): |
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583 support.run_unittest(ComplexTest) |
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584 |
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585 if __name__ == "__main__": |
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586 test_main() |
