Mercurial > cpython-lru_cache-weakref
annotate Lib/test/test_complex.py @ 59028:73cd83706bc4 3.1
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r78333 | eric.smith | 2010-02-22 13:54:44 -0500 (Mon, 22 Feb 2010) | 9 lines
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r78329 | eric.smith | 2010-02-22 13:33:47 -0500 (Mon, 22 Feb 2010) | 1 line
Issue #7988: Fix default alignment to be right aligned for complex.__format__. Now it matches other numeric types.
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| author | Eric Smith <eric@trueblade.com> |
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| date | Mon, 22 Feb 2010 19:26:06 +0000 |
| parents | 0bb232078b8c |
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1 import unittest, os |
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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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7 INF = float("inf") |
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8 NAN = float("nan") |
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9 # These tests ensure that complex math does the right thing |
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11 class ComplexTest(unittest.TestCase): |
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13 def assertAlmostEqual(self, a, b): |
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14 if isinstance(a, complex): |
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15 if isinstance(b, complex): |
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16 unittest.TestCase.assertAlmostEqual(self, a.real, b.real) |
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17 unittest.TestCase.assertAlmostEqual(self, a.imag, b.imag) |
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18 else: |
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19 unittest.TestCase.assertAlmostEqual(self, a.real, b) |
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20 unittest.TestCase.assertAlmostEqual(self, a.imag, 0.) |
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21 else: |
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22 if isinstance(b, complex): |
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23 unittest.TestCase.assertAlmostEqual(self, a, b.real) |
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24 unittest.TestCase.assertAlmostEqual(self, 0., b.imag) |
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25 else: |
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26 unittest.TestCase.assertAlmostEqual(self, a, b) |
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27 |
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28 def assertCloseAbs(self, x, y, eps=1e-9): |
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29 """Return true iff floats x and y "are close\"""" |
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30 # put the one with larger magnitude second |
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31 if abs(x) > abs(y): |
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32 x, y = y, x |
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33 if y == 0: |
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34 return abs(x) < eps |
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35 if x == 0: |
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36 return abs(y) < eps |
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37 # check that relative difference < eps |
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38 self.assertTrue(abs((x-y)/y) < eps) |
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39 |
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40 def assertFloatsAreIdentical(self, x, y): |
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41 """assert that floats x and y are identical, in the sense that: |
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42 (1) both x and y are nans, or |
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43 (2) both x and y are infinities, with the same sign, or |
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44 (3) both x and y are zeros, with the same sign, or |
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45 (4) x and y are both finite and nonzero, and x == y |
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46 |
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47 """ |
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48 msg = 'floats {!r} and {!r} are not identical' |
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49 |
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50 if isnan(x) or isnan(y): |
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51 if isnan(x) and isnan(y): |
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52 return |
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53 elif x == y: |
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54 if x != 0.0: |
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55 return |
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56 # both zero; check that signs match |
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57 elif copysign(1.0, x) == copysign(1.0, y): |
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58 return |
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59 else: |
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60 msg += ': zeros have different signs' |
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61 self.fail(msg.format(x, y)) |
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62 |
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63 def assertClose(self, x, y, eps=1e-9): |
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64 """Return true iff complexes x and y "are close\"""" |
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65 self.assertCloseAbs(x.real, y.real, eps) |
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66 self.assertCloseAbs(x.imag, y.imag, eps) |
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67 |
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68 def assertIs(self, a, b): |
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69 self.assertTrue(a is b) |
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70 |
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71 def check_div(self, x, y): |
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72 """Compute complex z=x*y, and check that z/x==y and z/y==x.""" |
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73 z = x * y |
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74 if x != 0: |
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75 q = z / x |
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76 self.assertClose(q, y) |
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77 q = z.__truediv__(x) |
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78 self.assertClose(q, y) |
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79 if y != 0: |
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80 q = z / y |
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81 self.assertClose(q, x) |
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82 q = z.__truediv__(y) |
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83 self.assertClose(q, x) |
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84 |
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85 def test_truediv(self): |
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86 simple_real = [float(i) for i in range(-5, 6)] |
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87 simple_complex = [complex(x, y) for x in simple_real for y in simple_real] |
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88 for x in simple_complex: |
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89 for y in simple_complex: |
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90 self.check_div(x, y) |
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91 |
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92 # A naive complex division algorithm (such as in 2.0) is very prone to |
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93 # nonsense errors for these (overflows and underflows). |
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94 self.check_div(complex(1e200, 1e200), 1+0j) |
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95 self.check_div(complex(1e-200, 1e-200), 1+0j) |
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96 |
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97 # Just for fun. |
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98 for i in range(100): |
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99 self.check_div(complex(random(), random()), |
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100 complex(random(), random())) |
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101 |
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102 self.assertRaises(ZeroDivisionError, complex.__truediv__, 1+1j, 0+0j) |
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103 # FIXME: The following currently crashes on Alpha |
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104 # self.assertRaises(OverflowError, pow, 1e200+1j, 1e200+1j) |
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105 |
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106 def test_truediv(self): |
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107 self.assertAlmostEqual(complex.__truediv__(2+0j, 1+1j), 1-1j) |
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108 self.assertRaises(ZeroDivisionError, complex.__truediv__, 1+1j, 0+0j) |
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109 |
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110 def test_floordiv(self): |
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111 self.assertRaises(TypeError, complex.__floordiv__, 3+0j, 1.5+0j) |
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112 self.assertRaises(TypeError, complex.__floordiv__, 3+0j, 0+0j) |
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113 |
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114 def test_richcompare(self): |
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115 self.assertRaises(OverflowError, complex.__eq__, 1+1j, 1<<10000) |
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116 self.assertEqual(complex.__lt__(1+1j, None), NotImplemented) |
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117 self.assertIs(complex.__eq__(1+1j, 1+1j), True) |
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118 self.assertIs(complex.__eq__(1+1j, 2+2j), False) |
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119 self.assertIs(complex.__ne__(1+1j, 1+1j), False) |
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120 self.assertIs(complex.__ne__(1+1j, 2+2j), True) |
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121 self.assertRaises(TypeError, complex.__lt__, 1+1j, 2+2j) |
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122 self.assertRaises(TypeError, complex.__le__, 1+1j, 2+2j) |
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123 self.assertRaises(TypeError, complex.__gt__, 1+1j, 2+2j) |
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124 self.assertRaises(TypeError, complex.__ge__, 1+1j, 2+2j) |
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125 |
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126 def test_mod(self): |
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127 # % is no longer supported on complex numbers |
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128 self.assertRaises(TypeError, (1+1j).__mod__, 0+0j) |
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129 self.assertRaises(TypeError, lambda: (3.33+4.43j) % 0) |
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130 self.assertRaises(TypeError, (1+1j).__mod__, 4.3j) |
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131 |
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132 def test_divmod(self): |
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133 self.assertRaises(TypeError, divmod, 1+1j, 1+0j) |
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134 self.assertRaises(TypeError, divmod, 1+1j, 0+0j) |
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135 |
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136 def test_pow(self): |
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137 self.assertAlmostEqual(pow(1+1j, 0+0j), 1.0) |
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138 self.assertAlmostEqual(pow(0+0j, 2+0j), 0.0) |
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139 self.assertRaises(ZeroDivisionError, pow, 0+0j, 1j) |
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140 self.assertAlmostEqual(pow(1j, -1), 1/1j) |
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141 self.assertAlmostEqual(pow(1j, 200), 1) |
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142 self.assertRaises(ValueError, pow, 1+1j, 1+1j, 1+1j) |
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143 |
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144 a = 3.33+4.43j |
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145 self.assertEqual(a ** 0j, 1) |
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146 self.assertEqual(a ** 0.+0.j, 1) |
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147 |
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148 self.assertEqual(3j ** 0j, 1) |
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149 self.assertEqual(3j ** 0, 1) |
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150 |
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151 try: |
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152 0j ** a |
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153 except ZeroDivisionError: |
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154 pass |
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155 else: |
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156 self.fail("should fail 0.0 to negative or complex power") |
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157 |
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158 try: |
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159 0j ** (3-2j) |
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160 except ZeroDivisionError: |
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161 pass |
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162 else: |
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163 self.fail("should fail 0.0 to negative or complex power") |
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164 |
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165 # The following is used to exercise certain code paths |
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166 self.assertEqual(a ** 105, a ** 105) |
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167 self.assertEqual(a ** -105, a ** -105) |
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168 self.assertEqual(a ** -30, a ** -30) |
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169 |
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170 self.assertEqual(0.0j ** 0, 1) |
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171 |
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172 b = 5.1+2.3j |
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173 self.assertRaises(ValueError, pow, a, b, 0) |
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174 |
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175 def test_boolcontext(self): |
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176 for i in range(100): |
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177 self.assertTrue(complex(random() + 1e-6, random() + 1e-6)) |
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178 self.assertTrue(not complex(0.0, 0.0)) |
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179 |
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180 def test_conjugate(self): |
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181 self.assertClose(complex(5.3, 9.8).conjugate(), 5.3-9.8j) |
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182 |
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183 def test_constructor(self): |
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184 class OS: |
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185 def __init__(self, value): self.value = value |
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186 def __complex__(self): return self.value |
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187 class NS(object): |
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188 def __init__(self, value): self.value = value |
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189 def __complex__(self): return self.value |
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190 self.assertEqual(complex(OS(1+10j)), 1+10j) |
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191 self.assertEqual(complex(NS(1+10j)), 1+10j) |
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192 self.assertRaises(TypeError, complex, OS(None)) |
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193 self.assertRaises(TypeError, complex, NS(None)) |
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194 |
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195 self.assertAlmostEqual(complex("1+10j"), 1+10j) |
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196 self.assertAlmostEqual(complex(10), 10+0j) |
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197 self.assertAlmostEqual(complex(10.0), 10+0j) |
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198 self.assertAlmostEqual(complex(10), 10+0j) |
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199 self.assertAlmostEqual(complex(10+0j), 10+0j) |
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200 self.assertAlmostEqual(complex(1,10), 1+10j) |
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201 self.assertAlmostEqual(complex(1,10), 1+10j) |
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202 self.assertAlmostEqual(complex(1,10.0), 1+10j) |
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203 self.assertAlmostEqual(complex(1,10), 1+10j) |
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204 self.assertAlmostEqual(complex(1,10), 1+10j) |
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205 self.assertAlmostEqual(complex(1,10.0), 1+10j) |
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206 self.assertAlmostEqual(complex(1.0,10), 1+10j) |
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207 self.assertAlmostEqual(complex(1.0,10), 1+10j) |
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208 self.assertAlmostEqual(complex(1.0,10.0), 1+10j) |
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209 self.assertAlmostEqual(complex(3.14+0j), 3.14+0j) |
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210 self.assertAlmostEqual(complex(3.14), 3.14+0j) |
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211 self.assertAlmostEqual(complex(314), 314.0+0j) |
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212 self.assertAlmostEqual(complex(314), 314.0+0j) |
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213 self.assertAlmostEqual(complex(3.14+0j, 0j), 3.14+0j) |
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214 self.assertAlmostEqual(complex(3.14, 0.0), 3.14+0j) |
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215 self.assertAlmostEqual(complex(314, 0), 314.0+0j) |
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216 self.assertAlmostEqual(complex(314, 0), 314.0+0j) |
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217 self.assertAlmostEqual(complex(0j, 3.14j), -3.14+0j) |
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218 self.assertAlmostEqual(complex(0.0, 3.14j), -3.14+0j) |
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219 self.assertAlmostEqual(complex(0j, 3.14), 3.14j) |
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220 self.assertAlmostEqual(complex(0.0, 3.14), 3.14j) |
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221 self.assertAlmostEqual(complex("1"), 1+0j) |
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222 self.assertAlmostEqual(complex("1j"), 1j) |
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223 self.assertAlmostEqual(complex(), 0) |
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224 self.assertAlmostEqual(complex("-1"), -1) |
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225 self.assertAlmostEqual(complex("+1"), +1) |
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226 self.assertAlmostEqual(complex("(1+2j)"), 1+2j) |
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227 self.assertAlmostEqual(complex("(1.3+2.2j)"), 1.3+2.2j) |
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228 self.assertAlmostEqual(complex("3.14+1J"), 3.14+1j) |
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229 self.assertAlmostEqual(complex(" ( +3.14-6J )"), 3.14-6j) |
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230 self.assertAlmostEqual(complex(" ( +3.14-J )"), 3.14-1j) |
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231 self.assertAlmostEqual(complex(" ( +3.14+j )"), 3.14+1j) |
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232 self.assertAlmostEqual(complex("J"), 1j) |
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233 self.assertAlmostEqual(complex("( j )"), 1j) |
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234 self.assertAlmostEqual(complex("+J"), 1j) |
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235 self.assertAlmostEqual(complex("( -j)"), -1j) |
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236 self.assertAlmostEqual(complex('1e-500'), 0.0 + 0.0j) |
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237 self.assertAlmostEqual(complex('-1e-500j'), 0.0 - 0.0j) |
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238 self.assertAlmostEqual(complex('-1e-500+1e-500j'), -0.0 + 0.0j) |
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239 |
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240 class complex2(complex): pass |
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241 self.assertAlmostEqual(complex(complex2(1+1j)), 1+1j) |
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242 self.assertAlmostEqual(complex(real=17, imag=23), 17+23j) |
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243 self.assertAlmostEqual(complex(real=17+23j), 17+23j) |
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244 self.assertAlmostEqual(complex(real=17+23j, imag=23), 17+46j) |
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245 self.assertAlmostEqual(complex(real=1+2j, imag=3+4j), -3+5j) |
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246 |
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247 # check that the sign of a zero in the real or imaginary part |
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248 # is preserved when constructing from two floats. (These checks |
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249 # are harmless on systems without support for signed zeros.) |
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250 def split_zeros(x): |
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251 """Function that produces different results for 0. and -0.""" |
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252 return atan2(x, -1.) |
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253 |
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254 self.assertEqual(split_zeros(complex(1., 0.).imag), split_zeros(0.)) |
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255 self.assertEqual(split_zeros(complex(1., -0.).imag), split_zeros(-0.)) |
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256 self.assertEqual(split_zeros(complex(0., 1.).real), split_zeros(0.)) |
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257 self.assertEqual(split_zeros(complex(-0., 1.).real), split_zeros(-0.)) |
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258 |
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259 c = 3.14 + 1j |
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260 self.assertTrue(complex(c) is c) |
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261 del c |
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262 |
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263 self.assertRaises(TypeError, complex, "1", "1") |
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264 self.assertRaises(TypeError, complex, 1, "1") |
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265 |
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266 # SF bug 543840: complex(string) accepts strings with \0 |
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267 # Fixed in 2.3. |
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268 self.assertRaises(ValueError, complex, '1+1j\0j') |
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269 |
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270 self.assertRaises(TypeError, int, 5+3j) |
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271 self.assertRaises(TypeError, int, 5+3j) |
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272 self.assertRaises(TypeError, float, 5+3j) |
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273 self.assertRaises(ValueError, complex, "") |
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274 self.assertRaises(TypeError, complex, None) |
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275 self.assertRaises(ValueError, complex, "\0") |
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276 self.assertRaises(ValueError, complex, "3\09") |
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277 self.assertRaises(TypeError, complex, "1", "2") |
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278 self.assertRaises(TypeError, complex, "1", 42) |
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279 self.assertRaises(TypeError, complex, 1, "2") |
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280 self.assertRaises(ValueError, complex, "1+") |
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281 self.assertRaises(ValueError, complex, "1+1j+1j") |
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282 self.assertRaises(ValueError, complex, "--") |
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283 self.assertRaises(ValueError, complex, "(1+2j") |
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284 self.assertRaises(ValueError, complex, "1+2j)") |
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285 self.assertRaises(ValueError, complex, "1+(2j)") |
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286 self.assertRaises(ValueError, complex, "(1+2j)123") |
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287 self.assertRaises(ValueError, complex, "1"*500) |
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288 self.assertRaises(ValueError, complex, "x") |
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289 self.assertRaises(ValueError, complex, "1j+2") |
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290 self.assertRaises(ValueError, complex, "1e1ej") |
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291 self.assertRaises(ValueError, complex, "1e++1ej") |
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292 self.assertRaises(ValueError, complex, ")1+2j(") |
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293 # the following three are accepted by Python 2.6 |
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294 self.assertRaises(ValueError, complex, "1..1j") |
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295 self.assertRaises(ValueError, complex, "1.11.1j") |
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296 self.assertRaises(ValueError, complex, "1e1.1j") |
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297 |
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298 class EvilExc(Exception): |
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299 pass |
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300 |
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301 class evilcomplex: |
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302 def __complex__(self): |
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303 raise EvilExc |
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304 |
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305 self.assertRaises(EvilExc, complex, evilcomplex()) |
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306 |
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307 class float2: |
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308 def __init__(self, value): |
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309 self.value = value |
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310 def __float__(self): |
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311 return self.value |
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312 |
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313 self.assertAlmostEqual(complex(float2(42.)), 42) |
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314 self.assertAlmostEqual(complex(real=float2(17.), imag=float2(23.)), 17+23j) |
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315 self.assertRaises(TypeError, complex, float2(None)) |
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316 |
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317 class complex0(complex): |
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318 """Test usage of __complex__() when inheriting from 'complex'""" |
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319 def __complex__(self): |
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320 return 42j |
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321 |
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322 class complex1(complex): |
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323 """Test usage of __complex__() with a __new__() method""" |
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324 def __new__(self, value=0j): |
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325 return complex.__new__(self, 2*value) |
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326 def __complex__(self): |
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327 return self |
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328 |
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329 class complex2(complex): |
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330 """Make sure that __complex__() calls fail if anything other than a |
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331 complex is returned""" |
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332 def __complex__(self): |
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333 return None |
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334 |
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335 self.assertAlmostEqual(complex(complex0(1j)), 42j) |
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336 self.assertAlmostEqual(complex(complex1(1j)), 2j) |
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337 self.assertRaises(TypeError, complex, complex2(1j)) |
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338 |
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339 def test_hash(self): |
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340 for x in range(-30, 30): |
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341 self.assertEqual(hash(x), hash(complex(x, 0))) |
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342 x /= 3.0 # now check against floating point |
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343 self.assertEqual(hash(x), hash(complex(x, 0.))) |
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344 |
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345 def test_abs(self): |
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346 nums = [complex(x/3., y/7.) for x in range(-9,9) for y in range(-9,9)] |
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347 for num in nums: |
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348 self.assertAlmostEqual((num.real**2 + num.imag**2) ** 0.5, abs(num)) |
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349 |
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350 def test_repr(self): |
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351 self.assertEqual(repr(1+6j), '(1+6j)') |
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352 self.assertEqual(repr(1-6j), '(1-6j)') |
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353 |
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354 self.assertNotEqual(repr(-(1+0j)), '(-1+-0j)') |
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355 |
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356 self.assertEqual(1-6j,complex(repr(1-6j))) |
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357 self.assertEqual(1+6j,complex(repr(1+6j))) |
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358 self.assertEqual(-6j,complex(repr(-6j))) |
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359 self.assertEqual(6j,complex(repr(6j))) |
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360 |
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361 self.assertEqual(repr(complex(1., INF)), "(1+infj)") |
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362 self.assertEqual(repr(complex(1., -INF)), "(1-infj)") |
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363 self.assertEqual(repr(complex(INF, 1)), "(inf+1j)") |
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364 self.assertEqual(repr(complex(-INF, INF)), "(-inf+infj)") |
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365 self.assertEqual(repr(complex(NAN, 1)), "(nan+1j)") |
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366 self.assertEqual(repr(complex(1, NAN)), "(1+nanj)") |
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367 self.assertEqual(repr(complex(NAN, NAN)), "(nan+nanj)") |
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369 self.assertEqual(repr(complex(0, INF)), "infj") |
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370 self.assertEqual(repr(complex(0, -INF)), "-infj") |
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371 self.assertEqual(repr(complex(0, NAN)), "nanj") |
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372 |
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373 def test_neg(self): |
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374 self.assertEqual(-(1+6j), -1-6j) |
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375 |
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376 def test_file(self): |
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377 a = 3.33+4.43j |
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378 b = 5.1+2.3j |
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379 |
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380 fo = None |
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381 try: |
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382 fo = open(support.TESTFN, "w") |
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383 print(a, b, file=fo) |
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384 fo.close() |
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385 fo = open(support.TESTFN, "r") |
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386 self.assertEqual(fo.read(), ("%s %s\n" % (a, b))) |
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387 finally: |
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388 if (fo is not None) and (not fo.closed): |
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389 fo.close() |
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390 try: |
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391 os.remove(support.TESTFN) |
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392 except (OSError, IOError): |
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393 pass |
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394 |
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395 def test_getnewargs(self): |
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396 self.assertEqual((1+2j).__getnewargs__(), (1.0, 2.0)) |
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397 self.assertEqual((1-2j).__getnewargs__(), (1.0, -2.0)) |
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398 self.assertEqual((2j).__getnewargs__(), (0.0, 2.0)) |
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399 self.assertEqual((-0j).__getnewargs__(), (0.0, -0.0)) |
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400 self.assertEqual(complex(0, INF).__getnewargs__(), (0.0, INF)) |
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401 self.assertEqual(complex(INF, 0).__getnewargs__(), (INF, 0.0)) |
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402 |
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403 if float.__getformat__("double").startswith("IEEE"): |
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404 def test_plus_minus_0j(self): |
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405 # test that -0j and 0j literals are not identified |
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406 z1, z2 = 0j, -0j |
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407 self.assertEquals(atan2(z1.imag, -1.), atan2(0., -1.)) |
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408 self.assertEquals(atan2(z2.imag, -1.), atan2(-0., -1.)) |
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409 |
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410 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"), |
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411 "test requires IEEE 754 doubles") |
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412 def test_overflow(self): |
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413 self.assertEqual(complex("1e500"), complex(INF, 0.0)) |
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414 self.assertEqual(complex("-1e500j"), complex(0.0, -INF)) |
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415 self.assertEqual(complex("-1e500+1.8e308j"), complex(-INF, INF)) |
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416 |
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417 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"), |
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418 "test requires IEEE 754 doubles") |
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419 def test_repr_roundtrip(self): |
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420 vals = [0.0, 1e-500, 1e-315, 1e-200, 0.0123, 3.1415, 1e50, INF, NAN] |
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421 vals += [-v for v in vals] |
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422 |
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423 # complex(repr(z)) should recover z exactly, even for complex |
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424 # numbers involving an infinity, nan, or negative zero |
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425 for x in vals: |
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426 for y in vals: |
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427 z = complex(x, y) |
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428 roundtrip = complex(repr(z)) |
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429 self.assertFloatsAreIdentical(z.real, roundtrip.real) |
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430 self.assertFloatsAreIdentical(z.imag, roundtrip.imag) |
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431 |
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432 # if we predefine some constants, then eval(repr(z)) should |
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433 # also work, except that it might change the sign of zeros |
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434 inf, nan = float('inf'), float('nan') |
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435 infj, nanj = complex(0.0, inf), complex(0.0, nan) |
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436 for x in vals: |
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437 for y in vals: |
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438 z = complex(x, y) |
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439 roundtrip = eval(repr(z)) |
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440 # adding 0.0 has no effect beside changing -0.0 to 0.0 |
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441 self.assertFloatsAreIdentical(0.0 + z.real, |
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442 0.0 + roundtrip.real) |
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443 self.assertFloatsAreIdentical(0.0 + z.imag, |
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444 0.0 + roundtrip.imag) |
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445 |
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446 def test_format(self): |
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447 # empty format string is same as str() |
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448 self.assertEqual(format(1+3j, ''), str(1+3j)) |
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449 self.assertEqual(format(1.5+3.5j, ''), str(1.5+3.5j)) |
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450 self.assertEqual(format(3j, ''), str(3j)) |
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451 self.assertEqual(format(3.2j, ''), str(3.2j)) |
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452 self.assertEqual(format(3+0j, ''), str(3+0j)) |
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453 self.assertEqual(format(3.2+0j, ''), str(3.2+0j)) |
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454 |
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455 # empty presentation type should still be analogous to str, |
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456 # even when format string is nonempty (issue #5920). |
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457 self.assertEqual(format(3.2+0j, '-'), str(3.2+0j)) |
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458 self.assertEqual(format(3.2+0j, '<'), str(3.2+0j)) |
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459 z = 4/7. - 100j/7. |
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460 self.assertEqual(format(z, ''), str(z)) |
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461 self.assertEqual(format(z, '-'), str(z)) |
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462 self.assertEqual(format(z, '<'), str(z)) |
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463 self.assertEqual(format(z, '10'), str(z)) |
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464 |
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465 self.assertEqual(format(1+3j, 'g'), '1+3j') |
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466 self.assertEqual(format(3j, 'g'), '0+3j') |
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467 self.assertEqual(format(1.5+3.5j, 'g'), '1.5+3.5j') |
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468 |
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469 self.assertEqual(format(1.5+3.5j, '+g'), '+1.5+3.5j') |
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470 self.assertEqual(format(1.5-3.5j, '+g'), '+1.5-3.5j') |
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471 self.assertEqual(format(1.5-3.5j, '-g'), '1.5-3.5j') |
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472 self.assertEqual(format(1.5+3.5j, ' g'), ' 1.5+3.5j') |
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473 self.assertEqual(format(1.5-3.5j, ' g'), ' 1.5-3.5j') |
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474 self.assertEqual(format(-1.5+3.5j, ' g'), '-1.5+3.5j') |
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475 self.assertEqual(format(-1.5-3.5j, ' g'), '-1.5-3.5j') |
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476 |
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477 self.assertEqual(format(-1.5-3.5e-20j, 'g'), '-1.5-3.5e-20j') |
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478 self.assertEqual(format(-1.5-3.5j, 'f'), '-1.500000-3.500000j') |
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479 self.assertEqual(format(-1.5-3.5j, 'F'), '-1.500000-3.500000j') |
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480 self.assertEqual(format(-1.5-3.5j, 'e'), '-1.500000e+00-3.500000e+00j') |
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481 self.assertEqual(format(-1.5-3.5j, '.2e'), '-1.50e+00-3.50e+00j') |
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482 self.assertEqual(format(-1.5-3.5j, '.2E'), '-1.50E+00-3.50E+00j') |
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483 self.assertEqual(format(-1.5e10-3.5e5j, '.2G'), '-1.5E+10-3.5E+05j') |
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484 |
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485 self.assertEqual(format(1.5+3j, '<20g'), '1.5+3j ') |
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486 self.assertEqual(format(1.5+3j, '*<20g'), '1.5+3j**************') |
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487 self.assertEqual(format(1.5+3j, '>20g'), ' 1.5+3j') |
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488 self.assertEqual(format(1.5+3j, '^20g'), ' 1.5+3j ') |
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489 self.assertEqual(format(1.5+3j, '<20'), '(1.5+3j) ') |
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490 self.assertEqual(format(1.5+3j, '>20'), ' (1.5+3j)') |
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491 self.assertEqual(format(1.5+3j, '^20'), ' (1.5+3j) ') |
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492 self.assertEqual(format(1.123-3.123j, '^20.2'), ' (1.1-3.1j) ') |
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493 |
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494 self.assertEqual(format(1.5+3j, '20.2f'), ' 1.50+3.00j') |
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495 self.assertEqual(format(1.5+3j, '>20.2f'), ' 1.50+3.00j') |
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496 self.assertEqual(format(1.5+3j, '<20.2f'), '1.50+3.00j ') |
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497 self.assertEqual(format(1.5e20+3j, '<20.2f'), '150000000000000000000.00+3.00j') |
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498 self.assertEqual(format(1.5e20+3j, '>40.2f'), ' 150000000000000000000.00+3.00j') |
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499 self.assertEqual(format(1.5e20+3j, '^40,.2f'), ' 150,000,000,000,000,000,000.00+3.00j ') |
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500 self.assertEqual(format(1.5e21+3j, '^40,.2f'), ' 1,500,000,000,000,000,000,000.00+3.00j ') |
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501 self.assertEqual(format(1.5e21+3000j, ',.2f'), '1,500,000,000,000,000,000,000.00+3,000.00j') |
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502 |
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503 # alternate is invalid |
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504 self.assertRaises(ValueError, (1.5+0.5j).__format__, '#f') |
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505 |
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506 # zero padding is invalid |
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507 self.assertRaises(ValueError, (1.5+0.5j).__format__, '010f') |
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508 |
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509 # '=' alignment is invalid |
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510 self.assertRaises(ValueError, (1.5+3j).__format__, '=20') |
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511 |
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512 # integer presentation types are an error |
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513 for t in 'bcdoxX': |
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514 self.assertRaises(ValueError, (1.5+0.5j).__format__, t) |
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515 |
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516 # make sure everything works in ''.format() |
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517 self.assertEqual('*{0:.3f}*'.format(3.14159+2.71828j), '*3.142+2.718j*') |
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518 |
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519 # issue 3382 |
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520 self.assertEqual(format(complex(NAN, NAN), 'f'), 'nan+nanj') |
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521 self.assertEqual(format(complex(1, NAN), 'f'), '1.000000+nanj') |
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522 self.assertEqual(format(complex(NAN, 1), 'f'), 'nan+1.000000j') |
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523 self.assertEqual(format(complex(NAN, -1), 'f'), 'nan-1.000000j') |
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524 self.assertEqual(format(complex(NAN, NAN), 'F'), 'NAN+NANj') |
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525 self.assertEqual(format(complex(1, NAN), 'F'), '1.000000+NANj') |
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526 self.assertEqual(format(complex(NAN, 1), 'F'), 'NAN+1.000000j') |
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527 self.assertEqual(format(complex(NAN, -1), 'F'), 'NAN-1.000000j') |
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528 self.assertEqual(format(complex(INF, INF), 'f'), 'inf+infj') |
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529 self.assertEqual(format(complex(1, INF), 'f'), '1.000000+infj') |
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530 self.assertEqual(format(complex(INF, 1), 'f'), 'inf+1.000000j') |
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531 self.assertEqual(format(complex(INF, -1), 'f'), 'inf-1.000000j') |
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532 self.assertEqual(format(complex(INF, INF), 'F'), 'INF+INFj') |
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533 self.assertEqual(format(complex(1, INF), 'F'), '1.000000+INFj') |
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534 self.assertEqual(format(complex(INF, 1), 'F'), 'INF+1.000000j') |
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535 self.assertEqual(format(complex(INF, -1), 'F'), 'INF-1.000000j') |
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536 |
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537 def test_main(): |
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538 support.run_unittest(ComplexTest) |
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539 |
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540 if __name__ == "__main__": |
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541 test_main() |
