Mercurial > cpython-lru_cache-weakref
annotate Lib/test/test_complex.py @ 71285:8bc9dbc61ba6 3.2
Issue #12326: document the recommended idiom for checking sys.platform on Unix systems.
Also, point to the various alternatives.
| author | Antoine Pitrou <solipsis@pitrou.net> |
|---|---|
| date | Sat, 09 Jul 2011 15:54:23 +0200 |
| parents | 3c9232a684ae |
| children | cddb3e1e5054 399e59ad0a70 |
| rev | line source |
|---|---|
| 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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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 self.assertRaises(TypeError, complex, {}) |
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224 |
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225 self.assertAlmostEqual(complex("1+10j"), 1+10j) |
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226 self.assertAlmostEqual(complex(10), 10+0j) |
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227 self.assertAlmostEqual(complex(10.0), 10+0j) |
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228 self.assertAlmostEqual(complex(10), 10+0j) |
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229 self.assertAlmostEqual(complex(10+0j), 10+0j) |
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230 self.assertAlmostEqual(complex(1,10), 1+10j) |
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231 self.assertAlmostEqual(complex(1,10), 1+10j) |
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232 self.assertAlmostEqual(complex(1,10.0), 1+10j) |
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233 self.assertAlmostEqual(complex(1,10), 1+10j) |
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234 self.assertAlmostEqual(complex(1,10), 1+10j) |
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235 self.assertAlmostEqual(complex(1,10.0), 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), 1+10j) |
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238 self.assertAlmostEqual(complex(1.0,10.0), 1+10j) |
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239 self.assertAlmostEqual(complex(3.14+0j), 3.14+0j) |
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240 self.assertAlmostEqual(complex(3.14), 3.14+0j) |
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241 self.assertAlmostEqual(complex(314), 314.0+0j) |
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242 self.assertAlmostEqual(complex(314), 314.0+0j) |
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243 self.assertAlmostEqual(complex(3.14+0j, 0j), 3.14+0j) |
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244 self.assertAlmostEqual(complex(3.14, 0.0), 3.14+0j) |
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245 self.assertAlmostEqual(complex(314, 0), 314.0+0j) |
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246 self.assertAlmostEqual(complex(314, 0), 314.0+0j) |
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247 self.assertAlmostEqual(complex(0j, 3.14j), -3.14+0j) |
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248 self.assertAlmostEqual(complex(0.0, 3.14j), -3.14+0j) |
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249 self.assertAlmostEqual(complex(0j, 3.14), 3.14j) |
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250 self.assertAlmostEqual(complex(0.0, 3.14), 3.14j) |
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251 self.assertAlmostEqual(complex("1"), 1+0j) |
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252 self.assertAlmostEqual(complex("1j"), 1j) |
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253 self.assertAlmostEqual(complex(), 0) |
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254 self.assertAlmostEqual(complex("-1"), -1) |
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255 self.assertAlmostEqual(complex("+1"), +1) |
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256 self.assertAlmostEqual(complex("(1+2j)"), 1+2j) |
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257 self.assertAlmostEqual(complex("(1.3+2.2j)"), 1.3+2.2j) |
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258 self.assertAlmostEqual(complex("3.14+1J"), 3.14+1j) |
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259 self.assertAlmostEqual(complex(" ( +3.14-6J )"), 3.14-6j) |
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260 self.assertAlmostEqual(complex(" ( +3.14-J )"), 3.14-1j) |
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261 self.assertAlmostEqual(complex(" ( +3.14+j )"), 3.14+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("( -j)"), -1j) |
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266 self.assertAlmostEqual(complex('1e-500'), 0.0 + 0.0j) |
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267 self.assertAlmostEqual(complex('-1e-500j'), 0.0 - 0.0j) |
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268 self.assertAlmostEqual(complex('-1e-500+1e-500j'), -0.0 + 0.0j) |
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269 |
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270 class complex2(complex): pass |
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271 self.assertAlmostEqual(complex(complex2(1+1j)), 1+1j) |
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272 self.assertAlmostEqual(complex(real=17, imag=23), 17+23j) |
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273 self.assertAlmostEqual(complex(real=17+23j), 17+23j) |
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274 self.assertAlmostEqual(complex(real=17+23j, imag=23), 17+46j) |
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275 self.assertAlmostEqual(complex(real=1+2j, imag=3+4j), -3+5j) |
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276 |
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277 # check that the sign of a zero in the real or imaginary part |
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278 # is preserved when constructing from two floats. (These checks |
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279 # are harmless on systems without support for signed zeros.) |
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280 def split_zeros(x): |
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281 """Function that produces different results for 0. and -0.""" |
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282 return atan2(x, -1.) |
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283 |
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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(1., -0.).imag), split_zeros(-0.)) |
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286 self.assertEqual(split_zeros(complex(0., 1.).real), split_zeros(0.)) |
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287 self.assertEqual(split_zeros(complex(-0., 1.).real), split_zeros(-0.)) |
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288 |
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289 c = 3.14 + 1j |
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290 self.assertTrue(complex(c) is c) |
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291 del c |
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292 |
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293 self.assertRaises(TypeError, complex, "1", "1") |
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294 self.assertRaises(TypeError, complex, 1, "1") |
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295 |
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296 # SF bug 543840: complex(string) accepts strings with \0 |
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297 # Fixed in 2.3. |
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298 self.assertRaises(ValueError, complex, '1+1j\0j') |
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299 |
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300 self.assertRaises(TypeError, int, 5+3j) |
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301 self.assertRaises(TypeError, int, 5+3j) |
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302 self.assertRaises(TypeError, float, 5+3j) |
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303 self.assertRaises(ValueError, complex, "") |
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304 self.assertRaises(TypeError, complex, None) |
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305 self.assertRaises(ValueError, complex, "\0") |
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306 self.assertRaises(ValueError, complex, "3\09") |
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307 self.assertRaises(TypeError, complex, "1", "2") |
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308 self.assertRaises(TypeError, complex, "1", 42) |
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309 self.assertRaises(TypeError, complex, 1, "2") |
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310 self.assertRaises(ValueError, complex, "1+") |
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311 self.assertRaises(ValueError, complex, "1+1j+1j") |
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312 self.assertRaises(ValueError, complex, "--") |
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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)") |
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316 self.assertRaises(ValueError, complex, "(1+2j)123") |
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317 self.assertRaises(ValueError, complex, "x") |
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318 self.assertRaises(ValueError, complex, "1j+2") |
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319 self.assertRaises(ValueError, complex, "1e1ej") |
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320 self.assertRaises(ValueError, complex, "1e++1ej") |
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321 self.assertRaises(ValueError, complex, ")1+2j(") |
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322 # the following three are accepted by Python 2.6 |
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323 self.assertRaises(ValueError, complex, "1..1j") |
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324 self.assertRaises(ValueError, complex, "1.11.1j") |
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325 self.assertRaises(ValueError, complex, "1e1.1j") |
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326 |
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327 # check that complex accepts long unicode strings |
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328 self.assertEqual(type(complex("1"*500)), complex) |
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329 # check whitespace processing |
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330 self.assertEqual(complex('\N{EM SPACE}(\N{EN SPACE}1+1j ) '), 1+1j) |
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331 |
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332 class EvilExc(Exception): |
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333 pass |
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334 |
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335 class evilcomplex: |
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336 def __complex__(self): |
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337 raise EvilExc |
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338 |
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339 self.assertRaises(EvilExc, complex, evilcomplex()) |
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340 |
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341 class float2: |
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342 def __init__(self, value): |
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343 self.value = value |
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344 def __float__(self): |
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345 return self.value |
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346 |
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347 self.assertAlmostEqual(complex(float2(42.)), 42) |
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348 self.assertAlmostEqual(complex(real=float2(17.), imag=float2(23.)), 17+23j) |
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349 self.assertRaises(TypeError, complex, float2(None)) |
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350 |
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351 class complex0(complex): |
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352 """Test usage of __complex__() when inheriting from 'complex'""" |
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353 def __complex__(self): |
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354 return 42j |
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355 |
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356 class complex1(complex): |
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357 """Test usage of __complex__() with a __new__() method""" |
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358 def __new__(self, value=0j): |
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359 return complex.__new__(self, 2*value) |
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360 def __complex__(self): |
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361 return self |
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362 |
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363 class complex2(complex): |
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364 """Make sure that __complex__() calls fail if anything other than a |
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365 complex is returned""" |
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366 def __complex__(self): |
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367 return None |
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368 |
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369 self.assertAlmostEqual(complex(complex0(1j)), 42j) |
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370 self.assertAlmostEqual(complex(complex1(1j)), 2j) |
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371 self.assertRaises(TypeError, complex, complex2(1j)) |
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372 |
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373 def test_hash(self): |
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374 for x in range(-30, 30): |
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375 self.assertEqual(hash(x), hash(complex(x, 0))) |
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376 x /= 3.0 # now check against floating point |
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377 self.assertEqual(hash(x), hash(complex(x, 0.))) |
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378 |
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379 def test_abs(self): |
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380 nums = [complex(x/3., y/7.) for x in range(-9,9) for y in range(-9,9)] |
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381 for num in nums: |
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382 self.assertAlmostEqual((num.real**2 + num.imag**2) ** 0.5, abs(num)) |
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383 |
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384 def test_repr_str(self): |
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385 def test(v, expected, test_fn=self.assertEqual): |
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386 test_fn(repr(v), expected) |
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387 test_fn(str(v), expected) |
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388 |
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389 test(1+6j, '(1+6j)') |
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390 test(1-6j, '(1-6j)') |
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391 |
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392 test(-(1+0j), '(-1+-0j)', test_fn=self.assertNotEqual) |
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393 |
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394 test(complex(1., INF), "(1+infj)") |
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395 test(complex(1., -INF), "(1-infj)") |
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396 test(complex(INF, 1), "(inf+1j)") |
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397 test(complex(-INF, INF), "(-inf+infj)") |
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398 test(complex(NAN, 1), "(nan+1j)") |
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399 test(complex(1, NAN), "(1+nanj)") |
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400 test(complex(NAN, NAN), "(nan+nanj)") |
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401 |
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402 test(complex(0, INF), "infj") |
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403 test(complex(0, -INF), "-infj") |
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404 test(complex(0, NAN), "nanj") |
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405 |
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406 self.assertEqual(1-6j,complex(repr(1-6j))) |
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407 self.assertEqual(1+6j,complex(repr(1+6j))) |
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408 self.assertEqual(-6j,complex(repr(-6j))) |
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409 self.assertEqual(6j,complex(repr(6j))) |
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411 @support.requires_IEEE_754 |
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412 def test_negative_zero_repr_str(self): |
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413 def test(v, expected, test_fn=self.assertEqual): |
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414 test_fn(repr(v), expected) |
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415 test_fn(str(v), expected) |
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417 test(complex(0., 1.), "1j") |
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418 test(complex(-0., 1.), "(-0+1j)") |
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419 test(complex(0., -1.), "-1j") |
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420 test(complex(-0., -1.), "(-0-1j)") |
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422 test(complex(0., 0.), "0j") |
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423 test(complex(0., -0.), "-0j") |
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424 test(complex(-0., 0.), "(-0+0j)") |
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425 test(complex(-0., -0.), "(-0-0j)") |
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427 def test_neg(self): |
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428 self.assertEqual(-(1+6j), -1-6j) |
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430 def test_file(self): |
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431 a = 3.33+4.43j |
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432 b = 5.1+2.3j |
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434 fo = None |
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435 try: |
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436 fo = open(support.TESTFN, "w") |
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437 print(a, b, file=fo) |
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438 fo.close() |
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439 fo = open(support.TESTFN, "r") |
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440 self.assertEqual(fo.read(), ("%s %s\n" % (a, b))) |
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441 finally: |
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442 if (fo is not None) and (not fo.closed): |
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443 fo.close() |
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446 def test_getnewargs(self): |
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447 self.assertEqual((1+2j).__getnewargs__(), (1.0, 2.0)) |
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448 self.assertEqual((1-2j).__getnewargs__(), (1.0, -2.0)) |
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449 self.assertEqual((2j).__getnewargs__(), (0.0, 2.0)) |
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450 self.assertEqual((-0j).__getnewargs__(), (0.0, -0.0)) |
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451 self.assertEqual(complex(0, INF).__getnewargs__(), (0.0, INF)) |
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452 self.assertEqual(complex(INF, 0).__getnewargs__(), (INF, 0.0)) |
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454 @support.requires_IEEE_754 |
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455 def test_plus_minus_0j(self): |
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456 # test that -0j and 0j literals are not identified |
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457 z1, z2 = 0j, -0j |
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458 self.assertEqual(atan2(z1.imag, -1.), atan2(0., -1.)) |
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459 self.assertEqual(atan2(z2.imag, -1.), atan2(-0., -1.)) |
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461 @support.requires_IEEE_754 |
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462 def test_negated_imaginary_literal(self): |
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463 z0 = -0j |
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464 z1 = -7j |
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465 z2 = -1e1000j |
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466 # Note: In versions of Python < 3.2, a negated imaginary literal |
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467 # accidentally ended up with real part 0.0 instead of -0.0, thanks to a |
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468 # modification during CST -> AST translation (see issue #9011). That's |
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469 # fixed in Python 3.2. |
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470 self.assertFloatsAreIdentical(z0.real, -0.0) |
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471 self.assertFloatsAreIdentical(z0.imag, -0.0) |
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472 self.assertFloatsAreIdentical(z1.real, -0.0) |
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473 self.assertFloatsAreIdentical(z1.imag, -7.0) |
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474 self.assertFloatsAreIdentical(z2.real, -0.0) |
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475 self.assertFloatsAreIdentical(z2.imag, -INF) |
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477 @support.requires_IEEE_754 |
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478 def test_overflow(self): |
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479 self.assertEqual(complex("1e500"), complex(INF, 0.0)) |
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480 self.assertEqual(complex("-1e500j"), complex(0.0, -INF)) |
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481 self.assertEqual(complex("-1e500+1.8e308j"), complex(-INF, INF)) |
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483 @support.requires_IEEE_754 |
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484 def test_repr_roundtrip(self): |
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485 vals = [0.0, 1e-500, 1e-315, 1e-200, 0.0123, 3.1415, 1e50, INF, NAN] |
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486 vals += [-v for v in vals] |
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487 |
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488 # complex(repr(z)) should recover z exactly, even for complex |
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489 # numbers involving an infinity, nan, or negative zero |
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490 for x in vals: |
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491 for y in vals: |
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492 z = complex(x, y) |
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493 roundtrip = complex(repr(z)) |
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494 self.assertFloatsAreIdentical(z.real, roundtrip.real) |
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495 self.assertFloatsAreIdentical(z.imag, roundtrip.imag) |
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496 |
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497 # if we predefine some constants, then eval(repr(z)) should |
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498 # also work, except that it might change the sign of zeros |
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499 inf, nan = float('inf'), float('nan') |
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500 infj, nanj = complex(0.0, inf), complex(0.0, nan) |
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501 for x in vals: |
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502 for y in vals: |
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503 z = complex(x, y) |
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504 roundtrip = eval(repr(z)) |
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505 # adding 0.0 has no effect beside changing -0.0 to 0.0 |
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506 self.assertFloatsAreIdentical(0.0 + z.real, |
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507 0.0 + roundtrip.real) |
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508 self.assertFloatsAreIdentical(0.0 + z.imag, |
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509 0.0 + roundtrip.imag) |
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510 |
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511 def test_format(self): |
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512 # empty format string is same as str() |
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513 self.assertEqual(format(1+3j, ''), str(1+3j)) |
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514 self.assertEqual(format(1.5+3.5j, ''), str(1.5+3.5j)) |
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515 self.assertEqual(format(3j, ''), str(3j)) |
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516 self.assertEqual(format(3.2j, ''), str(3.2j)) |
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517 self.assertEqual(format(3+0j, ''), str(3+0j)) |
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518 self.assertEqual(format(3.2+0j, ''), str(3.2+0j)) |
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519 |
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520 # empty presentation type should still be analogous to str, |
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521 # even when format string is nonempty (issue #5920). |
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522 self.assertEqual(format(3.2+0j, '-'), str(3.2+0j)) |
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523 self.assertEqual(format(3.2+0j, '<'), str(3.2+0j)) |
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524 z = 4/7. - 100j/7. |
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525 self.assertEqual(format(z, ''), str(z)) |
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526 self.assertEqual(format(z, '-'), str(z)) |
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527 self.assertEqual(format(z, '<'), str(z)) |
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528 self.assertEqual(format(z, '10'), str(z)) |
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529 z = complex(0.0, 3.0) |
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530 self.assertEqual(format(z, ''), str(z)) |
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531 self.assertEqual(format(z, '-'), str(z)) |
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532 self.assertEqual(format(z, '<'), str(z)) |
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533 self.assertEqual(format(z, '2'), str(z)) |
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534 z = complex(-0.0, 2.0) |
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535 self.assertEqual(format(z, ''), str(z)) |
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536 self.assertEqual(format(z, '-'), str(z)) |
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537 self.assertEqual(format(z, '<'), str(z)) |
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538 self.assertEqual(format(z, '3'), str(z)) |
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539 |
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540 self.assertEqual(format(1+3j, 'g'), '1+3j') |
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541 self.assertEqual(format(3j, 'g'), '0+3j') |
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542 self.assertEqual(format(1.5+3.5j, 'g'), '1.5+3.5j') |
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543 |
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544 self.assertEqual(format(1.5+3.5j, '+g'), '+1.5+3.5j') |
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545 self.assertEqual(format(1.5-3.5j, '+g'), '+1.5-3.5j') |
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546 self.assertEqual(format(1.5-3.5j, '-g'), '1.5-3.5j') |
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547 self.assertEqual(format(1.5+3.5j, ' g'), ' 1.5+3.5j') |
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548 self.assertEqual(format(1.5-3.5j, ' g'), ' 1.5-3.5j') |
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549 self.assertEqual(format(-1.5+3.5j, ' g'), '-1.5+3.5j') |
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550 self.assertEqual(format(-1.5-3.5j, ' g'), '-1.5-3.5j') |
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551 |
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552 self.assertEqual(format(-1.5-3.5e-20j, 'g'), '-1.5-3.5e-20j') |
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553 self.assertEqual(format(-1.5-3.5j, 'f'), '-1.500000-3.500000j') |
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554 self.assertEqual(format(-1.5-3.5j, 'F'), '-1.500000-3.500000j') |
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555 self.assertEqual(format(-1.5-3.5j, 'e'), '-1.500000e+00-3.500000e+00j') |
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556 self.assertEqual(format(-1.5-3.5j, '.2e'), '-1.50e+00-3.50e+00j') |
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557 self.assertEqual(format(-1.5-3.5j, '.2E'), '-1.50E+00-3.50E+00j') |
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558 self.assertEqual(format(-1.5e10-3.5e5j, '.2G'), '-1.5E+10-3.5E+05j') |
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559 |
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560 self.assertEqual(format(1.5+3j, '<20g'), '1.5+3j ') |
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561 self.assertEqual(format(1.5+3j, '*<20g'), '1.5+3j**************') |
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562 self.assertEqual(format(1.5+3j, '>20g'), ' 1.5+3j') |
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563 self.assertEqual(format(1.5+3j, '^20g'), ' 1.5+3j ') |
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564 self.assertEqual(format(1.5+3j, '<20'), '(1.5+3j) ') |
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565 self.assertEqual(format(1.5+3j, '>20'), ' (1.5+3j)') |
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566 self.assertEqual(format(1.5+3j, '^20'), ' (1.5+3j) ') |
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567 self.assertEqual(format(1.123-3.123j, '^20.2'), ' (1.1-3.1j) ') |
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568 |
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569 self.assertEqual(format(1.5+3j, '20.2f'), ' 1.50+3.00j') |
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570 self.assertEqual(format(1.5+3j, '>20.2f'), ' 1.50+3.00j') |
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571 self.assertEqual(format(1.5+3j, '<20.2f'), '1.50+3.00j ') |
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572 self.assertEqual(format(1.5e20+3j, '<20.2f'), '150000000000000000000.00+3.00j') |
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573 self.assertEqual(format(1.5e20+3j, '>40.2f'), ' 150000000000000000000.00+3.00j') |
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574 self.assertEqual(format(1.5e20+3j, '^40,.2f'), ' 150,000,000,000,000,000,000.00+3.00j ') |
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575 self.assertEqual(format(1.5e21+3j, '^40,.2f'), ' 1,500,000,000,000,000,000,000.00+3.00j ') |
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576 self.assertEqual(format(1.5e21+3000j, ',.2f'), '1,500,000,000,000,000,000,000.00+3,000.00j') |
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577 |
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578 # Issue 7094: Alternate formatting (specified by #) |
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579 self.assertEqual(format(1+1j, '.0e'), '1e+00+1e+00j') |
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580 self.assertEqual(format(1+1j, '#.0e'), '1.e+00+1.e+00j') |
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581 self.assertEqual(format(1+1j, '.0f'), '1+1j') |
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582 self.assertEqual(format(1+1j, '#.0f'), '1.+1.j') |
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583 self.assertEqual(format(1.1+1.1j, 'g'), '1.1+1.1j') |
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584 self.assertEqual(format(1.1+1.1j, '#g'), '1.10000+1.10000j') |
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585 |
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586 # Alternate doesn't make a difference for these, they format the same with or without it |
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587 self.assertEqual(format(1+1j, '.1e'), '1.0e+00+1.0e+00j') |
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588 self.assertEqual(format(1+1j, '#.1e'), '1.0e+00+1.0e+00j') |
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Issue #7094: Add alternate ('#') flag to __format__ methods for float, complex and Decimal. Allows greater control over when decimal points appear. Added to make transitioning from %-formatting easier. '#g' still has a problem with Decimal which I'll fix soon.
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589 self.assertEqual(format(1+1j, '.1f'), '1.0+1.0j') |
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590 self.assertEqual(format(1+1j, '#.1f'), '1.0+1.0j') |
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591 |
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Issue #7094: Add alternate ('#') flag to __format__ methods for float, complex and Decimal. Allows greater control over when decimal points appear. Added to make transitioning from %-formatting easier. '#g' still has a problem with Decimal which I'll fix soon.
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592 # Misc. other alternate tests |
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593 self.assertEqual(format((-1.5+0.5j), '#f'), '-1.500000+0.500000j') |
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594 self.assertEqual(format((-1.5+0.5j), '#.0f'), '-2.+0.j') |
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595 self.assertEqual(format((-1.5+0.5j), '#e'), '-1.500000e+00+5.000000e-01j') |
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596 self.assertEqual(format((-1.5+0.5j), '#.0e'), '-2.e+00+5.e-01j') |
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597 self.assertEqual(format((-1.5+0.5j), '#g'), '-1.50000+0.500000j') |
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598 self.assertEqual(format((-1.5+0.5j), '.0g'), '-2+0.5j') |
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599 self.assertEqual(format((-1.5+0.5j), '#.0g'), '-2.+0.5j') |
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Issue #1588: Add complex.__format__.
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600 |
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601 # zero padding is invalid |
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602 self.assertRaises(ValueError, (1.5+0.5j).__format__, '010f') |
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603 |
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604 # '=' alignment is invalid |
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605 self.assertRaises(ValueError, (1.5+3j).__format__, '=20') |
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606 |
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607 # integer presentation types are an error |
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608 for t in 'bcdoxX': |
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609 self.assertRaises(ValueError, (1.5+0.5j).__format__, t) |
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610 |
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611 # make sure everything works in ''.format() |
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612 self.assertEqual('*{0:.3f}*'.format(3.14159+2.71828j), '*3.142+2.718j*') |
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Issue #5816: Simplify code for parsing and printing of complex numbers.
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613 |
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Issue #3382. float 'F' formatting no longer maps to 'f'. This only affects nan and inf.
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614 # issue 3382 |
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615 self.assertEqual(format(complex(NAN, NAN), 'f'), 'nan+nanj') |
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616 self.assertEqual(format(complex(1, NAN), 'f'), '1.000000+nanj') |
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617 self.assertEqual(format(complex(NAN, 1), 'f'), 'nan+1.000000j') |
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618 self.assertEqual(format(complex(NAN, -1), 'f'), 'nan-1.000000j') |
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619 self.assertEqual(format(complex(NAN, NAN), 'F'), 'NAN+NANj') |
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620 self.assertEqual(format(complex(1, NAN), 'F'), '1.000000+NANj') |
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621 self.assertEqual(format(complex(NAN, 1), 'F'), 'NAN+1.000000j') |
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622 self.assertEqual(format(complex(NAN, -1), 'F'), 'NAN-1.000000j') |
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623 self.assertEqual(format(complex(INF, INF), 'f'), 'inf+infj') |
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624 self.assertEqual(format(complex(1, INF), 'f'), '1.000000+infj') |
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625 self.assertEqual(format(complex(INF, 1), 'f'), 'inf+1.000000j') |
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626 self.assertEqual(format(complex(INF, -1), 'f'), 'inf-1.000000j') |
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627 self.assertEqual(format(complex(INF, INF), 'F'), 'INF+INFj') |
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628 self.assertEqual(format(complex(1, INF), 'F'), '1.000000+INFj') |
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629 self.assertEqual(format(complex(INF, 1), 'F'), 'INF+1.000000j') |
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630 self.assertEqual(format(complex(INF, -1), 'F'), 'INF-1.000000j') |
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631 |
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632 def test_main(): |
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633 support.run_unittest(ComplexTest) |
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634 |
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635 if __name__ == "__main__": |
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636 test_main() |
