1 | n/a | """Tests for binary operators on subtypes of built-in types.""" |
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2 | n/a | |
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3 | n/a | import unittest |
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4 | n/a | from test import support |
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5 | n/a | from operator import eq, le, ne |
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6 | n/a | from abc import ABCMeta |
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7 | n/a | |
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8 | n/a | def gcd(a, b): |
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9 | n/a | """Greatest common divisor using Euclid's algorithm.""" |
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10 | n/a | while a: |
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11 | n/a | a, b = b%a, a |
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12 | n/a | return b |
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13 | n/a | |
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14 | n/a | def isint(x): |
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15 | n/a | """Test whether an object is an instance of int.""" |
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16 | n/a | return isinstance(x, int) |
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17 | n/a | |
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18 | n/a | def isnum(x): |
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19 | n/a | """Test whether an object is an instance of a built-in numeric type.""" |
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20 | n/a | for T in int, float, complex: |
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21 | n/a | if isinstance(x, T): |
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22 | n/a | return 1 |
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23 | n/a | return 0 |
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24 | n/a | |
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25 | n/a | def isRat(x): |
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26 | n/a | """Test wheter an object is an instance of the Rat class.""" |
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27 | n/a | return isinstance(x, Rat) |
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28 | n/a | |
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29 | n/a | class Rat(object): |
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30 | n/a | |
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31 | n/a | """Rational number implemented as a normalized pair of ints.""" |
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32 | n/a | |
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33 | n/a | __slots__ = ['_Rat__num', '_Rat__den'] |
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34 | n/a | |
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35 | n/a | def __init__(self, num=0, den=1): |
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36 | n/a | """Constructor: Rat([num[, den]]). |
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37 | n/a | |
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38 | n/a | The arguments must be ints, and default to (0, 1).""" |
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39 | n/a | if not isint(num): |
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40 | n/a | raise TypeError("Rat numerator must be int (%r)" % num) |
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41 | n/a | if not isint(den): |
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42 | n/a | raise TypeError("Rat denominator must be int (%r)" % den) |
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43 | n/a | # But the zero is always on |
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44 | n/a | if den == 0: |
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45 | n/a | raise ZeroDivisionError("zero denominator") |
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46 | n/a | g = gcd(den, num) |
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47 | n/a | self.__num = int(num//g) |
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48 | n/a | self.__den = int(den//g) |
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49 | n/a | |
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50 | n/a | def _get_num(self): |
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51 | n/a | """Accessor function for read-only 'num' attribute of Rat.""" |
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52 | n/a | return self.__num |
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53 | n/a | num = property(_get_num, None) |
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54 | n/a | |
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55 | n/a | def _get_den(self): |
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56 | n/a | """Accessor function for read-only 'den' attribute of Rat.""" |
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57 | n/a | return self.__den |
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58 | n/a | den = property(_get_den, None) |
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59 | n/a | |
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60 | n/a | def __repr__(self): |
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61 | n/a | """Convert a Rat to a string resembling a Rat constructor call.""" |
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62 | n/a | return "Rat(%d, %d)" % (self.__num, self.__den) |
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63 | n/a | |
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64 | n/a | def __str__(self): |
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65 | n/a | """Convert a Rat to a string resembling a decimal numeric value.""" |
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66 | n/a | return str(float(self)) |
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67 | n/a | |
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68 | n/a | def __float__(self): |
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69 | n/a | """Convert a Rat to a float.""" |
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70 | n/a | return self.__num*1.0/self.__den |
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71 | n/a | |
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72 | n/a | def __int__(self): |
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73 | n/a | """Convert a Rat to an int; self.den must be 1.""" |
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74 | n/a | if self.__den == 1: |
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75 | n/a | try: |
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76 | n/a | return int(self.__num) |
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77 | n/a | except OverflowError: |
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78 | n/a | raise OverflowError("%s too large to convert to int" % |
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79 | n/a | repr(self)) |
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80 | n/a | raise ValueError("can't convert %s to int" % repr(self)) |
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81 | n/a | |
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82 | n/a | def __add__(self, other): |
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83 | n/a | """Add two Rats, or a Rat and a number.""" |
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84 | n/a | if isint(other): |
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85 | n/a | other = Rat(other) |
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86 | n/a | if isRat(other): |
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87 | n/a | return Rat(self.__num*other.__den + other.__num*self.__den, |
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88 | n/a | self.__den*other.__den) |
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89 | n/a | if isnum(other): |
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90 | n/a | return float(self) + other |
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91 | n/a | return NotImplemented |
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92 | n/a | |
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93 | n/a | __radd__ = __add__ |
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94 | n/a | |
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95 | n/a | def __sub__(self, other): |
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96 | n/a | """Subtract two Rats, or a Rat and a number.""" |
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97 | n/a | if isint(other): |
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98 | n/a | other = Rat(other) |
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99 | n/a | if isRat(other): |
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100 | n/a | return Rat(self.__num*other.__den - other.__num*self.__den, |
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101 | n/a | self.__den*other.__den) |
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102 | n/a | if isnum(other): |
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103 | n/a | return float(self) - other |
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104 | n/a | return NotImplemented |
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105 | n/a | |
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106 | n/a | def __rsub__(self, other): |
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107 | n/a | """Subtract two Rats, or a Rat and a number (reversed args).""" |
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108 | n/a | if isint(other): |
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109 | n/a | other = Rat(other) |
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110 | n/a | if isRat(other): |
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111 | n/a | return Rat(other.__num*self.__den - self.__num*other.__den, |
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112 | n/a | self.__den*other.__den) |
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113 | n/a | if isnum(other): |
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114 | n/a | return other - float(self) |
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115 | n/a | return NotImplemented |
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116 | n/a | |
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117 | n/a | def __mul__(self, other): |
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118 | n/a | """Multiply two Rats, or a Rat and a number.""" |
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119 | n/a | if isRat(other): |
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120 | n/a | return Rat(self.__num*other.__num, self.__den*other.__den) |
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121 | n/a | if isint(other): |
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122 | n/a | return Rat(self.__num*other, self.__den) |
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123 | n/a | if isnum(other): |
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124 | n/a | return float(self)*other |
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125 | n/a | return NotImplemented |
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126 | n/a | |
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127 | n/a | __rmul__ = __mul__ |
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128 | n/a | |
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129 | n/a | def __truediv__(self, other): |
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130 | n/a | """Divide two Rats, or a Rat and a number.""" |
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131 | n/a | if isRat(other): |
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132 | n/a | return Rat(self.__num*other.__den, self.__den*other.__num) |
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133 | n/a | if isint(other): |
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134 | n/a | return Rat(self.__num, self.__den*other) |
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135 | n/a | if isnum(other): |
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136 | n/a | return float(self) / other |
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137 | n/a | return NotImplemented |
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138 | n/a | |
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139 | n/a | def __rtruediv__(self, other): |
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140 | n/a | """Divide two Rats, or a Rat and a number (reversed args).""" |
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141 | n/a | if isRat(other): |
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142 | n/a | return Rat(other.__num*self.__den, other.__den*self.__num) |
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143 | n/a | if isint(other): |
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144 | n/a | return Rat(other*self.__den, self.__num) |
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145 | n/a | if isnum(other): |
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146 | n/a | return other / float(self) |
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147 | n/a | return NotImplemented |
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148 | n/a | |
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149 | n/a | def __floordiv__(self, other): |
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150 | n/a | """Divide two Rats, returning the floored result.""" |
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151 | n/a | if isint(other): |
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152 | n/a | other = Rat(other) |
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153 | n/a | elif not isRat(other): |
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154 | n/a | return NotImplemented |
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155 | n/a | x = self/other |
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156 | n/a | return x.__num // x.__den |
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157 | n/a | |
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158 | n/a | def __rfloordiv__(self, other): |
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159 | n/a | """Divide two Rats, returning the floored result (reversed args).""" |
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160 | n/a | x = other/self |
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161 | n/a | return x.__num // x.__den |
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162 | n/a | |
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163 | n/a | def __divmod__(self, other): |
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164 | n/a | """Divide two Rats, returning quotient and remainder.""" |
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165 | n/a | if isint(other): |
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166 | n/a | other = Rat(other) |
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167 | n/a | elif not isRat(other): |
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168 | n/a | return NotImplemented |
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169 | n/a | x = self//other |
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170 | n/a | return (x, self - other * x) |
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171 | n/a | |
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172 | n/a | def __rdivmod__(self, other): |
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173 | n/a | """Divide two Rats, returning quotient and remainder (reversed args).""" |
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174 | n/a | if isint(other): |
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175 | n/a | other = Rat(other) |
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176 | n/a | elif not isRat(other): |
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177 | n/a | return NotImplemented |
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178 | n/a | return divmod(other, self) |
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179 | n/a | |
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180 | n/a | def __mod__(self, other): |
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181 | n/a | """Take one Rat modulo another.""" |
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182 | n/a | return divmod(self, other)[1] |
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183 | n/a | |
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184 | n/a | def __rmod__(self, other): |
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185 | n/a | """Take one Rat modulo another (reversed args).""" |
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186 | n/a | return divmod(other, self)[1] |
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187 | n/a | |
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188 | n/a | def __eq__(self, other): |
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189 | n/a | """Compare two Rats for equality.""" |
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190 | n/a | if isint(other): |
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191 | n/a | return self.__den == 1 and self.__num == other |
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192 | n/a | if isRat(other): |
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193 | n/a | return self.__num == other.__num and self.__den == other.__den |
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194 | n/a | if isnum(other): |
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195 | n/a | return float(self) == other |
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196 | n/a | return NotImplemented |
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197 | n/a | |
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198 | n/a | class RatTestCase(unittest.TestCase): |
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199 | n/a | """Unit tests for Rat class and its support utilities.""" |
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200 | n/a | |
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201 | n/a | def test_gcd(self): |
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202 | n/a | self.assertEqual(gcd(10, 12), 2) |
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203 | n/a | self.assertEqual(gcd(10, 15), 5) |
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204 | n/a | self.assertEqual(gcd(10, 11), 1) |
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205 | n/a | self.assertEqual(gcd(100, 15), 5) |
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206 | n/a | self.assertEqual(gcd(-10, 2), -2) |
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207 | n/a | self.assertEqual(gcd(10, -2), 2) |
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208 | n/a | self.assertEqual(gcd(-10, -2), -2) |
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209 | n/a | for i in range(1, 20): |
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210 | n/a | for j in range(1, 20): |
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211 | n/a | self.assertTrue(gcd(i, j) > 0) |
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212 | n/a | self.assertTrue(gcd(-i, j) < 0) |
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213 | n/a | self.assertTrue(gcd(i, -j) > 0) |
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214 | n/a | self.assertTrue(gcd(-i, -j) < 0) |
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215 | n/a | |
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216 | n/a | def test_constructor(self): |
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217 | n/a | a = Rat(10, 15) |
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218 | n/a | self.assertEqual(a.num, 2) |
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219 | n/a | self.assertEqual(a.den, 3) |
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220 | n/a | a = Rat(10, -15) |
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221 | n/a | self.assertEqual(a.num, -2) |
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222 | n/a | self.assertEqual(a.den, 3) |
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223 | n/a | a = Rat(-10, 15) |
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224 | n/a | self.assertEqual(a.num, -2) |
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225 | n/a | self.assertEqual(a.den, 3) |
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226 | n/a | a = Rat(-10, -15) |
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227 | n/a | self.assertEqual(a.num, 2) |
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228 | n/a | self.assertEqual(a.den, 3) |
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229 | n/a | a = Rat(7) |
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230 | n/a | self.assertEqual(a.num, 7) |
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231 | n/a | self.assertEqual(a.den, 1) |
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232 | n/a | try: |
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233 | n/a | a = Rat(1, 0) |
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234 | n/a | except ZeroDivisionError: |
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235 | n/a | pass |
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236 | n/a | else: |
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237 | n/a | self.fail("Rat(1, 0) didn't raise ZeroDivisionError") |
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238 | n/a | for bad in "0", 0.0, 0j, (), [], {}, None, Rat, unittest: |
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239 | n/a | try: |
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240 | n/a | a = Rat(bad) |
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241 | n/a | except TypeError: |
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242 | n/a | pass |
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243 | n/a | else: |
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244 | n/a | self.fail("Rat(%r) didn't raise TypeError" % bad) |
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245 | n/a | try: |
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246 | n/a | a = Rat(1, bad) |
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247 | n/a | except TypeError: |
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248 | n/a | pass |
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249 | n/a | else: |
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250 | n/a | self.fail("Rat(1, %r) didn't raise TypeError" % bad) |
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251 | n/a | |
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252 | n/a | def test_add(self): |
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253 | n/a | self.assertEqual(Rat(2, 3) + Rat(1, 3), 1) |
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254 | n/a | self.assertEqual(Rat(2, 3) + 1, Rat(5, 3)) |
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255 | n/a | self.assertEqual(1 + Rat(2, 3), Rat(5, 3)) |
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256 | n/a | self.assertEqual(1.0 + Rat(1, 2), 1.5) |
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257 | n/a | self.assertEqual(Rat(1, 2) + 1.0, 1.5) |
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258 | n/a | |
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259 | n/a | def test_sub(self): |
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260 | n/a | self.assertEqual(Rat(7, 2) - Rat(7, 5), Rat(21, 10)) |
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261 | n/a | self.assertEqual(Rat(7, 5) - 1, Rat(2, 5)) |
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262 | n/a | self.assertEqual(1 - Rat(3, 5), Rat(2, 5)) |
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263 | n/a | self.assertEqual(Rat(3, 2) - 1.0, 0.5) |
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264 | n/a | self.assertEqual(1.0 - Rat(1, 2), 0.5) |
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265 | n/a | |
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266 | n/a | def test_mul(self): |
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267 | n/a | self.assertEqual(Rat(2, 3) * Rat(5, 7), Rat(10, 21)) |
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268 | n/a | self.assertEqual(Rat(10, 3) * 3, 10) |
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269 | n/a | self.assertEqual(3 * Rat(10, 3), 10) |
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270 | n/a | self.assertEqual(Rat(10, 5) * 0.5, 1.0) |
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271 | n/a | self.assertEqual(0.5 * Rat(10, 5), 1.0) |
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272 | n/a | |
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273 | n/a | def test_div(self): |
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274 | n/a | self.assertEqual(Rat(10, 3) / Rat(5, 7), Rat(14, 3)) |
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275 | n/a | self.assertEqual(Rat(10, 3) / 3, Rat(10, 9)) |
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276 | n/a | self.assertEqual(2 / Rat(5), Rat(2, 5)) |
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277 | n/a | self.assertEqual(3.0 * Rat(1, 2), 1.5) |
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278 | n/a | self.assertEqual(Rat(1, 2) * 3.0, 1.5) |
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279 | n/a | |
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280 | n/a | def test_floordiv(self): |
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281 | n/a | self.assertEqual(Rat(10) // Rat(4), 2) |
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282 | n/a | self.assertEqual(Rat(10, 3) // Rat(4, 3), 2) |
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283 | n/a | self.assertEqual(Rat(10) // 4, 2) |
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284 | n/a | self.assertEqual(10 // Rat(4), 2) |
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285 | n/a | |
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286 | n/a | def test_eq(self): |
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287 | n/a | self.assertEqual(Rat(10), Rat(20, 2)) |
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288 | n/a | self.assertEqual(Rat(10), 10) |
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289 | n/a | self.assertEqual(10, Rat(10)) |
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290 | n/a | self.assertEqual(Rat(10), 10.0) |
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291 | n/a | self.assertEqual(10.0, Rat(10)) |
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292 | n/a | |
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293 | n/a | def test_true_div(self): |
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294 | n/a | self.assertEqual(Rat(10, 3) / Rat(5, 7), Rat(14, 3)) |
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295 | n/a | self.assertEqual(Rat(10, 3) / 3, Rat(10, 9)) |
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296 | n/a | self.assertEqual(2 / Rat(5), Rat(2, 5)) |
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297 | n/a | self.assertEqual(3.0 * Rat(1, 2), 1.5) |
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298 | n/a | self.assertEqual(Rat(1, 2) * 3.0, 1.5) |
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299 | n/a | self.assertEqual(eval('1/2'), 0.5) |
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300 | n/a | |
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301 | n/a | # XXX Ran out of steam; TO DO: divmod, div, future division |
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302 | n/a | |
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303 | n/a | |
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304 | n/a | class OperationLogger: |
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305 | n/a | """Base class for classes with operation logging.""" |
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306 | n/a | def __init__(self, logger): |
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307 | n/a | self.logger = logger |
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308 | n/a | def log_operation(self, *args): |
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309 | n/a | self.logger(*args) |
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310 | n/a | |
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311 | n/a | def op_sequence(op, *classes): |
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312 | n/a | """Return the sequence of operations that results from applying |
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313 | n/a | the operation `op` to instances of the given classes.""" |
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314 | n/a | log = [] |
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315 | n/a | instances = [] |
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316 | n/a | for c in classes: |
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317 | n/a | instances.append(c(log.append)) |
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318 | n/a | |
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319 | n/a | try: |
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320 | n/a | op(*instances) |
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321 | n/a | except TypeError: |
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322 | n/a | pass |
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323 | n/a | return log |
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324 | n/a | |
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325 | n/a | class A(OperationLogger): |
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326 | n/a | def __eq__(self, other): |
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327 | n/a | self.log_operation('A.__eq__') |
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328 | n/a | return NotImplemented |
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329 | n/a | def __le__(self, other): |
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330 | n/a | self.log_operation('A.__le__') |
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331 | n/a | return NotImplemented |
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332 | n/a | def __ge__(self, other): |
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333 | n/a | self.log_operation('A.__ge__') |
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334 | n/a | return NotImplemented |
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335 | n/a | |
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336 | n/a | class B(OperationLogger, metaclass=ABCMeta): |
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337 | n/a | def __eq__(self, other): |
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338 | n/a | self.log_operation('B.__eq__') |
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339 | n/a | return NotImplemented |
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340 | n/a | def __le__(self, other): |
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341 | n/a | self.log_operation('B.__le__') |
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342 | n/a | return NotImplemented |
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343 | n/a | def __ge__(self, other): |
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344 | n/a | self.log_operation('B.__ge__') |
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345 | n/a | return NotImplemented |
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346 | n/a | |
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347 | n/a | class C(B): |
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348 | n/a | def __eq__(self, other): |
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349 | n/a | self.log_operation('C.__eq__') |
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350 | n/a | return NotImplemented |
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351 | n/a | def __le__(self, other): |
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352 | n/a | self.log_operation('C.__le__') |
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353 | n/a | return NotImplemented |
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354 | n/a | def __ge__(self, other): |
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355 | n/a | self.log_operation('C.__ge__') |
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356 | n/a | return NotImplemented |
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357 | n/a | |
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358 | n/a | class V(OperationLogger): |
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359 | n/a | """Virtual subclass of B""" |
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360 | n/a | def __eq__(self, other): |
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361 | n/a | self.log_operation('V.__eq__') |
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362 | n/a | return NotImplemented |
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363 | n/a | def __le__(self, other): |
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364 | n/a | self.log_operation('V.__le__') |
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365 | n/a | return NotImplemented |
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366 | n/a | def __ge__(self, other): |
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367 | n/a | self.log_operation('V.__ge__') |
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368 | n/a | return NotImplemented |
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369 | n/a | B.register(V) |
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370 | n/a | |
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371 | n/a | |
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372 | n/a | class OperationOrderTests(unittest.TestCase): |
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373 | n/a | def test_comparison_orders(self): |
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374 | n/a | self.assertEqual(op_sequence(eq, A, A), ['A.__eq__', 'A.__eq__']) |
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375 | n/a | self.assertEqual(op_sequence(eq, A, B), ['A.__eq__', 'B.__eq__']) |
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376 | n/a | self.assertEqual(op_sequence(eq, B, A), ['B.__eq__', 'A.__eq__']) |
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377 | n/a | # C is a subclass of B, so C.__eq__ is called first |
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378 | n/a | self.assertEqual(op_sequence(eq, B, C), ['C.__eq__', 'B.__eq__']) |
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379 | n/a | self.assertEqual(op_sequence(eq, C, B), ['C.__eq__', 'B.__eq__']) |
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380 | n/a | |
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381 | n/a | self.assertEqual(op_sequence(le, A, A), ['A.__le__', 'A.__ge__']) |
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382 | n/a | self.assertEqual(op_sequence(le, A, B), ['A.__le__', 'B.__ge__']) |
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383 | n/a | self.assertEqual(op_sequence(le, B, A), ['B.__le__', 'A.__ge__']) |
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384 | n/a | self.assertEqual(op_sequence(le, B, C), ['C.__ge__', 'B.__le__']) |
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385 | n/a | self.assertEqual(op_sequence(le, C, B), ['C.__le__', 'B.__ge__']) |
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386 | n/a | |
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387 | n/a | self.assertTrue(issubclass(V, B)) |
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388 | n/a | self.assertEqual(op_sequence(eq, B, V), ['B.__eq__', 'V.__eq__']) |
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389 | n/a | self.assertEqual(op_sequence(le, B, V), ['B.__le__', 'V.__ge__']) |
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390 | n/a | |
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391 | n/a | class SupEq(object): |
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392 | n/a | """Class that can test equality""" |
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393 | n/a | def __eq__(self, other): |
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394 | n/a | return True |
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395 | n/a | |
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396 | n/a | class S(SupEq): |
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397 | n/a | """Subclass of SupEq that should fail""" |
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398 | n/a | __eq__ = None |
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399 | n/a | |
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400 | n/a | class F(object): |
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401 | n/a | """Independent class that should fall back""" |
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402 | n/a | |
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403 | n/a | class X(object): |
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404 | n/a | """Independent class that should fail""" |
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405 | n/a | __eq__ = None |
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406 | n/a | |
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407 | n/a | class SN(SupEq): |
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408 | n/a | """Subclass of SupEq that can test equality, but not non-equality""" |
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409 | n/a | __ne__ = None |
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410 | n/a | |
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411 | n/a | class XN: |
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412 | n/a | """Independent class that can test equality, but not non-equality""" |
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413 | n/a | def __eq__(self, other): |
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414 | n/a | return True |
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415 | n/a | __ne__ = None |
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416 | n/a | |
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417 | n/a | class FallbackBlockingTests(unittest.TestCase): |
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418 | n/a | """Unit tests for None method blocking""" |
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419 | n/a | |
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420 | n/a | def test_fallback_rmethod_blocking(self): |
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421 | n/a | e, f, s, x = SupEq(), F(), S(), X() |
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422 | n/a | self.assertEqual(e, e) |
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423 | n/a | self.assertEqual(e, f) |
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424 | n/a | self.assertEqual(f, e) |
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425 | n/a | # left operand is checked first |
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426 | n/a | self.assertEqual(e, x) |
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427 | n/a | self.assertRaises(TypeError, eq, x, e) |
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428 | n/a | # S is a subclass, so it's always checked first |
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429 | n/a | self.assertRaises(TypeError, eq, e, s) |
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430 | n/a | self.assertRaises(TypeError, eq, s, e) |
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431 | n/a | |
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432 | n/a | def test_fallback_ne_blocking(self): |
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433 | n/a | e, sn, xn = SupEq(), SN(), XN() |
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434 | n/a | self.assertFalse(e != e) |
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435 | n/a | self.assertRaises(TypeError, ne, e, sn) |
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436 | n/a | self.assertRaises(TypeError, ne, sn, e) |
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437 | n/a | self.assertFalse(e != xn) |
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438 | n/a | self.assertRaises(TypeError, ne, xn, e) |
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439 | n/a | |
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440 | n/a | if __name__ == "__main__": |
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441 | n/a | unittest.main() |
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