annotate Lib/test/test_random.py @ 78069:a8aa77458e12 3.2

Add c_size_t and c_ssize_t to the ctypes summary table.
author Antoine Pitrou <solipsis@pitrou.net>
date Thu, 12 Jul 2012 20:31:50 +0200
parents f4f56efa2870
children 41e97652a9f9 62d9f1285f51
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1 #!/usr/bin/env python3
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2
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3 import unittest
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4 import random
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5 import time
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6 import pickle
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7 import warnings
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8 from math import log, exp, pi, fsum, sin
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9 from test import support
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10
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11 class TestBasicOps(unittest.TestCase):
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12 # Superclass with tests common to all generators.
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13 # Subclasses must arrange for self.gen to retrieve the Random instance
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14 # to be tested.
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15
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16 def randomlist(self, n):
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17 """Helper function to make a list of random numbers"""
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18 return [self.gen.random() for i in range(n)]
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19
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20 def test_autoseed(self):
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21 self.gen.seed()
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22 state1 = self.gen.getstate()
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23 time.sleep(0.1)
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24 self.gen.seed() # diffent seeds at different times
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25 state2 = self.gen.getstate()
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26 self.assertNotEqual(state1, state2)
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27
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28 def test_saverestore(self):
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29 N = 1000
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30 self.gen.seed()
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31 state = self.gen.getstate()
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32 randseq = self.randomlist(N)
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33 self.gen.setstate(state) # should regenerate the same sequence
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34 self.assertEqual(randseq, self.randomlist(N))
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35
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36 def test_seedargs(self):
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37 for arg in [None, 0, 0, 1, 1, -1, -1, 10**20, -(10**20),
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38 3.14, 1+2j, 'a', tuple('abc')]:
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39 self.gen.seed(arg)
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40 for arg in [list(range(3)), dict(one=1)]:
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41 self.assertRaises(TypeError, self.gen.seed, arg)
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42 self.assertRaises(TypeError, self.gen.seed, 1, 2, 3, 4)
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43 self.assertRaises(TypeError, type(self.gen), [])
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44
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45 def test_choice(self):
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46 choice = self.gen.choice
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47 with self.assertRaises(IndexError):
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48 choice([])
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49 self.assertEqual(choice([50]), 50)
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50 self.assertIn(choice([25, 75]), [25, 75])
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51
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52 def test_sample(self):
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53 # For the entire allowable range of 0 <= k <= N, validate that
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54 # the sample is of the correct length and contains only unique items
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55 N = 100
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56 population = range(N)
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57 for k in range(N+1):
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58 s = self.gen.sample(population, k)
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59 self.assertEqual(len(s), k)
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60 uniq = set(s)
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61 self.assertEqual(len(uniq), k)
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62 self.assertTrue(uniq <= set(population))
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63 self.assertEqual(self.gen.sample([], 0), []) # test edge case N==k==0
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64
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65 def test_sample_distribution(self):
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66 # For the entire allowable range of 0 <= k <= N, validate that
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67 # sample generates all possible permutations
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68 n = 5
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69 pop = range(n)
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70 trials = 10000 # large num prevents false negatives without slowing normal case
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71 def factorial(n):
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72 if n == 0:
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73 return 1
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74 return n * factorial(n - 1)
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75 for k in range(n):
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76 expected = factorial(n) // factorial(n-k)
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77 perms = {}
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78 for i in range(trials):
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79 perms[tuple(self.gen.sample(pop, k))] = None
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80 if len(perms) == expected:
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81 break
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82 else:
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83 self.fail()
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84
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85 def test_sample_inputs(self):
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86 # SF bug #801342 -- population can be any iterable defining __len__()
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87 self.gen.sample(set(range(20)), 2)
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88 self.gen.sample(range(20), 2)
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89 self.gen.sample(range(20), 2)
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90 self.gen.sample(str('abcdefghijklmnopqrst'), 2)
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91 self.gen.sample(tuple('abcdefghijklmnopqrst'), 2)
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92
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93 def test_sample_on_dicts(self):
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94 self.assertRaises(TypeError, self.gen.sample, dict.fromkeys('abcdef'), 2)
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95
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96 def test_gauss(self):
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97 # Ensure that the seed() method initializes all the hidden state. In
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98 # particular, through 2.2.1 it failed to reset a piece of state used
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99 # by (and only by) the .gauss() method.
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100
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101 for seed in 1, 12, 123, 1234, 12345, 123456, 654321:
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102 self.gen.seed(seed)
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103 x1 = self.gen.random()
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104 y1 = self.gen.gauss(0, 1)
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105
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106 self.gen.seed(seed)
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107 x2 = self.gen.random()
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108 y2 = self.gen.gauss(0, 1)
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109
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110 self.assertEqual(x1, x2)
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111 self.assertEqual(y1, y2)
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112
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113 def test_pickling(self):
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114 state = pickle.dumps(self.gen)
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115 origseq = [self.gen.random() for i in range(10)]
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116 newgen = pickle.loads(state)
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117 restoredseq = [newgen.random() for i in range(10)]
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118 self.assertEqual(origseq, restoredseq)
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119
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120 def test_bug_1727780(self):
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121 # verify that version-2-pickles can be loaded
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122 # fine, whether they are created on 32-bit or 64-bit
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123 # platforms, and that version-3-pickles load fine.
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124 files = [("randv2_32.pck", 780),
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125 ("randv2_64.pck", 866),
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126 ("randv3.pck", 343)]
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127 for file, value in files:
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128 f = open(support.findfile(file),"rb")
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129 r = pickle.load(f)
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130 f.close()
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131 self.assertEqual(int(r.random()*1000), value)
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132
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133 def test_bug_9025(self):
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134 # Had problem with an uneven distribution in int(n*random())
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135 # Verify the fix by checking that distributions fall within expectations.
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136 n = 100000
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137 randrange = self.gen.randrange
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138 k = sum(randrange(6755399441055744) % 3 == 2 for i in range(n))
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139 self.assertTrue(0.30 < k/n < .37, (k/n))
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140
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141 class SystemRandom_TestBasicOps(TestBasicOps):
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142 gen = random.SystemRandom()
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143
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144 def test_autoseed(self):
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145 # Doesn't need to do anything except not fail
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146 self.gen.seed()
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147
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148 def test_saverestore(self):
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149 self.assertRaises(NotImplementedError, self.gen.getstate)
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150 self.assertRaises(NotImplementedError, self.gen.setstate, None)
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151
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152 def test_seedargs(self):
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153 # Doesn't need to do anything except not fail
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154 self.gen.seed(100)
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155
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156 def test_gauss(self):
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157 self.gen.gauss_next = None
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158 self.gen.seed(100)
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159 self.assertEqual(self.gen.gauss_next, None)
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160
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161 def test_pickling(self):
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162 self.assertRaises(NotImplementedError, pickle.dumps, self.gen)
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163
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164 def test_53_bits_per_float(self):
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165 # This should pass whenever a C double has 53 bit precision.
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166 span = 2 ** 53
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167 cum = 0
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168 for i in range(100):
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169 cum |= int(self.gen.random() * span)
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170 self.assertEqual(cum, span-1)
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171
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172 def test_bigrand(self):
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173 # The randrange routine should build-up the required number of bits
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174 # in stages so that all bit positions are active.
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175 span = 2 ** 500
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176 cum = 0
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177 for i in range(100):
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178 r = self.gen.randrange(span)
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179 self.assertTrue(0 <= r < span)
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180 cum |= r
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181 self.assertEqual(cum, span-1)
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182
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183 def test_bigrand_ranges(self):
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184 for i in [40,80, 160, 200, 211, 250, 375, 512, 550]:
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185 start = self.gen.randrange(2 ** i)
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186 stop = self.gen.randrange(2 ** (i-2))
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187 if stop <= start:
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188 return
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189 self.assertTrue(start <= self.gen.randrange(start, stop) < stop)
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190
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191 def test_rangelimits(self):
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192 for start, stop in [(-2,0), (-(2**60)-2,-(2**60)), (2**60,2**60+2)]:
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193 self.assertEqual(set(range(start,stop)),
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194 set([self.gen.randrange(start,stop) for i in range(100)]))
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195
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196 def test_genrandbits(self):
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197 # Verify ranges
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198 for k in range(1, 1000):
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199 self.assertTrue(0 <= self.gen.getrandbits(k) < 2**k)
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200
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201 # Verify all bits active
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202 getbits = self.gen.getrandbits
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203 for span in [1, 2, 3, 4, 31, 32, 32, 52, 53, 54, 119, 127, 128, 129]:
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204 cum = 0
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205 for i in range(100):
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206 cum |= getbits(span)
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207 self.assertEqual(cum, 2**span-1)
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208
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209 # Verify argument checking
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210 self.assertRaises(TypeError, self.gen.getrandbits)
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211 self.assertRaises(TypeError, self.gen.getrandbits, 1, 2)
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212 self.assertRaises(ValueError, self.gen.getrandbits, 0)
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213 self.assertRaises(ValueError, self.gen.getrandbits, -1)
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214 self.assertRaises(TypeError, self.gen.getrandbits, 10.1)
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215
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216 def test_randbelow_logic(self, _log=log, int=int):
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217 # check bitcount transition points: 2**i and 2**(i+1)-1
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218 # show that: k = int(1.001 + _log(n, 2))
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219 # is equal to or one greater than the number of bits in n
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220 for i in range(1, 1000):
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221 n = 1 << i # check an exact power of two
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222 numbits = i+1
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223 k = int(1.00001 + _log(n, 2))
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224 self.assertEqual(k, numbits)
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225 self.assertEqual(n, 2**(k-1))
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226
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227 n += n - 1 # check 1 below the next power of two
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228 k = int(1.00001 + _log(n, 2))
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229 self.assertIn(k, [numbits, numbits+1])
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230 self.assertTrue(2**k > n > 2**(k-2))
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231
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232 n -= n >> 15 # check a little farther below the next power of two
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233 k = int(1.00001 + _log(n, 2))
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234 self.assertEqual(k, numbits) # note the stronger assertion
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235 self.assertTrue(2**k > n > 2**(k-1)) # note the stronger assertion
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236
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237
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238 class MersenneTwister_TestBasicOps(TestBasicOps):
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239 gen = random.Random()
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240
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241 def test_guaranteed_stable(self):
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242 # These sequences are guaranteed to stay the same across versions of python
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243 self.gen.seed(3456147, version=1)
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244 self.assertEqual([self.gen.random().hex() for i in range(4)],
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245 ['0x1.ac362300d90d2p-1', '0x1.9d16f74365005p-1',
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246 '0x1.1ebb4352e4c4dp-1', '0x1.1a7422abf9c11p-1'])
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247 self.gen.seed("the quick brown fox", version=2)
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248 self.assertEqual([self.gen.random().hex() for i in range(4)],
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249 ['0x1.1239ddfb11b7cp-3', '0x1.b3cbb5c51b120p-4',
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250 '0x1.8c4f55116b60fp-1', '0x1.63eb525174a27p-1'])
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251
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252 def test_setstate_first_arg(self):
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253 self.assertRaises(ValueError, self.gen.setstate, (1, None, None))
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254
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255 def test_setstate_middle_arg(self):
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256 # Wrong type, s/b tuple
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257 self.assertRaises(TypeError, self.gen.setstate, (2, None, None))
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258 # Wrong length, s/b 625
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259 self.assertRaises(ValueError, self.gen.setstate, (2, (1,2,3), None))
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260 # Wrong type, s/b tuple of 625 ints
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261 self.assertRaises(TypeError, self.gen.setstate, (2, ('a',)*625, None))
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262 # Last element s/b an int also
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263 self.assertRaises(TypeError, self.gen.setstate, (2, (0,)*624+('a',), None))
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264
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265 def test_referenceImplementation(self):
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266 # Compare the python implementation with results from the original
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267 # code. Create 2000 53-bit precision random floats. Compare only
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268 # the last ten entries to show that the independent implementations
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269 # are tracking. Here is the main() function needed to create the
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270 # list of expected random numbers:
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271 # void main(void){
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272 # int i;
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273 # unsigned long init[4]={61731, 24903, 614, 42143}, length=4;
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274 # init_by_array(init, length);
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275 # for (i=0; i<2000; i++) {
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276 # printf("%.15f ", genrand_res53());
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277 # if (i%5==4) printf("\n");
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278 # }
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279 # }
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280 expected = [0.45839803073713259,
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281 0.86057815201978782,
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282 0.92848331726782152,
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283 0.35932681119782461,
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284 0.081823493762449573,
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285 0.14332226470169329,
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286 0.084297823823520024,
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287 0.53814864671831453,
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288 0.089215024911993401,
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289 0.78486196105372907]
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290
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291 self.gen.seed(61731 + (24903<<32) + (614<<64) + (42143<<96))
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292 actual = self.randomlist(2000)[-10:]
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293 for a, e in zip(actual, expected):
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294 self.assertAlmostEqual(a,e,places=14)
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295
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296 def test_strong_reference_implementation(self):
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297 # Like test_referenceImplementation, but checks for exact bit-level
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298 # equality. This should pass on any box where C double contains
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299 # at least 53 bits of precision (the underlying algorithm suffers
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300 # no rounding errors -- all results are exact).
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301 from math import ldexp
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302
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303 expected = [0x0eab3258d2231f,
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304 0x1b89db315277a5,
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305 0x1db622a5518016,
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306 0x0b7f9af0d575bf,
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307 0x029e4c4db82240,
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308 0x04961892f5d673,
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309 0x02b291598e4589,
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310 0x11388382c15694,
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311 0x02dad977c9e1fe,
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312 0x191d96d4d334c6]
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313 self.gen.seed(61731 + (24903<<32) + (614<<64) + (42143<<96))
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314 actual = self.randomlist(2000)[-10:]
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315 for a, e in zip(actual, expected):
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316 self.assertEqual(int(ldexp(a, 53)), e)
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317
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318 def test_long_seed(self):
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319 # This is most interesting to run in debug mode, just to make sure
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320 # nothing blows up. Under the covers, a dynamically resized array
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321 # is allocated, consuming space proportional to the number of bits
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322 # in the seed. Unfortunately, that's a quadratic-time algorithm,
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323 # so don't make this horribly big.
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324 seed = (1 << (10000 * 8)) - 1 # about 10K bytes
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325 self.gen.seed(seed)
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326
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327 def test_53_bits_per_float(self):
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328 # This should pass whenever a C double has 53 bit precision.
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329 span = 2 ** 53
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330 cum = 0
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331 for i in range(100):
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332 cum |= int(self.gen.random() * span)
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333 self.assertEqual(cum, span-1)
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334
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335 def test_bigrand(self):
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336 # The randrange routine should build-up the required number of bits
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337 # in stages so that all bit positions are active.
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338 span = 2 ** 500
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339 cum = 0
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340 for i in range(100):
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341 r = self.gen.randrange(span)
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342 self.assertTrue(0 <= r < span)
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343 cum |= r
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344 self.assertEqual(cum, span-1)
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345
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346 def test_bigrand_ranges(self):
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347 for i in [40,80, 160, 200, 211, 250, 375, 512, 550]:
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348 start = self.gen.randrange(2 ** i)
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349 stop = self.gen.randrange(2 ** (i-2))
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350 if stop <= start:
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351 return
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352 self.assertTrue(start <= self.gen.randrange(start, stop) < stop)
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353
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354 def test_rangelimits(self):
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355 for start, stop in [(-2,0), (-(2**60)-2,-(2**60)), (2**60,2**60+2)]:
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356 self.assertEqual(set(range(start,stop)),
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357 set([self.gen.randrange(start,stop) for i in range(100)]))
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358
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359 def test_genrandbits(self):
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360 # Verify cross-platform repeatability
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361 self.gen.seed(1234567)
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362 self.assertEqual(self.gen.getrandbits(100),
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363 97904845777343510404718956115)
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364 # Verify ranges
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365 for k in range(1, 1000):
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366 self.assertTrue(0 <= self.gen.getrandbits(k) < 2**k)
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367
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368 # Verify all bits active
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369 getbits = self.gen.getrandbits
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370 for span in [1, 2, 3, 4, 31, 32, 32, 52, 53, 54, 119, 127, 128, 129]:
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371 cum = 0
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372 for i in range(100):
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373 cum |= getbits(span)
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374 self.assertEqual(cum, 2**span-1)
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375
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376 # Verify argument checking
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377 self.assertRaises(TypeError, self.gen.getrandbits)
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378 self.assertRaises(TypeError, self.gen.getrandbits, 'a')
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379 self.assertRaises(TypeError, self.gen.getrandbits, 1, 2)
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380 self.assertRaises(ValueError, self.gen.getrandbits, 0)
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parents: 30929
diff changeset
381 self.assertRaises(ValueError, self.gen.getrandbits, -1)
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parents: 30929
diff changeset
382
30649
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parents: 30346
diff changeset
383 def test_randbelow_logic(self, _log=log, int=int):
8841d34a2c37 SF bug #812202: randint is always even
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parents: 30346
diff changeset
384 # check bitcount transition points: 2**i and 2**(i+1)-1
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parents: 30346
diff changeset
385 # show that: k = int(1.001 + _log(n, 2))
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parents: 30346
diff changeset
386 # is equal to or one greater than the number of bits in n
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parents: 40775
diff changeset
387 for i in range(1, 1000):
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parents: 40582
diff changeset
388 n = 1 << i # check an exact power of two
30649
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parents: 30346
diff changeset
389 numbits = i+1
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parents: 30346
diff changeset
390 k = int(1.00001 + _log(n, 2))
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parents: 30346
diff changeset
391 self.assertEqual(k, numbits)
42188
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parents: 41642
diff changeset
392 self.assertEqual(n, 2**(k-1))
30649
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parents: 30346
diff changeset
393
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parents: 30346
diff changeset
394 n += n - 1 # check 1 below the next power of two
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Raymond Hettinger <python@rcn.com>
parents: 30346
diff changeset
395 k = int(1.00001 + _log(n, 2))
58415
f6a626f34840 use assert[Not]In where appropriate
Benjamin Peterson <benjamin@python.org>
parents: 55593
diff changeset
396 self.assertIn(k, [numbits, numbits+1])
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parents: 51738
diff changeset
397 self.assertTrue(2**k > n > 2**(k-2))
30649
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parents: 30346
diff changeset
398
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parents: 30346
diff changeset
399 n -= n >> 15 # check a little farther below the next power of two
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parents: 30346
diff changeset
400 k = int(1.00001 + _log(n, 2))
8841d34a2c37 SF bug #812202: randint is always even
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parents: 30346
diff changeset
401 self.assertEqual(k, numbits) # note the stronger assertion
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parents: 51738
diff changeset
402 self.assertTrue(2**k > n > 2**(k-1)) # note the stronger assertion
30649
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parents: 30346
diff changeset
403
40582
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Thomas Wouters <thomas@python.org>
parents: 39627
diff changeset
404 def test_randrange_bug_1590891(self):
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Thomas Wouters <thomas@python.org>
parents: 39627
diff changeset
405 start = 1000000000000
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Thomas Wouters <thomas@python.org>
parents: 39627
diff changeset
406 stop = -100000000000000000000
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Thomas Wouters <thomas@python.org>
parents: 39627
diff changeset
407 step = -200
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parents: 39627
diff changeset
408 x = self.gen.randrange(start, stop, step)
55593
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Georg Brandl <georg@python.org>
parents: 51738
diff changeset
409 self.assertTrue(stop < x <= start)
40582
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Thomas Wouters <thomas@python.org>
parents: 39627
diff changeset
410 self.assertEqual((x+stop)%step, 0)
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Thomas Wouters <thomas@python.org>
parents: 39627
diff changeset
411
51738
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
412 def gamma(z, sqrt2pi=(2.0*pi)**0.5):
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
413 # Reflection to right half of complex plane
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
414 if z < 0.5:
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
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parents: 48606
diff changeset
415 return pi / sin(pi*z) / gamma(1.0-z)
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
416 # Lanczos approximation with g=7
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
417 az = z + (7.0 - 0.5)
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
418 return az ** (z-0.5) / exp(az) * sqrt2pi * fsum([
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
419 0.9999999999995183,
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
420 676.5203681218835 / z,
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
421 -1259.139216722289 / (z+1.0),
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
422 771.3234287757674 / (z+2.0),
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
423 -176.6150291498386 / (z+3.0),
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
424 12.50734324009056 / (z+4.0),
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
425 -0.1385710331296526 / (z+5.0),
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
426 0.9934937113930748e-05 / (z+6.0),
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
427 0.1659470187408462e-06 / (z+7.0),
78e311f277a7 Inline coefficients in gamma(). Add reflection formula. Add comments.
Raymond Hettinger <python@rcn.com>
parents: 48606
diff changeset
428 ])
27094
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
429
27092
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
430 class TestDistributions(unittest.TestCase):
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
431 def test_zeroinputs(self):
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
432 # Verify that distributions can handle a series of zero inputs'
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
433 g = random.Random()
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Guido van Rossum <guido@python.org>
parents: 40775
diff changeset
434 x = [g.random() for i in range(50)] + [0.0]*5
27092
7dab27731be8 Add a test case.
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parents: 27081
diff changeset
435 g.random = x[:].pop; g.uniform(1,10)
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
436 g.random = x[:].pop; g.paretovariate(1.0)
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
437 g.random = x[:].pop; g.expovariate(1.0)
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
438 g.random = x[:].pop; g.weibullvariate(1.0, 1.0)
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
439 g.random = x[:].pop; g.normalvariate(0.0, 1.0)
7dab27731be8 Add a test case.
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parents: 27081
diff changeset
440 g.random = x[:].pop; g.gauss(0.0, 1.0)
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
441 g.random = x[:].pop; g.lognormvariate(0.0, 1.0)
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
442 g.random = x[:].pop; g.vonmisesvariate(0.0, 1.0)
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
443 g.random = x[:].pop; g.gammavariate(0.01, 1.0)
7dab27731be8 Add a test case.
Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
444 g.random = x[:].pop; g.gammavariate(1.0, 1.0)
7dab27731be8 Add a test case.
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parents: 27081
diff changeset
445 g.random = x[:].pop; g.gammavariate(200.0, 1.0)
7dab27731be8 Add a test case.
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parents: 27081
diff changeset
446 g.random = x[:].pop; g.betavariate(3.0, 3.0)
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Christian Heimes <christian@cheimes.de>
parents: 44665
diff changeset
447 g.random = x[:].pop; g.triangular(0.0, 1.0, 1.0/3.0)
27092
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parents: 27081
diff changeset
448
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parents: 27092
diff changeset
449 def test_avg_std(self):
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parents: 27092
diff changeset
450 # Use integration to test distribution average and standard deviation.
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parents: 27092
diff changeset
451 # Only works for distributions which do not consume variates in pairs
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parents: 27092
diff changeset
452 g = random.Random()
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
453 N = 5000
41642
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Guido van Rossum <guido@python.org>
parents: 40775
diff changeset
454 x = [i/float(N) for i in range(1,N)]
27094
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Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
455 for variate, args, mu, sigmasqrd in [
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
456 (g.uniform, (1.0,10.0), (10.0+1.0)/2, (10.0-1.0)**2/12),
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Christian Heimes <christian@cheimes.de>
parents: 44665
diff changeset
457 (g.triangular, (0.0, 1.0, 1.0/3.0), 4.0/9.0, 7.0/9.0/18.0),
27094
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Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
458 (g.expovariate, (1.5,), 1/1.5, 1/1.5**2),
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Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
459 (g.paretovariate, (5.0,), 5.0/(5.0-1),
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
460 5.0/((5.0-1)**2*(5.0-2))),
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
461 (g.weibullvariate, (1.0, 3.0), gamma(1+1/3.0),
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
462 gamma(1+2/3.0)-gamma(1+1/3.0)**2) ]:
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Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
463 g.random = x[:].pop
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Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
464 y = []
41642
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Guido van Rossum <guido@python.org>
parents: 40775
diff changeset
465 for i in range(len(x)):
27094
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Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
466 try:
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
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parents: 27092
diff changeset
467 y.append(variate(*args))
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Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
468 except IndexError:
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
469 pass
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
470 s1 = s2 = 0
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
471 for e in y:
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
472 s1 += e
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
473 s2 += (e - mu) ** 2
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Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
474 N = len(y)
43285
755fa5187d1b Forgot to run the tests after making the places and msg argument keyword-only.
Jeffrey Yasskin <jyasskin@gmail.com>
parents: 42629
diff changeset
475 self.assertAlmostEqual(s1/N, mu, places=2)
755fa5187d1b Forgot to run the tests after making the places and msg argument keyword-only.
Jeffrey Yasskin <jyasskin@gmail.com>
parents: 42629
diff changeset
476 self.assertAlmostEqual(s2/(N-1), sigmasqrd, places=2)
27094
e841c873a937 Move the statistical tests for four distributions into the unittest suite.
Raymond Hettinger <python@rcn.com>
parents: 27092
diff changeset
477
26829
f64c96922708 SF patch 658251: Install a C implementation of the Mersenne Twister as the
Raymond Hettinger <python@rcn.com>
parents: 24364
diff changeset
478 class TestModule(unittest.TestCase):
f64c96922708 SF patch 658251: Install a C implementation of the Mersenne Twister as the
Raymond Hettinger <python@rcn.com>
parents: 24364
diff changeset
479 def testMagicConstants(self):
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Raymond Hettinger <python@rcn.com>
parents: 24364
diff changeset
480 self.assertAlmostEqual(random.NV_MAGICCONST, 1.71552776992141)
f64c96922708 SF patch 658251: Install a C implementation of the Mersenne Twister as the
Raymond Hettinger <python@rcn.com>
parents: 24364
diff changeset
481 self.assertAlmostEqual(random.TWOPI, 6.28318530718)
f64c96922708 SF patch 658251: Install a C implementation of the Mersenne Twister as the
Raymond Hettinger <python@rcn.com>
parents: 24364
diff changeset
482 self.assertAlmostEqual(random.LOG4, 1.38629436111989)
f64c96922708 SF patch 658251: Install a C implementation of the Mersenne Twister as the
Raymond Hettinger <python@rcn.com>
parents: 24364
diff changeset
483 self.assertAlmostEqual(random.SG_MAGICCONST, 2.50407739677627)
f64c96922708 SF patch 658251: Install a C implementation of the Mersenne Twister as the
Raymond Hettinger <python@rcn.com>
parents: 24364
diff changeset
484
f64c96922708 SF patch 658251: Install a C implementation of the Mersenne Twister as the
Raymond Hettinger <python@rcn.com>
parents: 24364
diff changeset
485 def test__all__(self):
f64c96922708 SF patch 658251: Install a C implementation of the Mersenne Twister as the
Raymond Hettinger <python@rcn.com>
parents: 24364
diff changeset
486 # tests validity but not completeness of the __all__ list
55593
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Georg Brandl <georg@python.org>
parents: 51738
diff changeset
487 self.assertTrue(set(random.__all__) <= set(dir(random)))
26829
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Raymond Hettinger <python@rcn.com>
parents: 24364
diff changeset
488
40737
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Thomas Wouters <thomas@python.org>
parents: 40644
diff changeset
489 def test_random_subclass_with_kwargs(self):
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Thomas Wouters <thomas@python.org>
parents: 40644
diff changeset
490 # SF bug #1486663 -- this used to erroneously raise a TypeError
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Thomas Wouters <thomas@python.org>
parents: 40644
diff changeset
491 class Subclass(random.Random):
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Thomas Wouters <thomas@python.org>
parents: 40644
diff changeset
492 def __init__(self, newarg=None):
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Thomas Wouters <thomas@python.org>
parents: 40644
diff changeset
493 random.Random.__init__(self)
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Thomas Wouters <thomas@python.org>
parents: 40644
diff changeset
494 Subclass(newarg=1)
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Thomas Wouters <thomas@python.org>
parents: 40644
diff changeset
495
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Thomas Wouters <thomas@python.org>
parents: 40644
diff changeset
496
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Raymond Hettinger <python@rcn.com>
parents: 27279
diff changeset
497 def test_main(verbose=None):
44662
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Raymond Hettinger <python@rcn.com>
parents: 44129
diff changeset
498 testclasses = [MersenneTwister_TestBasicOps,
27092
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Raymond Hettinger <python@rcn.com>
parents: 27081
diff changeset
499 TestDistributions,
33406
483c0b4b6332 SF bug #1022010: Import random fails
Raymond Hettinger <python@rcn.com>
parents: 33329
diff changeset
500 TestModule]
483c0b4b6332 SF bug #1022010: Import random fails
Raymond Hettinger <python@rcn.com>
parents: 33329
diff changeset
501
33409
8e23bd3d5b1a Fulfill Martin's request to use try/except rather than a "look before
Raymond Hettinger <python@rcn.com>
parents: 33406
diff changeset
502 try:
33481
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Raymond Hettinger <python@rcn.com>
parents: 33409
diff changeset
503 random.SystemRandom().random()
33409
8e23bd3d5b1a Fulfill Martin's request to use try/except rather than a "look before
Raymond Hettinger <python@rcn.com>
parents: 33406
diff changeset
504 except NotImplementedError:
8e23bd3d5b1a Fulfill Martin's request to use try/except rather than a "look before
Raymond Hettinger <python@rcn.com>
parents: 33406
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505 pass
8e23bd3d5b1a Fulfill Martin's request to use try/except rather than a "look before
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506 else:
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eacdc29606d8 SF #1027105: HardwareRandom should be renamed OSRandom
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507 testclasses.append(SystemRandom_TestBasicOps)
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508
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509 support.run_unittest(*testclasses)
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510
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511 # verify reference counting
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512 import sys
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513 if verbose and hasattr(sys, "gettotalrefcount"):
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514 counts = [None] * 5
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a6eb6acfe04a Merged revisions 55007-55179 via svnmerge from
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515 for i in range(len(counts)):
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516 support.run_unittest(*testclasses)
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517 counts[i] = sys.gettotalrefcount()
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518 print(counts)
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parents: 27279
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519
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parents: 24364
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520 if __name__ == "__main__":
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521 test_main(verbose=True)