Mercurial > cpython-lru_cache-weakref
annotate Lib/test/test_long.py @ 64166:d0e9febfa00a 3.1
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r84172 | martin.v.loewis | 2010-08-18 18:12:23 +0200 (Mi, 18 Aug 2010) | 2 lines
Restore GIL in nis_cat in case of error.
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| author | Martin v. Löwis <martin@v.loewis.de> |
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| date | Thu, 19 Aug 2010 09:03:03 +0000 |
| parents | 8180abbd07cb |
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1 import unittest |
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2 from test import support |
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3 import sys |
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4 |
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5 import random |
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6 import math |
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7 |
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8 # Used for lazy formatting of failure messages |
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9 class Frm(object): |
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10 def __init__(self, format, *args): |
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11 self.format = format |
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12 self.args = args |
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13 |
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14 def __str__(self): |
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15 return self.format % self.args |
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17 # SHIFT should match the value in longintrepr.h for best testing. |
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18 SHIFT = sys.int_info.bits_per_digit |
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19 BASE = 2 ** SHIFT |
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20 MASK = BASE - 1 |
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21 KARATSUBA_CUTOFF = 70 # from longobject.c |
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23 # Max number of base BASE digits to use in test cases. Doubling |
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24 # this will more than double the runtime. |
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25 MAXDIGITS = 15 |
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27 # build some special values |
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28 special = [0, 1, 2, BASE, BASE >> 1, 0x5555555555555555, 0xaaaaaaaaaaaaaaaa] |
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29 # some solid strings of one bits |
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30 p2 = 4 # 0 and 1 already added |
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31 for i in range(2*SHIFT): |
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32 special.append(p2 - 1) |
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33 p2 = p2 << 1 |
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34 del p2 |
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35 # add complements & negations |
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36 special += [~x for x in special] + [-x for x in special] |
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57 |
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58 |
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59 class LongTest(unittest.TestCase): |
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60 |
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61 # Get quasi-random long consisting of ndigits digits (in base BASE). |
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62 # quasi == the most-significant digit will not be 0, and the number |
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63 # is constructed to contain long strings of 0 and 1 bits. These are |
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64 # more likely than random bits to provoke digit-boundary errors. |
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65 # The sign of the number is also random. |
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66 |
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67 def getran(self, ndigits): |
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68 self.assertTrue(ndigits > 0) |
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69 nbits_hi = ndigits * SHIFT |
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70 nbits_lo = nbits_hi - SHIFT + 1 |
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71 answer = 0 |
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72 nbits = 0 |
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73 r = int(random.random() * (SHIFT * 2)) | 1 # force 1 bits to start |
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74 while nbits < nbits_lo: |
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75 bits = (r >> 1) + 1 |
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76 bits = min(bits, nbits_hi - nbits) |
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77 self.assertTrue(1 <= bits <= SHIFT) |
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78 nbits = nbits + bits |
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79 answer = answer << bits |
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80 if r & 1: |
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81 answer = answer | ((1 << bits) - 1) |
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82 r = int(random.random() * (SHIFT * 2)) |
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83 self.assertTrue(nbits_lo <= nbits <= nbits_hi) |
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84 if random.random() < 0.5: |
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85 answer = -answer |
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86 return answer |
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87 |
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88 # Get random long consisting of ndigits random digits (relative to base |
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89 # BASE). The sign bit is also random. |
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90 |
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91 def getran2(ndigits): |
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92 answer = 0 |
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93 for i in range(ndigits): |
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94 answer = (answer << SHIFT) | random.randint(0, MASK) |
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95 if random.random() < 0.5: |
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96 answer = -answer |
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97 return answer |
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98 |
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99 def check_division(self, x, y): |
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100 eq = self.assertEqual |
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101 q, r = divmod(x, y) |
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102 q2, r2 = x//y, x%y |
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103 pab, pba = x*y, y*x |
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104 eq(pab, pba, Frm("multiplication does not commute for %r and %r", x, y)) |
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105 eq(q, q2, Frm("divmod returns different quotient than / for %r and %r", x, y)) |
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106 eq(r, r2, Frm("divmod returns different mod than %% for %r and %r", x, y)) |
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107 eq(x, q*y + r, Frm("x != q*y + r after divmod on x=%r, y=%r", x, y)) |
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108 if y > 0: |
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109 self.assertTrue(0 <= r < y, Frm("bad mod from divmod on %r and %r", x, y)) |
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110 else: |
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111 self.assertTrue(y < r <= 0, Frm("bad mod from divmod on %r and %r", x, y)) |
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112 |
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113 def test_division(self): |
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114 digits = list(range(1, MAXDIGITS+1)) + list(range(KARATSUBA_CUTOFF, |
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115 KARATSUBA_CUTOFF + 14)) |
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116 digits.append(KARATSUBA_CUTOFF * 3) |
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117 for lenx in digits: |
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118 x = self.getran(lenx) |
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119 for leny in digits: |
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120 y = self.getran(leny) or 1 |
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121 self.check_division(x, y) |
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122 |
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123 # specific numbers chosen to exercise corner cases of the |
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124 # current long division implementation |
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125 |
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126 # 30-bit cases involving a quotient digit estimate of BASE+1 |
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127 self.check_division(1231948412290879395966702881, |
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128 1147341367131428698) |
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129 self.check_division(815427756481275430342312021515587883, |
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130 707270836069027745) |
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131 self.check_division(627976073697012820849443363563599041, |
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132 643588798496057020) |
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133 self.check_division(1115141373653752303710932756325578065, |
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134 1038556335171453937726882627) |
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135 # 30-bit cases that require the post-subtraction correction step |
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136 self.check_division(922498905405436751940989320930368494, |
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137 949985870686786135626943396) |
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138 self.check_division(768235853328091167204009652174031844, |
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139 1091555541180371554426545266) |
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140 |
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141 # 15-bit cases involving a quotient digit estimate of BASE+1 |
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142 self.check_division(20172188947443, 615611397) |
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143 self.check_division(1020908530270155025, 950795710) |
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144 self.check_division(128589565723112408, 736393718) |
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145 self.check_division(609919780285761575, 18613274546784) |
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146 # 15-bit cases that require the post-subtraction correction step |
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147 self.check_division(710031681576388032, 26769404391308) |
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148 self.check_division(1933622614268221, 30212853348836) |
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149 |
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150 |
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151 |
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152 def test_karatsuba(self): |
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153 digits = list(range(1, 5)) + list(range(KARATSUBA_CUTOFF, |
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154 KARATSUBA_CUTOFF + 10)) |
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155 digits.extend([KARATSUBA_CUTOFF * 10, KARATSUBA_CUTOFF * 100]) |
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156 |
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157 bits = [digit * SHIFT for digit in digits] |
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158 |
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159 # Test products of long strings of 1 bits -- (2**x-1)*(2**y-1) == |
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160 # 2**(x+y) - 2**x - 2**y + 1, so the proper result is easy to check. |
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161 for abits in bits: |
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162 a = (1 << abits) - 1 |
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163 for bbits in bits: |
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164 if bbits < abits: |
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165 continue |
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166 b = (1 << bbits) - 1 |
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167 x = a * b |
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168 y = ((1 << (abits + bbits)) - |
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169 (1 << abits) - |
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170 (1 << bbits) + |
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171 1) |
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172 self.assertEqual(x, y, |
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173 Frm("bad result for a*b: a=%r, b=%r, x=%r, y=%r", a, b, x, y)) |
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174 |
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175 def check_bitop_identities_1(self, x): |
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176 eq = self.assertEqual |
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177 eq(x & 0, 0, Frm("x & 0 != 0 for x=%r", x)) |
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178 eq(x | 0, x, Frm("x | 0 != x for x=%r", x)) |
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179 eq(x ^ 0, x, Frm("x ^ 0 != x for x=%r", x)) |
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180 eq(x & -1, x, Frm("x & -1 != x for x=%r", x)) |
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181 eq(x | -1, -1, Frm("x | -1 != -1 for x=%r", x)) |
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182 eq(x ^ -1, ~x, Frm("x ^ -1 != ~x for x=%r", x)) |
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183 eq(x, ~~x, Frm("x != ~~x for x=%r", x)) |
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184 eq(x & x, x, Frm("x & x != x for x=%r", x)) |
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185 eq(x | x, x, Frm("x | x != x for x=%r", x)) |
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186 eq(x ^ x, 0, Frm("x ^ x != 0 for x=%r", x)) |
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187 eq(x & ~x, 0, Frm("x & ~x != 0 for x=%r", x)) |
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188 eq(x | ~x, -1, Frm("x | ~x != -1 for x=%r", x)) |
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189 eq(x ^ ~x, -1, Frm("x ^ ~x != -1 for x=%r", x)) |
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190 eq(-x, 1 + ~x, Frm("not -x == 1 + ~x for x=%r", x)) |
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191 eq(-x, ~(x-1), Frm("not -x == ~(x-1) forx =%r", x)) |
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192 for n in range(2*SHIFT): |
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193 p2 = 2 ** n |
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194 eq(x << n >> n, x, |
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195 Frm("x << n >> n != x for x=%r, n=%r", (x, n))) |
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196 eq(x // p2, x >> n, |
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197 Frm("x // p2 != x >> n for x=%r n=%r p2=%r", (x, n, p2))) |
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198 eq(x * p2, x << n, |
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199 Frm("x * p2 != x << n for x=%r n=%r p2=%r", (x, n, p2))) |
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200 eq(x & -p2, x >> n << n, |
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201 Frm("not x & -p2 == x >> n << n for x=%r n=%r p2=%r", (x, n, p2))) |
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202 eq(x & -p2, x & ~(p2 - 1), |
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203 Frm("not x & -p2 == x & ~(p2 - 1) for x=%r n=%r p2=%r", (x, n, p2))) |
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204 |
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205 def check_bitop_identities_2(self, x, y): |
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206 eq = self.assertEqual |
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207 eq(x & y, y & x, Frm("x & y != y & x for x=%r, y=%r", (x, y))) |
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208 eq(x | y, y | x, Frm("x | y != y | x for x=%r, y=%r", (x, y))) |
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209 eq(x ^ y, y ^ x, Frm("x ^ y != y ^ x for x=%r, y=%r", (x, y))) |
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210 eq(x ^ y ^ x, y, Frm("x ^ y ^ x != y for x=%r, y=%r", (x, y))) |
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211 eq(x & y, ~(~x | ~y), Frm("x & y != ~(~x | ~y) for x=%r, y=%r", (x, y))) |
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212 eq(x | y, ~(~x & ~y), Frm("x | y != ~(~x & ~y) for x=%r, y=%r", (x, y))) |
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213 eq(x ^ y, (x | y) & ~(x & y), |
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214 Frm("x ^ y != (x | y) & ~(x & y) for x=%r, y=%r", (x, y))) |
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215 eq(x ^ y, (x & ~y) | (~x & y), |
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216 Frm("x ^ y == (x & ~y) | (~x & y) for x=%r, y=%r", (x, y))) |
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217 eq(x ^ y, (x | y) & (~x | ~y), |
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218 Frm("x ^ y == (x | y) & (~x | ~y) for x=%r, y=%r", (x, y))) |
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219 |
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220 def check_bitop_identities_3(self, x, y, z): |
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221 eq = self.assertEqual |
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222 eq((x & y) & z, x & (y & z), |
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223 Frm("(x & y) & z != x & (y & z) for x=%r, y=%r, z=%r", (x, y, z))) |
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224 eq((x | y) | z, x | (y | z), |
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225 Frm("(x | y) | z != x | (y | z) for x=%r, y=%r, z=%r", (x, y, z))) |
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226 eq((x ^ y) ^ z, x ^ (y ^ z), |
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227 Frm("(x ^ y) ^ z != x ^ (y ^ z) for x=%r, y=%r, z=%r", (x, y, z))) |
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228 eq(x & (y | z), (x & y) | (x & z), |
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229 Frm("x & (y | z) != (x & y) | (x & z) for x=%r, y=%r, z=%r", (x, y, z))) |
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230 eq(x | (y & z), (x | y) & (x | z), |
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231 Frm("x | (y & z) != (x | y) & (x | z) for x=%r, y=%r, z=%r", (x, y, z))) |
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232 |
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233 def test_bitop_identities(self): |
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234 for x in special: |
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235 self.check_bitop_identities_1(x) |
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236 digits = range(1, MAXDIGITS+1) |
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237 for lenx in digits: |
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238 x = self.getran(lenx) |
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239 self.check_bitop_identities_1(x) |
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240 for leny in digits: |
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241 y = self.getran(leny) |
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242 self.check_bitop_identities_2(x, y) |
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243 self.check_bitop_identities_3(x, y, self.getran((lenx + leny)//2)) |
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244 |
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245 def slow_format(self, x, base): |
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246 digits = [] |
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247 sign = 0 |
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248 if x < 0: |
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249 sign, x = 1, -x |
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250 while x: |
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251 x, r = divmod(x, base) |
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252 digits.append(int(r)) |
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253 digits.reverse() |
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254 digits = digits or [0] |
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255 return '-'[:sign] + \ |
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256 {2: '0b', 8: '0o', 10: '', 16: '0x'}[base] + \ |
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257 "".join(map(lambda i: "0123456789abcdef"[i], digits)) |
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258 |
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259 def check_format_1(self, x): |
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260 for base, mapper in (8, oct), (10, repr), (16, hex): |
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261 got = mapper(x) |
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262 expected = self.slow_format(x, base) |
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263 msg = Frm("%s returned %r but expected %r for %r", |
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264 mapper.__name__, got, expected, x) |
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265 self.assertEqual(got, expected, msg) |
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266 self.assertEqual(int(got, 0), x, Frm('long("%s", 0) != %r', got, x)) |
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267 # str() has to be checked a little differently since there's no |
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268 # trailing "L" |
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269 got = str(x) |
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270 expected = self.slow_format(x, 10) |
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271 msg = Frm("%s returned %r but expected %r for %r", |
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272 mapper.__name__, got, expected, x) |
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273 self.assertEqual(got, expected, msg) |
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275 def test_format(self): |
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276 for x in special: |
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277 self.check_format_1(x) |
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278 for i in range(10): |
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279 for lenx in range(1, MAXDIGITS+1): |
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280 x = self.getran(lenx) |
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281 self.check_format_1(x) |
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283 def test_long(self): |
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284 self.assertEqual(int(314), 314) |
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285 self.assertEqual(int(3.14), 3) |
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286 self.assertEqual(int(314), 314) |
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287 # Check that conversion from float truncates towards zero |
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288 self.assertEqual(int(-3.14), -3) |
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289 self.assertEqual(int(3.9), 3) |
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290 self.assertEqual(int(-3.9), -3) |
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291 self.assertEqual(int(3.5), 3) |
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292 self.assertEqual(int(-3.5), -3) |
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293 self.assertEqual(int("-3"), -3) |
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294 # Different base: |
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295 self.assertEqual(int("10",16), 16) |
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296 # Check conversions from string (same test set as for int(), and then some) |
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297 LL = [ |
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298 ('1' + '0'*20, 10**20), |
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299 ('1' + '0'*100, 10**100) |
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301 L2 = L[:] |
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302 for s, v in L2 + LL: |
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303 for sign in "", "+", "-": |
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304 for prefix in "", " ", "\t", " \t\t ": |
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305 ss = prefix + sign + s |
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306 vv = v |
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307 if sign == "-" and v is not ValueError: |
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308 vv = -v |
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309 try: |
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310 self.assertEqual(int(ss), int(vv)) |
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311 except ValueError: |
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312 pass |
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314 self.assertRaises(ValueError, int, '123\0') |
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315 self.assertRaises(ValueError, int, '53', 40) |
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316 # trailing L should no longer be accepted... |
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317 self.assertRaises(ValueError, int, '123L') |
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318 self.assertRaises(ValueError, int, '123l') |
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319 self.assertRaises(ValueError, int, '0L') |
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320 self.assertRaises(ValueError, int, '-37L') |
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321 self.assertRaises(ValueError, int, '0x32L', 16) |
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322 self.assertRaises(ValueError, int, '1L', 21) |
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323 # ... but it's just a normal digit if base >= 22 |
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324 self.assertEqual(int('1L', 22), 43) |
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325 |
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326 self.assertRaises(TypeError, int, 1, 12) |
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328 # SF patch #1638879: embedded NULs were not detected with |
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329 # explicit base |
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330 self.assertRaises(ValueError, int, '123\0', 10) |
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331 self.assertRaises(ValueError, int, '123\x00 245', 20) |
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332 |
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333 self.assertEqual(int('100000000000000000000000000000000', 2), |
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334 4294967296) |
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335 self.assertEqual(int('102002022201221111211', 3), 4294967296) |
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336 self.assertEqual(int('10000000000000000', 4), 4294967296) |
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337 self.assertEqual(int('32244002423141', 5), 4294967296) |
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338 self.assertEqual(int('1550104015504', 6), 4294967296) |
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339 self.assertEqual(int('211301422354', 7), 4294967296) |
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340 self.assertEqual(int('40000000000', 8), 4294967296) |
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341 self.assertEqual(int('12068657454', 9), 4294967296) |
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342 self.assertEqual(int('4294967296', 10), 4294967296) |
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343 self.assertEqual(int('1904440554', 11), 4294967296) |
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344 self.assertEqual(int('9ba461594', 12), 4294967296) |
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345 self.assertEqual(int('535a79889', 13), 4294967296) |
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346 self.assertEqual(int('2ca5b7464', 14), 4294967296) |
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347 self.assertEqual(int('1a20dcd81', 15), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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348 self.assertEqual(int('100000000', 16), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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349 self.assertEqual(int('a7ffda91', 17), 4294967296) |
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350 self.assertEqual(int('704he7g4', 18), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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351 self.assertEqual(int('4f5aff66', 19), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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352 self.assertEqual(int('3723ai4g', 20), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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353 self.assertEqual(int('281d55i4', 21), 4294967296) |
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031dfe455585
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354 self.assertEqual(int('1fj8b184', 22), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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355 self.assertEqual(int('1606k7ic', 23), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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356 self.assertEqual(int('mb994ag', 24), 4294967296) |
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031dfe455585
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357 self.assertEqual(int('hek2mgl', 25), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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358 self.assertEqual(int('dnchbnm', 26), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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359 self.assertEqual(int('b28jpdm', 27), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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360 self.assertEqual(int('8pfgih4', 28), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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361 self.assertEqual(int('76beigg', 29), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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362 self.assertEqual(int('5qmcpqg', 30), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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363 self.assertEqual(int('4q0jto4', 31), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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364 self.assertEqual(int('4000000', 32), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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365 self.assertEqual(int('3aokq94', 33), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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366 self.assertEqual(int('2qhxjli', 34), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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367 self.assertEqual(int('2br45qb', 35), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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368 self.assertEqual(int('1z141z4', 36), 4294967296) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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369 |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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370 self.assertEqual(int('100000000000000000000000000000001', 2), |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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371 4294967297) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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372 self.assertEqual(int('102002022201221111212', 3), 4294967297) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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373 self.assertEqual(int('10000000000000001', 4), 4294967297) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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374 self.assertEqual(int('32244002423142', 5), 4294967297) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
Christian Heimes <christian@cheimes.de>
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375 self.assertEqual(int('1550104015505', 6), 4294967297) |
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031dfe455585
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376 self.assertEqual(int('211301422355', 7), 4294967297) |
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377 self.assertEqual(int('40000000001', 8), 4294967297) |
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378 self.assertEqual(int('12068657455', 9), 4294967297) |
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379 self.assertEqual(int('4294967297', 10), 4294967297) |
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380 self.assertEqual(int('1904440555', 11), 4294967297) |
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381 self.assertEqual(int('9ba461595', 12), 4294967297) |
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382 self.assertEqual(int('535a7988a', 13), 4294967297) |
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383 self.assertEqual(int('2ca5b7465', 14), 4294967297) |
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384 self.assertEqual(int('1a20dcd82', 15), 4294967297) |
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031dfe455585
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385 self.assertEqual(int('100000001', 16), 4294967297) |
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386 self.assertEqual(int('a7ffda92', 17), 4294967297) |
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387 self.assertEqual(int('704he7g5', 18), 4294967297) |
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388 self.assertEqual(int('4f5aff67', 19), 4294967297) |
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031dfe455585
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389 self.assertEqual(int('3723ai4h', 20), 4294967297) |
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390 self.assertEqual(int('281d55i5', 21), 4294967297) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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391 self.assertEqual(int('1fj8b185', 22), 4294967297) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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392 self.assertEqual(int('1606k7id', 23), 4294967297) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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393 self.assertEqual(int('mb994ah', 24), 4294967297) |
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031dfe455585
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394 self.assertEqual(int('hek2mgm', 25), 4294967297) |
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031dfe455585
Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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395 self.assertEqual(int('dnchbnn', 26), 4294967297) |
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031dfe455585
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396 self.assertEqual(int('b28jpdn', 27), 4294967297) |
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397 self.assertEqual(int('8pfgih5', 28), 4294967297) |
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Merged revisions 62425-62429,62434-62436,62441,62444,62446-62448,62450-62455,62463,62465-62466,62469,62474,62476-62478,62480,62485,62492,62497-62498,62500,62507,62513-62514,62516,62521,62531,62535,62545-62546,62548-62551,62553-62559,62569,62574,62577,62593,62595,62604-62606,62608,62616,62626-62627,62636,62638,62644-62645,62647-62648,62651-62653,62656,62661,62663,62680,62686-62687,62696,62699-62703,62711 via svnmerge from
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398 self.assertEqual(int('76beigh', 29), 4294967297) |
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399 self.assertEqual(int('5qmcpqh', 30), 4294967297) |
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400 self.assertEqual(int('4q0jto5', 31), 4294967297) |
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401 self.assertEqual(int('4000001', 32), 4294967297) |
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402 self.assertEqual(int('3aokq95', 33), 4294967297) |
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031dfe455585
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403 self.assertEqual(int('2qhxjlj', 34), 4294967297) |
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031dfe455585
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404 self.assertEqual(int('2br45qc', 35), 4294967297) |
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031dfe455585
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405 self.assertEqual(int('1z141z5', 36), 4294967297) |
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407 # tests with base 0 |
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408 self.assertEqual(int('000', 0), 0) |
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409 self.assertEqual(int('0o123', 0), 83) |
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410 self.assertEqual(int('0x123', 0), 291) |
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411 self.assertEqual(int('0b100', 0), 4) |
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412 self.assertEqual(int(' 0O123 ', 0), 83) |
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413 self.assertEqual(int(' 0X123 ', 0), 291) |
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414 self.assertEqual(int(' 0B100 ', 0), 4) |
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415 self.assertEqual(int('0', 0), 0) |
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416 self.assertEqual(int('+0', 0), 0) |
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417 self.assertEqual(int('-0', 0), 0) |
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418 self.assertEqual(int('00', 0), 0) |
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419 self.assertRaises(ValueError, int, '08', 0) |
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420 self.assertRaises(ValueError, int, '-012395', 0) |
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422 def test_conversion(self): |
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423 # Test __int__() |
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424 class ClassicMissingMethods: |
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425 pass |
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426 self.assertRaises(TypeError, int, ClassicMissingMethods()) |
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428 class MissingMethods(object): |
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429 pass |
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430 self.assertRaises(TypeError, int, MissingMethods()) |
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431 |
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432 class Foo0: |
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433 def __int__(self): |
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434 return 42 |
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435 |
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436 class Foo1(object): |
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437 def __int__(self): |
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438 return 42 |
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440 class Foo2(int): |
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441 def __int__(self): |
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442 return 42 |
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444 class Foo3(int): |
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445 def __int__(self): |
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446 return self |
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447 |
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448 class Foo4(int): |
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449 def __int__(self): |
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450 return 42 |
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451 |
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452 class Foo5(int): |
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453 def __int__(self): |
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454 return 42. |
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455 |
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456 self.assertEqual(int(Foo0()), 42) |
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457 self.assertEqual(int(Foo1()), 42) |
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458 self.assertEqual(int(Foo2()), 42) |
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459 self.assertEqual(int(Foo3()), 0) |
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460 self.assertEqual(int(Foo4()), 42) |
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461 self.assertRaises(TypeError, int, Foo5()) |
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462 |
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463 class Classic: |
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464 pass |
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465 for base in (object, Classic): |
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466 class IntOverridesTrunc(base): |
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467 def __int__(self): |
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468 return 42 |
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469 def __trunc__(self): |
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470 return -12 |
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471 self.assertEqual(int(IntOverridesTrunc()), 42) |
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472 |
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473 class JustTrunc(base): |
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474 def __trunc__(self): |
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475 return 42 |
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476 self.assertEqual(int(JustTrunc()), 42) |
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477 |
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478 class JustLong(base): |
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479 # test that __long__ no longer used in 3.x |
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480 def __long__(self): |
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481 return 42 |
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482 self.assertRaises(TypeError, int, JustLong()) |
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483 |
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484 class LongTrunc(base): |
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485 # __long__ should be ignored in 3.x |
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486 def __long__(self): |
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487 return 42 |
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488 def __trunc__(self): |
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489 return 1729 |
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490 self.assertEqual(int(LongTrunc()), 1729) |
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492 for trunc_result_base in (object, Classic): |
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493 class Integral(trunc_result_base): |
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494 def __int__(self): |
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495 return 42 |
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497 class TruncReturnsNonLong(base): |
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498 def __trunc__(self): |
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499 return Integral() |
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500 self.assertEqual(int(TruncReturnsNonLong()), 42) |
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502 class NonIntegral(trunc_result_base): |
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503 def __trunc__(self): |
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504 # Check that we avoid infinite recursion. |
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505 return NonIntegral() |
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506 |
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507 class TruncReturnsNonIntegral(base): |
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508 def __trunc__(self): |
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509 return NonIntegral() |
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510 try: |
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511 int(TruncReturnsNonIntegral()) |
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512 except TypeError as e: |
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513 self.assertEquals(str(e), |
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514 "__trunc__ returned non-Integral" |
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515 " (type NonIntegral)") |
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516 else: |
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517 self.fail("Failed to raise TypeError with %s" % |
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518 ((base, trunc_result_base),)) |
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519 |
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520 def test_misc(self): |
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521 |
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522 # check the extremes in int<->long conversion |
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523 hugepos = sys.maxsize |
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524 hugeneg = -hugepos - 1 |
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525 hugepos_aslong = int(hugepos) |
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526 hugeneg_aslong = int(hugeneg) |
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527 self.assertEqual(hugepos, hugepos_aslong, "long(sys.maxsize) != sys.maxsize") |
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528 self.assertEqual(hugeneg, hugeneg_aslong, |
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529 "long(-sys.maxsize-1) != -sys.maxsize-1") |
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530 |
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531 # long -> int should not fail for hugepos_aslong or hugeneg_aslong |
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532 x = int(hugepos_aslong) |
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533 try: |
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534 self.assertEqual(x, hugepos, |
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535 "converting sys.maxsize to long and back to int fails") |
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536 except OverflowError: |
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537 self.fail("int(long(sys.maxsize)) overflowed!") |
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538 if not isinstance(x, int): |
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539 raise TestFailed("int(long(sys.maxsize)) should have returned int") |
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540 x = int(hugeneg_aslong) |
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541 try: |
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542 self.assertEqual(x, hugeneg, |
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543 "converting -sys.maxsize-1 to long and back to int fails") |
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544 except OverflowError: |
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545 self.fail("int(long(-sys.maxsize-1)) overflowed!") |
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546 if not isinstance(x, int): |
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547 raise TestFailed("int(long(-sys.maxsize-1)) should have " |
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548 "returned int") |
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549 # but long -> int should overflow for hugepos+1 and hugeneg-1 |
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550 x = hugepos_aslong + 1 |
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551 try: |
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552 y = int(x) |
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Port test_long.py to unittest.
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553 except OverflowError: |
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554 self.fail("int(long(sys.maxsize) + 1) mustn't overflow") |
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555 self.assertTrue(isinstance(y, int), |
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556 "int(long(sys.maxsize) + 1) should have returned long") |
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557 |
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558 x = hugeneg_aslong - 1 |
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559 try: |
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560 y = int(x) |
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561 except OverflowError: |
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562 self.fail("int(long(-sys.maxsize-1) - 1) mustn't overflow") |
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563 self.assertTrue(isinstance(y, int), |
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564 "int(long(-sys.maxsize-1) - 1) should have returned long") |
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565 |
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566 class long2(int): |
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567 pass |
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568 x = long2(1<<100) |
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569 y = int(x) |
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570 self.assertTrue(type(y) is int, |
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571 "overflowing int conversion must return long not long subtype") |
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572 |
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573 # ----------------------------------- tests of auto int->long conversion |
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574 |
|
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575 def test_auto_overflow(self): |
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576 import math, sys |
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|
577 |
|
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578 special = [0, 1, 2, 3, sys.maxsize-1, sys.maxsize, sys.maxsize+1] |
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579 sqrt = int(math.sqrt(sys.maxsize)) |
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580 special.extend([sqrt-1, sqrt, sqrt+1]) |
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581 special.extend([-i for i in special]) |
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582 |
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583 def checkit(*args): |
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584 # Heavy use of nested scopes here! |
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585 self.assertEqual(got, expected, |
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586 Frm("for %r expected %r got %r", args, expected, got)) |
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587 |
|
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588 for x in special: |
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589 longx = int(x) |
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590 |
|
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591 expected = -longx |
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592 got = -x |
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593 checkit('-', x) |
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594 |
|
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595 for y in special: |
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596 longy = int(y) |
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597 |
|
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598 expected = longx + longy |
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599 got = x + y |
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600 checkit(x, '+', y) |
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601 |
|
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602 expected = longx - longy |
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603 got = x - y |
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604 checkit(x, '-', y) |
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605 |
|
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606 expected = longx * longy |
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607 got = x * y |
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608 checkit(x, '*', y) |
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|
609 |
|
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610 if y: |
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611 expected = longx / longy |
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612 got = x / y |
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613 checkit(x, '/', y) |
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614 |
|
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615 expected = longx // longy |
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616 got = x // y |
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617 checkit(x, '//', y) |
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618 |
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619 expected = divmod(longx, longy) |
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620 got = divmod(longx, longy) |
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621 checkit(x, 'divmod', y) |
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622 |
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623 if abs(y) < 5 and not (x == 0 and y < 0): |
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624 expected = longx ** longy |
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625 got = x ** y |
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626 checkit(x, '**', y) |
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627 |
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628 for z in special: |
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629 if z != 0 : |
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630 if y >= 0: |
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631 expected = pow(longx, longy, int(z)) |
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632 got = pow(x, y, z) |
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633 checkit('pow', x, y, '%', z) |
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634 else: |
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635 self.assertRaises(TypeError, pow,longx, longy, int(z)) |
|
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636 |
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637 @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"), |
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638 "test requires IEEE 754 doubles") |
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639 def test_float_conversion(self): |
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640 import sys |
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641 DBL_MAX = sys.float_info.max |
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642 DBL_MAX_EXP = sys.float_info.max_exp |
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643 DBL_MANT_DIG = sys.float_info.mant_dig |
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644 |
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645 exact_values = [0, 1, 2, |
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646 2**53-3, |
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647 2**53-2, |
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648 2**53-1, |
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649 2**53, |
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650 2**53+2, |
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651 2**54-4, |
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652 2**54-2, |
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653 2**54, |
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654 2**54+4] |
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655 for x in exact_values: |
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656 self.assertEqual(float(x), x) |
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657 self.assertEqual(float(-x), -x) |
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658 |
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659 # test round-half-even |
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660 for x, y in [(1, 0), (2, 2), (3, 4), (4, 4), (5, 4), (6, 6), (7, 8)]: |
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661 for p in range(15): |
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662 self.assertEqual(int(float(2**p*(2**53+x))), 2**p*(2**53+y)) |
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663 |
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664 for x, y in [(0, 0), (1, 0), (2, 0), (3, 4), (4, 4), (5, 4), (6, 8), |
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665 (7, 8), (8, 8), (9, 8), (10, 8), (11, 12), (12, 12), |
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666 (13, 12), (14, 16), (15, 16)]: |
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667 for p in range(15): |
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668 self.assertEqual(int(float(2**p*(2**54+x))), 2**p*(2**54+y)) |
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669 |
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670 # behaviour near extremes of floating-point range |
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671 int_dbl_max = int(DBL_MAX) |
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672 top_power = 2**DBL_MAX_EXP |
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673 halfway = (int_dbl_max + top_power)//2 |
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674 self.assertEqual(float(int_dbl_max), DBL_MAX) |
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675 self.assertEqual(float(int_dbl_max+1), DBL_MAX) |
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676 self.assertEqual(float(halfway-1), DBL_MAX) |
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677 self.assertRaises(OverflowError, float, halfway) |
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678 self.assertEqual(float(1-halfway), -DBL_MAX) |
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679 self.assertRaises(OverflowError, float, -halfway) |
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680 self.assertRaises(OverflowError, float, top_power-1) |
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681 self.assertRaises(OverflowError, float, top_power) |
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682 self.assertRaises(OverflowError, float, top_power+1) |
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683 self.assertRaises(OverflowError, float, 2*top_power-1) |
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684 self.assertRaises(OverflowError, float, 2*top_power) |
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685 self.assertRaises(OverflowError, float, top_power*top_power) |
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686 |
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687 for p in range(100): |
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688 x = 2**p * (2**53 + 1) + 1 |
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689 y = 2**p * (2**53 + 2) |
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690 self.assertEqual(int(float(x)), y) |
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691 |
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692 x = 2**p * (2**53 + 1) |
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693 y = 2**p * 2**53 |
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694 self.assertEqual(int(float(x)), y) |
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695 |
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696 def test_float_overflow(self): |
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697 import math |
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698 |
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699 for x in -2.0, -1.0, 0.0, 1.0, 2.0: |
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700 self.assertEqual(float(int(x)), x) |
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701 |
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702 shuge = '12345' * 120 |
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703 huge = 1 << 30000 |
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704 mhuge = -huge |
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705 namespace = {'huge': huge, 'mhuge': mhuge, 'shuge': shuge, 'math': math} |
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706 for test in ["float(huge)", "float(mhuge)", |
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707 "complex(huge)", "complex(mhuge)", |
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708 "complex(huge, 1)", "complex(mhuge, 1)", |
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709 "complex(1, huge)", "complex(1, mhuge)", |
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710 "1. + huge", "huge + 1.", "1. + mhuge", "mhuge + 1.", |
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711 "1. - huge", "huge - 1.", "1. - mhuge", "mhuge - 1.", |
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712 "1. * huge", "huge * 1.", "1. * mhuge", "mhuge * 1.", |
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713 "1. // huge", "huge // 1.", "1. // mhuge", "mhuge // 1.", |
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714 "1. / huge", "huge / 1.", "1. / mhuge", "mhuge / 1.", |
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715 "1. ** huge", "huge ** 1.", "1. ** mhuge", "mhuge ** 1.", |
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716 "math.sin(huge)", "math.sin(mhuge)", |
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717 "math.sqrt(huge)", "math.sqrt(mhuge)", # should do better |
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718 # math.floor() of an int returns an int now |
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719 ##"math.floor(huge)", "math.floor(mhuge)", |
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720 ]: |
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721 |
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722 self.assertRaises(OverflowError, eval, test, namespace) |
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723 |
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724 # XXX Perhaps float(shuge) can raise OverflowError on some box? |
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725 # The comparison should not. |
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726 self.assertNotEqual(float(shuge), int(shuge), |
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727 "float(shuge) should not equal int(shuge)") |
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728 |
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729 def test_logs(self): |
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730 import math |
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731 |
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732 LOG10E = math.log10(math.e) |
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733 |
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734 for exp in list(range(10)) + [100, 1000, 10000]: |
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735 value = 10 ** exp |
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736 log10 = math.log10(value) |
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737 self.assertAlmostEqual(log10, exp) |
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738 |
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739 # log10(value) == exp, so log(value) == log10(value)/log10(e) == |
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740 # exp/LOG10E |
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741 expected = exp / LOG10E |
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742 log = math.log(value) |
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743 self.assertAlmostEqual(log, expected) |
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745 for bad in -(1 << 10000), -2, 0: |
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746 self.assertRaises(ValueError, math.log, bad) |
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747 self.assertRaises(ValueError, math.log10, bad) |
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748 |
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|
749 def test_mixed_compares(self): |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
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diff
changeset
|
750 eq = self.assertEqual |
|
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Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
751 import math |
|
33547
702367da2c72
SF bug #513866: Float/long comparison anomaly.
Tim Peters <tim.peters@gmail.com>
parents:
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diff
changeset
|
752 |
|
35072
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
753 # We're mostly concerned with that mixing floats and longs does the |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
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diff
changeset
|
754 # right stuff, even when longs are too large to fit in a float. |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
755 # The safest way to check the results is to use an entirely different |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
756 # method, which we do here via a skeletal rational class (which |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
757 # represents all Python ints, longs and floats exactly). |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
758 class Rat: |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
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diff
changeset
|
759 def __init__(self, value): |
|
41592
1e5a2a2b18ee
Fix various spots where int/long and str/unicode unification
Walter Dörwald <walter@livinglogic.de>
parents:
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diff
changeset
|
760 if isinstance(value, int): |
|
35072
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
761 self.n = value |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
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diff
changeset
|
762 self.d = 1 |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
763 elif isinstance(value, float): |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
764 # Convert to exact rational equivalent. |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
765 f, e = math.frexp(abs(value)) |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
766 assert f == 0 or 0.5 <= f < 1.0 |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
767 # |value| = f * 2**e exactly |
|
33547
702367da2c72
SF bug #513866: Float/long comparison anomaly.
Tim Peters <tim.peters@gmail.com>
parents:
33348
diff
changeset
|
768 |
|
35072
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
769 # Suck up CHUNK bits at a time; 28 is enough so that we suck |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
770 # up all bits in 2 iterations for all known binary double- |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
771 # precision formats, and small enough to fit in an int. |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
772 CHUNK = 28 |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
773 top = 0 |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
774 # invariant: |value| = (top + f) * 2**e exactly |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
775 while f: |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
776 f = math.ldexp(f, CHUNK) |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
777 digit = int(f) |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
778 assert digit >> CHUNK == 0 |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
779 top = (top << CHUNK) | digit |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
780 f -= digit |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
781 assert 0.0 <= f < 1.0 |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
782 e -= CHUNK |
|
33547
702367da2c72
SF bug #513866: Float/long comparison anomaly.
Tim Peters <tim.peters@gmail.com>
parents:
33348
diff
changeset
|
783 |
|
35072
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
784 # Now |value| = top * 2**e exactly. |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
785 if e >= 0: |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
786 n = top << e |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
787 d = 1 |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
788 else: |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
789 n = top |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
790 d = 1 << -e |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
791 if value < 0: |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
792 n = -n |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
793 self.n = n |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
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diff
changeset
|
794 self.d = d |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
795 assert float(n) / float(d) == value |
|
33547
702367da2c72
SF bug #513866: Float/long comparison anomaly.
Tim Peters <tim.peters@gmail.com>
parents:
33348
diff
changeset
|
796 else: |
|
35072
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
797 raise TypeError("can't deal with %r" % val) |
|
33547
702367da2c72
SF bug #513866: Float/long comparison anomaly.
Tim Peters <tim.peters@gmail.com>
parents:
33348
diff
changeset
|
798 |
|
49518
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
799 def _cmp__(self, other): |
|
35072
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
800 if not isinstance(other, Rat): |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
801 other = Rat(other) |
|
51121
74aa43dd875d
Issue #1717: Remove cmp. Stage 1: remove all uses of cmp and __cmp__ from
Mark Dickinson <dickinsm@gmail.com>
parents:
50945
diff
changeset
|
802 x, y = self.n * other.d, self.d * other.n |
|
74aa43dd875d
Issue #1717: Remove cmp. Stage 1: remove all uses of cmp and __cmp__ from
Mark Dickinson <dickinsm@gmail.com>
parents:
50945
diff
changeset
|
803 return (x > y) - (x < y) |
|
49518
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
804 def __eq__(self, other): |
|
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
805 return self._cmp__(other) == 0 |
|
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
806 def __ne__(self, other): |
|
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
807 return self._cmp__(other) != 0 |
|
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
808 def __ge__(self, other): |
|
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
809 return self._cmp__(other) >= 0 |
|
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
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diff
changeset
|
810 def __gt__(self, other): |
|
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
811 return self._cmp__(other) > 0 |
|
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
812 def __le__(self, other): |
|
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
813 return self._cmp__(other) <= 0 |
|
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
814 def __lt__(self, other): |
|
d0619e210ac4
remove some more references to __cmp__ #1717
Benjamin Peterson <benjamin@python.org>
parents:
48680
diff
changeset
|
815 return self._cmp__(other) < 0 |
|
33547
702367da2c72
SF bug #513866: Float/long comparison anomaly.
Tim Peters <tim.peters@gmail.com>
parents:
33348
diff
changeset
|
816 |
|
35072
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
817 cases = [0, 0.001, 0.99, 1.0, 1.5, 1e20, 1e200] |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
818 # 2**48 is an important boundary in the internals. 2**53 is an |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
819 # important boundary for IEEE double precision. |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
820 for t in 2.0**48, 2.0**50, 2.0**53: |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
821 cases.extend([t - 1.0, t - 0.3, t, t + 0.3, t + 1.0, |
|
40644
1c26505c1de6
Rip out 'long' and 'L'-suffixed integer literals.
Guido van Rossum <guido@python.org>
parents:
40450
diff
changeset
|
822 int(t-1), int(t), int(t+1)]) |
|
44160
9d152530910a
Removed PyInt_GetMax and sys.maxint
Christian Heimes <christian@cheimes.de>
parents:
43100
diff
changeset
|
823 cases.extend([0, 1, 2, sys.maxsize, float(sys.maxsize)]) |
|
35072
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
824 # 1L<<20000 should exceed all double formats. long(1e200) is to |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
825 # check that we get equality with 1e200 above. |
|
40644
1c26505c1de6
Rip out 'long' and 'L'-suffixed integer literals.
Guido van Rossum <guido@python.org>
parents:
40450
diff
changeset
|
826 t = int(1e200) |
|
1c26505c1de6
Rip out 'long' and 'L'-suffixed integer literals.
Guido van Rossum <guido@python.org>
parents:
40450
diff
changeset
|
827 cases.extend([0, 1, 2, 1 << 20000, t-1, t, t+1]) |
|
35072
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
828 cases.extend([-x for x in cases]) |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
829 for x in cases: |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
830 Rx = Rat(x) |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
831 for y in cases: |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
832 Ry = Rat(y) |
|
51121
74aa43dd875d
Issue #1717: Remove cmp. Stage 1: remove all uses of cmp and __cmp__ from
Mark Dickinson <dickinsm@gmail.com>
parents:
50945
diff
changeset
|
833 Rcmp = (Rx > Ry) - (Rx < Ry) |
|
74aa43dd875d
Issue #1717: Remove cmp. Stage 1: remove all uses of cmp and __cmp__ from
Mark Dickinson <dickinsm@gmail.com>
parents:
50945
diff
changeset
|
834 xycmp = (x > y) - (x < y) |
|
35072
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
835 eq(Rcmp, xycmp, Frm("%r %r %d %d", x, y, Rcmp, xycmp)) |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
836 eq(x == y, Rcmp == 0, Frm("%r == %r %d", x, y, Rcmp)) |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
837 eq(x != y, Rcmp != 0, Frm("%r != %r %d", x, y, Rcmp)) |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
838 eq(x < y, Rcmp < 0, Frm("%r < %r %d", x, y, Rcmp)) |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
839 eq(x <= y, Rcmp <= 0, Frm("%r <= %r %d", x, y, Rcmp)) |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
840 eq(x > y, Rcmp > 0, Frm("%r > %r %d", x, y, Rcmp)) |
|
5fb2163231d3
Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
parents:
33547
diff
changeset
|
841 eq(x >= y, Rcmp >= 0, Frm("%r >= %r %d", x, y, Rcmp)) |
|
33547
702367da2c72
SF bug #513866: Float/long comparison anomaly.
Tim Peters <tim.peters@gmail.com>
parents:
33348
diff
changeset
|
842 |
|
45281
4565c69420b8
Renamed test_format to test__format__, since it really tests the __format__ method. It was hiding another method of the same name.
Eric Smith <eric@trueblade.com>
parents:
45032
diff
changeset
|
843 def test__format__(self): |
|
42817
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42762
diff
changeset
|
844 self.assertEqual(format(123456789, 'd'), '123456789') |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42762
diff
changeset
|
845 self.assertEqual(format(123456789, 'd'), '123456789') |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42762
diff
changeset
|
846 |
| 43097 | 847 # sign and aligning are interdependent |
| 848 self.assertEqual(format(1, "-"), '1') | |
| 849 self.assertEqual(format(-1, "-"), '-1') | |
| 850 self.assertEqual(format(1, "-3"), ' 1') | |
| 851 self.assertEqual(format(-1, "-3"), ' -1') | |
| 852 self.assertEqual(format(1, "+3"), ' +1') | |
| 853 self.assertEqual(format(-1, "+3"), ' -1') | |
| 854 self.assertEqual(format(1, " 3"), ' 1') | |
| 855 self.assertEqual(format(-1, " 3"), ' -1') | |
| 856 self.assertEqual(format(1, " "), ' 1') | |
| 857 self.assertEqual(format(-1, " "), '-1') | |
| 858 | |
|
42817
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42762
diff
changeset
|
859 # hex |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42762
diff
changeset
|
860 self.assertEqual(format(3, "x"), "3") |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42762
diff
changeset
|
861 self.assertEqual(format(3, "X"), "3") |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42762
diff
changeset
|
862 self.assertEqual(format(1234, "x"), "4d2") |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42762
diff
changeset
|
863 self.assertEqual(format(-1234, "x"), "-4d2") |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42762
diff
changeset
|
864 self.assertEqual(format(1234, "8x"), " 4d2") |
| 43097 | 865 self.assertEqual(format(-1234, "8x"), " -4d2") |
|
42817
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42762
diff
changeset
|
866 self.assertEqual(format(1234, "x"), "4d2") |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42762
diff
changeset
|
867 self.assertEqual(format(-1234, "x"), "-4d2") |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
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868 self.assertEqual(format(-3, "x"), "-3") |
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869 self.assertEqual(format(-3, "X"), "-3") |
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870 self.assertEqual(format(int('be', 16), "x"), "be") |
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871 self.assertEqual(format(int('be', 16), "X"), "BE") |
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872 self.assertEqual(format(-int('be', 16), "x"), "-be") |
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873 self.assertEqual(format(-int('be', 16), "X"), "-BE") |
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874 |
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875 # octal |
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876 self.assertEqual(format(3, "b"), "11") |
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877 self.assertEqual(format(-3, "b"), "-11") |
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878 self.assertEqual(format(1234, "b"), "10011010010") |
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879 self.assertEqual(format(-1234, "b"), "-10011010010") |
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880 self.assertEqual(format(1234, "-b"), "10011010010") |
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881 self.assertEqual(format(-1234, "-b"), "-10011010010") |
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882 self.assertEqual(format(1234, " b"), " 10011010010") |
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883 self.assertEqual(format(-1234, " b"), "-10011010010") |
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884 self.assertEqual(format(1234, "+b"), "+10011010010") |
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885 self.assertEqual(format(-1234, "+b"), "-10011010010") |
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886 |
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887 # make sure these are errors |
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888 self.assertRaises(ValueError, format, 3, "1.3") # precision disallowed |
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889 self.assertRaises(ValueError, format, 3, "+c") # sign not allowed |
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890 # with 'c' |
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891 |
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892 # ensure that only int and float type specifiers work |
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893 for format_spec in ([chr(x) for x in range(ord('a'), ord('z')+1)] + |
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894 [chr(x) for x in range(ord('A'), ord('Z')+1)]): |
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895 if not format_spec in 'bcdoxXeEfFgGn%': |
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896 self.assertRaises(ValueError, format, 0, format_spec) |
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897 self.assertRaises(ValueError, format, 1, format_spec) |
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898 self.assertRaises(ValueError, format, -1, format_spec) |
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899 self.assertRaises(ValueError, format, 2**100, format_spec) |
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900 self.assertRaises(ValueError, format, -(2**100), format_spec) |
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901 |
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902 # ensure that float type specifiers work; format converts |
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903 # the int to a float |
|
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904 for format_spec in 'eEfFgG%': |
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905 for value in [0, 1, -1, 100, -100, 1234567890, -1234567890]: |
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906 self.assertEqual(format(value, format_spec), |
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907 format(float(value), format_spec)) |
|
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908 |
|
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909 def test_nan_inf(self): |
| 44463 | 910 self.assertRaises(OverflowError, int, float('inf')) |
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911 self.assertRaises(OverflowError, int, float('-inf')) |
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912 self.assertRaises(ValueError, int, float('nan')) |
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913 |
|
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914 def test_true_division(self): |
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915 huge = 1 << 40000 |
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916 mhuge = -huge |
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917 self.assertEqual(huge / huge, 1.0) |
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918 self.assertEqual(mhuge / mhuge, 1.0) |
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919 self.assertEqual(huge / mhuge, -1.0) |
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920 self.assertEqual(mhuge / huge, -1.0) |
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921 self.assertEqual(1 / huge, 0.0) |
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922 self.assertEqual(1 / huge, 0.0) |
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923 self.assertEqual(1 / mhuge, 0.0) |
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924 self.assertEqual(1 / mhuge, 0.0) |
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925 self.assertEqual((666 * huge + (huge >> 1)) / huge, 666.5) |
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926 self.assertEqual((666 * mhuge + (mhuge >> 1)) / mhuge, 666.5) |
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927 self.assertEqual((666 * huge + (huge >> 1)) / mhuge, -666.5) |
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928 self.assertEqual((666 * mhuge + (mhuge >> 1)) / huge, -666.5) |
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929 self.assertEqual(huge / (huge << 1), 0.5) |
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930 self.assertEqual((1000000 * huge) / huge, 1000000) |
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931 |
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932 namespace = {'huge': huge, 'mhuge': mhuge} |
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933 |
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934 for overflow in ["float(huge)", "float(mhuge)", |
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935 "huge / 1", "huge / 2", "huge / -1", "huge / -2", |
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936 "mhuge / 100", "mhuge / 200"]: |
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937 self.assertRaises(OverflowError, eval, overflow, namespace) |
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938 |
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939 for underflow in ["1 / huge", "2 / huge", "-1 / huge", "-2 / huge", |
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940 "100 / mhuge", "200 / mhuge"]: |
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941 result = eval(underflow, namespace) |
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942 self.assertEqual(result, 0.0, |
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943 "expected underflow to 0 from %r" % underflow) |
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944 |
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945 for zero in ["huge / 0", "mhuge / 0"]: |
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946 self.assertRaises(ZeroDivisionError, eval, zero, namespace) |
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947 |
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948 |
|
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949 def test_small_ints(self): |
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950 for i in range(-5, 257): |
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951 self.assertTrue(i is i + 0) |
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952 self.assertTrue(i is i * 1) |
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953 self.assertTrue(i is i - 0) |
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954 self.assertTrue(i is i // 1) |
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955 self.assertTrue(i is i & -1) |
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956 self.assertTrue(i is i | 0) |
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957 self.assertTrue(i is i ^ 0) |
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958 self.assertTrue(i is ~~i) |
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959 self.assertTrue(i is i**1) |
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960 self.assertTrue(i is int(str(i))) |
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961 self.assertTrue(i is i<<2>>2, str(i)) |
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962 # corner cases |
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963 i = 1 << 70 |
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964 self.assertTrue(i - i is 0) |
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965 self.assertTrue(0 * i is 0) |
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966 |
|
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967 def test_bit_length(self): |
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968 tiny = 1e-10 |
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969 for x in range(-65000, 65000): |
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970 k = x.bit_length() |
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971 # Check equivalence with Python version |
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972 self.assertEqual(k, len(bin(x).lstrip('-0b'))) |
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973 # Behaviour as specified in the docs |
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974 if x != 0: |
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975 self.assertTrue(2**(k-1) <= abs(x) < 2**k) |
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976 else: |
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977 self.assertEqual(k, 0) |
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978 # Alternative definition: x.bit_length() == 1 + floor(log_2(x)) |
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979 if x != 0: |
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980 # When x is an exact power of 2, numeric errors can |
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981 # cause floor(log(x)/log(2)) to be one too small; for |
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982 # small x this can be fixed by adding a small quantity |
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983 # to the quotient before taking the floor. |
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984 self.assertEqual(k, 1 + math.floor( |
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985 math.log(abs(x))/math.log(2) + tiny)) |
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986 |
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987 self.assertEqual((0).bit_length(), 0) |
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988 self.assertEqual((1).bit_length(), 1) |
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989 self.assertEqual((-1).bit_length(), 1) |
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990 self.assertEqual((2).bit_length(), 2) |
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991 self.assertEqual((-2).bit_length(), 2) |
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992 for i in [2, 3, 15, 16, 17, 31, 32, 33, 63, 64, 234]: |
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993 a = 2**i |
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994 self.assertEqual((a-1).bit_length(), i) |
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995 self.assertEqual((1-a).bit_length(), i) |
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996 self.assertEqual((a).bit_length(), i+1) |
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997 self.assertEqual((-a).bit_length(), i+1) |
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998 self.assertEqual((a+1).bit_length(), i+1) |
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999 self.assertEqual((-a-1).bit_length(), i+1) |
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1000 |
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1001 def test_round(self): |
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1002 # check round-half-even algorithm. For round to nearest ten; |
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1003 # rounding map is invariant under adding multiples of 20 |
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1004 test_dict = {0:0, 1:0, 2:0, 3:0, 4:0, 5:0, |
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1005 6:10, 7:10, 8:10, 9:10, 10:10, 11:10, 12:10, 13:10, 14:10, |
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1006 15:20, 16:20, 17:20, 18:20, 19:20} |
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1007 for offset in range(-520, 520, 20): |
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1008 for k, v in test_dict.items(): |
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1009 got = round(k+offset, -1) |
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1010 expected = v+offset |
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1011 self.assertEqual(got, expected) |
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1012 self.assertTrue(type(got) is int) |
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1013 |
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1014 # larger second argument |
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1015 self.assertEqual(round(-150, -2), -200) |
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1016 self.assertEqual(round(-149, -2), -100) |
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1017 self.assertEqual(round(-51, -2), -100) |
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1018 self.assertEqual(round(-50, -2), 0) |
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1019 self.assertEqual(round(-49, -2), 0) |
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1020 self.assertEqual(round(-1, -2), 0) |
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1021 self.assertEqual(round(0, -2), 0) |
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1022 self.assertEqual(round(1, -2), 0) |
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1023 self.assertEqual(round(49, -2), 0) |
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1024 self.assertEqual(round(50, -2), 0) |
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1025 self.assertEqual(round(51, -2), 100) |
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1026 self.assertEqual(round(149, -2), 100) |
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1027 self.assertEqual(round(150, -2), 200) |
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1028 self.assertEqual(round(250, -2), 200) |
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1029 self.assertEqual(round(251, -2), 300) |
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1030 self.assertEqual(round(172500, -3), 172000) |
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1031 self.assertEqual(round(173500, -3), 174000) |
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1032 self.assertEqual(round(31415926535, -1), 31415926540) |
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1033 self.assertEqual(round(31415926535, -2), 31415926500) |
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1034 self.assertEqual(round(31415926535, -3), 31415927000) |
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1035 self.assertEqual(round(31415926535, -4), 31415930000) |
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1036 self.assertEqual(round(31415926535, -5), 31415900000) |
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1037 self.assertEqual(round(31415926535, -6), 31416000000) |
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1038 self.assertEqual(round(31415926535, -7), 31420000000) |
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1039 self.assertEqual(round(31415926535, -8), 31400000000) |
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1040 self.assertEqual(round(31415926535, -9), 31000000000) |
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1041 self.assertEqual(round(31415926535, -10), 30000000000) |
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1042 self.assertEqual(round(31415926535, -11), 0) |
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1043 self.assertEqual(round(31415926535, -12), 0) |
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1044 self.assertEqual(round(31415926535, -999), 0) |
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1045 |
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1046 # should get correct results even for huge inputs |
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1047 for k in range(10, 100): |
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1048 got = round(10**k + 324678, -3) |
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1049 expect = 10**k + 325000 |
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1050 self.assertEqual(got, expect) |
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1051 self.assertTrue(type(got) is int) |
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1052 |
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1053 # nonnegative second argument: round(x, n) should just return x |
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1054 for n in range(5): |
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1055 for i in range(100): |
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1056 x = random.randrange(-10000, 10000) |
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1057 got = round(x, n) |
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1058 self.assertEqual(got, x) |
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1059 self.assertTrue(type(got) is int) |
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1060 for huge_n in 2**31-1, 2**31, 2**63-1, 2**63, 2**100, 10**100: |
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1061 self.assertEqual(round(8979323, huge_n), 8979323) |
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1062 |
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1063 # omitted second argument |
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1064 for i in range(100): |
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1065 x = random.randrange(-10000, 10000) |
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Issue #4707: round(x, n) now returns an integer when x is an integer.
Mark Dickinson <dickinsm@gmail.com>
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51121
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1066 got = round(x) |
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9742e8a4dca1
Issue #4707: round(x, n) now returns an integer when x is an integer.
Mark Dickinson <dickinsm@gmail.com>
parents:
51121
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1067 self.assertEqual(got, x) |
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0bb232078b8c
Merged revisions 73715 via svnmerge from
Georg Brandl <georg@python.org>
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53290
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1068 self.assertTrue(type(got) is int) |
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51145
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Issue #4707: round(x, n) now returns an integer when x is an integer.
Mark Dickinson <dickinsm@gmail.com>
parents:
51121
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changeset
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1069 |
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9742e8a4dca1
Issue #4707: round(x, n) now returns an integer when x is an integer.
Mark Dickinson <dickinsm@gmail.com>
parents:
51121
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1070 # bad second argument |
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9742e8a4dca1
Issue #4707: round(x, n) now returns an integer when x is an integer.
Mark Dickinson <dickinsm@gmail.com>
parents:
51121
diff
changeset
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1071 bad_exponents = ('brian', 2.0, 0j, None) |
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9742e8a4dca1
Issue #4707: round(x, n) now returns an integer when x is an integer.
Mark Dickinson <dickinsm@gmail.com>
parents:
51121
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1072 for e in bad_exponents: |
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9742e8a4dca1
Issue #4707: round(x, n) now returns an integer when x is an integer.
Mark Dickinson <dickinsm@gmail.com>
parents:
51121
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1073 self.assertRaises(TypeError, round, 3, e) |
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9742e8a4dca1
Issue #4707: round(x, n) now returns an integer when x is an integer.
Mark Dickinson <dickinsm@gmail.com>
parents:
51121
diff
changeset
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1074 |
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Issue #4707: round(x, n) now returns an integer when x is an integer.
Mark Dickinson <dickinsm@gmail.com>
parents:
51121
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1075 |
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92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
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49518
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1076 |
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Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
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1077 def test_main(): |
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#2621 rename test.test_support to test.support
Benjamin Peterson <benjamin@python.org>
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46909
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1078 support.run_unittest(LongTest) |
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Add Tim Peters' test for long ints
Guido van Rossum <guido@python.org>
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1079 |
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Port test_long.py to unittest.
Walter Dörwald <walter@livinglogic.de>
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1080 if __name__ == "__main__": |
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Walter Dörwald <walter@livinglogic.de>
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1081 test_main() |
