Mercurial > cpython-lru_cache-weakref
annotate Lib/test/test_long.py @ 51749:1408feec0084 3.0
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r69798 | benjamin.peterson | 2009-02-19 22:02:38 -0600 (Thu, 19 Feb 2009) | 13 lines
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r69769 | georg.brandl | 2009-02-19 02:30:06 -0600 (Thu, 19 Feb 2009) | 1 line
#5310, #3558: fix operator precedence table.
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r69776 | georg.brandl | 2009-02-19 10:34:51 -0600 (Thu, 19 Feb 2009) | 2 lines
#5317: update IronPython URL.
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| author | Benjamin Peterson <benjamin@python.org> |
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| date | Fri, 20 Feb 2009 04:05:32 +0000 |
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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 |
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7 # Used for lazy formatting of failure messages |
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8 class Frm(object): |
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9 def __init__(self, format, *args): |
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10 self.format = format |
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11 self.args = args |
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12 |
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13 def __str__(self): |
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14 return self.format % self.args |
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16 # SHIFT should match the value in longintrepr.h for best testing. |
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17 SHIFT = 15 |
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18 BASE = 2 ** SHIFT |
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19 MASK = BASE - 1 |
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20 KARATSUBA_CUTOFF = 70 # from longobject.c |
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21 |
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22 # Max number of base BASE digits to use in test cases. Doubling |
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23 # this will more than double the runtime. |
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24 MAXDIGITS = 15 |
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26 # build some special values |
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27 special = [0, 1, 2, BASE, BASE >> 1, 0x5555555555555555, 0xaaaaaaaaaaaaaaaa] |
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28 # some solid strings of one bits |
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29 p2 = 4 # 0 and 1 already added |
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30 for i in range(2*SHIFT): |
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31 special.append(p2 - 1) |
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32 p2 = p2 << 1 |
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33 del p2 |
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34 # add complements & negations |
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35 special += [~x for x in special] + [-x for x in special] |
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57 |
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58 class LongTest(unittest.TestCase): |
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59 |
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60 # Get quasi-random long consisting of ndigits digits (in base BASE). |
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61 # quasi == the most-significant digit will not be 0, and the number |
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62 # is constructed to contain long strings of 0 and 1 bits. These are |
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63 # more likely than random bits to provoke digit-boundary errors. |
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64 # The sign of the number is also random. |
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65 |
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66 def getran(self, ndigits): |
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67 self.assert_(ndigits > 0) |
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68 nbits_hi = ndigits * SHIFT |
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69 nbits_lo = nbits_hi - SHIFT + 1 |
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70 answer = 0 |
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71 nbits = 0 |
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72 r = int(random.random() * (SHIFT * 2)) | 1 # force 1 bits to start |
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73 while nbits < nbits_lo: |
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74 bits = (r >> 1) + 1 |
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75 bits = min(bits, nbits_hi - nbits) |
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76 self.assert_(1 <= bits <= SHIFT) |
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77 nbits = nbits + bits |
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78 answer = answer << bits |
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79 if r & 1: |
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80 answer = answer | ((1 << bits) - 1) |
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81 r = int(random.random() * (SHIFT * 2)) |
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82 self.assert_(nbits_lo <= nbits <= nbits_hi) |
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83 if random.random() < 0.5: |
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84 answer = -answer |
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85 return answer |
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86 |
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87 # Get random long consisting of ndigits random digits (relative to base |
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88 # BASE). The sign bit is also random. |
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89 |
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90 def getran2(ndigits): |
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91 answer = 0 |
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92 for i in range(ndigits): |
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93 answer = (answer << SHIFT) | random.randint(0, MASK) |
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94 if random.random() < 0.5: |
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95 answer = -answer |
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96 return answer |
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97 |
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98 def check_division(self, x, y): |
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99 eq = self.assertEqual |
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100 q, r = divmod(x, y) |
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101 q2, r2 = x//y, x%y |
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102 pab, pba = x*y, y*x |
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103 eq(pab, pba, Frm("multiplication does not commute for %r and %r", x, y)) |
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104 eq(q, q2, Frm("divmod returns different quotient than / for %r and %r", x, y)) |
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105 eq(r, r2, Frm("divmod returns different mod than %% for %r and %r", x, y)) |
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106 eq(x, q*y + r, Frm("x != q*y + r after divmod on x=%r, y=%r", x, y)) |
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107 if y > 0: |
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108 self.assert_(0 <= r < y, Frm("bad mod from divmod on %r and %r", x, y)) |
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109 else: |
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110 self.assert_(y < r <= 0, Frm("bad mod from divmod on %r and %r", x, y)) |
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111 |
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112 def test_division(self): |
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113 digits = list(range(1, MAXDIGITS+1)) + list(range(KARATSUBA_CUTOFF, |
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114 KARATSUBA_CUTOFF + 14)) |
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115 digits.append(KARATSUBA_CUTOFF * 3) |
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116 for lenx in digits: |
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117 x = self.getran(lenx) |
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118 for leny in digits: |
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119 y = self.getran(leny) or 1 |
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120 self.check_division(x, y) |
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121 |
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122 def test_karatsuba(self): |
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123 digits = list(range(1, 5)) + list(range(KARATSUBA_CUTOFF, |
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124 KARATSUBA_CUTOFF + 10)) |
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125 digits.extend([KARATSUBA_CUTOFF * 10, KARATSUBA_CUTOFF * 100]) |
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126 |
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127 bits = [digit * SHIFT for digit in digits] |
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128 |
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129 # Test products of long strings of 1 bits -- (2**x-1)*(2**y-1) == |
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130 # 2**(x+y) - 2**x - 2**y + 1, so the proper result is easy to check. |
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131 for abits in bits: |
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132 a = (1 << abits) - 1 |
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133 for bbits in bits: |
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134 if bbits < abits: |
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135 continue |
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136 b = (1 << bbits) - 1 |
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137 x = a * b |
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138 y = ((1 << (abits + bbits)) - |
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139 (1 << abits) - |
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140 (1 << bbits) + |
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141 1) |
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142 self.assertEqual(x, y, |
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143 Frm("bad result for a*b: a=%r, b=%r, x=%r, y=%r", a, b, x, y)) |
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144 |
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145 def check_bitop_identities_1(self, x): |
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146 eq = self.assertEqual |
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147 eq(x & 0, 0, Frm("x & 0 != 0 for x=%r", x)) |
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148 eq(x | 0, x, Frm("x | 0 != x for x=%r", x)) |
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149 eq(x ^ 0, x, Frm("x ^ 0 != x for x=%r", x)) |
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150 eq(x & -1, x, Frm("x & -1 != x for x=%r", x)) |
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151 eq(x | -1, -1, Frm("x | -1 != -1 for x=%r", x)) |
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152 eq(x ^ -1, ~x, Frm("x ^ -1 != ~x for x=%r", x)) |
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153 eq(x, ~~x, Frm("x != ~~x for x=%r", x)) |
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154 eq(x & x, x, Frm("x & x != x for x=%r", x)) |
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155 eq(x | x, x, Frm("x | x != x for x=%r", x)) |
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156 eq(x ^ x, 0, Frm("x ^ x != 0 for x=%r", x)) |
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157 eq(x & ~x, 0, Frm("x & ~x != 0 for x=%r", x)) |
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158 eq(x | ~x, -1, Frm("x | ~x != -1 for x=%r", x)) |
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159 eq(x ^ ~x, -1, Frm("x ^ ~x != -1 for x=%r", x)) |
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160 eq(-x, 1 + ~x, Frm("not -x == 1 + ~x for x=%r", x)) |
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161 eq(-x, ~(x-1), Frm("not -x == ~(x-1) forx =%r", x)) |
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162 for n in range(2*SHIFT): |
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163 p2 = 2 ** n |
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164 eq(x << n >> n, x, |
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165 Frm("x << n >> n != x for x=%r, n=%r", (x, n))) |
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166 eq(x // p2, x >> n, |
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167 Frm("x // p2 != x >> n for x=%r n=%r p2=%r", (x, n, p2))) |
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168 eq(x * p2, x << n, |
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169 Frm("x * p2 != x << n for x=%r n=%r p2=%r", (x, n, p2))) |
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170 eq(x & -p2, x >> n << n, |
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171 Frm("not x & -p2 == x >> n << n for x=%r n=%r p2=%r", (x, n, p2))) |
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172 eq(x & -p2, x & ~(p2 - 1), |
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173 Frm("not x & -p2 == x & ~(p2 - 1) for x=%r n=%r p2=%r", (x, n, p2))) |
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174 |
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175 def check_bitop_identities_2(self, x, y): |
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176 eq = self.assertEqual |
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177 eq(x & y, y & x, Frm("x & y != y & x for x=%r, y=%r", (x, y))) |
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178 eq(x | y, y | x, Frm("x | y != y | x for x=%r, y=%r", (x, y))) |
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179 eq(x ^ y, y ^ x, Frm("x ^ y != y ^ x for x=%r, y=%r", (x, y))) |
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180 eq(x ^ y ^ x, y, Frm("x ^ y ^ x != y for x=%r, y=%r", (x, y))) |
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181 eq(x & y, ~(~x | ~y), Frm("x & y != ~(~x | ~y) for x=%r, y=%r", (x, y))) |
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182 eq(x | y, ~(~x & ~y), Frm("x | y != ~(~x & ~y) for x=%r, y=%r", (x, y))) |
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183 eq(x ^ y, (x | y) & ~(x & y), |
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184 Frm("x ^ y != (x | y) & ~(x & y) for x=%r, y=%r", (x, y))) |
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185 eq(x ^ y, (x & ~y) | (~x & y), |
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186 Frm("x ^ y == (x & ~y) | (~x & y) for x=%r, y=%r", (x, y))) |
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187 eq(x ^ y, (x | y) & (~x | ~y), |
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188 Frm("x ^ y == (x | y) & (~x | ~y) for x=%r, y=%r", (x, y))) |
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189 |
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190 def check_bitop_identities_3(self, x, y, z): |
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191 eq = self.assertEqual |
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192 eq((x & y) & z, x & (y & z), |
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193 Frm("(x & y) & z != x & (y & z) for x=%r, y=%r, z=%r", (x, y, z))) |
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194 eq((x | y) | z, x | (y | z), |
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195 Frm("(x | y) | z != x | (y | z) for x=%r, y=%r, z=%r", (x, y, z))) |
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196 eq((x ^ y) ^ z, x ^ (y ^ z), |
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197 Frm("(x ^ y) ^ z != x ^ (y ^ z) for x=%r, y=%r, z=%r", (x, y, z))) |
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198 eq(x & (y | z), (x & y) | (x & z), |
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199 Frm("x & (y | z) != (x & y) | (x & z) for x=%r, y=%r, z=%r", (x, y, z))) |
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200 eq(x | (y & z), (x | y) & (x | z), |
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201 Frm("x | (y & z) != (x | y) & (x | z) for x=%r, y=%r, z=%r", (x, y, z))) |
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202 |
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203 def test_bitop_identities(self): |
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204 for x in special: |
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205 self.check_bitop_identities_1(x) |
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206 digits = range(1, MAXDIGITS+1) |
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207 for lenx in digits: |
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208 x = self.getran(lenx) |
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209 self.check_bitop_identities_1(x) |
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210 for leny in digits: |
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211 y = self.getran(leny) |
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212 self.check_bitop_identities_2(x, y) |
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213 self.check_bitop_identities_3(x, y, self.getran((lenx + leny)//2)) |
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214 |
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215 def slow_format(self, x, base): |
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216 digits = [] |
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217 sign = 0 |
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218 if x < 0: |
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219 sign, x = 1, -x |
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220 while x: |
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221 x, r = divmod(x, base) |
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222 digits.append(int(r)) |
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223 digits.reverse() |
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224 digits = digits or [0] |
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225 return '-'[:sign] + \ |
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226 {2: '0b', 8: '0o', 10: '', 16: '0x'}[base] + \ |
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227 "".join(map(lambda i: "0123456789abcdef"[i], digits)) |
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228 |
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229 def check_format_1(self, x): |
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230 for base, mapper in (8, oct), (10, repr), (16, hex): |
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231 got = mapper(x) |
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232 expected = self.slow_format(x, base) |
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233 msg = Frm("%s returned %r but expected %r for %r", |
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234 mapper.__name__, got, expected, x) |
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235 self.assertEqual(got, expected, msg) |
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236 self.assertEqual(int(got, 0), x, Frm('long("%s", 0) != %r', got, x)) |
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237 # str() has to be checked a little differently since there's no |
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238 # trailing "L" |
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239 got = str(x) |
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240 expected = self.slow_format(x, 10) |
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241 msg = Frm("%s returned %r but expected %r for %r", |
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242 mapper.__name__, got, expected, x) |
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243 self.assertEqual(got, expected, msg) |
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244 |
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245 def test_format(self): |
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246 for x in special: |
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247 self.check_format_1(x) |
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248 for i in range(10): |
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249 for lenx in range(1, MAXDIGITS+1): |
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250 x = self.getran(lenx) |
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251 self.check_format_1(x) |
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252 |
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253 def test_long(self): |
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254 self.assertEqual(int(314), 314) |
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255 self.assertEqual(int(3.14), 3) |
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256 self.assertEqual(int(314), 314) |
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257 # Check that conversion from float truncates towards zero |
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258 self.assertEqual(int(-3.14), -3) |
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259 self.assertEqual(int(3.9), 3) |
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260 self.assertEqual(int(-3.9), -3) |
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261 self.assertEqual(int(3.5), 3) |
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262 self.assertEqual(int(-3.5), -3) |
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263 self.assertEqual(int("-3"), -3) |
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264 # Different base: |
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265 self.assertEqual(int("10",16), 16) |
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266 # Check conversions from string (same test set as for int(), and then some) |
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267 LL = [ |
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268 ('1' + '0'*20, 10**20), |
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269 ('1' + '0'*100, 10**100) |
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270 ] |
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271 L2 = L[:] |
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272 for s, v in L2 + LL: |
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273 for sign in "", "+", "-": |
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274 for prefix in "", " ", "\t", " \t\t ": |
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275 ss = prefix + sign + s |
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276 vv = v |
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277 if sign == "-" and v is not ValueError: |
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278 vv = -v |
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279 try: |
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280 self.assertEqual(int(ss), int(vv)) |
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281 except ValueError: |
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282 pass |
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283 |
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284 self.assertRaises(ValueError, int, '123\0') |
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285 self.assertRaises(ValueError, int, '53', 40) |
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286 # trailing L should no longer be accepted... |
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287 self.assertRaises(ValueError, int, '123L') |
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288 self.assertRaises(ValueError, int, '123l') |
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289 self.assertRaises(ValueError, int, '0L') |
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290 self.assertRaises(ValueError, int, '-37L') |
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291 self.assertRaises(ValueError, int, '0x32L', 16) |
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292 self.assertRaises(ValueError, int, '1L', 21) |
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293 # ... but it's just a normal digit if base >= 22 |
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294 self.assertEqual(int('1L', 22), 43) |
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295 |
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296 self.assertRaises(TypeError, int, 1, 12) |
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297 |
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298 # SF patch #1638879: embedded NULs were not detected with |
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299 # explicit base |
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300 self.assertRaises(ValueError, int, '123\0', 10) |
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301 self.assertRaises(ValueError, int, '123\x00 245', 20) |
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302 |
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303 self.assertEqual(int('100000000000000000000000000000000', 2), |
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304 4294967296) |
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305 self.assertEqual(int('102002022201221111211', 3), 4294967296) |
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306 self.assertEqual(int('10000000000000000', 4), 4294967296) |
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307 self.assertEqual(int('32244002423141', 5), 4294967296) |
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308 self.assertEqual(int('1550104015504', 6), 4294967296) |
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309 self.assertEqual(int('211301422354', 7), 4294967296) |
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310 self.assertEqual(int('40000000000', 8), 4294967296) |
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311 self.assertEqual(int('12068657454', 9), 4294967296) |
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312 self.assertEqual(int('4294967296', 10), 4294967296) |
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313 self.assertEqual(int('1904440554', 11), 4294967296) |
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314 self.assertEqual(int('9ba461594', 12), 4294967296) |
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315 self.assertEqual(int('535a79889', 13), 4294967296) |
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316 self.assertEqual(int('2ca5b7464', 14), 4294967296) |
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317 self.assertEqual(int('1a20dcd81', 15), 4294967296) |
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318 self.assertEqual(int('100000000', 16), 4294967296) |
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319 self.assertEqual(int('a7ffda91', 17), 4294967296) |
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320 self.assertEqual(int('704he7g4', 18), 4294967296) |
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321 self.assertEqual(int('4f5aff66', 19), 4294967296) |
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322 self.assertEqual(int('3723ai4g', 20), 4294967296) |
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323 self.assertEqual(int('281d55i4', 21), 4294967296) |
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324 self.assertEqual(int('1fj8b184', 22), 4294967296) |
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325 self.assertEqual(int('1606k7ic', 23), 4294967296) |
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326 self.assertEqual(int('mb994ag', 24), 4294967296) |
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327 self.assertEqual(int('hek2mgl', 25), 4294967296) |
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328 self.assertEqual(int('dnchbnm', 26), 4294967296) |
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329 self.assertEqual(int('b28jpdm', 27), 4294967296) |
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330 self.assertEqual(int('8pfgih4', 28), 4294967296) |
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331 self.assertEqual(int('76beigg', 29), 4294967296) |
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332 self.assertEqual(int('5qmcpqg', 30), 4294967296) |
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333 self.assertEqual(int('4q0jto4', 31), 4294967296) |
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334 self.assertEqual(int('4000000', 32), 4294967296) |
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335 self.assertEqual(int('3aokq94', 33), 4294967296) |
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336 self.assertEqual(int('2qhxjli', 34), 4294967296) |
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337 self.assertEqual(int('2br45qb', 35), 4294967296) |
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031dfe455585
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338 self.assertEqual(int('1z141z4', 36), 4294967296) |
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339 |
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340 self.assertEqual(int('100000000000000000000000000000001', 2), |
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341 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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342 self.assertEqual(int('102002022201221111212', 3), 4294967297) |
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031dfe455585
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343 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
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344 self.assertEqual(int('32244002423142', 5), 4294967297) |
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031dfe455585
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345 self.assertEqual(int('1550104015505', 6), 4294967297) |
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031dfe455585
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346 self.assertEqual(int('211301422355', 7), 4294967297) |
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031dfe455585
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347 self.assertEqual(int('40000000001', 8), 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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348 self.assertEqual(int('12068657455', 9), 4294967297) |
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031dfe455585
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349 self.assertEqual(int('4294967297', 10), 4294967297) |
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350 self.assertEqual(int('1904440555', 11), 4294967297) |
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031dfe455585
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351 self.assertEqual(int('9ba461595', 12), 4294967297) |
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352 self.assertEqual(int('535a7988a', 13), 4294967297) |
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353 self.assertEqual(int('2ca5b7465', 14), 4294967297) |
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354 self.assertEqual(int('1a20dcd82', 15), 4294967297) |
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355 self.assertEqual(int('100000001', 16), 4294967297) |
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356 self.assertEqual(int('a7ffda92', 17), 4294967297) |
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357 self.assertEqual(int('704he7g5', 18), 4294967297) |
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358 self.assertEqual(int('4f5aff67', 19), 4294967297) |
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359 self.assertEqual(int('3723ai4h', 20), 4294967297) |
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360 self.assertEqual(int('281d55i5', 21), 4294967297) |
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361 self.assertEqual(int('1fj8b185', 22), 4294967297) |
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362 self.assertEqual(int('1606k7id', 23), 4294967297) |
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363 self.assertEqual(int('mb994ah', 24), 4294967297) |
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364 self.assertEqual(int('hek2mgm', 25), 4294967297) |
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365 self.assertEqual(int('dnchbnn', 26), 4294967297) |
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366 self.assertEqual(int('b28jpdn', 27), 4294967297) |
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367 self.assertEqual(int('8pfgih5', 28), 4294967297) |
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368 self.assertEqual(int('76beigh', 29), 4294967297) |
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369 self.assertEqual(int('5qmcpqh', 30), 4294967297) |
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370 self.assertEqual(int('4q0jto5', 31), 4294967297) |
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371 self.assertEqual(int('4000001', 32), 4294967297) |
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372 self.assertEqual(int('3aokq95', 33), 4294967297) |
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373 self.assertEqual(int('2qhxjlj', 34), 4294967297) |
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374 self.assertEqual(int('2br45qc', 35), 4294967297) |
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375 self.assertEqual(int('1z141z5', 36), 4294967297) |
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376 |
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377 |
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378 def test_conversion(self): |
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379 # Test __int__() |
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380 class ClassicMissingMethods: |
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381 pass |
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382 self.assertRaises(TypeError, int, ClassicMissingMethods()) |
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383 |
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384 class MissingMethods(object): |
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385 pass |
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386 self.assertRaises(TypeError, int, MissingMethods()) |
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388 class Foo0: |
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389 def __int__(self): |
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390 return 42 |
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391 |
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392 class Foo1(object): |
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393 def __int__(self): |
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394 return 42 |
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395 |
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396 class Foo2(int): |
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397 def __int__(self): |
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398 return 42 |
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399 |
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400 class Foo3(int): |
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401 def __int__(self): |
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402 return self |
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403 |
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404 class Foo4(int): |
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405 def __int__(self): |
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406 return 42 |
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407 |
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408 class Foo5(int): |
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409 def __int__(self): |
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410 return 42. |
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411 |
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412 self.assertEqual(int(Foo0()), 42) |
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413 self.assertEqual(int(Foo1()), 42) |
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414 self.assertEqual(int(Foo2()), 42) |
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415 self.assertEqual(int(Foo3()), 0) |
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416 self.assertEqual(int(Foo4()), 42) |
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417 self.assertRaises(TypeError, int, Foo5()) |
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418 |
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419 class Classic: |
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420 pass |
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421 for base in (object, Classic): |
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422 class IntOverridesTrunc(base): |
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423 def __int__(self): |
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424 return 42 |
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425 def __trunc__(self): |
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426 return -12 |
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427 self.assertEqual(int(IntOverridesTrunc()), 42) |
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428 |
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429 class JustTrunc(base): |
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430 def __trunc__(self): |
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431 return 42 |
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432 self.assertEqual(int(JustTrunc()), 42) |
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433 |
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434 class JustLong(base): |
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435 # test that __long__ no longer used in 3.x |
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436 def __long__(self): |
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437 return 42 |
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438 self.assertRaises(TypeError, int, JustLong()) |
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439 |
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440 class LongTrunc(base): |
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441 # __long__ should be ignored in 3.x |
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442 def __long__(self): |
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443 return 42 |
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444 def __trunc__(self): |
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445 return 1729 |
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446 self.assertEqual(int(LongTrunc()), 1729) |
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447 |
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448 for trunc_result_base in (object, Classic): |
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449 class Integral(trunc_result_base): |
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450 def __int__(self): |
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451 return 42 |
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452 |
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453 class TruncReturnsNonLong(base): |
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454 def __trunc__(self): |
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455 return Integral() |
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456 self.assertEqual(int(TruncReturnsNonLong()), 42) |
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457 |
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458 class NonIntegral(trunc_result_base): |
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459 def __trunc__(self): |
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460 # Check that we avoid infinite recursion. |
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461 return NonIntegral() |
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462 |
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463 class TruncReturnsNonIntegral(base): |
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464 def __trunc__(self): |
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465 return NonIntegral() |
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466 try: |
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467 int(TruncReturnsNonIntegral()) |
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468 except TypeError as e: |
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469 self.assertEquals(str(e), |
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470 "__trunc__ returned non-Integral" |
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471 " (type NonIntegral)") |
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472 else: |
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473 self.fail("Failed to raise TypeError with %s" % |
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474 ((base, trunc_result_base),)) |
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475 |
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476 def test_misc(self): |
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477 |
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478 # check the extremes in int<->long conversion |
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479 hugepos = sys.maxsize |
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480 hugeneg = -hugepos - 1 |
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481 hugepos_aslong = int(hugepos) |
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482 hugeneg_aslong = int(hugeneg) |
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483 self.assertEqual(hugepos, hugepos_aslong, "long(sys.maxsize) != sys.maxsize") |
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484 self.assertEqual(hugeneg, hugeneg_aslong, |
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485 "long(-sys.maxsize-1) != -sys.maxsize-1") |
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486 |
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487 # long -> int should not fail for hugepos_aslong or hugeneg_aslong |
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488 x = int(hugepos_aslong) |
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489 try: |
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490 self.assertEqual(x, hugepos, |
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491 "converting sys.maxsize to long and back to int fails") |
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492 except OverflowError: |
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493 self.fail("int(long(sys.maxsize)) overflowed!") |
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494 if not isinstance(x, int): |
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495 raise TestFailed("int(long(sys.maxsize)) should have returned int") |
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496 x = int(hugeneg_aslong) |
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497 try: |
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498 self.assertEqual(x, hugeneg, |
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499 "converting -sys.maxsize-1 to long and back to int fails") |
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500 except OverflowError: |
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501 self.fail("int(long(-sys.maxsize-1)) overflowed!") |
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502 if not isinstance(x, int): |
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503 raise TestFailed("int(long(-sys.maxsize-1)) should have " |
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504 "returned int") |
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505 # but long -> int should overflow for hugepos+1 and hugeneg-1 |
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506 x = hugepos_aslong + 1 |
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507 try: |
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508 y = int(x) |
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509 except OverflowError: |
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510 self.fail("int(long(sys.maxsize) + 1) mustn't overflow") |
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511 self.assert_(isinstance(y, int), |
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512 "int(long(sys.maxsize) + 1) should have returned long") |
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513 |
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514 x = hugeneg_aslong - 1 |
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515 try: |
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516 y = int(x) |
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517 except OverflowError: |
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518 self.fail("int(long(-sys.maxsize-1) - 1) mustn't overflow") |
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519 self.assert_(isinstance(y, int), |
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520 "int(long(-sys.maxsize-1) - 1) should have returned long") |
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521 |
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522 class long2(int): |
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523 pass |
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524 x = long2(1<<100) |
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525 y = int(x) |
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526 self.assert_(type(y) is int, |
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527 "overflowing int conversion must return long not long subtype") |
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528 |
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529 # ----------------------------------- tests of auto int->long conversion |
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530 |
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531 def test_auto_overflow(self): |
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532 import math, sys |
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533 |
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534 special = [0, 1, 2, 3, sys.maxsize-1, sys.maxsize, sys.maxsize+1] |
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535 sqrt = int(math.sqrt(sys.maxsize)) |
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536 special.extend([sqrt-1, sqrt, sqrt+1]) |
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537 special.extend([-i for i in special]) |
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538 |
|
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539 def checkit(*args): |
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540 # Heavy use of nested scopes here! |
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541 self.assertEqual(got, expected, |
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542 Frm("for %r expected %r got %r", args, expected, got)) |
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543 |
|
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544 for x in special: |
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545 longx = int(x) |
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546 |
|
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547 expected = -longx |
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548 got = -x |
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549 checkit('-', x) |
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550 |
|
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551 for y in special: |
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552 longy = int(y) |
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553 |
|
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554 expected = longx + longy |
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Port test_long.py to unittest.
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555 got = x + y |
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556 checkit(x, '+', y) |
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557 |
|
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558 expected = longx - longy |
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559 got = x - y |
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560 checkit(x, '-', y) |
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561 |
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562 expected = longx * longy |
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563 got = x * y |
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564 checkit(x, '*', y) |
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565 |
|
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Port test_long.py to unittest.
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566 if y: |
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567 expected = longx / longy |
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568 got = x / y |
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569 checkit(x, '/', y) |
|
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50019cb784e0
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570 |
|
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571 expected = longx // longy |
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572 got = x // y |
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573 checkit(x, '//', y) |
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574 |
|
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575 expected = divmod(longx, longy) |
|
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Port test_long.py to unittest.
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576 got = divmod(longx, longy) |
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577 checkit(x, 'divmod', y) |
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|
578 |
|
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579 if abs(y) < 5 and not (x == 0 and y < 0): |
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580 expected = longx ** longy |
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581 got = x ** y |
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582 checkit(x, '**', y) |
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583 |
|
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584 for z in special: |
|
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585 if z != 0 : |
|
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586 if y >= 0: |
|
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587 expected = pow(longx, longy, int(z)) |
|
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588 got = pow(x, y, z) |
|
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589 checkit('pow', x, y, '%', z) |
|
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590 else: |
|
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591 self.assertRaises(TypeError, pow,longx, longy, int(z)) |
|
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|
592 |
|
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593 def test_float_overflow(self): |
|
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Port test_long.py to unittest.
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594 import math |
|
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595 |
|
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596 for x in -2.0, -1.0, 0.0, 1.0, 2.0: |
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597 self.assertEqual(float(int(x)), x) |
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|
598 |
|
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Port test_long.py to unittest.
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599 shuge = '12345' * 120 |
|
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|
600 huge = 1 << 30000 |
|
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601 mhuge = -huge |
|
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602 namespace = {'huge': huge, 'mhuge': mhuge, 'shuge': shuge, 'math': math} |
|
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603 for test in ["float(huge)", "float(mhuge)", |
|
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604 "complex(huge)", "complex(mhuge)", |
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605 "complex(huge, 1)", "complex(mhuge, 1)", |
|
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606 "complex(1, huge)", "complex(1, mhuge)", |
|
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607 "1. + huge", "huge + 1.", "1. + mhuge", "mhuge + 1.", |
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608 "1. - huge", "huge - 1.", "1. - mhuge", "mhuge - 1.", |
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609 "1. * huge", "huge * 1.", "1. * mhuge", "mhuge * 1.", |
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610 "1. // huge", "huge // 1.", "1. // mhuge", "mhuge // 1.", |
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611 "1. / huge", "huge / 1.", "1. / mhuge", "mhuge / 1.", |
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612 "1. ** huge", "huge ** 1.", "1. ** mhuge", "mhuge ** 1.", |
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613 "math.sin(huge)", "math.sin(mhuge)", |
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614 "math.sqrt(huge)", "math.sqrt(mhuge)", # should do better |
|
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615 # math.floor() of an int returns an int now |
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616 ##"math.floor(huge)", "math.floor(mhuge)", |
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617 ]: |
|
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Whitespace normalization.
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|
618 |
|
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619 self.assertRaises(OverflowError, eval, test, namespace) |
|
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620 |
|
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621 # XXX Perhaps float(shuge) can raise OverflowError on some box? |
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622 # The comparison should not. |
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623 self.assertNotEqual(float(shuge), int(shuge), |
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624 "float(shuge) should not equal int(shuge)") |
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625 |
|
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626 def test_logs(self): |
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627 import math |
|
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628 |
|
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629 LOG10E = math.log10(math.e) |
|
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630 |
|
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Merged revisions 55007-55179 via svnmerge from
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631 for exp in list(range(10)) + [100, 1000, 10000]: |
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632 value = 10 ** exp |
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633 log10 = math.log10(value) |
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634 self.assertAlmostEqual(log10, exp) |
|
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635 |
|
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636 # log10(value) == exp, so log(value) == log10(value)/log10(e) == |
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637 # exp/LOG10E |
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638 expected = exp / LOG10E |
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639 log = math.log(value) |
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640 self.assertAlmostEqual(log, expected) |
|
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641 |
|
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642 for bad in -(1 << 10000), -2, 0: |
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643 self.assertRaises(ValueError, math.log, bad) |
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644 self.assertRaises(ValueError, math.log10, bad) |
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645 |
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646 def test_mixed_compares(self): |
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647 eq = self.assertEqual |
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648 import math |
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649 |
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650 # We're mostly concerned with that mixing floats and longs does the |
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651 # right stuff, even when longs are too large to fit in a float. |
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652 # The safest way to check the results is to use an entirely different |
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653 # method, which we do here via a skeletal rational class (which |
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654 # represents all Python ints, longs and floats exactly). |
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655 class Rat: |
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656 def __init__(self, value): |
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657 if isinstance(value, int): |
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658 self.n = value |
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659 self.d = 1 |
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660 elif isinstance(value, float): |
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661 # Convert to exact rational equivalent. |
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662 f, e = math.frexp(abs(value)) |
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663 assert f == 0 or 0.5 <= f < 1.0 |
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664 # |value| = f * 2**e exactly |
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665 |
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666 # Suck up CHUNK bits at a time; 28 is enough so that we suck |
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667 # up all bits in 2 iterations for all known binary double- |
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668 # precision formats, and small enough to fit in an int. |
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669 CHUNK = 28 |
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670 top = 0 |
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671 # invariant: |value| = (top + f) * 2**e exactly |
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672 while f: |
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673 f = math.ldexp(f, CHUNK) |
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674 digit = int(f) |
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675 assert digit >> CHUNK == 0 |
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676 top = (top << CHUNK) | digit |
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677 f -= digit |
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678 assert 0.0 <= f < 1.0 |
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679 e -= CHUNK |
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680 |
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681 # Now |value| = top * 2**e exactly. |
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682 if e >= 0: |
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683 n = top << e |
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684 d = 1 |
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685 else: |
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686 n = top |
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687 d = 1 << -e |
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688 if value < 0: |
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689 n = -n |
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690 self.n = n |
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691 self.d = d |
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692 assert float(n) / float(d) == value |
|
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693 else: |
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694 raise TypeError("can't deal with %r" % val) |
|
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695 |
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696 def _cmp__(self, other): |
|
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697 if not isinstance(other, Rat): |
|
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698 other = Rat(other) |
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699 x, y = self.n * other.d, self.d * other.n |
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700 return (x > y) - (x < y) |
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701 def __eq__(self, other): |
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702 return self._cmp__(other) == 0 |
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703 def __ne__(self, other): |
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704 return self._cmp__(other) != 0 |
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705 def __ge__(self, other): |
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706 return self._cmp__(other) >= 0 |
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707 def __gt__(self, other): |
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708 return self._cmp__(other) > 0 |
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709 def __le__(self, other): |
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710 return self._cmp__(other) <= 0 |
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711 def __lt__(self, other): |
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712 return self._cmp__(other) < 0 |
|
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|
713 |
|
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714 cases = [0, 0.001, 0.99, 1.0, 1.5, 1e20, 1e200] |
|
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715 # 2**48 is an important boundary in the internals. 2**53 is an |
|
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716 # important boundary for IEEE double precision. |
|
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717 for t in 2.0**48, 2.0**50, 2.0**53: |
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718 cases.extend([t - 1.0, t - 0.3, t, t + 0.3, t + 1.0, |
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|
719 int(t-1), int(t), int(t+1)]) |
|
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Removed PyInt_GetMax and sys.maxint
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720 cases.extend([0, 1, 2, sys.maxsize, float(sys.maxsize)]) |
|
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721 # 1L<<20000 should exceed all double formats. long(1e200) is to |
|
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722 # check that we get equality with 1e200 above. |
|
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723 t = int(1e200) |
|
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724 cases.extend([0, 1, 2, 1 << 20000, t-1, t, t+1]) |
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725 cases.extend([-x for x in cases]) |
|
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Port test_long.py to unittest.
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726 for x in cases: |
|
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727 Rx = Rat(x) |
|
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|
728 for y in cases: |
|
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729 Ry = Rat(y) |
|
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730 Rcmp = (Rx > Ry) - (Rx < Ry) |
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|
731 xycmp = (x > y) - (x < y) |
|
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732 eq(Rcmp, xycmp, Frm("%r %r %d %d", x, y, Rcmp, xycmp)) |
|
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733 eq(x == y, Rcmp == 0, Frm("%r == %r %d", x, y, Rcmp)) |
|
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734 eq(x != y, Rcmp != 0, Frm("%r != %r %d", x, y, Rcmp)) |
|
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735 eq(x < y, Rcmp < 0, Frm("%r < %r %d", x, y, Rcmp)) |
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736 eq(x <= y, Rcmp <= 0, Frm("%r <= %r %d", x, y, Rcmp)) |
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737 eq(x > y, Rcmp > 0, Frm("%r > %r %d", x, y, Rcmp)) |
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|
738 eq(x >= y, Rcmp >= 0, Frm("%r >= %r %d", x, y, Rcmp)) |
|
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|
739 |
|
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Renamed test_format to test__format__, since it really tests the __format__ method. It was hiding another method of the same name.
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|
740 def test__format__(self): |
|
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|
741 self.assertEqual(format(123456789, 'd'), '123456789') |
|
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|
742 self.assertEqual(format(123456789, 'd'), '123456789') |
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743 |
| 43097 | 744 # sign and aligning are interdependent |
| 745 self.assertEqual(format(1, "-"), '1') | |
| 746 self.assertEqual(format(-1, "-"), '-1') | |
| 747 self.assertEqual(format(1, "-3"), ' 1') | |
| 748 self.assertEqual(format(-1, "-3"), ' -1') | |
| 749 self.assertEqual(format(1, "+3"), ' +1') | |
| 750 self.assertEqual(format(-1, "+3"), ' -1') | |
| 751 self.assertEqual(format(1, " 3"), ' 1') | |
| 752 self.assertEqual(format(-1, " 3"), ' -1') | |
| 753 self.assertEqual(format(1, " "), ' 1') | |
| 754 self.assertEqual(format(-1, " "), '-1') | |
| 755 | |
|
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|
756 # hex |
|
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|
757 self.assertEqual(format(3, "x"), "3") |
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758 self.assertEqual(format(3, "X"), "3") |
|
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759 self.assertEqual(format(1234, "x"), "4d2") |
|
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760 self.assertEqual(format(-1234, "x"), "-4d2") |
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761 self.assertEqual(format(1234, "8x"), " 4d2") |
| 43097 | 762 self.assertEqual(format(-1234, "8x"), " -4d2") |
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763 self.assertEqual(format(1234, "x"), "4d2") |
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764 self.assertEqual(format(-1234, "x"), "-4d2") |
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765 self.assertEqual(format(-3, "x"), "-3") |
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766 self.assertEqual(format(-3, "X"), "-3") |
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767 self.assertEqual(format(int('be', 16), "x"), "be") |
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768 self.assertEqual(format(int('be', 16), "X"), "BE") |
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769 self.assertEqual(format(-int('be', 16), "x"), "-be") |
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770 self.assertEqual(format(-int('be', 16), "X"), "-BE") |
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771 |
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772 # octal |
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773 self.assertEqual(format(3, "b"), "11") |
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774 self.assertEqual(format(-3, "b"), "-11") |
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775 self.assertEqual(format(1234, "b"), "10011010010") |
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776 self.assertEqual(format(-1234, "b"), "-10011010010") |
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777 self.assertEqual(format(1234, "-b"), "10011010010") |
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778 self.assertEqual(format(-1234, "-b"), "-10011010010") |
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779 self.assertEqual(format(1234, " b"), " 10011010010") |
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780 self.assertEqual(format(-1234, " b"), "-10011010010") |
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781 self.assertEqual(format(1234, "+b"), "+10011010010") |
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782 self.assertEqual(format(-1234, "+b"), "-10011010010") |
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783 |
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784 # make sure these are errors |
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785 self.assertRaises(ValueError, format, 3, "1.3") # precision disallowed |
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786 self.assertRaises(ValueError, format, 3, "+c") # sign not allowed |
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787 # with 'c' |
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788 |
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789 # ensure that only int and float type specifiers work |
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790 for format_spec in ([chr(x) for x in range(ord('a'), ord('z')+1)] + |
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791 [chr(x) for x in range(ord('A'), ord('Z')+1)]): |
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792 if not format_spec in 'bcdoxXeEfFgGn%': |
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793 self.assertRaises(ValueError, format, 0, format_spec) |
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794 self.assertRaises(ValueError, format, 1, format_spec) |
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795 self.assertRaises(ValueError, format, -1, format_spec) |
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796 self.assertRaises(ValueError, format, 2**100, format_spec) |
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797 self.assertRaises(ValueError, format, -(2**100), format_spec) |
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798 |
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799 # ensure that float type specifiers work; format converts |
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800 # the int to a float |
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801 for format_spec in 'eEfFgG%': |
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802 for value in [0, 1, -1, 100, -100, 1234567890, -1234567890]: |
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803 self.assertEqual(format(value, format_spec), |
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804 format(float(value), format_spec)) |
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805 |
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806 def test_nan_inf(self): |
| 44463 | 807 self.assertRaises(OverflowError, int, float('inf')) |
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808 self.assertRaises(OverflowError, int, float('-inf')) |
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809 self.assertRaises(ValueError, int, float('nan')) |
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810 |
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811 def test_true_division(self): |
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812 huge = 1 << 40000 |
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813 mhuge = -huge |
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814 self.assertEqual(huge / huge, 1.0) |
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815 self.assertEqual(mhuge / mhuge, 1.0) |
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816 self.assertEqual(huge / mhuge, -1.0) |
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817 self.assertEqual(mhuge / huge, -1.0) |
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818 self.assertEqual(1 / huge, 0.0) |
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819 self.assertEqual(1 / huge, 0.0) |
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820 self.assertEqual(1 / mhuge, 0.0) |
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821 self.assertEqual(1 / mhuge, 0.0) |
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822 self.assertEqual((666 * huge + (huge >> 1)) / huge, 666.5) |
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823 self.assertEqual((666 * mhuge + (mhuge >> 1)) / mhuge, 666.5) |
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824 self.assertEqual((666 * huge + (huge >> 1)) / mhuge, -666.5) |
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825 self.assertEqual((666 * mhuge + (mhuge >> 1)) / huge, -666.5) |
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826 self.assertEqual(huge / (huge << 1), 0.5) |
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827 self.assertEqual((1000000 * huge) / huge, 1000000) |
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828 |
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829 namespace = {'huge': huge, 'mhuge': mhuge} |
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830 |
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831 for overflow in ["float(huge)", "float(mhuge)", |
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832 "huge / 1", "huge / 2", "huge / -1", "huge / -2", |
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833 "mhuge / 100", "mhuge / 200"]: |
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834 self.assertRaises(OverflowError, eval, overflow, namespace) |
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835 |
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836 for underflow in ["1 / huge", "2 / huge", "-1 / huge", "-2 / huge", |
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837 "100 / mhuge", "200 / mhuge"]: |
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838 result = eval(underflow, namespace) |
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839 self.assertEqual(result, 0.0, |
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840 "expected underflow to 0 from %r" % underflow) |
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841 |
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842 for zero in ["huge / 0", "mhuge / 0"]: |
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843 self.assertRaises(ZeroDivisionError, eval, zero, namespace) |
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844 |
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845 |
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846 def test_small_ints(self): |
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847 for i in range(-5, 257): |
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848 self.assertTrue(i is i + 0) |
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849 self.assertTrue(i is i * 1) |
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850 self.assertTrue(i is i - 0) |
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851 self.assertTrue(i is i // 1) |
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852 self.assertTrue(i is i & -1) |
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853 self.assertTrue(i is i | 0) |
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854 self.assertTrue(i is i ^ 0) |
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855 self.assertTrue(i is ~~i) |
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856 self.assertTrue(i is i**1) |
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857 self.assertTrue(i is int(str(i))) |
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858 self.assertTrue(i is i<<2>>2, str(i)) |
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859 # corner cases |
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860 i = 1 << 70 |
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861 self.assertTrue(i - i is 0) |
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862 self.assertTrue(0 * i is 0) |
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863 |
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864 def test_round(self): |
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865 # check round-half-even algorithm. For round to nearest ten; |
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866 # rounding map is invariant under adding multiples of 20 |
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867 test_dict = {0:0, 1:0, 2:0, 3:0, 4:0, 5:0, |
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868 6:10, 7:10, 8:10, 9:10, 10:10, 11:10, 12:10, 13:10, 14:10, |
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869 15:20, 16:20, 17:20, 18:20, 19:20} |
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870 for offset in range(-520, 520, 20): |
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871 for k, v in test_dict.items(): |
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872 got = round(k+offset, -1) |
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873 expected = v+offset |
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874 self.assertEqual(got, expected) |
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875 self.assert_(type(got) is int) |
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876 |
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877 # larger second argument |
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878 self.assertEqual(round(-150, -2), -200) |
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879 self.assertEqual(round(-149, -2), -100) |
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880 self.assertEqual(round(-51, -2), -100) |
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881 self.assertEqual(round(-50, -2), 0) |
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882 self.assertEqual(round(-49, -2), 0) |
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883 self.assertEqual(round(-1, -2), 0) |
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884 self.assertEqual(round(0, -2), 0) |
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885 self.assertEqual(round(1, -2), 0) |
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886 self.assertEqual(round(49, -2), 0) |
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887 self.assertEqual(round(50, -2), 0) |
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888 self.assertEqual(round(51, -2), 100) |
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889 self.assertEqual(round(149, -2), 100) |
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890 self.assertEqual(round(150, -2), 200) |
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891 self.assertEqual(round(250, -2), 200) |
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892 self.assertEqual(round(251, -2), 300) |
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893 self.assertEqual(round(172500, -3), 172000) |
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894 self.assertEqual(round(173500, -3), 174000) |
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895 self.assertEqual(round(31415926535, -1), 31415926540) |
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896 self.assertEqual(round(31415926535, -2), 31415926500) |
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897 self.assertEqual(round(31415926535, -3), 31415927000) |
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898 self.assertEqual(round(31415926535, -4), 31415930000) |
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899 self.assertEqual(round(31415926535, -5), 31415900000) |
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900 self.assertEqual(round(31415926535, -6), 31416000000) |
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901 self.assertEqual(round(31415926535, -7), 31420000000) |
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902 self.assertEqual(round(31415926535, -8), 31400000000) |
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903 self.assertEqual(round(31415926535, -9), 31000000000) |
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904 self.assertEqual(round(31415926535, -10), 30000000000) |
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905 self.assertEqual(round(31415926535, -11), 0) |
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906 self.assertEqual(round(31415926535, -12), 0) |
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907 self.assertEqual(round(31415926535, -999), 0) |
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908 |
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909 # should get correct results even for huge inputs |
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910 for k in range(10, 100): |
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911 got = round(10**k + 324678, -3) |
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912 expect = 10**k + 325000 |
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913 self.assertEqual(got, expect) |
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914 self.assert_(type(got) is int) |
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915 |
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916 # nonnegative second argument: round(x, n) should just return x |
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917 for n in range(5): |
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918 for i in range(100): |
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919 x = random.randrange(-10000, 10000) |
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920 got = round(x, n) |
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921 self.assertEqual(got, x) |
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922 self.assert_(type(got) is int) |
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923 for huge_n in 2**31-1, 2**31, 2**63-1, 2**63, 2**100, 10**100: |
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924 self.assertEqual(round(8979323, huge_n), 8979323) |
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925 |
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926 # omitted second argument |
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927 for i in range(100): |
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928 x = random.randrange(-10000, 10000) |
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929 got = round(x) |
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930 self.assertEqual(got, x) |
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931 self.assert_(type(got) is int) |
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932 |
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933 # bad second argument |
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934 bad_exponents = ('brian', 2.0, 0j, None) |
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935 for e in bad_exponents: |
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936 self.assertRaises(TypeError, round, 3, e) |
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937 |
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938 |
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939 |
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940 def test_main(): |
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941 support.run_unittest(LongTest) |
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942 |
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943 if __name__ == "__main__": |
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944 test_main() |
