Mercurial > cpython-lru_cache-weakref
annotate Python/pyhash.c @ 87353:c8a84eed9155
Remove a commented-out line
| author | Brett Cannon <brett@python.org> |
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| date | Fri, 22 Nov 2013 12:07:43 -0500 |
| parents | 961d832d8734 |
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| rev | line source |
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ssue #19183: Implement PEP 456 'secure and interchangeable hash algorithm'.
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1 /* Set of hash utility functions to help maintaining the invariant that |
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2 if a==b then hash(a)==hash(b) |
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3 |
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4 All the utility functions (_Py_Hash*()) return "-1" to signify an error. |
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5 */ |
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6 #include "Python.h" |
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7 |
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8 #ifdef __APPLE__ |
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9 # include <libkern/OSByteOrder.h> |
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10 #elif defined(HAVE_LE64TOH) && defined(HAVE_ENDIAN_H) |
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11 # include <endian.h> |
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12 #elif defined(HAVE_LE64TOH) && defined(HAVE_SYS_ENDIAN_H) |
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13 # include <sys/endian.h> |
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14 #endif |
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15 |
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16 #ifdef __cplusplus |
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17 extern "C" { |
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18 #endif |
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19 |
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20 _Py_HashSecret_t _Py_HashSecret; |
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21 |
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22 #if Py_HASH_ALGORITHM == Py_HASH_EXTERNAL |
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23 extern PyHash_FuncDef PyHash_Func; |
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24 #else |
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25 static PyHash_FuncDef PyHash_Func; |
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26 #endif |
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27 |
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28 /* Count _Py_HashBytes() calls */ |
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29 #ifdef Py_HASH_STATS |
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30 #define Py_HASH_STATS_MAX 32 |
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31 static Py_ssize_t hashstats[Py_HASH_STATS_MAX + 1] = {0}; |
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32 #endif |
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33 |
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34 /* For numeric types, the hash of a number x is based on the reduction |
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35 of x modulo the prime P = 2**_PyHASH_BITS - 1. It's designed so that |
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36 hash(x) == hash(y) whenever x and y are numerically equal, even if |
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37 x and y have different types. |
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38 |
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39 A quick summary of the hashing strategy: |
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40 |
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41 (1) First define the 'reduction of x modulo P' for any rational |
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42 number x; this is a standard extension of the usual notion of |
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43 reduction modulo P for integers. If x == p/q (written in lowest |
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44 terms), the reduction is interpreted as the reduction of p times |
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45 the inverse of the reduction of q, all modulo P; if q is exactly |
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46 divisible by P then define the reduction to be infinity. So we've |
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47 got a well-defined map |
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48 |
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49 reduce : { rational numbers } -> { 0, 1, 2, ..., P-1, infinity }. |
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50 |
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51 (2) Now for a rational number x, define hash(x) by: |
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52 |
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53 reduce(x) if x >= 0 |
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54 -reduce(-x) if x < 0 |
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55 |
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56 If the result of the reduction is infinity (this is impossible for |
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57 integers, floats and Decimals) then use the predefined hash value |
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58 _PyHASH_INF for x >= 0, or -_PyHASH_INF for x < 0, instead. |
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59 _PyHASH_INF, -_PyHASH_INF and _PyHASH_NAN are also used for the |
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60 hashes of float and Decimal infinities and nans. |
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61 |
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62 A selling point for the above strategy is that it makes it possible |
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63 to compute hashes of decimal and binary floating-point numbers |
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64 efficiently, even if the exponent of the binary or decimal number |
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65 is large. The key point is that |
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66 |
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67 reduce(x * y) == reduce(x) * reduce(y) (modulo _PyHASH_MODULUS) |
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68 |
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69 provided that {reduce(x), reduce(y)} != {0, infinity}. The reduction of a |
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70 binary or decimal float is never infinity, since the denominator is a power |
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71 of 2 (for binary) or a divisor of a power of 10 (for decimal). So we have, |
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72 for nonnegative x, |
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73 |
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74 reduce(x * 2**e) == reduce(x) * reduce(2**e) % _PyHASH_MODULUS |
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75 |
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76 reduce(x * 10**e) == reduce(x) * reduce(10**e) % _PyHASH_MODULUS |
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77 |
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78 and reduce(10**e) can be computed efficiently by the usual modular |
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79 exponentiation algorithm. For reduce(2**e) it's even better: since |
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80 P is of the form 2**n-1, reduce(2**e) is 2**(e mod n), and multiplication |
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81 by 2**(e mod n) modulo 2**n-1 just amounts to a rotation of bits. |
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82 |
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83 */ |
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84 |
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85 Py_hash_t |
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86 _Py_HashDouble(double v) |
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87 { |
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88 int e, sign; |
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89 double m; |
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90 Py_uhash_t x, y; |
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91 |
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92 if (!Py_IS_FINITE(v)) { |
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93 if (Py_IS_INFINITY(v)) |
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94 return v > 0 ? _PyHASH_INF : -_PyHASH_INF; |
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95 else |
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96 return _PyHASH_NAN; |
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97 } |
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98 |
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99 m = frexp(v, &e); |
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100 |
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101 sign = 1; |
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102 if (m < 0) { |
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103 sign = -1; |
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104 m = -m; |
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105 } |
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106 |
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107 /* process 28 bits at a time; this should work well both for binary |
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108 and hexadecimal floating point. */ |
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109 x = 0; |
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110 while (m) { |
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111 x = ((x << 28) & _PyHASH_MODULUS) | x >> (_PyHASH_BITS - 28); |
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112 m *= 268435456.0; /* 2**28 */ |
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113 e -= 28; |
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114 y = (Py_uhash_t)m; /* pull out integer part */ |
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115 m -= y; |
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116 x += y; |
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117 if (x >= _PyHASH_MODULUS) |
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118 x -= _PyHASH_MODULUS; |
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119 } |
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120 |
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121 /* adjust for the exponent; first reduce it modulo _PyHASH_BITS */ |
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122 e = e >= 0 ? e % _PyHASH_BITS : _PyHASH_BITS-1-((-1-e) % _PyHASH_BITS); |
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123 x = ((x << e) & _PyHASH_MODULUS) | x >> (_PyHASH_BITS - e); |
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124 |
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125 x = x * sign; |
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126 if (x == (Py_uhash_t)-1) |
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127 x = (Py_uhash_t)-2; |
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128 return (Py_hash_t)x; |
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129 } |
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130 |
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131 Py_hash_t |
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132 _Py_HashPointer(void *p) |
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133 { |
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134 Py_hash_t x; |
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135 size_t y = (size_t)p; |
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136 /* bottom 3 or 4 bits are likely to be 0; rotate y by 4 to avoid |
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137 excessive hash collisions for dicts and sets */ |
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138 y = (y >> 4) | (y << (8 * SIZEOF_VOID_P - 4)); |
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139 x = (Py_hash_t)y; |
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140 if (x == -1) |
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141 x = -2; |
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142 return x; |
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143 } |
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144 |
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145 Py_hash_t |
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146 _Py_HashBytes(const void *src, Py_ssize_t len) |
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147 { |
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148 Py_hash_t x; |
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149 /* |
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150 We make the hash of the empty string be 0, rather than using |
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151 (prefix ^ suffix), since this slightly obfuscates the hash secret |
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152 */ |
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153 if (len == 0) { |
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154 return 0; |
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155 } |
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156 |
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157 #ifdef Py_HASH_STATS |
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158 hashstats[(len <= Py_HASH_STATS_MAX) ? len : 0]++; |
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159 #endif |
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160 |
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161 #if Py_HASH_CUTOFF > 0 |
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162 if (len < Py_HASH_CUTOFF) { |
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163 /* Optimize hashing of very small strings with inline DJBX33A. */ |
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164 Py_uhash_t hash; |
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165 const unsigned char *p = src; |
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166 hash = 5381; /* DJBX33A starts with 5381 */ |
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167 |
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168 switch(len) { |
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169 /* ((hash << 5) + hash) + *p == hash * 33 + *p */ |
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170 case 7: hash = ((hash << 5) + hash) + *p++; /* fallthrough */ |
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171 case 6: hash = ((hash << 5) + hash) + *p++; /* fallthrough */ |
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172 case 5: hash = ((hash << 5) + hash) + *p++; /* fallthrough */ |
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173 case 4: hash = ((hash << 5) + hash) + *p++; /* fallthrough */ |
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174 case 3: hash = ((hash << 5) + hash) + *p++; /* fallthrough */ |
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175 case 2: hash = ((hash << 5) + hash) + *p++; /* fallthrough */ |
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176 case 1: hash = ((hash << 5) + hash) + *p++; break; |
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177 default: |
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178 assert(0); |
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179 } |
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180 hash ^= len; |
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181 hash ^= (Py_uhash_t) _Py_HashSecret.djbx33a.suffix; |
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182 x = (Py_hash_t)hash; |
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183 } |
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184 else |
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185 #endif /* Py_HASH_CUTOFF */ |
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186 x = PyHash_Func.hash(src, len); |
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187 |
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188 if (x == -1) |
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189 return -2; |
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190 return x; |
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191 } |
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192 |
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193 void |
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194 _PyHash_Fini(void) |
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195 { |
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196 #ifdef Py_HASH_STATS |
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197 int i; |
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198 Py_ssize_t total = 0; |
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199 char *fmt = "%2i %8" PY_FORMAT_SIZE_T "d %8" PY_FORMAT_SIZE_T "d\n"; |
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200 |
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201 fprintf(stderr, "len calls total\n"); |
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202 for (i = 1; i <= Py_HASH_STATS_MAX; i++) { |
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203 total += hashstats[i]; |
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204 fprintf(stderr, fmt, i, hashstats[i], total); |
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205 } |
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206 total += hashstats[0]; |
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207 fprintf(stderr, "> %8" PY_FORMAT_SIZE_T "d %8" PY_FORMAT_SIZE_T "d\n", |
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208 hashstats[0], total); |
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209 #endif |
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210 } |
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211 |
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212 PyHash_FuncDef * |
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213 PyHash_GetFuncDef(void) |
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214 { |
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215 return &PyHash_Func; |
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216 } |
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217 |
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218 /* Optimized memcpy() for Windows */ |
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219 #ifdef _MSC_VER |
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220 # if SIZEOF_PY_UHASH_T == 4 |
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221 # define PY_UHASH_CPY(dst, src) do { \ |
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222 dst[0] = src[0]; dst[1] = src[1]; dst[2] = src[2]; dst[3] = src[3]; \ |
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223 } while(0) |
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224 # elif SIZEOF_PY_UHASH_T == 8 |
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225 # define PY_UHASH_CPY(dst, src) do { \ |
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226 dst[0] = src[0]; dst[1] = src[1]; dst[2] = src[2]; dst[3] = src[3]; \ |
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227 dst[4] = src[4]; dst[5] = src[5]; dst[6] = src[6]; dst[7] = src[7]; \ |
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228 } while(0) |
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229 # else |
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230 # error SIZEOF_PY_UHASH_T must be 4 or 8 |
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231 # endif /* SIZEOF_PY_UHASH_T */ |
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232 #else /* not Windows */ |
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233 # define PY_UHASH_CPY(dst, src) memcpy(dst, src, SIZEOF_PY_UHASH_T) |
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234 #endif /* _MSC_VER */ |
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235 |
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236 |
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237 #if Py_HASH_ALGORITHM == Py_HASH_FNV |
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238 /* ************************************************************************** |
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239 * Modified Fowler-Noll-Vo (FNV) hash function |
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240 */ |
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241 static Py_hash_t |
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242 fnv(const void *src, Py_ssize_t len) |
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243 { |
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244 const unsigned char *p = src; |
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245 Py_uhash_t x; |
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246 Py_ssize_t remainder, blocks; |
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247 union { |
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248 Py_uhash_t value; |
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249 unsigned char bytes[SIZEOF_PY_UHASH_T]; |
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250 } block; |
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251 |
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252 #ifdef Py_DEBUG |
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253 assert(_Py_HashSecret_Initialized); |
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254 #endif |
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255 remainder = len % SIZEOF_PY_UHASH_T; |
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256 if (remainder == 0) { |
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257 /* Process at least one block byte by byte to reduce hash collisions |
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258 * for strings with common prefixes. */ |
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259 remainder = SIZEOF_PY_UHASH_T; |
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260 } |
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261 blocks = (len - remainder) / SIZEOF_PY_UHASH_T; |
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262 |
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263 x = (Py_uhash_t) _Py_HashSecret.fnv.prefix; |
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264 x ^= (Py_uhash_t) *p << 7; |
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265 while (blocks--) { |
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266 PY_UHASH_CPY(block.bytes, p); |
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267 x = (_PyHASH_MULTIPLIER * x) ^ block.value; |
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268 p += SIZEOF_PY_UHASH_T; |
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269 } |
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270 /* add remainder */ |
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271 for (; remainder > 0; remainder--) |
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272 x = (_PyHASH_MULTIPLIER * x) ^ (Py_uhash_t) *p++; |
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273 x ^= (Py_uhash_t) len; |
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274 x ^= (Py_uhash_t) _Py_HashSecret.fnv.suffix; |
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275 if (x == -1) { |
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276 x = -2; |
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277 } |
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278 return x; |
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279 } |
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280 |
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281 static PyHash_FuncDef PyHash_Func = {fnv, "fnv", 8 * SIZEOF_PY_HASH_T, |
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282 16 * SIZEOF_PY_HASH_T}; |
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283 |
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284 #endif /* Py_HASH_ALGORITHM == Py_HASH_FNV */ |
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285 |
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286 |
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287 #if Py_HASH_ALGORITHM == Py_HASH_SIPHASH24 |
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288 /* ************************************************************************** |
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289 <MIT License> |
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290 Copyright (c) 2013 Marek Majkowski <marek@popcount.org> |
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291 |
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292 Permission is hereby granted, free of charge, to any person obtaining a copy |
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293 of this software and associated documentation files (the "Software"), to deal |
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294 in the Software without restriction, including without limitation the rights |
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295 to use, copy, modify, merge, publish, distribute, sublicense, and/or sell |
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296 copies of the Software, and to permit persons to whom the Software is |
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297 furnished to do so, subject to the following conditions: |
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298 |
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299 The above copyright notice and this permission notice shall be included in |
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300 all copies or substantial portions of the Software. |
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301 |
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302 THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
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303 IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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304 FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE |
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305 AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
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306 LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, |
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307 OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN |
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308 THE SOFTWARE. |
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309 </MIT License> |
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310 |
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311 Original location: |
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312 https://github.com/majek/csiphash/ |
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313 |
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314 Solution inspired by code from: |
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315 Samuel Neves (supercop/crypto_auth/siphash24/little) |
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316 djb (supercop/crypto_auth/siphash24/little2) |
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317 Jean-Philippe Aumasson (https://131002.net/siphash/siphash24.c) |
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318 |
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319 Modified for Python by Christian Heimes: |
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320 - C89 / MSVC compatibility |
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321 - PY_UINT64_T, PY_UINT32_T and PY_UINT8_T |
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322 - _rotl64() on Windows |
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323 - letoh64() fallback |
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324 */ |
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325 |
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326 typedef unsigned char PY_UINT8_T; |
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327 |
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328 /* byte swap little endian to host endian |
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329 * Endian conversion not only ensures that the hash function returns the same |
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330 * value on all platforms. It is also required to for a good dispersion of |
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331 * the hash values' least significant bits. |
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332 */ |
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333 #if PY_LITTLE_ENDIAN |
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334 # define _le64toh(x) ((PY_UINT64_T)(x)) |
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335 #elif defined(__APPLE__) |
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336 # define _le64toh(x) OSSwapLittleToHostInt64(x) |
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337 #elif defined(HAVE_LETOH64) |
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338 # define _le64toh(x) le64toh(x) |
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339 #else |
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340 # define _le64toh(x) (((PY_UINT64_T)(x) << 56) | \ |
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341 (((PY_UINT64_T)(x) << 40) & 0xff000000000000ULL) | \ |
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342 (((PY_UINT64_T)(x) << 24) & 0xff0000000000ULL) | \ |
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343 (((PY_UINT64_T)(x) << 8) & 0xff00000000ULL) | \ |
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344 (((PY_UINT64_T)(x) >> 8) & 0xff000000ULL) | \ |
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345 (((PY_UINT64_T)(x) >> 24) & 0xff0000ULL) | \ |
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346 (((PY_UINT64_T)(x) >> 40) & 0xff00ULL) | \ |
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347 ((PY_UINT64_T)(x) >> 56)) |
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348 #endif |
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349 |
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350 |
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351 #ifdef _MSC_VER |
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352 # define ROTATE(x, b) _rotl64(x, b) |
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353 #else |
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354 # define ROTATE(x, b) (PY_UINT64_T)( ((x) << (b)) | ( (x) >> (64 - (b))) ) |
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355 #endif |
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356 |
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357 #define HALF_ROUND(a,b,c,d,s,t) \ |
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358 a += b; c += d; \ |
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359 b = ROTATE(b, s) ^ a; \ |
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360 d = ROTATE(d, t) ^ c; \ |
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361 a = ROTATE(a, 32); |
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362 |
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363 #define DOUBLE_ROUND(v0,v1,v2,v3) \ |
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364 HALF_ROUND(v0,v1,v2,v3,13,16); \ |
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365 HALF_ROUND(v2,v1,v0,v3,17,21); \ |
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366 HALF_ROUND(v0,v1,v2,v3,13,16); \ |
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367 HALF_ROUND(v2,v1,v0,v3,17,21); |
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368 |
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369 |
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370 static Py_hash_t |
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371 siphash24(const void *src, Py_ssize_t src_sz) { |
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372 PY_UINT64_T k0 = _le64toh(_Py_HashSecret.siphash.k0); |
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373 PY_UINT64_T k1 = _le64toh(_Py_HashSecret.siphash.k1); |
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374 PY_UINT64_T b = (PY_UINT64_T)src_sz << 56; |
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375 const PY_UINT64_T *in = (PY_UINT64_T*)src; |
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376 |
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377 PY_UINT64_T v0 = k0 ^ 0x736f6d6570736575ULL; |
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378 PY_UINT64_T v1 = k1 ^ 0x646f72616e646f6dULL; |
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379 PY_UINT64_T v2 = k0 ^ 0x6c7967656e657261ULL; |
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380 PY_UINT64_T v3 = k1 ^ 0x7465646279746573ULL; |
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381 |
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382 PY_UINT64_T t; |
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383 PY_UINT8_T *pt; |
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384 PY_UINT8_T *m; |
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385 |
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386 while (src_sz >= 8) { |
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387 PY_UINT64_T mi = _le64toh(*in); |
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388 in += 1; |
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389 src_sz -= 8; |
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390 v3 ^= mi; |
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391 DOUBLE_ROUND(v0,v1,v2,v3); |
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392 v0 ^= mi; |
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393 } |
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394 |
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395 t = 0; |
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396 pt = (PY_UINT8_T *)&t; |
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397 m = (PY_UINT8_T *)in; |
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398 switch (src_sz) { |
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399 case 7: pt[6] = m[6]; |
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400 case 6: pt[5] = m[5]; |
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401 case 5: pt[4] = m[4]; |
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402 case 4: *((PY_UINT32_T*)&pt[0]) = *((PY_UINT32_T*)&m[0]); break; |
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403 case 3: pt[2] = m[2]; |
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404 case 2: pt[1] = m[1]; |
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405 case 1: pt[0] = m[0]; |
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406 } |
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407 b |= _le64toh(t); |
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408 |
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409 v3 ^= b; |
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410 DOUBLE_ROUND(v0,v1,v2,v3); |
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411 v0 ^= b; |
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412 v2 ^= 0xff; |
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413 DOUBLE_ROUND(v0,v1,v2,v3); |
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414 DOUBLE_ROUND(v0,v1,v2,v3); |
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415 |
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416 /* modified */ |
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417 t = (v0 ^ v1) ^ (v2 ^ v3); |
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418 return (Py_hash_t)t; |
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419 } |
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420 |
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421 static PyHash_FuncDef PyHash_Func = {siphash24, "siphash24", 64, 128}; |
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422 |
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423 #endif /* Py_HASH_ALGORITHM == Py_HASH_SIPHASH24 */ |
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424 |
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425 #ifdef __cplusplus |
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426 } |
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427 #endif |
