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city.cc (16647B)


      1 // Copyright (c) 2011 Google, Inc.
      2 //
      3 // Permission is hereby granted, free of charge, to any person obtaining a copy
      4 // of this software and associated documentation files (the "Software"), to deal
      5 // in the Software without restriction, including without limitation the rights
      6 // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
      7 // copies of the Software, and to permit persons to whom the Software is
      8 // furnished to do so, subject to the following conditions:
      9 //
     10 // The above copyright notice and this permission notice shall be included in
     11 // all copies or substantial portions of the Software.
     12 //
     13 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
     14 // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
     15 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
     16 // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
     17 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
     18 // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
     19 // THE SOFTWARE.
     20 //
     21 // CityHash, by Geoff Pike and Jyrki Alakuijala
     22 //
     23 // This file provides CityHash64() and related functions.
     24 //
     25 // It's probably possible to create even faster hash functions by
     26 // writing a program that systematically explores some of the space of
     27 // possible hash functions, by using SIMD instructions, or by
     28 // compromising on hash quality.
     29 
     30 #include "city.h"
     31 
     32 #include <string.h>  // for memcpy and memset
     33 #include <algorithm>
     34 
     35 using std::make_pair;
     36 using std::pair;
     37 
     38 #if defined(__clang__)
     39 
     40 // Use builtins where possible. On Windows for instance, this may prevent a
     41 // function call instead of emitting a single instruction.
     42 #define bswap_32(x) __builtin_bswap32(x)
     43 #define bswap_64(x) __builtin_bswap64(x)
     44 
     45 #elif _MSC_VER
     46 
     47 #include <stdlib.h>
     48 #define bswap_32(x) _byteswap_ulong(x)
     49 #define bswap_64(x) _byteswap_uint64(x)
     50 
     51 #elif defined(__APPLE__)
     52 
     53 // Mac OS X / Darwin features
     54 #include <libkern/OSByteOrder.h>
     55 #define bswap_32(x) OSSwapInt32(x)
     56 #define bswap_64(x) OSSwapInt64(x)
     57 
     58 #elif defined(__sun) || defined(sun)
     59 
     60 #include <sys/byteorder.h>
     61 #define bswap_32(x) BSWAP_32(x)
     62 #define bswap_64(x) BSWAP_64(x)
     63 
     64 #elif defined(__FreeBSD__)
     65 
     66 #include <sys/endian.h>
     67 #define bswap_32(x) bswap32(x)
     68 #define bswap_64(x) bswap64(x)
     69 
     70 #elif defined(__OpenBSD__)
     71 
     72 #include <sys/types.h>
     73 #define bswap_32(x) swap32(x)
     74 #define bswap_64(x) swap64(x)
     75 
     76 #elif defined(__NetBSD__)
     77 
     78 #include <machine/bswap.h>
     79 #include <sys/types.h>
     80 #if defined(__BSWAP_RENAME) && !defined(__bswap_32)
     81 #define bswap_32(x) bswap32(x)
     82 #define bswap_64(x) bswap64(x)
     83 #endif
     84 
     85 #else
     86 
     87 // XXX(cavalcanti): building 'native_client' fails with this header.
     88 //#include <byteswap.h>
     89 
     90 // Falling back to compiler builtins instead.
     91 #define bswap_32(x) __builtin_bswap32(x)
     92 #define bswap_64(x) __builtin_bswap64(x)
     93 
     94 #endif
     95 
     96 namespace base {
     97 namespace internal {
     98 namespace cityhash_v111 {
     99 
    100 #ifdef WORDS_BIGENDIAN
    101 #define uint32_in_expected_order(x) (bswap_32(x))
    102 #define uint64_in_expected_order(x) (bswap_64(x))
    103 #else
    104 #define uint32_in_expected_order(x) (x)
    105 #define uint64_in_expected_order(x) (x)
    106 #endif
    107 
    108 #if !defined(LIKELY)
    109 #if HAVE_BUILTIN_EXPECT
    110 #define LIKELY(x) (__builtin_expect(!!(x), 1))
    111 #else
    112 #define LIKELY(x) (x)
    113 #endif
    114 #endif
    115 
    116 static uint64 UNALIGNED_LOAD64(const char* p) {
    117  uint64 result;
    118  memcpy(&result, p, sizeof(result));
    119  return result;
    120 }
    121 
    122 static uint32 UNALIGNED_LOAD32(const char* p) {
    123  uint32 result;
    124  memcpy(&result, p, sizeof(result));
    125  return result;
    126 }
    127 
    128 static uint64 Fetch64(const char* p) {
    129  return uint64_in_expected_order(UNALIGNED_LOAD64(p));
    130 }
    131 
    132 static uint32 Fetch32(const char* p) {
    133  return uint32_in_expected_order(UNALIGNED_LOAD32(p));
    134 }
    135 
    136 // Some primes between 2^63 and 2^64 for various uses.
    137 static const uint64 k0 = 0xc3a5c85c97cb3127ULL;
    138 static const uint64 k1 = 0xb492b66fbe98f273ULL;
    139 static const uint64 k2 = 0x9ae16a3b2f90404fULL;
    140 
    141 // Magic numbers for 32-bit hashing.  Copied from Murmur3.
    142 static const uint32 c1 = 0xcc9e2d51;
    143 static const uint32 c2 = 0x1b873593;
    144 
    145 // A 32-bit to 32-bit integer hash copied from Murmur3.
    146 static uint32 fmix(uint32 h) {
    147  h ^= h >> 16;
    148  h *= 0x85ebca6b;
    149  h ^= h >> 13;
    150  h *= 0xc2b2ae35;
    151  h ^= h >> 16;
    152  return h;
    153 }
    154 
    155 static uint32 Rotate32(uint32 val, int shift) {
    156  // Avoid shifting by 32: doing so yields an undefined result.
    157  return shift == 0 ? val : ((val >> shift) | (val << (32 - shift)));
    158 }
    159 
    160 #undef PERMUTE3
    161 #define PERMUTE3(a, b, c) \
    162  do {                    \
    163    std::swap(a, b);      \
    164    std::swap(a, c);      \
    165  } while (0)
    166 
    167 static uint32 Mur(uint32 a, uint32 h) {
    168  // Helper from Murmur3 for combining two 32-bit values.
    169  a *= c1;
    170  a = Rotate32(a, 17);
    171  a *= c2;
    172  h ^= a;
    173  h = Rotate32(h, 19);
    174  return h * 5 + 0xe6546b64;
    175 }
    176 
    177 static uint32 Hash32Len13to24(const char* s, size_t len) {
    178  uint32 a = Fetch32(s - 4 + (len >> 1));
    179  uint32 b = Fetch32(s + 4);
    180  uint32 c = Fetch32(s + len - 8);
    181  uint32 d = Fetch32(s + (len >> 1));
    182  uint32 e = Fetch32(s);
    183  uint32 f = Fetch32(s + len - 4);
    184  uint32 h = static_cast<uint32>(len);
    185 
    186  return fmix(Mur(f, Mur(e, Mur(d, Mur(c, Mur(b, Mur(a, h)))))));
    187 }
    188 
    189 static uint32 Hash32Len0to4(const char* s, size_t len) {
    190  uint32 b = 0;
    191  uint32 c = 9;
    192  for (size_t i = 0; i < len; i++) {
    193    signed char v = static_cast<signed char>(s[i]);
    194    b = b * c1 + static_cast<uint32>(v);
    195    c ^= b;
    196  }
    197  return fmix(Mur(b, Mur(static_cast<uint32>(len), c)));
    198 }
    199 
    200 static uint32 Hash32Len5to12(const char* s, size_t len) {
    201  uint32 a = static_cast<uint32>(len), b = a * 5, c = 9, d = b;
    202  a += Fetch32(s);
    203  b += Fetch32(s + len - 4);
    204  c += Fetch32(s + ((len >> 1) & 4));
    205  return fmix(Mur(c, Mur(b, Mur(a, d))));
    206 }
    207 
    208 uint32 CityHash32(const char* s, size_t len) {
    209  if (len <= 24) {
    210    return len <= 12
    211               ? (len <= 4 ? Hash32Len0to4(s, len) : Hash32Len5to12(s, len))
    212               : Hash32Len13to24(s, len);
    213  }
    214 
    215  // len > 24
    216  uint32 h = static_cast<uint32>(len), g = c1 * h, f = g;
    217  uint32 a0 = Rotate32(Fetch32(s + len - 4) * c1, 17) * c2;
    218  uint32 a1 = Rotate32(Fetch32(s + len - 8) * c1, 17) * c2;
    219  uint32 a2 = Rotate32(Fetch32(s + len - 16) * c1, 17) * c2;
    220  uint32 a3 = Rotate32(Fetch32(s + len - 12) * c1, 17) * c2;
    221  uint32 a4 = Rotate32(Fetch32(s + len - 20) * c1, 17) * c2;
    222  h ^= a0;
    223  h = Rotate32(h, 19);
    224  h = h * 5 + 0xe6546b64;
    225  h ^= a2;
    226  h = Rotate32(h, 19);
    227  h = h * 5 + 0xe6546b64;
    228  g ^= a1;
    229  g = Rotate32(g, 19);
    230  g = g * 5 + 0xe6546b64;
    231  g ^= a3;
    232  g = Rotate32(g, 19);
    233  g = g * 5 + 0xe6546b64;
    234  f += a4;
    235  f = Rotate32(f, 19);
    236  f = f * 5 + 0xe6546b64;
    237  size_t iters = (len - 1) / 20;
    238  do {
    239    a0 = Rotate32(Fetch32(s) * c1, 17) * c2;
    240    a1 = Fetch32(s + 4);
    241    a2 = Rotate32(Fetch32(s + 8) * c1, 17) * c2;
    242    a3 = Rotate32(Fetch32(s + 12) * c1, 17) * c2;
    243    a4 = Fetch32(s + 16);
    244    h ^= a0;
    245    h = Rotate32(h, 18);
    246    h = h * 5 + 0xe6546b64;
    247    f += a1;
    248    f = Rotate32(f, 19);
    249    f = f * c1;
    250    g += a2;
    251    g = Rotate32(g, 18);
    252    g = g * 5 + 0xe6546b64;
    253    h ^= a3 + a1;
    254    h = Rotate32(h, 19);
    255    h = h * 5 + 0xe6546b64;
    256    g ^= a4;
    257    g = bswap_32(g) * 5;
    258    h += a4 * 5;
    259    h = bswap_32(h);
    260    f += a0;
    261    PERMUTE3(f, h, g);
    262    s += 20;
    263  } while (--iters != 0);
    264  g = Rotate32(g, 11) * c1;
    265  g = Rotate32(g, 17) * c1;
    266  f = Rotate32(f, 11) * c1;
    267  f = Rotate32(f, 17) * c1;
    268  h = Rotate32(h + g, 19);
    269  h = h * 5 + 0xe6546b64;
    270  h = Rotate32(h, 17) * c1;
    271  h = Rotate32(h + f, 19);
    272  h = h * 5 + 0xe6546b64;
    273  h = Rotate32(h, 17) * c1;
    274  return h;
    275 }
    276 
    277 // Bitwise right rotate.  Normally this will compile to a single
    278 // instruction, especially if the shift is a manifest constant.
    279 static uint64 Rotate(uint64 val, int shift) {
    280  // Avoid shifting by 64: doing so yields an undefined result.
    281  return shift == 0 ? val : ((val >> shift) | (val << (64 - shift)));
    282 }
    283 
    284 static uint64 ShiftMix(uint64 val) {
    285  return val ^ (val >> 47);
    286 }
    287 
    288 static uint64 HashLen16(uint64 u, uint64 v) {
    289  return Hash128to64(uint128(u, v));
    290 }
    291 
    292 static uint64 HashLen16(uint64 u, uint64 v, uint64 mul) {
    293  // Murmur-inspired hashing.
    294  uint64 a = (u ^ v) * mul;
    295  a ^= (a >> 47);
    296  uint64 b = (v ^ a) * mul;
    297  b ^= (b >> 47);
    298  b *= mul;
    299  return b;
    300 }
    301 
    302 static uint64 HashLen0to16(const char* s, size_t len) {
    303  if (len >= 8) {
    304    uint64 mul = k2 + len * 2;
    305    uint64 a = Fetch64(s) + k2;
    306    uint64 b = Fetch64(s + len - 8);
    307    uint64 c = Rotate(b, 37) * mul + a;
    308    uint64 d = (Rotate(a, 25) + b) * mul;
    309    return HashLen16(c, d, mul);
    310  }
    311  if (len >= 4) {
    312    uint64 mul = k2 + len * 2;
    313    uint64 a = Fetch32(s);
    314    return HashLen16(len + (a << 3), Fetch32(s + len - 4), mul);
    315  }
    316  if (len > 0) {
    317    uint8 a = static_cast<uint8>(s[0]);
    318    uint8 b = static_cast<uint8>(s[len >> 1]);
    319    uint8 c = static_cast<uint8>(s[len - 1]);
    320    uint32 y = static_cast<uint32>(a) + (static_cast<uint32>(b) << 8);
    321    uint32 z = static_cast<uint32>(len) + (static_cast<uint32>(c) << 2);
    322    return ShiftMix(y * k2 ^ z * k0) * k2;
    323  }
    324  return k2;
    325 }
    326 
    327 // This probably works well for 16-byte strings as well, but it may be overkill
    328 // in that case.
    329 static uint64 HashLen17to32(const char* s, size_t len) {
    330  uint64 mul = k2 + len * 2;
    331  uint64 a = Fetch64(s) * k1;
    332  uint64 b = Fetch64(s + 8);
    333  uint64 c = Fetch64(s + len - 8) * mul;
    334  uint64 d = Fetch64(s + len - 16) * k2;
    335  return HashLen16(Rotate(a + b, 43) + Rotate(c, 30) + d,
    336                   a + Rotate(b + k2, 18) + c, mul);
    337 }
    338 
    339 // Return a 16-byte hash for 48 bytes.  Quick and dirty.
    340 // Callers do best to use "random-looking" values for a and b.
    341 static pair<uint64, uint64> WeakHashLen32WithSeeds(uint64 w,
    342                                                   uint64 x,
    343                                                   uint64 y,
    344                                                   uint64 z,
    345                                                   uint64 a,
    346                                                   uint64 b) {
    347  a += w;
    348  b = Rotate(b + a + z, 21);
    349  uint64 c = a;
    350  a += x;
    351  a += y;
    352  b += Rotate(a, 44);
    353  return make_pair(a + z, b + c);
    354 }
    355 
    356 // Return a 16-byte hash for s[0] ... s[31], a, and b.  Quick and dirty.
    357 static pair<uint64, uint64> WeakHashLen32WithSeeds(const char* s,
    358                                                   uint64 a,
    359                                                   uint64 b) {
    360  return WeakHashLen32WithSeeds(Fetch64(s), Fetch64(s + 8), Fetch64(s + 16),
    361                                Fetch64(s + 24), a, b);
    362 }
    363 
    364 // Return an 8-byte hash for 33 to 64 bytes.
    365 static uint64 HashLen33to64(const char* s, size_t len) {
    366  uint64 mul = k2 + len * 2;
    367  uint64 a = Fetch64(s) * k2;
    368  uint64 b = Fetch64(s + 8);
    369  uint64 c = Fetch64(s + len - 24);
    370  uint64 d = Fetch64(s + len - 32);
    371  uint64 e = Fetch64(s + 16) * k2;
    372  uint64 f = Fetch64(s + 24) * 9;
    373  uint64 g = Fetch64(s + len - 8);
    374  uint64 h = Fetch64(s + len - 16) * mul;
    375  uint64 u = Rotate(a + g, 43) + (Rotate(b, 30) + c) * 9;
    376  uint64 v = ((a + g) ^ d) + f + 1;
    377  uint64 w = bswap_64((u + v) * mul) + h;
    378  uint64 x = Rotate(e + f, 42) + c;
    379  uint64 y = (bswap_64((v + w) * mul) + g) * mul;
    380  uint64 z = e + f + c;
    381  a = bswap_64((x + z) * mul + y) + b;
    382  b = ShiftMix((z + a) * mul + d + h) * mul;
    383  return b + x;
    384 }
    385 
    386 uint64 CityHash64(const char* s, size_t len) {
    387  if (len <= 32) {
    388    if (len <= 16) {
    389      return HashLen0to16(s, len);
    390    } else {
    391      return HashLen17to32(s, len);
    392    }
    393  } else if (len <= 64) {
    394    return HashLen33to64(s, len);
    395  }
    396 
    397  // For strings over 64 bytes we hash the end first, and then as we
    398  // loop we keep 56 bytes of state: v, w, x, y, and z.
    399  uint64 x = Fetch64(s + len - 40);
    400  uint64 y = Fetch64(s + len - 16) + Fetch64(s + len - 56);
    401  uint64 z = HashLen16(Fetch64(s + len - 48) + len, Fetch64(s + len - 24));
    402  pair<uint64, uint64> v = WeakHashLen32WithSeeds(s + len - 64, len, z);
    403  pair<uint64, uint64> w = WeakHashLen32WithSeeds(s + len - 32, y + k1, x);
    404  x = x * k1 + Fetch64(s);
    405 
    406  // Decrease len to the nearest multiple of 64, and operate on 64-byte chunks.
    407  len = (len - 1) & ~static_cast<size_t>(63);
    408  do {
    409    x = Rotate(x + y + v.first + Fetch64(s + 8), 37) * k1;
    410    y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1;
    411    x ^= w.second;
    412    y += v.first + Fetch64(s + 40);
    413    z = Rotate(z + w.first, 33) * k1;
    414    v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
    415    w = WeakHashLen32WithSeeds(s + 32, z + w.second, y + Fetch64(s + 16));
    416    std::swap(z, x);
    417    s += 64;
    418    len -= 64;
    419  } while (len != 0);
    420  return HashLen16(HashLen16(v.first, w.first) + ShiftMix(y) * k1 + z,
    421                   HashLen16(v.second, w.second) + x);
    422 }
    423 
    424 uint64 CityHash64WithSeed(const char* s, size_t len, uint64 seed) {
    425  return CityHash64WithSeeds(s, len, k2, seed);
    426 }
    427 
    428 uint64 CityHash64WithSeeds(const char* s,
    429                           size_t len,
    430                           uint64 seed0,
    431                           uint64 seed1) {
    432  return HashLen16(CityHash64(s, len) - seed0, seed1);
    433 }
    434 
    435 // A subroutine for CityHash128().  Returns a decent 128-bit hash for strings
    436 // of any length representable in signed long.  Based on City and Murmur.
    437 static uint128 CityMurmur(const char* s, size_t len, uint128 seed) {
    438  uint64 a = Uint128Low64(seed);
    439  uint64 b = Uint128High64(seed);
    440  uint64 c = 0;
    441  uint64 d = 0;
    442  if (len <= 16) {
    443    a = ShiftMix(a * k1) * k1;
    444    c = b * k1 + HashLen0to16(s, len);
    445    d = ShiftMix(a + (len >= 8 ? Fetch64(s) : c));
    446  } else {
    447    c = HashLen16(Fetch64(s + len - 8) + k1, a);
    448    d = HashLen16(b + len, c + Fetch64(s + len - 16));
    449    a += d;
    450    // len > 16 here, so do...while is safe
    451    do {
    452      a ^= ShiftMix(Fetch64(s) * k1) * k1;
    453      a *= k1;
    454      b ^= a;
    455      c ^= ShiftMix(Fetch64(s + 8) * k1) * k1;
    456      c *= k1;
    457      d ^= c;
    458      s += 16;
    459      len -= 16;
    460    } while (len > 16);
    461  }
    462  a = HashLen16(a, c);
    463  b = HashLen16(d, b);
    464  return uint128(a ^ b, HashLen16(b, a));
    465 }
    466 
    467 uint128 CityHash128WithSeed(const char* s, size_t len, uint128 seed) {
    468  if (len < 128) {
    469    return CityMurmur(s, len, seed);
    470  }
    471 
    472  // We expect len >= 128 to be the common case.  Keep 56 bytes of state:
    473  // v, w, x, y, and z.
    474  pair<uint64, uint64> v, w;
    475  uint64 x = Uint128Low64(seed);
    476  uint64 y = Uint128High64(seed);
    477  uint64 z = len * k1;
    478  v.first = Rotate(y ^ k1, 49) * k1 + Fetch64(s);
    479  v.second = Rotate(v.first, 42) * k1 + Fetch64(s + 8);
    480  w.first = Rotate(y + z, 35) * k1 + x;
    481  w.second = Rotate(x + Fetch64(s + 88), 53) * k1;
    482 
    483  // This is the same inner loop as CityHash64(), manually unrolled.
    484  do {
    485    x = Rotate(x + y + v.first + Fetch64(s + 8), 37) * k1;
    486    y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1;
    487    x ^= w.second;
    488    y += v.first + Fetch64(s + 40);
    489    z = Rotate(z + w.first, 33) * k1;
    490    v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
    491    w = WeakHashLen32WithSeeds(s + 32, z + w.second, y + Fetch64(s + 16));
    492    std::swap(z, x);
    493    s += 64;
    494    x = Rotate(x + y + v.first + Fetch64(s + 8), 37) * k1;
    495    y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1;
    496    x ^= w.second;
    497    y += v.first + Fetch64(s + 40);
    498    z = Rotate(z + w.first, 33) * k1;
    499    v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
    500    w = WeakHashLen32WithSeeds(s + 32, z + w.second, y + Fetch64(s + 16));
    501    std::swap(z, x);
    502    s += 64;
    503    len -= 128;
    504  } while (LIKELY(len >= 128));
    505  x += Rotate(v.first + z, 49) * k0;
    506  y = y * k0 + Rotate(w.second, 37);
    507  z = z * k0 + Rotate(w.first, 27);
    508  w.first *= 9;
    509  v.first *= k0;
    510  // If 0 < len < 128, hash up to 4 chunks of 32 bytes each from the end of s.
    511  for (size_t tail_done = 0; tail_done < len;) {
    512    tail_done += 32;
    513    y = Rotate(x + y, 42) * k0 + v.second;
    514    w.first += Fetch64(s + len - tail_done + 16);
    515    x = x * k0 + w.first;
    516    z += w.second + Fetch64(s + len - tail_done);
    517    w.second += v.first;
    518    v = WeakHashLen32WithSeeds(s + len - tail_done, v.first + z, v.second);
    519    v.first *= k0;
    520  }
    521  // At this point our 56 bytes of state should contain more than
    522  // enough information for a strong 128-bit hash.  We use two
    523  // different 56-byte-to-8-byte hashes to get a 16-byte final result.
    524  x = HashLen16(x, v.first);
    525  y = HashLen16(y + z, w.first);
    526  return uint128(HashLen16(x + v.second, w.second) + y,
    527                 HashLen16(x + w.second, y + v.second));
    528 }
    529 
    530 uint128 CityHash128(const char* s, size_t len) {
    531  return len >= 16
    532             ? CityHash128WithSeed(s + 16, len - 16,
    533                                   uint128(Fetch64(s), Fetch64(s + 8) + k0))
    534             : CityHash128WithSeed(s, len, uint128(k0, k1));
    535 }
    536 
    537 }  // namespace cityhash_v111
    538 }  // namespace internal
    539 }  // namespace base