city.cpp 12 KB

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  1. // Copyright (c) 2011 Google, Inc.
  2. // Permission is hereby granted, free of charge, to any person obtaining a copy
  3. // of this software and associated documentation files (the "Software"), to deal
  4. // in the Software without restriction, including without limitation the rights
  5. // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
  6. // copies of the Software, and to permit persons to whom the Software is
  7. // furnished to do so, subject to the following conditions:
  8. // The above copyright notice and this permission notice shall be included in
  9. // all copies or substantial portions of the Software.
  10. // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  11. // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  12. // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
  13. // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  14. // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
  15. // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
  16. // THE SOFTWARE.
  17. // CityHash Version 1, by Geoff Pike and Jyrki Alakuijala
  18. // This file provides CityHash64() and related functions.
  19. // It's probably possible to create even faster hash functions by
  20. // writing a program that systematically explores some of the space of
  21. // possible hash functions, by using SIMD instructions, or by
  22. // compromising on hash quality.
  23. #include "city.h"
  24. using uint8 = ui8;
  25. using uint32 = ui32;
  26. using uint64 = ui64;
  27. #include <util/system/unaligned_mem.h>
  28. #include <util/generic/algorithm.h>
  29. using namespace std;
  30. //#define UNALIGNED_LOAD64(p) (*(const uint64*)(p))
  31. //#define UNALIGNED_LOAD32(p) (*(const uint32*)(p))
  32. #define UNALIGNED_LOAD64(p) (ReadUnaligned<uint64>((const void*)(p)))
  33. #define UNALIGNED_LOAD32(p) (ReadUnaligned<uint32>((const void*)(p)))
  34. #define LIKELY(x) Y_LIKELY(!!(x))
  35. // Some primes between 2^63 and 2^64 for various uses.
  36. static const uint64 k0 = 0xc3a5c85c97cb3127ULL;
  37. static const uint64 k1 = 0xb492b66fbe98f273ULL;
  38. static const uint64 k2 = 0x9ae16a3b2f90404fULL;
  39. static const uint64 k3 = 0xc949d7c7509e6557ULL;
  40. // Bitwise right rotate. Normally this will compile to a single
  41. // instruction, especially if the shift is a manifest constant.
  42. static uint64 Rotate(uint64 val, int shift) {
  43. // Avoid shifting by 64: doing so yields an undefined result.
  44. return shift == 0 ? val : ((val >> shift) | (val << (64 - shift)));
  45. }
  46. // Equivalent to Rotate(), but requires the second arg to be non-zero.
  47. // On x86-64, and probably others, it's possible for this to compile
  48. // to a single instruction if both args are already in registers.
  49. static uint64 RotateByAtLeast1(uint64 val, int shift) {
  50. return (val >> shift) | (val << (64 - shift));
  51. }
  52. static uint64 ShiftMix(uint64 val) {
  53. return val ^ (val >> 47);
  54. }
  55. static uint64 HashLen16(uint64 u, uint64 v) {
  56. return Hash128to64(uint128(u, v));
  57. }
  58. static uint64 HashLen0to16(const char* s, size_t len) {
  59. if (len > 8) {
  60. uint64 a = UNALIGNED_LOAD64(s);
  61. uint64 b = UNALIGNED_LOAD64(s + len - 8);
  62. return HashLen16(a, RotateByAtLeast1(b + len, static_cast<int>(len))) ^ b;
  63. }
  64. if (len >= 4) {
  65. uint64 a = UNALIGNED_LOAD32(s);
  66. return HashLen16(len + (a << 3), UNALIGNED_LOAD32(s + len - 4));
  67. }
  68. if (len > 0) {
  69. uint8 a = s[0];
  70. uint8 b = s[len >> 1];
  71. uint8 c = s[len - 1];
  72. uint32 y = static_cast<uint32>(a) + (static_cast<uint32>(b) << 8);
  73. uint32 z = static_cast<uint32>(len) + (static_cast<uint32>(c) << 2);
  74. return ShiftMix(y * k2 ^ z * k3) * k2;
  75. }
  76. return k2;
  77. }
  78. // This probably works well for 16-byte strings as well, but it may be overkill
  79. // in that case.
  80. static uint64 HashLen17to32(const char* s, size_t len) {
  81. uint64 a = UNALIGNED_LOAD64(s) * k1;
  82. uint64 b = UNALIGNED_LOAD64(s + 8);
  83. uint64 c = UNALIGNED_LOAD64(s + len - 8) * k2;
  84. uint64 d = UNALIGNED_LOAD64(s + len - 16) * k0;
  85. return HashLen16(Rotate(a - b, 43) + Rotate(c, 30) + d,
  86. a + Rotate(b ^ k3, 20) - c + len);
  87. }
  88. // Return a 16-byte hash for 48 bytes. Quick and dirty.
  89. // Callers do best to use "random-looking" values for a and b.
  90. static pair<uint64, uint64> WeakHashLen32WithSeeds(
  91. uint64 w, uint64 x, uint64 y, uint64 z, uint64 a, uint64 b) {
  92. a += w;
  93. b = Rotate(b + a + z, 21);
  94. uint64 c = a;
  95. a += x;
  96. a += y;
  97. b += Rotate(a, 44);
  98. return make_pair(a + z, b + c);
  99. }
  100. // Return a 16-byte hash for s[0] ... s[31], a, and b. Quick and dirty.
  101. static pair<uint64, uint64> WeakHashLen32WithSeeds(
  102. const char* s, uint64 a, uint64 b) {
  103. return WeakHashLen32WithSeeds(UNALIGNED_LOAD64(s),
  104. UNALIGNED_LOAD64(s + 8),
  105. UNALIGNED_LOAD64(s + 16),
  106. UNALIGNED_LOAD64(s + 24),
  107. a,
  108. b);
  109. }
  110. // Return an 8-byte hash for 33 to 64 bytes.
  111. static uint64 HashLen33to64(const char* s, size_t len) {
  112. uint64 z = UNALIGNED_LOAD64(s + 24);
  113. uint64 a = UNALIGNED_LOAD64(s) + (len + UNALIGNED_LOAD64(s + len - 16)) * k0;
  114. uint64 b = Rotate(a + z, 52);
  115. uint64 c = Rotate(a, 37);
  116. a += UNALIGNED_LOAD64(s + 8);
  117. c += Rotate(a, 7);
  118. a += UNALIGNED_LOAD64(s + 16);
  119. uint64 vf = a + z;
  120. uint64 vs = b + Rotate(a, 31) + c;
  121. a = UNALIGNED_LOAD64(s + 16) + UNALIGNED_LOAD64(s + len - 32);
  122. z = UNALIGNED_LOAD64(s + len - 8);
  123. b = Rotate(a + z, 52);
  124. c = Rotate(a, 37);
  125. a += UNALIGNED_LOAD64(s + len - 24);
  126. c += Rotate(a, 7);
  127. a += UNALIGNED_LOAD64(s + len - 16);
  128. uint64 wf = a + z;
  129. uint64 ws = b + Rotate(a, 31) + c;
  130. uint64 r = ShiftMix((vf + ws) * k2 + (wf + vs) * k0);
  131. return ShiftMix(r * k0 + vs) * k2;
  132. }
  133. uint64 CityHash64(const char* s, size_t len) noexcept {
  134. if (len <= 32) {
  135. if (len <= 16) {
  136. return HashLen0to16(s, len);
  137. } else {
  138. return HashLen17to32(s, len);
  139. }
  140. } else if (len <= 64) {
  141. return HashLen33to64(s, len);
  142. }
  143. // For strings over 64 bytes we hash the end first, and then as we
  144. // loop we keep 56 bytes of state: v, w, x, y, and z.
  145. uint64 x = UNALIGNED_LOAD64(s);
  146. uint64 y = UNALIGNED_LOAD64(s + len - 16) ^ k1;
  147. uint64 z = UNALIGNED_LOAD64(s + len - 56) ^ k0;
  148. pair<uint64, uint64> v = WeakHashLen32WithSeeds(s + len - 64, len, y);
  149. pair<uint64, uint64> w = WeakHashLen32WithSeeds(s + len - 32, len * k1, k0);
  150. z += ShiftMix(v.second) * k1;
  151. x = Rotate(z + x, 39) * k1;
  152. y = Rotate(y, 33) * k1;
  153. // Decrease len to the nearest multiple of 64, and operate on 64-byte chunks.
  154. len = (len - 1) & ~static_cast<size_t>(63);
  155. do {
  156. x = Rotate(x + y + v.first + UNALIGNED_LOAD64(s + 16), 37) * k1;
  157. y = Rotate(y + v.second + UNALIGNED_LOAD64(s + 48), 42) * k1;
  158. x ^= w.second;
  159. y ^= v.first;
  160. z = Rotate(z ^ w.first, 33);
  161. v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
  162. w = WeakHashLen32WithSeeds(s + 32, z + w.second, y);
  163. DoSwap(z, x);
  164. s += 64;
  165. len -= 64;
  166. } while (len != 0);
  167. return HashLen16(HashLen16(v.first, w.first) + ShiftMix(y) * k1 + z,
  168. HashLen16(v.second, w.second) + x);
  169. }
  170. uint64 CityHash64WithSeed(const char* s, size_t len, uint64 seed) noexcept {
  171. return CityHash64WithSeeds(s, len, k2, seed);
  172. }
  173. uint64 CityHash64WithSeeds(const char* s, size_t len,
  174. uint64 seed0, uint64 seed1) noexcept {
  175. return HashLen16(CityHash64(s, len) - seed0, seed1);
  176. }
  177. // A subroutine for CityHash128(). Returns a decent 128-bit hash for strings
  178. // of any length representable in ssize_t. Based on City and Murmur.
  179. static uint128 CityMurmur(const char* s, size_t len, uint128 seed) {
  180. uint64 a = Uint128Low64(seed);
  181. uint64 b = Uint128High64(seed);
  182. uint64 c = 0;
  183. uint64 d = 0;
  184. ssize_t l = len - 16;
  185. if (l <= 0) { // len <= 16
  186. c = b * k1 + HashLen0to16(s, len);
  187. d = Rotate(a + (len >= 8 ? UNALIGNED_LOAD64(s) : c), 32);
  188. } else { // len > 16
  189. c = HashLen16(UNALIGNED_LOAD64(s + len - 8) + k1, a);
  190. d = HashLen16(b + len, c + UNALIGNED_LOAD64(s + len - 16));
  191. a += d;
  192. do {
  193. a ^= ShiftMix(UNALIGNED_LOAD64(s) * k1) * k1;
  194. a *= k1;
  195. b ^= a;
  196. c ^= ShiftMix(UNALIGNED_LOAD64(s + 8) * k1) * k1;
  197. c *= k1;
  198. d ^= c;
  199. s += 16;
  200. l -= 16;
  201. } while (l > 0);
  202. }
  203. a = HashLen16(a, c);
  204. b = HashLen16(d, b);
  205. return uint128(a ^ b, HashLen16(b, a));
  206. }
  207. uint128 CityHash128WithSeed(const char* s, size_t len, uint128 seed) noexcept {
  208. if (len < 128) {
  209. return CityMurmur(s, len, seed);
  210. }
  211. // We expect len >= 128 to be the common case. Keep 56 bytes of state:
  212. // v, w, x, y, and z.
  213. pair<uint64, uint64> v, w;
  214. uint64 x = Uint128Low64(seed);
  215. uint64 y = Uint128High64(seed);
  216. uint64 z = len * k1;
  217. v.first = Rotate(y ^ k1, 49) * k1 + UNALIGNED_LOAD64(s);
  218. v.second = Rotate(v.first, 42) * k1 + UNALIGNED_LOAD64(s + 8);
  219. w.first = Rotate(y + z, 35) * k1 + x;
  220. w.second = Rotate(x + UNALIGNED_LOAD64(s + 88), 53) * k1;
  221. // This is the same inner loop as CityHash64(), manually unrolled.
  222. do {
  223. x = Rotate(x + y + v.first + UNALIGNED_LOAD64(s + 16), 37) * k1;
  224. y = Rotate(y + v.second + UNALIGNED_LOAD64(s + 48), 42) * k1;
  225. x ^= w.second;
  226. y ^= v.first;
  227. z = Rotate(z ^ w.first, 33);
  228. v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
  229. w = WeakHashLen32WithSeeds(s + 32, z + w.second, y);
  230. DoSwap(z, x);
  231. s += 64;
  232. x = Rotate(x + y + v.first + UNALIGNED_LOAD64(s + 16), 37) * k1;
  233. y = Rotate(y + v.second + UNALIGNED_LOAD64(s + 48), 42) * k1;
  234. x ^= w.second;
  235. y ^= v.first;
  236. z = Rotate(z ^ w.first, 33);
  237. v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
  238. w = WeakHashLen32WithSeeds(s + 32, z + w.second, y);
  239. DoSwap(z, x);
  240. s += 64;
  241. len -= 128;
  242. } while (LIKELY(len >= 128));
  243. y += Rotate(w.first, 37) * k0 + z;
  244. x += Rotate(v.first + z, 49) * k0;
  245. // If 0 < len < 128, hash up to 4 chunks of 32 bytes each from the end of s.
  246. for (size_t tail_done = 0; tail_done < len;) {
  247. tail_done += 32;
  248. y = Rotate(y - x, 42) * k0 + v.second;
  249. w.first += UNALIGNED_LOAD64(s + len - tail_done + 16);
  250. x = Rotate(x, 49) * k0 + w.first;
  251. w.first += v.first;
  252. v = WeakHashLen32WithSeeds(s + len - tail_done, v.first, v.second);
  253. }
  254. // At this point our 48 bytes of state should contain more than
  255. // enough information for a strong 128-bit hash. We use two
  256. // different 48-byte-to-8-byte hashes to get a 16-byte final result.
  257. x = HashLen16(x, v.first);
  258. y = HashLen16(y, w.first);
  259. return uint128(HashLen16(x + v.second, w.second) + y,
  260. HashLen16(x + w.second, y + v.second));
  261. }
  262. uint128 CityHash128(const char* s, size_t len) noexcept {
  263. if (len >= 16) {
  264. return CityHash128WithSeed(s + 16,
  265. len - 16,
  266. uint128(UNALIGNED_LOAD64(s) ^ k3,
  267. UNALIGNED_LOAD64(s + 8)));
  268. } else if (len >= 8) {
  269. return CityHash128WithSeed(nullptr,
  270. 0,
  271. uint128(UNALIGNED_LOAD64(s) ^ (len * k0),
  272. UNALIGNED_LOAD64(s + len - 8) ^ k1));
  273. } else {
  274. return CityHash128WithSeed(s, len, uint128(k0, k1));
  275. }
  276. }