cityhash.cpp 11 KB

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  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. #include <algorithm>
  30. #include <cstring>
  31. #include <utility>
  32. #include "common/cityhash.h"
  33. #include "common/swap.h"
  34. // #include "config.h"
  35. #ifdef __GNUC__
  36. #define HAVE_BUILTIN_EXPECT 1
  37. #endif
  38. #ifdef COMMON_BIG_ENDIAN
  39. #define WORDS_BIGENDIAN 1
  40. #endif
  41. using namespace std;
  42. namespace Common {
  43. static u64 unaligned_load64(const char* p) {
  44. u64 result;
  45. std::memcpy(&result, p, sizeof(result));
  46. return result;
  47. }
  48. static u32 unaligned_load32(const char* p) {
  49. u32 result;
  50. std::memcpy(&result, p, sizeof(result));
  51. return result;
  52. }
  53. #ifdef WORDS_BIGENDIAN
  54. #define uint32_in_expected_order(x) (swap32(x))
  55. #define uint64_in_expected_order(x) (swap64(x))
  56. #else
  57. #define uint32_in_expected_order(x) (x)
  58. #define uint64_in_expected_order(x) (x)
  59. #endif
  60. #if !defined(LIKELY)
  61. #if HAVE_BUILTIN_EXPECT
  62. #define LIKELY(x) (__builtin_expect(!!(x), 1))
  63. #else
  64. #define LIKELY(x) (x)
  65. #endif
  66. #endif
  67. static u64 Fetch64(const char* p) {
  68. return uint64_in_expected_order(unaligned_load64(p));
  69. }
  70. static u32 Fetch32(const char* p) {
  71. return uint32_in_expected_order(unaligned_load32(p));
  72. }
  73. // Some primes between 2^63 and 2^64 for various uses.
  74. static constexpr u64 k0 = 0xc3a5c85c97cb3127ULL;
  75. static constexpr u64 k1 = 0xb492b66fbe98f273ULL;
  76. static constexpr u64 k2 = 0x9ae16a3b2f90404fULL;
  77. // Bitwise right rotate. Normally this will compile to a single
  78. // instruction, especially if the shift is a manifest constant.
  79. static u64 Rotate(u64 val, int shift) {
  80. // Avoid shifting by 64: doing so yields an undefined result.
  81. return shift == 0 ? val : ((val >> shift) | (val << (64 - shift)));
  82. }
  83. static u64 ShiftMix(u64 val) {
  84. return val ^ (val >> 47);
  85. }
  86. static u64 HashLen16(u64 u, u64 v) {
  87. return Hash128to64(u128{u, v});
  88. }
  89. static u64 HashLen16(u64 u, u64 v, u64 mul) {
  90. // Murmur-inspired hashing.
  91. u64 a = (u ^ v) * mul;
  92. a ^= (a >> 47);
  93. u64 b = (v ^ a) * mul;
  94. b ^= (b >> 47);
  95. b *= mul;
  96. return b;
  97. }
  98. static u64 HashLen0to16(const char* s, size_t len) {
  99. if (len >= 8) {
  100. u64 mul = k2 + len * 2;
  101. u64 a = Fetch64(s) + k2;
  102. u64 b = Fetch64(s + len - 8);
  103. u64 c = Rotate(b, 37) * mul + a;
  104. u64 d = (Rotate(a, 25) + b) * mul;
  105. return HashLen16(c, d, mul);
  106. }
  107. if (len >= 4) {
  108. u64 mul = k2 + len * 2;
  109. u64 a = Fetch32(s);
  110. return HashLen16(len + (a << 3), Fetch32(s + len - 4), mul);
  111. }
  112. if (len > 0) {
  113. u8 a = s[0];
  114. u8 b = s[len >> 1];
  115. u8 c = s[len - 1];
  116. u32 y = static_cast<u32>(a) + (static_cast<u32>(b) << 8);
  117. u32 z = static_cast<u32>(len) + (static_cast<u32>(c) << 2);
  118. return ShiftMix(y * k2 ^ z * k0) * k2;
  119. }
  120. return k2;
  121. }
  122. // This probably works well for 16-byte strings as well, but it may be overkill
  123. // in that case.
  124. static u64 HashLen17to32(const char* s, size_t len) {
  125. u64 mul = k2 + len * 2;
  126. u64 a = Fetch64(s) * k1;
  127. u64 b = Fetch64(s + 8);
  128. u64 c = Fetch64(s + len - 8) * mul;
  129. u64 d = Fetch64(s + len - 16) * k2;
  130. return HashLen16(Rotate(a + b, 43) + Rotate(c, 30) + d, a + Rotate(b + k2, 18) + c, mul);
  131. }
  132. // Return a 16-byte hash for 48 bytes. Quick and dirty.
  133. // Callers do best to use "random-looking" values for a and b.
  134. static pair<u64, u64> WeakHashLen32WithSeeds(u64 w, u64 x, u64 y, u64 z, u64 a, u64 b) {
  135. a += w;
  136. b = Rotate(b + a + z, 21);
  137. u64 c = a;
  138. a += x;
  139. a += y;
  140. b += Rotate(a, 44);
  141. return make_pair(a + z, b + c);
  142. }
  143. // Return a 16-byte hash for s[0] ... s[31], a, and b. Quick and dirty.
  144. static pair<u64, u64> WeakHashLen32WithSeeds(const char* s, u64 a, u64 b) {
  145. return WeakHashLen32WithSeeds(Fetch64(s), Fetch64(s + 8), Fetch64(s + 16), Fetch64(s + 24), a,
  146. b);
  147. }
  148. // Return an 8-byte hash for 33 to 64 bytes.
  149. static u64 HashLen33to64(const char* s, size_t len) {
  150. u64 mul = k2 + len * 2;
  151. u64 a = Fetch64(s) * k2;
  152. u64 b = Fetch64(s + 8);
  153. u64 c = Fetch64(s + len - 24);
  154. u64 d = Fetch64(s + len - 32);
  155. u64 e = Fetch64(s + 16) * k2;
  156. u64 f = Fetch64(s + 24) * 9;
  157. u64 g = Fetch64(s + len - 8);
  158. u64 h = Fetch64(s + len - 16) * mul;
  159. u64 u = Rotate(a + g, 43) + (Rotate(b, 30) + c) * 9;
  160. u64 v = ((a + g) ^ d) + f + 1;
  161. u64 w = swap64((u + v) * mul) + h;
  162. u64 x = Rotate(e + f, 42) + c;
  163. u64 y = (swap64((v + w) * mul) + g) * mul;
  164. u64 z = e + f + c;
  165. a = swap64((x + z) * mul + y) + b;
  166. b = ShiftMix((z + a) * mul + d + h) * mul;
  167. return b + x;
  168. }
  169. u64 CityHash64(const char* s, size_t len) {
  170. if (len <= 32) {
  171. if (len <= 16) {
  172. return HashLen0to16(s, len);
  173. } else {
  174. return HashLen17to32(s, len);
  175. }
  176. } else if (len <= 64) {
  177. return HashLen33to64(s, len);
  178. }
  179. // For strings over 64 bytes we hash the end first, and then as we
  180. // loop we keep 56 bytes of state: v, w, x, y, and z.
  181. u64 x = Fetch64(s + len - 40);
  182. u64 y = Fetch64(s + len - 16) + Fetch64(s + len - 56);
  183. u64 z = HashLen16(Fetch64(s + len - 48) + len, Fetch64(s + len - 24));
  184. pair<u64, u64> v = WeakHashLen32WithSeeds(s + len - 64, len, z);
  185. pair<u64, u64> w = WeakHashLen32WithSeeds(s + len - 32, y + k1, x);
  186. x = x * k1 + Fetch64(s);
  187. // Decrease len to the nearest multiple of 64, and operate on 64-byte chunks.
  188. len = (len - 1) & ~static_cast<size_t>(63);
  189. do {
  190. x = Rotate(x + y + v.first + Fetch64(s + 8), 37) * k1;
  191. y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1;
  192. x ^= w.second;
  193. y += v.first + Fetch64(s + 40);
  194. z = Rotate(z + w.first, 33) * k1;
  195. v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
  196. w = WeakHashLen32WithSeeds(s + 32, z + w.second, y + Fetch64(s + 16));
  197. std::swap(z, x);
  198. s += 64;
  199. len -= 64;
  200. } while (len != 0);
  201. return HashLen16(HashLen16(v.first, w.first) + ShiftMix(y) * k1 + z,
  202. HashLen16(v.second, w.second) + x);
  203. }
  204. u64 CityHash64WithSeed(const char* s, size_t len, u64 seed) {
  205. return CityHash64WithSeeds(s, len, k2, seed);
  206. }
  207. u64 CityHash64WithSeeds(const char* s, size_t len, u64 seed0, u64 seed1) {
  208. return HashLen16(CityHash64(s, len) - seed0, seed1);
  209. }
  210. // A subroutine for CityHash128(). Returns a decent 128-bit hash for strings
  211. // of any length representable in signed long. Based on City and Murmur.
  212. static u128 CityMurmur(const char* s, size_t len, u128 seed) {
  213. u64 a = seed[0];
  214. u64 b = seed[1];
  215. u64 c = 0;
  216. u64 d = 0;
  217. signed long l = static_cast<long>(len) - 16;
  218. if (l <= 0) { // len <= 16
  219. a = ShiftMix(a * k1) * k1;
  220. c = b * k1 + HashLen0to16(s, len);
  221. d = ShiftMix(a + (len >= 8 ? Fetch64(s) : c));
  222. } else { // len > 16
  223. c = HashLen16(Fetch64(s + len - 8) + k1, a);
  224. d = HashLen16(b + len, c + Fetch64(s + len - 16));
  225. a += d;
  226. do {
  227. a ^= ShiftMix(Fetch64(s) * k1) * k1;
  228. a *= k1;
  229. b ^= a;
  230. c ^= ShiftMix(Fetch64(s + 8) * k1) * k1;
  231. c *= k1;
  232. d ^= c;
  233. s += 16;
  234. l -= 16;
  235. } while (l > 0);
  236. }
  237. a = HashLen16(a, c);
  238. b = HashLen16(d, b);
  239. return u128{a ^ b, HashLen16(b, a)};
  240. }
  241. u128 CityHash128WithSeed(const char* s, size_t len, u128 seed) {
  242. if (len < 128) {
  243. return CityMurmur(s, len, seed);
  244. }
  245. // We expect len >= 128 to be the common case. Keep 56 bytes of state:
  246. // v, w, x, y, and z.
  247. pair<u64, u64> v, w;
  248. u64 x = seed[0];
  249. u64 y = seed[1];
  250. u64 z = len * k1;
  251. v.first = Rotate(y ^ k1, 49) * k1 + Fetch64(s);
  252. v.second = Rotate(v.first, 42) * k1 + Fetch64(s + 8);
  253. w.first = Rotate(y + z, 35) * k1 + x;
  254. w.second = Rotate(x + Fetch64(s + 88), 53) * k1;
  255. // This is the same inner loop as CityHash64(), manually unrolled.
  256. do {
  257. x = Rotate(x + y + v.first + Fetch64(s + 8), 37) * k1;
  258. y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1;
  259. x ^= w.second;
  260. y += v.first + Fetch64(s + 40);
  261. z = Rotate(z + w.first, 33) * k1;
  262. v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
  263. w = WeakHashLen32WithSeeds(s + 32, z + w.second, y + Fetch64(s + 16));
  264. std::swap(z, x);
  265. s += 64;
  266. x = Rotate(x + y + v.first + Fetch64(s + 8), 37) * k1;
  267. y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1;
  268. x ^= w.second;
  269. y += v.first + Fetch64(s + 40);
  270. z = Rotate(z + w.first, 33) * k1;
  271. v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
  272. w = WeakHashLen32WithSeeds(s + 32, z + w.second, y + Fetch64(s + 16));
  273. std::swap(z, x);
  274. s += 64;
  275. len -= 128;
  276. } while (LIKELY(len >= 128));
  277. x += Rotate(v.first + z, 49) * k0;
  278. y = y * k0 + Rotate(w.second, 37);
  279. z = z * k0 + Rotate(w.first, 27);
  280. w.first *= 9;
  281. v.first *= k0;
  282. // If 0 < len < 128, hash up to 4 chunks of 32 bytes each from the end of s.
  283. for (size_t tail_done = 0; tail_done < len;) {
  284. tail_done += 32;
  285. y = Rotate(x + y, 42) * k0 + v.second;
  286. w.first += Fetch64(s + len - tail_done + 16);
  287. x = x * k0 + w.first;
  288. z += w.second + Fetch64(s + len - tail_done);
  289. w.second += v.first;
  290. v = WeakHashLen32WithSeeds(s + len - tail_done, v.first + z, v.second);
  291. v.first *= k0;
  292. }
  293. // At this point our 56 bytes of state should contain more than
  294. // enough information for a strong 128-bit hash. We use two
  295. // different 56-byte-to-8-byte hashes to get a 16-byte final result.
  296. x = HashLen16(x, v.first);
  297. y = HashLen16(y + z, w.first);
  298. return u128{HashLen16(x + v.second, w.second) + y, HashLen16(x + w.second, y + v.second)};
  299. }
  300. u128 CityHash128(const char* s, size_t len) {
  301. return len >= 16 ? CityHash128WithSeed(s + 16, len - 16, u128{Fetch64(s), Fetch64(s + 8) + k0})
  302. : CityHash128WithSeed(s, len, u128{k0, k1});
  303. }
  304. } // namespace Common