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- // Copyright (c) 2011 Google, Inc.
- //
- // Permission is hereby granted, free of charge, to any person obtaining a copy
- // of this software and associated documentation files (the "Software"), to deal
- // in the Software without restriction, including without limitation the rights
- // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
- // copies of the Software, and to permit persons to whom the Software is
- // furnished to do so, subject to the following conditions:
- //
- // The above copyright notice and this permission notice shall be included in
- // all copies or substantial portions of the Software.
- //
- // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
- // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
- // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
- // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
- // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
- // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
- // THE SOFTWARE.
- //
- // CityHash, by Geoff Pike and Jyrki Alakuijala
- //
- // This file provides CityHash64() and related functions.
- //
- // It's probably possible to create even faster hash functions by
- // writing a program that systematically explores some of the space of
- // possible hash functions, by using SIMD instructions, or by
- // compromising on hash quality.
- #include "config.h"
- #include <city.h>
- #include <algorithm>
- #include <string.h> // for memcpy and memset
- #ifdef __SSE4_2__
- #include <citycrc.h>
- #include <nmmintrin.h>
- #endif
- using namespace std;
- #if !defined(WORDS_BIGENDIAN)
- #define uint32_in_expected_order(x) (x)
- #define uint64_in_expected_order(x) (x)
- #else
- #ifdef _MSC_VER
- #include <stdlib.h>
- #define bswap_32(x) _byteswap_ulong(x)
- #define bswap_64(x) _byteswap_uint64(x)
- #elif defined(__APPLE__)
- // Mac OS X / Darwin features
- #include <libkern/OSByteOrder.h>
- #define bswap_32(x) OSSwapInt32(x)
- #define bswap_64(x) OSSwapInt64(x)
- #else
- #include <byteswap.h>
- #endif
- #define uint32_in_expected_order(x) (bswap_32(x))
- #define uint64_in_expected_order(x) (bswap_64(x))
- #endif // WORDS_BIGENDIAN
- #if !defined(LIKELY)
- #if HAVE_BUILTIN_EXPECT
- #define LIKELY(x) (__builtin_expect(!!(x), 1))
- #else
- #define LIKELY(x) (x)
- #endif
- #endif
- namespace CityHash_v1_0_2
- {
- static uint64 UNALIGNED_LOAD64(const char *p) {
- uint64 result;
- memcpy(&result, p, sizeof(result));
- return result;
- }
- static uint32 UNALIGNED_LOAD32(const char *p) {
- uint32 result;
- memcpy(&result, p, sizeof(result));
- return result;
- }
- static uint64 Fetch64(const char *p) {
- return uint64_in_expected_order(UNALIGNED_LOAD64(p));
- }
- static uint32 Fetch32(const char *p) {
- return uint32_in_expected_order(UNALIGNED_LOAD32(p));
- }
- // Some primes between 2^63 and 2^64 for various uses.
- static const uint64 k0 = 0xc3a5c85c97cb3127ULL;
- static const uint64 k1 = 0xb492b66fbe98f273ULL;
- static const uint64 k2 = 0x9ae16a3b2f90404fULL;
- static const uint64 k3 = 0xc949d7c7509e6557ULL;
- // Bitwise right rotate. Normally this will compile to a single
- // instruction, especially if the shift is a manifest constant.
- static uint64 Rotate(uint64 val, int shift) {
- // Avoid shifting by 64: doing so yields an undefined result.
- return shift == 0 ? val : ((val >> shift) | (val << (64 - shift)));
- }
- // Equivalent to Rotate(), but requires the second arg to be non-zero.
- // On x86-64, and probably others, it's possible for this to compile
- // to a single instruction if both args are already in registers.
- static uint64 RotateByAtLeast1(uint64 val, int shift) {
- return (val >> shift) | (val << (64 - shift));
- }
- static uint64 ShiftMix(uint64 val) {
- return val ^ (val >> 47);
- }
- static uint64 HashLen16(uint64 u, uint64 v) {
- return Hash128to64(uint128(u, v));
- }
- static uint64 HashLen0to16(const char *s, size_t len) {
- if (len > 8) {
- uint64 a = Fetch64(s);
- uint64 b = Fetch64(s + len - 8);
- return HashLen16(a, RotateByAtLeast1(b + len, len)) ^ b;
- }
- if (len >= 4) {
- uint64 a = Fetch32(s);
- return HashLen16(len + (a << 3), Fetch32(s + len - 4));
- }
- if (len > 0) {
- uint8 a = s[0];
- uint8 b = s[len >> 1];
- uint8 c = s[len - 1];
- uint32 y = static_cast<uint32>(a) + (static_cast<uint32>(b) << 8);
- uint32 z = len + (static_cast<uint32>(c) << 2);
- return ShiftMix(y * k2 ^ z * k3) * k2;
- }
- return k2;
- }
- // This probably works well for 16-byte strings as well, but it may be overkill
- // in that case.
- static uint64 HashLen17to32(const char *s, size_t len) {
- uint64 a = Fetch64(s) * k1;
- uint64 b = Fetch64(s + 8);
- uint64 c = Fetch64(s + len - 8) * k2;
- uint64 d = Fetch64(s + len - 16) * k0;
- return HashLen16(Rotate(a - b, 43) + Rotate(c, 30) + d,
- a + Rotate(b ^ k3, 20) - c + len);
- }
- // Return a 16-byte hash for 48 bytes. Quick and dirty.
- // Callers do best to use "random-looking" values for a and b.
- static pair<uint64, uint64> WeakHashLen32WithSeeds(
- uint64 w, uint64 x, uint64 y, uint64 z, uint64 a, uint64 b) {
- a += w;
- b = Rotate(b + a + z, 21);
- uint64 c = a;
- a += x;
- a += y;
- b += Rotate(a, 44);
- return make_pair(a + z, b + c);
- }
- // Return a 16-byte hash for s[0] ... s[31], a, and b. Quick and dirty.
- static pair<uint64, uint64> WeakHashLen32WithSeeds(
- const char* s, uint64 a, uint64 b) {
- return WeakHashLen32WithSeeds(Fetch64(s),
- Fetch64(s + 8),
- Fetch64(s + 16),
- Fetch64(s + 24),
- a,
- b);
- }
- // Return an 8-byte hash for 33 to 64 bytes.
- static uint64 HashLen33to64(const char *s, size_t len) {
- uint64 z = Fetch64(s + 24);
- uint64 a = Fetch64(s) + (len + Fetch64(s + len - 16)) * k0;
- uint64 b = Rotate(a + z, 52);
- uint64 c = Rotate(a, 37);
- a += Fetch64(s + 8);
- c += Rotate(a, 7);
- a += Fetch64(s + 16);
- uint64 vf = a + z;
- uint64 vs = b + Rotate(a, 31) + c;
- a = Fetch64(s + 16) + Fetch64(s + len - 32);
- z = Fetch64(s + len - 8);
- b = Rotate(a + z, 52);
- c = Rotate(a, 37);
- a += Fetch64(s + len - 24);
- c += Rotate(a, 7);
- a += Fetch64(s + len - 16);
- uint64 wf = a + z;
- uint64 ws = b + Rotate(a, 31) + c;
- uint64 r = ShiftMix((vf + ws) * k2 + (wf + vs) * k0);
- return ShiftMix(r * k0 + vs) * k2;
- }
- uint64 CityHash64(const char *s, size_t len) {
- if (len <= 32) {
- if (len <= 16) {
- return HashLen0to16(s, len);
- } else {
- return HashLen17to32(s, len);
- }
- } else if (len <= 64) {
- return HashLen33to64(s, len);
- }
- // For strings over 64 bytes we hash the end first, and then as we
- // loop we keep 56 bytes of state: v, w, x, y, and z.
- uint64 x = Fetch64(s);
- uint64 y = Fetch64(s + len - 16) ^ k1;
- uint64 z = Fetch64(s + len - 56) ^ k0;
- pair<uint64, uint64> v = WeakHashLen32WithSeeds(s + len - 64, len, y);
- pair<uint64, uint64> w = WeakHashLen32WithSeeds(s + len - 32, len * k1, k0);
- z += ShiftMix(v.second) * k1;
- x = Rotate(z + x, 39) * k1;
- y = Rotate(y, 33) * k1;
- // Decrease len to the nearest multiple of 64, and operate on 64-byte chunks.
- len = (len - 1) & ~static_cast<size_t>(63);
- do {
- x = Rotate(x + y + v.first + Fetch64(s + 16), 37) * k1;
- y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1;
- x ^= w.second;
- y ^= v.first;
- z = Rotate(z ^ w.first, 33);
- v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
- w = WeakHashLen32WithSeeds(s + 32, z + w.second, y);
- std::swap(z, x);
- s += 64;
- len -= 64;
- } while (len != 0);
- return HashLen16(HashLen16(v.first, w.first) + ShiftMix(y) * k1 + z,
- HashLen16(v.second, w.second) + x);
- }
- uint64 CityHash64WithSeed(const char *s, size_t len, uint64 seed) {
- return CityHash64WithSeeds(s, len, k2, seed);
- }
- uint64 CityHash64WithSeeds(const char *s, size_t len,
- uint64 seed0, uint64 seed1) {
- return HashLen16(CityHash64(s, len) - seed0, seed1);
- }
- // A subroutine for CityHash128(). Returns a decent 128-bit hash for strings
- // of any length representable in ssize_t. Based on City and Murmur.
- static uint128 CityMurmur(const char *s, size_t len, uint128 seed) {
- uint64 a = Uint128Low64(seed);
- uint64 b = Uint128High64(seed);
- uint64 c = 0;
- uint64 d = 0;
- ssize_t l = len - 16;
- if (l <= 0) { // len <= 16
- a = ShiftMix(a * k1) * k1;
- c = b * k1 + HashLen0to16(s, len);
- d = ShiftMix(a + (len >= 8 ? Fetch64(s) : c));
- } else { // len > 16
- c = HashLen16(Fetch64(s + len - 8) + k1, a);
- d = HashLen16(b + len, c + Fetch64(s + len - 16));
- a += d;
- do {
- a ^= ShiftMix(Fetch64(s) * k1) * k1;
- a *= k1;
- b ^= a;
- c ^= ShiftMix(Fetch64(s + 8) * k1) * k1;
- c *= k1;
- d ^= c;
- s += 16;
- l -= 16;
- } while (l > 0);
- }
- a = HashLen16(a, c);
- b = HashLen16(d, b);
- return uint128(a ^ b, HashLen16(b, a));
- }
- uint128 CityHash128WithSeed(const char *s, size_t len, uint128 seed) {
- if (len < 128) {
- return CityMurmur(s, len, seed);
- }
- // We expect len >= 128 to be the common case. Keep 56 bytes of state:
- // v, w, x, y, and z.
- pair<uint64, uint64> v, w;
- uint64 x = Uint128Low64(seed);
- uint64 y = Uint128High64(seed);
- uint64 z = len * k1;
- v.first = Rotate(y ^ k1, 49) * k1 + Fetch64(s);
- v.second = Rotate(v.first, 42) * k1 + Fetch64(s + 8);
- w.first = Rotate(y + z, 35) * k1 + x;
- w.second = Rotate(x + Fetch64(s + 88), 53) * k1;
- // This is the same inner loop as CityHash64(), manually unrolled.
- do {
- x = Rotate(x + y + v.first + Fetch64(s + 16), 37) * k1;
- y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1;
- x ^= w.second;
- y ^= v.first;
- z = Rotate(z ^ w.first, 33);
- v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
- w = WeakHashLen32WithSeeds(s + 32, z + w.second, y);
- std::swap(z, x);
- s += 64;
- x = Rotate(x + y + v.first + Fetch64(s + 16), 37) * k1;
- y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1;
- x ^= w.second;
- y ^= v.first;
- z = Rotate(z ^ w.first, 33);
- v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first);
- w = WeakHashLen32WithSeeds(s + 32, z + w.second, y);
- std::swap(z, x);
- s += 64;
- len -= 128;
- } while (LIKELY(len >= 128));
- y += Rotate(w.first, 37) * k0 + z;
- x += Rotate(v.first + z, 49) * k0;
- // If 0 < len < 128, hash up to 4 chunks of 32 bytes each from the end of s.
- for (size_t tail_done = 0; tail_done < len; ) {
- tail_done += 32;
- y = Rotate(y - x, 42) * k0 + v.second;
- w.first += Fetch64(s + len - tail_done + 16);
- x = Rotate(x, 49) * k0 + w.first;
- w.first += v.first;
- v = WeakHashLen32WithSeeds(s + len - tail_done, v.first, v.second);
- }
- // At this point our 48 bytes of state should contain more than
- // enough information for a strong 128-bit hash. We use two
- // different 48-byte-to-8-byte hashes to get a 16-byte final result.
- x = HashLen16(x, v.first);
- y = HashLen16(y, w.first);
- return uint128(HashLen16(x + v.second, w.second) + y,
- HashLen16(x + w.second, y + v.second));
- }
- uint128 CityHash128(const char *s, size_t len) {
- if (len >= 16) {
- return CityHash128WithSeed(s + 16,
- len - 16,
- uint128(Fetch64(s) ^ k3,
- Fetch64(s + 8)));
- } else if (len >= 8) {
- return CityHash128WithSeed(NULL,
- 0,
- uint128(Fetch64(s) ^ (len * k0),
- Fetch64(s + len - 8) ^ k1));
- } else {
- return CityHash128WithSeed(s, len, uint128(k0, k1));
- }
- }
- #ifdef __SSE4_2__
- // Requires len >= 240.
- static void CityHashCrc256Long(const char *s, size_t len,
- uint32 seed, uint64 *result) {
- uint64 a = Fetch64(s + 56) + k0;
- uint64 b = Fetch64(s + 96) + k0;
- uint64 c = result[1] = HashLen16(b, len);
- uint64 d = result[2] = Fetch64(s + 120) * k0 + len;
- uint64 e = Fetch64(s + 184) + seed;
- uint64 f = seed;
- uint64 g = 0;
- uint64 h = 0;
- uint64 i = 0;
- uint64 j = 0;
- uint64 t = c + d;
- // 240 bytes of input per iter.
- size_t iters = len / 240;
- len -= iters * 240;
- do {
- #define CHUNK(multiplier, z) \
- { \
- uint64 old_a = a; \
- a = Rotate(b, 41 ^ z) * multiplier + Fetch64(s); \
- b = Rotate(c, 27 ^ z) * multiplier + Fetch64(s + 8); \
- c = Rotate(d, 41 ^ z) * multiplier + Fetch64(s + 16); \
- d = Rotate(e, 33 ^ z) * multiplier + Fetch64(s + 24); \
- e = Rotate(t, 25 ^ z) * multiplier + Fetch64(s + 32); \
- t = old_a; \
- } \
- f = _mm_crc32_u64(f, a); \
- g = _mm_crc32_u64(g, b); \
- h = _mm_crc32_u64(h, c); \
- i = _mm_crc32_u64(i, d); \
- j = _mm_crc32_u64(j, e); \
- s += 40
- CHUNK(1, 1); CHUNK(k0, 0);
- CHUNK(1, 1); CHUNK(k0, 0);
- CHUNK(1, 1); CHUNK(k0, 0);
- } while (--iters > 0);
- j += i << 32;
- a = HashLen16(a, j);
- h += g << 32;
- b = b * k0 + h;
- c = HashLen16(c, f) + i;
- d = HashLen16(d, e);
- pair<uint64, uint64> v(j + e, HashLen16(h, t));
- h = v.second + f;
- // If 0 < len < 240, hash chunks of 32 bytes each from the end of s.
- for (size_t tail_done = 0; tail_done < len; ) {
- tail_done += 32;
- c = Rotate(c - a, 42) * k0 + v.second;
- d += Fetch64(s + len - tail_done + 16);
- a = Rotate(a, 49) * k0 + d;
- d += v.first;
- v = WeakHashLen32WithSeeds(s + len - tail_done, v.first, v.second);
- }
- // Final mix.
- e = HashLen16(a, d) + v.first;
- f = HashLen16(b, c) + a;
- g = HashLen16(v.first, v.second) + c;
- result[0] = e + f + g + h;
- a = ShiftMix((a + g) * k0) * k0 + b;
- result[1] += a + result[0];
- a = ShiftMix(a * k0) * k0 + c;
- result[2] += a + result[1];
- a = ShiftMix((a + e) * k0) * k0;
- result[3] = a + result[2];
- }
- // Requires len < 240.
- static void CityHashCrc256Short(const char *s, size_t len, uint64 *result) {
- char buf[240];
- memcpy(buf, s, len);
- memset(buf + len, 0, 240 - len);
- CityHashCrc256Long(buf, 240, ~static_cast<uint32>(len), result);
- }
- void CityHashCrc256(const char *s, size_t len, uint64 *result) {
- if (LIKELY(len >= 240)) {
- CityHashCrc256Long(s, len, 0, result);
- } else {
- CityHashCrc256Short(s, len, result);
- }
- }
- uint128 CityHashCrc128WithSeed(const char *s, size_t len, uint128 seed) {
- if (len <= 900) {
- return CityHash128WithSeed(s, len, seed);
- } else {
- uint64 result[4];
- CityHashCrc256(s, len, result);
- uint64 u = Uint128High64(seed) + result[0];
- uint64 v = Uint128Low64(seed) + result[1];
- return uint128(HashLen16(u, v + result[2]),
- HashLen16(Rotate(v, 32), u * k0 + result[3]));
- }
- }
- uint128 CityHashCrc128(const char *s, size_t len) {
- if (len <= 900) {
- return CityHash128(s, len);
- } else {
- uint64 result[4];
- CityHashCrc256(s, len, result);
- return uint128(result[2], result[3]);
- }
- }
- #endif // __SSE4_2__
- } // namespace CityHash_v1_0_2
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