// city.c - cityhash-c // CityHash on C // Copyright (c) 2011-2012, Alexander Nusov // // - original copyright notice - // 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 #include "city.h" 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; } #if !defined(WORDS_BIGENDIAN) #define uint32_in_expected_order(x) (x) #define uint64_in_expected_order(x) (x) #else #ifdef _MSC_VER #include #define bswap_32(x) _byteswap_ulong(x) #define bswap_64(x) _byteswap_uint64(x) #elif defined(__APPLE__) // Mac OS X / Darwin features #include #define bswap_32(x) OSSwapInt32(x) #define bswap_64(x) OSSwapInt64(x) #else #include #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 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; // Hash 128 input bits down to 64 bits of output. // This is intended to be a reasonably good hash function. static uint64 Hash128to64(const uint128 x) { // Murmur-inspired hashing. const uint64 kMul = 0x9ddfea08eb382d69ULL; uint64 a = (Uint128Low64(x) ^ Uint128High64(x)) * kMul, b; a ^= (a >> 47); b = (Uint128High64(x) ^ a) * kMul; b ^= (b >> 47); b *= kMul; return b; } // 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, size_t shift) { return (val >> shift) | (val << (64 - shift)); } static uint64 ShiftMix(uint64 val) { return val ^ (val >> 47); } static uint64 HashLen16(uint64 u, uint64 v) { uint128 result; result.first = u; result.second = v; return Hash128to64(result); } 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 = (uint32)(a) + ((uint32)(b) << 8); uint32 z = (uint32)len + ((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 WeakHashLen32WithSeeds( uint128 WeakHashLen32WithSeeds6( uint64 w, uint64 x, uint64 y, uint64 z, uint64 a, uint64 b) { uint128 result; uint64 c; a += w; b = Rotate(b + a + z, 21); c = a; a += x; a += y; b += Rotate(a, 44); result.first = (uint64) (a + z); result.second = (uint64) (b + c); return result; } // Return a 16-byte hash for s[0] ... s[31], a, and b. Quick and dirty. // static pair WeakHashLen32WithSeeds( uint128 WeakHashLen32WithSeeds( const char* s, uint64 a, uint64 b) { return WeakHashLen32WithSeeds6(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); uint64 vf, vs, wf, ws, r; a += Fetch64(s + 8); c += Rotate(a, 7); a += Fetch64(s + 16); vf = a + z; 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); wf = a + z; ws = b + Rotate(a, 31) + c; r = ShiftMix((vf + ws) * k2 + (wf + vs) * k0); return ShiftMix(r * k0 + vs) * k2; } uint64 CityHash64(const char *s, size_t len) { uint64 x, y, z, temp; uint128 v, w; 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. x = Fetch64(s + len - 40); y = Fetch64(s + len - 16) + Fetch64(s + len - 56); z = HashLen16(Fetch64(s + len - 48) + len, Fetch64(s + len - 24)); v = WeakHashLen32WithSeeds(s + len - 64, len, z); w = WeakHashLen32WithSeeds(s + len - 32, y + k1, x); x = x * k1 + Fetch64(s); // Decrease len to the nearest multiple of 64, and operate on 64-byte chunks. len = (len - 1) & ~(size_t)(63); do { x = Rotate(x + y + v.first + Fetch64(s + 8), 37) * k1; y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1; x ^= w.second; y += v.first + Fetch64(s + 40); z = Rotate(z + w.first, 33) * k1; v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first); w = WeakHashLen32WithSeeds(s + 32, z + w.second, y + Fetch64(s + 16)); temp = z; z = x; x = temp; 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 signed long. 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; uint128 result; signed long l = (long)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); result.first = (uint64) (a ^ b); result.second = (uint64) (HashLen16(b,a)); return result; } uint128 CityHash128WithSeed(const char *s, size_t len, uint128 seed) { uint128 v, w, result; uint64 x, y, z, temp; size_t tail_done; 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. x = Uint128Low64(seed); y = Uint128High64(seed); 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 + 8), 37) * k1; y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1; x ^= w.second; y += v.first + Fetch64(s + 40); z = Rotate(z + w.first, 33) * k1; v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first); w = WeakHashLen32WithSeeds(s + 32, z + w.second, y + Fetch64(s + 16)); temp = z; z = x; x = temp; s += 64; x = Rotate(x + y + v.first + Fetch64(s + 8), 37) * k1; y = Rotate(y + v.second + Fetch64(s + 48), 42) * k1; x ^= w.second; y += v.first + Fetch64(s + 40); z = Rotate(z + w.first, 33) * k1; v = WeakHashLen32WithSeeds(s, v.second * k1, x + w.first); w = WeakHashLen32WithSeeds(s + 32, z + w.second, y + Fetch64(s + 16)); temp = z; z = x; x = temp; s += 64; len -= 128; } while (LIKELY(len >= 128)); x += Rotate(v.first + z, 49) * k0; z += Rotate(w.first, 37) * k0; // If 0 < len < 128, hash up to 4 chunks of 32 bytes each from the end of s. for (tail_done = 0; tail_done < len; ) { tail_done += 32; y = Rotate(x + y, 42) * k0 + v.second; w.first += Fetch64(s + len - tail_done + 16); x = x * k0 + w.first; z += w.second + Fetch64(s + len - tail_done); w.second += v.first; v = WeakHashLen32WithSeeds(s + len - tail_done, v.first + z, v.second); } // At this point our 56 bytes of state should contain more than // enough information for a strong 128-bit hash. We use two // different 56-byte-to-8-byte hashes to get a 16-byte final result. x = HashLen16(x, v.first); y = HashLen16(y + z, w.first); result.first = (uint64) (HashLen16(x + v.second, w.second) + y); result.second = (uint64) HashLen16(x + w.second, y + v.second); return result; } uint128 CityHash128(const char *s, size_t len) { uint128 r; if (len >= 16) { r.first = (uint64) (Fetch64(s) ^ k3); r.second = (uint64) (Fetch64(s + 8)); return CityHash128WithSeed(s + 16, len - 16, r); } else if (len >= 8) { r.first = (uint64) (Fetch64(s) ^ (len * k0)); r.second = (uint64) (Fetch64(s + len - 8) ^ k1); return CityHash128WithSeed(NULL, 0, r); } else { r.first = (uint64) k0; r.second = (uint64) k1; return CityHash128WithSeed(s, len, r); } }