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spooky.h
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spooky.h
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#ifndef OOCMAP_SPOOKY_H
#define OOCMAP_SPOOKY_H
//
// SpookyHash: a 128-bit noncryptographic hash function
// By Bob Jenkins, public domain
// Oct 31 2010: alpha, framework + SpookyHash::mix appears right
// Oct 31 2011: alpha again, mix only good to 2^^69 but rest appears right
// Dec 31 2011: beta, improved mix, tested it for 2-bit deltas
// Feb 2 2012: production, same bits as beta
// Feb 5 2012: adjusted definitions of uint* to be more portable
// Mar 30 2012: 3 bytes/cycle, not 4. Alpha was 4 but wasn't thorough enough.
// August 5 2012: SpookyV2 (different results)
//
// Up to 3 bytes/cycle for long messages. Reasonably fast for short messages.
// All 1 or 2 bit deltas achieve avalanche within 1% bias per output bit.
//
// This was developed for and tested on 64-bit x86-compatible processors.
// It assumes the processor is little-endian. There is a macro
// controlling whether unaligned reads are allowed (by default they are).
// This should be an equally good hash on big-endian machines, but it will
// compute different results on them than on little-endian machines.
//
// Google's CityHash has similar specs to SpookyHash, and CityHash is faster
// on new Intel boxes. MD4 and MD5 also have similar specs, but they are orders
// of magnitude slower. CRCs are two or more times slower, but unlike
// SpookyHash, they have nice math for combining the CRCs of pieces to form
// the CRCs of wholes. There are also cryptographic hashes, but those are even
// slower than MD5.
//
#include <stddef.h>
#ifdef _MSC_VER
# define INLINE __forceinline
typedef unsigned __int64 uint64;
typedef unsigned __int32 uint32;
typedef unsigned __int16 uint16;
typedef unsigned __int8 uint8;
#else
# include <stdint.h>
# define INLINE inline
typedef uint64_t uint64;
typedef uint32_t uint32;
typedef uint16_t uint16;
typedef uint8_t uint8;
#endif
class SpookyHash {
public:
//
// SpookyHash: hash a single message in one call, produce 128-bit output
//
static void hash128(
const void* message, // message to hash
size_t length, // length of message in bytes
uint64* hash1, // in/out: in seed 1, out hash value 1
uint64* hash2 // in/out: in seed 2, out hash value 2
);
//
// hash64: hash a single message in one call, return 64-bit output
//
static uint64 hash64(
const void* message, // message to hash
size_t length, // length of message in bytes
uint64 seed = 876170670 // seed
) {
uint64 hash1 = seed;
hash128(message, length, &hash1, &seed);
return hash1;
}
//
// hash32: hash a single message in one call, produce 32-bit output
//
static uint32 hash32(
const void* message, // message to hash
size_t length, // length of message in bytes
uint32 seed = 876170670
) {
uint64 hash1 = seed, hash2 = seed;
hash128(message, length, &hash1, &hash2);
return (uint32) hash1;
}
SpookyHash(
uint64 seed1 = 876170670, // any 64-bit value will do, including 0
uint64 seed2 = 37156667 // different seeds produce independent hashes
);
//
// update: add a piece of a message to a SpookyHash state
//
void update(
const void* message, // message fragment
size_t length // length of message fragment in bytes
);
//
// final: compute the hash for the current SpookyHash state
//
// This does not modify the state; you can keep updating it afterward
//
// The result is the same as if SpookyHash() had been called with
// all the pieces concatenated into one message.
//
void final(
uint64* hash1, // out only: first 64 bits of hash value.
uint64* hash2
); // out only: second 64 bits of hash value.
//
// left rotate a 64-bit value by k bytes
//
static INLINE uint64 rot64(uint64 x, int k) {
return (x << k) | (x >> (64 - k));
}
//
// This is used if the input is 96 bytes long or longer.
//
// The internal state is fully overwritten every 96 bytes.
// Every input bit appears to cause at least 128 bits of entropy
// before 96 other bytes are combined, when run forward or backward
// For every input bit,
// Two inputs differing in just that input bit
// Where "differ" means xor or subtraction
// And the base value is random
// When run forward or backwards one mix
// I tried 3 pairs of each; they all differed by at least 212 bits.
//
static INLINE void mix(
const uint64* data,
uint64& s0, uint64& s1, uint64& s2, uint64& s3,
uint64& s4, uint64& s5, uint64& s6, uint64& s7,
uint64& s8, uint64& s9, uint64& s10, uint64& s11
) {
s0 += data[0];
s2 ^= s10;
s11 ^= s0;
s0 = rot64(s0, 11);
s11 += s1;
s1 += data[1];
s3 ^= s11;
s0 ^= s1;
s1 = rot64(s1, 32);
s0 += s2;
s2 += data[2];
s4 ^= s0;
s1 ^= s2;
s2 = rot64(s2, 43);
s1 += s3;
s3 += data[3];
s5 ^= s1;
s2 ^= s3;
s3 = rot64(s3, 31);
s2 += s4;
s4 += data[4];
s6 ^= s2;
s3 ^= s4;
s4 = rot64(s4, 17);
s3 += s5;
s5 += data[5];
s7 ^= s3;
s4 ^= s5;
s5 = rot64(s5, 28);
s4 += s6;
s6 += data[6];
s8 ^= s4;
s5 ^= s6;
s6 = rot64(s6, 39);
s5 += s7;
s7 += data[7];
s9 ^= s5;
s6 ^= s7;
s7 = rot64(s7, 57);
s6 += s8;
s8 += data[8];
s10 ^= s6;
s7 ^= s8;
s8 = rot64(s8, 55);
s7 += s9;
s9 += data[9];
s11 ^= s7;
s8 ^= s9;
s9 = rot64(s9, 54);
s8 += s10;
s10 += data[10];
s0 ^= s8;
s9 ^= s10;
s10 = rot64(s10, 22);
s9 += s11;
s11 += data[11];
s1 ^= s9;
s10 ^= s11;
s11 = rot64(s11, 46);
s10 += s0;
}
//
// mix all 12 inputs together so that h0, h1 are a hash of them all.
//
// For two inputs differing in just the input bits
// Where "differ" means xor or subtraction
// And the base value is random, or a counting value starting at that bit
// The final result will have each bit of h0, h1 flip
// For every input bit,
// with probability 50 +- .3%
// For every pair of input bits,
// with probability 50 +- 3%
//
// This does not rely on the last mix() call having already mixed some.
// Two iterations was almost good enough for a 64-bit result, but a
// 128-bit result is reported, so end() does three iterations.
//
static INLINE void endPartial(
uint64& h0, uint64& h1, uint64& h2, uint64& h3,
uint64& h4, uint64& h5, uint64& h6, uint64& h7,
uint64& h8, uint64& h9, uint64& h10, uint64& h11
) {
h11 += h1;
h2 ^= h11;
h1 = rot64(h1, 44);
h0 += h2;
h3 ^= h0;
h2 = rot64(h2, 15);
h1 += h3;
h4 ^= h1;
h3 = rot64(h3, 34);
h2 += h4;
h5 ^= h2;
h4 = rot64(h4, 21);
h3 += h5;
h6 ^= h3;
h5 = rot64(h5, 38);
h4 += h6;
h7 ^= h4;
h6 = rot64(h6, 33);
h5 += h7;
h8 ^= h5;
h7 = rot64(h7, 10);
h6 += h8;
h9 ^= h6;
h8 = rot64(h8, 13);
h7 += h9;
h10 ^= h7;
h9 = rot64(h9, 38);
h8 += h10;
h11 ^= h8;
h10 = rot64(h10, 53);
h9 += h11;
h0 ^= h9;
h11 = rot64(h11, 42);
h10 += h0;
h1 ^= h10;
h0 = rot64(h0, 54);
}
static INLINE void end(
const uint64* data,
uint64& h0, uint64& h1, uint64& h2, uint64& h3,
uint64& h4, uint64& h5, uint64& h6, uint64& h7,
uint64& h8, uint64& h9, uint64& h10, uint64& h11
) {
h0 += data[0];
h1 += data[1];
h2 += data[2];
h3 += data[3];
h4 += data[4];
h5 += data[5];
h6 += data[6];
h7 += data[7];
h8 += data[8];
h9 += data[9];
h10 += data[10];
h11 += data[11];
endPartial(h0, h1, h2, h3, h4, h5, h6, h7, h8, h9, h10, h11);
endPartial(h0, h1, h2, h3, h4, h5, h6, h7, h8, h9, h10, h11);
endPartial(h0, h1, h2, h3, h4, h5, h6, h7, h8, h9, h10, h11);
}
//
// The goal is for each bit of the input to expand into 128 bits of
// apparent entropy before it is fully overwritten.
// n trials both set and cleared at least m bits of h0 h1 h2 h3
// n: 2 m: 29
// n: 3 m: 46
// n: 4 m: 57
// n: 5 m: 107
// n: 6 m: 146
// n: 7 m: 152
// when run forwards or backwards
// for all 1-bit and 2-bit diffs
// with diffs defined by either xor or subtraction
// with a base of all zeros plus a counter, or plus another bit, or random
//
static INLINE void shortMix(uint64& h0, uint64& h1, uint64& h2, uint64& h3) {
h2 = rot64(h2, 50);
h2 += h3;
h0 ^= h2;
h3 = rot64(h3, 52);
h3 += h0;
h1 ^= h3;
h0 = rot64(h0, 30);
h0 += h1;
h2 ^= h0;
h1 = rot64(h1, 41);
h1 += h2;
h3 ^= h1;
h2 = rot64(h2, 54);
h2 += h3;
h0 ^= h2;
h3 = rot64(h3, 48);
h3 += h0;
h1 ^= h3;
h0 = rot64(h0, 38);
h0 += h1;
h2 ^= h0;
h1 = rot64(h1, 37);
h1 += h2;
h3 ^= h1;
h2 = rot64(h2, 62);
h2 += h3;
h0 ^= h2;
h3 = rot64(h3, 34);
h3 += h0;
h1 ^= h3;
h0 = rot64(h0, 5);
h0 += h1;
h2 ^= h0;
h1 = rot64(h1, 36);
h1 += h2;
h3 ^= h1;
}
//
// mix all 4 inputs together so that h0, h1 are a hash of them all.
//
// For two inputs differing in just the input bits
// Where "differ" means xor or subtraction
// And the base value is random, or a counting value starting at that bit
// The final result will have each bit of h0, h1 flip
// For every input bit,
// with probability 50 +- .3% (it is probably better than that)
// For every pair of input bits,
// with probability 50 +- .75% (the worst case is approximately that)
//
static INLINE void shortEnd(uint64& h0, uint64& h1, uint64& h2, uint64& h3) {
h3 ^= h2;
h2 = rot64(h2, 15);
h3 += h2;
h0 ^= h3;
h3 = rot64(h3, 52);
h0 += h3;
h1 ^= h0;
h0 = rot64(h0, 26);
h1 += h0;
h2 ^= h1;
h1 = rot64(h1, 51);
h2 += h1;
h3 ^= h2;
h2 = rot64(h2, 28);
h3 += h2;
h0 ^= h3;
h3 = rot64(h3, 9);
h0 += h3;
h1 ^= h0;
h0 = rot64(h0, 47);
h1 += h0;
h2 ^= h1;
h1 = rot64(h1, 54);
h2 += h1;
h3 ^= h2;
h2 = rot64(h2, 32);
h3 += h2;
h0 ^= h3;
h3 = rot64(h3, 25);
h0 += h3;
h1 ^= h0;
h0 = rot64(h0, 63);
h1 += h0;
}
private:
//
// shortHash is used for messages under 192 bytes in length
// shortHash has a low startup cost, the normal mode is good for long
// keys, the cost crossover is at about 192 bytes. The two modes were
// held to the same quality bar.
//
static void shortHash(
const void* message, // message (array of bytes, not necessarily aligned)
size_t length, // length of message (in bytes)
uint64* hash1, // in/out: in the seed, out the hash value
uint64* hash2 // in/out: in the seed, out the hash value
);
// number of uint64's in internal state
static const size_t sc_numVars = 12;
// size of the internal state
static const size_t sc_blockSize = sc_numVars * 8;
// size of buffer of unhashed data, in bytes
static const size_t sc_bufSize = 2 * sc_blockSize;
//
// sc_const: a constant which:
// * is not zero
// * is odd
// * is a not-very-regular mix of 1's and 0's
// * does not need any other special mathematical properties
//
static const uint64 sc_const = 0xdeadbeefdeadbeefLL;
uint64 m_data[2 * sc_numVars]; // unhashed data, for partial messages
uint64 m_state[sc_numVars]; // internal state of the hash
size_t m_length; // total length of the input so far
uint8 m_remainder; // length of unhashed data stashed in m_data
};
#endif //OOCMAP_SPOOKY_H