哈希(Hash)函数汇总



## Fnv

FNV-1 hash

    hash = FNV_offset_basis
    for each byte_of_data to be hashed
           hash = hash × FNV_prime
           hash = hash XOR byte_of_data
    return hash

FNV-1a hash

    hash = FNV_offset_basis
    for each byte_of_data to be hashed
           hash = hash XOR byte_of_data
           hash = hash × FNV_prime
    return hash

FNV-0 hash (Deprecated)

    hash = 0
    for each byte_of_data to be hashed
           hash = hash × FNV_prime
           hash = hash XOR octet_of_data
    return hash

FNV parameters

Size in bits FNV prime FNV offset basis
32 224 + 28 + 0x93 =
16777619
2166136261 =
0x811c9dc5
64 240 + 28 + 0xb3 =
1099511628211
14695981039346656037 =
0xcbf29ce484222325
128 288 + 28 + 0x3b =
309485009821345068724781371
144066263297769815596495629667062367629
=
0x6c62272e07bb014262b821756295c58d
256 2168 + 28 + 0x63 =
374144419156711147060143317
175368453031918731002211
100029257958052580907070968620625704837
092796014241193945225284501741471925557
=
0xdd268dbcaac550362d98c384c4e576ccc8b153
6847b6bbb31023b4c8caee0535
512 2344 + 28 + 0x57 =
358359158748448673689190764
890951084499463279557543925
26094039892345713852759
965930312949666949800943540071631046609
041874567263789610837432943446265799458
293219771643844981305189220653980578449
5328239340083876191928701583869517785 =
0xb86db0b1171f4416dca1e50f309990acac87d0
59c90000000000000000000d21e948f68a34c192
f62ea79bc942dbe7ce182036415f56e34bac982a
ac4afe9fd9
1024 2680 + 28 + 0x8d =
501645651011311865543459881
103527895503076534540479074
430301752383111205510814745
150915769222029538271616265
187852689524938529229181652
437508374669137180409427187
316048473796672026038921768
4476157468082573
14197795064947621068722070641403218320
88062279544193396087847491461758272325
22967323037177221508640965212023555493
65628174669108571814760471015076148029
75596980407732015769245856300321530495
71501574036444603635505054127112859663
61610267868082893823963790439336411086
884584107735010676915
=
0x0000000000000000 005f7a76758ecc4d 32e56d5a591028b7 4b29fc4223fdada1
6c3bf34eda3674da 9a21d90000000000 0000000000000000 0000000000000000
0000000000000000 0000000000000000 0000000000000000 000000000004c6d7
eb6e73802734510a 555f256cc005ae55 6bde8cc9c6a93b21 aff4b16c71ee90b3

具体列子

public static long fnv_1a_64(String value) {
        if (value == null) {
            return 0;
        }
        long hash = FNV_1A_64_BASIC;
        for (int i = 0; i < value.length(); i++) {
            char c = value.charAt(i);
            hash ^= c;
            hash *= FNV_1A_64_PRIME;
        }

        return hash;
    }

    public static long fnv_1a_64_lower(String key) {
        long hash = FNV_1A_64_BASIC;
        for (int i = 0; i < key.length(); ++i) {
            char c = key.charAt(i);

            if (c >= 'A' && c <= 'Z') {
                c = (char) (c + 32);
            }

            hash ^= c;
            hash *= FNV_1A_64_PRIME;
        }

        return hash;
    }

MurmurHash3

//-----------------------------------------------------------------------------
// MurmurHash3 was written by Austin Appleby, and is placed in the public
// domain. The author hereby disclaims copyright to this source code.

// Note - The x86 and x64 versions do _not_ produce the same results, as the
// algorithms are optimized for their respective platforms. You can still
// compile and run any of them on any platform, but your performance with the
// non-native version will be less than optimal.

#include "MurmurHash3.h"

//-----------------------------------------------------------------------------
// Platform-specific functions and macros

// Microsoft Visual Studio

#if defined(_MSC_VER)

#define FORCE_INLINE    __forceinline

#include 

#define ROTL32(x,y)    _rotl(x,y)
#define ROTL64(x,y)    _rotl64(x,y)

#define BIG_CONSTANT(x) (x)

// Other compilers

#else    // defined(_MSC_VER)

#define    FORCE_INLINE inline __attribute__((always_inline))

inline uint32_t rotl32 ( uint32_t x, int8_t r )
{
  return (x << r) | (x >> (32 - r));
}

inline uint64_t rotl64 ( uint64_t x, int8_t r )
{
  return (x << r) | (x >> (64 - r));
}

#define    ROTL32(x,y)    rotl32(x,y)
#define ROTL64(x,y)    rotl64(x,y)

#define BIG_CONSTANT(x) (x##LLU)

#endif // !defined(_MSC_VER)

//-----------------------------------------------------------------------------
// Block read - if your platform needs to do endian-swapping or can only
// handle aligned reads, do the conversion here

FORCE_INLINE uint32_t getblock32 ( const uint32_t * p, int i )
{
  return p[i];
}

FORCE_INLINE uint64_t getblock64 ( const uint64_t * p, int i )
{
  return p[i];
}

//-----------------------------------------------------------------------------
// Finalization mix - force all bits of a hash block to avalanche

FORCE_INLINE uint32_t fmix32 ( uint32_t h )
{
  h ^= h >> 16;
  h *= 0x85ebca6b;
  h ^= h >> 13;
  h *= 0xc2b2ae35;
  h ^= h >> 16;

  return h;
}

//----------

FORCE_INLINE uint64_t fmix64 ( uint64_t k )
{
  k ^= k >> 33;
  k *= BIG_CONSTANT(0xff51afd7ed558ccd);
  k ^= k >> 33;
  k *= BIG_CONSTANT(0xc4ceb9fe1a85ec53);
  k ^= k >> 33;

  return k;
}

//-----------------------------------------------------------------------------

void MurmurHash3_x86_32 ( const void * key, int len,
                          uint32_t seed, void * out )
{
  const uint8_t * data = (const uint8_t*)key;
  const int nblocks = len / 4;

  uint32_t h1 = seed;

  const uint32_t c1 = 0xcc9e2d51;
  const uint32_t c2 = 0x1b873593;

  //----------
  // body

  const uint32_t * blocks = (const uint32_t *)(data + nblocks*4);

  for(int i = -nblocks; i; i++)
  {
    uint32_t k1 = getblock32(blocks,i);

    k1 *= c1;
    k1 = ROTL32(k1,15);
    k1 *= c2;
    
    h1 ^= k1;
    h1 = ROTL32(h1,13); 
    h1 = h1*5+0xe6546b64;
  }

  //----------
  // tail

  const uint8_t * tail = (const uint8_t*)(data + nblocks*4);

  uint32_t k1 = 0;

  switch(len & 3)
  {
  case 3: k1 ^= tail[2] << 16;
  case 2: k1 ^= tail[1] << 8;
  case 1: k1 ^= tail[0];
          k1 *= c1; k1 = ROTL32(k1,15); k1 *= c2; h1 ^= k1;
  };

  //----------
  // finalization

  h1 ^= len;

  h1 = fmix32(h1);

  *(uint32_t*)out = h1;
} 

//-----------------------------------------------------------------------------

void MurmurHash3_x86_128 ( const void * key, const int len,
                           uint32_t seed, void * out )
{
  const uint8_t * data = (const uint8_t*)key;
  const int nblocks = len / 16;

  uint32_t h1 = seed;
  uint32_t h2 = seed;
  uint32_t h3 = seed;
  uint32_t h4 = seed;

  const uint32_t c1 = 0x239b961b; 
  const uint32_t c2 = 0xab0e9789;
  const uint32_t c3 = 0x38b34ae5; 
  const uint32_t c4 = 0xa1e38b93;

  //----------
  // body

  const uint32_t * blocks = (const uint32_t *)(data + nblocks*16);

  for(int i = -nblocks; i; i++)
  {
    uint32_t k1 = getblock32(blocks,i*4+0);
    uint32_t k2 = getblock32(blocks,i*4+1);
    uint32_t k3 = getblock32(blocks,i*4+2);
    uint32_t k4 = getblock32(blocks,i*4+3);

    k1 *= c1; k1  = ROTL32(k1,15); k1 *= c2; h1 ^= k1;

    h1 = ROTL32(h1,19); h1 += h2; h1 = h1*5+0x561ccd1b;

    k2 *= c2; k2  = ROTL32(k2,16); k2 *= c3; h2 ^= k2;

    h2 = ROTL32(h2,17); h2 += h3; h2 = h2*5+0x0bcaa747;

    k3 *= c3; k3  = ROTL32(k3,17); k3 *= c4; h3 ^= k3;

    h3 = ROTL32(h3,15); h3 += h4; h3 = h3*5+0x96cd1c35;

    k4 *= c4; k4  = ROTL32(k4,18); k4 *= c1; h4 ^= k4;

    h4 = ROTL32(h4,13); h4 += h1; h4 = h4*5+0x32ac3b17;
  }

  //----------
  // tail

  const uint8_t * tail = (const uint8_t*)(data + nblocks*16);

  uint32_t k1 = 0;
  uint32_t k2 = 0;
  uint32_t k3 = 0;
  uint32_t k4 = 0;

  switch(len & 15)
  {
  case 15: k4 ^= tail[14] << 16;
  case 14: k4 ^= tail[13] << 8;
  case 13: k4 ^= tail[12] << 0;
           k4 *= c4; k4  = ROTL32(k4,18); k4 *= c1; h4 ^= k4;

  case 12: k3 ^= tail[11] << 24;
  case 11: k3 ^= tail[10] << 16;
  case 10: k3 ^= tail[ 9] << 8;
  case  9: k3 ^= tail[ 8] << 0;
           k3 *= c3; k3  = ROTL32(k3,17); k3 *= c4; h3 ^= k3;

  case  8: k2 ^= tail[ 7] << 24;
  case  7: k2 ^= tail[ 6] << 16;
  case  6: k2 ^= tail[ 5] << 8;
  case  5: k2 ^= tail[ 4] << 0;
           k2 *= c2; k2  = ROTL32(k2,16); k2 *= c3; h2 ^= k2;

  case  4: k1 ^= tail[ 3] << 24;
  case  3: k1 ^= tail[ 2] << 16;
  case  2: k1 ^= tail[ 1] << 8;
  case  1: k1 ^= tail[ 0] << 0;
           k1 *= c1; k1  = ROTL32(k1,15); k1 *= c2; h1 ^= k1;
  };

  //----------
  // finalization

  h1 ^= len; h2 ^= len; h3 ^= len; h4 ^= len;

  h1 += h2; h1 += h3; h1 += h4;
  h2 += h1; h3 += h1; h4 += h1;

  h1 = fmix32(h1);
  h2 = fmix32(h2);
  h3 = fmix32(h3);
  h4 = fmix32(h4);

  h1 += h2; h1 += h3; h1 += h4;
  h2 += h1; h3 += h1; h4 += h1;

  ((uint32_t*)out)[0] = h1;
  ((uint32_t*)out)[1] = h2;
  ((uint32_t*)out)[2] = h3;
  ((uint32_t*)out)[3] = h4;
}

//-----------------------------------------------------------------------------

void MurmurHash3_x64_128 ( const void * key, const int len,
                           const uint32_t seed, void * out )
{
  const uint8_t * data = (const uint8_t*)key;
  const int nblocks = len / 16;

  uint64_t h1 = seed;
  uint64_t h2 = seed;

  const uint64_t c1 = BIG_CONSTANT(0x87c37b91114253d5);
  const uint64_t c2 = BIG_CONSTANT(0x4cf5ad432745937f);

  //----------
  // body

  const uint64_t * blocks = (const uint64_t *)(data);

  for(int i = 0; i < nblocks; i++)
  {
    uint64_t k1 = getblock64(blocks,i*2+0);
    uint64_t k2 = getblock64(blocks,i*2+1);

    k1 *= c1; k1  = ROTL64(k1,31); k1 *= c2; h1 ^= k1;

    h1 = ROTL64(h1,27); h1 += h2; h1 = h1*5+0x52dce729;

    k2 *= c2; k2  = ROTL64(k2,33); k2 *= c1; h2 ^= k2;

    h2 = ROTL64(h2,31); h2 += h1; h2 = h2*5+0x38495ab5;
  }

  //----------
  // tail

  const uint8_t * tail = (const uint8_t*)(data + nblocks*16);

  uint64_t k1 = 0;
  uint64_t k2 = 0;

  switch(len & 15)
  {
  case 15: k2 ^= ((uint64_t)tail[14]) << 48;
  case 14: k2 ^= ((uint64_t)tail[13]) << 40;
  case 13: k2 ^= ((uint64_t)tail[12]) << 32;
  case 12: k2 ^= ((uint64_t)tail[11]) << 24;
  case 11: k2 ^= ((uint64_t)tail[10]) << 16;
  case 10: k2 ^= ((uint64_t)tail[ 9]) << 8;
  case  9: k2 ^= ((uint64_t)tail[ 8]) << 0;
           k2 *= c2; k2  = ROTL64(k2,33); k2 *= c1; h2 ^= k2;

  case  8: k1 ^= ((uint64_t)tail[ 7]) << 56;
  case  7: k1 ^= ((uint64_t)tail[ 6]) << 48;
  case  6: k1 ^= ((uint64_t)tail[ 5]) << 40;
  case  5: k1 ^= ((uint64_t)tail[ 4]) << 32;
  case  4: k1 ^= ((uint64_t)tail[ 3]) << 24;
  case  3: k1 ^= ((uint64_t)tail[ 2]) << 16;
  case  2: k1 ^= ((uint64_t)tail[ 1]) << 8;
  case  1: k1 ^= ((uint64_t)tail[ 0]) << 0;
           k1 *= c1; k1  = ROTL64(k1,31); k1 *= c2; h1 ^= k1;
  };

  //----------
  // finalization

  h1 ^= len; h2 ^= len;

  h1 += h2;
  h2 += h1;

  h1 = fmix64(h1);
  h2 = fmix64(h2);

  h1 += h2;
  h2 += h1;

  ((uint64_t*)out)[0] = h1;
  ((uint64_t*)out)[1] = h2;
}

//-----------------------------------------------------------------------------


**参考** [Fvn Hash Funciton wikipedia](https://en.wikipedia.org/wiki/Fowler%E2%80%93Noll%E2%80%93Vo_hash_function) https://github.com/aappleby/smhasher/blob/master/src/MurmurHash3.cpp

文章作者: Gumihoy
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