【密码学】一文读懂MurMurHash2

2022-06-12 2224

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简介： 上次我们聊过了一代的MurMurHash算法，是的，我又来水文章了，今天呢，接着来聊一下二代的MurMurHash算法，二代算法的整体结构实际上和一代算法差不太多，只是对于每一轮数据的处理过程当中的运算有一些差异，算法的来源依然是来自于Google官网给提供的源码，对着源码看的结构，对于这个算法呢，有两个版本，一个是32位的，一个是64位的，对于32位的算法和64位的算法，区别在于两个初始的魔数不同，整体运算过程还是十分相似的。

【密码学】一文读懂MurMurHash2

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上次我们聊过了一代的MurMurHash算法，是的，我又来水文章了，今天呢，接着来聊一下二代的MurMurHash算法，二代算法的整体结构实际上和一代算法差不太多，只是对于每一轮数据的处理过程当中的运算有一些差异，算法的来源依然是来自于Google官网给提供的源码，对着源码看的结构，对于这个算法呢，有两个版本，一个是32位的，一个是64位的，对于32位的算法和64位的算法，区别在于两个初始的魔数不同，整体运算过程还是十分相似的。

原始代码

先贴一下原汁原味的代码。

32位哈希算法

#include <iostream>
//-----------------------------------------------------------------------------
// MurmurHash2, by Austin Appleby
// Note - This code makes a few assumptions about how your machine behaves -
// 1. We can read a 4-byte value from any address without crashing
// 2. sizeof(int) == 4
// And it has a few limitations -
// 1. It will not work incrementally.
// 2. It will not produce the same results on little-endian and big-endian
//    machines.
// code from: https://sites.google.com/site/murmurhash/
unsigned int MurmurHash2(const void *key, int len, unsigned int seed) {
    // 'm' and 'r' are mixing constants generated offline.
    // They're not really 'magic', they just happen to work well.
    const unsigned int m = 0x5bd1e995;
    const int r = 24;
    // Initialize the hash to a 'random' value
    unsigned int h = seed ^ len;
    // Mix 4 bytes at a time into the hash
    const unsigned char *data = (const unsigned char *) key;
    while (len >= 4) {
        unsigned int k = *(unsigned int *) data;
        k *= m;
        k ^= k >> r;
        k *= m;
        h *= m;
        h ^= k;
        data += 4;
        len -= 4;
    }
    // Handle the last few bytes of the input array
    switch (len) {
        case 3:
            h ^= data[2] << 16;
        case 2:
            h ^= data[1] << 8;
        case 1:
            h ^= data[0];
            h *= m;
    };
    // Do a few final mixes of the hash to ensure the last few
    // bytes are well-incorporated.
    h ^= h >> 13;
    h *= m;
    h ^= h >> 15;
    return h;
}

64位哈希算法

//-----------------------------------------------------------------------------
// MurmurHash2, 64-bit versions, by Austin Appleby
// The same caveats as 32-bit MurmurHash2 apply here - beware of alignment
// and endian-ness issues if used across multiple platforms.
// 64-bit hash for 64-bit platforms
// code from: https://sites.google.com/site/murmurhash/
#include <iostream>
uint64_t MurmurHash64A(const void *key, int len, unsigned int seed) {
    const uint64_t m = 0xc6a4a7935bd1e995;
    const int r = 47;
    uint64_t h = seed ^ (len * m);
    const uint64_t *data = (const uint64_t *) key;
    const uint64_t *end = data + (len / 8);
    while (data != end) {
        uint64_t k = *data++;
        k *= m;
        k ^= k >> r;
        k *= m;
        h ^= k;
        h *= m;
    }
    const unsigned char *data2 = (const unsigned char *) data;
    switch (len & 7) {
        case 7:
            h ^= uint64_t(data2[6]) << 48;
        case 6:
            h ^= uint64_t(data2[5]) << 40;
        case 5:
            h ^= uint64_t(data2[4]) << 32;
        case 4:
            h ^= uint64_t(data2[3]) << 24;
        case 3:
            h ^= uint64_t(data2[2]) << 16;
        case 2:
            h ^= uint64_t(data2[1]) << 8;
        case 1:
            h ^= uint64_t(data2[0]);
            h *= m;
    };
    h ^= h >> r;
    h *= m;
    h ^= h >> r;
    return h;
}
// 64-bit hash for 32-bit platforms
uint64_t MurmurHash64B(const void *key, int len, unsigned int seed) {
    const unsigned int m = 0x5bd1e995;
    const int r = 24;
    unsigned int h1 = seed ^ len;
    unsigned int h2 = 0;
    const unsigned int *data = (const unsigned int *) key;
    while (len >= 8) {
        unsigned int k1 = *data++;
        k1 *= m;
        k1 ^= k1 >> r;
        k1 *= m;
        h1 *= m;
        h1 ^= k1;
        len -= 4;
        unsigned int k2 = *data++;
        k2 *= m;
        k2 ^= k2 >> r;
        k2 *= m;
        h2 *= m;
        h2 ^= k2;
        len -= 4;
    }
    if (len >= 4) {
        unsigned int k1 = *data++;
        k1 *= m;
        k1 ^= k1 >> r;
        k1 *= m;
        h1 *= m;
        h1 ^= k1;
        len -= 4;
    }
    switch (len) {
        case 3:
            h2 ^= ((unsigned char *) data)[2] << 16;
        case 2:
            h2 ^= ((unsigned char *) data)[1] << 8;
        case 1:
            h2 ^= ((unsigned char *) data)[0];
            h2 *= m;
    }
    h1 ^= h2 >> 18;
    h1 *= m;
    h2 ^= h1 >> 22;
    h2 *= m;
    h1 ^= h2 >> 17;
    h1 *= m;
    h2 ^= h1 >> 19;
    h2 *= m;
    uint64_t h = h1;
    h = (h << 32) | h2;
    return h;
}

如果读者看过前面讲过的一代的算法，那么对于二代算法来说，理解起来应该不算太难。

算法结构

这里，只画一个32位算法的图了，任性的偷懒一把。

$9{(_6_L9O2CJI3$N0}PSNPT.png$ MurMurHash

通过对比可以发现，这个实际上和一代的算法的整体结构是几乎一样的，只是哈希函数，和操作略有不同。

代码实现

Rust

还是用熟悉的语言，先用rust写一下吧。

use std::convert::TryInto;
fn murmurhash2(key: &[u8], seed: u32) -> u32 {
    let m = 0x5bd1e995;
    let r = 24;
    let len = key.len() as u32;
    let mut h = seed ^ len;
    let remain = len % 4;
    let mut offset = len;
    if remain > 0 {
        offset = len - remain;
    }
    let data = key[..(offset as usize)].chunks(4).map(|it| u32::from_le_bytes(it.try_into().unwrap())).collect::<Vec<u32>>();
    for k in data {
        let mut k = k;
        k = k.wrapping_mul(m);
        k ^= k >> r;
        k = k.wrapping_mul(m);
        h = h.wrapping_mul(m);
        h ^= k;
    }
    let shift_table = [0, 8, 16];
    while offset < len {
        h ^= (key[offset as usize] as u32).wrapping_shl(shift_table[(len - offset - 1) as usize]);
        offset += 1;
        if (len - offset) == 0 {
            h = h.wrapping_mul(m);
        }
    }
    // Do a few final mixes of the hash to ensure the last few
    // bytes are well-incorporated.
    h ^= h >> 13;
    h = h.wrapping_mul(m);
    h ^= h >> 15;
    h
}
fn murmurhash2_64a(key: &[u8], seed: u64) -> u64 {
    let m = 0xc6a4a7935bd1e995u64;
    let r = 47;
    let len = key.len() as u64;
    let mut h = seed ^ (len.wrapping_mul(m));
    let mut remain = len % 8;
    let mut offset = len;
    if remain > 0 {
        offset = len - remain;
    }
    let data = key[..(offset as usize)].chunks(8).map(|it| u64::from_le_bytes(it.try_into().unwrap())).collect::<Vec<u64>>();
    for k in data {
        let mut k = k;
        k = k.wrapping_mul(m);
        k ^= k >> r;
        k = k.wrapping_mul(m);
        h ^= k;
        h = h.wrapping_mul(m);
    }
    let shift_table = [0, 8, 16, 24, 32, 40, 48];
    while remain > 0 {
        h ^= (key[(len - (7 - remain)) as usize] as u64).wrapping_shl(shift_table[(remain - 1) as usize]);
        remain -= 1;
        if remain == 0 {
            h = h.wrapping_mul(m);
        }
    }
    // Do a few final mixes of the hash to ensure the last few
    // bytes are well-incorporated.
    h ^= h >> r;
    h = h.wrapping_mul(m);
    h ^= h >> r;
    h
}

Go

这里打算学一下go，然后这也用go来写一下，咋写咋感觉写的一股c味。

func murmurhash2(key []byte, seed uint32) uint32 {
  m := uint32(0x5bd1e995)
  r := 24
  keyLen := uint32(len(key))
  h := seed ^ keyLen
  offset := 0
  e := binary.LittleEndian
  for keyLen >= 4 {
    k := e.Uint32(key[offset : offset+4])
    k *= m
    k ^= k >> r
    k *= m
    h *= m
    h ^= k
    offset += 4
    keyLen -= 4
  }
  switch keyLen {
  case 3:
    h ^= uint32(key[offset+2]) << 16
    fallthrough
  case 2:
    h ^= uint32(key[offset+1]) << 8
    fallthrough
  case 1:
    h ^= uint32(key[offset])
    h *= m
  }
  h ^= h >> 13
  h *= m
  h ^= h >> 15
  return h
}
func murmurhash264a(key []byte, seed uint32) uint64 {
  m := uint64(0xc6a4a7935bd1e995)
  r := 47
  keyLen := uint64(len(key))
  h := uint64(seed) ^ (keyLen * m)
  offset := 0
  e := binary.LittleEndian
  for keyLen >= 8 {
    k := e.Uint64(key[offset : offset+8])
    fmt.Println(k)
    k *= m
    k ^= k >> r
    k *= m
    h ^= k
    h *= m
    offset += 8
    keyLen -= 8
  }
  switch keyLen {
  case 7:
    h ^= uint64(key[offset+6]) << 48
    fallthrough
  case 6:
    h ^= uint64(key[offset+5]) << 40
    fallthrough
  case 5:
    h ^= uint64(key[offset+4]) << 32
    fallthrough
  case 4:
    h ^= uint64(key[offset+3]) << 24
    fallthrough
  case 3:
    h ^= uint64(key[offset+2]) << 16
    fallthrough
  case 2:
    h ^= uint64(key[offset+1]) << 8
    fallthrough
  case 1:
    h ^= uint64(key[offset])
    h *= m
  }
  h ^= h >> r
  h *= m
  h ^= h >> r
  return h
}

小结

对于非密码学安全的哈希算法来说，这个实际上是比密码学安全的哈希过程要简单不少的，因为不需要保证一些安全特性，比如今天所讲解的MurMurHash对数据的处理只有一轮，处理完就结束了。

【密码学】一文读懂MurMurHash2

【密码学】一文读懂MurMurHash2

原始代码

32位哈希算法

64位哈希算法

算法结构

代码实现

Rust

Go

小结

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【密码学】一文读懂MurMurHash2

【密码学】一文读懂MurMurHash2

原始代码

32位哈希算法

64位哈希算法

算法结构

代码实现

Rust

Go

小结

热门文章

最新文章

相关电子书