各种哈希函数及代码

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昨天学了哈希表的使用,并且做了些题,对哈希比较了解了。今天就来做一下哈希算法的题,以便难题也会做……这个是转载别人的,因为哈希的实质就是确定每一组数据的地址,而怎么样确定地址才不会重复呢?如果重复的话,那查询的时候就会出错了;如果不想出错,那么哈希的结构体也可以加个链表,但是在有些题面前,不必这么用。所以就有了哈希函数,来最大的唯一的来确定每组数据的地址……

常用的字符串Hash函数还有ELFHash,APHash等等,都是十分简单有效的方法。这些函数使用

位运算使得每一个字符都对最后的函数值产生影响。另外还有以MD5和SHA1为代表的杂凑函数,

这些函数几乎不可能找到碰撞。

常用字符串哈希函数有BKDRHash,APHash,DJBHash,JSHash,RSHash,SDBMHash,

PJWHash,ELFHash等等。

BKDRHash无论是在实际效果还是编码实现中,效果都是最突出的。APHash也是较为优秀的算法。DJBHash,JSHash,RSHash与SDBMHash各有千秋。PJWHash与ELFHash效果最差,但得分相似,其算法本质是相似的。

各种哈希函数的C++语言程序代码

//简单哈希,平方取中

 for( i = 0; i < s; i++ )
 {
  hash = arr[i];
  hash *= hash;
  hash /= 256;
  hash %= 65535;

  hashTable[hash] = arr[i];
 }

 

//SDBMHash

unsigned int SDBMHash(char *str)

{

    unsigned int hash = 0;

    while (*str)

    {

        // equivalent to: hash = 65599*hash + (*str++);

        hash = (*str++) + (hash << 6) + (hash << 16) - hash;

    }

    return (hash & 0x7FFFFFFF);

}

 

// RS Hash

unsigned int RSHash(char *str)

{

    unsigned int b = 378551;

    unsigned int a = 63689;

    unsigned int hash = 0;

    while (*str)

    {

        hash = hash * a + (*str++);

        a *= b;

    }

    return (hash & 0x7FFFFFFF);

}

 

// JS Hash

unsigned int JSHash(char *str)

{

    unsigned int hash = 1315423911;

    while (*str)

    {

        hash ^= ((hash << 5) + (*str++) + (hash >> 2));

    }

    return (hash & 0x7FFFFFFF);

}

 

// P. J. Weinberger Hash

unsigned int PJWHash(char *str)

{

    unsigned int BitsInUnignedInt = (unsigned int)(sizeof(unsigned int) * 8);

   unsigned int ThreeQuarters    = (unsigned int)((BitsInUnignedInt  * 3) / 4);

    unsigned int OneEighth = (unsigned int)(BitsInUnignedInt / 8);

    unsigned int HighBits = (unsigned int)(0xFFFFFFFF) << (BitsInUnignedInt

                                               - OneEighth);

    unsigned int hash    = 0;

    unsigned int test    = 0;

    while (*str)

    {

        hash = (hash << OneEighth) + (*str++);

        if ((test = hash & HighBits) != 0)

        {

            hash = ((hash ^ (test >> ThreeQuarters)) & (~HighBits));

        }

    }

    return (hash & 0x7FFFFFFF);

}

 

// ELF Hash

unsigned int ELFHash(char *str)

{

    unsigned int hash = 0;

    unsigned int x    = 0;

    while (*str)

    {

        hash = (hash << 4) + (*str++);

        if ((x = hash & 0xF0000000L) != 0)

        {

            hash ^= (x >> 24);

            hash &= ~x;

        }

    }

    return (hash & 0x7FFFFFFF);

}

 

// BKDR Hash   效果出众,也是作者所说的效果是最突出的

unsigned int BKDRHash(char *str)

{

    unsigned int seed = 131; // 31 131 1313 13131 131313 etc..

    unsigned int hash = 0;

    while (*str)

    {

        hash = hash * seed + (*str++);

    }

    return (hash & 0x7FFFFFFF);

}

 

// DJB Hash

unsigned int DJBHash(char *str)

{

    unsigned int hash = 5381;

    while (*str)

    {

        hash += (hash << 5) + (*str++);

    }

    return (hash & 0x7FFFFFFF);

}

 

// AP Hash

unsigned int APHash(char *str)

{

    unsigned int hash = 0;

    int i;

    for (i=0; *str; i++)

    {

        if ((i & 1) == 0)

        {

            hash ^= ((hash << 7) ^ (*str++) ^ (hash >> 3));

        }

        else

        {

            hash ^= (~((hash << 11) ^ (*str++) ^ (hash >> 5)));

        }

    }

    return (hash & 0x7FFFFFFF);

}


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