http://blog.csdn.net/perfectpdl/article/details/6864351
http://zh.wikipedia.org/wiki/%E5%93%88%E5%B8%8C%E8%A1%A8
http://en.wikipedia.org/wiki/Hash_table
哈希算法将任意长度的二进制值映射为固定长度的较小二进制值,这个小的二进制值称为哈希值。哈希值是一段数据唯一且极其紧凑的数值表示形式。如果散列一段明文而且哪怕只更改该段落的一个字母,随后的哈希都将产生不同的值。要找到散列为同一个值的两个不同的输入,在计算上是不可能的,所以数据的哈希值可以检验数据的完整性。
链表查找的时间效率为O(N),二分法为log2N,B+ Tree为log2N,但Hash链表查找的时间效率为O(1)。
设计高效算法往往需要使用Hash链表,常数级的查找速度是任何别的算法无法比拟的,Hash链表的构造和冲突的不同实现方法对效率当然有一定的影响,然 而Hash函数是Hash链表最核心的部分,下面是几款经典软件中使用到的字符串Hash函数实现,通过阅读这些代码,我们可以在Hash算法的执行效率、离散性、空间利用率等方面有比较深刻的了解。
下面分别介绍几个经典软件中出现的字符串Hash函数。
●PHP中出现的字符串Hash函数
[cpp] view plain copy print ?
- static unsigned long hashpjw(char *arKey, unsigned int nKeyLength)
- {
- unsigned long h = 0, g;
- char *arEnd=arKey+nKeyLength;
- while (arKey < arEnd) {
- h = (h << 4) + *arKey++;
- if ((g = (h & 0xF0000000))) {
- h = h ^ (g >> 24);
- h = h ^ g;
- }
- }
- return h;
- }
●OpenSSL中出现的字符串Hash函数
/* The following hash seems to work very well on normal text strings * no collisions on /usr/dict/words and it distributes on %2^n quite * well, not as good as MD5, but still good. */[cpp] view plain copy print ?
- unsigned long lh_strhash(char *str)
- {
- int i,l;
- unsigned long ret=0;
- unsigned short *s;
- if (str == NULL) return(0);
- l=(strlen(str)+1)/2;
- s=(unsigned short *)str;
- for (i=0; i
- ret^=(s[i]<<(i&0x0f));
- return(ret);
- }
[cpp] view plain copy print ?
- unsigned long lh_strhash(const char *c)
- {
- unsigned long ret=0;
- long n;
- unsigned long v;
- int r;
- if ((c == NULL) || (*c == '\0'))
- return(ret);
- /*
- unsigned char b[16];
- MD5(c,strlen(c),b);
- return(b[0]|(b[1]<<8)|(b[2]<<16)|(b[3]<<24));
- */
- n=0x100;
- while (*c)
- {
- v=n|(*c);
- n+=0x100;
- r= (int)((v>>2)^v)&0x0f;
- ret=(ret(32-r));
- ret&=0xFFFFFFFFL;
- ret^=v*v;
- c++;
- }
- return((ret>>16)^ret);
- }
●MySql中出现的字符串Hash函数
[cpp] view plain copy print ?
- #ifndef NEW_HASH_FUNCTION
- /* Calc hashvalue for a key */
- static uint calc_hashnr(const byte *key,uint length)
- {
- register uint nr=1, nr2=4;
- while (length--)
- {
- nr^= (((nr & 63)+nr2)*((uint) (uchar) *key++))+ (nr << 8);
- nr2+=3;
- }
- return((uint) nr);
- }
- /* Calc hashvalue for a key, case indepenently */
- static uint calc_hashnr_caseup(const byte *key,uint length)
- {
- register uint nr=1, nr2=4;
- while (length--)
- {
- nr^= (((nr & 63)+nr2)*((uint) (uchar) toupper(*key++)))+ (nr << 8);
- nr2+=3;
- }
- return((uint) nr);
- }
- #else
- /*
Mysql中对字符串Hash函数还区分了大小写[cpp] view plain copy print ?
- * Fowler/Noll/Vo hash
- *
- * The basis of the hash algorithm was taken from an idea sent by email to the
- * IEEE Posix P1003.2 mailing list from Phong Vo ([email protected]) and
- * Glenn Fowler ([email protected]). Landon Curt Noll ([email protected])
- * later improved on their algorithm.
- *
- * The magic is in the interesting relationship between the special prime
- * 16777619 (2^24 + 403) and 2^32 and 2^8.
- *
- * This hash produces the fewest collisions of any function that we've seen so
- * far, and works well on both numbers and strings.
- */
- uint calc_hashnr(const byte *key, uint len)
- {
- const byte *end=key+len;
- uint hash;
- for (hash = 0; key < end; key++)
- {
- hash *= 16777619;
- hash ^= (uint) *(uchar*) key;
- }
- return (hash);
- }
- uint calc_hashnr_caseup(const byte *key, uint len)
- {
- const byte *end=key+len;
- uint hash;
- for (hash = 0; key < end; key++)
- {
- hash *= 16777619;
- hash ^= (uint) (uchar) toupper(*key);
- }
- return (hash);
- }
- #endif
●另一个经典字符串Hash函数
[cpp] view plain copy print ?
- unsigned int hash(char *str)
- {
- register unsigned int h;
- register unsigned char *p;
- for(h=0, p = (unsigned char *)str; *p ; p++)
- h = 31 * h + *p;
- return h;
- }
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