#ifndef __LIBKERN_JENKINS_H__ #define __LIBKERN_JENKINS_H__ /* * Taken from http://burtleburtle.net/bob/c/lookup3.c */ #define rot(x,k) (((x)<<(k)) | ((x)>>(32-(k)))) /* ------------------------------------------------------------------------------- mix -- mix 3 32-bit values reversibly. This is reversible, so any information in (a,b,c) before mix() is still in (a,b,c) after mix(). If four pairs of (a,b,c) inputs are run through mix(), or through mix() in reverse, there are at least 32 bits of the output that are sometimes the same for one pair and different for another pair. This was tested for: * pairs that differed by one bit, by two bits, in any combination of top bits of (a,b,c), or in any combination of bottom bits of (a,b,c). * "differ" is defined as +, -, ^, or ~^. For + and -, I transformed the output delta to a Gray code (a^(a>>1)) so a string of 1's (as is commonly produced by subtraction) look like a single 1-bit difference. * the base values were pseudorandom, all zero but one bit set, or all zero plus a counter that starts at zero. Some k values for my "a-=c; a^=rot(c,k); c+=b;" arrangement that satisfy this are 4 6 8 16 19 4 9 15 3 18 27 15 14 9 3 7 17 3 Well, "9 15 3 18 27 15" didn't quite get 32 bits diffing for "differ" defined as + with a one-bit base and a two-bit delta. I used http://burtleburtle.net/bob/hash/avalanche.html to choose the operations, constants, and arrangements of the variables. This does not achieve avalanche. There are input bits of (a,b,c) that fail to affect some output bits of (a,b,c), especially of a. The most thoroughly mixed value is c, but it doesn't really even achieve avalanche in c. This allows some parallelism. Read-after-writes are good at doubling the number of bits affected, so the goal of mixing pulls in the opposite direction as the goal of parallelism. I did what I could. Rotates seem to cost as much as shifts on every machine I could lay my hands on, and rotates are much kinder to the top and bottom bits, so I used rotates. ------------------------------------------------------------------------------- */ #define mix(a,b,c) \ { \ a -= c; a ^= rot(c, 4); c += b; \ b -= a; b ^= rot(a, 6); a += c; \ c -= b; c ^= rot(b, 8); b += a; \ a -= c; a ^= rot(c,16); c += b; \ b -= a; b ^= rot(a,19); a += c; \ c -= b; c ^= rot(b, 4); b += a; \ } /* ------------------------------------------------------------------------------- final -- final mixing of 3 32-bit values (a,b,c) into c Pairs of (a,b,c) values differing in only a few bits will usually produce values of c that look totally different. This was tested for * pairs that differed by one bit, by two bits, in any combination of top bits of (a,b,c), or in any combination of bottom bits of (a,b,c). * "differ" is defined as +, -, ^, or ~^. For + and -, I transformed the output delta to a Gray code (a^(a>>1)) so a string of 1's (as is commonly produced by subtraction) look like a single 1-bit difference. * the base values were pseudorandom, all zero but one bit set, or all zero plus a counter that starts at zero. These constants passed: 14 11 25 16 4 14 24 12 14 25 16 4 14 24 and these came close: 4 8 15 26 3 22 24 10 8 15 26 3 22 24 11 8 15 26 3 22 24 ------------------------------------------------------------------------------- */ #define final(a,b,c) \ { \ c ^= b; c -= rot(b,14); \ a ^= c; a -= rot(c,11); \ b ^= a; b -= rot(a,25); \ c ^= b; c -= rot(b,16); \ a ^= c; a -= rot(c,4); \ b ^= a; b -= rot(a,14); \ c ^= b; c -= rot(b,24); \ } /* -------------------------------------------------------------------- This works on all machines. To be useful, it requires -- that the key be an array of uint32_t's, and -- that the length be the number of uint32_t's in the key The function hashword() is identical to hashlittle() on little-endian machines, and identical to hashbig() on big-endian machines, except that the length has to be measured in uint32_ts rather than in bytes. hashlittle() is more complicated than hashword() only because hashlittle() has to dance around fitting the key bytes into registers. -------------------------------------------------------------------- */ static uint32_t jenkins_hashword( const uint32_t *k, /* the key, an array of uint32_t values */ size_t length, /* the length of the key, in uint32_ts */ uint32_t initval /* the previous hash, or an arbitrary value */ ) { uint32_t a,b,c; /* Set up the internal state */ a = b = c = 0xdeadbeef + (((uint32_t)length)<<2) + initval; /*------------------------------------------------- handle most of the key */ while (length > 3) { a += k[0]; b += k[1]; c += k[2]; mix(a,b,c); length -= 3; k += 3; } /*------------------------------------------- handle the last 3 uint32_t's */ switch(length) /* all the case statements fall through */ { case 3 : c+=k[2]; case 2 : b+=k[1]; case 1 : a+=k[0]; final(a,b,c); case 0: /* case 0: nothing left to add */ break; } /*------------------------------------------------------ report the result */ return c; } #endif