| /* | |
| ------------------------------------------------------------------------------- | |
| lookup3.c, by Bob Jenkins, May 2006, Public Domain. | |
| From website: "Update: I'm leaving the old hash ..., but I've got a new hash at | |
| http://burtleburtle.net/bob/c/lookup3.c (this code -- JLD) that is roughly twice | |
| as fast and more thorough than the one (used in lookup.c -- JLD). It's designed | |
| along the same lines as the hash below, 12 byte blocks, switch statements, etc. | |
| The biggest theoretical distinction is it has different mixing functions for the | |
| last block than for all but the last block, at 21 and 24 instructions, instead of | |
| the 36 instruction mix below that serves for both. It also has separate code paths | |
| for aligned and unaligned strings, to take advantage of 2-byte and 4-byte reads | |
| when it can. " | |
| These are functions for producing 32-bit hashes for hash table lookup. | |
| hashword(), hashlittle(), hashlittle2(), hashbig(), mix(), and final() | |
| are externally useful functions. Routines to test the hash are included | |
| if SELF_TEST is defined. You can use this free for any purpose. It's in | |
| the public domain. It has no warranty. | |
| You probably want to use hashlittle(). hashlittle() and hashbig() | |
| hash byte arrays. hashlittle() is is faster than hashbig() on | |
| little-endian machines. Intel and AMD are little-endian machines. | |
| On second thought, you probably want hashlittle2(), which is identical to | |
| hashlittle() except it returns two 32-bit hashes for the price of one. | |
| You could implement hashbig2() if you wanted but I haven't bothered here. | |
| If you want to find a hash of, say, exactly 7 integers, do | |
| a = i1; b = i2; c = i3; | |
| mix(a,b,c); | |
| a += i4; b += i5; c += i6; | |
| mix(a,b,c); | |
| a += i7; | |
| final(a,b,c); | |
| then use c as the hash value. If you have a variable length array of | |
| 4-byte integers to hash, use hashword(). If you have a byte array (like | |
| a character string), use hashlittle(). If you have several byte arrays, or | |
| a mix of things, see the comments above hashlittle(). | |
| Why is this so big? I read 12 bytes at a time into 3 4-byte integers, | |
| then mix those integers. This is fast (you can do a lot more thorough | |
| mixing with 12*3 instructions on 3 integers than you can with 3 instructions | |
| on 1 byte), but shoehorning those bytes into integers efficiently is messy. | |
| ------------------------------------------------------------------------------- | |
| */ | |
| #define SELF_TEST 1 | |
| #include <stdio.h> /* defines printf for tests */ | |
| #include <time.h> /* defines time_t for timings in the test */ | |
| #include <stdint.h> /* defines uint32_t etc */ | |
| #include <sys/param.h> /* attempt to define endianness */ | |
| #ifdef linux | |
| # include <endian.h> /* attempt to define endianness */ | |
| #endif | |
| /* | |
| * My best guess at if you are big-endian or little-endian. This may | |
| * need adjustment. | |
| */ | |
| #if (defined(__BYTE_ORDER) && defined(__LITTLE_ENDIAN) && \ | |
| __BYTE_ORDER == __LITTLE_ENDIAN) || \ | |
| (defined(i386) || defined(__i386__) || defined(__i486__) || \ | |
| defined(__i586__) || defined(__i686__) || defined(vax) || defined(MIPSEL)) | |
| # define HASH_LITTLE_ENDIAN 1 | |
| # define HASH_BIG_ENDIAN 0 | |
| #elif (defined(__BYTE_ORDER) && defined(__BIG_ENDIAN) && \ | |
| __BYTE_ORDER == __BIG_ENDIAN) || \ | |
| (defined(sparc) || defined(POWERPC) || defined(mc68000) || defined(sel)) | |
| # define HASH_LITTLE_ENDIAN 0 | |
| # define HASH_BIG_ENDIAN 1 | |
| #else | |
| # define HASH_LITTLE_ENDIAN 0 | |
| # define HASH_BIG_ENDIAN 0 | |
| #endif | |
| #define hashsize(n) ((uint32_t)1<<(n)) | |
| #define hashmask(n) (hashsize(n)-1) | |
| #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. | |
| -------------------------------------------------------------------- | |
| */ | |
| uint32_t 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; | |
| } | |
| /* | |
| -------------------------------------------------------------------- | |
| hashword2() -- same as hashword(), but take two seeds and return two | |
| 32-bit values. pc and pb must both be nonnull, and *pc and *pb must | |
| both be initialized with seeds. If you pass in (*pb)==0, the output | |
| (*pc) will be the same as the return value from hashword(). | |
| -------------------------------------------------------------------- | |
| */ | |
| void hashword2 ( | |
| 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 *pc, /* IN: seed OUT: primary hash value */ | |
| uint32_t *pb) /* IN: more seed OUT: secondary hash value */ | |
| { | |
| uint32_t a,b,c; | |
| /* Set up the internal state */ | |
| a = b = c = 0xdeadbeef + ((uint32_t)(length<<2)) + *pc; | |
| c += *pb; | |
| /*------------------------------------------------- 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 */ | |
| *pc=c; *pb=b; | |
| } | |
| /* | |
| ------------------------------------------------------------------------------- | |
| hashlittle() -- hash a variable-length key into a 32-bit value | |
| k : the key (the unaligned variable-length array of bytes) | |
| length : the length of the key, counting by bytes | |
| initval : can be any 4-byte value | |
| Returns a 32-bit value. Every bit of the key affects every bit of | |
| the return value. Two keys differing by one or two bits will have | |
| totally different hash values. | |
| The best hash table sizes are powers of 2. There is no need to do | |
| mod a prime (mod is sooo slow!). If you need less than 32 bits, | |
| use a bitmask. For example, if you need only 10 bits, do | |
| h = (h & hashmask(10)); | |
| In which case, the hash table should have hashsize(10) elements. | |
| If you are hashing n strings (uint8_t **)k, do it like this: | |
| for (i=0, h=0; i<n; ++i) h = hashlittle( k[i], len[i], h); | |
| By Bob Jenkins, 2006. bob_jenkins@burtleburtle.net. You may use this | |
| code any way you wish, private, educational, or commercial. It's free. | |
| Use for hash table lookup, or anything where one collision in 2^^32 is | |
| acceptable. Do NOT use for cryptographic purposes. | |
| ------------------------------------------------------------------------------- | |
| */ | |
| uint32_t hashlittle( const void *key, size_t length, uint32_t initval) | |
| { | |
| uint32_t a,b,c; /* internal state */ | |
| union { const void *ptr; size_t i; } u; /* needed for Mac Powerbook G4 */ | |
| /* Set up the internal state */ | |
| a = b = c = 0xdeadbeef + ((uint32_t)length) + initval; | |
| u.ptr = key; | |
| if (HASH_LITTLE_ENDIAN && ((u.i & 0x3) == 0)) { | |
| const uint32_t *k = (const uint32_t *)key; /* read 32-bit chunks */ | |
| const uint8_t *k8; | |
| /*------ all but last block: aligned reads and affect 32 bits of (a,b,c) */ | |
| while (length > 12) | |
| { | |
| a += k[0]; | |
| b += k[1]; | |
| c += k[2]; | |
| mix(a,b,c); | |
| length -= 12; | |
| k += 3; | |
| } | |
| /*----------------------------- handle the last (probably partial) block */ | |
| /* | |
| * "k[2]&0xffffff" actually reads beyond the end of the string, but | |
| * then masks off the part it's not allowed to read. Because the | |
| * string is aligned, the masked-off tail is in the same word as the | |
| * rest of the string. Every machine with memory protection I've seen | |
| * does it on word boundaries, so is OK with this. But VALGRIND will | |
| * still catch it and complain. The masking trick does make the hash | |
| * noticably faster for short strings (like English words). | |
| */ | |
| #ifndef VALGRIND | |
| switch(length) | |
| { | |
| case 12: c+=k[2]; b+=k[1]; a+=k[0]; break; | |
| case 11: c+=k[2]&0xffffff; b+=k[1]; a+=k[0]; break; | |
| case 10: c+=k[2]&0xffff; b+=k[1]; a+=k[0]; break; | |
| case 9 : c+=k[2]&0xff; b+=k[1]; a+=k[0]; break; | |
| case 8 : b+=k[1]; a+=k[0]; break; | |
| case 7 : b+=k[1]&0xffffff; a+=k[0]; break; | |
| case 6 : b+=k[1]&0xffff; a+=k[0]; break; | |
| case 5 : b+=k[1]&0xff; a+=k[0]; break; | |
| case 4 : a+=k[0]; break; | |
| case 3 : a+=k[0]&0xffffff; break; | |
| case 2 : a+=k[0]&0xffff; break; | |
| case 1 : a+=k[0]&0xff; break; | |
| case 0 : return c; /* zero length strings require no mixing */ | |
| } | |
| #else /* make valgrind happy */ | |
| k8 = (const uint8_t *)k; | |
| switch(length) | |
| { | |
| case 12: c+=k[2]; b+=k[1]; a+=k[0]; break; | |
| case 11: c+=((uint32_t)k8[10])<<16; /* fall through */ | |
| case 10: c+=((uint32_t)k8[9])<<8; /* fall through */ | |
| case 9 : c+=k8[8]; /* fall through */ | |
| case 8 : b+=k[1]; a+=k[0]; break; | |
| case 7 : b+=((uint32_t)k8[6])<<16; /* fall through */ | |
| case 6 : b+=((uint32_t)k8[5])<<8; /* fall through */ | |
| case 5 : b+=k8[4]; /* fall through */ | |
| case 4 : a+=k[0]; break; | |
| case 3 : a+=((uint32_t)k8[2])<<16; /* fall through */ | |
| case 2 : a+=((uint32_t)k8[1])<<8; /* fall through */ | |
| case 1 : a+=k8[0]; break; | |
| case 0 : return c; | |
| } | |
| #endif /* !valgrind */ | |
| } else if (HASH_LITTLE_ENDIAN && ((u.i & 0x1) == 0)) { | |
| const uint16_t *k = (const uint16_t *)key; /* read 16-bit chunks */ | |
| const uint8_t *k8; | |
| /*--------------- all but last block: aligned reads and different mixing */ | |
| while (length > 12) | |
| { | |
| a += k[0] + (((uint32_t)k[1])<<16); | |
| b += k[2] + (((uint32_t)k[3])<<16); | |
| c += k[4] + (((uint32_t)k[5])<<16); | |
| mix(a,b,c); | |
| length -= 12; | |
| k += 6; | |
| } | |
| /*----------------------------- handle the last (probably partial) block */ | |
| k8 = (const uint8_t *)k; | |
| switch(length) | |
| { | |
| case 12: c+=k[4]+(((uint32_t)k[5])<<16); | |
| b+=k[2]+(((uint32_t)k[3])<<16); | |
| a+=k[0]+(((uint32_t)k[1])<<16); | |
| break; | |
| case 11: c+=((uint32_t)k8[10])<<16; /* fall through */ | |
| case 10: c+=k[4]; | |
| b+=k[2]+(((uint32_t)k[3])<<16); | |
| a+=k[0]+(((uint32_t)k[1])<<16); | |
| break; | |
| case 9 : c+=k8[8]; /* fall through */ | |
| case 8 : b+=k[2]+(((uint32_t)k[3])<<16); | |
| a+=k[0]+(((uint32_t)k[1])<<16); | |
| break; | |
| case 7 : b+=((uint32_t)k8[6])<<16; /* fall through */ | |
| case 6 : b+=k[2]; | |
| a+=k[0]+(((uint32_t)k[1])<<16); | |
| break; | |
| case 5 : b+=k8[4]; /* fall through */ | |
| case 4 : a+=k[0]+(((uint32_t)k[1])<<16); | |
| break; | |
| case 3 : a+=((uint32_t)k8[2])<<16; /* fall through */ | |
| case 2 : a+=k[0]; | |
| break; | |
| case 1 : a+=k8[0]; | |
| break; | |
| case 0 : return c; /* zero length requires no mixing */ | |
| } | |
| } else { /* need to read the key one byte at a time */ | |
| const uint8_t *k = (const uint8_t *)key; | |
| /*--------------- all but the last block: affect some 32 bits of (a,b,c) */ | |
| while (length > 12) | |
| { | |
| a += k[0]; | |
| a += ((uint32_t)k[1])<<8; | |
| a += ((uint32_t)k[2])<<16; | |
| a += ((uint32_t)k[3])<<24; | |
| b += k[4]; | |
| b += ((uint32_t)k[5])<<8; | |
| b += ((uint32_t)k[6])<<16; | |
| b += ((uint32_t)k[7])<<24; | |
| c += k[8]; | |
| c += ((uint32_t)k[9])<<8; | |
| c += ((uint32_t)k[10])<<16; | |
| c += ((uint32_t)k[11])<<24; | |
| mix(a,b,c); | |
| length -= 12; | |
| k += 12; | |
| } | |
| /*-------------------------------- last block: affect all 32 bits of (c) */ | |
| switch(length) /* all the case statements fall through */ | |
| { | |
| case 12: c+=((uint32_t)k[11])<<24; | |
| case 11: c+=((uint32_t)k[10])<<16; | |
| case 10: c+=((uint32_t)k[9])<<8; | |
| case 9 : c+=k[8]; | |
| case 8 : b+=((uint32_t)k[7])<<24; | |
| case 7 : b+=((uint32_t)k[6])<<16; | |
| case 6 : b+=((uint32_t)k[5])<<8; | |
| case 5 : b+=k[4]; | |
| case 4 : a+=((uint32_t)k[3])<<24; | |
| case 3 : a+=((uint32_t)k[2])<<16; | |
| case 2 : a+=((uint32_t)k[1])<<8; | |
| case 1 : a+=k[0]; | |
| break; | |
| case 0 : return c; | |
| } | |
| } | |
| final(a,b,c); | |
| return c; | |
| } | |
| /* | |
| * hashlittle2: return 2 32-bit hash values | |
| * | |
| * This is identical to hashlittle(), except it returns two 32-bit hash | |
| * values instead of just one. This is good enough for hash table | |
| * lookup with 2^^64 buckets, or if you want a second hash if you're not | |
| * happy with the first, or if you want a probably-unique 64-bit ID for | |
| * the key. *pc is better mixed than *pb, so use *pc first. If you want | |
| * a 64-bit value do something like "*pc + (((uint64_t)*pb)<<32)". | |
| */ | |
| void hashlittle2( | |
| const void *key, /* the key to hash */ | |
| size_t length, /* length of the key */ | |
| uint32_t *pc, /* IN: primary initval, OUT: primary hash */ | |
| uint32_t *pb) /* IN: secondary initval, OUT: secondary hash */ | |
| { | |
| uint32_t a,b,c; /* internal state */ | |
| union { const void *ptr; size_t i; } u; /* needed for Mac Powerbook G4 */ | |
| /* Set up the internal state */ | |
| a = b = c = 0xdeadbeef + ((uint32_t)length) + *pc; | |
| c += *pb; | |
| u.ptr = key; | |
| if (HASH_LITTLE_ENDIAN && ((u.i & 0x3) == 0)) { | |
| const uint32_t *k = (const uint32_t *)key; /* read 32-bit chunks */ | |
| const uint8_t *k8; | |
| /*------ all but last block: aligned reads and affect 32 bits of (a,b,c) */ | |
| while (length > 12) | |
| { | |
| a += k[0]; | |
| b += k[1]; | |
| c += k[2]; | |
| mix(a,b,c); | |
| length -= 12; | |
| k += 3; | |
| } | |
| /*----------------------------- handle the last (probably partial) block */ | |
| /* | |
| * "k[2]&0xffffff" actually reads beyond the end of the string, but | |
| * then masks off the part it's not allowed to read. Because the | |
| * string is aligned, the masked-off tail is in the same word as the | |
| * rest of the string. Every machine with memory protection I've seen | |
| * does it on word boundaries, so is OK with this. But VALGRIND will | |
| * still catch it and complain. The masking trick does make the hash | |
| * noticably faster for short strings (like English words). | |
| */ | |
| #ifndef VALGRIND | |
| switch(length) | |
| { | |
| case 12: c+=k[2]; b+=k[1]; a+=k[0]; break; | |
| case 11: c+=k[2]&0xffffff; b+=k[1]; a+=k[0]; break; | |
| case 10: c+=k[2]&0xffff; b+=k[1]; a+=k[0]; break; | |
| case 9 : c+=k[2]&0xff; b+=k[1]; a+=k[0]; break; | |
| case 8 : b+=k[1]; a+=k[0]; break; | |
| case 7 : b+=k[1]&0xffffff; a+=k[0]; break; | |
| case 6 : b+=k[1]&0xffff; a+=k[0]; break; | |
| case 5 : b+=k[1]&0xff; a+=k[0]; break; | |
| case 4 : a+=k[0]; break; | |
| case 3 : a+=k[0]&0xffffff; break; | |
| case 2 : a+=k[0]&0xffff; break; | |
| case 1 : a+=k[0]&0xff; break; | |
| case 0 : *pc=c; *pb=b; return; /* zero length strings require no mixing */ | |
| } | |
| #else /* make valgrind happy */ | |
| k8 = (const uint8_t *)k; | |
| switch(length) | |
| { | |
| case 12: c+=k[2]; b+=k[1]; a+=k[0]; break; | |
| case 11: c+=((uint32_t)k8[10])<<16; /* fall through */ | |
| case 10: c+=((uint32_t)k8[9])<<8; /* fall through */ | |
| case 9 : c+=k8[8]; /* fall through */ | |
| case 8 : b+=k[1]; a+=k[0]; break; | |
| case 7 : b+=((uint32_t)k8[6])<<16; /* fall through */ | |
| case 6 : b+=((uint32_t)k8[5])<<8; /* fall through */ | |
| case 5 : b+=k8[4]; /* fall through */ | |
| case 4 : a+=k[0]; break; | |
| case 3 : a+=((uint32_t)k8[2])<<16; /* fall through */ | |
| case 2 : a+=((uint32_t)k8[1])<<8; /* fall through */ | |
| case 1 : a+=k8[0]; break; | |
| case 0 : *pc=c; *pb=b; return; /* zero length strings require no mixing */ | |
| } | |
| #endif /* !valgrind */ | |
| } else if (HASH_LITTLE_ENDIAN && ((u.i & 0x1) == 0)) { | |
| const uint16_t *k = (const uint16_t *)key; /* read 16-bit chunks */ | |
| const uint8_t *k8; | |
| /*--------------- all but last block: aligned reads and different mixing */ | |
| while (length > 12) | |
| { | |
| a += k[0] + (((uint32_t)k[1])<<16); | |
| b += k[2] + (((uint32_t)k[3])<<16); | |
| c += k[4] + (((uint32_t)k[5])<<16); | |
| mix(a,b,c); | |
| length -= 12; | |
| k += 6; | |
| } | |
| /*----------------------------- handle the last (probably partial) block */ | |
| k8 = (const uint8_t *)k; | |
| switch(length) | |
| { | |
| case 12: c+=k[4]+(((uint32_t)k[5])<<16); | |
| b+=k[2]+(((uint32_t)k[3])<<16); | |
| a+=k[0]+(((uint32_t)k[1])<<16); | |
| break; | |
| case 11: c+=((uint32_t)k8[10])<<16; /* fall through */ | |
| case 10: c+=k[4]; | |
| b+=k[2]+(((uint32_t)k[3])<<16); | |
| a+=k[0]+(((uint32_t)k[1])<<16); | |
| break; | |
| case 9 : c+=k8[8]; /* fall through */ | |
| case 8 : b+=k[2]+(((uint32_t)k[3])<<16); | |
| a+=k[0]+(((uint32_t)k[1])<<16); | |
| break; | |
| case 7 : b+=((uint32_t)k8[6])<<16; /* fall through */ | |
| case 6 : b+=k[2]; | |
| a+=k[0]+(((uint32_t)k[1])<<16); | |
| break; | |
| case 5 : b+=k8[4]; /* fall through */ | |
| case 4 : a+=k[0]+(((uint32_t)k[1])<<16); | |
| break; | |
| case 3 : a+=((uint32_t)k8[2])<<16; /* fall through */ | |
| case 2 : a+=k[0]; | |
| break; | |
| case 1 : a+=k8[0]; | |
| break; | |
| case 0 : *pc=c; *pb=b; return; /* zero length strings require no mixing */ | |
| } | |
| } else { /* need to read the key one byte at a time */ | |
| const uint8_t *k = (const uint8_t *)key; | |
| /*--------------- all but the last block: affect some 32 bits of (a,b,c) */ | |
| while (length > 12) | |
| { | |
| a += k[0]; | |
| a += ((uint32_t)k[1])<<8; | |
| a += ((uint32_t)k[2])<<16; | |
| a += ((uint32_t)k[3])<<24; | |
| b += k[4]; | |
| b += ((uint32_t)k[5])<<8; | |
| b += ((uint32_t)k[6])<<16; | |
| b += ((uint32_t)k[7])<<24; | |
| c += k[8]; | |
| c += ((uint32_t)k[9])<<8; | |
| c += ((uint32_t)k[10])<<16; | |
| c += ((uint32_t)k[11])<<24; | |
| mix(a,b,c); | |
| length -= 12; | |
| k += 12; | |
| } | |
| /*-------------------------------- last block: affect all 32 bits of (c) */ | |
| switch(length) /* all the case statements fall through */ | |
| { | |
| case 12: c+=((uint32_t)k[11])<<24; | |
| case 11: c+=((uint32_t)k[10])<<16; | |
| case 10: c+=((uint32_t)k[9])<<8; | |
| case 9 : c+=k[8]; | |
| case 8 : b+=((uint32_t)k[7])<<24; | |
| case 7 : b+=((uint32_t)k[6])<<16; | |
| case 6 : b+=((uint32_t)k[5])<<8; | |
| case 5 : b+=k[4]; | |
| case 4 : a+=((uint32_t)k[3])<<24; | |
| case 3 : a+=((uint32_t)k[2])<<16; | |
| case 2 : a+=((uint32_t)k[1])<<8; | |
| case 1 : a+=k[0]; | |
| break; | |
| case 0 : *pc=c; *pb=b; return; /* zero length strings require no mixing */ | |
| } | |
| } | |
| final(a,b,c); | |
| *pc=c; *pb=b; | |
| } | |
| /* | |
| * hashbig(): | |
| * This is the same as hashword() on big-endian machines. It is different | |
| * from hashlittle() on all machines. hashbig() takes advantage of | |
| * big-endian byte ordering. | |
| */ | |
| uint32_t hashbig( const void *key, size_t length, uint32_t initval) | |
| { | |
| uint32_t a,b,c; | |
| union { const void *ptr; size_t i; } u; /* to cast key to (size_t) happily */ | |
| /* Set up the internal state */ | |
| a = b = c = 0xdeadbeef + ((uint32_t)length) + initval; | |
| u.ptr = key; | |
| if (HASH_BIG_ENDIAN && ((u.i & 0x3) == 0)) { | |
| const uint32_t *k = (const uint32_t *)key; /* read 32-bit chunks */ | |
| const uint8_t *k8; | |
| /*------ all but last block: aligned reads and affect 32 bits of (a,b,c) */ | |
| while (length > 12) | |
| { | |
| a += k[0]; | |
| b += k[1]; | |
| c += k[2]; | |
| mix(a,b,c); | |
| length -= 12; | |
| k += 3; | |
| } | |
| /*----------------------------- handle the last (probably partial) block */ | |
| /* | |
| * "k[2]<<8" actually reads beyond the end of the string, but | |
| * then shifts out the part it's not allowed to read. Because the | |
| * string is aligned, the illegal read is in the same word as the | |
| * rest of the string. Every machine with memory protection I've seen | |
| * does it on word boundaries, so is OK with this. But VALGRIND will | |
| * still catch it and complain. The masking trick does make the hash | |
| * noticably faster for short strings (like English words). | |
| */ | |
| #ifndef VALGRIND | |
| switch(length) | |
| { | |
| case 12: c+=k[2]; b+=k[1]; a+=k[0]; break; | |
| case 11: c+=k[2]&0xffffff00; b+=k[1]; a+=k[0]; break; | |
| case 10: c+=k[2]&0xffff0000; b+=k[1]; a+=k[0]; break; | |
| case 9 : c+=k[2]&0xff000000; b+=k[1]; a+=k[0]; break; | |
| case 8 : b+=k[1]; a+=k[0]; break; | |
| case 7 : b+=k[1]&0xffffff00; a+=k[0]; break; | |
| case 6 : b+=k[1]&0xffff0000; a+=k[0]; break; | |
| case 5 : b+=k[1]&0xff000000; a+=k[0]; break; | |
| case 4 : a+=k[0]; break; | |
| case 3 : a+=k[0]&0xffffff00; break; | |
| case 2 : a+=k[0]&0xffff0000; break; | |
| case 1 : a+=k[0]&0xff000000; break; | |
| case 0 : return c; /* zero length strings require no mixing */ | |
| } | |
| #else /* make valgrind happy */ | |
| k8 = (const uint8_t *)k; | |
| switch(length) /* all the case statements fall through */ | |
| { | |
| case 12: c+=k[2]; b+=k[1]; a+=k[0]; break; | |
| case 11: c+=((uint32_t)k8[10])<<8; /* fall through */ | |
| case 10: c+=((uint32_t)k8[9])<<16; /* fall through */ | |
| case 9 : c+=((uint32_t)k8[8])<<24; /* fall through */ | |
| case 8 : b+=k[1]; a+=k[0]; break; | |
| case 7 : b+=((uint32_t)k8[6])<<8; /* fall through */ | |
| case 6 : b+=((uint32_t)k8[5])<<16; /* fall through */ | |
| case 5 : b+=((uint32_t)k8[4])<<24; /* fall through */ | |
| case 4 : a+=k[0]; break; | |
| case 3 : a+=((uint32_t)k8[2])<<8; /* fall through */ | |
| case 2 : a+=((uint32_t)k8[1])<<16; /* fall through */ | |
| case 1 : a+=((uint32_t)k8[0])<<24; break; | |
| case 0 : return c; | |
| } | |
| #endif /* !VALGRIND */ | |
| } else { /* need to read the key one byte at a time */ | |
| const uint8_t *k = (const uint8_t *)key; | |
| /*--------------- all but the last block: affect some 32 bits of (a,b,c) */ | |
| while (length > 12) | |
| { | |
| a += ((uint32_t)k[0])<<24; | |
| a += ((uint32_t)k[1])<<16; | |
| a += ((uint32_t)k[2])<<8; | |
| a += ((uint32_t)k[3]); | |
| b += ((uint32_t)k[4])<<24; | |
| b += ((uint32_t)k[5])<<16; | |
| b += ((uint32_t)k[6])<<8; | |
| b += ((uint32_t)k[7]); | |
| c += ((uint32_t)k[8])<<24; | |
| c += ((uint32_t)k[9])<<16; | |
| c += ((uint32_t)k[10])<<8; | |
| c += ((uint32_t)k[11]); | |
| mix(a,b,c); | |
| length -= 12; | |
| k += 12; | |
| } | |
| /*-------------------------------- last block: affect all 32 bits of (c) */ | |
| switch(length) /* all the case statements fall through */ | |
| { | |
| case 12: c+=k[11]; | |
| case 11: c+=((uint32_t)k[10])<<8; | |
| case 10: c+=((uint32_t)k[9])<<16; | |
| case 9 : c+=((uint32_t)k[8])<<24; | |
| case 8 : b+=k[7]; | |
| case 7 : b+=((uint32_t)k[6])<<8; | |
| case 6 : b+=((uint32_t)k[5])<<16; | |
| case 5 : b+=((uint32_t)k[4])<<24; | |
| case 4 : a+=k[3]; | |
| case 3 : a+=((uint32_t)k[2])<<8; | |
| case 2 : a+=((uint32_t)k[1])<<16; | |
| case 1 : a+=((uint32_t)k[0])<<24; | |
| break; | |
| case 0 : return c; | |
| } | |
| } | |
| final(a,b,c); | |
| return c; | |
| } | |
| #ifdef SELF_TEST | |
| /* used for timings */ | |
| void driver1() | |
| { | |
| uint8_t buf[256]; | |
| uint32_t i; | |
| uint32_t h=0; | |
| time_t a,z; | |
| time(&a); | |
| for (i=0; i<256; ++i) buf[i] = 'x'; | |
| for (i=0; i<1; ++i) | |
| { | |
| h = hashlittle(&buf[0],1,h); | |
| } | |
| time(&z); | |
| if (z-a > 0) printf("time %d %.8x\n", z-a, h); | |
| } | |
| /* check that every input bit changes every output bit half the time */ | |
| #define HASHSTATE 1 | |
| #define HASHLEN 1 | |
| #define MAXPAIR 60 | |
| #define MAXLEN 70 | |
| void driver2() | |
| { | |
| uint8_t qa[MAXLEN+1], qb[MAXLEN+2], *a = &qa[0], *b = &qb[1]; | |
| uint32_t c[HASHSTATE], d[HASHSTATE], i=0, j=0, k, l, m=0, z; | |
| uint32_t e[HASHSTATE],f[HASHSTATE],g[HASHSTATE],h[HASHSTATE]; | |
| uint32_t x[HASHSTATE],y[HASHSTATE]; | |
| uint32_t hlen; | |
| printf("No more than %d trials should ever be needed \n",MAXPAIR/2); | |
| for (hlen=0; hlen < MAXLEN; ++hlen) | |
| { | |
| z=0; | |
| for (i=0; i<hlen; ++i) /*----------------------- for each input byte, */ | |
| { | |
| for (j=0; j<8; ++j) /*------------------------ for each input bit, */ | |
| { | |
| for (m=1; m<8; ++m) /*------------ for serveral possible initvals, */ | |
| { | |
| for (l=0; l<HASHSTATE; ++l) | |
| e[l]=f[l]=g[l]=h[l]=x[l]=y[l]=~((uint32_t)0); | |
| /*---- check that every output bit is affected by that input bit */ | |
| for (k=0; k<MAXPAIR; k+=2) | |
| { | |
| uint32_t finished=1; | |
| /* keys have one bit different */ | |
| for (l=0; l<hlen+1; ++l) {a[l] = b[l] = (uint8_t)0;} | |
| /* have a and b be two keys differing in only one bit */ | |
| a[i] ^= (k<<j); | |
| a[i] ^= (k>>(8-j)); | |
| c[0] = hashlittle(a, hlen, m); | |
| b[i] ^= ((k+1)<<j); | |
| b[i] ^= ((k+1)>>(8-j)); | |
| d[0] = hashlittle(b, hlen, m); | |
| /* check every bit is 1, 0, set, and not set at least once */ | |
| for (l=0; l<HASHSTATE; ++l) | |
| { | |
| e[l] &= (c[l]^d[l]); | |
| f[l] &= ~(c[l]^d[l]); | |
| g[l] &= c[l]; | |
| h[l] &= ~c[l]; | |
| x[l] &= d[l]; | |
| y[l] &= ~d[l]; | |
| if (e[l]|f[l]|g[l]|h[l]|x[l]|y[l]) finished=0; | |
| } | |
| if (finished) break; | |
| } | |
| if (k>z) z=k; | |
| if (k==MAXPAIR) | |
| { | |
| printf("Some bit didn't change: "); | |
| printf("%.8x %.8x %.8x %.8x %.8x %.8x ", | |
| e[0],f[0],g[0],h[0],x[0],y[0]); | |
| printf("i %d j %d m %d len %d\n", i, j, m, hlen); | |
| } | |
| if (z==MAXPAIR) goto done; | |
| } | |
| } | |
| } | |
| done: | |
| if (z < MAXPAIR) | |
| { | |
| printf("Mix success %2d bytes %2d initvals ",i,m); | |
| printf("required %d trials\n", z/2); | |
| } | |
| } | |
| printf("\n"); | |
| } | |
| /* Check for reading beyond the end of the buffer and alignment problems */ | |
| void driver3() | |
| { | |
| uint8_t buf[MAXLEN+20], *b; | |
| uint32_t len; | |
| uint8_t q[] = "This is the time for all good men to come to the aid of their country..."; | |
| uint32_t h; | |
| uint8_t qq[] = "xThis is the time for all good men to come to the aid of their country..."; | |
| uint32_t i; | |
| uint8_t qqq[] = "xxThis is the time for all good men to come to the aid of their country..."; | |
| uint32_t j; | |
| uint8_t qqqq[] = "xxxThis is the time for all good men to come to the aid of their country..."; | |
| uint32_t ref,x,y; | |
| uint8_t *p; | |
| printf("Endianness. These lines should all be the same (for values filled in):\n"); | |
| printf("%.8x %.8x %.8x\n", | |
| hashword((const uint32_t *)q, (sizeof(q)-1)/4, 13), | |
| hashword((const uint32_t *)q, (sizeof(q)-5)/4, 13), | |
| hashword((const uint32_t *)q, (sizeof(q)-9)/4, 13)); | |
| p = q; | |
| printf("%.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x\n", | |
| hashlittle(p, sizeof(q)-1, 13), hashlittle(p, sizeof(q)-2, 13), | |
| hashlittle(p, sizeof(q)-3, 13), hashlittle(p, sizeof(q)-4, 13), | |
| hashlittle(p, sizeof(q)-5, 13), hashlittle(p, sizeof(q)-6, 13), | |
| hashlittle(p, sizeof(q)-7, 13), hashlittle(p, sizeof(q)-8, 13), | |
| hashlittle(p, sizeof(q)-9, 13), hashlittle(p, sizeof(q)-10, 13), | |
| hashlittle(p, sizeof(q)-11, 13), hashlittle(p, sizeof(q)-12, 13)); | |
| p = &qq[1]; | |
| printf("%.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x\n", | |
| hashlittle(p, sizeof(q)-1, 13), hashlittle(p, sizeof(q)-2, 13), | |
| hashlittle(p, sizeof(q)-3, 13), hashlittle(p, sizeof(q)-4, 13), | |
| hashlittle(p, sizeof(q)-5, 13), hashlittle(p, sizeof(q)-6, 13), | |
| hashlittle(p, sizeof(q)-7, 13), hashlittle(p, sizeof(q)-8, 13), | |
| hashlittle(p, sizeof(q)-9, 13), hashlittle(p, sizeof(q)-10, 13), | |
| hashlittle(p, sizeof(q)-11, 13), hashlittle(p, sizeof(q)-12, 13)); | |
| p = &qqq[2]; | |
| printf("%.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x\n", | |
| hashlittle(p, sizeof(q)-1, 13), hashlittle(p, sizeof(q)-2, 13), | |
| hashlittle(p, sizeof(q)-3, 13), hashlittle(p, sizeof(q)-4, 13), | |
| hashlittle(p, sizeof(q)-5, 13), hashlittle(p, sizeof(q)-6, 13), | |
| hashlittle(p, sizeof(q)-7, 13), hashlittle(p, sizeof(q)-8, 13), | |
| hashlittle(p, sizeof(q)-9, 13), hashlittle(p, sizeof(q)-10, 13), | |
| hashlittle(p, sizeof(q)-11, 13), hashlittle(p, sizeof(q)-12, 13)); | |
| p = &qqqq[3]; | |
| printf("%.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x %.8x\n", | |
| hashlittle(p, sizeof(q)-1, 13), hashlittle(p, sizeof(q)-2, 13), | |
| hashlittle(p, sizeof(q)-3, 13), hashlittle(p, sizeof(q)-4, 13), | |
| hashlittle(p, sizeof(q)-5, 13), hashlittle(p, sizeof(q)-6, 13), | |
| hashlittle(p, sizeof(q)-7, 13), hashlittle(p, sizeof(q)-8, 13), | |
| hashlittle(p, sizeof(q)-9, 13), hashlittle(p, sizeof(q)-10, 13), | |
| hashlittle(p, sizeof(q)-11, 13), hashlittle(p, sizeof(q)-12, 13)); | |
| printf("\n"); | |
| /* check that hashlittle2 and hashlittle produce the same results */ | |
| i=47; j=0; | |
| hashlittle2(q, sizeof(q), &i, &j); | |
| if (hashlittle(q, sizeof(q), 47) != i) | |
| printf("hashlittle2 and hashlittle mismatch\n"); | |
| /* check that hashword2 and hashword produce the same results */ | |
| len = 0xdeadbeef; | |
| i=47, j=0; | |
| hashword2(&len, 1, &i, &j); | |
| if (hashword(&len, 1, 47) != i) | |
| printf("hashword2 and hashword mismatch %x %x\n", | |
| i, hashword(&len, 1, 47)); | |
| /* check hashlittle doesn't read before or after the ends of the string */ | |
| for (h=0, b=buf+1; h<8; ++h, ++b) | |
| { | |
| for (i=0; i<MAXLEN; ++i) | |
| { | |
| len = i; | |
| for (j=0; j<i; ++j) *(b+j)=0; | |
| /* these should all be equal */ | |
| ref = hashlittle(b, len, (uint32_t)1); | |
| *(b+i)=(uint8_t)~0; | |
| *(b-1)=(uint8_t)~0; | |
| x = hashlittle(b, len, (uint32_t)1); | |
| y = hashlittle(b, len, (uint32_t)1); | |
| if ((ref != x) || (ref != y)) | |
| { | |
| printf("alignment error: %.8x %.8x %.8x %d %d\n",ref,x,y, | |
| h, i); | |
| } | |
| } | |
| } | |
| } | |
| /* check for problems with nulls */ | |
| void driver4() | |
| { | |
| uint8_t buf[1]; | |
| uint32_t h,i,state[HASHSTATE]; | |
| buf[0] = ~0; | |
| for (i=0; i<HASHSTATE; ++i) state[i] = 1; | |
| printf("These should all be different\n"); | |
| for (i=0, h=0; i<8; ++i) | |
| { | |
| h = hashlittle(buf, 0, h); | |
| printf("%2ld 0-byte strings, hash is %.8x\n", i, h); | |
| } | |
| } | |
| int main() | |
| { | |
| driver1(); /* test that the key is hashed: used for timings */ | |
| driver2(); /* test that whole key is hashed thoroughly */ | |
| driver3(); /* test that nothing but the key is hashed */ | |
| driver4(); /* test hashing multiple buffers (all buffers are null) */ | |
| return 1; | |
| } | |
| #endif /* SELF_TEST */ | |