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-rw-r--r--lookup2.c416
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-/*
---------------------------------------------------------------------
-lookup2.c, by Bob Jenkins, December 1996, Public Domain.
-hash(), hash2(), hash3, and mix() 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 has no warranty.
---------------------------------------------------------------------
-*/
-#include <stdio.h>
-#include <stddef.h>
-#include <stdlib.h>
-typedef unsigned long int ub4; /* unsigned 4-byte quantities */
-typedef unsigned char ub1;
-
-#define hashsize(n) ((ub4)1<<(n))
-#define hashmask(n) (hashsize(n)-1)
-
-/*
---------------------------------------------------------------------
-mix -- mix 3 32-bit values reversibly.
-For every delta with one or two bit set, and the deltas of all three
- high bits or all three low bits, whether the original value of a,b,c
- is almost all zero or is uniformly distributed,
-* If mix() is run forward or backward, at least 32 bits in a,b,c
- have at least 1/4 probability of changing.
-* If mix() is run forward, every bit of c will change between 1/3 and
- 2/3 of the time. (Well, 22/100 and 78/100 for some 2-bit deltas.)
-mix() was built out of 36 single-cycle latency instructions in a
- structure that could supported 2x parallelism, like so:
- a -= b;
- a -= c; x = (c>>13);
- b -= c; a ^= x;
- b -= a; x = (a<<8);
- c -= a; b ^= x;
- c -= b; x = (b>>13);
- ...
- Unfortunately, superscalar Pentiums and Sparcs can't take advantage
- of that parallelism. They've also turned some of those single-cycle
- latency instructions into multi-cycle latency instructions. Still,
- this is the fastest good hash I could find. There were about 2^^68
- to choose from. I only looked at a billion or so.
---------------------------------------------------------------------
-*/
-#define mix(a,b,c) \
-{ \
- a -= b; a -= c; a ^= (c>>13); \
- b -= c; b -= a; b ^= (a<<8); \
- c -= a; c -= b; c ^= (b>>13); \
- a -= b; a -= c; a ^= (c>>12); \
- b -= c; b -= a; b ^= (a<<16); \
- c -= a; c -= b; c ^= (b>>5); \
- a -= b; a -= c; a ^= (c>>3); \
- b -= c; b -= a; b ^= (a<<10); \
- c -= a; c -= b; c ^= (b>>15); \
-}
-
-/* same, but slower, works on systems that might have 8 byte ub4's */
-#define mix2(a,b,c) \
-{ \
- a -= b; a -= c; a ^= (c>>13); \
- b -= c; b -= a; b ^= (a<< 8); \
- c -= a; c -= b; c ^= ((b&0xffffffff)>>13); \
- a -= b; a -= c; a ^= ((c&0xffffffff)>>12); \
- b -= c; b -= a; b = (b ^ (a<<16)) & 0xffffffff; \
- c -= a; c -= b; c = (c ^ (b>> 5)) & 0xffffffff; \
- a -= b; a -= c; a = (a ^ (c>> 3)) & 0xffffffff; \
- b -= c; b -= a; b = (b ^ (a<<10)) & 0xffffffff; \
- c -= a; c -= b; c = (c ^ (b>>15)) & 0xffffffff; \
-}
-
-/*
---------------------------------------------------------------------
-hash() -- hash a variable-length key into a 32-bit value
- k : the key (the unaligned variable-length array of bytes)
- len : the length of the key, counting by bytes
- level : can be any 4-byte value
-Returns a 32-bit value. Every bit of the key affects every bit of
-the return value. Every 1-bit and 2-bit delta achieves avalanche.
-About 36+6len instructions.
-
-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 (ub1 **)k, do it like this:
- for (i=0, h=0; i<n; ++i) h = hash( k[i], len[i], h);
-
-By Bob Jenkins, 1996. bob_jenkins@burtleburtle.net. You may use this
-code any way you wish, private, educational, or commercial. It's free.
-
-See http://burlteburtle.net/bob/hash/evahash.html
-Use for hash table lookup, or anything where one collision in 2^32 is
-acceptable. Do NOT use for cryptographic purposes.
---------------------------------------------------------------------
-*/
-
-ub4 hash( k, length, initval)
-register ub1 *k; /* the key */
-register ub4 length; /* the length of the key */
-register ub4 initval; /* the previous hash, or an arbitrary value */
-{
- register ub4 a,b,c,len;
-
- /* Set up the internal state */
- len = length;
- a = b = 0x9e3779b9; /* the golden ratio; an arbitrary value */
- c = initval; /* the previous hash value */
-
- /*---------------------------------------- handle most of the key */
- while (len >= 12)
- {
- a += (k[0] +((ub4)k[1]<<8) +((ub4)k[2]<<16) +((ub4)k[3]<<24));
- b += (k[4] +((ub4)k[5]<<8) +((ub4)k[6]<<16) +((ub4)k[7]<<24));
- c += (k[8] +((ub4)k[9]<<8) +((ub4)k[10]<<16)+((ub4)k[11]<<24));
- mix(a,b,c);
- k += 12; len -= 12;
- }
-
- /*------------------------------------- handle the last 11 bytes */
- c += length;
- switch(len) /* all the case statements fall through */
- {
- case 11: c+=((ub4)k[10]<<24);
- case 10: c+=((ub4)k[9]<<16);
- case 9 : c+=((ub4)k[8]<<8);
- /* the first byte of c is reserved for the length */
- case 8 : b+=((ub4)k[7]<<24);
- case 7 : b+=((ub4)k[6]<<16);
- case 6 : b+=((ub4)k[5]<<8);
- case 5 : b+=k[4];
- case 4 : a+=((ub4)k[3]<<24);
- case 3 : a+=((ub4)k[2]<<16);
- case 2 : a+=((ub4)k[1]<<8);
- case 1 : a+=k[0];
- /* case 0: nothing left to add */
- }
- mix(a,b,c);
- /*-------------------------------------------- report the result */
- return c;
-}
-
-
-/*
---------------------------------------------------------------------
- This works on all machines. hash2() is identical to hash() on
- little-endian machines, except that the length has to be measured
- in ub4s instead of bytes. It is much faster than hash(). It
- requires
- -- that the key be an array of ub4's, and
- -- that all your machines have the same endianness, and
- -- that the length be the number of ub4's in the key
---------------------------------------------------------------------
-*/
-ub4 hash2( k, length, initval)
-register ub4 *k; /* the key */
-register ub4 length; /* the length of the key, in ub4s */
-register ub4 initval; /* the previous hash, or an arbitrary value */
-{
- register ub4 a,b,c,len;
-
- /* Set up the internal state */
- len = length;
- a = b = 0x9e3779b9; /* the golden ratio; an arbitrary value */
- c = initval; /* the previous hash value */
-
- /*---------------------------------------- handle most of the key */
- while (len >= 3)
- {
- a += k[0];
- b += k[1];
- c += k[2];
- mix(a,b,c);
- k += 3; len -= 3;
- }
-
- /*-------------------------------------- handle the last 2 ub4's */
- c += length;
- switch(len) /* all the case statements fall through */
- {
- /* c is reserved for the length */
- case 2 : b+=k[1];
- case 1 : a+=k[0];
- /* case 0: nothing left to add */
- }
- mix(a,b,c);
- /*-------------------------------------------- report the result */
- return c;
-}
-
-/*
---------------------------------------------------------------------
- This is identical to hash() on little-endian machines (like Intel
- x86s or VAXen). It gives nondeterministic results on big-endian
- machines. It is faster than hash(), but a little slower than
- hash2(), and it requires
- -- that all your machines be little-endian
---------------------------------------------------------------------
-*/
-
-ub4 hash3( k, length, initval)
-register ub1 *k; /* the key */
-register ub4 length; /* the length of the key */
-register ub4 initval; /* the previous hash, or an arbitrary value */
-{
- register ub4 a,b,c,len;
-
- /* Set up the internal state */
- len = length;
- a = b = 0x9e3779b9; /* the golden ratio; an arbitrary value */
- c = initval; /* the previous hash value */
-
- /*---------------------------------------- handle most of the key */
- if (((ub4)k)&3)
- {
- while (len >= 12) /* unaligned */
- {
- a += (k[0] +((ub4)k[1]<<8) +((ub4)k[2]<<16) +((ub4)k[3]<<24));
- b += (k[4] +((ub4)k[5]<<8) +((ub4)k[6]<<16) +((ub4)k[7]<<24));
- c += (k[8] +((ub4)k[9]<<8) +((ub4)k[10]<<16)+((ub4)k[11]<<24));
- mix(a,b,c);
- k += 12; len -= 12;
- }
- }
- else
- {
- while (len >= 12) /* aligned */
- {
- a += *(ub4 *)(k+0);
- b += *(ub4 *)(k+4);
- c += *(ub4 *)(k+8);
- mix(a,b,c);
- k += 12; len -= 12;
- }
- }
-
- /*------------------------------------- handle the last 11 bytes */
- c += length;
- switch(len) /* all the case statements fall through */
- {
- case 11: c+=((ub4)k[10]<<24);
- case 10: c+=((ub4)k[9]<<16);
- case 9 : c+=((ub4)k[8]<<8);
- /* the first byte of c is reserved for the length */
- case 8 : b+=((ub4)k[7]<<24);
- case 7 : b+=((ub4)k[6]<<16);
- case 6 : b+=((ub4)k[5]<<8);
- case 5 : b+=k[4];
- case 4 : a+=((ub4)k[3]<<24);
- case 3 : a+=((ub4)k[2]<<16);
- case 2 : a+=((ub4)k[1]<<8);
- case 1 : a+=k[0];
- /* case 0: nothing left to add */
- }
- mix(a,b,c);
- /*-------------------------------------------- report the result */
- return c;
-}
-
-
-
-#ifdef SELF_TEST
-
-/* used for timings */
-void driver1()
-{
- ub4 buf[256];
- ub4 i;
- ub4 h=0;
-
- for (i=0; i<256; ++i)
- {
- h = hash(buf,i,h);
- }
-}
-
-/* check that every input bit changes every output bit half the time */
-#define HASHSTATE 1
-#define HASHLEN 1
-#define MAXPAIR 80
-#define MAXLEN 70
-void driver2()
-{
- ub1 qa[MAXLEN+1], qb[MAXLEN+2], *a = &qa[0], *b = &qb[1];
- ub4 c[HASHSTATE], d[HASHSTATE], i, j=0, k, l, m, z;
- ub4 e[HASHSTATE],f[HASHSTATE],g[HASHSTATE],h[HASHSTATE];
- ub4 x[HASHSTATE],y[HASHSTATE];
- ub4 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]=~((ub4)0);
-
- /*---- check that every output bit is affected by that input bit */
- for (k=0; k<MAXPAIR; k+=2)
- {
- ub4 finished=1;
- /* keys have one bit different */
- for (l=0; l<hlen+1; ++l) {a[l] = b[l] = (ub1)0;}
- /* have a and b be two keys differing in only one bit */
- a[i] ^= (k<<j);
- a[i] ^= (k>>(8-j));
- c[0] = hash(a, hlen, m);
- b[i] ^= ((k+1)<<j);
- b[i] ^= ((k+1)>>(8-j));
- d[0] = hash(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("%.8lx %.8lx %.8lx %.8lx %.8lx %.8lx ",
- e[0],f[0],g[0],h[0],x[0],y[0]);
- printf("i %ld j %ld m %ld len %ld\n",i,j,m,hlen);
- }
- if (z==MAXPAIR) goto done;
- }
- }
- }
- done:
- if (z < MAXPAIR)
- {
- printf("Mix success %2ld bytes %2ld initvals ",i,m);
- printf("required %ld trials\n",z/2);
- }
- }
- printf("\n");
-}
-
-/* Check for reading beyond the end of the buffer and alignment problems */
-void driver3()
-{
- ub1 buf[MAXLEN+20], *b;
- ub4 len;
- ub1 q[] = "This is the time for all good men to come to the aid of their country";
- ub1 qq[] = "xThis is the time for all good men to come to the aid of their country";
- ub1 qqq[] = "xxThis is the time for all good men to come to the aid of their country";
- ub1 qqqq[] = "xxxThis is the time for all good men to come to the aid of their country";
- ub4 h,i,j,ref,x,y;
-
- printf("Endianness. These should all be the same:\n");
- printf("%.8lx\n", hash(q, sizeof(q)-1, (ub4)0));
- printf("%.8lx\n", hash(qq+1, sizeof(q)-1, (ub4)0));
- printf("%.8lx\n", hash(qqq+2, sizeof(q)-1, (ub4)0));
- printf("%.8lx\n", hash(qqqq+3, sizeof(q)-1, (ub4)0));
- printf("\n");
- 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 = hash(b, len, (ub4)1);
- *(b+i)=(ub1)~0;
- *(b-1)=(ub1)~0;
- x = hash(b, len, (ub4)1);
- y = hash(b, len, (ub4)1);
- if ((ref != x) || (ref != y))
- {
- printf("alignment error: %.8lx %.8lx %.8lx %ld %ld\n",ref,x,y,h,i);
- }
- }
- }
-}
-
-/* check for problems with nulls */
- void driver4()
-{
- ub1 buf[1];
- ub4 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 = hash(buf, (ub4)0, h);
- printf("%2ld 0-byte strings, hash is %.8lx\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 */