2 * Copyright (C) 2006 Bob Jenkins
3 * Copyright (C) 2011 EfficiOS Inc.
4 * Copyright (C) 2011 Mathieu Desnoyers <mathieu.desnoyers@efficios.com>
6 * SPDX-License-Identifier: LGPL-2.1-only
11 * These are functions for producing 32-bit hashes for hash table lookup.
12 * hashword(), hashlittle(), hashlittle2(), hashbig(), mix(), and final() are
13 * externally useful functions. Routines to test the hash are included if
14 * SELF_TEST is defined. You can use this free for any purpose. It's in the
15 * public domain. It has no warranty.
17 * You probably want to use hashlittle(). hashlittle() and hashbig() hash byte
18 * arrays. hashlittle() is is faster than hashbig() on little-endian machines.
19 * Intel and AMD are little-endian machines. On second thought, you probably
20 * want hashlittle2(), which is identical to hashlittle() except it returns two
21 * 32-bit hashes for the price of one. You could implement hashbig2() if you
22 * wanted but I haven't bothered here.
24 * If you want to find a hash of, say, exactly 7 integers, do
25 * a = i1; b = i2; c = i3;
27 * a += i4; b += i5; c += i6;
31 * then use c as the hash value. If you have a variable length array of
32 * 4-byte integers to hash, use hashword(). If you have a byte array (like
33 * a character string), use hashlittle(). If you have several byte arrays, or
34 * a mix of things, see the comments above hashlittle().
36 * Why is this so big? I read 12 bytes at a time into 3 4-byte integers, then
37 * mix those integers. This is fast (you can do a lot more thorough mixing
38 * with 12*3 instructions on 3 integers than you can with 3 instructions on 1
39 * byte), but shoehorning those bytes into integers efficiently is messy.
45 #include <common/common.hpp>
46 #include <common/compat/endian.hpp> /* attempt to define endianness */
47 #include <common/hashtable/hashtable.hpp>
49 #include <stdint.h> /* defines uint32_t etc */
50 #include <stdio.h> /* defines printf for tests */
52 #include <sys/param.h> /* attempt to define endianness */
53 #include <time.h> /* defines time_t for timings in the test */
54 #include <urcu/compiler.h>
57 * My best guess at if you are big-endian or little-endian. This may
60 #if (defined(BYTE_ORDER) && defined(LITTLE_ENDIAN) && BYTE_ORDER == LITTLE_ENDIAN) || \
61 (defined(i386) || defined(__i386__) || defined(__i486__) || defined(__i586__) || \
62 defined(__i686__) || defined(vax) || defined(MIPSEL))
63 #define HASH_LITTLE_ENDIAN 1
64 #define HASH_BIG_ENDIAN 0
65 #elif (defined(BYTE_ORDER) && defined(BIG_ENDIAN) && BYTE_ORDER == BIG_ENDIAN) || \
66 (defined(sparc) || defined(POWERPC) || defined(mc68000) || defined(sel))
67 #define HASH_LITTLE_ENDIAN 0
68 #define HASH_BIG_ENDIAN 1
70 #define HASH_LITTLE_ENDIAN 0
71 #define HASH_BIG_ENDIAN 0
74 #define hashsize(n) ((uint32_t) 1 << (n))
75 #define hashmask(n) (hashsize(n) - 1)
76 #define rot(x, k) (((x) << (k)) | ((x) >> (32 - (k))))
79 * mix -- mix 3 32-bit values reversibly.
81 * This is reversible, so any information in (a,b,c) before mix() is
82 * still in (a,b,c) after mix().
84 * If four pairs of (a,b,c) inputs are run through mix(), or through
85 * mix() in reverse, there are at least 32 bits of the output that
86 * are sometimes the same for one pair and different for another pair.
87 * This was tested for:
88 * * pairs that differed by one bit, by two bits, in any combination
89 * of top bits of (a,b,c), or in any combination of bottom bits of
91 * * "differ" is defined as +, -, ^, or ~^. For + and -, I transformed
92 * the output delta to a Gray code (a^(a>>1)) so a string of 1's (as
93 * is commonly produced by subtraction) look like a single 1-bit
95 * * the base values were pseudorandom, all zero but one bit set, or
96 * all zero plus a counter that starts at zero.
98 * Some k values for my "a-=c; a^=rot(c,k); c+=b;" arrangement that
103 * Well, "9 15 3 18 27 15" didn't quite get 32 bits diffing
104 * for "differ" defined as + with a one-bit base and a two-bit delta. I
105 * used http://burtleburtle.net/bob/hash/avalanche.html to choose
106 * the operations, constants, and arrangements of the variables.
108 * This does not achieve avalanche. There are input bits of (a,b,c)
109 * that fail to affect some output bits of (a,b,c), especially of a. The
110 * most thoroughly mixed value is c, but it doesn't really even achieve
113 * This allows some parallelism. Read-after-writes are good at doubling
114 * the number of bits affected, so the goal of mixing pulls in the opposite
115 * direction as the goal of parallelism. I did what I could. Rotates
116 * seem to cost as much as shifts on every machine I could lay my hands
117 * on, and rotates are much kinder to the top and bottom bits, so I used
120 #define mix(a, b, c) \
143 * final -- final mixing of 3 32-bit values (a,b,c) into c
145 * Pairs of (a,b,c) values differing in only a few bits will usually
146 * produce values of c that look totally different. This was tested for
147 * * pairs that differed by one bit, by two bits, in any combination
148 * of top bits of (a,b,c), or in any combination of bottom bits of
150 * * "differ" is defined as +, -, ^, or ~^. For + and -, I transformed
151 * the output delta to a Gray code (a^(a>>1)) so a string of 1's (as
152 * is commonly produced by subtraction) look like a single 1-bit
154 * * the base values were pseudorandom, all zero but one bit set, or
155 * all zero plus a counter that starts at zero.
157 * These constants passed:
158 * 14 11 25 16 4 14 24
159 * 12 14 25 16 4 14 24
160 * and these came close:
165 #define final(a, b, c) \
184 * k - the key, an array of uint32_t values
185 * length - the length of the key, in uint32_ts
186 * initval - the previous hash, or an arbitrary value
188 static uint32_t __attribute__((unused
)) hashword(const uint32_t *k
, size_t length
, uint32_t initval
)
192 /* Set up the internal state */
193 a
= b
= c
= 0xdeadbeef + (((uint32_t) length
) << 2) + initval
;
195 /*----------------------------------------- handle most of the key */
205 /*----------------------------------- handle the last 3 uint32_t's */
206 switch (length
) { /* all the case statements fall through */
208 c
+= k
[2]; /* fall through */
210 b
+= k
[1]; /* fall through */
214 case 0: /* case 0: nothing left to add */
217 /*---------------------------------------------- report the result */
222 * hashword2() -- same as hashword(), but take two seeds and return two 32-bit
223 * values. pc and pb must both be nonnull, and *pc and *pb must both be
224 * initialized with seeds. If you pass in (*pb)==0, the output (*pc) will be
225 * the same as the return value from hashword().
227 static void __attribute__((unused
))
228 hashword2(const uint32_t *k
, size_t length
, uint32_t *pc
, uint32_t *pb
)
232 /* Set up the internal state */
233 a
= b
= c
= 0xdeadbeef + ((uint32_t) (length
<< 2)) + *pc
;
256 case 0: /* case 0: nothing left to add */
265 * hashlittle() -- hash a variable-length key into a 32-bit value
266 * k : the key (the unaligned variable-length array of bytes)
267 * length : the length of the key, counting by bytes
268 * initval : can be any 4-byte value
269 * Returns a 32-bit value. Every bit of the key affects every bit of
270 * the return value. Two keys differing by one or two bits will have
271 * totally different hash values.
273 * The best hash table sizes are powers of 2. There is no need to do
274 * mod a prime (mod is sooo slow!). If you need less than 32 bits,
275 * use a bitmask. For example, if you need only 10 bits, do
276 * h = (h & hashmask(10));
277 * In which case, the hash table should have hashsize(10) elements.
279 * If you are hashing n strings (uint8_t **)k, do it like this:
280 * for (i=0, h=0; i<n; ++i) h = hashlittle( k[i], len[i], h);
282 * By Bob Jenkins, 2006. bob_jenkins@burtleburtle.net. You may use this
283 * code any way you wish, private, educational, or commercial. It's free.
285 * Use for hash table lookup, or anything where one collision in 2^^32 is
286 * acceptable. Do NOT use for cryptographic purposes.
288 LTTNG_NO_SANITIZE_ADDRESS
289 __attribute__((unused
)) static uint32_t hashlittle(const void *key
, size_t length
, uint32_t initval
)
295 } u
; /* needed for Mac Powerbook G4 */
297 /* Set up the internal state */
298 a
= b
= c
= 0xdeadbeef + ((uint32_t) length
) + initval
;
301 if (HASH_LITTLE_ENDIAN
&& ((u
.i
& 0x3) == 0)) {
302 const uint32_t *k
= (const uint32_t *) key
; /* read 32-bit chunks */
304 /*------ all but last block: aligned reads and affect 32 bits of (a,b,c) */
305 while (length
> 12) {
315 * "k[2]&0xffffff" actually reads beyond the end of the string, but
316 * then masks off the part it's not allowed to read. Because the
317 * string is aligned, the masked-off tail is in the same word as the
318 * rest of the string. Every machine with memory protection I've seen
319 * does it on word boundaries, so is OK with this. But VALGRIND will
320 * still catch it and complain. The masking trick does make the hash
321 * noticably faster for short strings (like English words).
332 c
+= k
[2] & 0xffffff;
351 b
+= k
[1] & 0xffffff;
366 a
+= k
[0] & 0xffffff;
375 return c
; /* zero length strings require no mixing */
377 #else /* make valgrind happy */
380 k8
= (const uint8_t *) k
;
388 c
+= ((uint32_t) k8
[10]) << 16; /* fall through */
390 c
+= ((uint32_t) k8
[9]) << 8; /* fall through */
392 c
+= k8
[8]; /* fall through */
398 b
+= ((uint32_t) k8
[6]) << 16; /* fall through */
400 b
+= ((uint32_t) k8
[5]) << 8; /* fall through */
402 b
+= k8
[4]; /* fall through */
407 a
+= ((uint32_t) k8
[2]) << 16; /* fall through */
409 a
+= ((uint32_t) k8
[1]) << 8; /* fall through */
416 #endif /* !valgrind */
417 } else if (HASH_LITTLE_ENDIAN
&& ((u
.i
& 0x1) == 0)) {
418 const uint16_t *k
= (const uint16_t *) key
; /* read 16-bit chunks */
421 /*--------------- all but last block: aligned reads and different mixing */
422 while (length
> 12) {
423 a
+= k
[0] + (((uint32_t) k
[1]) << 16);
424 b
+= k
[2] + (((uint32_t) k
[3]) << 16);
425 c
+= k
[4] + (((uint32_t) k
[5]) << 16);
431 k8
= (const uint8_t *) k
;
434 c
+= k
[4] + (((uint32_t) k
[5]) << 16);
435 b
+= k
[2] + (((uint32_t) k
[3]) << 16);
436 a
+= k
[0] + (((uint32_t) k
[1]) << 16);
439 c
+= ((uint32_t) k8
[10]) << 16; /* fall through */
442 b
+= k
[2] + (((uint32_t) k
[3]) << 16);
443 a
+= k
[0] + (((uint32_t) k
[1]) << 16);
446 c
+= k8
[8]; /* fall through */
448 b
+= k
[2] + (((uint32_t) k
[3]) << 16);
449 a
+= k
[0] + (((uint32_t) k
[1]) << 16);
452 b
+= ((uint32_t) k8
[6]) << 16; /* fall through */
455 a
+= k
[0] + (((uint32_t) k
[1]) << 16);
458 b
+= k8
[4]; /* fall through */
460 a
+= k
[0] + (((uint32_t) k
[1]) << 16);
463 a
+= ((uint32_t) k8
[2]) << 16; /* fall through */
471 return c
; /* zero length requires no mixing */
474 } else { /* need to read the key one byte at a time */
475 const uint8_t *k
= (const uint8_t *) key
;
477 while (length
> 12) {
479 a
+= ((uint32_t) k
[1]) << 8;
480 a
+= ((uint32_t) k
[2]) << 16;
481 a
+= ((uint32_t) k
[3]) << 24;
483 b
+= ((uint32_t) k
[5]) << 8;
484 b
+= ((uint32_t) k
[6]) << 16;
485 b
+= ((uint32_t) k
[7]) << 24;
487 c
+= ((uint32_t) k
[9]) << 8;
488 c
+= ((uint32_t) k
[10]) << 16;
489 c
+= ((uint32_t) k
[11]) << 24;
495 switch (length
) { /* all the case statements fall through */
497 c
+= ((uint32_t) k
[11]) << 24; /* fall through */
499 c
+= ((uint32_t) k
[10]) << 16; /* fall through */
501 c
+= ((uint32_t) k
[9]) << 8; /* fall through */
503 c
+= k
[8]; /* fall through */
505 b
+= ((uint32_t) k
[7]) << 24; /* fall through */
507 b
+= ((uint32_t) k
[6]) << 16; /* fall through */
509 b
+= ((uint32_t) k
[5]) << 8; /* fall through */
511 b
+= k
[4]; /* fall through */
513 a
+= ((uint32_t) k
[3]) << 24; /* fall through */
515 a
+= ((uint32_t) k
[2]) << 16; /* fall through */
517 a
+= ((uint32_t) k
[1]) << 8; /* fall through */
530 unsigned long hash_key_u64(const void *_key
, unsigned long seed
)
541 v
.v64
= (uint64_t) seed
;
542 key
.v64
= *(const uint64_t *) _key
;
543 hashword2(key
.v32
, 2, &v
.v32
[0], &v
.v32
[1]);
547 #if (CAA_BITS_PER_LONG == 64)
549 * Hash function for number value.
550 * Pass the value itself as the key, not its address.
552 unsigned long hash_key_ulong(const void *_key
, unsigned long seed
)
554 uint64_t __key
= (uint64_t) _key
;
555 return (unsigned long) hash_key_u64(&__key
, seed
);
559 * Hash function for number value.
560 * Pass the value itself as the key, not its address.
562 unsigned long hash_key_ulong(const void *_key
, unsigned long seed
)
564 uint32_t key
= (uint32_t) _key
;
566 return hashword(&key
, 1, seed
);
568 #endif /* CAA_BITS_PER_LONG */
571 * Hash function for string.
573 unsigned long hash_key_str(const void *key
, unsigned long seed
)
575 return hashlittle(key
, strlen((const char *) key
), seed
);
579 * Hash function for two uint64_t.
581 unsigned long hash_key_two_u64(const void *key
, unsigned long seed
)
583 const struct lttng_ht_two_u64
*k
= (const struct lttng_ht_two_u64
*) key
;
585 return hash_key_u64(&k
->key1
, seed
) ^ hash_key_u64(&k
->key2
, seed
);
589 * Hash function compare for number value.
591 int hash_match_key_ulong(const void *key1
, const void *key2
)
601 * Hash function compare for number value.
603 int hash_match_key_u64(const void *key1
, const void *key2
)
605 if (*(const uint64_t *) key1
== *(const uint64_t *) key2
) {
613 * Hash compare function for string.
615 int hash_match_key_str(const void *key1
, const void *key2
)
617 if (strcmp((const char *) key1
, (const char *) key2
) == 0) {
625 * Hash function compare two uint64_t.
627 int hash_match_key_two_u64(const void *key1
, const void *key2
)
629 const struct lttng_ht_two_u64
*k1
= (const struct lttng_ht_two_u64
*) key1
;
630 const struct lttng_ht_two_u64
*k2
= (const struct lttng_ht_two_u64
*) key2
;
632 if (hash_match_key_u64(&k1
->key1
, &k2
->key1
) && hash_match_key_u64(&k1
->key2
, &k2
->key2
)) {