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1 /* An expandable hash tables datatype.
2 Copyright (C) 1999, 2000, 2001, 2002, 2003, 2004, 2009
3 Free Software Foundation, Inc.
4 Contributed by Vladimir Makarov (vmakarov@cygnus.com).
6 This file is part of the libiberty library.
7 Libiberty is free software; you can redistribute it and/or
8 modify it under the terms of the GNU Library General Public
9 License as published by the Free Software Foundation; either
10 version 2 of the License, or (at your option) any later version.
12 Libiberty is distributed in the hope that it will be useful,
13 but WITHOUT ANY WARRANTY; without even the implied warranty of
14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
15 Library General Public License for more details.
17 You should have received a copy of the GNU Library General Public
18 License along with libiberty; see the file COPYING.LIB. If
19 not, write to the Free Software Foundation, Inc., 51 Franklin Street - Fifth Floor,
20 Boston, MA 02110-1301, USA. */
22 /* This package implements basic hash table functionality. It is possible
23 to search for an entry, create an entry and destroy an entry.
25 Elements in the table are generic pointers.
27 The size of the table is not fixed; if the occupancy of the table
28 grows too high the hash table will be expanded.
30 The abstract data implementation is based on generalized Algorithm D
31 from Knuth's book "The art of computer programming". Hash table is
32 expanded by creation of new hash table and transferring elements from
33 the old table to the new table. */
35 #ifdef HAVE_CONFIG_H
36 #include "config.h"
37 #endif
39 #include <sys/types.h>
41 #ifdef HAVE_STDLIB_H
42 #include <stdlib.h>
43 #endif
44 #ifdef HAVE_STRING_H
45 #include <string.h>
46 #endif
47 #ifdef HAVE_MALLOC_H
48 #include <malloc.h>
49 #endif
50 #ifdef HAVE_LIMITS_H
51 #include <limits.h>
52 #endif
53 #ifdef HAVE_INTTYPES_H
54 #include <inttypes.h>
55 #endif
56 #ifdef HAVE_STDINT_H
57 #include <stdint.h>
58 #endif
60 #include <stdio.h>
62 #include "libiberty.h"
63 #include "ansidecl.h"
64 #include "hashtab.h"
66 #ifndef CHAR_BIT
67 #define CHAR_BIT 8
68 #endif
70 static unsigned int higher_prime_index (unsigned long);
71 static hashval_t htab_mod_1 (hashval_t, hashval_t, hashval_t, int);
72 static hashval_t htab_mod (hashval_t, htab_t);
73 static hashval_t htab_mod_m2 (hashval_t, htab_t);
74 static hashval_t hash_pointer (const void *);
75 static int eq_pointer (const void *, const void *);
76 static int htab_expand (htab_t);
77 static PTR *find_empty_slot_for_expand (htab_t, hashval_t);
79 /* At some point, we could make these be NULL, and modify the
80 hash-table routines to handle NULL specially; that would avoid
81 function-call overhead for the common case of hashing pointers. */
82 htab_hash htab_hash_pointer = hash_pointer;
83 htab_eq htab_eq_pointer = eq_pointer;
85 /* Table of primes and multiplicative inverses.
87 Note that these are not minimally reduced inverses. Unlike when generating
88 code to divide by a constant, we want to be able to use the same algorithm
89 all the time. All of these inverses (are implied to) have bit 32 set.
91 For the record, here's the function that computed the table; it's a
92 vastly simplified version of the function of the same name from gcc. */
94 #if 0
95 unsigned int
96 ceil_log2 (unsigned int x)
98 int i;
99 for (i = 31; i >= 0 ; --i)
100 if (x > (1u << i))
101 return i+1;
102 abort ();
105 unsigned int
106 choose_multiplier (unsigned int d, unsigned int *mlp, unsigned char *shiftp)
108 unsigned long long mhigh;
109 double nx;
110 int lgup, post_shift;
111 int pow, pow2;
112 int n = 32, precision = 32;
114 lgup = ceil_log2 (d);
115 pow = n + lgup;
116 pow2 = n + lgup - precision;
118 nx = ldexp (1.0, pow) + ldexp (1.0, pow2);
119 mhigh = nx / d;
121 *shiftp = lgup - 1;
122 *mlp = mhigh;
123 return mhigh >> 32;
125 #endif
127 struct prime_ent
129 hashval_t prime;
130 hashval_t inv;
131 hashval_t inv_m2; /* inverse of prime-2 */
132 hashval_t shift;
135 static struct prime_ent const prime_tab[] = {
136 { 7, 0x24924925, 0x9999999b, 2 },
137 { 13, 0x3b13b13c, 0x745d1747, 3 },
138 { 31, 0x08421085, 0x1a7b9612, 4 },
139 { 61, 0x0c9714fc, 0x15b1e5f8, 5 },
140 { 127, 0x02040811, 0x0624dd30, 6 },
141 { 251, 0x05197f7e, 0x073260a5, 7 },
142 { 509, 0x01824366, 0x02864fc8, 8 },
143 { 1021, 0x00c0906d, 0x014191f7, 9 },
144 { 2039, 0x0121456f, 0x0161e69e, 10 },
145 { 4093, 0x00300902, 0x00501908, 11 },
146 { 8191, 0x00080041, 0x00180241, 12 },
147 { 16381, 0x000c0091, 0x00140191, 13 },
148 { 32749, 0x002605a5, 0x002a06e6, 14 },
149 { 65521, 0x000f00e2, 0x00110122, 15 },
150 { 131071, 0x00008001, 0x00018003, 16 },
151 { 262139, 0x00014002, 0x0001c004, 17 },
152 { 524287, 0x00002001, 0x00006001, 18 },
153 { 1048573, 0x00003001, 0x00005001, 19 },
154 { 2097143, 0x00004801, 0x00005801, 20 },
155 { 4194301, 0x00000c01, 0x00001401, 21 },
156 { 8388593, 0x00001e01, 0x00002201, 22 },
157 { 16777213, 0x00000301, 0x00000501, 23 },
158 { 33554393, 0x00001381, 0x00001481, 24 },
159 { 67108859, 0x00000141, 0x000001c1, 25 },
160 { 134217689, 0x000004e1, 0x00000521, 26 },
161 { 268435399, 0x00000391, 0x000003b1, 27 },
162 { 536870909, 0x00000019, 0x00000029, 28 },
163 { 1073741789, 0x0000008d, 0x00000095, 29 },
164 { 2147483647, 0x00000003, 0x00000007, 30 },
165 /* Avoid "decimal constant so large it is unsigned" for 4294967291. */
166 { 0xfffffffb, 0x00000006, 0x00000008, 31 }
169 /* The following function returns an index into the above table of the
170 nearest prime number which is greater than N, and near a power of two. */
172 static unsigned int
173 higher_prime_index (unsigned long n)
175 unsigned int low = 0;
176 unsigned int high = sizeof(prime_tab) / sizeof(prime_tab[0]);
178 while (low != high)
180 unsigned int mid = low + (high - low) / 2;
181 if (n > prime_tab[mid].prime)
182 low = mid + 1;
183 else
184 high = mid;
187 /* If we've run out of primes, abort. */
188 if (n > prime_tab[low].prime)
190 fprintf (stderr, "Cannot find prime bigger than %lu\n", n);
191 abort ();
194 return low;
197 /* Returns a hash code for P. */
199 static hashval_t
200 hash_pointer (const PTR p)
202 return (hashval_t) ((intptr_t)p >> 3);
205 /* Returns non-zero if P1 and P2 are equal. */
207 static int
208 eq_pointer (const PTR p1, const PTR p2)
210 return p1 == p2;
214 /* The parens around the function names in the next two definitions
215 are essential in order to prevent macro expansions of the name.
216 The bodies, however, are expanded as expected, so they are not
217 recursive definitions. */
219 /* Return the current size of given hash table. */
221 #define htab_size(htab) ((htab)->size)
223 size_t
224 (htab_size) (htab_t htab)
226 return htab_size (htab);
229 /* Return the current number of elements in given hash table. */
231 #define htab_elements(htab) ((htab)->n_elements - (htab)->n_deleted)
233 size_t
234 (htab_elements) (htab_t htab)
236 return htab_elements (htab);
239 /* Return X % Y. */
241 static inline hashval_t
242 htab_mod_1 (hashval_t x, hashval_t y, hashval_t inv, int shift)
244 /* The multiplicative inverses computed above are for 32-bit types, and
245 requires that we be able to compute a highpart multiply. */
246 #ifdef UNSIGNED_64BIT_TYPE
247 __extension__ typedef UNSIGNED_64BIT_TYPE ull;
248 if (sizeof (hashval_t) * CHAR_BIT <= 32)
250 hashval_t t1, t2, t3, t4, q, r;
252 t1 = ((ull)x * inv) >> 32;
253 t2 = x - t1;
254 t3 = t2 >> 1;
255 t4 = t1 + t3;
256 q = t4 >> shift;
257 r = x - (q * y);
259 return r;
261 #endif
263 /* Otherwise just use the native division routines. */
264 return x % y;
267 /* Compute the primary hash for HASH given HTAB's current size. */
269 static inline hashval_t
270 htab_mod (hashval_t hash, htab_t htab)
272 const struct prime_ent *p = &prime_tab[htab->size_prime_index];
273 return htab_mod_1 (hash, p->prime, p->inv, p->shift);
276 /* Compute the secondary hash for HASH given HTAB's current size. */
278 static inline hashval_t
279 htab_mod_m2 (hashval_t hash, htab_t htab)
281 const struct prime_ent *p = &prime_tab[htab->size_prime_index];
282 return 1 + htab_mod_1 (hash, p->prime - 2, p->inv_m2, p->shift);
285 /* This function creates table with length slightly longer than given
286 source length. Created hash table is initiated as empty (all the
287 hash table entries are HTAB_EMPTY_ENTRY). The function returns the
288 created hash table, or NULL if memory allocation fails. */
290 htab_t
291 htab_create_alloc (size_t size, htab_hash hash_f, htab_eq eq_f,
292 htab_del del_f, htab_alloc alloc_f, htab_free free_f)
294 htab_t result;
295 unsigned int size_prime_index;
297 size_prime_index = higher_prime_index (size);
298 size = prime_tab[size_prime_index].prime;
300 result = (htab_t) (*alloc_f) (1, sizeof (struct htab));
301 if (result == NULL)
302 return NULL;
303 result->entries = (PTR *) (*alloc_f) (size, sizeof (PTR));
304 if (result->entries == NULL)
306 if (free_f != NULL)
307 (*free_f) (result);
308 return NULL;
310 result->size = size;
311 result->size_prime_index = size_prime_index;
312 result->hash_f = hash_f;
313 result->eq_f = eq_f;
314 result->del_f = del_f;
315 result->alloc_f = alloc_f;
316 result->free_f = free_f;
317 return result;
320 /* As above, but use the variants of alloc_f and free_f which accept
321 an extra argument. */
323 htab_t
324 htab_create_alloc_ex (size_t size, htab_hash hash_f, htab_eq eq_f,
325 htab_del del_f, void *alloc_arg,
326 htab_alloc_with_arg alloc_f,
327 htab_free_with_arg free_f)
329 htab_t result;
330 unsigned int size_prime_index;
332 size_prime_index = higher_prime_index (size);
333 size = prime_tab[size_prime_index].prime;
335 result = (htab_t) (*alloc_f) (alloc_arg, 1, sizeof (struct htab));
336 if (result == NULL)
337 return NULL;
338 result->entries = (PTR *) (*alloc_f) (alloc_arg, size, sizeof (PTR));
339 if (result->entries == NULL)
341 if (free_f != NULL)
342 (*free_f) (alloc_arg, result);
343 return NULL;
345 result->size = size;
346 result->size_prime_index = size_prime_index;
347 result->hash_f = hash_f;
348 result->eq_f = eq_f;
349 result->del_f = del_f;
350 result->alloc_arg = alloc_arg;
351 result->alloc_with_arg_f = alloc_f;
352 result->free_with_arg_f = free_f;
353 return result;
356 /* Update the function pointers and allocation parameter in the htab_t. */
358 void
359 htab_set_functions_ex (htab_t htab, htab_hash hash_f, htab_eq eq_f,
360 htab_del del_f, PTR alloc_arg,
361 htab_alloc_with_arg alloc_f, htab_free_with_arg free_f)
363 htab->hash_f = hash_f;
364 htab->eq_f = eq_f;
365 htab->del_f = del_f;
366 htab->alloc_arg = alloc_arg;
367 htab->alloc_with_arg_f = alloc_f;
368 htab->free_with_arg_f = free_f;
371 /* These functions exist solely for backward compatibility. */
373 #undef htab_create
374 htab_t
375 htab_create (size_t size, htab_hash hash_f, htab_eq eq_f, htab_del del_f)
377 return htab_create_alloc (size, hash_f, eq_f, del_f, xcalloc, free);
380 htab_t
381 htab_try_create (size_t size, htab_hash hash_f, htab_eq eq_f, htab_del del_f)
383 return htab_create_alloc (size, hash_f, eq_f, del_f, calloc, free);
386 /* This function frees all memory allocated for given hash table.
387 Naturally the hash table must already exist. */
389 void
390 htab_delete (htab_t htab)
392 size_t size = htab_size (htab);
393 PTR *entries = htab->entries;
394 int i;
396 if (htab->del_f)
397 for (i = size - 1; i >= 0; i--)
398 if (entries[i] != HTAB_EMPTY_ENTRY && entries[i] != HTAB_DELETED_ENTRY)
399 (*htab->del_f) (entries[i]);
401 if (htab->free_f != NULL)
403 (*htab->free_f) (entries);
404 (*htab->free_f) (htab);
406 else if (htab->free_with_arg_f != NULL)
408 (*htab->free_with_arg_f) (htab->alloc_arg, entries);
409 (*htab->free_with_arg_f) (htab->alloc_arg, htab);
413 /* This function clears all entries in the given hash table. */
415 void
416 htab_empty (htab_t htab)
418 size_t size = htab_size (htab);
419 PTR *entries = htab->entries;
420 int i;
422 if (htab->del_f)
423 for (i = size - 1; i >= 0; i--)
424 if (entries[i] != HTAB_EMPTY_ENTRY && entries[i] != HTAB_DELETED_ENTRY)
425 (*htab->del_f) (entries[i]);
427 /* Instead of clearing megabyte, downsize the table. */
428 if (size > 1024*1024 / sizeof (PTR))
430 int nindex = higher_prime_index (1024 / sizeof (PTR));
431 int nsize = prime_tab[nindex].prime;
433 if (htab->free_f != NULL)
434 (*htab->free_f) (htab->entries);
435 else if (htab->free_with_arg_f != NULL)
436 (*htab->free_with_arg_f) (htab->alloc_arg, htab->entries);
437 if (htab->alloc_with_arg_f != NULL)
438 htab->entries = (PTR *) (*htab->alloc_with_arg_f) (htab->alloc_arg, nsize,
439 sizeof (PTR *));
440 else
441 htab->entries = (PTR *) (*htab->alloc_f) (nsize, sizeof (PTR *));
442 htab->size = nsize;
443 htab->size_prime_index = nindex;
445 else
446 memset (entries, 0, size * sizeof (PTR));
447 htab->n_deleted = 0;
448 htab->n_elements = 0;
451 /* Similar to htab_find_slot, but without several unwanted side effects:
452 - Does not call htab->eq_f when it finds an existing entry.
453 - Does not change the count of elements/searches/collisions in the
454 hash table.
455 This function also assumes there are no deleted entries in the table.
456 HASH is the hash value for the element to be inserted. */
458 static PTR *
459 find_empty_slot_for_expand (htab_t htab, hashval_t hash)
461 hashval_t index = htab_mod (hash, htab);
462 size_t size = htab_size (htab);
463 PTR *slot = htab->entries + index;
464 hashval_t hash2;
466 if (*slot == HTAB_EMPTY_ENTRY)
467 return slot;
468 else if (*slot == HTAB_DELETED_ENTRY)
469 abort ();
471 hash2 = htab_mod_m2 (hash, htab);
472 for (;;)
474 index += hash2;
475 if (index >= size)
476 index -= size;
478 slot = htab->entries + index;
479 if (*slot == HTAB_EMPTY_ENTRY)
480 return slot;
481 else if (*slot == HTAB_DELETED_ENTRY)
482 abort ();
486 /* The following function changes size of memory allocated for the
487 entries and repeatedly inserts the table elements. The occupancy
488 of the table after the call will be about 50%. Naturally the hash
489 table must already exist. Remember also that the place of the
490 table entries is changed. If memory allocation failures are allowed,
491 this function will return zero, indicating that the table could not be
492 expanded. If all goes well, it will return a non-zero value. */
494 static int
495 htab_expand (htab_t htab)
497 PTR *oentries;
498 PTR *olimit;
499 PTR *p;
500 PTR *nentries;
501 size_t nsize, osize, elts;
502 unsigned int oindex, nindex;
504 oentries = htab->entries;
505 oindex = htab->size_prime_index;
506 osize = htab->size;
507 olimit = oentries + osize;
508 elts = htab_elements (htab);
510 /* Resize only when table after removal of unused elements is either
511 too full or too empty. */
512 if (elts * 2 > osize || (elts * 8 < osize && osize > 32))
514 nindex = higher_prime_index (elts * 2);
515 nsize = prime_tab[nindex].prime;
517 else
519 nindex = oindex;
520 nsize = osize;
523 if (htab->alloc_with_arg_f != NULL)
524 nentries = (PTR *) (*htab->alloc_with_arg_f) (htab->alloc_arg, nsize,
525 sizeof (PTR *));
526 else
527 nentries = (PTR *) (*htab->alloc_f) (nsize, sizeof (PTR *));
528 if (nentries == NULL)
529 return 0;
530 htab->entries = nentries;
531 htab->size = nsize;
532 htab->size_prime_index = nindex;
533 htab->n_elements -= htab->n_deleted;
534 htab->n_deleted = 0;
536 p = oentries;
539 PTR x = *p;
541 if (x != HTAB_EMPTY_ENTRY && x != HTAB_DELETED_ENTRY)
543 PTR *q = find_empty_slot_for_expand (htab, (*htab->hash_f) (x));
545 *q = x;
548 p++;
550 while (p < olimit);
552 if (htab->free_f != NULL)
553 (*htab->free_f) (oentries);
554 else if (htab->free_with_arg_f != NULL)
555 (*htab->free_with_arg_f) (htab->alloc_arg, oentries);
556 return 1;
559 /* This function searches for a hash table entry equal to the given
560 element. It cannot be used to insert or delete an element. */
563 htab_find_with_hash (htab_t htab, const PTR element, hashval_t hash)
565 hashval_t index, hash2;
566 size_t size;
567 PTR entry;
569 htab->searches++;
570 size = htab_size (htab);
571 index = htab_mod (hash, htab);
573 entry = htab->entries[index];
574 if (entry == HTAB_EMPTY_ENTRY
575 || (entry != HTAB_DELETED_ENTRY && (*htab->eq_f) (entry, element)))
576 return entry;
578 hash2 = htab_mod_m2 (hash, htab);
579 for (;;)
581 htab->collisions++;
582 index += hash2;
583 if (index >= size)
584 index -= size;
586 entry = htab->entries[index];
587 if (entry == HTAB_EMPTY_ENTRY
588 || (entry != HTAB_DELETED_ENTRY && (*htab->eq_f) (entry, element)))
589 return entry;
593 /* Like htab_find_slot_with_hash, but compute the hash value from the
594 element. */
597 htab_find (htab_t htab, const PTR element)
599 return htab_find_with_hash (htab, element, (*htab->hash_f) (element));
602 /* This function searches for a hash table slot containing an entry
603 equal to the given element. To delete an entry, call this with
604 insert=NO_INSERT, then call htab_clear_slot on the slot returned
605 (possibly after doing some checks). To insert an entry, call this
606 with insert=INSERT, then write the value you want into the returned
607 slot. When inserting an entry, NULL may be returned if memory
608 allocation fails. */
610 PTR *
611 htab_find_slot_with_hash (htab_t htab, const PTR element,
612 hashval_t hash, enum insert_option insert)
614 PTR *first_deleted_slot;
615 hashval_t index, hash2;
616 size_t size;
617 PTR entry;
619 size = htab_size (htab);
620 if (insert == INSERT && size * 3 <= htab->n_elements * 4)
622 if (htab_expand (htab) == 0)
623 return NULL;
624 size = htab_size (htab);
627 index = htab_mod (hash, htab);
629 htab->searches++;
630 first_deleted_slot = NULL;
632 entry = htab->entries[index];
633 if (entry == HTAB_EMPTY_ENTRY)
634 goto empty_entry;
635 else if (entry == HTAB_DELETED_ENTRY)
636 first_deleted_slot = &htab->entries[index];
637 else if ((*htab->eq_f) (entry, element))
638 return &htab->entries[index];
640 hash2 = htab_mod_m2 (hash, htab);
641 for (;;)
643 htab->collisions++;
644 index += hash2;
645 if (index >= size)
646 index -= size;
648 entry = htab->entries[index];
649 if (entry == HTAB_EMPTY_ENTRY)
650 goto empty_entry;
651 else if (entry == HTAB_DELETED_ENTRY)
653 if (!first_deleted_slot)
654 first_deleted_slot = &htab->entries[index];
656 else if ((*htab->eq_f) (entry, element))
657 return &htab->entries[index];
660 empty_entry:
661 if (insert == NO_INSERT)
662 return NULL;
664 if (first_deleted_slot)
666 htab->n_deleted--;
667 *first_deleted_slot = HTAB_EMPTY_ENTRY;
668 return first_deleted_slot;
671 htab->n_elements++;
672 return &htab->entries[index];
675 /* Like htab_find_slot_with_hash, but compute the hash value from the
676 element. */
678 PTR *
679 htab_find_slot (htab_t htab, const PTR element, enum insert_option insert)
681 return htab_find_slot_with_hash (htab, element, (*htab->hash_f) (element),
682 insert);
685 /* This function deletes an element with the given value from hash
686 table (the hash is computed from the element). If there is no matching
687 element in the hash table, this function does nothing. */
689 void
690 htab_remove_elt (htab_t htab, PTR element)
692 htab_remove_elt_with_hash (htab, element, (*htab->hash_f) (element));
696 /* This function deletes an element with the given value from hash
697 table. If there is no matching element in the hash table, this
698 function does nothing. */
700 void
701 htab_remove_elt_with_hash (htab_t htab, PTR element, hashval_t hash)
703 PTR *slot;
705 slot = htab_find_slot_with_hash (htab, element, hash, NO_INSERT);
706 if (*slot == HTAB_EMPTY_ENTRY)
707 return;
709 if (htab->del_f)
710 (*htab->del_f) (*slot);
712 *slot = HTAB_DELETED_ENTRY;
713 htab->n_deleted++;
716 /* This function clears a specified slot in a hash table. It is
717 useful when you've already done the lookup and don't want to do it
718 again. */
720 void
721 htab_clear_slot (htab_t htab, PTR *slot)
723 if (slot < htab->entries || slot >= htab->entries + htab_size (htab)
724 || *slot == HTAB_EMPTY_ENTRY || *slot == HTAB_DELETED_ENTRY)
725 abort ();
727 if (htab->del_f)
728 (*htab->del_f) (*slot);
730 *slot = HTAB_DELETED_ENTRY;
731 htab->n_deleted++;
734 /* This function scans over the entire hash table calling
735 CALLBACK for each live entry. If CALLBACK returns false,
736 the iteration stops. INFO is passed as CALLBACK's second
737 argument. */
739 void
740 htab_traverse_noresize (htab_t htab, htab_trav callback, PTR info)
742 PTR *slot;
743 PTR *limit;
745 slot = htab->entries;
746 limit = slot + htab_size (htab);
750 PTR x = *slot;
752 if (x != HTAB_EMPTY_ENTRY && x != HTAB_DELETED_ENTRY)
753 if (!(*callback) (slot, info))
754 break;
756 while (++slot < limit);
759 /* Like htab_traverse_noresize, but does resize the table when it is
760 too empty to improve effectivity of subsequent calls. */
762 void
763 htab_traverse (htab_t htab, htab_trav callback, PTR info)
765 size_t size = htab_size (htab);
766 if (htab_elements (htab) * 8 < size && size > 32)
767 htab_expand (htab);
769 htab_traverse_noresize (htab, callback, info);
772 /* Return the fraction of fixed collisions during all work with given
773 hash table. */
775 double
776 htab_collisions (htab_t htab)
778 if (htab->searches == 0)
779 return 0.0;
781 return (double) htab->collisions / (double) htab->searches;
784 /* Hash P as a null-terminated string.
786 Copied from gcc/hashtable.c. Zack had the following to say with respect
787 to applicability, though note that unlike hashtable.c, this hash table
788 implementation re-hashes rather than chain buckets.
790 http://gcc.gnu.org/ml/gcc-patches/2001-08/msg01021.html
791 From: Zack Weinberg <zackw@panix.com>
792 Date: Fri, 17 Aug 2001 02:15:56 -0400
794 I got it by extracting all the identifiers from all the source code
795 I had lying around in mid-1999, and testing many recurrences of
796 the form "H_n = H_{n-1} * K + c_n * L + M" where K, L, M were either
797 prime numbers or the appropriate identity. This was the best one.
798 I don't remember exactly what constituted "best", except I was
799 looking at bucket-length distributions mostly.
801 So it should be very good at hashing identifiers, but might not be
802 as good at arbitrary strings.
804 I'll add that it thoroughly trounces the hash functions recommended
805 for this use at http://burtleburtle.net/bob/hash/index.html, both
806 on speed and bucket distribution. I haven't tried it against the
807 function they just started using for Perl's hashes. */
809 hashval_t
810 htab_hash_string (const PTR p)
812 const unsigned char *str = (const unsigned char *) p;
813 hashval_t r = 0;
814 unsigned char c;
816 while ((c = *str++) != 0)
817 r = r * 67 + c - 113;
819 return r;
822 /* DERIVED FROM:
823 --------------------------------------------------------------------
824 lookup2.c, by Bob Jenkins, December 1996, Public Domain.
825 hash(), hash2(), hash3, and mix() are externally useful functions.
826 Routines to test the hash are included if SELF_TEST is defined.
827 You can use this free for any purpose. It has no warranty.
828 --------------------------------------------------------------------
832 --------------------------------------------------------------------
833 mix -- mix 3 32-bit values reversibly.
834 For every delta with one or two bit set, and the deltas of all three
835 high bits or all three low bits, whether the original value of a,b,c
836 is almost all zero or is uniformly distributed,
837 * If mix() is run forward or backward, at least 32 bits in a,b,c
838 have at least 1/4 probability of changing.
839 * If mix() is run forward, every bit of c will change between 1/3 and
840 2/3 of the time. (Well, 22/100 and 78/100 for some 2-bit deltas.)
841 mix() was built out of 36 single-cycle latency instructions in a
842 structure that could supported 2x parallelism, like so:
843 a -= b;
844 a -= c; x = (c>>13);
845 b -= c; a ^= x;
846 b -= a; x = (a<<8);
847 c -= a; b ^= x;
848 c -= b; x = (b>>13);
850 Unfortunately, superscalar Pentiums and Sparcs can't take advantage
851 of that parallelism. They've also turned some of those single-cycle
852 latency instructions into multi-cycle latency instructions. Still,
853 this is the fastest good hash I could find. There were about 2^^68
854 to choose from. I only looked at a billion or so.
855 --------------------------------------------------------------------
857 /* same, but slower, works on systems that might have 8 byte hashval_t's */
858 #define mix(a,b,c) \
860 a -= b; a -= c; a ^= (c>>13); \
861 b -= c; b -= a; b ^= (a<< 8); \
862 c -= a; c -= b; c ^= ((b&0xffffffff)>>13); \
863 a -= b; a -= c; a ^= ((c&0xffffffff)>>12); \
864 b -= c; b -= a; b = (b ^ (a<<16)) & 0xffffffff; \
865 c -= a; c -= b; c = (c ^ (b>> 5)) & 0xffffffff; \
866 a -= b; a -= c; a = (a ^ (c>> 3)) & 0xffffffff; \
867 b -= c; b -= a; b = (b ^ (a<<10)) & 0xffffffff; \
868 c -= a; c -= b; c = (c ^ (b>>15)) & 0xffffffff; \
872 --------------------------------------------------------------------
873 hash() -- hash a variable-length key into a 32-bit value
874 k : the key (the unaligned variable-length array of bytes)
875 len : the length of the key, counting by bytes
876 level : can be any 4-byte value
877 Returns a 32-bit value. Every bit of the key affects every bit of
878 the return value. Every 1-bit and 2-bit delta achieves avalanche.
879 About 36+6len instructions.
881 The best hash table sizes are powers of 2. There is no need to do
882 mod a prime (mod is sooo slow!). If you need less than 32 bits,
883 use a bitmask. For example, if you need only 10 bits, do
884 h = (h & hashmask(10));
885 In which case, the hash table should have hashsize(10) elements.
887 If you are hashing n strings (ub1 **)k, do it like this:
888 for (i=0, h=0; i<n; ++i) h = hash( k[i], len[i], h);
890 By Bob Jenkins, 1996. bob_jenkins@burtleburtle.net. You may use this
891 code any way you wish, private, educational, or commercial. It's free.
893 See http://burtleburtle.net/bob/hash/evahash.html
894 Use for hash table lookup, or anything where one collision in 2^32 is
895 acceptable. Do NOT use for cryptographic purposes.
896 --------------------------------------------------------------------
899 hashval_t
900 iterative_hash (const PTR k_in /* the key */,
901 register size_t length /* the length of the key */,
902 register hashval_t initval /* the previous hash, or
903 an arbitrary value */)
905 register const unsigned char *k = (const unsigned char *)k_in;
906 register hashval_t a,b,c,len;
908 /* Set up the internal state */
909 len = length;
910 a = b = 0x9e3779b9; /* the golden ratio; an arbitrary value */
911 c = initval; /* the previous hash value */
913 /*---------------------------------------- handle most of the key */
914 #ifndef WORDS_BIGENDIAN
915 /* On a little-endian machine, if the data is 4-byte aligned we can hash
916 by word for better speed. This gives nondeterministic results on
917 big-endian machines. */
918 if (sizeof (hashval_t) == 4 && (((size_t)k)&3) == 0)
919 while (len >= 12) /* aligned */
921 a += *(hashval_t *)(k+0);
922 b += *(hashval_t *)(k+4);
923 c += *(hashval_t *)(k+8);
924 mix(a,b,c);
925 k += 12; len -= 12;
927 else /* unaligned */
928 #endif
929 while (len >= 12)
931 a += (k[0] +((hashval_t)k[1]<<8) +((hashval_t)k[2]<<16) +((hashval_t)k[3]<<24));
932 b += (k[4] +((hashval_t)k[5]<<8) +((hashval_t)k[6]<<16) +((hashval_t)k[7]<<24));
933 c += (k[8] +((hashval_t)k[9]<<8) +((hashval_t)k[10]<<16)+((hashval_t)k[11]<<24));
934 mix(a,b,c);
935 k += 12; len -= 12;
938 /*------------------------------------- handle the last 11 bytes */
939 c += length;
940 switch(len) /* all the case statements fall through */
942 case 11: c+=((hashval_t)k[10]<<24);
943 case 10: c+=((hashval_t)k[9]<<16);
944 case 9 : c+=((hashval_t)k[8]<<8);
945 /* the first byte of c is reserved for the length */
946 case 8 : b+=((hashval_t)k[7]<<24);
947 case 7 : b+=((hashval_t)k[6]<<16);
948 case 6 : b+=((hashval_t)k[5]<<8);
949 case 5 : b+=k[4];
950 case 4 : a+=((hashval_t)k[3]<<24);
951 case 3 : a+=((hashval_t)k[2]<<16);
952 case 2 : a+=((hashval_t)k[1]<<8);
953 case 1 : a+=k[0];
954 /* case 0: nothing left to add */
956 mix(a,b,c);
957 /*-------------------------------------------- report the result */
958 return c;